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valina [46]
3 years ago
14

Find the number of steel ball bearings, each of diameter 0.7 cm, that can be made from 1kg of steel, given that 1cm cubed of ste

el weighs 7.8 g​
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

Ball Bearing Volume = (4 / 3) * PI * radius ^3

Volume = (4 / 3) * 3.14159265 * (.35)^3

Volume = (4 / 3) * 3.14159265 * 0.042875

Volume = 0.17959438 cc

1 cc of steel = 7.8 g

Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc

1 kg = 128.205 cc

Number of ball bearings we can make = 128.205 / 0.17959438

Equals 713.86

Step-by-step explanation:

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inysia [295]
The variable b represents the area of the base of the prism or pyramid. Hope that helps!
4 0
3 years ago
A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them
nasty-shy [4]

Answer:

a.   False

b. True

Step-by-step explanation:

Given that:

The sample size of the college student n = 100

The population of student that participated p = 38

We are to identify from the following statement if it is true or false.

From part a;

It is false since the random samples not indicate the population perfectly. As such we can't conclude that the proportion of students at this college who participate in intramural sports is 0.38.

The statement in part b is true because the sampling variation, random samples also do not indicate the population perfectly but it is close to be 0.38. Thus, it is suitable to conclude that the proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

7 0
2 years ago
Graph the function. Give domain and range in interval form.
sertanlavr [38]

Answer:

Domain: all real values of x

Range: all real values of y

Translation depends on the parent function

If the first function was:

y = cuberoot(x)

Then translation is:

Vertical translation 1 unit downwards

6 0
3 years ago
Please help. I have attached a picture.
Ksivusya [100]
Answer: Choice C) -1/3

The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)

To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

7 0
3 years ago
Maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table bel
raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

f(x)=-6x-21


This function is of the form y=mx+b, where m=-6 is the slope and b=-21 is the y-intercept.


We can also determine the slope of the function in the table using any two points, say (0,7)\:and\:(2,6).


The slope formula is given by,

m=\frac{y_2-y_1}{x_2-x_1}.


If (x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6), then,

m=\frac{6-7}{2-0}


m=-\frac{1}{2}.


We can see that both functions have a negative slope.


The correct answer is B.




8 0
3 years ago
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