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egoroff_w [7]
3 years ago
15

Simplify (2^5/3^2)^4

Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Answer:

( 2^(20) / 3^(8) )

Step-by-step explanation:

(2^5/3^2)^4

=>( 2^(5(4)) / 3^(2(4)) )

=> ( 2^(20) / 3^(8) )

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What's the standard form of 314,207
maria [59]
Standard form: 314,207

expanded form: 300,000+10,000+200+7

word form: three hundred fourteen thousand, two hundred seven

6 0
3 years ago
Find the value of the variable. Round decimal answers to the nearest tenth. x =
Andrews [41]

Answer:

15

Step-by-step explanation:

The hypotenuse of a triangle is a² + b² = c².

12² + 9² = c²

144 + 81 = 225

√225 = 15

3 0
3 years ago
Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0
3 years ago
First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?
Ira Lisetskai [31]

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

6 0
3 years ago
Read 2 more answers
Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi
irakobra [83]

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

z=\frac{x-\mu}{\sigma} the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

8 0
3 years ago
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