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aleksklad [387]
3 years ago
10

Which expression can be used to calculate the rate per second at which the machine launches the balls? (4,20) (8,40) (12,60) (16

,80)
Mathematics
2 answers:
masya89 [10]3 years ago
8 0
5 because 20 divided by 4 is 5, 40 divided by 8 is 5, 60 divided by 12 is 5 and 80 divided by 5 is 16.
larisa86 [58]3 years ago
4 0
Hello.

The expression can be found by using the slope formula. 

The expression used to calculate the rate per second at which the machine launches the ball is 40x. 
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Vanyuwa [196]

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Answer:

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3 0
3 years ago
There were 900 students enrolled in a high school in 2009 and 1,500 students enrolled in the same high school in 2012. The stude
Volgvan

Answer:

(A)

(t_0,P_0)=(0,900)

(t_1,P_1)=(3,1500)

(B)

m=200

(C)

P=200t+900

(D)

The high school's enrollment in 2017 is 2500

Step-by-step explanation:

Let's assume time starts since 2009

so, In 2009 , t=0

P=900

In 2012,

t=2012-2009=3

P=1500

(A)

So, we have points as

(t_0,P_0)=(0,900)

(t_1,P_1)=(3,1500)

(B)

we can use slope formula

m=\frac{P_2-P_2}{t_2-t_1}

we can plug values

m=\frac{1500-900}{3-0}

m=200

we know that

slope is rate of change of P with respect to time

so, slope means increase in population is 200 per year

(C)

we can use point slope form of line

y-y_1=m(x-x_1)

m=200

(t_0,P_0)=(0,900)

P-900=200(t-0)

P=200t+900

(D)

In 2017 ,

t=2017-2009=8

we can plug t=8

and we get

P=200(8)+900

P=2500

The high school's enrollment in 2017 is 2500

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4 years ago
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A number - n
five times the number - 5n
nine more than five times the number - 5n+9

The answer is D.
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The answer is 1/2. I think that since the question is about Box B , only boxes will be taken into consideration. Since the total number of boxes are two and box b is one ,the probability of the box being B is 1/2. 
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