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Sliva [168]
3 years ago
10

find the average rate of change from t=2 to t=5 for the velocity function v(t)=t^2-t+10. WILL GIVE THE BRAINLIEST ANSWER--EXPLAI

N!!
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0
Answer: The average rate of change is 6.
First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12

v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is A(x) =  \frac{f(x)-(f(a)}{x-a}. When you plug in the values from this particular case, the average rate of change formula becomes A(t) = \frac{30-12}{5-2}, or A(t)= \frac{18}{3}.

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.
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Answer:

0.6

Step-by-step explanation:

  • The numbers 0 to 7 represent a made free throw
  • The numbers 8 to 9 represent a missed  free throw.

Given the simulation data

(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

  • A pair that contains only numbers between 0 and 7 shows the player makes both throws.

These pairs are:

(4,0)  (2,7) (2,0) (5,4)  (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)

There are a total of 12 cases where the player makes both throws.

Therefore:

P(Player makes both throws)=12/20=0.6

8 0
3 years ago
Nine negative third power in standard form
Andre45 [30]

Answer:

9^-3=    .0013717421

Step-by-step explanation:

6 0
3 years ago
he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034
garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that p = 0.3694

An upcoming monthly schedule contains 12 games.

This means that n = 12

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0
3 years ago
46 POINTS!!!!!!!!!!!!!<br><br> Simplify the expression 23r - 23r<br><br> please help me UwU
Lorico [155]

Answer:

1r-1r

Step-by-step explanation:

srry if its wrong i took that class a couple months ago

7 0
3 years ago
The speed of sound in air is a linear function of the air temperature. When the air temperature is 10°C, the speed of sound is 3
Sergeu [11.5K]

9514 1404 393

Answer:

  process: substitute the given point values into the 2-point form of the equation for a line

Step-by-step explanation:

There are more than a half-dozen different forms of the equation for a line. They are useful for different purposes. One of them is the "two-point form".

Using x as the independent variable, and y as the dependent variable, the equation can be written as ...

  y -y1 = (y2 -y1)/(x2 -x1)/(x -x1)

where (x1, y1) and (x2, y2) are the two points.

__

Here, your two points are ...

  (t, s) = (10, 337) and (30, 349)

Using s in place of y, and t in place of x, these two points go into the formula like this:

  s -337 = (349 -337)/(30 -10)(t -10)

Simplifying the fraction, this is ...

  s -337 = (12/20)(t -10)

And writing it as a decimal, we get ...

  s -337 = 0.6(t -10)

_____

<em>Additional comments</em>

Adding y1 to both sides of the above form gives you ...

  y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

This is the form I usually prefer to use, because it can lead directly to slope-intercept form. For this problem, the form shown above gets you to the answer you're looking for.

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This "two-point form" is an expansion of the "point-slope form", which is ...

  y - k = m(x -h) . . . . . . . line with slope m through point (h, k)

where the equation for slope is ...

  m = (y2 -y1)/(x2 -x1)

and (x1, y1) is used instead of (h, k).

5 0
3 years ago
Read 2 more answers
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