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Westkost [7]
3 years ago
5

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

h = –16t2+ 36t + 9.
In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary.
What is the ball’s maximum height?
Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0

Answer:

After 5 seconds (c)

Step-by-step explanation:

FinnZ [79.3K]3 years ago
6 0

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(36)/2(-16)

-36/-32

1.125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 36t + 9

h = -16(1.125)^2 + 26(1.125) + 9

29.25 feet

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natta225 [31]

Answer:

y - 4 = 4 (x + 3)

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

y1 is 4, m is 4, and x1 is -3

When you plug them in, you get: y - 4 = 4 (x + 3)

Note: (x - -3) becomes (x + 3)

I hope this helps!!

7 0
3 years ago
Al find a new supplier. He can buy raw peanuts for $.30 for a pound. If he sells the peanuts in a .2-pound bags for $2.50 a bag,
Fofino [41]

Answer:

$1.9

Step-by-step explanation:

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3 0
3 years ago
an employess new salary is 28,140 after getting 5% raise what was salary before increase _and what was last years salary _?
jonny [76]
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105% means 1.05

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Divide each side by 1.05 :

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6 0
3 years ago
A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?
Ratling [72]

Answer:

21\%

Step-by-step explanation:

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l=7\ \text{units}

w=3\ \text{units}

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A=7\times 3=21\ \text{units}^2

Scale factor = 1.1

New dimensions

l'=7\times 1.1=7.7\ \text{units}

w'=3\times 1.1=3.3\ \text{units}

The new area of the rectangle

A'=7.7\times 3.3=25.41\ \text{units}^2

Percentage change is given by

\dfrac{A'-A}{A}\times 100\\ =\dfrac{25.41-21}{21}\times 100=21\%

The percentage by which the area of the rectangle increases is 21\%.

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Sveta_85 [38]
They cross the y axis
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