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ollegr [7]
3 years ago
9

A t-shirt is launched into the stands at a game. The equation h(x) = -16x2 + 48x + 6 models the relationship between time x and

the height of the t-shirt h(x). List the calculation you must complete to find the answer to each question.
1. How high off the ground is the t-shirt launcher?
2. How high is the t-shirt after 1 second?
3. When does the t-shirt reach its maximum height?
4. What is the maximum height of the t-shirt?
5. When will the t-shirt reach the ground again if nobody catches it?
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

1)  6 feet

2) 38 feet

3)  at 1.5 seconds

4) 42 feet

5) in 3.12 seconds

Step-by-step explanation:

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disa [49]
D = r*t

100meters = r*11

100/11 = r

9 ≈ r

9 about meters a second
4 0
3 years ago
he exponential model Upper A equals 347.5 e Superscript 0.024 t describes the​ population, A, of a country in​ millions, t years
yulyashka [42]

Answer:

The population of the country will be 510 million during the year of 2018.

Step-by-step explanation:

The exponential model for the population, in millions, t years after 2003 is.

P(t) = 347.5e^{0.024t}

Use the model to determine when the population of the country will be 510 million.

t years after 2003, in which t is found when P(t) = 510. So

P(t) = 347.5e^{0.024t}

510 = 347.5e^{0.024t}

e^{0.025t} = \frac{510}{347.5}

Applying ln to both sides, so we can find t

\ln{e^{0.025t}} = \ln{\frac{510}{347.5}}

t = \frac{\ln{\frac{510}{347.5}}}{0.025}

t = 15.35

15.35 years after 2003, so during the year of 2018.

The population of the country will be 510 million during the year of 2018.

6 0
4 years ago
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

7 0
3 years ago
What is the equation of the line that passes through the point (-1, -1l) and<br> has a slope of -6?
STatiana [176]

Answer:1/2x+6.

Step-by-step explanation:

I think this is right

6 0
3 years ago
What is 64% of 680kg
Anuta_ua [19.1K]

Answer:

435.2kg (1DP)

Step-by-step explanation:

0.64x680

64 divided by 100 = 0.64

4 0
3 years ago
Read 2 more answers
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