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suter [353]
3 years ago
15

What is volume, and how is it measured?

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

Volume is the amount of space taken up by an object, while capacity is the measure of an object's ability to hold a substance, like a solid, a liquid or a gas.

Step-by-step explanation:

Volume is measured in cubic units, while capacity can be measured in almost every other unit, including liters, gallons, pounds, etc.

- - - - - -

If this helps please mark brainliest <3

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Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}
Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}

7 0
3 years ago
Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question: graph of x cubed minus 3 x squared minu
Marina CMI [18]

The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: (-1)^3-3(-1)^2-(-1)+3=0. That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y: (2)^3-3(2)^2-(2)+3=-3. The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points: \frac{-3-0}{2-(-1)}=\frac{-3}{3}=-1. Therefore, the average rate of change between x = -1 and x = 2 is -1

6 0
3 years ago
Please help!! 40 points x
Alika [10]

Answer: x = 7

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can sum1 do this for me
Ierofanga [76]

Hey the picture is blurry can u take another one plz
5 0
2 years ago
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