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Ivenika [448]
3 years ago
10

Find the value of S for an infinite geometric series with r= 1/6 and a1=10

Mathematics
1 answer:
Lelu [443]3 years ago
5 0
S=a1/1-r=10 x 6/5 = 12
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The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?
miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

given \\ diameter \: of \: sphere \:  = 12 \: inches \\ radius \: of \: sphere \:  =  \frac{diameter}{2}  \\ radius \:  =  \frac{12}{2}  = 6 \: inches \\ volume \: of \: sphere \:  =  \frac{4}{3} \pi \:  {r}^{3}  \\ here \: r \:  =  \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi  \:  {6}^{3}  \\ \\ volume \: of \: sphere = \frac{4}{3} \pi  \times 216 \\  \:  \:  = 4\pi \times 72 \\  \:  \:  = 288\pi \\  \:  \:  = 904.778 \: cubic \: inches

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

4 0
3 years ago
Suppose the function y = 30,000(1.06)x models the annual profit for a small business x years after 2000. Find the profit at the
goldfiish [28.3K]
From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation. 
                                         y = (30,000)(1.06)(11)
                                         y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800. 
4 0
4 years ago
7) Write as a numeral:<br> 40,000 + 7,000 + 600 + 40 + 3
Diano4ka-milaya [45]

Answer:

47,643

Step-by-step explanation:

This question is basically asking you to add up all of these numbers together and present the end result.

1) 40,000 + 7,000 = 47,000

2) 600 + 40 + 3 = 643

3) 47,000 + 643 = 47,643.

5 0
3 years ago
5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls​
miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = cos^{2}x - sin^{2}x

2. Pythagorean identity:

cos^{2}x + sin^{2}x = 1

Back to your problem, replacing the variable by the above:

5cosx-sin\frac{x}{2}+7 = 0

5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Double-angle formula

5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Pythagorean identity

Given y = \frac{x}{2}

5(1-2sin^{2}y) - 2siny + 7 = 0

10sin^{2}y+2siny-12=0

5sin^{2}y+siny-6=0

(5siny + 6)(siny - 1)=0, we know -1 < sinx < 1, for every x ∈ R

siny = 1, y =90

y = \frac{x}{2}

x = 180

8 0
3 years ago
5. help me i’ll give brainliest if you’re right
-Dominant- [34]

Answer:

can i have my brainliest i helped u on the other questions pls dude

Step-by-step explanation:

7 0
3 years ago
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