A ball is thrown into the air with an upward velocity of 13 ft/s. Its height h in feet after t seconds is given by the function h = −2t^2+ 13t + 24. In how many seconds does the ball reach its maximum height?

Answers

Answer 1

Answer:

3.25 seconds

Step-by-step explanation:

The maximum height will occur when the velocity of the ball reaches zero in the air.

Velocity is given as the derivative of height, dh/dt.

The equation of height given is:

[tex]h = -2t^2+ 13t + 24[/tex]

Differentiating height, h, with respect to time, t, we have:

[tex]v = dh/dt = -4t + 13[/tex]

When v = 0:

[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]

Therefore, it will take 3.25 seconds for the ball to reach maximum height.


Related Questions

If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)

Answers

Answer:

You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!

x y 3 12 5 20 6 24 8 32 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 2 C) 3 D) 4

Answers

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

I need this done please help in the picture

Answers

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

i need help on this question

Answers

Answer:

the first one

Step-by-step explanation:

IM DOIGN A MATH TEST AND I NEED HELP RN

In Circle P, DB and AC are diameters. The measure of angle APD is 50 degrees and PB = 9 cm.

Find the length of arc DC.



Answers

Answer:

its 43

Step-by-step explanation:

i had a test with the same question, i promise its right :)

A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.

Answers

Answer:

3/8 in.

Step-by-step explanation:

If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.

The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x

Answers

Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers

Answers

Answer:

a,c,d

Step-by-step explanation:

I did the quiz

Answer:

acd edge 2023

Step-by-step explanation:

What two numbers have a sum of 191 and a difference of 63? *Hint: Create a system where one equation represents the sum and one equation represents the difference. ​(smaller number) ​ (bigger number)

Answers

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

I need someone to answer this as fast as possible

Answers

Answer:

4/8+1/8=5/8

Step-by-step explanation:

Answer:

4/8 + 1/8 = 5/8

Step-by-step explanation:

To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!

x2 +8x+16=0 in factoring algorithm

Answers

Answer:

(x+4)^2 =0

Step-by-step explanation:

x2 +8x+16=0

What 2 numbers multiply to 16 and add to 8

4*4 = 16

4+4 =8

(x+4) (x+4) =0

(x+4)^2 =0

A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?

Answers

Answer:

[tex]6,157.5ft^3[/tex]

Step-by-step explanation:

We are looking for the volume of the tank which has a cylindrical shape.

The volume of a cylinder is given by:

[tex]V=\pi r^2 h[/tex]

where r is the radius of the circular base and h is the height.

In this case we have:

diameter: [tex]d=14 ft[/tex]

and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]

also the height is: [tex]h=40ft[/tex]

we substitute these values into the equation to find the volume:

[tex]V=(3.1516)(7ft)^2(40ft)[/tex]

solving the expression:

[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]

the tank can fit [tex]6,157.5ft^3[/tex] of gas

Amount of gas filled in tank is 6,154.4 feet³

Volume of cylinders:

Given that;

Diameter of cylindrical tank = 14 feet

Length of cylindrical tank = 40 feet

Find:

Amount of gas filled in tank

Computation:

Diameter of cylindrical tank = 14 feet

Radius of cylindrical tank = 14 / 2 = 7 feet

Amount of gas filled in tank = Volume of tank

Amount of gas filled in tank = πr²h

Amount of gas filled in tank = (3.14)(7)²(40)

Amount of gas filled in tank = (3.14)(49)(40)

Amount of gas filled in tank = 6,154.4 feet³

Find out more information about 'Volume of tank'.

https://brainly.com/question/9870837?referrer=searchResults

Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?

Answers

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

Which expression is a difference of squares with a factor of 2x + 5

Answers

[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

What is the Difference of squares formula?

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

To learn more about difference of squares formula

https://brainly.com/question/1973152

#SPJ1

6th GRADE MATH:
Noah bought 2.5 kilograms of colored tile chips for a mosaic art project. What is the mass of the chips in grams?

Answers

2,500

Kilo means a thousand so you multiply the 2.5 by 1,000

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume

Answers

Answer:

It is possible, but you must first measure the width.

Step-by-step explanation:

It is possible, but you must be sure.

Answer:

they whould need diffrent width and length

Step-by-step explanation:

imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter

Alexa has 2 hours of reading to complete over the weekend. She wants to break up her reading time into 1/2 hour blocks. How many times will she read over the weekend?

Answers

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups

Answers

Answer:

Step-by-step explanation:

The answer is There are 3 gallons

i need these two questions!!!

Answers

Copy and paste it! The key is multiply!

What is the area of this composite figure?

Answers

The area is 24 u add up all the sides

Answer:

80

Step-by-step explanation:

Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*

Answers

Answer:

Step-by-step explanation:

Hard to figure out huh

a set of computers that are connected together so that they can share information

Answers

Answer:

A computer network

Step-by-step explanation:

the correct answer would be a computer network

help me fill this out thanks

Answers

Answer:

multiply

Step-by-step explanation:

Answer:

[tex]c = 4 \sqrt{3} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]

30 POINTS!!
find 10 rational numbers between -2/3 and 2/3

Answers

Answer:

Hey! Here is your answer. Hope it helps.

A sphere has a radius of 6. Using 3.14 for pi, what is the volume?

Answers

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

What is the volume of the sphere?

Answers

Answer:

V = 523.5987756 Cubic in.

Step-by-step explanation:

The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)

In this case: V = 4 * π * (41.6667)

                    V = 4 * 130.8996939

                    V = 523.5987756 cubic inches.

Hope this helps =)

Answer: C

Step-by-step explanation:

5 is the diameter so 2.5 has to be the radius.

The volume of sphere is  v=4/3* π *r^3

v= 4/3 * 3.14 * 2.5^3

v= 65.4

-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)

Answers

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

                                           

                                             

What is the slope of the line with the equation:

6x + 2y = 8

Answers

Answer:

Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

What is the value of x

Answers

Answer:

x=8 cm

Step-by-step explanation:

a + b2 = c2

6 squared  + b = 10 squared

36 + b = 100

b=100-36

b=64 squared = 8

Answer:

The answer is 8.

6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.

which one would you choose and please explain why

Answers

I’d choose the larger down payment because then you know that you’re going to get your car more quickly paid off and more efficiently
larger down payment so the monthly fees aren’t as much
Other Questions
Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time? 2 PointsWhich of the following is an advantage to using graphs and diagrams?A. They sometimes give you too much information so you mustdecide what is relevant to the problem,O B. They help to visualize the problem.C. They are always the most useful in any problem.O D. They are best used alone.SUB A student is deriving the quadratic formula. Her first two steps are shown.Step 1: c = ax2 + bxStep 2: Which best explains or justifies Step 2? Find the 100th term in the arithmetic sequence 0,5,10,15 NEED HELP ASAP |||||| 30 POINTSWhich statement is true about the theme of a text?A) Each theme is specific to only one text.B) The theme of a text is not stated directly.C) Each theme is typically found in the first sentence.D) The theme is repeated numerous times in a text. What has happened to Arab leaders like Anwar Sadat who have tried to make peace with Israel and to Israeli leaders like Yitzhak Rabin who have tried to make peace with Palestinians? What do their fates tell you about the passion and anger found on both sides of this conflict? What is the waste production for burgers? Determining which visual aid to use in a presentation starts with identifying its CAN SOMEONE PLEASE HELP ME>ASAP Who was our new enemy after WWII? Which line is parallel to y = 1/2x -5 do all objects emit electromagnetic waves? Despite discussing similar themes of war in the story "Ambush" and essay "Symptoms," OBrien and Steinbeck chose different genres and modes to present their views. Compare the format from both these texts and evaluate how the chosen mode influences the presentation of ideas. Which do you think is more effective in conveying its central meaning? Which equation could be used to solve problems involving the relationships between the angles?A)(12 + a) + (7a + 12) = 90B)90 + (12 + a) = (7a + 12)C)(12 + a) (7a + 12) = 90D)(7a + 12) 90 = (12 + a) 9Which is the basic functional unit of life?organismorgantissuecell Find the area of this shape below Fiona draws a circle with a diameter of 14 meters. What is the area of Fionas circle? Which statements describe inorganic compounds? Check all that applyInorganic compounds contain carbonInorganic compounds usually lack carbonInorganic compounds are not associated with or made from living things,Inorganic compounds include fruits and vegetables,Inorganic compounds include salt and water Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive Germination will not happen unless a seedA.is dispersed far from the plant that produced it.B.absorbs water.C.uses its stored food.D.grows stamens and a pistil.