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3 years ago

5

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep

resents the expected population next year?

1 answer:

DedPeter [7]3 years ago

7 0

(p/100) x 107.5
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What percent of 200 is 290

Crazy boy [7]

145%
200/200: 100%
90/200= 45%

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Find the derivative of f(x) = negative 9 divided by x at x = -4. (6 points) 4 divided by 9 16 divided by 9 9 divided by 16 9 div

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Answer:

9/16

Step-by-step explanation:

$f(x)=-\frac{9}{x}$

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$\frac{df}{dx}=nx^{n-1}$

Here, n=-1, so

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Is it possible to divide <br> 0 by 27<br> ?

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Answer:

No. Dividing by 0 is not rational, no number works.

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A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o

marta [7]

Answer:

2.20752 x $10^{24}$

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

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86,400 seconds refer to the number of seconds per day

Let's solve.

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<em>Therefore, one year has 3.1536 x </em> $10^{7}$ <em> seconds.</em>

Next, you have to know the number of seconds in 10 billion years.

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2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

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substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

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substitute the given values

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Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

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3 years ago