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3 years ago

Help math beats me up in dark alleys

Mathematics

1 answer:

andriy [413]3 years ago

3 0

Replace x with 3:

f(x) = 20(0.5)^x

f(3) = 20(0.5)^3

First do 0.5^3 = 0.125

Now multiply that by 20:

20 x 0.125 = 2.5

f(3) = 2.5

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Find the exact value of cos(theta) for an angle (theta) with tan (theta)= -2/3 and with its terminal side in Quadrant II.

Naya [18.7K]

Answer:

$-\frac{3\sqrt{13}}{13}$ .

Step-by-step explanation:

Since we are in quadrant two, cosine value is negative while sine value is positive.

We are going to use the Pythagorean Identity: $1+\tan^2(\theta)=\sec^2(\theta)$ .

$1+(\frac{-2}{3})^2=\sec^2(\theta)$

$1+\frac{4}{9}=\sec^2(\theta)$

$\frac{9+4}{9}=\sec^2(\theta)$

$\frac{13}{9}=\sec^2(\theta)$

$\pm \sqrt{\frac{13}{9}}=\sec(\theta)$

$\pm \frac{\sqrt{13}}{3}=\sec(\theta)$

Since cosine and secant are reciprocals then they will have the same sign as along as they both exist.

$\sec(\theta)=-\frac{\sqrt{13}}{3}$

$\cos(\theta)=-\frac{3}{\sqrt{13}}$ .

I don't see this answer as I'm going to rationalize the denominator.

$\cos(\theta)=-\frac{3}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$ .

$\cos(\theta)=-\frac{3\sqrt{13}}{13}$ .

8 0

4 years ago

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During play, a ball with a diameter of 3.00 inches splits exactly in half. What is the volume of each portion of the ball?

Luba_88 [7]

Answer:

7.05 in^3

Step-by-step explanation:

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V = (4/3)(3.14)(1.5^3)

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Now divide by 2 for 1/2 of the ball.

V/2 = 14.10 = 7.05

= 7.05 in^3

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3 years ago

a teapot is 1/3 full of tea, when all of the tea is poured into an empty container, the container is 2/3 full. what fraction of

777dan777 [17]

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2c=t divide both sides by 2

c=t/2

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3 years ago

How many solutions does the following equation have: <br> 16y + 7 = -3y + 10 + 8y

joja [24]

Answer:

one solution only

Step-by-step explanation:

16y + 7 = -3y + 10 + 8y

16y + 3y - 8y = 10 - 7

11y = 3

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948/10 to the third power

Fantom [35]

The answer is 0.948
Enjoy your day/night!

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