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ANEK [815]
3 years ago
8

Need an explanation

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer: Choice B

(6\sqrt{5}+5)i

==========================================================

Work Shown:

\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\

This points us to answer choice B

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What is (x − 3)(x − 5) = 35
JulijaS [17]

Answer:

x=10  x=-2

Step-by-step explanation:

(x − 3)(x − 5) = 35

FOIL

x^2 -5x-3x+15 = 35

Combine like terms

x^2 -8x+15 = 35

Subtract 35 from each side

x^2 -8x+15-35 = 35-35

x^2 -8x-20 =0

Factor

What 2 numbers multiply to -20 and add to -8

-10*2 = -20

-10 +2 = -8

(x-10)(x+2) =0

Using the zero product property

x-10 =0  x+2 = 0

x=10  x=-2

6 0
3 years ago
A group of 123 students went on a field trip to
irakobra [83]

Answer:

8.2

Step-by-step explanation:

If each student in the group collected 15 shells, we know that there are 123 students on the field trip, so we can take 123 and divide it by 15 to get 8.2 or 41/5.

7 0
3 years ago
Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%
beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.33

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

\sigma = 5, n = 100. So

M = z*\frac{\sigma}{\sqrt{n}}

M = 2.33*\frac{5}{\sqrt{100}} = 1.165

So the correct answer is:

1.165.

6 0
4 years ago
At an animal park 2/5 of the animals are felines, and 1/4 of the animals are reptiles. The rest of the animals are aquatic. What
notka56 [123]

Answer:

Felines: 40%

Reptiles: 25%

Aquatic Animals is 35%

Which means the Answer is 35%

(How you do this)

- First, Divide, the Numerator, by the Denominator and multiply it by 100.

3 0
3 years ago
Read 2 more answers
Compare the dimensions of the prisms. How many times greater is the surface area of the purple prism than the surface area of th
zysi [14]

Answer: 3 times greater

Step-by-step explanation:

Height: 4x3=12

Length: 3x3=9

Width: 3x3=9

The sides on the red cuboid times by 3 equals the sides on the purple one.

Hope this helps :)

7 0
3 years ago
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