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2 years ago

14

Can somebody please help this is due very soon

1 answer:

joja [24]2 years ago

4 0

Your answer is

Slope = -1.000/2.000 = -0.500
x-intercept = 7/1 = 7.00000
y-intercept = 7/2 = 3.50000

Step-by-step explanation:

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jonna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. each serving is 1/16 gallon. how many se

zubka84 [21]

Jonna can make 12 servings because 1/4 plus 1/2 equals 3/4 which is equal to 12/16.

6 0

3 years ago

a. If cosθ=−45 where θ is in quadrant 3, find sin2θ. b. If cosθ=2√2 where θ is in quadrant 1, find cos2θ. c. If sinθ=817 where θ

sesenic [268]

Answer:

Part A) $sin(2\theta)=\frac{24}{25}$

Part B) $cos(2\theta)=0$

Part C) $tan(2\theta)=-\frac{240}{161}$

Step-by-step explanation:

Part A) we have $cos(\theta)=-\frac{4}{5}$

θ is in quadrant 3 ----> the sine is negative

Find $sin(2\theta)$

we know that

$sin(2\theta)=2sin(\theta)cos(\theta)$

Remember that

$cos^{2} (\theta)+sin^{2} (\theta)=1$

substitute

$(-\frac{4}{5})^{2}+sin^{2} (\theta)=1$

$(\frac{16}{25})+sin^{2} (\theta)=1$

$sin^{2} (\theta)=1-\frac{16}{25}$

$sin^{2} (\theta)=\frac{9}{25}$

$sin(\theta)=-\frac{3}{5}$ ---> remember that the sine is negative (3 quadrant)

Find $sin(2\theta)$

we have

$cos(\theta)=-\frac{4}{5}$

$sin(\theta)=-\frac{3}{5}$

$sin(2\theta)=2sin(\theta)cos(\theta)$

substitute

$sin(2\theta)=2(-\frac{3}{5})(-\frac{4}{5})$

$sin(2\theta)=\frac{24}{25}$

Part B) we have $cos(\theta)=\frac{\sqrt{2}}{2}$

θ is in quadrant 1

Find $cos(2\theta)$

we know that

$cos(2\theta)=2cos^{2} (\theta)-1$

substitute

$cos(2\theta)=2(\frac{\sqrt{2}}{2} )^{2}-1$

$cos(2\theta)=0$

Part C) we have $sin(\theta)=\frac{8}{17}$

θ is in quadrant 2 ----> the cosine is negative

Find $tan(2\theta)$

we know that

$tan(2\theta)=\frac{2tan(\theta)}{1-tan^{2} (\theta)}$

Remember that

$cos^{2} (\theta)+sin^{2} (\theta)=1$

substitute

$cos^{2} (\theta)+(\frac{8}{17})^{2}=1$

$cos^{2} (\theta)=1-\frac{64}{289}$

$cos^{2} (\theta)=\frac{225}{289}$

$cos(\theta)=-\frac{15}{17}$

Find $tan(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

substitute

$tan(\theta)=\frac{(8/17)}{(-15/17)}$

$tan(\theta)=-\frac{8}{15}$

Find $tan(2\theta)$

$tan(2\theta)=\frac{2tan(\theta)}{1-tan^{2} (\theta)}$

substitute

$tan(2\theta)=\frac{2(-\frac{8}{15})}{1-(-\frac{8}{15})^{2}}$

$tan(2\theta)=\frac{(-\frac{16}{15})}{1-(\frac{64}{225})}$

$tan(2\theta)=\frac{(-\frac{16}{15})}{1-\frac{64}{225}}$

$tan(2\theta)=\frac{(-\frac{16}{15})}{\frac{161}{225}}$

$tan(2\theta)=-\frac{240}{161}$

3 0

3 years ago

PLEASE HELP QUICKLY!<br> Which of these tables represents a linear function?

Julli [10]

The second table represents it correctly

6 0

3 years ago

A number cube has sides numbered 1 through 6 the probability of rolla 2 is 1/6 what is the probability of not rolling a 2

Furkat [3]

Answer:

5/6

Step-by-step explanation:

It would be 5/6 because there are 5 possible answers other than 3 making it 5/6

5 0

3 years ago

Evaluate each expression for the given value.<br><br> b3 when b = 1.1

olchik [2.2K]

Answer:

3.1 you didn't give me an equation

Step-by-step explanation:

anyways listen to Lewis Capaldi - Hold Me While You Wait.You probably wont like it cause it isint rap but I hope you understand the meaning behind it.

b3=1.1

I am bad at math

2.72 repeated

kk i figured it out

1.1 times 1.1 times 1.1

1.331

3 0

3 years ago