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timofeeve [1]
4 years ago
14

It is given that y is directly proportional tox.

Mathematics
1 answer:
-Dominant- [34]4 years ago
8 0

Answer:

k = - 4

Step-by-step explanation:

The equation that represents direct proportion is

y = kx ← k is the constant of proportion

To find k use any ordered pair from the table.

Using (2, - 8 ) , then

- 8 = 2k ( divide both sides by 2 )

k = - 4

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A bullet with a mass of 0.005 kg is shot at a speed of 40
marin [14]

Answer:

combined velocity of the system = 0.033 m/s.

Step-by-step explanation:

taking the bullet and block as single system since there is no external force involved momentum is conserved .

initial momentum of the bullet = mv

where m is the mass of bullet and v is velocity of bullet.

and initial momentum of block = 0 since its velocity is 0.

therefore initial momentum of the system = mv

                                                                      = 0.005×40

                                                                      = 0.2

when the bullet stick of together with the block let the combined velocity of the system be V

therefore applying conservation of momentum

mv = (M+m)V

0.2=(6+0.005)V

therefore V = 0.033 m/s

7 0
3 years ago
how much would you need to deposit in an account now in order to have 6000 in the account in 8 years. assume the account earns 6
Katen [24]
<h3>Answer:</h3>

$3,717.14

<h3>Step-by-step explanation:</h3>

Compound interest is the interest on the principal funding as well as the interest itself.

Compound Interest Formula

Compound interest can be solved by plugging known values into a formula.

  • A = P(1 + \frac{r}{n})^{nt}

In this formula, the variables stand for different values.

  • A = total amount
  • P = principal amount
  • r = rate as a decimal
  • n = times compounded per time period
  • t = time

So, for this question, we can plug in the values we are given and solve for P.

Identifying Known Values

First, let's find the exact numbers we are going to plug in.

  • 6000 is the final amount we want, so A = 6000.
  • 6%, the rate, is 0.06 as a decimal, so r = 0.06.
  • Since interest is compounded each month per year, n = 12.
  • The total time is 8 years, so t = 8.

Solving For P

Now we can plug all of these values in.

  • 6000=P(1+\frac{0.06}{12})^{12*8}

First, simplify the values within the parentheses and in the exponent through arithmetic.

  • 6000 = P(1.005)^{96}

Next, divide both sides by 1.005^{96}

  • 3717.14 ≈ P

*Note that the answer has been rounded to the nearest hundredth.

This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.

6 0
2 years ago
( BONUS POINTS PLEASE HELP ) the bases of a trapezoid are 24 ft and 6ft the height of the trapezoid is 12 ft what is the area of
klasskru [66]

Answer:

1728

Step-by-step explanation:

I cant understand the question that well but i think this is the right one

5 0
3 years ago
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The jar shown below is 2/5 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity
serious [3.7K]

Answer:

1250 ml

Step-by-step explanation:

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3 years ago
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Find the number of digits in the square root of 740200625 PLS ANSWER FAST​
lisov135 [29]

Answer:

740200625 square rooted equals

25 \sqrt{1184321}

5 0
3 years ago
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