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1 year ago

How many times as great is the diameter of a pinhead as the diameter of a cloud-water droplet

Mathematics

1 answer:

Ulleksa [173]1 year ago

5 0

Given:

The diameter of cloud-water droplet is

$10^{-5}$

The diameter of pinhead is 0.001.

Explanation:

Divide the dimater of cloud-water droplet by dimater of pinhead to determine the times as great is the diameter of a pinhead as the diameter of a cloud-water droplet .

$\begin{gathered} a=\frac{0.001}{10^{-5}} \\ =0.001\cdot10^5 \\ =100 \end{gathered}$

So diameter of a pin-head is 100 times the diameter of water-droplet.

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Find the average value of the function on the given interval. f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

8 0

3 years ago

Solve the equation by using the Properties of Equality. 9x – 3 = 42

Naya [18.7K]

Step-by-step explanation:

9x-3=42

9x=42+3

9x=45

9x/9=45/9

x=5

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2 years ago

I lied- (21.2) x (0.02) (2.05) x (0.004)

Llana [10]

Answer:

oof

21.2 x 0.02 = 0.424

2.05 x 0.004 = 0.0082

Step-by-step explanation:

8 0

2 years ago

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What is the constant in the following equation? 12 = 3k

stiks02 [169]

Answer:

k = 4

Step-by-step explanation:

$12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k$

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2 years ago

Please answer this correctly

Stolb23 [73]

Answer:

502.4 square inches

Step-by-step explanation:

To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:

$\pi \cdot 6^2 = 3.14\cdot 36=113.04$

The area of the larger circle, which has radius 6+8=14, is:

$\pi \cdot 14^2= 3.14 \cdot 196=615.44$

Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!

7 0

3 years ago

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