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3 years ago

I need help is it A b c or d

Mathematics

2 answers:

masya89 [10]3 years ago

6 0

I believe the answer is C :)

Sedaia [141]3 years ago

6 0

I think B but we haven't done this so don't trust me :)

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If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o

Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

$v(t)=2 \sin(t) \: \: {ms}^{ - 1}$

To find the displacement function, we need to to Integrate the velocity function.

$s(t) = \int \: 2 \sin(t) dt$

$s(t) = - 2 \cos(t) + k$

At time t=0, there was no displacement.

This implies that,

$s(0) = 0$

$0= - 2 \cos(0) + k$

$0= - 2 + k$

$k = 2$

The displacement function then becomes,

$s(t) = - 2 \cos(t) + 2$

To find the displacement over the first π seconds, we put

$t = \pi$

into the equation for the displacement to get,

$s(\pi) = - 2 \cos(\pi) + 2$

$s(\pi) = - 2 ( - 1) + 2$

$s(\pi) = 2 + 2 =4 ft$

7 0

3 years ago

What is the x intercept for y=3x+4

kirill [66]

The x-intercept is (-4/3,0).

Hope that helps!

7 0

3 years ago

Read 2 more answers

Suppose that a restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average, with a standard devi

Tanya [424]

Answer:

Confidence Interval = (23.776, 24.224)

Step-by-step explanation:

Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.

⇒ Mean = 24 ounces.

Standard Deviation = 0.8

Number of bottles used for sample = 49

⇒ n = 49

Confidence level = 95%

Corresponding z value with 95% confidence level = 1.96

Now, confidence interval is given by the following expression :

$Mean \pm z^*\times \frac{\sigma}{\sqrt{n}}\\\\=24\pm1.96\times \frac{0.8}{\sqrt{49}}\\\\=24\pm 0.224$

Hence, Confidence Interval = (23.776, 24.224)

6 0

3 years ago

3. In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an e

eduard

Answer:

$78

Step-by-step explanation:

In the equation y = 2x + 40, x represents the number of months the member is a part of the club.

We are given that a certain member is part of the club for 19 months, so we substitute the number 19 in for x:

y = 2x + 40 = 2 * 19 + 40 = 38 + 40 = 78.

Thus, the total cost is $78.

Hope this helps!

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3 years ago

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While preparing his budget sheet richard Smith noticed that his annual expenses were 18800 while his monthly living expenses wer

PIT_PIT [208]

Answer:

Monthly Living Expense = 2375

Monthly Fixed Expense = 1975

Step-by-step explanation:

Let monthly living expense be "x"

and monthly fixed expense be "y"

<u>"monthly living expenses were 400 more than his monthly fixed expenses":</u>

x = 400 + y

<u>"Richard total monthly expenses were 4350":</u>

x + y = 4350

Putting Equation 1 in Equation 2:

(400 + y) + y = 4350

400 + 2y = 4350

2y = 3950

y = 1975

Now, x = 400 + y = 400 + 1975 = 2375

8 0

3 years ago