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drek231 [11]
3 years ago
15

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is

height in feet and 't' is time in seconds. Height of the clown
Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

t = 3.11 seconds

Step-by-step explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

h = -16t^2 + 45t + 15

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

-16t^2 + 45t + 15=0

We need to solve for t. It can be calculated as follows :

t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s

So, the required time is 3.11 seconds.

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The winner of a race ran the distance in 45s at an average speed of 9.6 m/s. The runner who came in last finished and 48 seconds
RSB [31]

Answer:

The answer to your question is speed = 9 m/s

Step-by-step explanation:

Data

Winner                                 Last runner

time = 45 s                           time = 48 s

speed = 9.6 m/s

Process

1) Calculate the distance they ran using the data of the winner

      speed = distance / time

-Solve for distance

      distance = speed x time

-Substitution

      distance = (9.6)(45)

-Result

      distance = 432 m

2.- Calculate the speed of the last runner

-Substitution

      speed = 432/48

-Result

     speed = 9 m/s

3 0
3 years ago
Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts.
Eduardwww [97]

Answer:

C

Step-by-step explanation:

The ratio of nuts is .60 in the first bag and .7 in the second bag. Therefore C would be the answer.

6 0
3 years ago
Find the y? 3x + 6y = 12
kari74 [83]

Could you give Brainliest please???

Answer:

y = 2 - 1/2x

Step-by-step explanation:

So we are given the equation 3x + 6y = 12 and are ask to find y.

To find y you must isolate it first.

3x + 6y = 12

(Subtract 3x to isolate the y term)

6y = 12 - 3x

(Divide both sides by 6 to isolate the variable)

y = 2 - 3/6x

(Simplify)

y = 2 - 1/2x

And that is your answer since there is a second variable.

5 0
3 years ago
Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?
goldenfox [79]

Answer:

$2.50

Step-by-step explanation:

8.75 / 7= 1.25

1.25 * 2 =2.50

4 0
3 years ago
The expression below in standard form.<br> 3h - 2(1 + 4h)
fgiga [73]

Answer:

I assume by standard you mean simplified. Anyways, the answer is -5h-2.

Step-by-step explanation:

3h-2(1+4h)

Solve inside the parenthesis.

3h-2+(-8h)

Simplify.

-5h-2

4 0
4 years ago
Read 2 more answers
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