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Rina8888 [55]
2 years ago
14

Can somebody please help this is due very soon

Mathematics
1 answer:
joja [24]2 years ago
4 0

Your answer is

  1.  Slope = -1.000/2.000 = -0.500
  2. x-intercept = 7/1 = 7.00000
  3. 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

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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
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