"I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."

Answer:

f(x,y)=(x-6, y-3)

(5-1)=(5-6, 1-3)=(-1,-2)

(1,3)=(1-6, 3-3)=(-5,0)

ans; (-1 , -2 ) , (-5 , 0)

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer:

D. pi

Step-by-step explanation:

Circumference of a circle = \( \pi d \)

Diameter = d

Therefore, ratio of circumference of a circle to its diameter would be:

\( \pi d : d \)

\( = \frac{\pi d}{d} = \pi \) => (d cancels d)

Therefore, the ratio of the circumference of a circle to its diameter is \( \pi \)

The approximate diameter of the garden is 12.84 feet.

What is circumference?

The circumference of a circle is the distance around the edge of the circle or It is the perimeter or the length of the boundary of a circle. It is a measure of the total length of the circle, just like the perimeter is the measure of the total length of a polygon. The circumference is also related to the diameter and radius of a circle by the formula:

Circumference = 2πr = πd

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C / 2π

In this case, we are given that the circumference is 40.25 feet and π is approximately 3.14. Substituting these values into the formula, we get:

r = 40.25 / (2 x 3.14) ≈ 6.42 feet

The diameter of the circle is twice the radius, so we can find the approximate diameter by multiplying the radius by 2:

d ≈ 2 x 6.42 ≈ 12.84 feet

Rounding to the nearest hundredth, we get a diameter of approximately 12.84 feet.

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The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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Answer:

x axis & (-5,-7)

Step-by-step explanation:

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

x = 2 and y = 0

Step-by-step explanation:

x - 2y = 2

3x + y = 6

using the substitution method, we solve the first equation for 'x' to get

x = 2y + 2

plug that into 'x' in the second equation

3(2y + 2) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

find 'x':

3x + 0 = 6

x = 6/3

x = 2

Answer:

x=2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

m = 3

Step-by-step explanation:

For slope intercept of (y+4)=3(x+2) use the slope-intercept form  

y  =  m x  +  b  to find the slope  m.

Answer:

35 i think

Step-by-step explanation:

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Therefore , the solution of the given problem of percentage comes out to be the transaction increased the store's revenue by $24.98.

A statistic or number that is stated as a proportion of 100 is referred to as a "a%" in statistics. Additionally, the terms "pct," "pct," and "pc" are not commonly used. However, it is commonly denoted by the symbol "%". There are no dimensions; the percentage total is flat. Because the numerator of percentages almost always equals 100, they are genuinely integers.

Here,

The shop offers 18 remote controls each week for a suggested retail price of $12.49 prior to the sale.

The following formula can be used to determine the store's monthly revenue in the absence of the sale:

=> 18 x $12.49 = $224.82

This formula can be used to determine the selling price:

=> $12.49 x 0.8 = $9.992

The retailer sold 25 remote controls during the sale, so the proceeds from the transaction can be determined as follows:

=> 25 x $9.992 = $249.80

We must deduct the initial revenue from the revenue produced by the sale in order to compute the increase in revenue as a result of the sale:

=> $249.80 - $224.82 = $24.98

As a result, the transaction increased the store's revenue by $24.98.

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The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Answer:

the distance covered by a car at a constant speed

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

50

Step-by-step explanation:

I say its 40+10 because

40-10 (one number is 10 less than)=30

10(3) (three times the other number)=30

so 40+10=50

Is the ordered pair (-1, -5) is a solution to inequality y < -3/4 x - 1

No, because (-1, -5) is above the line.

The inequality y < -3/4x - 1 represents a line on a coordinate plane.

The inequality symbol "<" means that the values of y that satisfy the inequality are those that are strictly less than the value of the right-hand side of the equation.

So, for any given x-value, all y-values that are less than the corresponding y-value on the line satisfy the inequality.

In this case, when x = -1, the corresponding y-value on the line is -3/4 * -1 - 1 = 1/4.

Since -5 is greater than 1/4, it means that (-1, -5) is above the line and does not satisfy the inequality y < -3/4x - 1.

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To solve the inequality 2/3k - 6 < 24, we can start by adding 6 to both sides of the inequality:

2/3k - 6 + 6 < 24 + 6

Simplifying the left side gives:

2/3k < 30

To isolate k, we can multiply both sides by 3/2:

2/3k * 3/2 < 30 * 3/2

Simplifying the left side gives:

k < 45

Therefore, the inequality 2/3k - 6 < 24 expressed in its simplest form is k < 45.

If 7 feet below the surface of a river is written as -7 then 0 would be the surface of the river.

The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

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Answer:

(D) 18ft per second

Step-by-step explanation:

the average of the height of the ball is increasing from t=0 to t=2.