Is -1 ft greater than -5ft

The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.

The rate of change of a function is the rate at which the output value changes per unit change in the input value.

The possible data and table obtained from a similar question on the website are presented as follows;

Student A

Number of minutes;         \({}\)1              2             3              4

Number of words read; 150        \({}\)300          450          600

Student B

y = 158·x

Where;

x = The time duration in minutes

y = The number of words read by the student

Student C

The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)

The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;

Reading rate for Student A = (300 - 150)/(2 - 1) = 150

The reading rate for Student A is 150 words per minute

The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute

The of the straight ling graph for the reading rate of Student C is found as follows;

Slope = (420 - 280)/(3 - 2) = 140

The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute

The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute

Learn more about the slope of the graph of a function here: https://brainly.com/question/13434264

#SPJ1

A. The cost of a 4-credit-hour math class can be calculated by multiplying the cost per credit by the number of credits, as follows:

Cost of 4-credit math class = 4 x $138.50 = $554

Therefore, a 4-credit-hour math class would cost $554.

B. The equation to determine the total tuition (y) for a given number of credit hours (x) is:

y = x * $138.50

Where x is the number of credit hours and $138.50 is the cost per credit. This equation states that the total tuition cost (y) is equal to the number of credit hours (x) multiplied by the cost per credit ($138.50). This equation can be used to calculate the total tuition cost for any number of credit hours.

Answer:

ok

Step-by-step explanation:

-5 plus 8 equals 3

first i always use a number line its easier that way

-3 because the 5 was a negative and the 8 was a positive so we need to do the inverse operation

Answer:

See below

Step-by-step explanation:

Another notation for same function is

1. Is the function increasing or decreasing?

2. What is the y-intercept?

3. What is the slope?

4. What is f(-2)?

5. If f(x) = 0, what is x?

Answer:

Solving step

\(f(x) = 5x - 7\)

Substitute x=0

\(f(0) = 5 \times 0 - 7\)

Calculate the product

\(f(0) = (0) - 7\)

When adding or Subtracting 0 the quantity does not change

\(f(0) = - 7\)

\(f(x) = 0\)

\(0 = 5x - 7\)

\(5x = 0\)

\(x = \frac{7}{5} \)

OR

\(x = 1.4\)

X intercept: 10/5

Y intercept: 0

To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.

For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.

X Intercept:

To find the X intercept, set Y equal to 0 and solve for X.

5x - 2(0) = 10

5x = 10

x = 10/5

X intercept = 10/5

Y Intercept:

To find the Y intercept, set X equal to 0 and solve for Y.

5(0) - 2y = 10

-2y = 10

y = -10/2

Y intercept = 0

To learn more about linear equation, visit

brainly.com/question/29739212

#SPJ1

Using the given equation 6x-3 y=24 the answers to both subparts are shown:

(A) The line's x-intercept is 4 minutes.

(B) The time Shari will arrive at her place is indicated by the 4 minutes.

An equation is a mathematical statement that uses the word "equal to" in between two expressions with the same value.

Like 3x + 5 = 15, for instance.

There are many different types of equations, including linear, quadratic, cubic, and others.

The three primary types of linear equations are slope-intercept, standard, and point-slope equations.

So, Shari's distance from home on her run across town is represented by the line 6x - 3y = 24......... (1), where y stands for blocks, and x for minutes.

Therefore, when y = 0, we obtain 6x - 0 = 24, which equals x = 4, from equation (1) above.

As a result, 4 minutes is the x-intercept of the line (1).

It is stated that Shari will get to her house in 4 minutes, and there are no blocks between them.

Therefore, using the given equation 6x-3 y=24 the answers to both subparts are shown:

(A) The line's x-intercept is 4 minutes.

(B) The time Shari will arrive at her place is indicated by the 4 minutes.

Know more about equations here:

brainly.com/question/28937794

#SPJ1

Answer:

Subtract

1

1

1

from both sides of the equation

2

+

1

=

1

1

2

+

1

−

1

=

1

1

−

1

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

tienes que quitar 1 de 1 y 11 y te quedas con 10, despues divides 10 con 2x y tienes 5.

Answer:

I think it's 41040

Step-by-step explanation:

38,000*0.08=3,040

3,040+38,000=41,040

(0.08 = 8%)

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: \(\frac{a + b + c + d}{4} = 85\)

Whose largest number is 97: \(\frac{a + b + c + 97}{4} = 85\)

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

Learn more about standard deviation here: https://brainly.com/question/24298037

#SPJ1

Answer:

slope would be zero

Step-by-step explanation:

It is not moving on the graph

Hope this helps!

Answer:

240

Step-by-step explain

so

k = 2640/11 = 240

2640/240 = 11

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

\(\rightarrow\) Side(a) of the cube = \(\sf{\frac{1}{3}ft}\).

\(\rightarrow\) Surface Area of the cube with side \(\sf{\frac{1}{3}ft.}\)

\(\rightarrow\) Surface area of cube = \(\sf{6a^2}\)

\(\rightarrow\) Surface area of cube = \(\sf{6a^2}\) (putting the value of a from the above given)

\(\rightarrow\) \(\sf{=\:6×(\frac{1}{3})^2}\)

\(\rightarrow\) \(\sf{=\:6×\frac{1}{9}}\)

\(\rightarrow\) \(\sf{=\:\frac{6}{9}}\)

\(\rightarrow\) \(\sf{=\:\frac{2}{3}ft^2}\)

Therefore, surface area of the given square = \(\sf{=\:\frac{2}{3}ft^2}\)

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Step-by-step explanation:

A publisher reports that 35% of their readers own a laptop.

This means that the null hypothesis is:

\(H_0: p = 0.35\)

A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

This means that the alternate hypothesis is:

\(H_{a}: p \neq 0.35\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.35 is tested at the null hypothesis:

This means that \(\mu = 0.35, \sigma = \sqrt{0.35*0.65}\)

A random sample of 190 found that 32% of the readers owned a laptop.

This means that \(X = 0.32, n = 190\)

Z-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}\)

\(z = -0.87\)

pvalue of the test and decision:

As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87

Looking at the z-table, z = -0.87 has a pvalue of 0.1922

2*0.1922 = 0.3844

0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Answer:

20

Step-by-step explanation:

20

Hope it helps

Check

3(5 + 4) -7

or 3(9)-7

or 27 - 7

or 20

.......

3

Step-by-step explanation:

There is three terms

Answer:56

Step-by-step explanation:

rather its multiplication,division,adding, and subtraction I will give four answers

Answers: I think its 718320000

Answer:

-------------------------

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

To know more about triangle visit:

brainly.com/question/2773823

#SPJ1

Answer:81

Step-by-step explanation:trust

Answer:

The answer is B

Step-by-step explanation:

The simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

p(x) = x³ + x

The difference quotient of the function:

p(x + h) =  (x + h)³ + (x + h)

The difference quotient of the function:

= [((x + h)³ + (x + h)) - (x³ + x)]/h

= [x³ + 3x²h + 3xh² + h³ + x + h - x³ - x]/h

= [3x²h + 2xh² + h³ + h]/h

= 3x² + 3xh + h² + 1

Thus, the simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

Is 4 inches or B

Step-by-step explanation:

I can't really break it down but I did get it right on Edge 2021.