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mylen [45]
3 years ago
9

Does anyone know the answer?

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

The third one

Step-by-step explanation:

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Multiply and simplify 8 times 3/10
ad-work [718]

Answer:

2.4 Hope this helped

Step-by-step explanation:

8/1 x 3/10

24/10

2.4

7 0
3 years ago
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kvasek [131]

Answer:

the answer would be choice A

3 0
3 years ago
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75% of students were boys. there 18 boys in the class wht is the total number of students
Kaylis [27]

Answer:

the answer is 24.

Step-by-step explanation:

5 0
3 years ago
Julie makes and sells shirts for children and adults. She sells the shirts for $20 per unit. Material for
Alisiya [41]

Answer:

Julie need to sell at least 45 shirts to break even.

Step-by-step explanation:

The  selling cost of each shirt = $ 20

Cost of each shirt = $6

The fixed cost per month = $420

Number of shirts she can make = 80

Hence, the <u>cost of making 80 shirts</u> =  80 x $6  = $480

So, her total capital investment of the month

= Cost of shirts made + Fixed cost = $420 + $480 = $900

Now, let us assume she sell k number of shirts.

⇒ $20 x k  = $900

or, k = 900 / 20 = 45

or, k = 45

Hence, Julie need to sell at least 45 shirts to break even.

6 0
3 years ago
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