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Ket [755]
2 years ago
15

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2​

Mathematics
1 answer:
allsm [11]2 years ago
4 0

Step-by-step explanation:

\frac{6x^{2}y^{3}}{3xy}

If it helps, write as a product of fractions, grouped by variable.

\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}

Now reduce using exponent rules.

2xy^{2}

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Alex flips a fair coin four times. What is the probability that he flips heads four times in a row?
sdas [7]

1/16

the probability of flipping head on the first flip is 1/2

the probability of flipping head on the second flip is 1/2 of that, or 1/4

the probability of flipping head on the third flip is 1/2 of that, or 1/8

the probability of flipping head on the fourth flip is 1/2 of that, or 1/16

4 0
2 years ago
An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)
tresset_1 [31]

bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

\bf a_n=(-1)+(n-7)(-4)\implies a_n=-1+(-4n+28)\implies a_n=27-4n

4 0
3 years ago
Read 2 more answers
A $150 MP3 player is marked down by 12%. What is the final price?
Nutka1998 [239]
150*.12=answer
150-answer=final answer

8 0
3 years ago
Read 2 more answers
Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int
Talja [164]

Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

Formula :A=P(1+r)^t

A=5000(1+0.04)^3

A=5624.32

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 2

Formula : A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{2})^{2 \times 3}

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{4})^{4 \times 3}

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula :A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{12})^{12 \times 3}

A=5636.359

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

8 0
3 years ago
Amanda has 15 coins in her pocket. Of these, 8 are quarter. What is ratio of quarters to coins in Amanda's pocket?i
deff fn [24]
8:15 or 8 to 15 would be the ratio because you compare 8 quarters to 15 coins.
5 0
3 years ago
Read 2 more answers
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