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Artist 52 [7]
3 years ago
11

This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w

ere used to make the cup
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

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Which expressions are equivalent to 2 to the 11 power
STatiana [176]

\text{Hey there!}

\text{Which expressions are equivalent to}\bf{ \ 2^{11}}?

\bf{2^{11} = 2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2}

\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2=4}\\\bf{2\times2\times2 = 8}\\\bf{4\times4\times4\times4=16\times16=256}\\\bf{256\times8=2,048}\\\\\boxed{\boxed{\bf{Your\ answer: 2,048}}}\checkmark

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6 0
3 years ago
Please help!!<br> (This is Algebra 1!)
yKpoI14uk [10]

Answer:

$242.78

Step-by-step explanation:

Given :

Room cost for 1 night = $199

Tax rate = 22% or 0.22

Tax for room for 1 night = 0.22 x $199 = $43.78

Total cost for one night,

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5 0
3 years ago
What is the probability of the spinner landing on an odd number
Nadya [2.5K]

Answer:

1/50* 1/2  =0 .01

Step-by-step explanation:

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1 /50

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Second, the probability that the spinner lands on an odd number is  

1/2

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6 0
3 years ago
Read 2 more answers
To compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random
alina1380 [7]

Answer:

An independent sample.

Step-by-step explanation:

In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.

An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.

Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.

<em>Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.</em>

6 0
2 years ago
Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x).
Ymorist [56]

All are the exponential function.

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. c is the base and x is the power.

<h3>Which functions represent exponential growth?</h3>

1.  y = f(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

2.  y = h(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

3.  y = g(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

4.  y = k(x) is a exponential function.

Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.

Thus, all are the exponential function.

More about the exponent link is given below.

brainly.com/question/5497425

3 0
2 years ago
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