Stu jogs at a rate of 5 mi/h how far must he jog to burn 418.5 calories.9.3 calories per min

the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder

Elina [12.6K]

Answer: Volume of the cylinder = $4912\ cm^2$

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder = area of cross section x height

Given: Area of cross section = $614\ cm^2$

height = 8 cm

Volume of cylinder = 614 x 8

$= 4912 \ cm^2$

Hence, the volume of the cylinder = $4912\ cm^2$

6 0

2 years ago

Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only

Firdavs [7]

Answer:

$\boxed{ x = 12}$

Step-by-step explanation:

<u>Given Equation is:</u>

$\frac{-3}{2} (x) - 9 = -27$

Adding 9 to both sides

=> $\frac{-3x}{2} = -27+9$

=> $\frac{-3x}{2} = -18$

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

6 0

2 years ago

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You are paying all eight of your monthly recurring bills free online now that you used to pay by "snail-mail". Stamps cost 47 ce

Ede4ka [16]

Answer:

$45.12

Step-by-step explanation:

($0.47 /stamp)×(8 stamps/mo)×(12 mo/yr) = $45.12 /yr

You will save $45.12 per year on stamps.

8 0

2 years ago

Tanisha and Neal are simplifying the expression . They each began the same way. Tanisha’s Work Neal’s Work Which statements are

valentina_108 [34]

Answer:

The correct simplified answer is $\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$ or $\frac{x^8}{81\cdot y^8}$

Step-by-step explanation:

Here we have the expression as

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4}$

Tanisha's work

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^2)(y^{-2})}{3} \right )^{4}$

Neal's work is

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^{16})(y^{-20})}{3^4(x^8)(y^{-12})} \right )$

The correct simplified answer is $\frac{x^8}{81\cdot y^8}$ .

which can also be expressed as

$\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$

Both form represent simplified forms of the original equation.

8 0

2 years ago

Read 2 more answers

Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians aged

BabaBlast [244]

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p = x/n

Where x = number of successes

n = number of samples

For the indians,

x = 368

n1 = 634

p1 = 368/634 = 0.58

For the asians

x = 130

n2 = 567

p2 = 130/567 = 0.23

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.58(1 - 0.58)/634 + 0.23(1 - 0.23)/567]

= 1.96 × √0.00038422713 + 0.00031234568)

= 0.052

Confidence interval = 0.58 - 0.23 ± 0.052

Confidence interval = 0.35 ± 0.052

8 0

2 years ago