f(x) = -22 + x + 14
Find f(2)

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

Answer:

59cm

Step-by-step explanation:

Step-by-step explanation:

20a + 158+6c=you will expand the brackets

= so it is 120+60+48

20a+158+6c=120+60+48

20a+ 6c=120+60+48-158

20a+6c=70

20a divide by 20+6c divide by 6 on both side

a + c = 0.58

Answer:

9/20

Step-by-step explanation:

You have to multiply both numerators and both denomenators!

3/4 x 3/5 = 9/20

3 x 3 = 9

4 x 5 = 20

therefore, your answer is 9/20!

Hope this helps, Have a nice day!

Answer:

[tex]y = -\frac{3}{2}x + 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

[tex]\frac{2m}{3} = -1[/tex]

[tex]2m = -3[/tex]

[tex]m = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + 2[/tex]

Answer:

9:6

Step-by-step explanation:

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  a ≈ 4.68

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

  a = √(b² +c² -2bc·cos(A))

  a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906

  a ≈ 4.68

Answer:

a≈4.68

Step-by-step explanation:

have a good one!!!

Answer:

53

Step-by-step explanation:

4ft x 12 = 48 in

48 in+ 5 in= 53

4 feet and inches will be equal to 53 inches .

Given,

4 feet 5 inches

Now conversion of inches to feet,

Few unit conversions,

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

1 feet = 12 inches

Here we need to convert feet into inches,

So,

1 feet = 12 inches

4 feet = 48 inches

Hence the height will be,

48 inches + 5 inches = 53 inches

Learn more about conversions,

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Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference in the x values

Answer:

60 cubic units

Step-by-step explanation:

The figure is 5 tall, so just add 5 for each square on the top view.

The volume of the rectangular prism is 60 cubic units

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as V

Now , the equation will be

The length of the rectangular prism = 3 units

The width of the rectangular prism = 4 units

The height of the rectangular prism = 5 units

Now , the volume is calculated by

Volume of Rectangle = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangle V = 3 x 4 x 5

On simplifying the equation , we get

Volume of Rectangle V = 60 cubic units

Therefore , the value of V is 60 cubic units

Hence , the volume of the rectangular prism is 60 cubic units

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

Answer:

22.7°

Step-by-step explanation:

22.714° to nearest 10th is 22.7

Explanation:

We can rewrite y = -3 as y = 0x-3 or y = 0x+(-3)

Compare that to y = mx+b and we can see that m = 0 is the slope and b = -3 is the y intercept. The slope of 0 indicates a horizontal line.

We can think of it is as slope = rise/run = 0/1 = 0. A rise of 0 tells the reader "the graph does not go up or down at all". Every point on the line y = -3 has y coordinate of -3. Two such points are (0,-3) and (1,-3).

Step-by-step explanation:

First, multiply -7 by 0.

-7×0=0

Now, do the adding and subtracting.

1+0=1

1+9=10

10+5=15

15+5=20

20+3=23

23+9=32

32+3=35

35+112=147

147-123=24

24+7=31

31+0=31

The answer is: 31

Answer:

Step-by-step explanation:

For this triangle, since the angle is included between 2 given sides, the formula will be:

[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]

Putting values where they belong:

[tex]A=\frac{1}{2}(10)(12)sin72[/tex]

Do all that in your calculator (in degree mode, NOT radian!) to get

A = 57.1 square cm

Answer: 10x5

(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)

Step-by-step explanation:

3 blocks = 18 meters, so

1 block = 6 meters

60meters/ 6meters= 10 blocks

30 meters/ 6 meters = 5 blocks

Answer:

(x - 5)(3x + 3)

Step-by-step explanation:

(x - 5)(3x + 3)

3x2 + 3x - 15x - 15

3x2 - 12x - 15

p=7, I don't know if this is a question or not

Answer:

c.

Step-by-step explanation:

i did the test

Answer:

C

Step-by-step explanation:

Answer:

422.50

Step-by-step explanation:

just multiply 13 × 32.5=422.50

Answer:

the answer is 38.25

Step-by-step explanation:

45-15%

=38.35

Answer:

$6.75

Step-by-step explanation:

To solve any percent problem, u can use the equation part         %

                                                                                           -------   =   ---

                                                                                         whole       100

(the lines are fraction bars btw, when u right out the problem, write it as fractions)

In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:

100x = 675.

Then, divide 675 by 100 to get x = 6.75.

So Natalie saves $6.75.

hope this helps!

Answer: B

Step-by-step explanation:

Answer:1/4 + 1/4 = 1/2 = 0.5