MATHEMATICS COLLEGE

H= -16t^2+16t+192 When will the ball hit the​ ground?

Answers

Answer 1
Answer:

Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is  16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

or

t + 3 = 0

t = -3 s  which we ignore as it occurs before the ball is released.

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Andrew is paid per hour the first 30 hours he works each week. He makes $per hour for each hour he works over 30 hours per week other words total wages fixed wages for 30 hours additional wages at 5 per hour. Apply function notation to answer the following questions about Andrew's wages, Part A Write a function that gives Andrews total wages when he works more than 30 hoursUse the variables w for wages and h for hours. My question is Explain how this real-life situation is a function. What are the function's input, output, domain, and range?

Answers

Answer:

input is your hours

output is your money

domain is all numbers greater than/equal to 0

range is any number greater than/equal to the amount of money you make per hr

Andrew’s total wages are a function of the number of hours he works. The input of this function is the total number of hours worked. The output is the total wages earned.

The domain is the number of hours that Andrew can work in a week. A week has 168 hours. He works for 30 hours regularly. So, the domain is D = {30, 31, 32, … , 168}.

Of course, it is unrealistic to expect Andrew to work 24 hours a day for an entire week. 168 simply represents the total possible hours to work.

The range is the money Andrew can make working his usual 30 hours plus any extra hours at $5 per hour: R = {120, 125, 130, ... , 810}.

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean of $37,200 and a standard deviation of $800. About 68% of the incomes lie between what two incomes

Answers

Answer:

68% of the incomes lie between $36,400 and $38,000.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  $37,200

Standard Deviation, σ = $800

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical rule:

  • Almost all the data lies within three standard deviation of mean for a normally distributed data.
  • About 68% of data lies within one standard deviation of mean.
  • About 95% of data lies within two standard deviation of mean.
  • About 99.7% of data lies within three standard deviation of mean.

Thus, 68% of data lies within one standard deviation.

\mu \pm \sigma\n=37200 \pm 800\n=(36400,38000)

Thus, 68% of the incomes lie between $36,400 and $38,000.

Evaluate a2 + b2 + c2 for a = -5, b = -2, and c = 3.

Answers

Step-by-step explanation:

(-5)² + (-2)² + 3²

= 25 + 4 + 9

= 38

Problem 5.Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?​

Answers

Answer:

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Step-by-step explanation:

He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.

He definitely have to convert the pints to ounces.

1 pint = 16 ounces

Recall he has to dissolve the medicine in 1 pint 4 ounces of water.

Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces  = 20 ounces.

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Stor (34 20 +27 +21 +29+19)Step 2: 34 - 25 =9 20-25=-5
27 - 25= 2 21 - 25 = -4
29 - 25 = 4 19 - 25 = -6
Step 3: 9+ (-5) + 2 + (-4) + 4+ (-6)=0
Step 4:
O = 0

Answers

Answer:

what is the question???

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We loveeeeeee the earth it is our planet
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