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geniusboy [140]
3 years ago
13

Lenny worked 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90.

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

$8.95

Step-by-step explanation:

you add 7+6+9=22 196.90 divided by 22 is 8.95 hope this helps

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Use CALCULUS to find coordinates of the turning point on C.
antiseptic1488 [7]
Oi 

Just calculating the differential. Step by step:

y=12 \sqrt{x} -x \frac{3}{2}-10 \\  \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \  \sqrt{x} =x^{ \frac{1}{2} }}  \\  \\  Differentiating \\  \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\  \\  y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\  \\  y'=6. \frac{1}{x^{ \frac{1}{2} }}  -1. \frac{3}{2}  \\  \\  \boxed{y'=\frac{6}{ \sqrt{x} }  -\frac{3}{2}}

If you want to know where the tangent has no slope:

\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\  \\  \frac{6}{ \sqrt{x} } = \frac{3}{2}  \\  \\ 3 \sqrt{x} =12 \\  \\  \sqrt{x} = \frac{12}{3}  \\  \\  \sqrt{x} =4 \\  \\   (\sqrt{x})^2 =4^2 \\  \\ x=16
3 0
3 years ago
How much water is needed to completely fill a mini-aquarium measuring 20 cm x 35 cm x 50 cm?
labwork [276]

volume =  l x w x h

volume = 20 x 35 x 50  = 35,000 cubic cm


 1 cubic cm = 0.001 liter

35000 x 0.001 = 35 liters of water is needed


6 0
4 years ago
Simplify 4.51^0 - which is it?<br> 4.51 ?<br> 1 ?<br> 0 ?<br> -1 ?
koban [17]

Answer:

1

Step-by-step explanation:

{(4.51) }^{0}  = 1

hope this helps you.

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3 years ago
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Answer:

The population one year from now would be 103,500,000

Step-by-step explanation:

The current population is 100,000,000

Growth rate of 3.5%.

So the population one year from now is 3.5% of the current population(100,000,000) added to the current population(100,000,000).

3.5% of 100,000,000 is 0.035*100,000,000 = 3,500,000.

Added to 100,000,000

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The population one year from now would be 103,500,000

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