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3 years ago

Can someone help with these two answers

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

2.The answers are "5^3 * 5 and 25^2" and "(3^2)^3 and 3^2 * 3^2 * 3^2".

3. The answer is C (3^7 : 9 = 3^7 : 3^2 = 3^(7 - 2) = 3^5).

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A cone shaped roof has a diameter of 12 feet a height of 8 feet and a slant of the roof is 10 feet if the roofing cost a total o

vitfil [10]

Answer:

$c = 16.392\,\frac{USD}{ft^{2}}$

Step-by-step explanation:

The surface area of the cone shaped roof is:

$A_{s} = \pi\cdot (10\,ft)\cdot (6\,ft)$

$A_{s} \approx 188.496\,ft^{2}$

The cost of roofing per square feet is: (USD stands for US dollar)

$c = \frac{3089.76\,USD}{188.496\,ft^{2}}$

$c = 16.392\,\frac{USD}{ft^{2}}$

3 0

4 years ago

As the Earth revolves around the sun, it travels at a speed of approximately 18

zzz [600]

So if the earth goes 18 miles per second you would multiply 18 and 60 since 60 seconds are in a minute. And that is 1,080 miles in a minute then times that by 5 and your answer is 5,400 miles in 5 minutes.

4 0

3 years ago

a bottle of juice holds 3/8 gallon when it is full. if 1/3 of the juice has been poured out, how much juice is left in the bottl

taurus [48]

Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.

8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.

1/3 * 8/8 = 8/24

3/8 * 3/3 = 9/24

There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.

Hope that helped.

4 0

4 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .

Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,