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Svetllana [295]

4 years ago

15

Two coins have a radii of 3 cm and 1 cm the smaller coin rolls along the circumference of the fixed larger coin until the smalle

r coin returns to its original position. How many revolutions has the small coin made?

1 answer:

dezoksy [38]4 years ago

6 0

I think you have to do 3cm/1cm

I think the small coin makes 3 revolution

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Please help I can’t get a penalty

valentinak56 [21]

4+4v = 3v +4

------- = -----------

-3 2

use cross products

(4+4v) *2 = -3*(3v+4)

distribute

8+8v = -9v-12

add 9v to each side

8+17v = -12

subtract 8 from each side

17v = -20

divide by 17

v = -20/17

6 0

3 years ago

Read 2 more answers

If p(x) = 2x-4 and q(x)= x -3 what is (p o q)(x)

Fittoniya [83]

You replace the x in p(x) by x - 3:-

(p o q)(x) = 2(x - 3) - 4

= 2x - 10 (answer)

6 0

4 years ago

I’m horrible at math lol

Svetradugi [14.3K]

The answer is A I am pretty sure. This is because in choice B, you would be dividing 7 and the sum of x + 5. In choice C you would not be multiplying 7 and the sum of x + 5. When he question asks for the product, it is asking for you to multiply. In choice D you would not just be squaring y, you would be squaring 2xy, which is not what we want. We only want to square y, therefore I believe the correct answer is A.

6 0

3 years ago

Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac

skad [1K]

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

6 0

3 years ago

QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will

Len [333]

The contribution of the friend's company is of: $60.

The account's balance after 20 years will be of: $130,694.36.

The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.

The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

The meaning of each parameter is explained as follows:

P is the total month deposit.

r is the interest rate.

n is the number of coupoundings per period, that is, compoundings per year.

t is the number of years.

The deposits will be of:

Friend: $120.

Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

$B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}$

B = $130,694.36.

The total deposits will be of:

Friend: 120 x 20 x 12 = $28,800.

Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

#SPJ1

3 0

1 year ago