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Ne4ueva [31]
3 years ago
11

What is 30% of 20????

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer:

6

Step-by-step explanation:

30% of 20 = 30% * 20

= \frac{30}{100} * 20

= 6

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Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the
alexira [117]

Answer:

dV=542.9 cm^{3}    

Step-by-step explanation:

Let's start with the equation of the volume of a cylinder:

V=\pi r^{2}*h

Where:

  • r is the radius of the cylinder (r=D/2=24/2=12 cm)
  • h is the high of the cylinder (h = 60 cm)

We can us partial derivatives to find the differential of this volume. So we will have:

dV=\frac{\partial V}{\partial r}dr+\frac{\partial V}{\partial h}dh (1)

Now:

\frac{\partial V}{\partial r}=2\pi r*h=2\pi 12*60=4523.9 cm^{2}

\frac{\partial V}{\partial h}=\pi 12^{2}=452.4 cm^{2}

dr is a differential of the radius, so in our case it is 0.1 cm and dh, differential of the high, is 0.1*2 cm. We multiply by 2 because we need to consider the top and the bottom of the cylinder.

Now we just need to put all of this definitions in the equation (1).

dV=4523.9*0.1+452.4*0.2=542.9 cm^{3}    

I hope it helps you!

6 0
4 years ago
What is the slope of the line that is parallel to y=−5x+7?
zheka24 [161]

Answer:

-5

Step-by-step explanation:

<u>Slope- intercept form:</u>

y= mx +c, where m is the slope and c is the y-intercept

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of the x term. Here the coefficient is -5, thus the slope of the given line is also -5.

Parallel lines have the same slope. Thus, the slope of the line that is parallel to y= -5x +7 will have a slope of -5.

3 0
3 years ago
Find the equation of the line that is perpendicular to line
olganol [36]

Answer:

  5x +6y -90 = 0

Step-by-step explanation:

The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant will be chosen so the equation is satisfied at the given point.

  5x +6y = 5(6) +6(10) = 90

The equation of the perpendicular line in general form is ...

  5x +6y -90 = 0

8 0
2 years ago
Which expression is equivalent to -11 - (-7)?<br> A.-11-7<br> B.11 -7 <br> C.11 +7 <br> D.-11 +7
Snezhnost [94]

Answer:

d. -11+7

Step-by-step explanation:

two negatives make a positive.

i hope this helps :)

8 0
3 years ago
Which expression can be used to determine the average rate of change in f(x) over the interval mc001-1.jpg
Mrac [35]
The average rate of change of a function f(x) over an interval (a, b) is given by
\frac{f(b)-f(a)}{b-a}

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
\frac{f(9)-f(2)}{9-2}
8 0
4 years ago
Read 2 more answers
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