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photoshop1234 [79]
2 years ago
8

An object is thrown upward from the top of 96​-foot building with an initial velocity of 80 feet per second. The height h of the

object after t seconds is given by the quadratic equation h=16t^2+80t+96. When will the object hit the​ ground?
Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

The function of the object height is an illustration of a projectile motion

The object will never hit the ground

<h3>How to determine when the object hits the ground?</h3>

The function is given as:

h=16t^2+80t+96.

When the object hits the ground, h = 0

So, we have:

16t^2+80t+96 = 0

Divide through by 16

t^2+5t+6 = 0

Expand

t^2 + 3t + 2t + 6 = 0

Factorize

t(t + 3) + 2(t + 3) = 0

Factor out t + 3

(t + 2)(t + 3) = 0

Solve for t

t = -2 or t = -3

The time (t) cannot be negative.

Hence, the object will never hit the ground

Read more about projectile motion at:

brainly.com/question/1130127

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OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Step-by-step explanation:

Initially , total home team fans =1000

and away team fans = 700.

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Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is \frac{15}{10}

and in 60 minutes the number of arrival home team fans is \frac{15 \times 60}{10}  

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Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team  leave.

then in  1 minutes \frac{5}{10}  fans leave of away team  leave.

and In 60 minutes \frac{5\times 60}{10} =30  fans leave of away team  leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

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3 years ago
The student council needs to raise at least $950 to pay for their trip to Washington, DC. They have raised $589.55
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Answer:

181 bagels

Step-by-step explanation:

Well how much money did they have to raise more to get to $950? It is $360.45. So now we take $360.45 and divide it by 2 and we get 180.225. But if we round 180.225 they would have to sell at least 181 bagels to raise $950 dollars.

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Answer:

y = 2x+1

Step-by-step explanation:

2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1

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3 years ago
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Answer:

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Step-by-step explanation:

Remember The z is the hypathonous, it means the biggest side.

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put this all together

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