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otez555 [7]
3 years ago
7

He just completed question 24 on a test. He is 30% complete. How many questions are on test?

Mathematics
1 answer:
mestny [16]3 years ago
6 0
80 questions... 24 divided by .3
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Given () = −^3 + 2^2 +(3/2) be the position of a particle moving along the x-axis at time t. At what time will the instantaneous
cestrela7 [59]

Answer:

5.266 secs

Step-by-step explanation:

Lets assume ; p(t) = t^-3 + 2^2 + ( 3/2 ) is the particle position along x-axis

time interval [ 0, 4 ]

Average velocity = Displacement / time

                            = p( b ) - p( a ) /  b - a -------- ( 1 )

where a = 0 , b = 4 ( time intervals )

Back to equation 1

Average velocity = [ ( 4^-3 + 4 + (3/2) ) - ( 0 +  4 + (3/2) ) ] / 4

                             = 3.9 * 10^-3 ----- ( 2 )

Instantaneous velocity = d/dx p(t)

                                      = - 3/t^4  ------ ( 3 )

To determine the time that the instanteous velocity = average velocity

equate equations (2) and (3)

3.9*10^-3 = - 3 / t^4

t^4 = - 3 / ( 3.9 * 10^-3 ) = - 769.231

hence t = \sqrt[4]{- 769.231 } = 5.266 secs

we ignore the negative sign because time can not be in the negative

4 0
3 years ago
Find the Total Surface Area and the Volume of these shapes:
fiasKO [112]

Answer:

6156

Step-by-step explanation:

formula is TSA=2LW+2LH+2HW

7 0
3 years ago
Which number is a rational number?
nasty-shy [4]

Answer:

B. 2.6457513110...

and

C. 17.156

Step-by-step explanation:

A rational number is an integer, fraction, terminating decimal, or repeating decimal.

hope this helps!

brainliest appreciated:)

7 0
2 years ago
Read 2 more answers
it was recently estimated that domestic vehicles out numberforegin vehicles by about six to five. if there are 2673 vehicles in
klio [65]

The question is an example of a ratio problem. This implies that

\begin{gathered} \text{Domestic vehicles ratio=6} \\ \text{Foreign vehicles ratio=5} \\ Sum\text{ of vehicles ratio =5+6=11} \end{gathered}

Therefore, le the number of domestic vehicles be x. We can say that;

\begin{gathered} \frac{6}{11}=\frac{x}{2673} \\ 11x=16038 \\ x=\frac{16038}{11} \\ x=1458 \end{gathered}

Answer: 1458

7 0
1 year ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the
rjkz [21]

Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
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