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3 years ago

7

Kelly simplified this power of a product.

2 answers:

ehidna [41]3 years ago

7 0

Answer:

D

Step-by-step explanation:

Natalija [7]3 years ago

5 0

Answer:

the answer is D

Step-by-step explanation:

i got it right

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Related questions:

vagabundo [1.1K]

Answer:

a. 5/9

b. 1 1/5

c . 1/28

d. 3/10

Step-by-step explanation:

Related questions:

find the product by calculation

a. 5× 1/9

= 5/9

b. 2× 3/5

= 6/5 = 1 1/5

c. 1/7× 1/4

= 1/28

d. 3/4× 2/5

= 6/20

= 3/10

3 0

3 years ago

Factor 4x^4+7x^2-2=0

natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.

Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.

Then the roots are:

-7 plus or minus √81

p= --------------------------------

8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0

3 years ago

3k^2-11k-4=0 solve with quadratic formula

lawyer [7]

It should be k= 4 or -1/3

8 0

3 years ago

What is the length of the unknown leg

likoan [24]

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the unknown leg

$a^{2} +b^{2}=c^{2}$

Since we need to solve for a, we will manipulate the equation in terms of b and c → $a=\sqrt{c^{2}-b^{2} }$

Here, b = 7 mm and c = $\sqrt{85}$ mm

Plugging these numbers into our equation gives us $a=\sqrt{(\sqrt{85})^{2} -(7)^{2} }$ → $\sqrt{85-49}$ = $\sqrt{36}$ = 6 mm

6 0

3 years ago

40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in

Harrizon [31]

Answer:

a) 56.67% probability that the student is a woman

b) 16.67% probability that the student received an A

c) 63.33% probability that the student is a woman or received an A.

d) 83.33% probability that the student did not receive an A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

30 students

13 men

17 women

2 men that got an A and 11 men that did not get an A.

3 women that got an A and 14 women that did not get an A.

a. Find the probability that the student is a woman.

30 students, of which 17 are women.

$P = \frac{17}{30} = 0.5667$

56.67% probability that the student is a woman

b. Find the probability that the student received an A.

30 students, of which 5 received an A

$P = \frac{5}{30} = 0.1667$

16.67% probability that the student received an A

c. Find the probability that the student is a woman or received an A.

30 students, of which 17 are women and 2 are men who received an A. So

$P = \frac{19}{30} = 0.6333$

63.33% probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

30 students, of which 25 did not receive an A.

$P = \frac{25}{30} = 0.8333$

83.33% probability that the student did not receive an A.

7 0

3 years ago