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Fed [463]
3 years ago
8

What is the amplitude of y = -6 sin(37x + 4) – 2?

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

6

Step-by-step explanation:

In y = Asin(Bx + C) +D,

|A| is the amplitude

Amplitude: |-6| = 6

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A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro
Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

A_x = 3 mi\\A_y = 0

- The second motion is 5 miles at 30^{\circ} east of north, so:

B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi

So the components of the net displacement are

R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi

And so the magnitude of the net displacement is

d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

4 0
4 years ago
Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills fo
Jobisdone [24]

Answer:

H0: σ1=σ2

Ha : σ1 >σ2

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Step-by-step explanation:

The claim is  that the treatment group has errors that <em><u>vary significantly</u></em> more than the errors of the placebo group.

The claim is the alternative hypothesis and the opposite of claim is the null hypothesis.

Vary significantly means that it is greater than so we choose the alternate hypothesis of greater than and the null hypothesis will be equal to errors of the placebo group.

So the correct choice is B.

B. Upper H 0H0​:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1​:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Choice A,C and D all are incorrect.

This can be written as

H0: σ1=σ2

Ha : σ1 >σ2

5 0
3 years ago
Faye is making muffins. The recipe calls for 1/2 cup of walnuts to sprinkle on the tops of the muffins. Faye plans to put nuts o
lara31 [8.8K]

Answer:

Alright

it would be 1/4(1/2w)

Step-by-step explanation:

1/4 times 1/2 times w which is the amount of walnuts

1/2 times 1/4 equal 0.125

1/8

4 0
3 years ago
Read 2 more answers
Please help thank you BTW I ONLY HAVE 13 points so please don’t just answer to take my point because I swear I’m so close to cry
liq [111]

Answer:

Do u want the answer to all of them

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The distance d a train travels varies directly with the amount of time t that has elapsed since departure. If the train travels
Anastaziya [24]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution:

<span>distance = 475
</span>time = 9.5 hrs

<span>since distance and time varies directly
</span>
therefore in 9.5 hrs train travels 475 miles => In 1 hr train travels 475 / 9.5 miles = 50 miles
<span>and in 4 hrs train travells 50*4 i.e 200 miles </span>
6 0
3 years ago
Read 2 more answers
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