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Mashcka [7]
3 years ago
5

Amir pitches a baseball at an initial height of 6 feet, with a velocity of 73 feet per second. If the batter misses, about how l

ong does it take the ball hit the ground?
Hint: Use H(t) = -16t^2+vt+s
Mathematics
2 answers:
yarga [219]3 years ago
8 0

Answer:

4.643 seconds

Step-by-step explanation:

We have been given that

s = 6 feet

v = 73 feet per second

Substituting these values in the formula H(t)=-16t^2+vt+s

H(t)=-16t^2+73t+6

When the ball hits the ground, the height becomes zero. Thus, H(t)=0

-16t^2+73t+6=0

We solve the equation using quadratic formula x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substituting the values a=-16,\:b=73,\:c=6

t_{1,\:2}=\frac{-73\pm \sqrt{73^2-4\left(-16\right)6}}{2\left(-16\right)}\\\\=\frac{-73\pm\sqrt{5713}}{-2\cdot \:16}\\\\=-0.081,4.643

time can't be negative. Hence, t = 4.643.

Hence, the ball will take  4.643 seconds to hit the ground.

JulijaS [17]3 years ago
6 0
Hey! The correct time is 4.64 seconds.
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Volgvan

Answer:

c

Step-by-step explanation:

c because 11 and 16 have no GCF other than 1

4 0
2 years ago
Read 2 more answers
HELP ASAPJennifer and Chris completed some chores and split the earnings in the ratio 3:2. Jennifer earned $48.
elixir [45]

Let the total earnings be = x

Jennifer and Chris split the earnings in the ratio 3:2

Jennifer earned = $48

\frac{3x}{5}=48

3x=240

x=80

Hence total earnings are $80

(a) Chris earning is = \frac{2x}{5}=\frac{2*80}{5}=32

Hence, Chris earns $32

(b) Jennifer spends 30% of her earnings on a book.

So, price of the book = \frac{30}{100}\times48

Price of book = $14.40

(c)  Jennifer also buys a magazine for = $5.40

So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80

Money left with Jennifer = 48-19.80= $28.20

In fractions = \frac{28.20}{48}

or multiplying the numerator and denominator by 10, we get

\frac{282}{480}=\frac{47}{80}

(d) Let the original price of the shirt = x

reduction percentage on x= 40%

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\frac{40x}{100}=16.80

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8 0
3 years ago
William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and
astra-53 [7]
Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
14x3=42
34+42=76

So Charmaine is 14
William is 17
4 0
2 years ago
A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?
krek1111 [17]
Answer:
acceleration = 3 m/s²

Explanation:
From Newton's second law:
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We are given that:
Force = 6 Newton
mass = 2  kg

Substitute with the givens in the above equation to get the acceleration as follows:
Force = mass * acceleration
6 = 2 * acceleration
acceleration = 6 / 2 = 3 m/s²

Hope this helps :)

8 0
3 years ago
PLEASE ANSWER ASAP! GIVING BRAINLIEST! PLS THIS IS A TEST!
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Answer:

Each Person should owe  30$.

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3 0
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