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3 years ago

Solve for q (Please show all work thank you:))

Mathematics

1 answer:

Masja [62]3 years ago

5 0

Answer:

q = ± $\frac{5}{4\sqrt{p} }$

Step-by-step explanation:

We are to solve for q in:

16pq² = 25

q² = $\frac{25}{16p}$

$\sqrt{q^2}$ = ± $\sqrt{\frac{25}{16p} }$ = ± $\frac{5}{4\sqrt{p} }$

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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f

geniusboy [140]

Answer:

The answer is "266.5".

Step-by-step explanation:

Given value:

$115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and\ 228.$

find:

Sample mean=?

$=\frac{\text{total dental expenses}}{number \ of \ employees}$

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2 years ago

For the following system, determine if a steady state exists and give the steady state value. The population of a colony of squi

Anettt [7]

Answer:

Option A)

$\displaystyle\lim_{t\to\infty}~p(t) = k$

Step-by-step explanation:

We are given the following on the question:

$p(t) =\displaystyle\frac{4000}{4+e^{-0.02t}}$

where p(t) is the population of a colony.

For steady state solution we evaluate:

$\displaystyle\lim_{t\to\infty}~p(t)\\\\= \lim_{x\to\infty} \frac{4000}{4+e^{-0.02t}}\\\\=\frac{4000}{4+e^{-\infty}}\\\\=\frac{4000}{4}\\\\= 1000$

Thus, the steady state solution is a constant, k = 1000.

Thus, the correct answer is

Option A)

$\displaystyle\lim_{t\to\infty}~p(t) = k$

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3 years ago

The marching band at your school has 1.5 times as many trumpets as flutes. Which statement is true? these are the answers.

devlian [24]

The first one is the correct ratio.

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3 years ago

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find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

Dmitrij [34]

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

$\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)$

Solve the above equation:

$\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\$

The roots of the polynomial are as follows:

$\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n$

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

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Your answer is 15 Hope this helps!

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