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3 years ago

The expression (3x^3y^2)^3is equivalent to

Mathematics

1 answer:

dsp733 years ago

8 0

Answer:

The expression is equivalent to 27 x⁹ y⁶.

Step-by-step explanation:

Please mark me brainliest, if I helped.

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Assume that long earlobes in humans are an autosomal dominant trait that exhibits 30% penetrance. A person who is heterozygous f

Bess [88]

Answer:

0.75

Step-by-step explanation:

Autosomal dominant: A pattern of inheritance in which an affected individual has one copy of a mutant gene and one normal gene on a pair of autosomal chromosomes

Heterozygous just means that a person has two different versions of the gene (one inherited from one parent, and the other from the other parent).

Being homozygous for a particular gene means you inherited two identical versions.

The trait is autosomal dominant so the characters pass into the next generation in a large ratio. the person who is heterozygous for the character have two type of allele which represents the trait for long earlobes and also for short earlobe.So a person is paired with homozygous individuals who have pure character for short earlobes.The percentage of their first child with long earlobes would be 75 percent. This is due to the dominance of the character in a generation.

3 0

3 years ago

4x + 9 + = 24 matematicas

Harlamova29_29 [7]

Answer:

3.75

Step-by-step explanation:

4x+9=24

4x=24-9

4x=15

x=15/4

x=3.75

7 0

3 years ago

A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an

Snowcat [4.5K]

Answer:

$\cos\theta=\frac{10}{\sqrt{116}}$

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

$\cos\theta$ is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let $c$ represent the length of the hypotenuse):

$10^2+4^2=c^2$

$100+16=c^2$

$116=c^2$

$c=\sqrt{116}$

Thus, we know the adjacent is 10, and the hypotenuse is $\sqrt{116}$ . This means $\cos\theta=\frac{10}{\sqrt{116}}$ .

Hope this helps!

5 0

3 years ago

-8, 1, 10...<br> n<br> What is a formula for the ninth term of the given sequence

krek1111 [17]

9514 1404 393

Answer:

a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

an = -8 +9(n -1) . . . . formula for the n-th term

Then the formula for the 9th term is ...

a9 = -8 +9(9 -1)

6 0

3 years ago

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions provid

wel

Answer:

Wyatt wrote the correct expression

Step-by-step explanation:

Here we are to evaluate which of the students wrote an expression with the highest common factor being 8c

For Tanya; 32c + 16c; 16c( 2 + 1); This is wrong as the highest common factor is 16c

For Wyatt, we have 8c - 48cd; factorizing, we have 8c(1-6cd); This is correct

For Xavier we have 36c-24c; 8 is not a factor of 36, so it won’t work

For Yang 8c + 40; 8(c+ 5); what we are trying to look for is 8c and not 8 so this is wrong also

3 0

3 years ago

Read 2 more answers