A firecracker shoots up from a hill 140 feet high, with an initial speed of 100 feet per second. Using the formula H(t) = −16t2 + vt + s, approximately how long will it take the firecracker to hit the ground?A: Five seconds
B: Seven seconds
C: Nine seconds
D: 11 seconds

Answers

Answer 1
Answer: H(t) = −16t^2 + vt + s


H(t) = −16t^2 + 100t + 140

H(t) = 0 =
−16t^2 + 100t + 140

16t^2 - 100t -140 = 0

t = [100 +/- √ (100^2 -4(16)(-140) ) ] /(2(16))

t = 7.43 and t = - 1.18.

El que tiene sentido para la pregunta es t = 7.43 s.

Option B) 7 s (approximately)


Answer 2
Answer:

Answer: it’s b, 7 seconds. Just took the test

Step-by-step explanation:


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Answers

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A recursive function is shown below:f(1) = 2 and f(n) = f(n - 1) - 5; n > 1

Which of the following lists the terms in the sequence defined by this recursive function? (4 points)


2, 3, 8, 13, 18, ...
2, 7, 12, 17, 22, ...
2, -3, -8, -13, -18, ...
2, -7, -12, -17, -22,

Help ill give medal or anything!!!

Answers

f(1)=\fbox2\ and\ f(n)=f(n-1)-5\n\underline{f(2)}=f(2-1)-5=f(1)-5=2-5=\fbox{-3}\n\underline{\underline{f(3)}}=f(3-1)-5=\underline{f(2)}-5=-3-5=\boxed{-8}\nf(4)=f(4-1)-5=\underline{\underline{f(3)}}-5=-8-5=\boxed{-13}\n\vdots\nAnswer:\boxed{\boxed{2;-3;-8;-13;-18;...}\leftarrow answer}

Help!! Thank you so much beforehand

Answers

X = 44
It's a x 4 growth
your answer would be X=64

Justin wants to use 376ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

Answers

If the perimeter is fixed, the greatest possible area is a circle, and the next greatest is a square.

Justin should use his 376 ft of fence in a square with sides of 94 ft. The area will be 8,836 square feet. (94 x 94).

What is the circumference of a circle with a diameter of 45 centimeters? A. 282.7 centimeters
B. 70.7 centimeters
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D. 141.4 centimeters

Answers

Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.
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Solve the ecuation:x=\frac{[x]+2012}{\{x\}+2013}

where [x] is the whole part of the number x and {x} is the fractional part of the number x.

Answers

Scrii x = [ x ] + { x } ;
Folosesti proprietatea fundamentala a proportiilor;
Apoi, exprimi [ x ] in functie de { x }, si obtii ca :
[ x ] = ( 2012 - { x } ^2 - 2013{ x } ) / ( 2012 + { x } ) ;
Fie { x } = t ∈ [ 0 , 1 ) ;
 Obtii ca [ x ] = - t - 1 + 4024 / ( t + 2012 ) ;
Stim ca [ x ] ∈ Z ;
Atunci t = 0 sau t = 2012 ;
Convine numai t = 0 => x = [ x ] ;
Ecuatia originala va avea solutia 1.

Bafta!