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katrin2010 [14]
3 years ago
11

Which equations can be used to solve for acceleration? Check all that apply.

Mathematics
2 answers:
kumpel [21]3 years ago
3 0

Answer:

  • vi = vf – at
  • vf = at + vi

Step-by-step explanation:

Any equation in which a proper relation with acceleration is shown can be solved for acceleration. (The first equation improperly represents the relationship between vf, vi, and at.)

a = (vf -vi)/t

Flauer [41]3 years ago
3 0

Step-by-step explanation:

The acceleration of the object is given by the rate of change of velocity. If v_f is the final speed of the object and v_i is its initial speed. The definition of acceleration is given by :

a=\dfrac{v_f-v_i}{t}

t is the time taken

On rearranging the above equation as:

v_f-v_i=at

v_f=at+v_i

v_i=v_f-at

Hence, this is the required solution.

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X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo
lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
vodomira [7]

12x^2-75=3(4x^2-25)=3(2^2x^2-5^2)=3((2x)^2-5^2)=3(2x+5)(2x-5)\\\\\text{Used:}\ a^2-b^2=(a+b)(a-b)\\\\Answer:\ 5

8 0
3 years ago
A square has an area of 4ft. What is the length of watch side
ohaa [14]

Answer:

2

Step-by-step explanation:

square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2

6 0
3 years ago
Read 2 more answers
HELP URGENT‼️‼️
olchik [2.2K]

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

3 0
2 years ago
Read 2 more answers
A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r
Vaselesa [24]

Answer:

Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,              

\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min}  = 14\pi\ rad/min  

Solution:

From the given figure.

tan\theta=\frac{x}{5}

Substitute x = 1

tan\theta=\frac{1}{5}  -------------------(1)

Now, first we differentiate both side with respect to t.

\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})

Using chain rule.

\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt}  = (\frac{1}{5})\frac{dx}{dt}

sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute tan\theta=\frac{1}{5} from equation 1.

(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute \frac{d\theta}{dt}=14\pi

\frac{10}{9}.14\pi  = \frac{1}{5}.\frac{dx}{dt}

Applying cross multiplication rule.

\frac{dx}{dt}= \frac{700\pi }{9}

\frac{dx}{dt}= 77.78\pi

Therefore, light is moving along the shore at the speed of 77.78 km/min

6 0
3 years ago
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