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Marrrta [24]
4 years ago
9

A scientist launched an object upward at a speed of 32 ft per second from a height of 240 feet. The height of the object is mode

led by the equation h = 240 + 32t – 16t2. After how much time will the object hit the ground? A 3 seconds B 5 seconds C 12 seconds D 20 seconds
Mathematics
1 answer:
QveST [7]4 years ago
3 0

Answer:

B 5 seconds

Step-by-step explanation:

h = 240 + 32t – 16t^2

When is this equation 0

0 = 240 + 32t – 16t^2

Factor out 16

0 = -16(-15-2t+t^2)

   = -16(t^2-2t-15)

What 2 numbers multiply to -15 and add to -2

-5*3 = -15

-5+3 =-2


0 = -16(t-5) (t+3)

Using the zero product property

t-5=0   t+3=0

t=5    t=-3

Since time cannot be negative

t=5 seconds

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Bunty goes 500 km from Delhi towards East direction. Bubly goes 200 km for Delhi towards
Maslowich

Answer:

700 km

Step-by-step explanation:

Distance covered by Bunty = 500 km

Distance covered by Bubbly = 200 km

Displacement between them = 500 + 200 km = 700 km

This means Bubbly has to cover a distance of 700 km to reach Bunty.

8 0
3 years ago
A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine t
devlian [24]
1) We calculate the volume of a metal bar (without the hole).

volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²

Volume=(0.935 m²)(2 m)=1.871 m³

2) we calculate the volume of the parallelepiped

Volume of a parallelepiped= area of the section  x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³

3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar -  volume of a parallelepiped

Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³

4) we calculate the mass of the metal bar

density=mass/ volume  ⇒ mass=density *volume

Data:
density=8.10³ kg/m³
volume=1.551 m³

mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg

answer: The mas of the metal bar is 12.408x10³ kg  or   12408 kg  


4 0
3 years ago
How far can you run in 5/7 of an hour if you run at a speed of 8 2/5 mph?
Mazyrski [523]
Answer: you can run 6 miles


explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6
5 0
4 years ago
Sarah uses a total of 36 sheets of paper for her story. Each chapter is 9 pages , how many pages are in her short story
MariettaO [177]

Answer:

4 pages

Step-by-step explanation:

You divide 36 by 9

4 0
3 years ago
Kent multiplies both sides of the equation below by an expression.
Korolek [52]
The steps below are presented in order to arrive to the value of k of the given equation. 
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,  
            (k + 12/ k)(k) = 8(k)

Then, we simplify,
             k + 12 = 8k
We then, subtract 8k to both sides of the equation,
           k - 8k + 12 = 8k - 8k

Simplifying,
                  -7k + 12 = 0

Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,                  
                     k = 12/7
8 0
4 years ago
Read 2 more answers
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