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Margaret [11]
3 years ago
9

Changing Volume If each edge of a cube is increasing at the constant rate of 3 centimeters per second, how fast is the volume in

creasing when x, the length of an edge, is 10 centimeters long?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3.  I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
     dV = 600 cm per second
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Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos
Kamila [148]

Answer:

3

Step-by-step explanation:

The fractions are: \frac{1}{5} and \frac{2}{3}. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: \frac{5}{15} and \frac{10}{15}. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in \frac{2}{3}, we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: \frac{1}{5} + \frac{2}{3}. We know it is the same as \frac{5}{15} and \frac{10}{15}. So now all we do is add the numerators together: 5+10=15 or \frac{15}{15}. Now we have to reduce the fraction. \frac{15}{15} can be reduced to 3 by dividing 15 by 5=3. The final fraction is \frac{3}{3} or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

7 0
2 years ago
Convert 0.0000001 to a power of 10.<br><br> 107<br> 10−7<br> 106<br> 10−6
valina [46]
Since you have to move the decimal point the the right by 7 places to get the decimal point after the one.  You must multiply by 1/10 seven times, which is the same as:

10^-7
4 0
3 years ago
Read 2 more answers
What is the value of x?<br> Enter your answer in the box.
Liono4ka [1.6K]

Answer:

x = 80 degree

Step-by-step explanation:

As sum of all angles in a triangle is equal to 180

so:

According to the given figure:

70  + 30 + x = 180

By simplifying

100 + x = 180

x = 180 - 100

x = 80 degree

i hope it will help you!

5 0
3 years ago
Determine the surface area of the triangular prism below
Cloud [144]

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

5 0
3 years ago
Choose 2 answers one for the center and one for the spread
Citrus2011 [14]
Is A & C.

Explanation:
A. Median for sea turtles:
The set is odd, so median is the middle number - 4
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Turtles > koi

C. The ages of koi are more spread out - 10. The turtles are only 5.




7 0
3 years ago
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