Robert has taken three classes so far. Each class has been a 3 credit hour class. In his classes, he has received two Bs (which calculates as a 3.0/class for purposes of his GPA) and one C (which calculates as a 2.0 for purposes of his GPA). Robert recently learned that there is a minimum GPA needed for him to remain in good standing. He asks you if you think he is in good standing, or if he should be worried.
a. What is Robert’s cumulative GPA? To calculate this, add his GPA for each of his classes and divide by the number of classes he has taken.
b. Should Robert be worried about meeting SAP?
c. Explain why or why not.
d. Which SAP criterion relates to this scenario?

Answer:

2ddksdfkladfkjkafadfasf

Answer:

Step-by-step explanation:

689.50/98.50 = 7 trampolines they sold

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

They are using public relations advertising

Answer:

Public relations.

Step-by-step explanation:

Because charity events can provide a company with publicity, which is part of public relations.

Answer:7.5

Step-by-step explanation:

you divided 15 into 2

Answer:

7 and a half

Step-by-step explanation:

Divide 2 and 15 toet 7 and a alf

Answer:

A=πr2=π·12≈3.14159ft²

A≈3.14ft²

Step-by-step explanation:

Every number or variable with exponent zero is equal to 1.

a. n⁰ = 1

b. -y⁰ = -1

c.(-1/3)⁰ = 1

d.-(2/3)⁰ = -1

e.2 ^-3 =1/8

f. 5 ^-1 = 1/5

g. -8⁰= -1

h.(-8)⁰ = 1

i. 25⁰ = 1

Hence, the equations that are equal to one are:

a. n⁰ = 1

c.(-1/3)⁰ = 1

h.(-8)⁰ = 1

i. 25⁰ = 1

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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calculatewe have the next equation of the parabola

a=-1

b=6

c=-5

then we need to calculated the vertice using the next formula

coordinate x

for the coordinate y

y=-x^2 + 6x - 5=-(3)^2+6(3)-5=4

the coordinate of the vertice is (3,4)

The way to find the domain and the range is illustrated below.

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

x      y

0    200

1    200 -7 +0.345 = 193.345

2    200 - 14 + .345 (4) = 187.38

3    200 - 21 + .345(9) = 182.105

4    200 - 28 + .345(16) = 177.52

5    200 - 35 + 0.345(25) = 173.625

6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

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Complete question:

the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.

the center of the circle is (3,5)

the equation of the circle is,

(x- h )^2 + (y - K)^2 = r^2

here, h,k = coordinate of center,

r = radius of the circle.

now we find the radius,

it the distance between center (3,5) and (-4,10)

(x - 3)^2 + (y -5)^2 = (root74)^

Answer:

2x =309 because 54=5 ok thanks like

Answer:

m = 0.2508 g

Step-by-step explanation:

We know that for continuous exponential decay, we usually use the format;

N = N_o•e^(kt)

Where N and N_o represent amount after time t and intial amount respectively. And k is decay rate.

But in this case, we are dealing with mass.

Thus, we will use;

m = m_o•e^(-kt)

We are given;

Initial mass; m_o = 0.5 g

Time after decay; t = 60 days

Decay rate; k = 1.15% per day = 0.0115 per day

Thus;

m = 0.5e^(-0.0115 × 60)

m = 0.5 × 0.5016

m = 0.2508 g

Answer:

Problem: They did not add -4 and -3 correctly.  The number under -4 and -3 should be -7

Synthetic division

Write the coefficients in the dividend's place and write the zero of the linear factor in the divisor's place:

1  |  -3   -4   5   7  

Bring the first coefficient down

1  |  -3   -4   5   7  

     -3

Multiply it with the divisor (-3 x 1) and write it below the next coefficient:

1  |  -3   -4   5   7  

            -3          

     -3

Add them (-4 + -3) and write the value below:

1  |  -3   -4   5   7  

           -3          

     -3   -7

Repeat.  Multiply -7 with the divisor, write it below the next coefficient:

1  |  -3   -4   5   7  

           -3   -7      

     -3   -7

Add:

1  |  -3   -4   5   7  

           -3   -7      

     -3   -7  -2

Repeat.  Multiply -2 with the divisor, write it below the next coefficient then add. The last term is the remainder

1  |  -3   -4   5   7  

           -3   -7  -2  

     -3   -7  -2 |  5 → R

Therefore, the solution is:

\(-3x^2- 7x - 2 + \dfrac{5}{x-1}\)

Answer:

Step-by-step explanation:

Instead of 1, the divider should be -1

-1 ⊥  -3  -4  5  7

              3

                  7

                      5

_____________

        -3  -7 -2  2

So the quotient is  -3x^2 - 7x - 2 with a remainder of 5; or

-3x^2 - 7x - 2 + 5/(x-1)

Answer:

See attachments

Step-by-step explanation:

Hope this helps.

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

Answer:

(2-12)

Step-by-step explanation:

The acceptable and realistic ways to to change the confidence interval to contain zero are;

Reasons:

The confidence interval is given by the following formula;

\(CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\)

When the mean, \(\overline x\), is positive and large, both values, \(\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and \(\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), will be positive.

Therefore, Martha has to either intervene to reduce the mean also known as x-bar

Increasing the confidence level will increase the allowable error such that \(\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and the interval will contain zero

Therefore;

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Answer:

(-3,3)

Step-by-step explanation:

The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

Marci marks is 44

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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The 6 drawings are grouped to one another

Given data ,

Let the 6 drawings into be divided into two groups of 3 drawings each

And , drawings of each group is similar to one another in some way

where Group 1: ABD

On simplifying the equation , we get

Their curves and the points are in a same order

Group 2: CEF

On simplifying the equation , we get

Their curves and points are oppositely drawn

Hence , the drawings are solved

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The complete question is attached below :

Group the 6 drawings into two groups of 3 drawings each. The drawings of each group must be similar to one another in some way - they must belong together.

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35