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Fudgin [204]
3 years ago
6

The height of a baseball in feet x seconds after a batter hits it can be represented by the function f(x)=−2x2+10. How many feet

high is the baseball after 2 seconds?
Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
8 0

Answer:

So, at 2 seconds the baseball reaches its maximum height and its maximum height is 69 feets.

Step-by-step explanation:

ikadub [295]3 years ago
7 0
The heigh of the baseball after 2 seconds would be 69 ft
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How do you write 9/25 as a equivalent fraction
Sveta_85 [38]
18/50 is an equivalent fration because when simplified it equals to 9/25
8 0
3 years ago
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
3 years ago
Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft sto
vagabundo [1.1K]

Answer:

34 yards of ribbon

Step-by-step explanation:

If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer

3 0
3 years ago
8. Solve the system of equations using substitution.
Elodia [21]

Answer:

D

Step-by-step explanation:

In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!

Let us start with option A. (6,3)  3 = 4(6) + 6     = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.

Next answer choice, B  (3,6)  6 = 2(3) =   6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6   = 6 = 18 which is wrong.

Next, C.  (1,2)   2 = 2(1) = 2=2 Right now lets check the other equation.

2 = 4(1) + 6 = 2=10. Wrong

Last, D. (-3, -6)    -6 = 2(-3)  = -6 = -6 Right now lets check the other equation.

-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.

Sorry for the wait of response.

8 0
3 years ago
The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,
lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

For x < 10 minutes

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) =  0.0465

7 0
3 years ago
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