The square root of 80 p to the 3rd

Answers

Answer 1

Answer: √(80 p³ = √ (16 x 5 x p² x p)

You know the square roots of 16 and p , so you can take them out of the radical.

= (4p) x √(5p)

Answer 2

Answer: I added pictures, but I don't know how they'll come out when I post this. Sorry if it ends up looking weird :/
You should start by factoring the number inside the cube root/radical sign, which in this case is 80. If you remember how to do factor trees, just do that with the number 80. The p is already prime, so you don't need to worry about it at first. (see picture 1)
Now see if there are any triplets of prime numbers. In this case, there is a triplet of twos (see picture 2), so you bring down one 2 to your answer (see picture 3). If there had been two triplets, you would have brought both numbers down and multiplied them.
There should be three prime numbers left: 2, 5, and p. (see picture 4) Go back down to your answer, put a cube root/radical sign next to the 2, and put your prime numbers in the cube root/radical. You should have 2∛2·5p. 2·5 can be simplified to 10, so your final answer will be 2∛10p (see picture 5).

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How can you tell whether two fractions that look different represent the same number?

Answers

Ahhh ! That's where simplifying comes in. Before you even try to
compare the fractions, make sure each one is in simplest form.

To simplify a fraction:

-- List the factors of the numerator (the top number).
' 1 ' is always one of them.

-- List the factors of the denominator (the bottom number).
' 1 ' is always one of them.

-- If there's any OTHER number (besides ' 1 ') that's a factor of both the
top and bottom, then divide the top and bottom both by that number.

-- If there's another one, then divide the top and bottom by it.

-- Keep doing that until ' 1 ' is the only factor of both the top and bottom
numbers. Then you know that the fraction is in simplest form.

When you have simplified both fractions to their simplest form, THEN you
can compare them, and see whether they represent the same number.
If they do, then their simplest forms will both look exactly the same !

What is 2n + -3 + 7 + 9

Answers

2n + -3 + 7 + 9
Answer : 2n+13

Answer:

2+ 13

Step-by-step explanation:

2n - 3 + 7 + 9

2n + 13

The variation of kernel color in corn plants is an inherited trait. R is the dominant allele for red kernels in a corn plant and r is the recessive allele for yellow kernels. What is the probability that a corn plant with the genotype Rr crossed with a corn plant rr will have offspring with the genotype rr? Express your answer as a fraction using numerals for numbers and / for the fraction bar.

Answers

The question ask to find the probability that a corn plant with the genotype Rr crossed with a corn plant rr and will have an offspring with the genotype rr. Base on the data, the possible probability would be 25% and base on the table or the cross breeding

Final answer:

The probability of having offspring with the genotype rr when a corn plant with the genotype Rr is crossed with a corn plant rr is 100%, or 1/1.

Explanation:

The probability of having offspring with the genotype rr when a corn plant with the genotype Rr is crossed with a corn plant rr can be determined using Punnett squares.

First, write the genotypes of the parents: Rr and rr.
Create a Punnett square by writing the alleles of one parent along the top and the alleles of the other parent along the side.
Fill in the boxes of the Punnett square with the possible combinations of alleles.
In this case, all the offspring will have the genotype rr, since r is the only allele from the second parent.

Therefore, the probability of having offspring with the genotype rr is 100%, or 1/1.

Learn more about Genetics here:

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The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.

Answers

Term for an AP = a + (n-1)d.

The third term = a + (3 -1)d = a + 2d = 21

The eight term = a + (8 - 1)d = a + 7d = 56

a + 2d = 21
-
a + 7d = 56
__________
0 -5d = -35

-5d = -35

d = -35/-5

d = 7

Substitute d = 7 in a + 2d = 21

a + 2d = 21
a + 2*7 = 21
a + 14 = 21
a = 21 - 14
a = 7

The first term, a = 7.

The theater arts committee estimated that it would sell 200 tickets for its upcoming play. The committee actually sold 224 tickets. What was the percent error in the committee’s estimate? Round your answer to the nearest tenth of a percent.

Answers

First, subtract the estimated tickets that will be sold from the actual tickets sold. 200 – 224 = -24, ignore the negative sign, so the error is 24. Then, divide the error by the actual ticket sold, 24/224= 0.1071 and multiply the answer by 100 to get the percentage. So, the percentage error is 10.7%.

Divide £56 in a ratio of 5:3

Answers

$1.43 is equal to £1

so...

1.43*56 would be $80.84

this would be around...$7.98 in US currency

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