Mathematics College

A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by
h(t) = −4.9t(squared) + 20t + 12.
How long does it take to reach maximum height? (Round your answer to three decimal places.)

Answers

Answer 1

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

What time does the ball take to reach maximum height?

The height of the ball as a function of time is modelled by a quadratic equation, the required information can be found by transforming the expression into vertex form:

h = - 4.9 · t² + 20 · t + 12

h = - 4.9 · (t² - 4.082 · t - 2.449)

h + (- 4.9) · (6.615) = - 4.9 · (t² - 4.082 · t + 4.166)

h - 32.414 = - 4.9 · (t - 2.041)²

The ball takes approximately a time of 2.041 seconds to reach its maximum height.

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Related Questions

Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
​

Answers

Step-by-step explanation:

bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar

What is the average rate of change in temperature from February to May?

Answers

Answer:

27 degrees

Step-by-step explanation:

Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points

Answers

Answer:

14 points in between

Step-by-step explanation:

just count how many spaces are in between those points on the graph

5/6+5/12

For brainliest

Answers

Answer:

5/4

Step-by-step explanation:

5/6+5/12

or, {(5×2)+5}/12

or, 15/12 = 5/4

The answer to this question is 5/4

David needs to travel 111 kilometers. Driving at a constant rate, he expects the trip to take him 3 hours. At what constant rate does David expect to drive?

Answers

Answer:

37 i got it right on the test

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

i just got it right

Write the word sentences as an equation! Half of a number q is 14.

Answers

Answer:

q/2=14

I hope this helped you :)

What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?​

Answers

Answer:

Step-by-step explanation:

It depends on whether the 30 cm side is the hypotenuse, or one of the legs.

If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm

If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm

De acuerdo a la siguiente imagen, selecciona la opción que muestre la operación que permite llegar al número encerrado en color rojo.



​

Answers

Answer:

2?

Step-by-step explanation:

I think im wrong/ creo que estoy mal?!

I need help asap
I will need help finding a and b

Answers

Answer:

(a) [tex]s = 2.56[/tex]

(b) [tex]s = 1.71[/tex]

Step-by-step explanation:

Given

Tables (a) and (b)

Required

Determine the standard deviation

For (a):

[tex]\bar x = 11.5[/tex] --- mean

The standard deviation is calculated as:

[tex]s = \sqrt{\sum np(1-p)}[/tex]

This gives:

[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]

[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]

[tex]s = \sqrt{6.55}[/tex]

[tex]s = 2.56[/tex]

For (b):

[tex]\bar x = 4.4[/tex] --- mean

The standard deviation is calculated as:

[tex]s = \sqrt{\sum np(1-p)}[/tex]

This gives:

[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]

[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]

[tex]s = \sqrt{2.92}[/tex]

[tex]s = 1.71[/tex]

find the value of Tan 45°​

Answers

Answer:

The exact value of tan(45°) is 1

Step-by-step explanation:

I hope it's helpful!

Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 days?

Answers

2 2/3 rows

4x2=8 (8/3)
8/3= 2 2/3

Evaluate 4x - 2y when x= -5 y= -3

Answers

Answer:

-14

Step-by-step explanation:

4x-2y                               x=-5       y=-3

4(-5) -2(-3)

-20+6

-14

If its correct i will appreciate brainliest

Answer:-14

Step-by-step explanation:

4x-2y                               x=-5       y=-3

4(-5) -2(-3)

-20+6

-14

for each ordered pair determine wheatear it is a solution to 2x

Answers

all you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:

2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15

This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.

a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?

Answers

Answer:

52.33%

Step-by-step explanation:

Since, all six sides of the box are touching the ball.

So, all the three dimensions of the box are equal.

Hence, it is a cubical box.

Side length of the box (l)

= diameter of the ball

= 2*radius of the ball

= 2*5

= 10 In.

[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]

[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]

[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]

[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]

[tex] V_{box} =l^3 [/tex]

[tex] V_{box} =(10)^3 [/tex]

[tex] V_{box} =1000\: In^3 [/tex]

Percentage of the space in the box occupied by the ball

[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]

[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]

[tex] = \frac{1570}{3000} \times 100 [/tex]

[tex] = \frac{157}{3} [/tex]

[tex] = 52.33\% [/tex]

What is the value of 21/8 divided by 3/4.

Answers

7/2 or 3 1/2 or 3.5. they are all the same answers just in different forms

F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.

Answers

Answer:

12

вот правильный ответ

use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary​

Answers

Answer:

c)

Step-by-step explanation:

çünkü öyle olmalı

round 3 2/3 to the nearest whole number ​

Answers

Answer:

3 2/3 can be converted into proper fraction like this

3*3+2←numerator

3 itself ← denominaor

So, we have 11/3

Nearest to 11/3 will be 4

You earn 3.5% commission as a car salesperson. If your sales for the month of February amount to $42,500, how much commission pay should you earn?

Answers

Answer:

$43987.50

Step-by-step explanation:

3.5% of $42,500 is

(3.5 x 42500):100 = $1487.5

So, add that number onto the price of the sales from feb.

Solve The systems of equation using any method
4×+3y=2 3x-3y=-9​

Answers

x = -1, y= 2 is the correct answer

HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!

Answers

Answer:

the last one on the bottom  

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end​

Answers

Answer:

Whole numbers, repeating decimals, and decimals that never end

Step-by-step explanation:

10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .

Answers

Answer:

Step-by-step explanation:

15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480

Population after 8 days is 480

Population after 8 days is 480.

What is exponential function?

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

here, we have,

given that,

the approximate population P of a bacteria colony is given by

P = 15t ^ (5/3)

where t is the number of days start of the experiment .

now,

the population of the colony on the 8th day is,

15×8^(5/3)

= 15×∛8^5 ]

= 15×2^5

= 15×32

= 480

hence, Population after 8 days is 480.

To learn more on exponential function click:

https://brainly.com/question/14355665

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Need answer fast please I will give brainliest to first person with answer

Answers

Answer: add 7, giving 9, result by 6, giving x=54

Step-by-step explanation:

So, working backward, first add 7 to 2, giving 9. Then multiple that result by 6, giving x = 54.

x/6 - 7 = 2

x/6 = 2+7

x/6 = 9

x = 9 • 6

x = 54

Hope it helps!

Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.

Answers

i’m pretty sure the answer is c

what is the sum of213,857?

Answers

Answer:

1079

Step-by-step explanation:

213

+857= 1070

sum means addition .

Can you help me here pls thx very much What is 52% of 25

Answers

Answer:

13

Step-by-step explanation:

52% of 25 is 13. Write 52% as 52/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 52/100 of 25 = 52/100 x 25 so the answer is 13. Now if you’re using a calculator just do 52/100x25 which would give you 13 just using a different and faster way.

A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?

Answers

Answer:

Area of the Net is incorrect

Step-by-step explanation:

Base Surface Area =  π×12^2

=  452.38934211693 inches^2

Lateral Surface Area =  π×12×√12^2 + 15^2

=  724.1762903163 inches^2

Total Surface Area = 1176.5656324332 inches^2

Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x

F(3) + G(4) - 2H(5) =

Answers

Answer:

These are functions, you must operate accordingly

Step-by-step explanation:

is the 2 in 3x2 an exponent

if it is the answer is 81

is 3/7 in lowest terms

Answers

Answer:

Yes

Step-by-step explanation:

Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.

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