The hood above the stove in a restaurant kitchen is filled with fans and other ventilation parts.

How much space is there inside the empty hood?

8 feet cubed

12 feet cubed

36 feet cubed

38 feet cubed

Answer:

Yes

Step-by-step explanation:

Start with the 2(x-y) and distribute the 2 to each term

2(x)-2(y)

This would equal

2x-2y

Which matches the second equation making the answer yes.

The pairs of expressions that are equivalent are:

- [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]

- [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]

- [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]

Let's simplify each expression to see if they are equivalent.

Step 1

1. [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]:

  Simplifying [tex]\( 2(x-y) \)[/tex]:

 [tex]\[ 2(x-y) = 2x - 2y \][/tex]

  Yes, they are equivalent.

Step 2

2. [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]:

  Simplifying [tex]\( 4(x+y) \):[/tex]

 [tex]\[ 4(x+y) = 4x + 4y \][/tex]

  Yes, they are equivalent.

Step 3

3. [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]:

  Simplifying  [tex]\( (3q-p)(7) \)[/tex]:

[tex]\[ (3q-p)(7) = 21q - 7p \][/tex]

  Yes, they are equivalent.

Step 4

4. [tex]\( 4(2a-3v) \)[/tex] and [tex]\( 8a+6v \)[/tex]:

  Simplifying [tex]\( 4(2a-3v) \)[/tex]:

 [tex]\[ 4(2a-3v) = 8a - 12v \][/tex]

  No, they are not equivalent.

Step 5

5. [tex]\( 8(3x+c)-1 \)[/tex] and [tex]\( 8c+24x-1 \)[/tex]:

  Simplifying [tex]\( 8(3x+c)-1 \)[/tex]:

  [tex]\[ 8(3x+c)-1 = 24x + 8c - 1 \][/tex]

  No, they are not equivalent.

Step 6

6. [tex]\( 4p+3c \)[/tex] and [tex]\( (c+2p)(2) \)[/tex]:

  Simplifying [tex]\( (c+2p)(2) \)[/tex]:

[tex]\[ (c+2p)(2) = 2c + 4p \][/tex]

  No, they are not equivalent.

[tex]\( (3q-p)(7) \)[/tex]

Complete correct question:

Determine whether each pair of expressions is equivalent.

2(x-y) and 2x-2y

4(x+y) and 4y+4x

21q-7p and (3q-p)(7)

4(2a-3v) and 8a+6v

8(3x+c)-1 and 8c+24x-1

4p+3c and (c+2p)(2)

Answer:

x = 12

See picture for explanation and steps

Answer:

12

Step-by-step explanation:

These angles are exterior alternate , and thus equal

4x + 16 = 7x - 20

3x = 36

x = 12

Step-by-step explanation:

15.3 ft is right..................

Answer:

15.5 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔABC ≅ΔFDE. So corresponding side and angles are equal.

∠ACB = ∠FED

∠ACB = 34.7

Here is what I got. I used the website called desmos. I hope this helped,.,

answer:

the answer would be x-6/3, yes

The inverse of the function f(x) = 3x + 6 is f^-1(x) = (x - 6) / 3. This inverse is also a function, as it satisfies the vertical line test.

The inverse of a function f(x) is typically denoted as f-1(x). To find the inverse of the function f(x) = 3x + 6, you follow two main steps: firstly, replace f(x) with y, yielding y = 3x + 6; secondly, swap x and y to get x = 3y + 6 and solve for y to get the inverse function.

Getting the inverse starts by subtracting 6 from both sides of the equation, which gives x - 6 = 3y.

Dividing through by 3 gives (x - 6) / 3 = y, or equivalently, y = (x - 6) / 3. So, the inverse of the function is f-1(x) = (x - 6) / 3.

This inverse is indeed a function as it passes the vertical line test. That is, any vertical line drawn through the graph of this function will touch the graph at no more than one point, showing that for every input x, there is exactly one output y.

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Answer:

exponents

Step-by-step explanation:

Answer: k = 6

Step-by-step explanation: 24/4=6

Answer:

1/8

Step-by-step explanation:

There are 8 slots and only one of them is pink and even

Answer:

1/8

Step-by-step explanation:

theres only one pink nd even one.all the others r different colors and/or odd

Hope this will help u..:)

Answer:

x

Step-by-step explanation:

de nada

Sin A= 1-x² is the correct answer.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here, Sin C = x/1 and therefore Hypotenuse = 1 and perpendicular =x

thus Base=1-x² by phytogaraen theorem.

Thus Sin A=1-x² /1

Hence, Sin A= 1-x² is the correct answer.

Learn more about  Pythagoras theorem here:

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Answer:

  67.0 cm³

Step-by-step explanation:

The composite shape is a hemisphere of radius 2 atop a cylinder of height 4 and radius 2. The volume formulas for a cylinder and a sphere can be used to find its volume. (Dimensions are in centimeters.)

The formula for the volume of a hemisphere is half that for the volume of a sphere:

  V = (1/2)(4/3πr³) = 2/3πr³

For a radius of 2 cm, the volume is ...

  V = 2/3π(2 cm)³ = 16/3π cm³

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . . for radius r, height h

For the given dimensions, the volume is ...

  V = π(2 cm)²(4 cm) = 16π cm³

The total volume of the solid is the sum of these volumes:

  total = hemisphere volume + cylinder volume

  total = ((16/3)π +16π ) cm³ = (64/3)π cm³ ≈ 67.0 cm³

The volume of the composite solid is about 67.0 cm³.

Answer:4+4=8

Step-by-step

Answer:

2/9=.222

3/5=.6

5/7=.714

Step-by-step explanation:

Answer:

3.14 x 16 = 50,24unit

Step-by-step explanation:

The circumference = π x the diameter of the circle (Pi multiplied by d.

Simply divide the circumference by the π, then you will have the diameter of the circle.

Answer:

Its 52.5

Step-by-step explanation:

Change the percent into a decimal like this: 35%=0.35 and multiply 0.35 by 150 to get 52.5. Hope this helps!

Answer:It makes 126 copies.

Step-by-step explanation:

THIS IS AN EXAMPLE:

just follow and understand this and hopefully it helps :)

Answer: the first one

Step-by-step explanation: 29/90 as in fraction

Answer:

[tex]a=p=\frac{1}{6}\\\\b. \ p=\frac{1}{12}\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Step-by-step explanation:

a. A fair dice has 6 sides with unique identities.

-The sample space of one throw is 6 and each face has an equal chance of showing up.

-The probability of a 6 is calculated as:

[tex]p(six)=\frac{1}{6}\\\\or \ =0.1667[/tex]

Hence, the probability of a 6 is [tex]\frac{1}{6}[/tex]

b.A fair die has  6 unique faces.

-Two throws will have a sample space of 12.

-Each face has an equal probability of appearing twice.

-The probability of a 6 on both throws is:

[tex]P(six)=2\times \frac{1}{6}\\\\=\frac{1}{12}[/tex]

c. A coin has 2 sides(head, tail) and a die has 6 sides.

-The total sample space for the simultaneous throw of a coin and die is 12.

-The resultant sample space is :

[tex]1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]

Answer:

10(4-10m)

Step-by-step explanation:

You have to find something that can go out of both of the numbers.

10 is the highest that i could find.

So you basically have to put the number on the outside of the racks.

Then divide it.

40-100m

÷10 ÷10

whats left is 4-10m

The variable can't be divided with it since it doesn't have another variable to go with.

The expression '40 - 100m' can be factored by finding a common number, which, for 40 and 100, is 20. On factorizing the expression we get: '-20(2 - 5m)'.

The expression '40 - 100m' can be factored by finding a common number that both 40 and 100 can be divided by. This number is 20, but since we also have -100m, we'll use -20. Therefore, the factored form of '40 - 100m' is '-20(2 - 5m)'. Here is the step-by-step process.

Identify numbers that both 40 and 100 can be divided by evenly; in this case, 20.

Factor out the common number from the original expression, which gives '-20(2 - 5m)'.

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Answer:

Step 1:  Set x to -1 in the first equation

[tex]f(x) = -x^2 + x[/tex]

[tex]f(-1) = -(-1)^2 + (-1)[/tex]

[tex]f(-1) = -(1) - 1[/tex]

[tex]f(-1) = -1 - 1[/tex]

[tex]f(-1) = -2[/tex]

Step 2:  Set x to -1 in the second equation

[tex]f(x) = -x[/tex]

[tex]f(-1) = -(-1)[/tex]

[tex]f(-1) = 1[/tex]

Answer:

20

Step-by-step explanation:

12/6 = 2

2x10=20

Answer:

314 square inches long

Answer:

y=5

Step-by-step explanation:

3(3y-4)=33

9y-12=33

9y=45

y=5

Answer:

y = 5

Step-by-step explanation:

First you need to distribute.

3(3y - 4) = 33

9y - 12 = 33

Then add 12 to both sides.

9y = 45

Now, divide both sides by 9.

Y = 5

The solution of equation is [tex]x=2.75[/tex] , which is shown in the graph.

The given equation is,

                           [tex]4x-3=8[/tex]

To solve above linear equation, shift all constant on one side and variable on other side of equation.

                      [tex]4x-3=8\\\\4x=8+3\\\\4x=11\\\\x=11/4=2.75[/tex]

Here graph is attached below which shows the solution of above equation.

Learn more about the linear equation here:

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Answer:

0.75

Step-by-step explanation:

A=bh/2

1x1.5=1.5

1.5/2=0.75