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hichkok12 [17]
1 year ago
15

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________

__.
Mathematics
1 answer:
lora16 [44]1 year ago
8 0

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

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Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volum
defon
At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.

The volume of a pyramid is   (1/3) (base area) (height)

Each of these pyramids has the same base area and the
same height, so ...

      Volume of the lower pyramid = (1/3) (base area) (height)
      Volume of the upper pyramid = (1/3) (base area) (height)

Combined volume of both pyramids = (2/3) (base area) (height) .

Now, how do the pyramids relate to the rectangular prism ?

Their base area is  (length x width) of the prism, and
their height is  (1/2 the height) of the prism.

From here, we'll work with the dimensions of the prism ... L, W, and H .

Combined volume of the pyramids = (2/3) (L x W) (1/2 H)

                                                           =  (1/3) (L x W x H) .

Volume of the prism  =  (L x W x H)

The pyramids occupy 1/3 the volume of the prism.

The ratio is  1/3 .
5 0
2 years ago
chen is buying a ham. He wants to divide it into 6.5-ounce servings for 12 people. write and solve a division equation to find w
OLga [1]

Answer:

Amount of people to serve x Serving Size = Size of ham

12 x 6.5 = ?

=78

Step-by-step explanation:

Looking for size ham chen should buy = ?

Amount of people to serve = 12

Serving Size = 6.5-ounce

Equation=

Amount of people to serve x Serving Size = Size of ham

12 x 6.5 = ?

=78

8 0
2 years ago
Background information: This is an excerpt from an investigative report commissioned by the United Nations.
RoseWind [281]

Answer: genocide, deliberate attacks against civilians and crimes against humanity

Step-by-step explanation:

The United States took the lead in the U.N. Security Council to pass four resolutions on Sudan in 2004. The U.S. legislatures passed a joint resolution on July 23 declaring that the Sudanese government and the Janjaweed were guilty of genocide. And a survey of Darfurian refugees in Chad and concluded that “genocide has been committed and may still be occurring in Darfur

Nevertheless, According to this passage, the government of Sudan was also guilty of deliberate attacks against civilians, and crimes against humanity

6 0
1 year ago
Read 2 more answers
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
2 years ago
Martin and three of his friends take turns driving on a trip. The gas mileage for their car ranges from 28.94 to 24.56 miles per
mart [117]

Answer:

A. No, the estimate should be higher

Step-by-step explanation:

To determine the maximum number of gallons of fuel the car can consume, we express this as;

Maximum miles driven=highest consumption per gallon×Maximum gallons

where;

Maximum miles driven per person=64 mile

Maximum miles driven=64×4=256 miles

highest consumption per gallon=24.56 miles per gallon

Maximum gallons=g

replacing;

256=24.56×g

24.56 g=256

g≥256/24.56=10.42 gallons

g≥10.42 gallons

No, the estimate should be higher

8 0
2 years ago
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