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IRINA_888 [86]
3 years ago
7

A disc is thrown into the air with an upward velocity of 20 ft/sec. Its height h in feet after t seconds is given by the functio

n h = -16t² + 20t + 6. How long does it take for the disc to be caught 3 feet off the ground
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

Time t = 1.39 seconds

Step-by-step explanation:

Given;

Initial velocity v = 20 ft/sec

height equation;

h = -16t^2 + 20t + 6

How long does it take for the disc to be caught 3 feet off the ground;

At this point h = 3

Substituting h = 3 into the height equation;

3 = -16t^2 + 20t + 6

-16t^2 + 20t + 6 - 3 = 0

-16t^2 + 20t + 3 = 0

Solving the quadratic equation;

t = 1.39 or t = -0.14

Since t cannot be negative;

Time t = 1.39 seconds

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the summer camps had a field trip from the campus to fragrance hill. they traveled at an average speed of 65km/h in the first tw
sergejj [24]

Answer:

I took them a total of 5 hours

Step-by-step explanation:

First you multiply 65 by 2 because of the first two hours

Then you subtract 130 out of 364 to get 234, those were the first two hours

The next hours you simply divide 234/78, which is 3

3 + 2 = 5 hours

4 0
2 years ago
If x varies directly with y and x = 2.5 when y = 10, funny x when y = 16.
amid [387]

Answer:

Should be 4.0(Not sure tho. my thought process is complicated but to me it makes sense)

Step-by-step explanation:

If y=10 and x =2.5, if y were to = 20, then x would equal 5. so you take that ratio, and say 6 is 3/5's the way to 10, so you also divide 2.5 by 3/5

you get 1.5, you add that to x already and you get 4.0

so if y=16, x should =4.0

3 0
3 years ago
Which fraction correctly shows the probability of14 favorable outcomes and 37 possible outcomes?
zepelin [54]

Answer: 14/37

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Use the substitution method to solve the system of equations choose the correct ordered pair
Gekata [30.6K]

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

I hope this helped you and that I clearly elaborated on the answer choice.

4 0
3 years ago
Frederick tossed a number cube and then tossed a coin 100 times as part of an experiment. He recorded the number of times he tos
bekas [8.4K]
Hello!

You have to add how many trials he did

41 + 19 + 28 + 12 = 100

Now you look for the box that has 6 and tails

It has a 12 in it

You do 12/100

This can be reduced to 3/25

The answer is A

Hope this helps!
6 0
3 years ago
Read 2 more answers
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