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hammer [34]
4 years ago
11

A ball was thrown upward and its height is modeled by the function h(t) = -4.9t^2 + 58.8t + 98, where h is the height of the bal

l in meter and t is the time in seconds that the ball is in the air. Find the maximum height of the ball to the nearest meter.
Mathematics
2 answers:
Free_Kalibri [48]4 years ago
8 0

Answer:

274 meters

Step-by-step explanation:

The function is a downward parabola.  So the highest point is at the vertex.

t = -b / (2a)

t = -(58.8) / (2 × -4.9)

t = 6

Evaluate the function at that point:

h(6) = -4.9 (6)² + 58.8 (6) + 98

h(6) = 274.4

Rounded to the nearest meter, the maximum height reached is 274 meters.

mr Goodwill [35]4 years ago
5 0
The answer is 15 meters
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USPshnik [31]

Answer:

1560 in^2

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3 years ago
There are 96 female staff in an office. If the ratio of male staff to female staff is 3:4, find the number of male staff​.
Alex

Answer:60 male staff

Step-by-step explanation:

Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.

4 0
3 years ago
Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup
Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

\frac{2}{3} x

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\frac{1}{4}  \times  \frac{1}{3}  \\  =  \frac{1}{12} x

Vanilla =

x -  \frac{2}{3} x -  \frac{1}{12}x \\  =  \frac{1}{3} x -  \frac{1}{12} x \\   =  \frac{1}{4} x

given

\frac{1}{4} x = 90

x = 90 \div  \frac{1}{4}  \\  = 90 \times 4 \\  = 360

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\frac{2}{3}  \times 360 \\  = 240

b)Number of Strawberry cupcakes =

\frac{1}{12}  \times 360 \\  = 30

8 0
3 years ago
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