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Makovka662 [10]
3 years ago
13

Could someone help with this?

Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

C = (1/3)π r² h

270π = (1/3)π r² (10)

81=r²

r=9 cm

S = (4/3)π r³ = (4/3)π 9³ = 972 π

Total volume = S + C = (972+270)π = 1242π

Answer: 1242 π cubic cm

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Indicate whether the statement is true of false.
yawa3891 [41]

The statement is false, as the system can have no solutions or infinite solutions.

<h3>Is the statement true or false?</h3>

The statement says that a system of linear equations with 3 variables and 3 equations has one solution.

If the variables are x, y, and z, then the system can be written as:

a_1*x + b_1*y + c_1*z = d_1\\\\a_2*x + b_2*y + c_2*z = d_2\\\\a_3*x + b_3*y + c_3*z = d_3

Now, the statement is clearly false. Suppose that we have:

a_1 = a_2 = a_3\\b_1 = b_2 = b_3\\c_1 = c_2 = c_3\\\\d_1 \neq d_2 \neq  d_3

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3 0
2 years ago
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
alisha [4.7K]
0.5(20x - 50y + 36) - 0.25(-100x + 40y - 12)
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3 years ago
Which fraction equals a repeating decimal
bezimeni [28]
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\frac{4}{9} is 0.4444444444 and so on

\frac{7}{9} is 0.777777777 and so on

So it could be anything like 9 or 6 as long is its like this  \frac{9}{4}
\frac{6}{4}
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What is the equation of this line <br> Y=1/4x<br> Y=4x<br> Y=-1/4x<br> Y= -4x
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4 0
3 years ago
Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
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