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ankoles [38]
3 years ago
7

Simplify this expression HELP ASAP

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Noting the following rule of radicals

\sqrt{a} × \sqrt{b} = \sqrt{ab}

Given

(\sqrt{2} + \sqrt{3})( \sqrt{5} - \sqrt{7} )

Each term in the second factor is multiplied by each term in the first factor

= \sqrt{2}(\sqrt{5} - \sqrt{7}) + \sqrt{3}(\sqrt{5} - \sqrt{7}) ← distribute parenthesis

= \sqrt{10} - \sqrt{14} + \sqrt{15} - \sqrt{21}

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There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
eimsori [14]

Answer:

3:7 or 3/7

Step-by-step explanation:

if it helps don't forget to like and mark me

7 0
2 years ago
Solve using a suitable inverse operation:
Olenka [21]

Answer:

a = - 10

Step-by-step explanation:

Given

\frac{a}{5} = - 2

a is divided by 2. The inverse operation to division is multiplication, thus

Multiply both sides by 5 to clear the fraction

a = 5 × - 2 = - 10

7 0
3 years ago
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
serg [7]

Answer:

-4 + 6°

Step-by-step explanation:

- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°

8 0
3 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

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

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? (5 points) y = 4x − 2 y = 2x − 4 y = −3(
DIA [1.3K]

For this case we have that by definition, the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

We have the following points:

(x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3

We chose a point:

(x_ {0}, y_ {0}) :( 4,0)

Substituting in the equation we have:

y-0 = -3 (x-4)\\y = -3 (x-4)

Finally, the equation is: y = -3 (x-4)

Answer:

OPTION C

6 0
3 years ago
Read 2 more answers
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