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2 years ago

Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?

Mathematics

1 answer:

romanna [79]2 years ago

4 0

The two expressions are equivalent because they have the same value regardless of the number of substituted in for y

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A rectangular prism has a width of 16 inches and a length of 10 inches. The volume of the rectangular prism is decreasing at a r

frosja888 [35]

Answer:

-3.47 inches per minute

Step-by-step explanation:

Let the height be 'h' for any time 't'.

Given:

Length of the prism (L) = 10 in

Width of the prism (w) = 16 in

The rate of change of volume of prism is, $\frac{dV}{dt}=-555\ in^3/min$ (The negative sign implies the volume decreases with time.)

Now, rate of change of height of prism = $\frac{dh}{dt}=?$

Length and width remains constant.

Now, we know that, volume of a rectangular prism is given as:

Volume = Length × width × Height

$V=Lwh\\\\V=10\times 16\times h\\\\V=160h$

Now, differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(160h)$

Plug in the given values and solve for $\frac{dh}{dt}$ . This gives,

$-555=160\times \frac{dh}{dt}\\\\\frac{dh}{dt}=\frac{-555}{160}\\\\\frac{dh}{dt}=-3.47\ in/min$

The negative sign implies the height decreases with time.

Therefore, the the rate of change, in inches per minute, of the height when the height is 3 inches is -3.47 inches per minute.

5 0

3 years ago

2 3 + 6^{2} ÷ 9 i need help with this one

creativ13 [48]

Answer: 7

Step-by-step explanation:

3+6^(2) / 9

3 + 36 / 9

3 + 4

5 0

3 years ago

What is the domain for the function below?<br> Х 1 3 5 7 Y 2 4 6 8

erma4kov [3.2K]

X is the the answerrrr

3 0

3 years ago

Please help with one question :) Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs

Butoxors [25]

Now.. notice the picture below

it has a front-and-back of 11x4
it has a left-and-right of 6x4
and a top-and-bottom of 6x11

now, if the Surface Area is less than 290in², then is cheaper to manufacture, because it uses less material to make the box

3 0

3 years ago

Read 2 more answers

A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio

Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

brainly.com/question/16450098

#SPJ4

3 0

2 years ago