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3 years ago

Alex bikes 2 3/4 miles. Then, she runs 1 2/4 miles. The distance she bikes is how many times the distance she runs?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Answer:

2 1/5

Step-by-step explanation:

2 3/4 divided by 1 2/4=2 1/5

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2 6

Irina18 [472]

I think it is -2288 something like that

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3 years ago

Linear or nonlinear

Wittaler [7]

Answer:

Linear

Step-by-step explanation:

It increases by a steady rate, so it is linear.

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3 years ago

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

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3 years ago

Two roots of a 3 degree polynomial equation are 5 and-5

notka56 [123]

Hello,

I suppose you want the equation

There are 2 infinite solutions:
y=k(x-5)²(x+5)
or
y=k(x-5)(x+5)²

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3 years ago

Divide 32x3+48x2-40x by 8x

gregori [183]

Answer:16.5

Step-by-step explanation:

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3 years ago