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3 years ago

Find the values of a through e that make these two relations inverses of each other.

Mathematics

1 answer:

Murljashka [212]3 years ago

6 0

Answer:

-1.4 1,0,-0.2 so this is the solution for this problem

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The cost for a certain music plan is $9.99 per year plus $0.25 per song you downloaded. If you paid $113.74 one year, find the n

vlabodo [156]

They downloaded 415 songs. You can find this solution if you subtract 9.99 from 113.74 then divide that answer by 0.25

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2 years ago

Read 2 more answers

In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

natka813 [3]

Answer:

$P(t) = 5100e^{0.0039t}$

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

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

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that $P(0) = 5100$

$P(t) = 5100e^{rt}$

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that $P(5) = 5200$ .

We use this to find r.

$P(t) = 5100e^{rt}$

$5200 = 5100e^{5r}$

$e^{5r} = \frac{52}{51}$

$\ln{e^{5r}} = \ln{\frac{52}{51}}$

$5r = \ln{\frac{52}{51}}$

$r = \frac{\ln{\frac{52}{51}}}{5}$

$r = 0.0039$

So the equation for the moose population is:

$P(t) = 5100e^{0.0039t}$

5 0

2 years ago

Graph y-4=2x and identify<br> the slope and y-intercept.

zzz [600]

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

7 0

2 years ago

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Jackson eats 3/4 cup of food in the morning and 3/4 cup of food at night. How many cups of food does Jackson eat in 5 days

Sonja [21]

Answer:

Jackson eats 15/2 cups of food in 5 days.

Step-by-step explanation:

If Jackson eats 3/4 of food in the morning and at night then he eats 3/2 of food a day or 1.5 cups of food a day.

1.5*5 = 7.5

3/2*5=15/2

Hope this helps!!

5 0

2 years ago

Read 2 more answers

4sinθ – 1 = - 3 for 0<θ< 360

EastWind [94]

Answer:

$\theta = 210^\circ$ or $\theta = 330^\circ$

Step-by-step explanation:

$4 \sin \theta - 1 = -3$

$4 \sin \theta = -2$

$\sin \theta = \dfrac{-2}{4}$

$\sin \theta = -0.5$

For sin θ = 0.5, the reference angle is θ = 30 deg.

$\sin 30^\circ = 0.5$

$\theta = 210^\circ$ or $\theta = 330^\circ$

7 0

3 years ago