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liq [111]
3 years ago
12

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3)?. .

Mathematics
1 answer:
ohaa [14]3 years ago
6 0
The equation of the line given is 2 from the equation y = mx + b where m is the slope. For the lines to be parallel, their slopes should be equal. The equation of the line may also be expressed as, 
                                  y - y1 = m(x - x1)
Substituting the values,
                                  y - 3 = 2(x - 5)
The simplified form of the equation is,
                                   y = 2x - 7
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Find an exponential model : Q is the population of bacteria in a Petri dish whose population was originally 150,000 but is tripl
Nadya [2.5K]

Answer:

150,000*3^t for 6 hour increments (t=1 is 6 hours t=2 is 12)

150,000*3^(t/6) for hourly increments, each t is 1 hour.  

Step-by-step explanation:

Well super simply you could do 150,000*3^t where t is measured in 6 hour intervals.  so t=1 is 6 hours, and to get 1 hour you would need to do t=1/6

If you want t to be an increase of every hour you would just need to adjust, like I showed before 1/6 gets one hour so 150,000*3^(t/6) would be the model where every t increases by 1 hour.

4 0
3 years ago
A baseball player hit 65 home runs in a season. Of the 65 home​ runs, 19 went to right​ field, 23 went to right-center​ field, 9
olchik [2.2K]

Answer:

a) 29.23% probability that a randomly selected home run was hit to right field

b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

(a) What is the probability that a randomly selected home run was hit to right field?

Desired outcomes:

19 home runs hit to right field

Total outcomes:

65 home runs

19/65 = 0.2923

29.23% probability that a randomly selected home run was hit to right field

(b) Was it unusual for this player to hit a home run to right field?

29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

8 0
3 years ago
Write an equation of the line that passes through a pair of points:
vredina [299]

Answer:

b)

The  equation of the line that passes through a pair of points

   y  = \frac{-1}{8}  ( x ) -\frac{11}{8}

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}

The  equation of the line that passes through a pair of points

              y - y_{1} = m ( x - x_{1} )

           y - (-2) = \frac{-1}{8}  ( x - (5) )

          y  = \frac{-1}{8}  ( x ) +\frac{5}{8} -2

        y  = \frac{-1}{8}  ( x ) +\frac{5-16}{8}

      y  = \frac{-1}{8}  ( x ) -\frac{11}{8}

3 0
3 years ago
If P is the midpoint of ST, SP=x+4and ST=4x determine the length of ST
mario62 [17]
The answer for ST is 8

3 0
3 years ago
This is my last assignment, pls help
Oduvanchick [21]
15 bushes I think because if u divide them both by two u get the answers check it urself
4 0
3 years ago
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