8.
Describe how the graph of y = |x|- 4 is like the graph of y = |x| and how it is different.​

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

Learn more about percentage here:

brainly.com/question/24159063

#SPJ1

We know the mean is the average.

The mean of a data set is found by adding all the numbers and then dividing by the number of numbers.

We know 4 of the 5 numbers.

Let the 5th number be "x".

So, from the given information, we can write an equation:

Cross multiplying and a bit of algebra will let us find the value of "x":

The fifth value is 14.

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

Answer:

x = -4

Step-by-step explanation:

Answer:

Answer is option (B)......

Answer:

No

Step-by-step explanation:

The complete solution to this problem is: x = 1.8, y = 3.

Equations can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

For example, the equation 2x + 3 = 7 is an equation that states that the expression on the left side (2x + 3) is equal to the expression on the right side (7). The goal is to find the value of the variable x that satisfies the equation. In this case, x = 2 is a solution to the equation.

To find the value of x for which the pair of numbers (x; 3) would be a solution to the equation 10x - y = 15, we need to substitute the value of y with 3 and solve for x. So, we have:

10x - 3 = 15

Next, we can add 3 to both sides to isolate x:

10x = 18

Finally, we can divide both sides by 10 to find x:

x = 1.8

So, for the pair of numbers (x; 3) to be a solution to the equation 10x - y = 15, x must be equal to 1.8.

To know more about expression visit:

https://brainly.com/question/29176690

#SPJ1

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

For more such questions on charges , Visit:

https://brainly.com/question/30478263

#SPJ11

Answer:

A,,45.25

B,657.2

Step-by-step explanation:

its the answer

Answer:

g(n)=80×3^(n-1)

Step-by-step explanation:

First term (a)=80

The ant population tripled every week.

So, the population of ant after 1st week will be (80 × 3) = 240

After 2 weeks, the population triples again.

We have, (240 × 3) = 720

Common ratio (r)=720/240

=3

r=3

The ants population is increasing in a geometric progression

A geometric progression is given by

g(n)=a × r^(n-1)

Substitute values of a and r to get the explicit formula

g(n)=a × r^(n-1)

g(n)=80×3^(n-1)

The vertical direction moved by the graph is 1 unit up

From the question, we have the following parameters that can be used in our computation:

y = 7cos(2π/7(x + 9)) + 1

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D or

f(x) = Asin(B(x + C)) + D

Where

Using the above as a guide, we have the following:

Vertical shift = D = 1

Hence, the vertical direction of the graph is 1 unit up

Read more about sinusoidal function at

brainly.com/question/21286958

#SPJ1

Answer:

y= 1/5x -7

Step-by-step explanation:

1/5 is the slope

-7 is the y-intercept

Answer:

Step-by-step explanation:

Answer: its graph C!, I got it right

Answer:

150u+90

Step-by-step explanation:

..

Answer:

In (5u+3) 5 is a constant

Step-by-step explanation:

Answer:

I'm pretty sure 8

Step-by-step explanation:

Answer:

2)She could either divide by 3 or distribute 3 into the parenthesis

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5. Also, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7. Therefore, it is clear that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

A Pythagorean triple is a set of three integers that satisfy the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or hypotenuse. For example, the triple (3, 4, 5) is a Pythagorean triple because 3^2 + 4^2 = 5^2.

Now let's talk about triangular numbers. A triangular number is the sum of the first n positive integers, and it can be represented by the formula Tn = 1 + 2 + 3 + ... + n = (n(n+1))/2. The first few triangular numbers are 1, 3, 6, and 10.

Interestingly, in the list of the first few Pythagorean triples, we can observe a pattern where the value of b is four times a triangular number. For example, in the Pythagorean triple (3, 4, 5), we have b = 4T1. In (5, 12, 13), b = 4T2. In (7, 24, 25), b = 4T3. And in (9, 40, 41), b = 4T4.

So the question is: is this pattern true for all triangular numbers? Let's investigate further.

a) To find a primitive Pythagorean triple (a, b, c) with b = 4T5, we need to find a value of a and c such that a^2 + b^2 = c^2 and b = 4T5. Using the formula for T5, we get T5 = (5(5+1))/2 = 15. Therefore, b = 4T5 = 60. We can use the Euclid's formula for generating Pythagorean triples, which states that for any two positive integers m and n with m > n, a Pythagorean triple (a, b, c) can be generated by a = m^2 - n^2, b = 2mn, and c = m^2 + n^2.

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5.

Similarly, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7.

b) Now, the question is whether there is a primitive Pythagorean triple (a, b, c) with b = 4Tn for any triangular number Tn. Let's assume this is true and try to prove it.

Using the same Euclid's formula, we can generate a primitive Pythagorean triple (a, b, c) with b = 4Tn by setting m = 2Tn+1 and n = Tn. This gives us a = 4Tn^2 + 1 and c = 4Tn^2 + 2Tn + 1, and we can verify that b = 4Tn using the formula for Tn.

Therefore, we have proven that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

For more such questions on Pythagorean triple.

https://brainly.com/question/15190643#

#SPJ11

A right circular cylinder and oblique cylinder with a height of 17 inches and diameter of 8 inches do not have the same volume.A right circular cylinder is a three-dimensional figure with a circular base and a circular top that is parallel to the base and can be found by using the formula, V = πr²h,

where r is the radius of the base and h is the height of the cylinder.An oblique cylinder is a three-dimensional figure with a circular base and a circular top that is not parallel to the base and can be found by using the formula, V = Bh, where B is the area of the base and h is the height of the cylinder. Because the oblique cylinder is not parallel to the base, the area of the base must be found and multiplied by the height of the cylinder.In order to solve the problem, we must first compute the volume of each cylinder, using the formulae given above. We can then compare the volume of each cylinder.

The formula for the right circular cylinder, we get:

V1 = πr²hV1 = π (4²) (17)V1 = 904π

Using the formula for the oblique cylinder, we get

:B = πr²B = π (4²)B = 16π

V2 = BhV2 = (16π) (17)V2 = 272π

V1 = 904π and V2 = 272π,

meaning that the right circular cylinder has a larger volume than the oblique cylinder, and therefore, they do not have the same volume.

To know more about cylinder visit:

https://brainly.com/question/30390407

#SPJ11

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

To learn more about the size of a sample, click on the below link:

https://brainly.com/question/14172957

#SPJ4

No, you are supposed to do them at the same time. You need to go in whatever order they are in from left to right.

-2.05 is the critical value for the left-tailed test .

What is critical z value?

The -1.96 and +1.96 standard deviations are the essential z-score values when adopting a 95 percent confidence level.

                               With a 95 percent confidence level, the uncorrected p-value is equal to 0.05.The critical value for a two-sided test is Z 1-/2, while for a one-sided test, it is Z 1.

                      You reject the null hypothesis if the absolute Z-value is higher than the crucial value. If not, you have not successfully ruled out the null hypothesis.

Given that,

α = 0.02.

left tailed test

Zα = 0.02 = -2.05

critical value = -2.05

Learn more about critical z value

brainly.com/question/29692242

#SPJ1

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

Learn more about quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

Answer: √5-√3

Step-by-step explanation:

\(\displaystyle\\\frac{1}{\sqrt{5}+\sqrt{3} } +\frac{1}{2} (\sqrt{5} -\sqrt{3})\\\)

Let us reduce this expression to a common denominator:

\(\displaystyle\\\frac{1+\frac{1}{2}(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3}) }{\sqrt{5} +\sqrt{3} } =\\\\\frac{1+\frac{1}{2}((\sqrt5)^2 -(\sqrt{3} )^2) }{\sqrt{5}+\sqrt{3} } =\\\\\frac{1+\frac{1}{2}(5-3) }{\sqrt{5} +\sqrt{3} } =\\\\\frac{1+\frac{1*2}{2} }{\sqrt{5} +\sqrt{3}} =\\\\\frac{1+1}{\sqrt{5} +\sqrt{3} } =\\\\\frac{2}{\sqrt{5}+\sqrt{3} }\)

Let's get rid of the irrationality in the denominator:

\(\displaystyle\\\frac{2(\sqrt{5}-\sqrt{3} ) }{(\sqrt{5} +\sqrt{3})(\sqrt{5} -\sqrt{3}) } =\\\\\frac{2(\sqrt{5}- \sqrt{3} )}{(\sqrt{5})^2-(\sqrt{3})^2 }=\\\\\frac{2(\sqrt{5} -\sqrt{3}) }{5-3} =\\\\\frac{2(\sqrt{5}-\sqrt{3}) }{2} =\\\\\sqrt{5}-\sqrt{3}\)

Answer:

if the question is an objective question

Answer:

9.85 × \(10^{-1}\)

Step-by-step explanation:

a number expressed in standard form is

a × \(10^{n}\)

where 1 ≤ a < 10 and n is an integer

given

\(\frac{985}{1000}\)

= 0.985

= 9.85 × \(10^{-1}\)

Answer:

He is incorrect. He would need 225g of cocoa powder

Step-by-step explanation:

1. Lets calculate how much powder do we need per one cupcake, so 60 divided by 20, since 60g makes 20 cupcakes, 60/20 = we get 3g of cocoa powder per one cupcake.

2. Now we can multiply that by 75, 75*3=225, and 225g is more than 210g

Answer:

-7y^2-x+11y

Step-by-step explanation:

If a student gets an 89% on a test, this would be considered an observed score.

In the context of test scoring, different types of scores are used to evaluate a student's performance.

- True score: The true score represents the student's actual or underlying ability on the test. It is the hypothetical score that would be obtained if all measurement errors were eliminated. However, the true score is typically unknown and cannot be directly measured.

- Observed score: The observed score is the score that is actually obtained by the student on the test. It is based on the student's performance and reflects their achievement or outcome on the test.

- False score: The term "false score" is not commonly used in the context of test scoring. It does not have a specific meaning related to the interpretation of test scores.

- Error score: The error score refers to the discrepancy between the true score and the observed score. It represents the measurement error or uncertainty associated with the test administration and scoring process. The error score reflects the extent to which the observed score deviates from the true score due to factors such as test administration conditions, scoring errors, or other sources of measurement variability.

In this case, an 89% on a test would be considered an observed score because it represents the actual score obtained by the student based on their performance on the test.

Learn more about observed score here;

https://brainly.com/question/31580098

#SPJ11