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Bond [772]
3 years ago
12

A baseball is hit so that the height above the ground is given by the equation h=-16t^2+96t+3, where h is the height in feet and

t is the time in seconds after it is hit. how long does it take the baseball to reach its highest point? how high will it go?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
H'=-32t+96
0=-32t+96
-96=-32t
3=t

3 seconds

H=-16t^2+96t+3
H=48^2+288+3

H=48^2+291
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Place these numbers in order from greatest to least: <br> .27, 25%, 13/50, .274, 7/25, 30%
skad [1K]

Answer:27, 0.3, 7/25, 0.274, 13/50, 0.25

Step-by-step explanation:

6 0
2 years ago
Can someone please help me I keep getting the same answer
beks73 [17]

Answer:

  • (5, -20)

Step-by-step explanation:

<u>Given</u>

  • - 6x + y = -50
  • y = -4x

<u>Solution</u>

  • - 6x + (-4x) = -50
  • -10x = -50
  • x = -50/-10
  • x = 5
  • y = -4*5 = -20

5 0
3 years ago
Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo
erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

 compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

  A=P(1+\frac{r}{n})^{nt} , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ 39500=P(1+\frac{0.095}{365})^{365*10}

∴ 39500=p(2.58539)

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0
3 years ago
Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.
vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0
3 years ago
NO LINKS PLEASE I ACTUALLY NEED HELP THEY'RE 2 PARTS
eimsori [14]
I’m on the same question
3 0
3 years ago
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