2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT

Answer:

5x-1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

f(x) + g(x) = 3x-2 +2x+1

                Combine like terms

                = 5x-1

Answer:

(f+g)(x)=5x-1

Step-by-step explanation:

To find (f+g)(x), add f(x) and g(x)

f(x)+g(x)

We know that f(x) is equal to 3x-2 and g(x) equals 2x+1.

f(x)=3x-2

g(x)=2x+1

(3x-2)+ (2x+1)

Combine like terms. Add all the terms with a variable, then all the terms without a variable

(3x+2x)+(-2+1)

5x+(-2+1)

5x-1

(f+g)(x)=5x-1

Answer:

8 = m        -12 =m

Step-by-step explanation:

10=|m+2|

There are two solutions to the absolute value equation, one positive and one negative

10 = m+2     -10 = m+2

Subtract 2 from each side

10-2 = m+2-2          -10-2 = m+2-2

8 = m                            -12 =m

Answer:

8, -12

Step-by-step explanation:

use a online calculator

Answer:

Actually, if you graph it the correct answer is the third option, not the first

Trust me I got 100%

Answer:

y = -4x+5

Step-by-step explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5

Answer:

O y=-4x + 5

Step-by-step explanation:

I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:

"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.

"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.

"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.

"y=-4x + 5" should be the correct answer.

Answer:

110

Step-by-step explanation:

Answer:

same it is pretty blury unblur it

Step-by-step explanation:

Answer:

It will be in the 3rd quadrant.

Step-by-step explanation:

Hope that helps!

Answer:

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.

Answer:

A. 3 red squares to 6 green squares.

Step-by-step explanation:

We have 15 red squares for 30 green squares. The ratio is:

[tex]$\frac{15}{30} $[/tex]

Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides  [tex]$\frac{3}{6}$[/tex]  , other examples:

[tex]$\frac{1}{2} $[/tex]

[tex]$\frac{5}{10} $[/tex]

Answer:

A

Step-by-step explanation:

15:60

Simplify the ratio.

15/15:60/15

1:4

Answer:

1:4

Step-by-step explanation:

The answer is 1:4 because 15:60 simplified is 1:4

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

Answer:

Center = (9, -16)

Step-by-step explanation:

So you already have the center in the equation.

The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

Center = (9, -16)

Answer:

The amount of interest to be paid is $105

Step-by-step explanation:

To find how much interest that will be paid, we will follow the steps below;

Simple Interest = PRT / 100

where p is the principal,  R is the rate and T is the time  in years

from the question given

principal P = $1000

Rate R = 3.5  

and time T = 3

substitute the values into the formula above

Interest = $1000×3.5×3   / 100

              =$10×3.5×3

               =$105

Interest = $105

The amount of interest to be paid is $105

Answer: no sense

Step-by-step explanation:

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

Answer:

[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]

[tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]

[tex]csc(x)=2[/tex]

[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]

[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

Answer:

D

Step-by-step explanation:

Starts with 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

and so on

Answer:

The Answer is 2160000000

Answer:2160000000

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Plugging 14 into the given model equation, you get:

[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]

Hope this helps!

Answer:

The answer is 3

Step-by-step explanation:

Answer: 19.723083

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took it on ap ex

The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The graphed function are shown in figure.

Now, All the points on the graph are,

⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)

Hence, The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

Thus, ''Option A'' is true.

Learn more about the coordinate visit:

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Answer:There are 96 apples in the 12th bag.

Step-by-step explanation:

Firstly, you add the number of apples in the 11 bags.

6+28+16+27+10=87

If the mean number of apples in the 12 bags were 8, the total number of apples are 96.  

Using this info, we subtract 87 from 96 to 9.

Hence, there are 9 apples in the 12th bag.

Answer:

The true statement about the results of the survey is:

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

And operate:

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

Answer:

B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

Step-by-step explanation:

Answer:

first dude is right :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two angles are complementary, the sum of measures of  two angles is 90

Using this, you can find the angles

Answer:

Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:

A + B = 180

so

A=180 - B or

B=180-A

Examples:

• 60° and 30° are complementary angles.

• 5° and 85° are complementary angles.

Answer:

y - 32 = 4(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 4(x + 3) ← is in point- slope form

with slope m = 4

Parallel lines have equal slopes.

Using m = 4 and (a, b) = (4, 32), then

y - 32 = 4(x - 4) ← equation of parallel line

Answer:

B 6.00

Step-by-step explanation:

M= 6$

C= 9$

M+C= 6+9= 15$ per hour

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

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Answer:

x = -6

Step-by-step explanation:

to solve this you can just add 7 to both sides of the equation.

x -+7 = -13

  +7      +7

x = -6

this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.

hope it helps!