A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth.

Answers

Answer 1

Answer:

Time taken by the ball to reach the maximum height = 5/32 seconds

Step-by-step explanation:

To find the time at which maximum height is reached , we will differentiate the given equation  with respect to t

[tex]\frac{db_{(t)}}{dt} = -32t + 5 = 0\\t = \frac{5}{32} \\[/tex]

Substituting this value of t in formula of b(t), we get

[tex]-16 * (\frac{5}{32})^2 + 5 * \frac{5}{32} + 15 \\= 15.390[/tex]


Related Questions

WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of the variable x.

Answers

Answer:

36(x + 1)^2 = 0 or 36x^2 + 72x + 36

Step-by-step explanation:

s^2 = area of a square

(6x + 6) (6x + 6)

6x*6x = 36x^2

6x*6 = 36x

6*6x = 36x

6*6 = 36

36x^2 + 36x + 36x + 36

36x^2 + 72x + 36

36(x + 1)^2 = 0

(THIS IS WORTH A LOT OF POINTS & I’LL GIVE BRAINLIEST) (only do 1 and 2)

Answers

9514 1404 393

Answer:

11.20.24

Step-by-step explanation:

The area is the same, regardless of which side is considered the "base"

  A = bh

__

1. A = 8×14 = 10h

  h = 8×14/10

  h = 11.2

__

2. A = 0.3×0.4 = 0.5h

  h = 0.3×0.4/0.5

  h = 0.24

Last year Kim earned 8$ per hour this year she earns 10$ per hour what is the percent increase from last year to this year

Answers

Answer:

25%

Step-by-step explanation:

(10-8)/8 * 100%

The area of the triangle whose vertices are A(-6, -2), B(-4, -6), B(-2, 5) will be
A. 15 square units
B. 36 square units
C. 24 square units
D. 12 square units

Answers

Answer:

A. 15 square units

Step-by-step explanation:

Because it is the "Correct Answer"

Find the y-intercept of each line defined below and compare their values

Answers

Answer:

They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units

Step-by-step explanation:

Remember your y-intercept has an x value of zero, so line B has a y intercept of (0,-2)

now let's find b in the original equation so

y - 8 = -2x - 2 so y = -2x -2 + 8, so y = -2x + 6

So line A has a y-intercept of (0,6)

They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units

I get a 15% commission on all jewelry sales that I make. If I sold 6,000 worth of jewelry, how much commission will I earn?

Answers

$900 !!!!!!!!!!!!!!!!!

for each question, decide if it is always true or never true.

Answers

Answer:

Never

Never

Always

Always

Never

Step-by-step explanation:

Substitute (x) for another number, I used (1), I if works then the answer is always and if it doesn't the answer is never. If you are unsure of your answer you can double-check by substituting another number instead.

Answer:

a. Never true

b. Never true

c. True

d. True

e. Never true

what is the value of a b and c?

Answers

Answer:

Thanks for the points G

Step-by-step explanation:

bye

Write an expression that is equivalent to 3 (2x + 6y)

Answers

Answer:

6x+18y

Step-by-step explanation:

Answer:

6x + 18y or 6 (x + 3y)

Step-by-step explanation:

Distribute the 3 or divide the parentheses by 2

What is
1/9 + 2/9? I need help

Answers

1/9+2/9

= 3/9

=1/3

Hope it helps

Answer:

1/3

Step-by-step explanation:

1+2

-----

9

3/9 simplify

1/3 final answer

hope this helps

Select the fractions that add to 13/3

A. 6/5 + 4/3
B. 6/2 + 4/3
C. 5/3 + 6/5

Answers

A. 6/5 + 4/3 = 38/15
B. 6/2 +4/3= 13/3
C. 5/3 + 6/5= 43/15
Therefore B

How do i solve 7/11 = 18/x+1

Answers

Solve for x by cross multiplying

Exact form: x= 191/7

Decimal form :x=27.28571428

Mixed number form:x=27 2/7

Find m RSU=103° what does UST=

Answers

Answer: UST = 77

Step-by-step explanation:

Angle RSU and angle UST together measure 180. (half of a circle) (or you can say they are a linear pair...either way they would sum to 180) 180-103 = 77

Pyramid a has a lateral edge of 10 and a height of 8. Pyramid B has a lateral edges of length 15 and height 12. Both A and B are regular square pyramids. What is the ratio of the volumes of the pyramids?

Answers

Answer:

Pyramid A is 10*10*8/3 which is 800/3 and Pyramid B is 15*15*12/3 which is 2700/3, so the ratio would simply be 8:27 uwu

Step-by-step explanation:

Which of the following is the complete list of roots for the polynomial function fx) =
-(x2+
6x+8)(x2+6x+13)
Fast plz

Answers

I don’t understand this?

The complete list of roots for the polynomial function in the image is -2, -4, -3 + 2i, -3 - 2i.The polynomial function is given by

[tex]f(x) = x^4 + 5x^3 - 22x^2 - 58x + 24[/tex]

We can find the roots of this polynomial by factoring it. The factors of the polynomial are:

[tex](x + 2)(x - 2)(x + 3 + 2i)(x + 3 - 2i)[/tex]

The x numbers that bring the polynomial's roots to 0 are known as its roots. We can see that the polynomial has a value of 0 for the following values of x: -2, 2, -3 + 2i, and -3 - 2i. Therefore, the polynomial's full list of roots is -2, -4, -3 + 2i, and -3 - 2i.

The steps for locating the polynomial's roots are described below:

By grouping, we can factor the polynomial.

The polynomial's factors are (x + 2), (x -2), (x + 3 + 2i), and (x + 3 - 2i).

The x numbers that bring the polynomial's roots to 0 are known as its roots.

We can see that the polynomial has a value of 0 for the following values of x: -2, 2, -3 + 2i, and -3 - 2i.

Therefore, the polynomial's full list of roots is -2, -4, -3 + 2i, and -3 - 2i.

To know more about polynomial:

https://brainly.com/question/11536910

#SPJ2

8(-x-1/2) Solve. Someone please solve. Worth 33 points.

Answers

Answer:

-8x-4

Step-by-step explanation:

I think this is the answer I hope you like it

please someone help this question is hurting my small brain. ​

Answers

22.4

If the bottom side is 20 cm, then each line BE and CE would each be 10 cm.

Now, just focus on the top left triangle. You have one side with 20 cm, and the other side with 10 cm. You are left with the hypotenuse, which you need to figure out the value of.

Since this is a right triangle, you can use the Pythagorean theorem -> a^2 + b^2 = c^2 where c is the hypotenuse.

20^2 + 10^2 = c^2
400 + 100 = c^2
500 = c^2
22.36 = c

Answer:

Step-by-step explanation:

E is the midpoint of BC

So, BE = 20/2 = 10 cm

ΔABE is a right angled triangle. So, to find AE, we can use Pythagorean theorem.

hypotenuse² = base² + altitude²

          AE²  = BE²  + AB²

                  = 10²  + 20²

                  = 100 + 400

                  = 500

           AE = √500

          AE = 22.4cm

Please I need this Answer as soon as possible

Answers

Answer:

[tex]64 - (a + b)^2[/tex]

Step-by-step explanation:

[tex]64 - a^2 - 2ab - b^2\\64 - (a^2 + 2ab + b^2)\\64 - (a + b)^2[/tex]

Answer:

Step-by-step explanation:

64 - a² - 2ab  - b² = 64 -(a² + 2ab + b²)

                            = 8² - (a  +b)²        {x² - y² = (x + y)(x -y)

                           = (8 + a +b) (8 - (a +b))

                          =(8 +a + b)(8 - a - b)

Nine egg cartons contain a total of 72 eggs. How many eggs are in one carton?

Answers

Answer:

8 eggs are in a carton

Step-by-step explanation:

72 / 9 = 8

plz mark as brainliest if correct! Have a nice day!!!

Answer:

8

Step-by-step explanation:

So you have to divide 72 by 9 and you will get 8

Please mark brainliest if you found this  helpful!

Find the values for x for which the expression 2x-3/(x+4)(x-2) is equal to 1/5​

Answers

Answer:

1 and 7

Step-by-step explanation:

(x+4)(x-2) = x²+2x-8

set up proportion:

2x-3/ x²+2x-8 = 1/5

cross-multiply:

5(2x-3) = x²+2x-8

10x-15 = x²+2x-8

Combine Like Terms:

x²-8x+7

Factor:

(x-7)(x-1)

set each factor equal to zero and solve:  x = 1, x = 7

Answer:

[tex] \frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1[/tex]

Step-by-step explanation:

x=7 or x=1

Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w

(please, don't say something random to get points, say the answer only.)

Answers

n/8, 4p, b+14, 90x, -16, 24-k, 3(w), 1+q, 13/z, 45+c, w-8

ANSWER ONLY IF KNOW!! NO LINKS OR FAKE ANSWERS!!!
BRAINLIEST AND 30 POINTS!!!!!

Answers

Answer:

9 sq units

Step-by-step explanation:

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

2/3
3/2
1
8

Answers

Answer:

B

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

A home with an area of 2,200 square feet has 660 square feet of wood flooring. What percent of the home's flooring is wood

Answers

Answer:

30%

Step-by-step explanation:

Given data

Area of Home= 2,200 square feet

Area of wood flooring=  660 square feet

The percent of wood flooring in the house can be gotten as

=660/2200*100

=0.3*100

= 30%

Hence the wooden floor occupies 30%.

8 out of 32 is same as??

Please tell me solution with all steps ​

Answers

Answer:

4

Step-by-step explanation:

32/8

= 4

Pls mark as branlist

oki i need help with this problems! it doesn't matter if you do it for me or help me (please help I need this due tomorrow and its like 9:00) thank you so much!! ill show you! like in the text box thingy​

Answers

Answer:

Here:

Step-by-step explanation:

You choose 2,4,6,8,10 as your solution points, or in other words the numbers you with substitute in for x.

The equation is:

y= 1/2x+1

So what we would do is take one number from the list above (2,4,6,8.10) and put it in for are.

So, Thats how you do it, I attached a completed version of your paper below!

whattt reallyyyyyyyyyy woww

Answers

Answer:

oof

Step-by-step explanation:

Find the exact value of cos 45º in simplest form with a rational denominator.​

Answers

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Cos is Adjacent over Hypotenuse, (see picture below)

x/xsqrt(2)

1/sqrt(2)

sqrt(2)/2

Will give brainliest

Answers

34 degrees (DAB) and 55 degrees (DAC)

Johnny uses the mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.If the mirror is 45 feet away from the building’s base, how tall is the building?

Answers

Answer:

Step-by-step explanation:

h/45=6/4

h=45(6)/4

h=67.5ft

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