A ball is thrown vertically upward. After t seconds, its height h, in feet, is given by the function LaTeX: h\left(t\right)=-16t^2+64th ( t ) = − 16 t 2 + 64 t. How many seconds will it take the ball to reach its maximum height?

Answers

Answer 1

Answer:

The time it will take for the ball to reach maximum height of 64 feet is 2 seconds

Step-by-step explanation:

The given equation for the height, h, in feet the ball reaches is given by the function;

h(t) = -16·t² + 64·t

To reach maximum height, [tex]h_{max}[/tex], we have;

At [tex]h_{max}[/tex], we have;

[tex]\dfrac{\mathrm{d} h}{\mathrm{d} t} = 0[/tex]

[tex]\dfrac{\mathrm{d} \left (-16\cdot t^{2} + 64\cdot t \right )}{\mathrm{d} t} = 0[/tex]

Which gives;

64 -32·t = 0

64 = 32·t

t = 64/32 = 2 seconds

Therefore, it will take 2 seconds for the ball to reach maximum height

The maximum height reached is given as follows;

h(2) = -16×2² + 64×2 = 64 feet

The time it will take for the ball to reach maximum height of 64 feet is 2 seconds.


Related Questions

Solve the equation
(If possible please show work)

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2(-x-4)+3=-7-4x[/tex]

First, distribute the left side:

[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]

Add values on the left side:

[tex]2x+11=-7-4x[/tex]

Add 7 to both sides. The right side cancels:

[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]

Divide both sides by -6:

[tex](-6x)/-6=18/-6\\x=-3[/tex]

Therefore, x equals -3.

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]

[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]

[tex]2x + 8 + 3 = - 7 - 4x[/tex]

[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]

MARNIE OUT!

:)

Find the measure of a
A. 40
B. 25
C. 50
D. 12.5

Answers

Answer:

c because it will be half of it meaning you have to multiply rhem

The angle at the center subtend by the chord of the circle will be 50°. Then the correct option is C.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle that the very same arc subtends at any point around the circle's periphery is the double of the angle that same arc subtends at the center.

The angle at the periphery is 25°.

Then the angle at the center of the circle will be double of the angle subtend at the periphery.

Central angle = 2 × 25°

Central angle = 50°

The angle at the center subtend by the chord of the circle will be 50°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

how do you calculate the area of this square which has two semicircles in it?

please help​

Answers

The area of the square is 100 square units because 10×10=100

The radius of a circle is half the length of the square. The radius is 5.

The 2 semi-circles added together actually equals a circle.

The area of a circle is π[tex]r^{2}[/tex].

5=r.

So [tex]5^{2}[/tex] equals 25.

The circle is 25π

So just subtract.

The area of the square with two semi-circles in it is (100 - 25π)

♡ Hope this helps! ♡

❀ 0ranges ❀

HELP ME PLEASE PLEASE HELP ASAP PLEASE

Answers

Answer:

X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]  

Step-by-step explanation:

Find the number of positive divisors of 1470.

Answers

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

Answer: plz mark as brainliest

Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:

1470 / Divisor = Quotient

To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:

1470 / 1 = 1470

1470 / 2 = 735

1470 / 3 = 490

1470 / 4 = 367.5

etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.

The Divisors of 1470 are as follows:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.

how to find three-quarters of x

Answers

Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people attended one day how many would be children

Answers

999

why becuase thats the answer mine had

1. Solve for x, 5 (2x + 3) + 3 (x - 4) = 25 And one more question 2. The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

Answers

Answer:

Step-by-step explanation:

1) 5(2x + 3) + 3(x -4) = 25

Use distributive property

5*2x + 5 *3 + 3*x - 3*4 = 25

10x + 15 + 3x - 12 = 25

Add like terms

10x + 3x +15 - 12 = 25

13x + 3 = 25

Subtract 3 form both sides

13x = 25 - 3

13x = 22

x = 22/13

x = [tex]1\frac{9}{13}[/tex]

2) Breadth = b m

Length = 5b - 4

Perimeter of rectangle = 40 m

2*(length + breadth) = 40    { Plug in the values of breadth & length}

2* (5b - 4 + b) = 40

2 * ( 6b - 4 ) = 40  

2*6b - 2 *4 = 40

12b - 8 = 40  { add 8 to both sides}

12b - 8 + 8 = 40 + 8

   12b = 48  { divide both sides by 12}

  12b/12 = 48/12

b = 4 m

Breadth = 4m

Length = 5*4 - 4 = 20 - 4 = 16 m        

Answer:

16cm

Step-by-step explanation:

5(2x+3) + 3 (x-4)= 25

10x+15+3x-12=25

(combine the like terms)

13x+3=25

13x= 22

x= 1 and 9/13

perimeter= 40m

length=5a-4

breadth=a

5a-4+a+5a-4+a= 40

12a-4-4 = 40

12a-8=40

12a= 48 a= 4cm

the breadth is 4cm, the length is 5×a-4= 20-4 =16cm

your welcome!


Which step can you use to solve the equation 6z=48

Answers

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days? Estimate the answer by rounding off the number of toys to the nearest thousand.

Answers

Answer: $7,018,000

This value is a little over 7 million dollars

======================================================

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

1. Observa la imagen. Luego, responde las preguntas
.
a. ¿Qué molécula representa?​

Answers

Can you put the image ?

A garment store sells a particular brand of a shirt at ₹x and a particular brand of a trouser at ₹y. John buys 5 shirts and 3 trousers from the store at ₹9000. Frame an equation to model the above situation.

Answers

Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important

So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time

Step-by-step explanation:

A dog is tied to a fire hydrant with a 3 foot leash. Describe the shape of the area the dog can travel.

Answers

Step-by-step explanation:

The shape will be circle, and its area will be πr²

Given g(x)=9x^2-5 and k(x) =3x-1, find g(x) + k(x)

A. 2x^2 +3x - 6
B. x^4 + 3x^3 - 6x^2 - 15x + 15
C. 3x - 6
D. 5x^2 - 6

Answers

I hope this helps you

Question wants sum of two functions

g(x) +k(x)

9x^2-5+3x-1

9x^2+3x-6

3(3x^2+x-2)

3(3x-2)(x+1)

PLEASEEEEEE Which system of equations does not have a real solution? y = x 2 + 3 x - 5 and 4 x + 5y = 20 y = x 2 + 3 x - 5 and x + y = -10 y = x 2+ 3 x- 5 and x + y = -9

Answers

Answer:

[tex]\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}[/tex]

Step-by-step explanation:

y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.

When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.

Answer:

Step-by-step explanation:

If he pays $16.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine

Answers

Answer:

About $1.40 per each monthly magazine.

Step-by-step explanation:

16.80 / 12 = 1.4

5 3/4 divided by 1 and 1/2 ​

Answers

Answer:

0.25

Step-by-step explanation:

(3/4/1)-1/2

0.75-0.5=0.25

Answer:

5 3/4 divided by 1 1/2 is 3 5/6

Step-by-step explanation:

Does this equation have one, many, or no solutions? [tex]2+4(3-4x)=5x+9[/tex] If one, what is the value of 'x'? Show work please.

Answers

Answer: This equation has one solution.

Steps:

2+4(3-4x) = 5x +9

First, we need to distribute to the terms inside the parentheses.

4 * 3 = 12   and   4 * -4= -16x

Our equation now looks like this:

2 + 12 - 16x = 5x + 9

We can now combine like terms. We have 2 like terms that we can combine:

2 + 12 + = 14

Our equation now looks like this:

-16x + 14 = 5x + 9

We can now use inverse operations to get rid of 5x. The inverse operation for addition is subtraction; so we subtract 5x on both sides. Remember, our goal is to isolate the x.

-16x + 14 = 5x + 9

-5x          -5x

The fives cancel out. Our equation now looks like this:

-21x + 14 = 9

We can now use inverse operations to get rid of the 14:

-21x + 14 = 9

       - 14  -14

The fourteens cancel out. Our equation now looks like this:

-21x = -5

Last step! Now we use inverse operations to isolate the x. -21 is being multiplied by x; the inverse operation for multiplication is division.

-21x/-21 =    and    -5/-21 = 5/21

x is equal to 5/21.

Hope this helps!

Answer:

-5x + -5 + 5x-.1

Step-by-step explanation:

lf x+1/x=12 then find the value of x3+1/x3​

Answers

Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332

Mrs. Haddox is mailing a package that weighs 18.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? 1 pound (lbs) = 16 ounces (oz) I GIVE BRAINLIEST PLZ

Answers

Answer:

296 ounces

Step-by-step explanation:

I used the formula "Multiply the mass value by 16"

Hope this helps:)

Answer:

296 is the total ounces it weighs

Step-by-step explanation:

For g(x)= (x+7)^2 + 6x determine the input of x when the output of g(x) =13

Answers

Answer:

x = -2 or -18.

Step-by-step explanation:

(x+7)^2 + 6x = 13

x^2 + 14x + 49 + 6x - 13 = 0

x^2 + 20x + 36 = 0

(x + 2)(x + 18) = 0

x = -2, -18.

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.

Answers

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

Viola makes gift baskets for Valentine's Day. She plans to make 12 baskets each day. If there are 7 working days until the day she begins to sell the baskets, how many baskets will she have to sell?

Answers

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12

At 12:00 P.M., the water pressure on a submarine is 435 pounds per square inch. Ffom
12:00 P.M. to 12:30 P.M., the water pressure increases 58 pounds per square inch.
From 12:30 P.M. to 1:00 P.M., the water pressure decreases 116 pounds per square
inch. What is the water pressure at 1:00 P.M.?
0 261 pounds per square inch
493 pounds per square inch
O -58 pounds per square inch
O 609 pounds per square inch
O

Answers

Answer:

[tex]\Large \boxed{ \mathrm{377 \ pounds \ per \ square \ inch} }[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds per square inch.

From 12:00 PM to 1:00 PM, the initial pressure increases by 58 pounds per square inch and then decreases 116 pounds per square inch.

⇒   435 + 58 - 116

⇒   377

Answer:

[tex]\huge\boxed{377 \ pounds / in.^2}[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds / in.²

After that it increases by 58 pounds / in.²

So, it became

=> 435 + 58

=> 493 pounds / in.²

Then, it decreases by 116 pounds/square inch

=> 493 - 116

=> 377 pound / in.²

This is the final pressure.

What is the approximate value of tan C?

Please help! Urgent!

Answers

Hey there! I'm happy to help!

Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.

If we look across from angle C, we see that the opposite side is 5.

The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.

So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.

Have a wonderful day! :D

Answer:

0.38

Step-by-step explanation:

took a p e x test

factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)

Answers

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..


Round the number 817.0863 to the nearest:
(a) hundreds
(b) hundredths
(C) 3.d.p
(d) 4 s.f
(e) Whole number​

Answers

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

Which expression is equivalent to 3(3x + 8) ? A B С C D 9x = 21​

Answers

Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

What is the algebraic expression for the following word phrase: the sum of 7w and 5?
A. StartFraction 7 w over 5 EndFraction
B. 12w
C. 7 w minus 5
D. 7w + 5

Answers

Answer:

7w+5

Step-by-step explanation:

7w, and then the sum indicates an addition sign, so it becomes 7w+5

Answer:

7w+5

Step-by-step explanation:

sum means add

7w+5

Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4

Answers

Answer: The third option is true, -8<-4

Step-by-step explanation:

Negative four is greater than negative eight because it is closer to zero on the number line

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