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3 years ago

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Use spherical coordinates. Evaluate e underroot x2 + y2 + z2 dV, where E is enclosed by the sphere x2 + y2 + z2 = 81 in the firs

t octant.

1 answer:

aniked [119]3 years ago

6 0

Answer:

The answer is below, see below:

Step-by-step explanation:

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A 38 oz bottle of a new soda costs $2.83. What is the unit rate, rounded to the nearest tenth of a cent?

dedylja [7]

Answer:

13.4

Step-by-step explanation:

uh 38 / 2.83 = 13.4

4 0

4 years ago

Read 2 more answers

Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earning

Irina18 [472]

Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2 = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 = 2330

6 0

4 years ago

Read 2 more answers

Find an explicit rule for the nth term of the sequence.<br><br> -1, -5, -25, -125, ...

KonstantinChe [14]

Answer:

-(5^N)

Step-by-step explanation:

The sequence is a negated 5 to the N power

ex.) -(5^0) = -1

-(5^1) = -5

-(5^2) = -25

-(5^3) =125

8 0

3 years ago

What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x + 20? (1 point)

Montano1993 [528]

The <u>possible rational zeros</u> of <u>polynomial function</u> $f(x) = x^4 + 2x^3 - 3x^2-4x + 20$ could be only among the <u>divisors</u> of the <u>free term</u> of this polynomial function.

The free term is 20 and the divisors of 20 are:

$\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.$

Answer: correct choice is C

7 0

4 years ago

At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to

MrRa [10]

Answer:

380.

Step-by-step explanation:

Given:

Total number of employees at Gallicum Enterprises are in the ratio,

J : k : L = 1 : 3 : 5 for some time.

Last month, 20 new J employees were hired, and no employees left and the new ratio of J to K is now 1 : 2.

Question asked:

What is the new total number of employees at Gallicum Enterprises ?

Solution:

<u>As given, J : K : L = 1 : 3 : 5 </u>

<em><u>So, J : K = 1 : 3 </u></em>

$\frac{J}{K} = \frac{1}{3} \ (1)$

As last month, 20 new J employees were hired, new ratio of J to K is now

1 : 2.

So, $\frac{J+20}{K}=\frac{1}{2} \ (2)$

Dividing equation 1 and 2,

$\frac{J}{K}\div{\frac{J+20}{K} } = \frac{1}{3}\div{\frac{1}{2} }$

$\frac{J}{K}\times{\frac{K}{J+20} } = \frac{1}{3}\times{\frac{2}{1} }\\\\ \frac{J}{J+20} =\frac{2}{3} \\\\$

By cross multiplication:

$3J=2(J+20)\\3J=2J+40$

Subtracting both sides by $2J$

$J=40$

From equation 1.

$\frac{J}{K} = \frac{1}{3} \\\\ \frac{40}{K} =\frac{1}{3} \\\\$

By cross multiplication:

$K=40\times3\\\\ K=120$

As given, J : K : L = 1 : 3 : 5

So, K : L = 3 : 5

$\frac{K}{L} =\frac{3}{5} \\\\\\ \frac{120}{L} =\frac{3}{5}$

By cross multiplication:

$120\times5=3\times L\\600=3L$

Dividing both sides by 3

$L =200$

<em>New total number of employees after hiring 20 new J employees :</em>

New J + K + L<u> =</u> (New J = J + 20 = 40 + 20 = 60 )

60 + 120 + 200 = 380

Therefore, the new total number of employees at Gallicum Enterprises is 380.

4 0

3 years ago