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3 years ago

Are the triangles similar? If so, determine the scale factor of POR and EFD? A) No B) Yes; 2:1 C) YES;4:5 D) Yes; 17:10

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

4 0

Answer:

C) yes

Step-by-step explanation:

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The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago

Three of the choices are unit rates for the price of milk. which choice is not?$1.00 per 8 ounces$1.30 per pint$3.47 per gallon$

Sedbober [7]

$1.00 per 8 ounces, since it isn't in the simplest form (which isn't a unit rate)

7 0

3 years ago

1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?

yuradex [85]

Do u mean d?

1.5d +3.25 = 1 +2.25d
3.25 = 1 + .75d -1.5d on both sides
2.25 = .75d subtraction 1 on both sides
3 = d divide both sides by .75

3 0

3 years ago

SOMEONE HELP!!!!!!!!!!!!!!!

s344n2d4d5 [400]

Answer:

Q= 5c

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the result of subtracting the secound equation from the first -4x-2y=-2 x-2y=9

crimeas [40]

Answer:

When we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

Step-by-step explanation:

Given

The first equation

$-4x-2y=-2$

The second equation

$x-2y=9$

Let us subtract the second equation from the first equation

$-4x-2y=-2$

$-$

$\:\underline{x-2y=9}$

$-4x - 2y - (x - 2y) = -2 - 9$

$-4x -2y -x + 2y = -2-9$

$-5x = -11$

divide both sides by -5

$\frac{-5x}{-5}=\frac{-11}{-5}$

Simplify

$x=\frac{11}{5}$

Thus, when we subtract the second equation x-2y=9 from the first equation 4x-2y=-2, we get the value of x = 11/5.

Therefore, the required result is:

x = 11/5

6 0

2 years ago