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Troyanec [42]
2 years ago
12

A rational function g is given below. Find all values of a for which ​g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

Mathematics
1 answer:
aliina [53]2 years ago
3 0

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

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A 12​-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 ​rpm, what is the spee
nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

v = \omega*R  

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

R = \frac{n_{(a)}}{n_{(b)}}  

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth  

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

R = \frac{12}{42} = 0.29

Now, the speed of the larger gear is:

v = \omega*R = 700 rpm*0.29 = 203 rpm

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!                        

3 0
2 years ago
Where in the real-world is the Pascal Triangle used? Provide an example.
cupoosta [38]

Answer:

There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.

You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.

I hope this helped.

6 0
2 years ago
What is the value of X?
matrenka [14]

The two given angles are vertical angles and equal each other:

3x + 50 = 6x -10

Now solve for x:

Subtract 3x from both sides:

50 = 3x -10

Add 10 to both sides:

60 = 3x

Divide both sides by 3

X = 20

5 0
2 years ago
What is 2160 minus 1600 long way
lilavasa [31]
Hey there, Lets solve this problem together. 

The First step is to line up the numbers. 

=  2160&#10;&#10;- 1600 

\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left} 

<span>We calculate </span>0-0<span>the result of which is </span>0<span> 
</span>
<span>We calculate </span>6-0<span> the result of which is </span>6<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.

We calculate 10+1-6, and the result is 5. 

<span>We calculate </span>2-1-1<span> the result of which is</span>0<span>. 
</span>
Therefore, 

2160 - 1600 = 0560 
8 0
2 years ago
Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour
klemol [59]
We know that speed * time = distance

Before we start we need to make sure the units for all three numbers are right

The time is 1/3 of a hour, 1/3*60 = 20 minutes

x * 20 = 22.5
 
x *2 * 10 = 22.5

2x = 2.25
 
x = 1.125
4 0
3 years ago
Read 2 more answers
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