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wolverine [178]
3 years ago
14

Given the function, state the input variable and the output variable.

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

Step-by-step explanation:

input: 2

output: 9

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A rocket is fired upward from some initial distance above the ground. Its height in​ feet, h,above the​ ground, t seconds after
kirill115 [55]
Check the picture below.

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
h(t) = &{{ -16}}t^2&{{ +96}}t&{{ +2560}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

so.. the maximum point is at   \bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}~~~ft

and it happened after   \bf -\cfrac{{{ b}}}{2{{ a}}}~~~seconds

--------------------------------------------------------------------------

now, when the rocket reaches the ground, as you saw on the picture, y = 0, thus

\bf h(t)=-16t^2+96t+2560\implies 0=-16t^2+96t+2560
\\\\\\
0=-16(t^2-6t-160)\implies 0=t^2-6t-160
\\\\\\
0=(t-16)(t+10)\implies t=
\begin{cases}
\boxed{16}\\
-10
\end{cases}

"t" is an amount in seconds, for this specific phenomena, it cannot be negative, so -10 is not a feasible value.

8 0
3 years ago
Read 2 more answers
Bus A and Bus B leave the bus depot at 8 am.
LenaWriter [7]

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

6 0
3 years ago
Leo's electric car needs to be recharged every 280 miles, so it should travel no more than 140 miles from the charger. If he
nydimaria [60]

Answer:

t ≤ 2.8

Leo can travel no more than 2.8 hours or 2 hrs, 48 min

Step-by-step explanation:

50t ≤ 140

t ≤ 140/50

t ≤ 2.8

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3 years ago
Juicers Inc. is thinking of acquiring Fast Fruit Company. Juicers expects Fast Fruit's NOPAT to be $9 million the first year, wi
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A basketball Ronald 300 m down a hill in 25 seconds. What is its average speed down the hill
Novay_Z [31]
The formula for speed is distance divided by time. 300/25=12. Therefore, the average speed is 12 meters per second. 
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