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3 years ago

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Mathematics

1 answer:

Shkiper50 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

$(2^{3})^{3} = 2^{3*3}=2^{9}\\\\\\(\dfrac{4^{2}}{5^{3}})^{3} = \dfrac{(4^{2})^{3}}{(5^{3})^{3}}=\dfrac{4^{6}}{5^{9}}\\\\\dfrac{3^{6}}{3^{3}}=3^{6-3}=3^{3}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}$

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Appreciate the support!

andreyandreev [35.5K]

The volume of a rectangular prism is represented by the following equation:

$V=w*h*l$

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that $A=w*h$

Using this knowledge, we can change the volume equation to our needs.

$V=w*h*l$

$V=(w*h)*l$

$V=A*l$

Note: We know that A is 16 since it's given

$V=16*l$

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

$208=16*l$

Divide both sides of the equation by 16.

$13=l$

The length is 13 cm.

Let me know if you need any clarifications, thanks!

4 0

3 years ago

Mr. Doyle washed

KiRa [710]

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15 Mr Doyle

1/3=5/15 Son

so Mr Doyle washed the most.

Together they washed 11/15 of the laundry so 4/15 is left to wash.

7 0

3 years ago

Function P represents the perimeter, in inches, of a square with the side length x inches.

tatyana61 [14]

Answer:

x =0,1,2,3,4,5,6

P(x) =0,4,8,12,16,20,24

Step-by-step explanation:

P(x)= 4x

4 x 1 = 4

4 x 2 = 8

4 x 3 =12

4 x 4 = 16

4 x 5 = 20

4 x 6 = 24

7 0

3 years ago

A random sample of 12 men age 60-65 has a mean blood pressure of 142. 3 mmHg and a standard deviation of 20.8 mmHg. Construct a

Over [174]

Answer:

The 99% confidence interval = (126.93,157.67)

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × Standard deviation /√n

Mean = 142. 3 mmHg

Standard deviation = 20.8 mmHg.

n = 12

Z score for 99% confidence interval = 2.56

Confidence Interval =

142.3 ± 2.56 × 20.8/√12

142.3 ± 2.56 × 6.0044427996

142.3 ± 15.371373567

Confidence Interval

= 142.3 - 15.371373567

= 126.92862643

≈ 126.93

142.3 + 15.371373567

= 157.67137357

≈ 157.67

Therefore, the 99% confidence interval = (126.93,157.67)

3 0

3 years ago

Please help!!! Brainliest?

Elena L [17]

I think the answer is b i hope this helps

7 0

3 years ago