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Troyanec [42]
3 years ago
15

A batter hits a baseball 4 feet above the ground with an upward velocity of 59 feet per second. The function h(t) = -16t^2 + 49t

+ 4 gives the height h (in feet) of the baseball after t seconds. How long is the ball in the air if a player on the other team catches the ball 7 feet above the ground?
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

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-3 + 10y – 8y + 4 – 6 + y simplify
Darya [45]

Answer:

3y - 5

Step-by-step explanation:

We combine like terms. The y terms are 10y, -8y and y which combine to 3y. Think of it like having 10 items, take away 8 items but then add on 1 more. So we'd have 10-8+1 = 2+1 = 3 items overall. Replace "Items" with y and we have 10y-8y+1y = (10-8+1)y = 3y

The other terms are constant terms as they dont have any variables attached to them. These terms are -3, 4 and -6 which combine to -3+4-6 = 1-6 = -5

In summary, the y terms combine to 3y while the constant terms combine to -5. Put together, the fully simplified answer is 3y-5

7 0
3 years ago
Read 2 more answers
John's gross monthly salary is $2,000 starting next month, John receives a 15% raise power month. also starting next month, 30%
timama [110]

John's gross monthly salary is $2000.

John receives a 15% raise in his salary.

So first we have to find 15% of $2000.

15% of 2000 = (2000)(\frac{15}{100})

= \frac{(2000)(15)}{100}

= \frac{30000}{100}

= 300

John's salary including the raise = $(2000+300) = $2300.

Now 30% of his monthly paycheck withheld for taxes.

30% of 2300 = (2300)(\frac{30}{100})

= \frac{(2300)(30)}{100}

= \frac{69000}{100}

= 690

So the amount of tax deducted = $690.

John's net monthly income = $ (2300-690) = $1610.

So we have got the required answer.

5 0
3 years ago
The Hiking Club plans to go camping in a State park where the
ozzi

Answer: Probability is 0.00205 = 0.205%

Step-by-step explanation: P(rain) = 0.71, P(no rain) = 0.29.

P(no rain in 5 days)= 0.29·0.29·0.29·0.29·0.29= 0.00205

5 0
3 years ago
Please answer- what is the length of BW? ANSWER DIRECTLY NO LINK ( will give brainlist to whoever answers)
Yuki888 [10]

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

4 0
3 years ago
Need help plzz I am struggling
otez555 [7]

The equation you need to find x is,

12x^{\circ}+30^{\circ}=90.

Then solving for x gives you x=5.

Hope this helps.

7 0
3 years ago
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