The height in feet of a baseball can be modeled by the function y=-16t^2+64t where t is the time in
seconds after the ball is hit. Find the baseball's maximum height and the time it takes to reach this
height. Then find how long the baseball is in the air.

Answers

Answer 1

Answer:

the ball reaches a height of 64 feet after 2 sec.

The ball is in the air 4 sec.

Step-by-step explanation:

The ball is following the path of a parabola.  The maximum height is at the vertex of the parabola.

Let (h, k) be the vertex.  h will be the time it takes to reach the maximum height, and k will be that height.

y = [tex]-16t^{2} + 64t[/tex]

h = -b/2a = 64/(-2)(-16) = 64/32 = 2

k = -16(2)^2 + 64(2)

     -16(4) + 128

     - 64 + 128 = 64

V:  (2, 64)

So the ball reaches a height of 64 feet after 2 sec.

Let [tex]-16t^{2} + 64t[/tex] = 0       (0 is the height when the balls hits the ground)

-16t(t - 4) = 0

t = 0  or t = 4

The ball is in the air 4 sec.


Related Questions

What is (0.55x - 0.8) - (0.6x - 0.55)?

Answers

The answer is 2054 yes ruega

What problems did Title IX address? Check all that apply.

lack of support for international students

limited opportunities for female athletes

limited resources in scientific courses of study

lack of scholarships and championships for women in sports

limited resources and facilities for women

Answers

Answer:

limited resources and facilities for women

lack of scholarships and championships for women

limited opportunities for female athletes

2,4,5

Statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

What is Title IX?

Title IX is a potent instrument for fighting campus violence because it is a federal (national) legislation. To ensure that all students have equal access to education, the law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

As per the Title IX law:

Limited opportunities for female athletes.Lack of scholarships and championships for women in sports.Limited resources and facilities for women.

Thus, statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

Learn more about the Titel IX law here:

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The bowling alley usually charges customers $3.75 per game. Tonight they are having a special offer where customers can
pay $16.00 to get unlimited bowling.
How many games would you need to bowl for the unlimited bowling ($16) to be less expensive?
O A 2 games
B. 3 games
C. 4 games
D. 5 games

Answers

Answer:

you would have to bowl 5 times

Step-by-step explanation:

i took a test with this question

in order for the unlimited bowling to be less expensive, its cost needs to be lower than the number of games played multiplied by the charge per game
therefore if x were the number of games played
16<3.75⋅x

16/3.75< x

therefore,
4.2666< x

therefore x must be greater than 4 games or greater than or equal to 5 games (D).

Ive been struggling with this problem can someone help. Thank you

Answers

Answer:

70 degrees

Step-by-step explanation:

Angles 130 degrees and TUV are supplementary angles.  Thus, the latter is (180 - 120), or 60, degrees.  Now the sum of all three interior angles of this triangle must be 180 degrees:  (60 + 50 + >TUV) = 180, so >TUV is 70 degrees (answer C).

Im doing math and i need help in this question

Answers

Answer: It's a Cube.

(Hope this helped!)

Please answer as fast as you can!

Answers

Answer:

72 cards. Aaron is the difference between Linda ad Paul, therefore it is 72. There is a different way to solve it but it's way more complicated

how do I convert 3y - 15x +45 = 0 to both standard and slope-intercept form.​

Answers

Answer:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard is  ax + by = c so

3y - 15x +45 = 0

-15x + 3y = -45  <------- standard form

Slope intercept is y = ax + b

3y - 15x + 45 = 0

3y = 15x - 45

Divide through by 3:

y = 5x - 15.  <---- Slope.intercept.

Help me please answer thanks

Answers

Answer:

(-10,6)

Step-by-step explanation:

Domain only refers to x values so for this problem you would simply put (-10,6) since -10 is the lowest value and 6 is highest value.

What is a formula for the nth term of the given
sequence?
-11, -7, -3...

Answers

Answer:

The answer would be 4th one

'cause the difference between them is ur slope and ( the first term - the difference) is ur *y intercept* .

Step-by-step explanation:

Good luck .

Hope this helped u ;)

Grace used a container shaped like a cylinder for her dog's food. It's radius is 4 inches and it's height is 5 inches. find the volume of the container in cubic inches. PLEASE HELP , DON'T PUT SPAM LINKS!

Answers

Answer:

251.33 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder = πr²h

r = Radius = 4 inches

h = Height = 5 inches

Volume of a Cylinder = π × 4² × 5

= 251.32741 cubic inches

Approximately , the Volume of the cylinder = 251.33 cubic inches.

Yes or no??!??????????

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Explanation:

2^2 + 2^2 = 8

3^2 = 9

8 is not = 9

Hope this helps!

I need help on this one

Answers

As a fraction, it is 64/729

As a decimal it is- 0.09

Hope this helps :T

enter the value of (-1 1/4) - (-2/3) + (-3.5)

Answers

Answer:

−67/12

Step-by-step explanation:

Answer:

Exact form- 49/12

Decimal Form- -4.083

Mix Number Form- -4 1/12

Step-by-step explanation:

Simplify this expression below as much as possible.
(7+4i)+(9+5i)-(2+5i)

Answers

Answer:

7+4i+9+5i-2-5i

7+4i+9-2

4i+7+9-2

4i+14

Answer: 14 + 4i

Step-by-step explanation:

(7 + 4i) + (9 + 5i) - (2 + 5i)

Group the real part and the imaginary part of the complex number

(a + bi) ± (c + di) = (a ± c) + (b ± d)i

(7 + 9 - 2) + (4 + 5 - 5)i

7+9-2=14 and 4+5-5=4

Therefore, (7+4i)+(9+5i)-(2+5i) is equal to 14 + 4i

please pls pls help me giving brain list

Answers

It is simile
IT means it is comparing the Greek Gods with spoiled children

The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys profit equal to zero?

Answers

Answer:

Step-by-step explanation:

-x² + 70x - 600

If we multiply all by -1, we have

x² - 70x + 600

If we factorise this, we have

x² - 10x - 60x + 600

x(x - 10) - 60(x - 10)

(x - 10) (x - 60)

x = 10

x = 60

If the company sells 10, or 60 items, their profit is 0

which of the following is equivalent to the expression above

Answers

c) 2x^2y + 2xy^2

Explanation:

(x^2 y-3y^2+5xy^2)- (-x^2y+3xy^2-3y^2)

(x^2 y+5xy^2 -3y^2)- (-x^2y+3xy^2-3y^2)

x^2 y +5xy^2 -3y^2 + x^2y -3xy^2 + 3y^2

2x^2y + 2xy^2

The option C) 2x²y + 2xy² is equivalent to the given expression (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²).

Mathematically, an expression is an admixture of numbers, variables, operations, and functions that are conjoined according to peculiar rules to depict a mathematical calculation or association. It can be supposed to as a mathematical idiom or formula.

By combining numbers, variables, operators, and functions, mathematical expressions can define a broad lea of calculations and associations.

The given expression is (x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²).

(x²y - 3y² + 5xy²) - (-x²y + 3xy² - 3y²)

= x²y - 3y² + 5xy² + x²y - 3xy² + 3y²

= 2x²y + 2xy².

Hence, option C) is correct in that 2x²y + 2xy² is equivalent to the given expression.

Learn more about Expression here:

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Simplify.

12x • 3x this is for my math class the dot means to multiply

Answers

Answer:

36x^2 or 36 times x squared.

Step-by-step explanation:

If x was two it would equal 144. If you replace x with two in my simplification it also equals 144.

Answer:  36x²

Step-by-step explanation:

Here we will do more than give you the solution to 12x × 3x. We will also explain and teach you how we came up with the answer, so you can understand it and solve similar problems in the future without help.

In this problem, 12 and 3 are the coefficients and two Xs are the variables. When a coefficient is next to a variable there is an invisible multiplication sign. So you could rewrite the problem as follows:

12 × x × 3 × x =

So now you can multiply what are the same. You can multiply the coefficients together and the x variables together as follows:

12 × 3 = 36

x × x = x²

Then you put the answers together and make the multiplication sign invisible again to get the following answer:

12x × 3x = 36x²

the total value of the eggs is about blank cubic centimeters.​

Answers

Answer:

16249.27392 cm³

Step-by-step explanation:

V = [tex]\frac{4}{3}[/tex] × π × r³

[tex]\frac{4}{3}[/tex] × 3.14 × 3.3³

Volume of 1 egg is 150.45624 cm³.

150.45624 cm³ × 108

16249.27392 cm³

Let x and y be the numbers represented on the number line.
1. Ifp is the product of x and y, what point can represent p on the number line?
2. Use the information from (1) to find the point representing qon the number line if q is the
quotient of x and y. Explain your reasoning.

Answers

8373728 that’s not the answer

In AHIJ, i = 99 inches, j = 99 inches and ZH=9°. Find the length of h, to the nearest
inch.

Answers

Answer:16

Step-by-step explanation:

Delta math

Answer:16

Step-by-step explanation:delta math

Reflect in the x-axis

Answers

Answer:

d

Step-by-step explanation:

Can somebody help me with this

Answers

Answer:

D = -1, -1, 2, 5

R = 0, 2, 3, 7

✅It is NOT A FUNCTION

Step-by-step explanation:

D (Domain) = input values (x-values)

D = -1, -1, 2, 5

R (Range) = output values

R = 0, 2, 3, 7

✅It is not a function because an x-value, -1, has two different y-values, 7 and 2, assigned to it.

The Star Wars franchise was purchased for $1,000,000,000 in 2015. If the value of the franchise increases 2% each year, which equation models the value of the house, C, in the year 2050'?

Answers

Answer: second C

Step-by-step explanation:

Follow the directions to convert the analog sound wave into a digital signal. The lines on the grid intersect at various points (x, y). For each whole-number value of x, find the intersection point that is closest to the wave. Draw a small circle on that point, and record its y-value. The circles for the x-values 0 through 3 are already done for you. Draw circles for the x-values 4 through 18. In a textbox, write down all 19 y-values obtained by sampling the wave.

Answers

I like to be ____ like a ____ 3+ 600 = 306:)

Answer:

Step-by-step explanation:

brianna predicted that 16 puppies would be sold at the pet store on saturday however only 9 were sold what was briannas percent error

Answers

Answer:

it wold be 16-9= 8

Step-by-step explanation:

rewrite without parentheses and simplify (y+4)2

Answers

Answer:

the answer is = 2y + 8

Step-by-step explanation:

(y + 4)2

2y + 4 × 2

2y +8

6A./25% घाटामा बेचिएको कुनै सामानलाई रु. 21,000 बढीमा बेच्न सकिएको भए 10% नाफा
हुने थियो । उक्त सामानको क्रय
मूल्य कति होला ? पत्ता लगाउनुहोस् ।
An item was sold at a loss of 25%. Had it been sold for Rs 21,000 more then the profit would have been
10%. What is the cost price of the item?
[SLC 2068 B]
6B​

Answers

Answer:

60,000

Step-by-step explanation:

Let us represent:

Costs price = x

Selling price = x - 25%x

x - 0.25x

= 0.75x

If it been sold for Rs 21,000 more then the profit would have been

10%. = x + 10% = 1.1x

1.1x =0.75x + 21000

Collect like terms

1.1x - 0.75x = 21000

0.35x =21000

x = 21000/ 0.35

x = 60000

The cost price of the item = 60,000

if the ordered pairs graphed are all equivalent ratios

Answers

Answer:

huh?

Step-by-step explanation:

whats the question

If X = 9 units, Y = 5 units, Z = 21 units, and h = 9 units, what is the surface area of the triangular prism shown above?

Answers

Answer:

Surface area of triangular prism = 528

Step-by-step explanation:

Surface area of triangular prism = (Base x Height) + 2 (length x side) + (length x base)

SA = bh + 2Ls + Lb

Putting given values : b = Y = 5 , h = 9 , s = x = 9 , L = z = 21

(5 x 9) + (2 x 21 x 9) + (21 x 5)

= 45 + 378 + 105

528

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