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3 years ago

Draw the line passing through the point (0,2) with a slope of -1

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Answer:

y = -x + 2

Step-by-step explanation:

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A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential

stepan [7]

We assume the annual percentage increase is the same. We will work out the constant k using the formula

We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)

Substitute into the formula
$76=72e^{6k}$
$\frac{76}{72}=e^{8k}$
Take log both sides give
$ln( \frac{76}{72})=ln(e^{6k})$
$0.05406722127=6k$
$k=0.009$

We can now work out the number of population by the end of 2012 using the formula

We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)

$P=72e^{0.009*10}$ $P=78.78$ ≈79 million

7 0

3 years ago

The x-coordinate of the point that contains the ___?___ is always 0.

iogann1982 [59]

The answer is the y- intercept.

The point where a graphed line crosses the x axis at 0 is the y-intercept of the graph.

7 0

3 years ago

A cylinder has a volume of 72 cubic inches. What iis the volume of a cone with the same height and radius as the cylinder?

lana66690 [7]

24, because the volume of a cone with the same radius and height of a cylinder with the same dimensions is always 1/3 the volume of the cylinder.

5 0

3 years ago

27,490 to the nearest ten thousand

miv72 [106K]

Answer:

is the comma supposed to be a decimal point?

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Seven h

Arisa [49]

Answer:

Step-by-step explanation:

Suppose the dimensions of the playground are x and y.

The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is

A=x*y= x*(390-3/2x)=-3/2 x^2+390x

Calculating the derivative of A and setting it equals to 0 to find the maximum

A'= -3x+390=0

This yields x=130.

Therefore y=780/2-3/2*130=195

Thus, the maximum area is 130*195=25,350ft^2

8 0

3 years ago