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olga_2 [115]
3 years ago
13

Which of the following is equivalent to sqrt-75

Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0

Answer:

D.

Step-by-step explanation:

\sqrt{-75} = \sqrt{-1 \times 75} = \sqrt{-1 \times 25 \times 3} = 5i\sqrt{3}

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Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
Nadya [2.5K]
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'. 

Note how the x and y values swap places. 
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen. 

The purple triangle is the final answer.

8 0
3 years ago
All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca
lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that \mu = 82, \sigma = 4.5

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{92 - 82}{4.5}

Z = 2.22

Z = 2.22 has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0
3 years ago
When factored completely, the expression p^4-81 is equivalent to what?
Mice21 [21]
Differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)
4 0
3 years ago
Read 2 more answers
"The output is one-fourth of the input."
Alenkasestr [34]

Step-by-step explanation:

Using functions, the input is x, the output is y.

<u>Break down the problem:</u>

The output (y) is (equals) one-fourth (1/4) of the input (x)

y equals 1/4 of x

y =  \frac{1}{4} x

3 0
2 years ago
Help fast
yarga [219]

Answer:

The first one

Step-by-step explanation:

5 0
2 years ago
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