The telephone company charges $25 for a service call, and $15 for every 15 minutes the service representative works on repairs. Write an equation you could use to find the total cost of a repair visit.

Answer:

3 elements

because 2^3=8

Answer:

3 elements

because 2^3=8

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Answer: D

Step-by-step explanation:

set the functions to subtract

Answer:

3.5 hours

Step-by-step explanation:

1300 - 0930 = 330 = 3.5 hours

Answer:

The p-value of the test is 0.2.

Step-by-step explanation:

Using the alternative hypothesis that µ ≠ 531, Amy found a t-test statistic of 1.311.

Alternative hypothesis means that e have a two-tailed hypothesis test.

Sample 30 citizens. Amy found a t-test statistic of 1.311.What is the p-value of the test statistic?

Thus, we have a two-tailed test with 30 - 1 = 29 degrees of freedom and t = 1.311. So, using a t-distribution calculator, the p-value of the test is 0.2.

Answer:

When "a" is positive, the parabola opens upwards and the vertex is the minimum value.

Step-by-step explanation:

Answer:

In order to answer this properly, I would need to see the choices. However, I can tell you that:

-Each gallon of paint cost $15

-Karen spent $45 on yellow paint

-Karen spent $60 on blue paint

Step-by-step explanation:

Karen bought a total of 7 cans of paint, all the same price.

105/7=15.

15*3=45 (yellow paint)

15*3=60 (blue paint)

Hope this helps.

Answer:

To find the estimated value we add all of them together then divide it by the amount of them

45.8+43.9+46.2+48.5+47.2+45.8+49.1+43.9+47.6+42.8+46.5+44.9+46.8+45.8 +44.6=689.4

now we divide it by 15 since there is 15 blocks so

689.4 divided by 15=45.96

so the average weight is 45.96

Answer:

1) 2x-1

2) 8 , 11, 11.3

Step-by-step explanation:

1) To figure out the inverse of a function , first change the F(x) to y

y = [tex]\frac{x+1}{2}[/tex]

Then switch the x and y

x = [tex]\frac{y+1}{2}[/tex]

Solve for y. Multiply by 2 both sides. Subtract 1 from both sides.

2) Use distance formula : d = [tex]\sqrt{(x_{2}-x_{1}) ^{2} + (y_{2}-y_1)^{2} }[/tex]

the first two are easy because the same x value. so just calculate Δy

-2 - 6 = -8 When you square it it becomes positive 64 and square root it and it becomes 8.

the next is a Δx. same method. 8-(-3) = -11 Square and square root and you get 11.

last one use the formula. substitute values of x's and y's into equation and solve for d.

Answer:

27 xy^2

Step-by-step explanation:

(3xy) (9y)

Multiply

3*9 =27

xy*y = xy^2

Combine

27 xy^2

Given:

In quadrilateral ABCD, angle B=90° , AB=9m, BC=40m, CD=15m, DA=28m.

To find:

The area of the quadrilateral ABCD.

Solution:

In quadrilateral ABCD, draw a diagonal AC.

Using Pythagoras theorem in triangle ABC, we get

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC^2=9^2+40^2[/tex]

[tex]AC^2=81+1600[/tex]

[tex]AC^2=1681[/tex]

Taking square root on both sides, we get

[tex]AC=\sqrt{1681}[/tex]

[tex]AC=41[/tex]

Area of the triangle ABC is:

[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_1=\dfrac{1}{2}\times BC\times AB[/tex]

[tex]A_1=\dfrac{1}{2}\times 40\times 9[/tex]

[tex]A_1=180[/tex]

So, the area of the triangle ABC is 180 square m.

According to the Heron's formula, the area of a triangle is

[tex]Area=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,

[tex]s=\dfrac{a+b+c}{2}[/tex]

In triangle ACD,

[tex]s=\dfrac{28+15+41}{2}[/tex]

[tex]s=\dfrac{84}{2}[/tex]

[tex]s=42[/tex]

Using Heron's formula, the area of the triangle ACD, we get

[tex]A_2=\sqrt{42(42-28)(42-15)(42-41)}[/tex]

[tex]A_2=\sqrt{42(14)(27)(1)}[/tex]

[tex]A_2=\sqrt{15876}[/tex]

[tex]A_2=126[/tex]

Now, the area of the quadrilateral is the sum of area of the triangle ABC and triangle ACD.

[tex]A=A_1+A_2[/tex]

[tex]A=180+126[/tex]

[tex]A=306[/tex]

Therefore, the area of the quadrilateral ABCD is 306 square meter.

Answer: Number “2”

Step-by-step explanation: I took the ck-12 Applications with Inequalities

Answer:

Segment EH or segment EG

Step-by-step explanation:

A tangent segment is a segment that has one of its endpoints perpendicular to the radius of a circle. The point where the one endpoint of the tangent segment and the radius meet is the point of tangency.

Segment EH and segment EG are both tangent segments to the circle with center Q.

Any of the two is the answer

Answer:

B. One

Step-by-step explanation:

Multiply the first equation by 2 and then add both equations to get rid of [tex]x[/tex]:

[tex]\begin{cases}2x+8y=18,\\-2x+y=0\end{cases}[/tex]

Adding both equations:

[tex]8x+y=18,\\9y=18,\\y=2[/tex]

Substituting [tex]y=2[/tex]:

[tex]-2x+2=0,\\-2x-2,\\x=1[/tex]

Therefore the only solution to the system of equations is (1, 2) and the system has one solution.

Answer:

[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]

Step-by-step explanation:

Given

[tex]xy^\frac{2}{9}[/tex]

Required

The equivalent expression (see attachment)

We have:

[tex]xy^\frac{2}{9}[/tex]

Split

[tex]xy^\frac{2}{9} = x*y^\frac{2}{9}[/tex]

Apply the following laws of indices

[tex]y^\frac{m}{n} = \sqrt[n]{y^m}[/tex]

So, we have:

[tex]xy^\frac{2}{9} = x*\sqrt[9]{y^2}[/tex]

Hence (d) is correct

Answer:

Its D.

Step-by-step explanation:

Just took the quiz on EDGE2022

Answer:

11.4 bottles for US gal.

13.6 bottles for Imperial gal.

Step-by-step explanation:

1 US gallon = 3.8 L

6 US Gallons = 6*3.8 L = 22.8 L = 11.4 bottles

1 Imperial gallon = 4.54 L

6 Imperial gallons = 6*4.54 L = 27.24 L = 13.6 bottles.

9514 1404 393

Answer:

  (c)  [-2, 7]

Step-by-step explanation:

We can solve the inequality for an expression in x.

  2|5 -2x| -3 ≤ 15

  2|5 -2x| ≤ 18 . . . . . . add 3

 |5 -2x| ≤ 9 . . . . . . . . divide by 2

We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)

  |2x -5| ≤ 9

Now, we can "unfold" this to get the compound inequality ...

  -9 ≤ 2x -5 ≤ 9

  -4 ≤ 2x ≤ 14 . . . . . add 5

  -2 ≤ x ≤ 7 . . . . . . . divide by 2

The solution interval is [-2, 7].

__

The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.

Answer:

D

Step-by-step explanation:

F(1)=7

G(f(1)= g(7)= 49-1=48

Answer: The value of the 50th percentile is 30.2 hours.

Step-by-step explanation:

We are given:

Mean of the data watching television by 24 families = 34 hours

Median of the data watching television by 24 families = 30.2 hours

8th percentile of the data = 19 hours

The median of data is the value that divides the data into two equal halves.

This means that the median will represent the 50th percentile of data.

Thus, the value of the 50th percentile is 30.2 hours.

The answer is true because it is not a general form

[tex]{correct me if i am wrong}}[/tex]

The difference between the cash price and the initial deposit in hire purchase is known as [tex]_\( \text{Principal} \)_[/tex].

In hire purchase transactions, buyers can acquire goods by making an initial down payment and paying the remaining amount in installments. The difference between the total cost of the item and the initial deposit is a crucial concept known as the [tex]_\( \text{Principal} \)_[/tex] in mathematical terms. Let's explore this in detail.

In the context of hire purchase, the total cost of the item is often referred to as the cash price. It represents the actual value of the item without considering any interest or finance charges. On the other hand, the initial deposit, also called the down payment, is the amount paid upfront by the buyer to secure the item.

Now, let's introduce some variables to help us understand this concept mathematically:

- Let CP be the cash price of the item.

- Let D be the initial deposit made by the buyer.

The difference between the cash price and the initial deposit is given by:

[tex]\[ \text{Principal} = CP - D \][/tex]

The Principal is the amount that remains to be paid off in installments, and it serves as the basis for calculating the subsequent monthly or periodic payments in a hire purchase agreement.

The Principal is critical because it determines the total amount the buyer will end up paying for the item. It also affects the duration of the hire purchase agreement, as the buyer's installments are typically spread over a specific number of months or years.

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Answer:

It is possible, because the two shortest sides have to add up to be more than the longest side, and 8 + 12 = 20, which is more than the longest side of 17.

So yes, I agree with Bear.

Answer:

90.25πm^2

Step-by-step explanation:

circumference = 2 pie r

then , 19 pie meter = 2 pie r

so radius r = 19 /2 m

therefore ,

area of circle = pie r ^ 2

= 90.25 pie meter square

Answer:

circle circumference formula is 2 pi R

and area of circle pi R ²

19 pi is 2×9.5×pi

so the radius is 9.5

and area is pi 9.5² m² = 90,25 pi m²

Answer: (2,6) (-3,11)

Step-by-step explanation:

At the intersection, y=9- 6/x and y+x = 8 are equal to each other

y + x = 8  is the same as y=8-x

Sub this into y = 9 - 6/x

8 - x = 9 - 6/x

Multiply everything by x:

8x - x^2 = 9x - 6

x^2 + x - 6 = 0

(x-2)(x+3) = 0

x = 2   (so y = 9 - 6/x so y = 9 - 6/2 =6)

x = -3 (so y = 9-6/x so y = 9-6/-3 = 11)

The coordinates of two points will be ; (2,6) and (-3,11).

It is given that the curve y = 9 - (6 / x) and line y + x = 8.

Find the coordinates of two points.

What is the general equation of line ?

General equation is given by ; y = mx + c.

At the intersection,

y = 9 - 6/x ----------- (Equation 1)

and y + x = 8 are equal to each other.

y + x = 8 can be written as y = 8-x.

Substitute this into Equation 1.

8 - x = 9 - ( 6/x )

Multiply both sides by x ;

8x - [tex]x^{2}[/tex] = 9x - 6

[tex]x^{2}[/tex] + x - 6 = 0

This can be written as ;

(x-2) (x+3) = 0

So we get values of x ;

i.e., x = 2  , -3

For , x = 2

y = 9 - 6/x

⇒ y = 9 - (6/2)

 ⇒ y = 6

For , x = - 3

⇒ y = 9 - (6/x)

⇒ y = 9 - (6/ -3)

⇒ y = 11

Thus , the coordinates of two points will be ; (2, 6) and (-3,11).

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Answer:

actually I would have solved it but don't know the angle you're talking about

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

Unfortunately that's an impossible question because we have no idea what the variable is. Sorry buddy. You're on ur own there