Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]x^2+12x+44=(x^2+12x+36)+8=(x+6)^2+8[/tex]
Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left.
The inequality that can be used to find the number of cars, x, Mr. Schwartz builds before he places an order for more wheels is
Answer:
solution: Mr. Schwartz will need to order more wheels after building 12 cars.
explanation:
Mr. Schwartz begins with total number of wheels = 85
he has to order more wheels once he left with less than 40 wheels
so min. no. of wheels he can use before ordering more wheels = 85-40 = 45
Mr. Schwartz uses 4 wheels to build 1 car
Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars
then, if he builds 12 cars then he needs 12×4 = 48 wheels
total supply of wheels he begins with = 85
wheels he used to build 12 cars = 48
so total number of wheels remaining are = 85-48 = 37
since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.
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Jordan is a wildlife photographer. Today they are taking a picture of a Mountain
Goat. The Mountain Goat is 5,000 feet up a mountain and Jordan is 200 feet from
the base of the mountain. What angle of elevation does the camera need to be at for
the picture? Round to the nearest tenth.
A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. The bottom 1. 5% of students must go to summer school. What is the minimum score you would need to stay out of this group?
A minimum score of 182 is required to stay out of the bottom 1.5% of students and avoid going to summer school.
To find the minimum score required to avoid going to summer school, we need to determine the score that separates the bottom 1.5% of students from the rest of the distribution. This score is also known as the cutoff or the critical value.
We know that the test scores have a normal distribution with a mean of 400 and a standard deviation of 100. To find the critical value, we can use the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can standardize the test scores using the z-score formula:
z = (x - mu) / sigma
where x is the test score, mu is the mean, and sigma is the standard deviation.
Substituting the given values, we get:
z = (x - 400) / 100
To find the z-score corresponding to the bottom 1.5% of the distribution, we can use a standard normal table or a calculator. The area to the left of this z-score is 0.015, which corresponds to a z-score of approximately -2.17.
Now we can solve for x, the minimum score required to stay out of the bottom 1.5%:
-2.17 = (x - 400) / 100
x = -2.17 * 100 + 400
x ≈ 182
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sophia paid $3,360,00 in taxes in 2010. her taxes rose to $4,848,60 in 2011 what was the percentage increase in her taxes from 2010 to 2011
The percentage increase in her taxes from 2010 to 2011 is 44.30%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Sophia paid $3,360,00 in taxes in 2010 and her taxes rose to $4,848,60 in 2011.
So, The amount of tax increase is $(484860 - 336000) = $148860.
Therefore, The percentage increase is,
= (148860/336000)×100%.
= 44.30%.
The net amount change will now be divided by the starting total, and the result will be multiplied by 100% to determine the percentage change.
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what is the probability of getting a number less than 2 or a prime number upon rolling a six-sided die? a.) 1 half b.) 2 over 3 c.) 1 third d.) 5 over 6
Answer:
b) 2/3
Step-by-step explanation:
For a 6-sided die
total number of numbers: 6
numbers less than 2: 1
prime numbers: 2, 3, 5
total number of desired outcomes: 1 + 3 = 4
p(less than 2 or prime) = 4/6 = 2/3
which of the following statements is true? multiple select question. two data sets could have different means but the same standard deviation. if two data sets have the same mean they must have the same standard deviation. two data sets could have the same mean but different standard deviations. if two data sets have different means they must have different standard deviations.
The correct statements are Two data sets could have different means but the same standard deviation, and could have the same mean but different standard deviations. If two data sets have different means they must have different standard deviations. Correct options are A, C , D.
The mean and standard deviation are both measures of the central tendency of a data set, but they capture different aspects of the distribution. The mean represents the average value of the data, while the standard deviation measures how spread out the data is around the mean.
It is possible for two data sets to have different means but the same standard deviation if one data set is more spread out than the other, but the values are symmetrically distributed around the mean. For example, the data sets {1, 2, 3, 7, 8, 9} and {0, 4, 5, 5, 5, 9} have different means (5 and 4.67, respectively) but the same standard deviation (3.16).
Similarly, two data sets could have the same mean but different standard deviations if one data set is more spread out than the other. For example, the data sets {1, 2, 3, 4, 5} and {1, 3, 3, 3, 5} have the same mean (3) but different standard deviations (1.41 and 1.26, respectively).
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Complete question is:
Which of the following statements is true?
multiple select question.
A. two data sets could have different means but the same standard deviation.
B. if two data sets have the same mean they must have the same standard deviation.
C. two data sets could have the same mean but different standard deviations.
D. if two data sets have different means they must have different standard deviations.
Please Help, Find the sum of each infinite geo sequence
-50, -25, -12.5, ...
Gina's goal is to raise $160 for the school through her ticket sales. if she is selling the tickets for $3 each, what is the minimum number of tickets Gina needs to sell in order to earn $160?
Answer: All she needs to sell is 53 tickets
Step-by-step explanation: You divide 160 by 3 which gives you 53.3333 so you take the decimal place and get rid of it and it gives you 53. So she needs to sell at least 53 tickets to reach her goal
What percentage of the marbles in the jar are white?
O 20%
O 40%
O 60%
O 80%
The percentage of white marbles on the jar is obtained dividing the number of white marbles by the total number of marbles.
How to calculate a percentage?A percentage is calculated applying a proportion, dividing the number of total outcomes by the number of desired outcomes, and then multiplying by 100%.
The outcomes for this problem are given as follows:
Desired: number of white marbles.Total: total number of marbles.Missing InformationThe problem is incomplete, hence the standard procedure to obtain the percentage of white marbles was presented.
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Lillian makes 480 sandwiches 25% of them are tuna sandwiches 45% of them are ham sandwiches and the rest are egg sandwiches how many egg sandwiches does Lillian make?
Answer:
144 egg sandwiches
Step-by-step explanation:
[tex]25\% + 45\% = 70\%[/tex], and [tex]100\% - 70\% = 30\%.[/tex] Thus, [tex]30\%[/tex] of the [tex]480[/tex] sandwiches are egg sandwiches. Since "of" means multiply, we have [tex]30\% \cdot 480.[/tex] We know [tex]30\% = \frac{30}{100} = \frac{3}{10},[/tex] so we can rewrite it as [tex]\frac{3}{10} \cdot 480.[/tex] We cancel [tex]480[/tex] with [tex]10[/tex] which is [tex]480 \div 10 = 48.[/tex] We multiply [tex]48[/tex] by the numerator, [tex]3,[/tex] to get [tex]48 \cdot 3 = 144.[/tex] Thus, Lillian makes [tex]\boxed{144 \text{ egg sandwiches.}}[/tex]
The altitude of an airplane coming in for a landing is represented by the equation shown below, where y represents the altitude, in feet, of the plane and x represents the number of minutes the plane has been decending: y = -128x + 3,840
Part A: Create a table for the values when x + 0, 5, 8, 10, 30. Include worked-out equations used to identify the values within the table.
Part B: Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.
What is the altitude?
The height of an object or point in relation to sea level or ground level.
Part A:
To create a table for the given equation, we substitute the given values of x in the equation and calculate the corresponding values of y:
x y = -128x + 3,840
0 3,840
5 3,200
8 2,624
10 2,304
30 0
Part B:
To find the altitude after 5 minutes, we substitute x = 5 in the given equation:
y = -128(5) + 3,840
y = 3,200
So the altitude of the airplane after 5 minutes of descending is 3,200 feet.
To find the altitude after 30 minutes, we substitute x = 30 in the given equation:
y = -128(30) + 3,840
y = 0
The altitude of the airplane is decreasing as time (x) increases, as given by the negative slope (-128) of the equation.
At 5 minutes, the airplane has descended to an altitude of 3,200 feet, which is still relatively high.
At 30 minutes, the altitude has decreased to 0, which means the airplane has landed on the ground.
Hence, the altitude of the airplane after 30 minutes of descending is 0 feet, which means the airplane has landed.
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Two factory plants are making TV panels. Yesterday, Plant A produced 4000 fewer panels than Plant B did. Four percent of the panels from Plant A and 2% of
the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 500 defective panels?
14
The number of panels that Plant B produced is; 11000 panels
How to solve algebra word problems?We are told that Plant A produced 4000 fewer panels than Plant B did.
Thus;
A = B - 4000 -----(1)
Four percent of the panels from Plant A and 2% of the panels from Plant B were defective. Thus;
0.04A + 0.02B = 500 ------(2)
Put eq 1 in eq 2 to get;
0.04(B - 4000) + 0.02B = 500
0.04B - 160 + 0.02B = 500
0.06B = 660
B = 660/0.06
B = 11000 panels
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Which ratio is equivalent to 5:9
Please give a step to step explanation
Answer:
sin(35)
Step-by-step explanation:
Because of the co-function identity [tex]\cos(\theta)=\sin(90^\circ-\theta)[/tex], then [tex]\cos(55^\circ)=\sin(90^\circ-55^\circ)=\sin(35^\circ)[/tex].
Alicia's doctor allowed her to eat junk food every fifth day. If Alicia had junk food on Monday and Saturday, what are the next two days that she will be allowed to have junk food?
The next two days when Alicia would be allowed to eat junk foods are Thursday and Tuesday.
When would Alicia eat junk food?The first day after Saturday when Alicia would have junk food can be determined by counting the fifth day after Saturday.
Sunday - first day
Monday - second day
Tuesday - third day
Wednesday - fourth day
Thursday - fifth day
The next day after Thursday when Alicia would have junk food is the fifth day after Thursday.
Friday - first day
Saturday - second day
Sunday - third day
Monday - fourth day
Tuesday - fifth day
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The sum of the digits in a two-digit number is 14. If you reverse and double the original number, the sum is 222. Find the original number.
The original two-digit number is 11 * 10 + 3 = 113.
How to find the original two digit number?Let us correspond to the original two-digit number as "10x + y," with x and y showing the tens and units digits, respectively.
We know from the first piece of information:
x + y = 14
According to the second piece of information:
2(10x + y) + 10y + x = 222
When we simplify this equation, we get:
20x + 22y = 202
We get 10x + 11y = 101 by dividing both sides by 2.
We now have two equations with two variables that can be solved by substitution or elimination. For example, in the first equation, we can solve for x and then substitute into the second equation:
x = 14 - y\s10(14 - y) + 11y = 101
When we simplify this equation, we get: y = 3
Putting y = 3 back into the first equation yields: x = 11.
The original two-digit number is 11 * 10 + 3 = 113.
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a stairway with three steps has three risers that are each 8 inches high and three treads that are each 10 inches deep. what is the area, in square inches, of this figure that is the side panel of the stairway?
The area of the side panel of the stairway is 360 square inches.
The side panel of the stairway is essentially a right triangle with the three steps forming the three horizontal segments (treads) and the three risers forming the three vertical segments (risers).
The height of the side panel would be the total height of the three risers, which is -
3 risers x 8 inches/riser = 24 inches
The length of the side panel would be the total length of the three treads, which is -
3 treads x 10 inches/tread = 30 inches
Now, we can calculate the area of the side panel using the formula for the area of a right triangle:
Area = (base x height)/2
we have the base as the length of the side panel (30 inches) and the height is the total height of the three risers (24 inches).
Substituting these values into the formula we get,
Area = (30 inches x 24 inches)/2
Area = 360 square inches
Therefore, the area of the side panel of the stairway is 360 square inches.
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Belle and Ling are collecting clothes for a clothing drive. Ling collected 1/5 as many clothes as Belle did. If Belle collected 4 bags of clothes, how many bags of clothes did Ling collect?
In the given word problem, Ling collected 4/5 bags.
What is a word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Belle and Ling are collecting clothes for a clothing drive. Ling collected 1/5 as many clothes as Belle did and Belle collected 4 bags of clothes, we need to find how many bags of clothes did Ling collect.
Since, Belle collected 4 bags, and Ling is collected 1/5 of the Belle collection,
So, Ling collected = 4 x 1/5 = 4/5
Hence, Ling collected 4/5 bags.
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answer for this and example
Answer:
e would equal a half because it's in the middle
Unit 5 Lesson 4 Practice Problems o
1. Match each equation with a description of the function it represents.
a. f(x) = 2x+4
b. g(x) = 2(x+4)
c. h(x) = 4x+2
d. k(x) = 4(x + 2)
14 Student
1.
To get the output, add 4 to the input, then multiply the
result by 2.
2.
To get the output, add 2 to the input, then multiply the
result by 4.
3. To get the output, multiply the input by 2, then add 4 to
the result.
4. To get the output, multiply the input by 4, then add 2 to
the result.
On solving the provided question, we can say that equation, k(x) = 4(x + 2) represents the function where you add 2 to the input, then multiply the result by 4.
What is equation?A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.
a. f(x) = 2x+4 represents the function where you multiply the input by 2, then add 4 to the result.
b. g(x) = 2(x+4) represents the function where you add 4 to the input, then multiply the result by 2.
c. h(x) = 4x+2 represents the function where you multiply the input by 4, then add 2 to the result.
d. k(x) = 4(x + 2) represents the function where you add 2 to the input, then multiply the result by 4.
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Solve for the value of d.
(8d+4)⁰
(6d+8)⁰
Hi there, here's your answer:
Given 2 angles:
(6d + 8)° and (8d + 4)°
Observe the figure carefully. You will notice that the two angles form a linear pair.
We know that in a linear pair, sum of the two angles = 180°.
Hence,
(8d + 4 + 6d + 8)° = 180°
(14d + 12)° = 180°
(14d)° = (180 - 12)°
= 14d = 168°
Or
d = 12
Thus, we find the value of d to be d = 12.
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PLEASE ANSWER QUESTION IMAGINE BELOW ill give you brainliest PLEASE ANSWER QUICKKK
After '2' hours, both Car A and Car B will be '20' miles from McDonald Middle School
What is a graph?
A diagram or pictorial representation that organises the depiction of data or values is known as a graph.
The relationships between two or more items are frequently represented by the points on a graph.
Given that, both the cars are traveling at a constant speed and given a graph showing the distance from The school in Y-axis and Time in X-axis
To find the point where the cars meet, We should look at the point of intersection of both the lines of Car A and Car B
We can see the point of intersection to be (2 hours, 20 miles)
i.e., After 2 hours, Both the cars are 20 miles from the school
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Find the volume of this prism.
Answer:
396cm^3
Step-by-step explanation:
use formula V=Area of base * Height that is V=1/2b*h *Height
If five people share three cartons of chow mein what is each person’s share
Answer:
1.66
Step-by-step explanation:
hope this helps
Answer:
3/5 or 0.8
Step-by-step explanation:
3 Cartons, divided by 5 people =
3/5 or 0.8
composition is sometimes referred to as a(n) . 1) is-a relationship. 2) has-a relationship. 3) many-in-one relationship. 4) one-to-many relationship.
Composition is sometimes referred to as has-a relationship.
A form of aggregation, a composition association relationship represents a whole-part relationship. The lifetime of the part classifier is a function of the lifetime of the whole classifier, according to a composition association relationship.
Data typically only flows in one direction (from the whole classifier to the part classifier) in a composition association relationship. For instance, if a student is removed from a class that has a composition association relationship with a schedule class, the schedule is also removed.
Any association may be named to describe the type of connection between the two classifiers; however, names are not required if association end names are used.
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you are flipping 100 coins, putting aside those that come up heads after each flip. how many flips do you expect to make before running out of coins to flip?
5050 flips expect to make before running out of coins .
Let's approach this problem using the concept of geometric distribution.
The probability of getting heads on any given coin flip is 1/2, assuming a fair coin.
So the probability of getting tails on a given flip is also 1/2.
The number of flips it takes to get the first head is a geometric distribution with a probability of success p = 1/2.
The expected number of flips until the first head appears is 1/p = 2 flips.
After the first head appears, there will be 99 coins left to flip.
The expected number of flips until the next head appears is still 2, since the probability of getting heads on any given flip is still 1/2.
So the expected number of flips until the second head appears (and the number of coins remaining drops to 98) is 2+1 = 3 flips.
Similarly, the expected number of flips until the third head appears (and the number of coins remaining drops to 97) is 2+1+1 = 4 flips.
We can generalize this pattern: after k heads have been obtained, the expected number of additional flips until the next head appears (and the number of coins remaining drops to 100-k) is k+1 flips.
Using this formula, we can calculate the expected number of flips to obtain all 100 heads:
E(number of flips) = (2 + 3 + 4 + ... + 101)
= (1 + 2 + 3 + ... + 100) + 100
= (100 x 101 / 2) + 100
= 5050
Therefore, we expect to make 5050 flips before running out of coins to flip and obtaining all 100 heads.
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(a) Share £40 in the ratio 1:3:4
(c) Share 88p in the ratio 2:4:5
(d) Share 180° in the ratio 2:2:5
Pls help, if you don't mind
I would rlly appreciate that
£40 is shared as £5, £15 and £20. 88p is shared as 16p, 32p and 40p. 180° is shared as 40°, 40° and 100°
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
a) Share £40 in the ratio 1:3:4
For the first ratio = (1/8) * £40 = £5
For the second ratio = (3/8) * £40 = £15
For the third ratio = (4/8) * £40 = £20
b) Share 88p in the ratio 2:4:5
For the first ratio = (2/11) * 88p = 16p
For the second ratio = (4/11) * 88p = £32
For the third ratio = (5/11) * 88p = 40p
c) Share 180° in the ratio 2:2:5
For the first ratio = (2/9) * 180° = 40°
For the second ratio = (2/9) * 180° = 40°
For the third ratio = (5/9) * 180° = 100°
The ratios are shown above
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Last one I promise!
In science class, Brandi estimates the mass of a sample to be 107 grams. The actual mass of the sample is 104 grams. Find the percent error of Brandi’s estimate. Round your answer to the nearest tenth.
The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.
What is percentage error?In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.
Mathematically, percentage error can be calculated by using this expression;
Percent error = {experimental value - actual value}/{actual value} × 100
By substituting the given parameters into the percentage error formula, we have;
Percent error = {107 - 104}/{104} × 100
Percent error = 3/104 × 100
Percent error = 0.029 × 100
Percent error = 2.9%.
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if 0 < 0 < pi/2, as 0 increases, the value of cos0 and the value of sin0
As the angle increases from 0 to π/2, the value of sine increases, and the value of cosine decreases.
Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles.
Let us first understand the concept of sine and cosine. In a right-angled triangle, the sine of an angle is defined as the ratio of the length of the side opposite to the angle and the length of the hypotenuse. Similarly, the cosine of an angle is defined as the ratio of the length of the adjacent side and the length of the hypotenuse.
As the angle θ increases from 0 to π/2, the length of the opposite side (the numerator in sine) of the triangle increases, and the length of the hypotenuse (the denominator in sine) remains the same. Therefore, the value of sine increases as θ increases.
On the other hand, as the angle θ increases from 0 to π/2, the length of the adjacent side (the numerator in cosine) decreases and the length of the hypotenuse (the denominator in cosine) remains the same. Therefore, the value of cosine decreases as θ increases.
This behavior is consistent with the fact that sine is an increasing function, while cosine is a decreasing function within this range of angles.
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Complete Question:
If 0< θ <π/2, as Theta increases, the value of
cos(θ) [Decreases/Increases/Remains The Same]
and the value of sin(θ) [Decreases/Increases Remains The Same]
In the data set below, what are the lower quartile, the median, and the upper quartile?
1235588
lower quartile =
median = 5
upper quartile =
The lower quartile is 2, the median is 5 and the upper quartile is 8.
What are quartiles?
The values that divide a list of numerical data into three quarters are known as quartiles.
We are given a data set as 1, 2, 3, 5, 5, 8, 8
From this, we get the median as 5 as median is the middle number of the data set.
We know that lower quartile is the median of the lower half of the data.
So, lower quartile is 2.
Upper quartile is the median of the upper half of the data.
So, upper quartile is 8.
Hence, the lower quartile is 2, the median is 5 and the upper quartile is 8.
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