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3 years ago

Determine if the function is linear. if it is, find the rate of change

Mathematics

1 answer:

Softa [21]3 years ago

7 0

The function is linear and the rate of change is 6

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What is the volume of a can of beans with a height of 20 cm. And a radius of 12 cm? Use 3.14 to approximate π. Express your answ

Law Incorporation [45]

Answer:

9043.2 cm³

Step-by-step explanation:

V = Ab×h

= π·r²×h

= 3.14×12²×20

= 62.8×144

= 9043.2 cm³

3 0

3 years ago

Calculating area of rectangle

PSYCHO15rus [73]

Answer:

$Area = 216.108cm^2$ --- You

$Area = 216.940cm^2$ --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

$Length = 20.70cm; Width =10.44cm$

Another students'

$Length = 20.74cm; Width =10.46cm$

Solving (a): The area

Area is calculated as:

$Area = Length * Width$

For you

$Area = 20.70cm * 10.44cm$

$Area = 216.108cm^2$

For the other student

$Area = 20.74cm * 10.46cm$

$Area = 216.940cm^2$

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

4 0

3 years ago

Given the point (2,3) and the slope of 4 ,find y when x=22

Mariulka [41]

Y - y₁ = m(x - x₁)
y - 3 = 4(22 - 2)
y - 3 = 4(20)
y - 3 = 80
+ 3 + 3
y = 83

4 0

4 years ago

Read 2 more answers

Suppose that D(r) is a function which gives the population density, in hundreds of people per square mile, within r miles of the

borishaifa [10]

Answer:

a) T(r) = r.D(r)

b) 975 people per square mile.

Step-by-step explanation:

(a)

The units of D(r) are

$\frac{hundreds\;of\;people}{mile^2}$

when multiplying the density by the area we get the amount of people in that area, so

$T(r)=rmile^2D(r)\frac{hundreds\;of\;people}{mile^2}=rD(r)\;hundreds\;of\;people$

(b)

The average rate of change of T(r) over the interval [5,7] is

$\frac{T(7)-T(5)}{7-5}=\frac{7D(7)-5D(5)}{2}$

but D(7) = 350 and D(5) = 100, so

$\frac{7D(7)-5D(5)}{2}=\frac{7*350-5*100}{2}=975$

and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.

5 0

4 years ago

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven

VladimirAG [237]

Answer:

it's AAAAAAAAAAAAAAAAAAA

5 0

3 years ago