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AnnyKZ [126]
3 years ago
7

What is the volume of the sphere with a radius of 6 m rounded to the nearest square meter?

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

905 m^3

Step-by-step explanation:

The volume of a sphere is V=4/3*pi*r^3

Plugging in, we get:

V=4/3*pi*6^3

V=4/3*pi*216

V=288pi

V=904.778

So the volume of the sphere rounded to the nearest cubic meter is 905 m^3.

You only use square meters when talking about area and not volume BTW.

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Find all possible values of each expression. Suppose 3
Tomtit [17]

The inequality that describes the possible values of the expression is:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

<h3>What is the lower bound of values of the expression?</h3>

The expression is given by:

\frac{b}{3a} - \frac{a}{3b}

To find the lower bound, we try to see when the expression is negative, hence:

\frac{b}{3a} - \frac{a}{3b} < 0

\frac{b}{3a} < \frac{a}{3b}

Applying cross multiplication and simplifying the 3's, we have that:

b^2 < a^2

From the bounds given, this expression will never be true, at most they can be equal, when:

a = b = 4.

Hence the lower bound of values of the expression is of 0.

<h3>What is the upper bound of values of the expression?</h3>

The expression is a subtraction, hence we want to maximize the first term and minimize the second.

Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:

  • Maximize b, hence b = 5.
  • Minimize a, hence a = 4.

Then:

\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}

Hence the bounds are:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

More can be learned about values of expressions at brainly.com/question/625174

#SPJ1

4 0
2 years ago
Help PLEASE!! This is my last question of this QUIZ THAN I'LL BE FREE!!<br> 20 pts!!!!
EastWind [94]

Answer:

y=0.012x+0.65

Step-by-step explanation:

And again y=mx+c  

we have 4 point given in the question

(50,1.25) ( 100,1.85) ( 150,2.45) (200,3.05)

we can find the M ( gradient/Slope) by using 2 of them with the formula

I am using the first 2 (50,1.25) ( 100,1.85)

\frac{y2-y1}{x2-x1}

\frac{1.85-1.25}{100-50} \\\frac{0.6}{50}

which in decimal form is 0.012

with that cross out the first option as its wrong

now to find c, like in the previous two question, put the m, x and y in the equation and solve for C

I am gonna use the 3rd coordinates for this one (150,2.45)

2.45=0.012(150)+c

2.45=1.8+c

0=1.8-2.45+c

-c=-0.65

c=0.65

So our completed equation is y=0.012x+0.65

The third answer is correct :)

8 0
3 years ago
Read 2 more answers
Will give you brainly if you answer this
klemol [59]
It’a the third , and can I have the brainliest too
5 0
3 years ago
Read 2 more answers
ANSWER QUICK!!!
UkoKoshka [18]

b becuces you add the dived

6 0
3 years ago
The governor of a state earns $54,625 more than the governor of state B. If the total of their salaries is 286,165, find the sal
Kitty [74]
For this case, the first thing we must do is define variables.
 We have then:
 x: governor of a state gains
 y: governor of b state earnings
 We now write the system of equations that models the problem.
 We have then:
 x + y = 286165&#10;&#10;x = y + 54625
 Solving the system of equations we have:
 y + 54625 + y = 286165&#10;&#10;2y = 286165 - 54625&#10;&#10;2y = 231540&#10;&#10;y = 231540/2&#10;&#10;y = 115770
 Then, for x:
 x = y + 54625&#10;&#10;x = 115770 + 54625&#10;&#10;x = 170395
 Answer: governor of a state earns $ 170395
 
governor of b state earns $ 115770
6 0
3 years ago
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