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maxonik [38]
3 years ago
14

The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

ation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

(a)\ -16t^2 + 7t + 63=0

(b)\ t = 2.215

Step-by-step explanation:

Given

h(t) = -16t^2 + 7t + 63

Solving (a): Equation when it hits the ground.

This means that h(t) = 0

So, we have:

h(t) = -16t^2 + 7t + 63

-16t^2 + 7t + 63=0

Solving (b): The value of t in (a)

-16t^2 + 7t + 63=0

Using quadratic formula, we have:

t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

This gives:

t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}

t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}

t = \frac{-7 \± \sqrt{4081}}{-32}

t = \frac{-7 \± 63.88}{-32}

Split

t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}

t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}

t = -1.7775; or\ t = 2.215

Time can't be negative; So:

t = 2.215

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Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

7 0
2 years ago
Which of the following is an example of a permutation?
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Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.

<h3>What are Permutation and Combination?</h3>

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.

Hence, the correct option is D.

Learn more about Permutation and Combination:

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7 0
2 years ago
the ratio of large triangles to small triangles is 2-6 .If there are 100 triangles in the design ,how many small triangles are t
m_a_m_a [10]

Answer:

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Step-by-step explanation:

1. Reduce the ratio: 2-6 = 1-3

2. Write each of them as a fraction of a whole:

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3. Multiply the ratio to get the answer: 3/4 * 100 = 75

6 0
3 years ago
2x+y=7 for y neeedd help
masya89 [10]

Answer:

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Step-by-step explanation:

<u>Solve for y:</u>

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Add - 2x to both sides

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278 megabytes is being downloaded.12.9 is complete.how many have been downloaded, round to nearest tenth.​
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Answer:

13 gb have been downloaded.

Step-by-step explanation:

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