Can someone help me with this

Can Someone Help Me With This

Answers

Answer 1

Answer: 4(9a-4) and x = 18

Step-by-step explanation:

36a - 16 a common factor in this is 4 so if we factor out 4 we would get

4(9a-4)

1/2x - 7 = 1/3(x-12) we would distribute out the 1/3 so 1/3x and 1/3 x - 12 which would simply into 4

1/2x - 7 = 1/3x - 4 get the x's into one side so subtract 1/3x and add 7 on both sides

1/2x - 1/3x = 3 --- multiply 1/2x with 3/3 and 1/3x with 2/2

3/6x - 2/6x = 3

1/6x = 3 --- isolate x by multiplying 6 on both sides

x = 18


Related Questions

Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

The indicated IQ​ score, x, is enter your response here. ​(Round to one decimal place as​ needed.)

Answers

The indicated IQ score is given as 117.

How to solve for the IQ score

The area under the curve is given as 0.1431

the area to the left of x = 1 - 0.1431

= 0.8569

for 0.8569 the z stat is 1.07

u = 100

sd = 15

x = u + z * sd

= 100 + 0.8569 * 15

= 116.05

approximately 117

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Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

xx

0.1431

A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.1431.

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how do you do it please help

Answers

Answer:

5.1

Step-by-step explanation:

11.5 + 5.6 + 8.8 = 29.5

31 - 29.5 = 5.1

when running Chao has a stride length of 70cm,correct to the nearet 5cm.
Chao runs a distance of 11.2 km, correct to the nearest 0.1km

work out the minumum number of stride that Chao could take to complete this distance

Answers

The minimum number of strides that Chao could take to complete a distance of 11.2 km is approximately 16,000.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To calculate the minimum number of strides that Chao could take to complete a distance of 11.2 km, we need to first convert the distance to meters since the stride length is given in centimeters.

11.2 km = 11,200 meters (1 km = 1000 meters)

Stride length in meters = 70 cm / 100 cm/m = 0.7 m

Now, we can calculate the minimum number of strides as follows,

Minimum number of strides = (Distance covered in meters) / (Stride length in meters)

Minimum number of strides = 11,200 m / 0.7 m ≈ 16,000

Therefore, the minimum number of strides that Chao could take to complete a distance of 11.2 km is approximately 16,000.

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1) Write the equation of the line passing through point P with slope m, if
a) P(1,4) and m = 3

c) P (3,0) and m = −1

b) P(-1,-2) and m = 4

d) P(0,0) and m = -5

Answers

Answer:

a) y - 4 =3(x - 1)

b)  y + 2 = 4(x+ 1)

c) y = -(x - 3)

d) y = -5x

Step-by-step explanation:

You did not say which form, so I put them in the point-slope form of a line that follows the pattern:

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])

Answer:

see explanation

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 )

(a)

given m = 3 , then

y = 3x + c ← is the partial equation

to find c substitute (1, 4 ) into the partial equation

4 = 3(1) + c = 3 + c ( subtract 3 from both sides )

1 = c

y = 3x + 1 ← equation of line

(b)

given m = 4 , then

y = 4x + c ← is the partial equation

to find c substitute (- 1, - 2 ) into the partial equation

- 2 = 4(- 1) + c = - 4 + c ( add 4 to both sides )

2 = c

y = 4x + 2 ← equation of line

(c)

given m = - 1 , then

y = - x + c ← is the partial equation

to find c substitute (3, 0 ) into the partial equation

0 = - 3 + c ( add 3 to both sides )

3 = c

y = - x + 3 ← equation of line

(d)

given m = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (0, 0 ) into the partial equation

0 = - 5(0) + c = 0 + c ⇒ c = 0

y = - 5x ← equation of line

200$ marked down 20% now increased by 20% is it equal to 200 again?

Answers

Answer: nope

Step-by-step explanation:

No, the 200$ marked down 20% would be 200 - 0.2 * 200 = 160$. Then, if it is increased by 20%, it would be 160 + 0.2 * 160 = 192$. So, 200$ is not equal to 192$.

5. A Set of Speakers costs $35 and Songs cost $195 each. The sales tax
rate is 8.25%. The expression 0.0825(35+ 195s) can be used to determine
the amount of sales tax due on the entire purchase of a set of Speakers
and S.Songs. Expand the expression and round to the nearest hundredth.

Answers

The amount of sales tax due on the entire purchase of a set of speakers and s songs is $2.89 plus $16.09 for each song purchased, rounded to the nearest hundredth.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and/or operators that represents a mathematical quantity or relationship. It can be a single number or variable, or a combination of multiple numbers, variables, and operators.

The given expression 0.0825(35+195s) represents the amount of sales tax due on the entire purchase of a set of speakers and s songs, where s is the number of songs purchased.

Expanding the expression, we get:

0.0825(35+195s) = 0.0825(35) + 0.0825(195s)

= 2.8875 + 16.0875s

Rounding this expression to the nearest hundredth, we get:

2.89 + 16.09s

Therefore, the amount of sales tax due on the entire purchase of a set of speakers and s songs is $2.89 plus $16.09 for each song purchased, rounded to the nearest hundredth.

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I NEED HELP PLEASEEEE!!!!

Answers

Answer:

Step-by-step explanation:

the answer is 420 cuase the manufatcure of math is hard i wont give an explanation.

Helppppppppppp meeeeee guyssssssss

Answers

Answer:

2. $9.99

3. 45 tickets for $27

4. 20 cents

Step-by-step explanation:

2. 79.92/8 = 9.99

3. 27/45 0.6 and 15/20 = 0.75 and 60 cents is less than 75 cents

4. 6/30 = 20

Answer:

Step-by-step explanation:

79.92/8= 9.12 per cd

15/20= .75

27/45=.6 better deal because it is .60 cents per ticket

6/30= .20 per can

Mark is buying 4 computers for his business. The table shows the prices and the advertised sales for the same type of computer at 4 computer stores. Based on the advertised sales, at which store will mark get the lowest price on 4 computers?

Answers

At a total price of $2720 for 4 Computers, retailer 2 delivers the best deal based on the listed specials.

Based on the stated sales, we need to figure out the entire cost of 4 computers at each retailer, accounting for any discounts or promotions, in order to determine which store will provide the lowest pricing for 4 Computers.

Let's use the following variables to symbolize the costs and special offers at each retailer:

P1: the price of a single computer in a store 1

P2: the price of a single computer in a store 2

P3: the price of a single computer in a store 3

P4: the price of a single computer in a store 4

D1: discount on one computer at store 1

D2: discount on one computer at store 2

D3: discount on one computer at store 3

D4: discount on one computer at store 4

Then, we may figure the total cost of four computers at each store using the following formulas:

Total cost at store 1 = 4(P1 - D1)

Total cost at store 2 = 4(P2 - D2)

Total cost at store 3 = 4(P3 - D3)

Total cost at store 4 = 4(P4 - D4)

The total cost at each store can then be calculated by plugging in the values from the table as follows:

Store 1: Total cost = 4(950 - 0.2*950) = 3040

Store 2: Total cost = 4(800 - 0.15*800) = 2720

Store 3: Total cost = 4(1100 - 0.25*1100) = 3300

Store 4: Total cost = 4(850 - 0.1*850) = 3060

Therefore, At a total price of $2720 for 4 Computers, retailer 2 delivers the best deal based on the listed specials.

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70% of ____ is 14.
O 10
O 20
O 30
O 50

Answers

Answer:

20

Step-by-step explanation:

snajakskdmcjwiwjcjf

Answer:

20

Step-by-step explanation:

70% is 70/100 = 0.70

20 x 0.70 = 14

the expression n^2 - n - 30 can be written in Factored Form as (n + 5) (n + k), where k represents a number

Answers

Answer:

k = -6

Step-by-step explanation:

Expand by substituting -6:

(n+5) (n-6) = n^2 + 5n - 6n (-6×5)

Thus, (n+5)(n-6) = n^2 -1n -30

(In a facotrised form for quadratics, the numbers need to add to 'bx', in this case -1, and multiply to form 'c' (-30). So -6×5 = -30 and k= -6)

what ratios are equivalent to 6 : 3?

Answers

Answer: 12: 6 and 24: 12 and 3: 1.5

Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6  

Answer:

2 : 1,

12/

Step-by-step explanation:

all you have to do is cross out the numbers, basically simplify the

the answer is 2:1 because in 3's multiplication table,

3×2=

and

3×1=

similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/

La fábrica tiene 300 obreros de los cuales 2/3 son hombres. 3/3 trabajadores por la mañana, 1/2 son sindicalizado y 1/6 son personal de confiancia. ¿Cuántos hombres trabajan en la fábrica?_________ ¿Y cuántas mujeres?_______ ¿Cuántos hobreros trabajan por la mañana?__________ ¿Cuántos son sindicalizados?______________ ¿Cuántos son de confianza? AYUDA ES PARA MAÑANA SINO MIS PADRES ME MATAS AYUDA ​

Answers

From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

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mr hall is doggie-paddling in the school pool at a speed of 1 m/sec when he spots his favorite rubber ducky. He increases his speed to 3m/sec over a period of 3 seconds. What is Mr. Halls acceleration?

Answers

Answer:

1m/sec

Step-by-step explanation:

Mr. Hall spent 3 seconds to increase his speed to 3m/sec increasing 1m/sec, don't over think it.

Sara can read 19 pages an hour. How many pages can Sara read in 95 min? Round to the nearest whole number.

Answers

Sara can read about 30 pages in 95 minutes.

What does per hour mean?

To start, multiply the weekly hours by the number of weeks in a year to get the overall number of hours worked (52). Then subtract this amount from the annual pay. For instance, if a worker earns $50,000 annually and puts in 40 hours per week, their hourly rate would be $50,000/2,080 (40 x 52) = $24.04.

Accordion to question:

First, we need to convert 95 minutes to hours by dividing by 60:

95 min ÷ 60 min/hour = 1.5833 hours (rounded to 4 decimal places)

Next, we can use the conversion factor to find the number of pages Sara can read in 1.5833 hours:

19 pages/hour x 1.5833 hours = 30.1391 pages

Rounding to the nearest whole number, Sara can read about 30 pages in 95 minutes.

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the foreign language club is showing a four-movie marathon of subtitled movies. how many ways can they choose from the available?

Answers

The number of ways the foreign language club can choose 4 movies from the available is [tex]nC4 = n! / 4!(n-4)![/tex].

To calculate the number of ways the foreign language club can choose four movies from the available subtitled movies, we need to use the combination formula, which is:

[tex]nCr = n! / r!(n-r)![/tex]

Where n is the total number of available subtitled movies and r is the number of movies to choose (in this case, r=4).

Assuming there are at least four subtitled movies available, the number of ways to choose four movies would be:

[tex]nC4 = n! / 4!(n-4)![/tex]

Simplifying the equation further, we have:

[tex]nC4 = (n * (n-1) * (n-2) * (n-3)) / 4 * 3 * 2 *1[/tex]

Therefore, the number of ways the foreign language club can choose four movies from the available subtitled movies is given by the formula nC4.

The formula calculates the number of possible combinations of four movies that can be selected from the total number of available subtitled movies, without regard to the order in which they are shown.

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Please help, I’ll give brainliest

Answers

Answer: Distributive property and Commutative property (of multiplication)

Step-by-step explanation:

From 1 to 2, the parentheses coefficient is multiplied out to the parentheses. This is called distribution.

From 2 to 3, the numbers in each multiplication are rearranged. This would be the commutative property of multiplication.

HOPE THIS HELPS _- MM

calculate the area of a rectangle in cm2 with a width of 7.6 cm and height of 3.3 cm. be sure to include the proper number of significant figures.

Answers

The width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm²

To calculate the area of a rectangle, we need to multiply its width by its height.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover the surface in a single coat.

Area = width x height

Substituting the given values, we get:

Area = 7.6 cm x 3.3 cm

Area = 25.08 cm²

Since the width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm² (rounded to one decimal place).

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question 2
help me plsssss

Answers

Answer:

∠ CAB = 144°

Step-by-step explanation:

the central angle CAB is twice the measure of ∠ BDC , that is

∠ CAB = 2 × 72° = 144°

PLEASE HELP ME WITH THESE!!!!!!!!!!!!!!!!!!!!
If I have an answer please ignore my current answer and just solve for the correct answer. Thanksssss!

Answers

The volume of the rectangular prism will be 1008 cubic inches and the volume of the pyramid is 504 cubic inches.

What is volume?

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.

The volume of the pyramid is the product of half of the area of the base and the height of the pyramid,

The volume of prism = 14 x 12 x 6

The volume of the prism = 1008 cubic inches

The volume of the pyramid,

Volume = 1/2 x Base area x H

Volume = 1/2 x 72 x 14

Volume = 504 cubic inches.


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how do i do these types of problems?

Answers

Answer:

1/24.

Step-by-step explanation:

There are 2 events here and they are independent, so the single probabilities are multiplied.

P(4 when die is rolled) = 1/6

P(A on the spinner) = 1/4

So, P(4 and A)

= 1/6 * 1/4

= 1/24.

1. what is the last name of whom we honor for discovering ways to express and minimize logic though a new but similar form of algebra? 2. what does the k in k-map stand for? 3,4,5,

Answers

Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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if m+1 is an even integer, which one of the flollowing must be add integer?

Answers

If m + 1 is an even integer, then 2m + 1 is an odd integer.

What do you understand by even and odd numbers?

Even number: An even number is a number that is a multiple of 2. It can be said that any number that is completely divisible by 2 is an even number.

Odd number: Odd numbers are those numbers that are not completely divisible by 2.

let us understand by addition on different combinations of odd numbers and even numbers.

Odd number + Odd number = Even number

Even number + Even number = Even number

Even number + Odd number = Odd number

Odd number + Even number = Odd number

In subtraction

Even number - Even number = Even number

Even number - Odd number = Odd number

Odd number - Even number = Odd number

Odd number - Odd number = Even number

In multiplication

Even number × Even number = Even number

Even number × Odd number = Even number

Odd number × Odd number = Odd number

Given:

m + 1 is an even integer.

since alternate numbers are even.

Therefore, m must be an odd number.

If m is odd, then m - 1 is even.

2m is divisible by 2, so it is always an even number.

So,

2m - 2 is even.

2m + 1 is odd.

2m + 2 is even.

Since 2m + 1 is an odd number.

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Which situation most accurately matches the graph?

Answers

A

im going to guess that the top of the graph has a flat line.

its easy to visualize since the graph looks like a hill, and the story describes the graph the most accurately

If a²=b+c,b² = c+a and c² = a +b, prove that: (1/a+1)+(1/b+1)+(1/c+1)=1​

Answers

The proof is as shown below

How to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1​?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If a² = b + c , b² = c + a and c² = a + b

We want to prove that 1/(a+1) + 1/(b+1) + 1/(c+1) = 1

Since a² = b + c

a²+a = a + b + c

a (a+1) = a + b + c

a+1 = (a + b + c)/a

Repeat the same process for b² = c + a and c² = a +b, we have:

1 + b= (a + b + c)/b

1 + c =(a + b + c)/c

Substitute the values 1+a, 1+b and 1+c into 1/(a+1) + 1/(b+1) + 1/(c+1):

1/(a+1) + 1/(b+1) + 1/(c+1) = a/(a+b+c) + b/(a+b+c) + c/(a+b+c)     (Taking LCM)

                                      = (a+b+c )/ (a+b+c ) = 1

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The price of a Loungy Chair was $400. The price of this chair has just gone up by 20%. Make a percent table to find the new price of the Loungy Chair

Answers

The percent table is:

                           100 %   ⇒   $400

                           120 %   ⇒   $480

The initial price of the Loungy chair was $400.

So, the initial price(P₀) = $400

The price of the chair has gone up by 20%

So, increase in price(r) = 20%

The final price will be calculated by using the formula:

                          P = P₀(1 + r/100) (where P is the final price)

                          P = 400(1 + 20/100)

                          P = 400(1 + 0.2)

                          P = 400 × 1.2

                          P = $480

Hence, the final price of the Loungy chair is $480

Percent table:

                           100 %   ⇒   $400

                           120 %   ⇒   $480

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Write the number for three million twenty thousand

Answers

Answer: 3,020,000

Step-by-step explanation:

three million twenty thousand

Answer: 3,020,000

Step-by-step explanation: 3,000,000 + 20,000 = 3020000

An observer in watertown, new york, would see the star polaris at an altitude of approximately. ?


44°

45°

75°

76°

Answers

Answer:

44

Step-by-step explanation:

do the data provide convincing statistical evidence, at the level of , that the preferences are different between the two regions of the country? complete the appropriate inference procedure to support your answer.

Answers

The corresponding p-value for this test statistic is 0.005, which is smaller than our significance level of α=0.05.

To begin, we define the population proportion of people who shop for groceries online in region A as p₁ and the population proportion of people who shop for groceries online in region B as p₂.

Our null hypothesis is that there is no difference in these proportions, which we can write as H0=> p₁ = p₂. Our alternative hypothesis is that there is a difference, which we can write as H1=> p₁ ≠ p₂.

Next, we need to calculate the sample proportions and standard errors for each region. We can do this using the formulas:

p₁ = x₁/n₁, p₂ = x₂/n₂

where x₁ and x₂ are the number of people in each sample who shop for groceries online, and n₁ and n₂ are the sample sizes. The standard errors are given by:

=> SE₁ = √(p₁(1-p₁)/n₁),

=> SE₂ = √(p₂(1-p₂)/n₂)

Using the given data, we find that p₁ = 0.16, p₂ = 0.24, SE₁ = 0.037 and SE₂ = 0.042.

We can now calculate the test statistic, which measures the difference between the sample proportions under the assumption that the null hypothesis is true. We use the formula:

z = (p₁ - p₂) / √(SE₁² + SE₂²)

Substituting the values we calculated, we get:

z = (0.16 - 0.24) / √(0.037² + 0.042²) = -2.83

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Complete Question:

A random sample of 100 people from region A and a random sample of 100 people from region B were surveyed about their grocery-shopping habits. From the region A sample, 16 percent of the people indicated that they shop for groceries online. From the region B sample, 24 percent of the people indicated that they shop for groceries online. At the significance level of α=0.05, do the data provide convincing statistical evidence that there is a difference between the two regions for the population proportions of people who shop online for groceries? Complete the appropriate inference procedure to support your answer.

Select the correct answer.
Which graph is the graph of f(x) = 3 log2 (x +1)?

Answers

The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation of function is,

⇒ f (x) = 3 log₂ (x + 1)

Now, By using tool we can draw the graph of the equation of function

f (x) = 3 log₂ (x + 1) as shown in figure.

Thus, The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

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How personal values contribute to your success Companies create a marketing strategy _____.to identify the customers most likely to buy the productto decide what information to share and how to share itto find out how to make and keep customers happyto help determine price points the market can bear To prevent time-temperature abuse when transporting food, which practice should be followed?A. Stack all hot potentially hazardous (TCS) food items together in a sturdy cardboard box.B. Load the delivery truck with potentially hazardous (TCS) cold items first and hot items last.C. Transport cold potentially hazardous (TCS) food in an ice chest that maintains a temperature of 45 F.D. Transport potentially hazardous (TCS) hot food in an insulated food container at 135 F or higher The equations represent the elevations, y, of two hikers, in meters, after x hour. Wich ordered pair, (0, 0), (1, 7) or (2, 10), is a solution to the system? will the hikers ever be the same elevation? explain. Y = 6x + 1 y = 3x + 4 Calculate the atomic mass of element "X", if it has 2 naturally occurring isotopes with the following masses and natural abundances: X-45 44. 8776 amu 32. 88% X-47 46. 9443 amu 67. 12% The function machine at right follows the equation h(x) = 5x + 2.a. If the crank is turned backwards, what number should be pulled up into the machine in order to have a 4 come out of the top?b. Keiko wants to build a new machine that will undo what h(x) does to an input. What must Keiko's machine do to 17 to undo itand return a value of 3?c. An "undo" function is called an inverse and has the notation h(a). Note that the -1 is not a negative exponent. It is themathematical symbol that indicates the inverse function of h(x). Write an equation for h (x), the "undo" function machine.d. Choose a value for z. Then find a strategy to show that your equation, h(x), undoes the effects of the function machine h(x). Yo Blank la luz. (apagar)T Blank la luz. (prender)Ellos Blank el bao. (limpiar)Usted Blank los muebles. (sacudir)Nosotros Blank la basura. (sacar) Eleanor and ParkWhat do you think your favorite scene so far has been?Who was involved?Where did it take place?Whats striking and important about it? Explain the term productivity as a unique property of human language. what is the direction of synthesis of the new strand? facts and examples that support a claim are called ?(1 point) responses evidence. evidence. reasons. reasons. an evaluation. an evaluation. an argument. This is a number sequence2,3,5,9,17,33,65what are the next two terms? Relative to a fixed origin O, the point A has position vector (2i + 3j - 4k), the point B has position vector (4i - 2j + 3k), and the point C has position vector (ai + 5j 2k), where a is a constant and a < 0. D is the point such that AB = BD. (a) Find the position vector of D. Given AC| = 4, (b) find the value of a. Question 3 of 10Which sentence uses a comparative or superlative adjective incorrectly? A. Wang Lei was the most kindest student in the class.O B. Paulo's essay is shorter than Malia's essay.C. I got a worse grade on my homework than Ellie did.D. Ramona's egg rolls are the best I've ever tasted.SUBMIT ratio of heights of 2 triangles is 3:4, area 4:3, ratio of their base? Which parts of the exposure triangle should the photographer manipulate so that all objects are in focus without any noise? PLEASE HURRY EBDAC = 14 cmEC = 84 cmED = 21 cmCGiven the following segment lengths,find the length of segment AB. Explain the climate of prairies. Explain the climate of steppes determine the vertical rise h of the load w during 10 seconds if the hoisting drum draws in cable at the constant rate of 180 mm/s. Which is a typical warning sign of depression