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Sergeeva-Olga [200]
4 years ago
11

What does "x" equal when

_{3}27 ^{2x} = 3" alt="log _{3}27 ^{2x} = 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leviafan [203]4 years ago
6 0
\log_327^{2x}=3\\
3^3=27^{2x}\\
27=27^{2x}\\
2x=1\\
x=\dfrac{1}{2}
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Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inch
jekas [21]

Answer:

68% of the population will have a height between 64 and 72 inches

Step-by-step explanation:

According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches

6 0
3 years ago
A cup of hot coffee has been left to cool in a room with an ambient temperature of 21C.
Alenkinab [10]

Answer:

58.09 degrees C.

Step-by-step explanation:

T(m)=21+74*10^-0.03m

When m = 10 minutes:

T(10) = 21 + 74*10^(-0.03*10)

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3 0
4 years ago
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Alecsey [184]

Answer:

60 cm is the answer

Step-by-step explanation:

3 0
3 years ago
On a coordinate plane ,the segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5,with the origin as the cent
mestny [16]

The length of the dilated line segment is 80 units.

<h3>What is dilation?</h3>

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units

The length of the dilated line segment is 80 units.

Find out more on dilation at: brainly.com/question/10253650

8 0
2 years ago
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Otrada [13]

Answer:

80

Step-by-step explanation:

first add the parenthesis (9+7) = 16

then multiply 16 * 5 = 80

4 0
3 years ago
Read 2 more answers
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