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Arlecino [84]
3 years ago
14

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms . The ball's height h (in meters) af

ter t seconds is given by the following. =h+2−9t5t2 Find all values of t for which the ball's height is 3 meters. Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms

Balls height h= 2 +9t -5t^2

To find all values of t for which the ball's height is 3 meters

We plug in 3 for h and solve for t

h= 2 +9t -5t^2

3 = 2 +9t -5t^2

Solve for t

0= -1+ 9t -5t^2

5t^2 - 9t + 1 = 0

Solve using quadratic formula

t= \frac{-b+- \sqrt{b^2-4ac} }{2a}

t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}

After simplifying this,

t= \frac{9+\sqrt{61}}{10} = 0.11898

t= \frac{9-\sqrt{61}}{10} = 1.68102

the values of t for which the ball's height is 3 meters= 0.12 sec , 1.68 sec

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A) V = P + PRT
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5 0
3 years ago
What 3 consecutive integers equal 84
Murrr4er [49]

First represent your 3 consecutive integers as follows.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.

Simplifying on the left side we get 3x + 3 = 84.

Now subtract 3 from both sides to get 3x = 81.

Dividing both sides by 3, we find that <em>x = 27</em>.

Finally, make sure you list all your answers.

If <em>x </em>is 27 then <em>x </em>+ 1 is 28 and <em>x </em>+ 2 is 29.

5 0
3 years ago
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Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Mekhanik [1.2K]

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

  1. The equation is 89 = x + (x-9).
  2. Remove the parenthesis and combine the like terms. 89 = 2x - 9
  3. Add 9 on both sides. 98 = 2x
  4. Divide by 2 on both sides. x = 49
  5. 49 is the age of Alvin. (49-9) 40 is the age of Elga.
7 0
3 years ago
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Solve for y 2x+y-3z=5
Elza [17]

Answer:

<h3>A. y=-2x+3z+25</h3>

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<u>To solve:</u>

  • The value of y.

\Longrightarrow: \sf{\sqrt{2x+y-3z}=5}

<h3>2x+y-3z=25</h3>

<u>First, you have to subtract by 2x-3z from both sides.</u>

\Longrightarrow: \sf{2x+y-3z-\left(2x-3z\right)=25-\left(2x-3z\right)}}

<u>Solve.</u>

\Longrightarrow: \boxed{\sf{y=25-2x+3z}}}

  • <u>Therefore, the correct answer is "A. y=-2x+3z+25".</u>

I hope this helps, let me know if you have any questions.

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Romashka-Z-Leto [24]

Answer:

400 miles

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