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Oliga [24]
3 years ago
8

A car starts at rest and accelerates for 8 s at a rate of 3 m/s ^ 2 What is the final velocity of the car?

Mathematics
1 answer:
Bumek [7]3 years ago
7 0
8m/2.6. Wisehehehbehehehdhudur
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Nancy wants to sell 54 CD'S to her 6 friends for 5.00 each. How much will Nancy receive from selling her CD's? If each friend bu
alekssr [168]

Answer:

she will make $270 and each friend buys 9 CD's

Step-by-step explanation:

To find the money she makes take the CDs and multiply it times the money each one costs. To find the amount each friend buys divide the cds by th amount of friends

8 0
3 years ago
Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
A drink is made by mixing 650 ml of water with 150 ml of fruit juice.
Luda [366]
<h2>○=> <u>Correct answer</u> :</h2>

\boxed{\color{hotpink}\tt18.75\%} of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

=\tt 650 + 150

\color{plum}=\tt 800 \: ml

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

=  \tt\frac{x}{100}  \times 800 = 150

= \tt \frac{x \times 800}{100}  = 150

=\tt  \frac{800x}{100}  = 150

=\tt 8x = 150

=\tt x =  \frac{150}{8}

\hookrightarrow\color{plum} \bold{x = 18.75\%}

Then, the percentage of water in the drink :

= \tt100 - 18.75

\color{plum}= \tt81.25\%

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0
3 years ago
Read 2 more answers
A small telescope magnifies
WARRIOR [948]

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

  • small telescope = 150 times
  • large telescope = 3300

<h3>Division of Numbers</h3>

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

x = \frac{3300}{150}=22

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

brainly.com/question/7068223

4 0
2 years ago
Can someone please help me with this question​
LekaFEV [45]

Answer:

16 the answer

Step-by-step explanation:

5 0
3 years ago
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