3.5% of a number is 49 what is my original nnumber

Answers

Answer 1

Answer:

1400

Step-by-step explanation:

To preface, we should think about how percentages are taken from original numbers, and we may apply the operations oppositely.

First, let's set up an equation.

Let 3.5% equal to 49, where 3.5% is multiplied by x and x = the unknown factor.

3.5x = 49

Divide both sides by 3.5 to get x by itself.

3.5x/3.5 = 49/3.5

= x = 14.

Multiply the number by 100 and you will get your answer of 1400.

Check:

3.5% to decimal is... 3.5/100 = 0.035.

Multiply the quotient by the answer 1400 and you will obtain the given number of a percentage.

0.035 x 1400 = 49.


Related Questions

b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine​

Answers

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

For more questions on Velocity .

https://brainly.com/question/25749514

#SPJ8

There are five boys to every seven girls in an introductory geology course. If there are 408
students enrolled in the course, how many are boys?

Answers

Answer:

170 boys

Step-by-step explanation:

If there are five boys to every seven girls, then one group will have a total of 12 students.

Since there are 408 total students enrolled, then there would be 408/12 = 34 groups.

Therefore, there are 5*34 = 170 boys

Right triangle trig ratios, please answer fast, 20 points!

Answers

Step-by-step explanation:

SIn      S-O-H

sin is   opposite leg / hypotenuse

sin Φ = 20/29 =.69

A coffee shop serves an average of 75 customers per hour during the morning rush. Find the probability that 80 customers arrive in an hour during tomorrow's morning rush. Round answer to 4 decimal places.

Answers

The probability that 80 customers will arrive during tomorrow's morning rush is approximately 0.0629, rounded to 4 decimal places.

To find the probability that 80 customers will arrive during tomorrow's morning rush, we can use the Poisson distribution. The Poisson distribution is commonly used to model the number of events that occur in a fixed interval of time or space.

In this case, the average number of customers per hour is given as 75. The Poisson distribution is defined by a single parameter, λ (lambda), which represents the average rate of the event occurring in the given interval.

To calculate the probability, we can use the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

where P(x; λ) represents the probability of x events occurring given the average rate λ.

In this case, x = 80 and λ = 75. Plugging these values into the formula, we get:

P(80; 75) = (e^(-75) * 75^80) / 80!

Calculating this expression using a calculator or software, we find that P(80; 75) ≈ 0.0629.

The probability that 80 customers will arrive during tomorrow's morning rush is approximately 0.0629, rounded to 4 decimal places.

For more such questions on probability

https://brainly.com/question/251701

#SPJ8

A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?

Answers

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Which inequality has infinitely many negative integer solutions?

x>5
0 < x
x ≤ 1
x ≥8

Answers

The inequality "x ≤ 1" has infinitely many negative integer solutions as any negative integer value for x satisfies this condition.

The inequality that has infinitely many negative integer solutions is "x ≤ 1".

To understand why this is the case, let's break down the inequality and consider its implications. The inequality x ≤ 1 means that x is less than or equal to 1. In other words, any value of x that is smaller than or equal to 1 satisfies this inequality.

Now, when it comes to negative integers, they are numbers less than zero. Since negative integers are smaller than 1, any negative integer value for x will fulfill the condition x ≤ 1. For example, if we take x = -1, -2, -3, and so on, they are all less than or equal to 1, thereby satisfying the inequality.

Moreover, there are infinitely many negative integers (-1, -2, -3, and so on), meaning that there is no limit to the number of negative integer solutions that satisfy x ≤ 1. Hence, the inequality has infinitely many negative integer solutions.

On the other hand, the inequalities "x > 5" and "0 < x" do not have infinitely many negative integer solutions. "x > 5" implies that x must be greater than 5, excluding negative integers. "0 < x" states that x must be greater than zero, also excluding negative integers. Finally, "x ≥ 8" requires x to be greater than or equal to 8, which again does not include negative integers.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ8

If y=3x−2 and x=6 , find the value of y .

Answers

Answer:

y = 16

Step-by-step explanation:

y = 3x - 2 ← substitute x = 6

y = 3(6) - 2 = 18 - 2 = 16

a translation to the right has been applied to triangle ABC such that side AB coincides with side DE and side BC coincides with side EF, thus demonstrating that angle b and angle e have the same measure.

what is true about side AC?

thank you in advance!!!

Answers

Since the translation moved the entire triangle ABC to the right without rotating it, the length of side AC remains the same. Therefore, side AC is congruent to side DF.

You may need to use the appropriate appendix table or technology to answer this question.

Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces.

(a) The process standard deviation is 0.16, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.84 or greater than 10.16 ounces will be classified as defects. (Round your answer to the nearest integer.)

Calculate the probability of a defect. (Round your answer to four decimal places.)

Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.)
defects

(b) Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains the same, with weights less than 9.84 or greater than 10.16 ounces being classified as defects.

Calculate the probability of a defect. (Round your answer to four decimal places.)

Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.)
defects

(c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?

a. Reducing the process standard deviation causes a substantial reduction in the number of defects.

b. Reducing the process standard deviation causes no change in the number of defects.

c. Reducing the process standard deviation causes a substantial increase in the number of defects.

Answers

The answer to the following questions is: (a) So, the expected number of defects = 1000 × 0.3174 ≈ 317, rounded to the nearest integer. (b) expected number of defects = 1000 × 0.0456 ≈ 46, rounded to the nearest integer. (c) So, the option (a) is correct.

(a) The probability of a defect is 0.1587.  The z-values for 9.84 and 10.16 are -1.00 and 1.00 respectively. Therefore, P( -1.00 < z < 1.00) = P(z < 1.00) - P(z < -1.00) = 0.8413 - 0.1587 = 0.6826. Hence, the probability of a defect is 1- 0.6826 = 0.3174, rounded to four decimal places.
The expected number of defects for a 1,000-unit production run can be calculated by multiplying the number of units produced by the probability of defects. So, the expected number of defects = 1000 × 0.3174 ≈ 317, rounded to the nearest integer.

(b) The probability of a defect is 0.0228.  The z-values for 9.84 and 10.16 are -1.00 and 1.00 respectively. Therefore, P(-1.00 < z < 1.00) = P(z < 1.00) - P(z < -1.00) = 0.9772 - 0.0228 = 0.9544. Hence, the probability of a defect is 1 - 0.9544 = 0.0456, rounded to four decimal places.
The expected number of defects for a 1,000-unit production run can be calculated by multiplying the number of units produced by the probability of defects. So, the expected number of defects = 1000 × 0.0456 ≈ 46, rounded to the nearest integer.

(c) Reducing the process variation has an advantage in terms of quality control. If the process variation is decreased, the control limits are placed at a greater number of standard deviations from the mean. In order to detect changes in the process more quickly, the control limits must be placed at a greater distance from the mean.

By reducing process variation, the number of defective items produced can be minimized. Hence, the advantage of reducing process variation is reducing the process standard deviation causes a substantial reduction in the number of defects. Therefore, the option (a) is correct.

For more questions on: integer

https://brainly.com/question/17695139

#SPJ8

Conduct a survey based on one of the topics below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The topics are as follows: • The number of coins that teachers carry with them • The distance between a teacher's place of residence and her/his place of employment (school) • The school shoe sizes of grade 4 learners Follow these steps: Step 1: Collecting and organising data 1. Select one of the topics above and formulate it into a researchable title. (2) 2. Write down the main research question that will guide your investigation. (2) 3. What will be the source(s) of data for the topic you have selected? (2) 4. What data collection instrument will you use for your investigation? (2) 5. State whether you will obtain categorical data or numerical data. If the data will be numeric, state whether it will be discrete or continuous. (3) 6. Write down the question(s) that you would include in the instrument of your choice to help you get the information (data) necessary to answer the main research question. (2) 7. Gather data from a sample of 20–25 respondents using the instrument you designed. Attach one of the completed instruments to your solution. (10) 8. Use tally marks and a table to record the data in question 7. (7) [30] Step 2: Representing data 9. Which graph best represents the data that you sorted or organised in question 8? Explain your answer. (6) 10. Draw the graph that best represents the data you sorted in question 8. (5) 11. Write down two questions that will assist you in interpreting the graph that you drew in question 9.

Answers

Title: The Number of Coins That Teachers Carry with Them

Research Report

1. Research Question: What is the average number of coins carried by teachers?

2. Data Source: The data will be collected directly from teachers in a sample group.

3. Data Collection Instrument: A survey questionnaire will be used to collect the necessary data. The questionnaire will contain questions about the number of coins carried by teachers on a regular basis.

4. Data Type: Numerical data will be obtained, specifically discrete data.

5. Instrument Questions:

a) How many coins do you carry with you on a daily basis?

b) What is the highest number of coins you have carried with you?

6. Completed Instrument: Please find the attached completed survey questionnaire.

7. Data Collection: Data will be gathered from a sample of 20-25 respondents using the survey questionnaire.

8. Tally Marks and Data Table:

Number of Coins Tally

1

2

3

4

5

6

7

8

9

10

Step 2: Representing Data

9. The graph that best represents the data collected would be a bar graph. A bar graph is suitable for displaying discrete numerical data, such as the number of coins carried by teachers. It allows for easy visualization and comparison of the frequencies of different coin quantities.

Graph:

 |          

 |  |        

 |  ||    |  

 |  |||   |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

 |  ||||  |  

-----+--------+-----

1 5 10 15 20

10. Questions for Interpreting the Graph:

a) What is the most common number of coins carried by teachers?

b) How many teachers carry more than five coins with them?

11. Interpretation:

Based on the bar graph, it can be observed that the most common number of coins carried by teachers is around 4. Additionally, approximately 10 teachers carry more than five coins with them. This information provides insights into the typical coin-carrying habits of teachers within the sample group.

For more such questions on Number

https://brainly.com/question/24644930

#SPJ8

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t^2−16t+55


Rewrite the formula in factored form and select each true statement below.



The swimmer reaches a maximum depth of 16 feet.

The swimmer reaches a maximum depth of 16 feet.

The swimmer dives into the water 5 seconds after the timer is started.

The swimmer dives into the water 5 seconds after the timer is started.

The swimmer comes back up 16 seconds after the timer is started.

The swimmer comes back up 16 seconds after the timer is started.

The swimmer comes back up 11 seconds after the timer is started.

The swimmer comes back up 11 seconds after the timer is started.

This function shows that the swimmer dives into the water two separate times.

(sorry the answers duplicated themselves)

Answers

Answer: The formula in factored form is h(t) = (t - 5)(t - 11). The true statements are B and D.

Step-by-step explanation: To rewrite the formula in factored form, we need to find two numbers that multiply to 55 and add to -16. These numbers are -5 and -11. So, we can write:

h(t) = t^2 - 16t + 55 h(t) = (t - 5)(t - 11)

This means that the swimmer’s depth is zero when t = 5 or t = 11. These are the times when the swimmer dives into the water and comes back up, respectively. So statement B and D are true.

To find the maximum depth of the swimmer, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:

x = -b/2a x = -(-16)/2(1) x = 8

The y-coordinate of the vertex is given by:

y = h(8) y = (8 - 5)(8 - 11) y = (-3)(-3) y = 9

So the maximum depth of the swimmer is 9 feet, not 16 feet. Therefore, statement A is false.

Statement C is also false because the swimmer comes back up at t = 11, not t = 16.

Statement E is also false because the function shows that the swimmer dives into the water only once, not twice. The function has only two zeros, which correspond to the times when the swimmer enters and exits the water.

Hope this helps, and have a great day! =)

An equation is shown below: 5x + 3(x- 5) =6x + 2x- 15 What is the solution to this equation?​

Answers

Answer:

All Real Number

Step-by-step explanation:

5x + 3(x - 5) = 6x + 2x - 15

5x + 3x - 15 = 8x - 15

8x - 15 = 8x - 15

-15 = -15

Since the -15 = -15, the equation will always be true for any value of x.

So, the answer is All Real Number.

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data. y = 3.4x + 43 According to the model, what is the average number of pizzas sold in one night if no coupons are issued? Responses 0 pizzas 0 pizzas 21 pizzas 21 pizzas 43 pizzas 43 pizzas 60 pizzas 60 pizzas 70 pizzas

Answers

Answer: 43

Step-by-step explanation:

Look at the graph when 0 coupons are sold - the line is at about 45. The closest answer to that is 43.

Sarah is looking to take out a mortgage for $300, 000 from a bank offering a monthly
interest rate of 0.525 %. If Sarah makes monthly payments of $1925, determine how
long it will take her to pay off the loan, to the nearest tenth of a year, using the
formula below.

Answers

It will take Sarah approximately 15.9 years to pay off the loan.


To determine how long it will take Sarah to pay off the loan, we can use the formula for the number of periods required to pay off a loan:

[tex]\(n = \frac{{\log\left(\frac{{P \cdot r}}{{P - M \cdot r}}\right)}}{{\log(1 + r)}}\)[/tex]

Where:

n is the number of periods (in this case, the number of months)

P is the principal amount (loan amount), which is $300,000

r is the monthly interest rate, which is 0.525% or 0.00525 (expressed as a decimal)

M is the monthly payment, which is $1,925

Substituting the values into the formula, we have:

[tex]\(n = \frac{{\log\left(\frac{{300,000 \cdot 0.00525}}{{300,000 - 1,925 \cdot 0.00525}}\right)}}{{\log(1 + 0.00525)}}\)[/tex]

Using a calculator to evaluate the logarithms and perform the division, we find that [tex]\(n \approx 190.6\)[/tex] months.

Since we are asked to determine the time to the nearest tenth of a year, we divide 190.6 by 12 to convert it into years:

[tex]\(\frac{{190.6}}{{12}} \approx 15.9\) years[/tex]

Therefore, it will take Sarah approximately 15.9 years to pay off the loan.


To more on interest:
https://brainly.com/question/25720319
#SPJ8

PLEASE HELP

1,0008 = 10w
W =

Answers

The simplified equation 1,0008 = 10w can be represented as 1024 = 10w, and we can determine that w is equivalent to 24 by comparing the exponents. This implies that the value of w required to make the equation true is 24.

To simplify the equation[tex]1,000^{8}[/tex]= [tex]10^{w}[/tex], we need to recognize that 1,000 is equal to [tex]10^{3}[/tex]. Therefore, we can rewrite the equation as [tex](10^{3})^{8}[/tex] = [tex]10^{w}[/tex]

Using the property of exponents, when raising a power to another power, we multiply the exponents. Applying this property, we get [tex]10^{3*8}[/tex] = [tex]10^{w}[/tex].

Simplifying further, we have [tex]10^{24}[/tex] = [tex]10^{w}[/tex].

In order for two exponential expressions to be equal, their bases must be the same. In this case, both bases are 10. Therefore, we can conclude that the exponents must also be equal.

Hence, w = 24.

The simplified equation 1,000^8 =[tex]10^{w}[/tex]can be expressed as [tex]10^{24}[/tex] = [tex]10^{w}[/tex], and by comparing the exponents, we find that w is equal to 24. This means that the value of w that makes the equation true is 24.

Know more about  property of exponents here:

https://brainly.com/question/3187898

#SPJ8

What is the equation of the straight line shown below? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.
PLEASE HELP!ASAP!


(Photo given below.)​

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 8) ← 2 points on the line

m = [tex]\frac{8-0}{0-(-4)}[/tex] = [tex]\frac{8}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

the line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = 2x + 8 ← equation of line

When Boris had 3 years left in college, he took out a student loan for $15,485. The loan has an annual interest rate of 6.6%. Boris graduated 3 years after acquiring the loan and began repaying the loan immediately upon graduation.
According to the terms of the loan, Boris will make monthly payments for 10 years after graduation. During the 3 years he was in school and not making payments, the loan accrued simple interest.

Answers

Let's break down the calculation into several steps.

1. First, we will calculate the amount of interest that accrued over the 3 years that Boris was in school. This will be calculated using the formula for simple interest, which is:

   I = PRT,

   where:

   I is the interest,

   P is the principal amount (the initial amount of money),

   R is the rate of interest per period, and

   T is the time the money is invested for.

2. Next, we will add this accrued interest to the initial loan amount to find out how much Boris owes when he starts repaying the loan.

3. Finally, we will calculate the monthly payments Boris has to make. This will be calculated using the formula for an amortizing loan, which takes into account both the principal and the interest on the loan. The formula for the monthly payment of an amortizing loan is:

   M = P[r(1 + r)^n] / [(1 + r)^n – 1],

   where:

   M is your monthly payment,

   P is the principal loan amount,

   r is your monthly interest rate (annual interest rate divided by 12),

   n is the number of payments (the number of months you will be paying the loan).

Let's do these calculations.

1. Calculate the accrued interest over the 3 years in school:

   I = PRT

   I = $15,485 * 6.6/100 * 3

   I = $3060.57

2. Calculate the total amount owed at the start of repayment:

   Total = Principal + Interest

   Total = $15,485 + $3060.57

   Total = $18,545.57

3. Calculate the monthly payments:

   First, convert the annual interest rate to a monthly rate:

   r = 6.6% / 12 / 100 = 0.0055 per month

   Then, use the formula for the monthly payment of an amortizing loan:

   M = $18,545.57 * [0.0055(1 + 0.0055)^120] / [(1 + 0.0055)^120 – 1]

   M = $210.83

So, Boris will have to make monthly payments of approximately $210.83 for 10 years after he graduates.

nine balls marked1 to 9 are placed in a box. if you pick one ball at random. what is the probability that an 8 is taken out

Answers

Answer:

P(8) = 1/9

Step-by-step explanation:

There are 9 balls, 1,2,3,4,5,6,7,8,9

We want to get ball 8

P(8) = number of balls marked 8/ total number of balls

       = 1/9

Answer:

P = 1/9

Step-by-step explanation:

In this scenario, there are a total of nine balls in the box, numbered from 1 to 9 (1,2,3,4,5,6,7,8,9). We are interested in finding the probability of selecting the ball marked with the number 8.The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.In this case, the number of favorable outcomes is 1 because there is only one ball marked with the number 8.The total number of possible outcomes is 9 since there are nine balls in total.

Probability of selecting the ball marked with 8

[tex]\sf Probability = \dfrac{Number\: of \:favorable\: outcomes }{ Total \:number\: of\: possible\: outcomes}\\\\\sf Probability = \dfrac{1 }{9}[/tex]

Simplify i10
Enter the power that is a multiple of 4 first

Answers

i^10 = (i^2)^5

= (-1)^5

= -1
Final answer:

The mathematical term 'i' is the imaginary unit which is defined by its property i²=-1. The powers of 'i' follow a pattern that repeats every 4 numbers, so i¹⁰ is the same as i², which is -1.

Explanation:

In mathematics, i is the imaginary unit, which is defined by the property that i2 = -1. When raising i to a power, there's a pattern that repeats every 4 numbers. Specifically, i1 = i, i2 = -1, i3 = -i, and i4 = 1. This pattern starts over with i5 = i, i6 = -1, etc.

Given this, to find i10, you can realize that 10 is a multiple of 4 (2*4) plus 2. So i10 is same as i2, which is -1.

Learn more about Imaginary Unit here:

https://brainly.com/question/20059440

#SPJ11

Please help I need help urgently

Answers

9. How does g(x) differ from the graph of f(x): A. the graph translates to the right 1 unit.

10. How does g(x) differ from the graph of f(x): A. the graph translates up 1 unit.

What is a translation?

In Mathematics and Geometry, the translation of a graph to the right adds a number to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph up adds a number to the numerical value on the y-coordinate of the pre-image:

g(x) = f(x) + N

Question 9.

The graph of the parent exponential function [tex]f(x) = 6^x[/tex] is shifted to the right by 1 unit, in order to produce the graph of this transformed exponential function [tex]g(x) = 6^{x-1}[/tex].

Question 9.

The graph of the parent exponential function [tex]f(x) = 2^x[/tex] is shifted to the up by 1 unit, in order to produce the graph of this transformed exponential function [tex]g(x) = 2^{x}+1[/tex].

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

17. Diane is making a quilt. She needs three
pieces with a yellow undertone, two pieces
with a blue undertone, and four pieces with
a white undertone. If she has six squares
with a yellow undertone, five with a blue
undertone, and eight with a white undertone
to choose from, in how many ways can she
choose the squares for the quilt?

Answers

There are 14,000 different ways for Diane to choose the squares for her quilt.

In how many ways can she choose the squares for the quilt?

we want to find the number of ways Diane can choose the squares for her quilt, we can use the concept of combinations.

Diane needs to choose three squares with a yellow undertone, two squares with a blue undertone, and four squares with a white undertone. She has six squares with a yellow undertone, five squares with a blue undertone, and eight squares with a white undertone to choose from.

The number of ways to choose the squares for each color can be calculated using combinations:

Number of ways to choose yellow squares = C(6, 3) = 6! / (3! * (6 - 3)!) = 20Number of ways to choose blue squares = C(5, 2) = 5! / (2! * (5 - 2)!) = 10Number of ways to choose white squares = C(8, 4) = 8! / (4! * (8 - 4)!) = 70

To calculate the total number of ways to choose the squares for the quilt, we multiply the number of ways for each color together:

Total number of ways = 20 * 10 * 70 = 14,000

there are 14,000 ways for Diane to choose the squares for her quilt.

Learn more about combinations at:

https://brainly.com/question/11732255

#SPJ1

8. Paul draws a segment with the following points: (3,6) and (-4,8). He
performs a transformation and the image has points (9,18) and
(-12, 24) respectively. What type of transformation did Paul perform?

Answers

Paul performed an enlargement or dilation Transformation on the original segment to obtain the image segment.

To determine the type of transformation Paul performed, we can analyze how the coordinates of the points changed from the original segment to the image segment.

The original segment has two points: (3, 6) and (-4, 8). The image segment as two points: (9, 18) and (-12, 24).

Let's calculate the changes in the x-coordinates and y-coordinates separately:

For the x-coordinates:

- The x-coordinate of the first point changed from 3 to 9. This is an increase of 6.

- The x-coordinate of the second point changed from -4 to -12. This is also an increase of 8.

For the y-coordinates:

- The y-coordinate of the first point changed from 6 to 18. This is an increase of 12.

- The y-coordinate of the second point changed from 8 to 24. This is also an increase of 16.

From the changes observed, we can conclude that both the x-coordinates and y-coordinates increased by the same scale factor. This indicates a dilation or enlargement transformation.

Additionally, since the scale factor is greater than 1 (the coordinates increased), it suggests that the dilation was an enlargement.

Therefore, Paul performed an enlargement or dilation transformation on the original segment to obtain the image segment.

For more questions on Transformation .

https://brainly.com/question/29788009

#SPJ8

standard form of x^2 - 3 = 4x^2 + 6

Answers

Answer: x^4 - 2x^2 - 24

Which two points on the number line represent numbers that can be combined to make zero?
A
OB and D
A and B
C and D
OA and C
B
-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9
Mark this and return
CD
Save and Exit

Answers

The two points on the number line that represent numbers that can be combined to make zero are point A (-1) and point B (1).

To find two points on the number line that can be combined to make zero, we need to look for two numbers that have opposite signs.

Looking at the number line:

-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

We can see that the numbers -1 and 1 are located on opposite sides of zero. When combined, they add up to zero:

-1 + 1 = 0

Therefore, the two points on the number line that represent numbers that can be combined to make zero are point A (-1) and point B (1).

for such more question on line

https://brainly.com/question/27877215

#SPJ8

Help please I need help finding the slope that is perpendicular to the given line

Answers

So from the graph we can see the slope to be -1/6. Perpendicular is the opposite slope. So this means we will flip it causing it be 6.

If 20% of a number is 72 and 50% of the same number is 180, find 30% of that number.

Answers

Answer:

.20x = 72, so x = 360

.30(360) = 108

 Miguel deposited a certain amount of money in the bank. The bank paid him interest after one year at which point he had $757.12. After the next year he had $787.40. How much money did Miguel originally put into the bank? (Answer to the nearest dollar.)

Answers

Miguel originally put $728 into his bank account at a rate of 4% annually

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other.

Let r represent the interest rate. Between successive years, Miguel money increased from $757.12 to $787.40. Hence:

Interest rate = $787.40 / $757.12 = 1.04

The interest rate = 4% annually.

Let x represent the money Miguel had initially, hence:

x * 1.04 = $757.12

x = $728

Miguel originally put $728 into his bank account

Find out more on equation at: https://brainly.com/question/25638875

#SPJ1

Find the exact value of sin

Answers

Answer:

the exact value of a sin is god

how to solve for s in P=b+2s

Answers

To solve for s in P = b + 2s, we need to isolate s on one side of the equation.

We can do this by subtracting b from both sides of the equation:

P - b = 2s

Then, we can divide both sides by 2:

(P - b) / 2 = s

Therefore, s = (P - b) / 2.

A binomial experiment is conducted with n = 32, p = 0.34, and x = 10. Copmpute the probability of x successes in
the n independent trials.
Round your answer to four decimal places.
P(x = 10) is

Answers

The probability of having exactly 10 successes in 32 independent trials, with a success probability of 0.34, is approximately 0.0122 (rounded to four decimal places).

To compute the probability of having exactly x successes in a binomial experiment, we can use the binomial probability formula:

[tex]P(x) = C(n, x) \times p^x \times (1 - p)^{(n - x)[/tex]

where:

P(x) is the likelihood that x successes will occur.

n is the total number of trials

P is the likelihood that a trial will be successful.

C(n, x) is the binomial coefficient, which represents the number of ways to choose x successes out of n trials.

In this case, n = 32, p = 0.34, and x = 10. Let's calculate the probability:

P(10) = C(32, 10) * (0.34)^10 * (1 - 0.34)^(32 - 10)

The binomial coefficient C(32, 10) can be calculated as:

C(32, 10) = 32! / (10! * (32 - 10)!)

Now, let's compute the value:

C(32, 10) = 32! / (10! * 22!)

= (32 * 31 * 30 * 29 * 28 * 27 * 26 * 25 * 24 * 23) / (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

= 57,032,707,456 / 3,628,800

= 15,504

Now, substitute the values back into the binomial probability formula:

P(10) = 15,504 * (0.34)^10 * (1 - 0.34)^(32 - 10)

P(10) ≈ 0.0122

Therefore, the probability of having exactly 10 successes in 32 independent trials, with a success probability of 0.34, is approximately 0.0122 (rounded to four decimal places).

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Other Questions
Predict the major product from the treatment of 2,5-dibromopyridine with sodium ethoxide. Draw the full mechanism for the reaction, using appropriate arrows to indicate electron movement and the full structures of any intermediate Use Kepler's 3rd Law, T 2=( GM s4)a 3, to find the semi-major axes of orbit for an exoplanet that orbits around a distant star with a mass of M S=2.2210 31kg. The planet has an orbital period o T=400 Earth days. (a) Report the semi-major axis of the planet in (km) and in (AU). (b) If the doppler shift of the star indicates a velocity of v s=39 m/s, then by conservation of angular momentum we can use M p= 2aM sv sTto find the mass of the planet, M p. Report your answer in kg. if the u.s government establishes a set value of exchange for the dollar and the british pound, where does all buying and selling of pounds and dollars take place? multiple choice question. on the foreign exchange market on the u.s. stock market with the british government with the u.s. government arge automobile insurance company selected samples of single and married male policyholders and recorded the number who nade an insurance claim over the preceding three-year perlod. a. Use =0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We (to 2 decimals) (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. Using Q = m Lf, the heat of fusion for ice is 334 J/g and a 50-g sample will requirewhat amount of heat energy to melt it?a. 16700 J b 1670 J c. 6.68 J d. 0.15 J In the context of outsourcing, consider the case where domestic labour and foreign labour are substitutable to some extent. Suppose foreign wage falls. Which of the following is necessary for demand for domestic employment to decrease?O a. The subsitution effect on domestic employment is zero. O b. The scale effect on domestic employment is dominated by the substitution effect on domestic employment. Oc. The scale effect on domestic employment dominates the substitution effect on domestic employment. O d. Domestic employment will fall regardless of the relative sizes of the scale and substitution effects on domestic labour. Oe. The scale effect on domestic employment is zero. This is a strictly individual assignment. That means, you are not allowed to take a peek at any solutions, including online resources, and you are not allowed to share your answers with anyone, including your classmates. You are only allowed to use your lecture notes and the textbook. Failure to follow this rule will result in an F for the course grade, in the best case. Solve the following problem, and upload your .java file through Course Online. In this project we will be writing a new class to manipulate the digits of integers. This class will be named Digits. We will write the following static methods for the Digits class. 1. Write a method named digitZero that inputs an integer n and returns its least significant digit. For example, if the input is 5786, your method should return 6. 2. Write a method named digiti that inputs integers n and i. Your method should return the ith digit of n. For example, if the inputs are 89745 and 2, your method should return 7. Note that zeroth digit is 5, first digit is 4 and second digit is 7. 3. Write a method named digitSum that inputs an integer n and returns the sum of its digits. 4. Write a method named digitCount that inputs integers n and k. Your method should count the number of digits that are equal to k in n. For example, if the inputs are 4574172 and 7, your method should return 2. Note that 7 exists 2 times in 4574172. 5. Write a method named digitRemovek that inputs integers n and k. Your method should remove the kth digit in n. For example, if the inputs are 61748 and 3, your method should return 6748. Note that the third digit is removed from 61748. 6. Write a method named digitRemove that inputs integers n and k. Your method should remove all digits with value k in n. For example, if the inputs are 647544 and 4, it should return 675. Note that all occurrences of 4 in 647544 are removed. COMP1111 Fundamentals of Programming Spring 2022, Programming Project 3 IIK UNIVERSITY COMPUTER SCIENCE AND ENGINEERING Due: May 21 Saturday, 11:59 PM This is a strictly individual assignment. That means, you are not allowed to take a peek at any solutions, including online resources, and you are not allowed to share your answers with anyone, including your classmates. You are only allowed to use your lecture notes and the textbook. Failure to follow this rule will result in an F for the course grade, in the best case. Solve the following problem, and upload your .java file through Course Online. In this project we will be writing a new class to manipulate the digits of integers. This class will be named Digits. We will write the following static methods for the Digits class. 1. Write a method named digitZero that inputs an integer n and returns its least significant digit. For example, if the input is 5786, your method should retum 6. 2. Write a method named digiti that inputs integers n and i. Your method should return the ith digit of n. For example, if the inputs are 89745 and 2, your method should return 7. Note that zeroth digit is 5, first digit is 4 and second digit is 7. 3. Write a method named digitSum that inputs an integer n and returns the sum of its digits. 4. Write a method named digitCount that inputs integers n and k. Your method should count the number of digits that are equal to k in n. For example, if the inputs are 4574172 and 7, your method should return 2. Note that 7 exists 2 times in 4574172. 5. Write a method named digitRemovek that inputs integers n and k. Your method should remove the kth digit in n. For example, if the inputs are 61748 and 3, your method should return 6748. Note that the third digit is removed from 61748. 6. Write a method named digitRemove that inputs integers n and k. Your method should remove all digits with value k in n. For example, if the inputs are 647544 and 4, it should return 675. Note that all occurrences of 4 in 647544 are removed. 7. Write a method named randomNumber that inputs an integer k. Your method should produce a k digit integer with no numbers repeated. For example, if the input is 4, your method could produce 9276. Repetition of a digit such as 9296 is not allowed. 8. Write a method named reverse that inputs an integer n and reverses its digits. For example, if the input is 89745, your method should return 54798. 9. Write a method named isPalindrome that inputs an integer n and checks if it is a palindrome. A palindrome is such that it is read the same from left to right and from right to left. For example, 64146 is a palindrome whereas 5884 is not. Return true or false. 10. Write a main program to use your Digits library. This main program should display a menu as in the sample run and ask the user what to perform. using Notepad, create two (2) fies: data1.txt and data2.txt (save them to the same folder as your Java application)populate each fie with 10 to 20 integers (positive & negative integers and zero, separating each value with a space, or one-per-line(manually calculate the minimum, maximum, and average of the values in each file, so you can verify your application) Unknown elementXforms a binary compound with chlorine,Cl. The compound melts at900Cand conducts electricity in liquid phase. Estimate the electronegativity (EN) value of elementXon the AVEE scale. results of colonization of East Africa the choices provided indicate the relative fitness of the two participants of a biotic interaction, relative what they would have been had the interaction had not taken place. the following choices may be used more than once or not at all. a) / b) /0 c) /- d) -/- e) 0/- How long would it take for you to double your money from $9,000 to $18,000 if you will earn 12% interest? 6.0 years 5.5 years 6.5 years 5.0 years Use either limit definition of a derivative at a point to findf(1)for the functionf(x)=3x QUESTION ONE [20] ZingZang Limited has operated the "Magical Moments" theatre company for the last 30 years, during which time the" Magical Moments" brand grew to be quite valuable. The theatre company offered the first of its kind, "sit down, dine, relax and enjoy the great entertainment". This concept of dining together with the great entertainment is what contributed to the success of this brand. Details regarding this brand are as follows: The "Magical Moments" theatre has been in operation for over 60 years, and it was these previous owners who began building the successful brand name. During this time, it was known as the place to be with excellent food being served and a premiere theatre, presenting daily shows involving top artists. It was a one-of-a-kind experience. o The previous owners retired 30 years ago at which point ZingZang Limited bought the brand name for R1 500 000. o ZingZang Limited immediately capitalised the cost of acquiring the brand. O The brand was not amortised since the place had been so popular for so long that there was no reason to believe that this would ever change and thus management argued that the brand should remain on their statement of financial position indefinitely. However, about five years ago, there was a dreadful incident where a fire broke out in the kitchen, which is behind the theatre, almost entirely gutting the theatre. Due to limited fire escape routes, there were sadly two casualties. Insurance covered the entire recovery process, but, from that moment on, theatre attendance plummeted, together with profits and, whilst ZingZang Limited was not yet in financial difficulties, these profits have never fully recovered. After much debate, management eventually decided to ditch the old brand name and rebrand the theatre as 'Rejuvenation' in the hopes of resurrecting the old 'glory days'. The theatre was closed on 31 March 2021 for the rebranding to take place and it re- opened on 1 August 2021, with a lavish event to celebrate the new name 'Rejuvenation'. In the current year ended 31 December 2021, the old brand name was written off and all cost of rebranding, including the lavish event, was capitalised as the new brand name. Public surveys over the rebranding were performed, and the results suggested there had been a significant surge of interest in the rebranded theatre. The rebranding was thus considered to be a success and the new brand would be extremely valuable going forward. Required: Critically analyse the above issue explaining whether the treatment is correct or incorrect and Justifying your advice with reference to International Financial Reporting Standards. The distance from the point Q(2,0,1) to the line through the points A(1,2,2) and B(3,0,2). Q(2,0,1) noktasindan A(1,2,2) ve B(3,0,2) A. - 43B. - 53C. - 32D. - 23E. - 52 Match the following aqueous solutions with the appropriate letter from the column on the right. 1. 0.14mCu(NO 3) 2A. Lowest freezing point 2. 0.15 mNi(NO 3) 2B. Second lowest freezing point 3. 0.19 mAgNO 3C. Third lowest freezing point 4.0.35 m Ethylene glycol(nonelectrolyte) D. Highest freezing point What are they recommended marketing strategy for the SADC county of Mauritius based on these guidelinesTarget markets and positioning statements should be clearly identified. Often it is useful to clearlydefine a positioning strategy in a single sentence which summarizes in a general way what thebusiness seeks to achieve and how it will do it.Strategy must be a paragraph. How did the Civil War affect the economy of the North?A. The Northern economy grew as factories produced large amountsof goods for the war.B. The Northern economy shrank as foreign countries refused totrade with the Union.C. The Northern economy stayed the same as no new jobs werecreated during the war.D. The Northern economy shrank as the Union was unable to tradewith the Confederacy. A) Find F(X), Where (I) F(X)=Xx2cos(S3)Ds; (Ii) F(X)=E3x(0xtsin(T2)Dt) [6 Marks ] B) Consider The Region Bounded By The Graph Of Y=X2, The Horizontal Line Y=4, And The Y-Axis In The First Quadrant. Express The Definite Integral Representing The Volume Of The Solid Obtained By Rotating The Bounded Region (I) About The Y-Axis Using The Shell Method; (Ii) Complete the task in python script:The goal here is to complete two functions: can_escape and escape_route, both of which take a single parameter, which will be a maze, the format of which is indicated below. To help this, we have a simple class Position already implemented. You can add things to Position if you like, but there's not a lot of point to it.There is also a main section, in which you can perform your own tests.Maze FormatAs mentioned, the maze format is even simpler here. It is just a list containing lists of Positions. Each position contains a variable (publically accessible) that indicates whether this is a path in each of the four directions (again "north" is up and (0,0) is in the top left, although there is no visual element here), and also contains a public variable that indicates whether the Position is an exit or not.Mazes will obey the following rules:(0, 0) will never be an exit.If you can go in a direction from one location, then you can go back from where that went (e.g. if you can go "east" from here, you can got "west" from the location that's to the east of here.)When testing escape_route, there will always be at least one valid path to each exit, and there will be at least one exit (tests for can_escape may include mazes that have no way to exit).can_escapeThe function can_escape takes a single parameter in format describe above representing the maze, and returns True if there is some path from (0,0) (i.e. maze[0][0]) to any exit, and False otherwise. (0,0) will never be an exit.escape_routeThe function escape_route also takes a single parameter representing a maze, in the format as described, and returns a sequence of directions ("north", "east", "south", "west") giving a route from (0,0) to some exit. It does not have to be the best route and can double back, but it does have to be a correct sequence that can be successfully followed step by step.You do not have to worry about mazes with no escape.Advice and AnswersKeeping track of where you have been is really handy. The list method pop is also really handy.can_escape can be solved with less finesse than escape_route - you don't have to worry about dead ends etc, whereas escape_route needs to return a proper route - no teleporting.Script given under "pathfinder.py":class Position:def __init__(self, north = False, east = False, south = False, west = False, exit = False):self.north = northself.east = eastself.south = southself.west = westself.exit = exitdef can_escape(maze):return Falsedef escape_route(maze):return []if __name__ == "__main__":pass