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MAXImum [283]
2 years ago
14

A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(

t) = -4.9t^2 + 682.276, where h is in meters. what is the maximum height the ball achieves before landing?
Mathematics
1 answer:
blagie [28]2 years ago
4 0

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

#SPJ1

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3 years ago
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In some? country's Congress, the number of Representatives is 20 less than five times the number of Senators. There are a total
cestrela7 [59]

Answer:

  • Senators: 90
  • Representatives: 430

Step-by-step explanation:

Let s represent the number of Senators in the Congress. Then the number of Representatives is (5s-20) and the total number of members is ...

  s + (5s -20) = 520

  6s = 540 . . . . . . . . . add 20, simplify

  s = 90 . . . . . . . . . . . divide by 6

The number of Senators is 90; the number of Representatives is 430.

_____

You can find the number of Representatives either as 520 -90 = 430 or as 5·90 -20 = 430.

7 0
3 years ago
Suman and Narayan riding bikes towards each other they are 480 Km apart. The speed of Narayan is 6km/hr faster than Suman. If bo
Masteriza [31]

Answer:

Suman 37 km/hr

Narayan 43 km/hr

(extremely sorry if this is wrong!!)

Step-by-step explanation:

We can use the formula distance divided by time is speed.

480/6 = 80.

Their speeds must add up to 80 km/hour

Lets set suman as a variable, lets say s.

Narayan has a speed 6 more than suman so we say 6+s

6+s+s = 80

subtract 6 from both sides

s+s = 74

add like terms

s+s = 2s

2s = 74

divide both sides by 2.

74/2=37

s=37

Suman's speed is 37 km/hr.

Narayan's speed would be 6 more than Suman's so we do 6+37

which makes 43 km/hr

4 0
3 years ago
A coin has 2 sides: heads (H) and tails (T). A bag has 3 balls:1 blue (B), 1 green (G), and 1 yellow (Y)You toss a coin and rand
never [62]

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We have that the possible outcomes are all possible combinations of the faces of the coin and the color of one of the balls.

Therfore, if:

\begin{gathered} H=\text{ head} \\ T=\text{ tail} \\ G=\text{ green} \\ B=\text{ blue } \\ Y=\text{ yellow} \end{gathered}

The possible combinations are:

\lbrace HB,HG,HY,TB,TG,TY\rbrace

Therefore, the right answer is C.

4 0
1 year ago
2.1(0.2x−1.4)=1.3(0.4x−3.5)<br> simplify <br> lots of points
Zina [86]

Answer:

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3 years ago
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