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2 years ago

5

Of 200 Boston residents surveyed, all but 18 were born in Massachusetts. What percent of the residents surveyed were not born in

Massachusetts?

1 answer:

Sonja [21]2 years ago

4 0

91 percent were not born in massachusetts

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Factor<br> 80x5-70x2 60x?

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Answer:

200(−91x+2)

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A bathtub is being filled with water. After 10 minutes, there are

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Everyone in the kingdom of Egypt was under the control of the pharaoh and it was believed that the pharaoh must obey the wishes of the ________.

Priests

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No one

Gods

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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)

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The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

f(x) = 3x + 1

g(x) = x² - 6

Now,

(f - g)(x) = f(x) - g(x)

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= 3x + 1 - x² + 6

(f - g)(x) = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

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The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

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Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

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Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

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2 years ago

Use the drawing tool(s) to form the correct answer on the provided graph. Graph the solution to this system of inequalities in t

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The solution to the system of inequalities is (-3.375, 1.75)

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The system of inequalities is given as:

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From the graph, both inequalities intersect at

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Hence, the solution to the system of inequalities is (-3.375, 1.75)

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