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Scrat [10]
3 years ago
6

A ball is thrown vertically upward from the top of a building 160 feet tall with an initial velocity of 48 feet per second. The

distance d (in feet) of the ball from the ground after t seconds is d(t) = 160 + 48t - 16t^2.
After how many seconds does the ball strike the ground? Please explain if you can!
When will the ball reach its maximum height? What is the maximum height of the ball? Please explain if you can!
Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

# after 5 seconds, the ball strikes the ground

# The ball reaches maximum height at t = 1.5 seconds

# The max height is 196 feet

Step-by-step explanation:

The equation is:

d(t)=-16t^2+48t+160

t is the time

d(t) is the distance traveled

Initial height is 160 feet and initial velocity is 48 ft/sec

If we want to find the time it takes the ball to hit the ground, we let d(t) equal to 0 and find t. Shown below:

-16t^2+48t+160=0\\t^2-3t-10=0\\(t-5)(t+2)=0\\t=5,-2

We disregard t = -2 since time can't be negative. We take t = 5

Thus, after 5 seconds, the ball strikes the ground.

The equation is a quadratic of the form: ax^2+bx+c

Matching equations, we can say:

a = -16

b = 48

c = 160

The time when ball reaches max height is given as:

t=-\frac{b}{2a}

Substituting, we find:

t=-\frac{b}{2a}\\t=-\frac{48}{2(-16)}\\t=1.5

The ball reaches maximum height at t = 1.5 seconds

The max height can be found by putting t = 1.5 into the original equation. Shown below:

d(t)=-16t^2+48t+160\\d(1.5)=-16(1.5)^2+48(1.5)+160\\=196

The max height is 196 feet

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Vaselesa [24]

Answer:

Step-by-step explanation:you flip the second fraction and multiply that

8 0
3 years ago
6-3/4x+1/3=1/2x+5 what number can be used to get rid of all fractions
Yanka [14]

The number can be used to get rid of all fractions is 12

<h3>What number can be used to get rid of all fractions?</h3>

The equation is given as:

6 - 3/4x + 1/3 = 1/2x + 5

The denominator of the fractions are:

4, 3 and 2

The LCM of 4, 3 and 2 is 12

So, we have:

12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]

Evaluate the products

72 - 9x + 12 = 6x + 60

Hence, the number can be used to get rid of all fractions is 12

Read more about fractions at:

brainly.com/question/11562149

#SPJ1

7 0
1 year ago
The following data represent the monthly rent of 10 two-bedroom condos in Oviedo, Florida.
romanna [79]

Answer:

20th percentile.

Step-by-step explanation:

Concept of a percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Determine the percentile of the condo with a monthly rent of $1,150

There are 10 values.

8 are higher than $1,150.

2 are $1,150 or lower.

2/10 = 0.2 = 20%

So the condo with a monthly rent of $1,150 is in the 20th percentile.

5 0
3 years ago
You haft too use elimination to solve this thank you
lakkis [162]

Answer:

x=0, y=-2

Step-by-step explanation:

Because 9y appears twice in both equations, you can subtract the equations to eliminate the y variable so you can solve for x:

-7x + 9y = -18

-(4x + 9y = -18)

__________

-11x = 0

x = 0

Since we know x=0, then we plug it back into one of the equations to get the value of y:

-7x + 9y = -18

-7(0) + 9y = -18

0 + 9y = -18

9y = -18

y = -2

Therefore, x=0, and y=-2

5 0
3 years ago
14-3(5t-12)=1-(20t+1)<br> How am I supposed to do this?
Nuetrik [128]
Expand by multiplying out:

14-15t + 36 = 1 -20t -1,
Because of the minus before the bracket, it changes the sign inside the bracket
-15t + 20t  = 1-1-14-36  Rearranging the ts on one side and the numbers on other
                                   side.
5t = -50  Divide both sides by 5.
t =  -50/5
t = -10.


5 0
3 years ago
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