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sladkih [1.3K]
3 years ago
8

A plane traveled 2464 miles to San Francisco from Boston. With the wind to San Francisco, it took 14 hours. Into the wind from S

an Francisco, back to Boston, the same trip took 16 hours. How fast is the plane traveling when there is no wind? What is the wind speed?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

Step-by-step answer:

Given:

Distance = 2464 miles

downwind time = 14 hours

upwind time  = 16 hours

Solution:

downwind speed  = 2464 / 14 = 176 mph

upwind speed = 2464 / 16 = 154 mph

Average speed = still air speed

= (176+154)/2

= 330/2

= 165 mph

Time required

= 2464 / 165

= 14.933 hours

= 14 hours 56 minutes.

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure
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Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

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Step-by-step explanation:

we are given

The ball follows a path given by the equation

y=-0.01x^2+0.5x+3

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

8=-0.01x^2+0.5x+3

8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100

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x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}

x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)

x=13.82,x=36.2

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(b)

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4 years ago
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Step-by-step explanation:

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Please Help practice #3
algol [13]

Answer:

(2x+5)(4x+3)

Step-by-step explanation:

Given the expression 8x^2 + 26x + 15

Factorize

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