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nevsk
2 months ago
8

What is the following quotient? StartFraction StartRoot 6 EndRoot + StartRoot 11 EndRoot Over StartRoot 5 EndRoot + StartRoot 3

EndRoot EndFraction StartFraction StartRoot 30 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot + StartRoot 33 EndRoot Over 8 EndFraction StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2 EndFraction Seventeen-eighths Negative five-halves
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
6 0

Response:

Choice C on Edge2020.

Detailed explanation:

babunello [11.8K]2 months ago
5 0

Answer:

StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2

Step-by-step explanation:

We are given the surdic equation depicted in \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} }\\.

To calculate the quotient, we will rationalize by multiplying both the numerator and denominator of the function by the conjugate of the denominator.

The denominator shown in \sqrt{5}+\sqrt{3} has a conjugate of \sqrt{5}-\sqrt{3}.

After multiplying by \sqrt{5}-\sqrt{3}, we achieve;

= \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5}-\sqrt{3} }\\

= \frac{\sqrt{30}- \sqrt{18}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- \sqrt{9*2}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- 3\sqrt{2}+\sqrt{55}-\sqrt{33}}{2}

The resulting expression provides the needed answer.

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A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold wa
PIT_PIT [12445]

Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts equals 18.5 quarts

2. 18.5 quarts corresponds to 4.625 gallons

4 0
2 months ago
A college student borrows ​$3,000 for 3 months to pay for a semester of school. If the interest is ​$61.88 find the monthly paym
Svet_ta [12734]
Based on the information:
Loan amount = $3,000
Interest accrued = $61.88
Time period = 3 months

Total amount due = 3000 + 61.88 = 3061.88
Monthly repayment = 3061.88 divided by 3 = $1,020.63

Final answer: $1,020.63

4 0
2 months ago
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A local grocery store tested spinach samples for E coli bacteria using two different tests. The first test has a 94% probability
Zina [12379]

Answer:

The likelihood that both tests will identify the bacteria is  83.66%....

Step-by-step explanation:

The first test has a 94% accuracy rate = 0.94

The second test displays a 89% accuracy rate = 0.89

The probability that both tests identify the bacteria is computed by multiplying the two probabilities:

= 0.94*0.89

= 0.8366

When this value is converted to a percentage, we arrive at

0.8366*100

= 83.66%

This means the probability that both tests will detect the bacteria is  83.66%....

8 0
2 months ago
Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi
tester [12383]

Roger is constructing a storage shed using wooden blocks shaped as cubic prisms.

A cube is essentially a box formed by squares, with all dimensions (length, width, and height) being identical.

We must figure out if he can create a shed that is twice as tall as it is wide.

This implies that if the width measures 1, the height should be 2.


Yes, this is achievable by stacking one cubic prism atop another, resulting in a shed height twice the width.

Therefore, the correct answer is "A. Yes. For every block of width, he could build two blocks high."

3 0
2 months ago
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The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
Svet_ta [12734]

Considering the function y=\log x.

1. Shifting to the right by 1 unit transforms the function y=\log x into y=\log (x-1).

2. Shifting down by 2 units alters the function y=\log (x-1) to y=\log (x-1)-2.

3. These two shifts change the function y=\log x to y=\log (x-1)-2.

4. The graph of the resulting function is depicted in the attached diagram.

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2 months ago
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