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klemol [59]
3 years ago
12

WILL GIVE BRAINIEST A ball is thrown from a height of 45 meters with an initial downward velocity of 5/ms. The ball's height h (

in meters) after t seconds is given by the following. =h−45−5t5t2 How long after the ball is thrown does it hit the ground?
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer:

2.16 s

Step-by-step explanation:

When it hits the ground, height h=0 hence

0=45-10t-5t^{2}

5t^{2}+10t-45=0

t^{2}+2t-9=0

Using quadratic formula

x=-1+\sqrt 10\\ x=-1-\sqrt 10

Since time can't be negative, -1+\sqrt 10

t=2.16 s

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180 degrees

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A≈1256.64 m² thats the answer
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Write the log equation as an exponential equation. You do not need to solve for x.
V125BC [204]

Answer:

(x-6)^3x-5 =6

Step-by-step explanation:

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7 0
3 years ago
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
2 years ago
I need help with three and four
mart [117]

Answer:

3: a^{2}+2ab+b^{2}

4: 8x^{3} -12x^{2}+6x-1

Step-by-step explanation:

Question 3 can be re-written as:

(a+b)(a+b)

which equals:

a^{2}+2ab+b^{2}

Question 4 can be re-written as:

(2x-1)(2x-1)(2x-1)

Doing the first 2 brackets gives us:

(4x^{2} -4x+1)(2x-1)

Expanding these two:

8x^{3} -4x^{2} -8x^{2} +4x+2x-1

Simplifying it:

8x^{3} -12x^{2}+6x-1

4 0
2 years ago
Read 2 more answers
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