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Naddik [55]
3 years ago
15

Evaluate (-32) 7/5 The solution is

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

- 224/5

Step-by-step explanation:

DECIMEL FORM = -44 4/5

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The height (in ft) of an object over time(in seconds) is modeled by the function h(t)=-6t^2+23t+7. How high is the object after
riadik2000 [5.3K]

About 4.1 seconds. How long was the ball in the air? We are told that t represents time in seconds since the ball was thrown, so it started to be 'in the air' at t = 0 To answer the question, then, we need to know the time when it stopped being in the air. We are told that the ball hit the ground. So that's what happened when it stopped being airborne. We need to relate that event to the mathematics we're working with. What can we say about h , the height of the ball when the ball hits the ground? Answer: The height will be 0 when the ball stops being in the air. Now translate this back to the mathematics: The ball is in the air from t = 0 until the time t when h = 0 . Find the time t that makes h = 0 . That means: solve: − 5 t 2 + 20 t + 2 = 0 We can solve this by solving: 5 t 2 − 20 t − 2 = 0 (Either multiply both sides of the equation by − 1 , or add 5 x 2 − 20 x and − 2 to both sides and then re-write it the other way around) That's a quadratic equation, so try to factor first. But don't spend too much time trying to factor, because not every quadratic is easily factorable and that's OK, because we still have the quadratic formula if we need it. We do need it. t = − ( − 20 ) ± √ ( − 20 ) 2 − 4 ( 5 ) ( − 2 ) 2 ( 5 ) = 20 ± √ 440 10 = 20 ± √ 4 ( 110 ) 10 = 20 ± 2 √ 110 10 = 2 ( 10 ± √ 110 ) 2 ( 5 ) = 10 ± √ 110 5 We can see that 10 < √ 110 < 11 . In fact ( 10 + 1 2 ) 2 = 10 2 + 10 + 1 4 = 110.25 Using 10.25 as an approximation for √ 110 , we get : for the solution t = 10 − √ 110 5 we'll get a negative t . That doesn't make sense. The other solution gives t ≈ 10 + 10.25 5 = 20.5 5 = 4.1 seconds. So the ball was in the air from t = 0 until about t = 4.1 . The elapsed time is the difference, 4.1 seconds.

5 0
2 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth. If measure B= 60 degrees and a = 10
Tamiku [17]
I need you to post a diagram.
However, you are describing a 30 60 90 triangle and here is a good page to learn about those: http://www.1728.org/trig2.htm



3 0
3 years ago
Read 2 more answers
Decimals to fractions 3/4=?
GrogVix [38]
.75 is the decimal form of 3/4
7 0
3 years ago
What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of 11 1/2 inches?
ivann1987 [24]

Answer:

2070 inches

Step-by-step explanation:

V = W x L x D

  = 18 x 10 x 11.5 = 2070 inches

7 0
3 years ago
Peter spent $450 on groceries in 3 months.What is the amount he spent every month on groceries, if he spent the same amount ever
WITCHER [35]
The amount he spends per week is 450/3=$150.
6 0
3 years ago
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