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4 years ago

Math question down below

Mathematics

2 answers:

allsm [11]4 years ago

6 0

Add them all = -16
-16/8 = -2

answer
-2 in

SIZIF [17.4K]4 years ago

5 0

To get the average, you must add all together and divide by the amount of numbers there are

(-4 - 6 - 3 - 1 + 0 + 2 - 1 - 3)/ 8

(-16)/8 = -2

-2 is your average

hope this helps

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the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

$\dfrac{\mathrm dV}{\mathrm dt}=\pi r^2\dfrac{\mathrm dh}{\mathrm dt}$

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

8 0

3 years ago

Which fractions are greater than -5/16 ?

AlladinOne [14]

-5/16

Our choices:-

A.-3/8

B.-11/12

C.-1/4

<span> D.-1/8
</span>
Let us get all of them with a LCD

-1*2 = -2
8*2 = 16

-2/16 is not bigger than -5/16

-11/12 is bigger than -5/16 because half of 16 is 8.

-1*4 = -4
4*4= 16

-4/16 is not bigger than -5/16

-1/8 is smaller than -5/16

Final answer: -11/12 is the only fraction bigger than -5/16

3 0

3 years ago

Read 2 more answers

The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.

baherus [9]

Answer:

9514 1404 393

Answer:

C The unit rates are the same.

Step-by-step explanation:

The rate of change for the equation is the coefficient of x: 4.5.

The rate of change for the table is computed as described in the problem statement:

unit rate of change = ∆y/∆x = (18-9)/(4 -2) = 9/2 = 4.5

The unit rates are the same.

Step-by-step explanation:

4 0

3 years ago

If the distance between the points (2, -2) and (1, x) is 5 one of the values of x is

son4ous [18]

Answer:

2.899

Step-by-step explanation:

The formula for calculating the distance between two points P(x1, y1) and (x2, y2) is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the points (2,-2) and (1,x) and the distance between the point as 5, we are to get x. To get x we will substitute the points and the distance given into the formula.

Given x1 = 2, y1 = -2, x2 = 1, y2 = x and D = 5

On substitution:

5 = √(1-2)²+(x-(-2))²

5 = √1²+(x+2)²

5 = √1+(x+2)²

Square both sides of the equation

5² = (√1+(x+2)²)²

25 = 1+(x+2)²

(x+2)² = 25-1

(x+2)² = 24

Square both sides

√(x+2)² = √24

x+2 = √24

x = √24- 2

x = 4.899-2

x = 2.899

Hence the other value is 2.899

7 0

3 years ago

How do you distribute this <br><br>(x+5)(x+10)

topjm [15]

Answer: x^2+10x+5x+50 = x^2+15x+50

Step-by-step explanation:

Basically, use something called FOIL. It stands for first, outer, inner, last. Basically multiply the first x, by the first x in the second parenthesis. Then multiply that x by the outer x in the second parenthesis. After that, multiply the 5 by the inner x. Then the five by the ten.

4 0

3 years ago

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