A boy throws a ball into the air. The equation h=−16t^2+23t+4 models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown. How long is the ball in the air?

Answers

Answer 1

Answer:

0.72secs

Step-by-step explanation:

Given the height of the ball in air modeled by the equation:

h=−16t²+23t+4

Required

Total time it spent in the air

To get this we need to calculate its time at the maximum height

At the maximum height,

v = dh/dt = 0

-32t + 23 = 0

-32t = -23

t = 23/32

t = 0.72secs

Hence the total time it spend in the air will be 0.72secs

Answer 2

The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.

Given :

A boy throws a ball into the air. The equation [tex]\rm h = -16t^2+23t+4[/tex] models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.

Differentiate the given function of height with respect to 't' in order to determine the value of 't'.

[tex]\rm h = -16t^2+23t+4[/tex]

[tex]\rm \dfrac{dh}{dt}=-32t+23[/tex]

Now, equate the above differential equation to zero.

-32t + 23 = 0

23 = 32t

t = 0.72 seconds

So, the total time for which the ball is in the air is 0.72 seconds.

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Related Questions

anyone know the answer to this? :))))

Answers

Hello!

[tex]\large\boxed{x = 17}[/tex]

[tex]\sqrt{x -1} + 5 = 9[/tex]

Begin by subtracting 5 from both sides:

[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]

Square both sides to get rid of the radical:

[tex]x - 1 = 16[/tex]

Add 1 to both sides to completely isolate for x:

[tex]x = 17[/tex]

You live in a big apartment. The bedroom is 15 by 20 feet. Calculate the area of your bedroom.
a.
100 sq. ft
c.
180 sq. ft
b.
300 sq. ft
d.
70 sq. ft

Answers

Answer:

The answer is B 300 sq. ft.

Step-by-step explanation:

If you multiply 15 by 2 you were to get 30 but since it is 15 multiplied by 20 instead its like adding a 0 at the end of the number so we change 30 to 300.

Hope this helps :)

I think the answer is B

What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?

Answers

Answer:

78.54in²

Step-by-step explanation:

i used the formula

please help asap!!!!!

Answers

Answer:

angle RQS

Step-by-step explanation:

the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?

Answers

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: 3 hours

Explanation: There are 24 hours in a day, and the robots use 2 bags of coffee a day, so you gotta do 24/2 and that means 1 bag of coffee lasts 12 hours. Next, the question is how long does 1/4 bag last, so you do 12/4 and get 3, therefore the correct answer is 3 hours. Hope this helped!

Please help me solve this !:)
Explain your answer

I will give braisnlt .

Answers

Answer:

A a rotation 180 degrees about the origin seems right

Answer:

B

Step-by-step explanation: Too easy to explain

Find the missing angle.
65°
60°
X=

Answers

Answer:

125

Step-by-step explanation:

sum of 60 and 65 will give you x

Answer:

125

Step-by-step explanation:

65+60=125

Find the present value of the given future payment at the specified interest rate.
6000​$ due in 2 years at
6.5​% compounded daily

Answers

Answer:

6.5% of 6000$=6000$x6.5/100=390$

amount of interest = 390$x2=780$

Compound Interest

n=1, 2

Po=6000$

Pn=Po(1+r)^n

Pn=6000$1+6.5%)^n

Pn=6000$(1.065)^n

P1=6000$(1.065)^1=6390$

P2=6000$(1.065)^2=6805.35

Cady has $3000 to deposit in the bank which offers 4% interest. How long does she need to leave the money in the bank in order to earn $600 in interest?

Answers

Answer:

Cady will have to leave the money in the bank for 5 years.

Step-by-step explanation:

Given that Cady has invested $ 3000 in an account with an interest rate of 4%, to know how much time must be invested to obtain $ 600 in interest, the following calculation must be performed:

3000 x 1.04 = 3.120

Thus, each year the investment will yield interest for $ 120. Therefore, since 600/120 is equal to 5, Cady will have to leave the money in the bank for 5 years.

PLZZZZZ HELPpppppppp

Answers

Answer:

I will help if u come here

Answer:

the table does not match jada problem because for. each sparkling water and Apple juice she should have gotten 2x the amount

1.
(04.01 LC) WILL GIVE BRAINLIEST

Which of the sets of ordered pairs represents a function? (5 points)

A = {(1, −5), (8, −5), (8, 7), (2, 9)}
B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Only A
Only B
Both A and B
Neither A nor B

Answers

Neither A nor B because there is repetition of X values

Answer:

Neither

Step-by-step explanation:

I just took the quiz.

HELP ASAP PLEASE :))))))


For what value of p is the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54?
A. -49
B. -7
C. 7
D. 49

Answers

Answer:

p=−12x2+8x+−492

is what I got

The value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

It is given that the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54

That is (x - p)^2 + 5 = x^2 – 14x + 54

Solving for p;

x^2 + p^2 + 5 - 2px =  x^2 – 14x + 54

Combine the like terms;

p^2 + 5 - 2px =– 14x + 54

p^2 - 2px + 14x - 49 = 0

If we put p = 7 then

49 - 14x + 14x - 49 = 0

Therefore, the value of p must be 7 for the expression (x - p)2 + 5 equivalent to the expression x2 – 14x + 54.

Learn more about expression here;

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F(x)=x-7
What is the value of x when f(×) =3

Answers

Answer:

3= x - 7 (write out the equation and think of what number with 7 subtracted would be equal to 3)

3= 10-7 (10-7 is equal to three, so that's what x has to be)

x=10

Step-by-step explanation:

“Which of the following is most likely caused by chemical weathering” A.cirques carved out by a melting glacier
B. U-shaped valleys formed in a mountain region
C. Rocks and sediment transported and deposited
D.unrecognizable facial features on a marble statue

Answers

Answer:

D. Unrecognizable facial features on a marble statue

Step-by-step explanation:

The first 3 answer choices are all examples of physical weathering, not chemical weathering.

This is because the changes were caused by natural things such as flowing water and heating.

However, unrecognizable facial features on a marble statue would be caused by chemical weathering, where chemicals can erode marble and cause distortion in a statue.

So, D is the correct answer.

A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?

Answers

Answer:

40 seconds

Step-by-step explanation:

120/12 = 10

10*4 = 40

THEREFORE 40 seconds to walk 120 feet at that speed

The weights of several adult guinea pigs in a pet store are: 33, 39, 42, 33 39, 31, 32 and 37 ounces. Find the mean absolute deviation. Describe what the mean absolute deviation tells you about the data.

Answers

Answer:

35.75 I added them all up and divided by the amount of numbers there is

Write a multiplication sentence to find of the rectangle by moving numbers to the line

Answers

Answer:

caca

Step-by-step explanation:

There are four types of flowers in Mrs. Elliott’s garden, 1/2 of the flowers are red, 1/4 of them are purple. Of the remaining flowers, ⅔ are pink, there are 4 yellow flowers. How many flowers are there in Mrs. Elliott's garden?

Answers

Answer:

48 flowers.

Step-by-step explanation:

You know that there are red, purple, pink, and yellow flowers in the garden. Since you know that 1/2 are red and 1/4 are purple, the pink and yellow flowers (combined) must make up the remaining 1/4 of the garden.

You're told in the problem that of this remaining 1/4, 2/3 are pink. That must mean 1/3 are yellow. There are twice as many pink flowers as yellow flowers.

The problem also says there are 4 yellow flowers. This means that 1/3 (of the remaining 1/4) is equal to 4.

To figure out how many pink flowers there are, you can multiple 4 x 2. There must be 8 pink flowers.

To find the total number of pink and yellow flowers, add 8 + 4. There are 12 pink and yellow flowers.

Remember that the pink and yellow flowers must make up the remaining 1/4 of the garden. If 12 flowers is equal to 1/4 of the garden, then you can multiply by 12 x 4 to figure how many flowers are in the entire garden: 48 flowers.

1. (1.-2).(-2, 0).(-1,2). (1.3)

Function:

Domain:

Range:

Answers

domain: (1,-2,-1)
Rage: (-2,0,2,3

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

C. 350 - acres of pumpkins

Step-by-step explanation:

The Uncle owns 510 acres, and wants 190 more acres of pumpkin than squash totaling at 510.

When looking at the possible answers D is automatically wrong since the Uncle only owns 510 acres. When I added A and C I got 510 as an answer;

160 + 350 = 510

So he wants 190 more pumpkin acres than squash so 160 represents the squash and 350 represents the pumpkin.

160 + 190 = 350

--------------------------------------------------------------------------

Another way to find the answer is by taking 510 and subtracting 190 then dividing by two;

510 - 190 = 320

320 / 2 = 160

160 + 190 = 350

Then 160 would be squash and 350 would be pumpkin.

I hope this helps!

Can somebody help me with this one thank you.

Answers

It would be 11 liters

Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? Plz help :)

Answers

Answer:

maybe like 7.5 miles

Step-by-step explanation:

if she rode 5 miles in 20 minutes than she rides for 30 more minutes than in 20 minutes of the 30 she rode 5 miles and my prediction is she will ride about 2.5 miles in 10 minutes

In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?

Answers

Answer:

35

Step-by-step explanation:

The number of students in Mr.Romano’s class is 35.

Given that, in Mr. Romano‘s class, 40% of the students like baseball.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students in Mr.Romano’s class be x.

Here, 40% of x = 14

⇒ 40/100 × x = 14

⇒ 0.4x = 14

⇒ x = 14/0.4

⇒ x = 35

Therefore, the number of students in Mr.Romano’s class is 35.

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What's 384400 rounded

Answers

Answer:

380000

Step-by-step explanation:

rounded to the nearest ten thousand

384400 rounded to the nearest ten thousand is 380000.

What is the rounding off numbers?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

The given number is 384400.

The number rounded to nearest ten thousand as

380000

Therefore, 384400 rounded to the nearest ten thousand is 380000.

To learn more about the rounding off numbers visit:

brainly.com/question/13391706.

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"Your question is incomplete, probably the complete question/missing part is:"

384400 rounded to the nearest ten thousand

giving branliest, 7th grade math

Answers

Answer:

1/3

Step-by-step explanation:

Total number of outcomes = 3

Possible outcomes = 1

probability = possible outcomes/ total number of outcomes = 1/3

HOPE THIS HELPS YOU

Answer:

1/3

............................

HL
ASA
SSS
AAS
SAD
Not congruent

Answers

Answer: 4

Step-by-step explanation:

i think

write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

You have a square that has a side length of $1$ centimeter. Each minute, $2$ centimeters are added to the side length. After $10$ minutes, what will be the difference between the area of the last square and the area of the initial square in square centimeters (do not include the units in your answer)?

Answers

Answer:

Difference in area of the last square and the initial square = 440 cm²

Step-by-step explanation:

Length of the side of a square = 1 cm

Area of the square = (side)² = 1 cm²

Addition of side length every minute = 2 cm

After x minutes length of each side of the square = (1 + 2x) cm

If x = 10 minutes

Length of each side of the square = [1 + 2(10)]

                                                         = 21 cm

Area of the square after 10 minutes = (21)²

                                                            = 441 cm²

Therefore, difference in area of the last square and area of the initial square

= 441 - 1

= 440 cm²

Look at this please i dont need help im just trying to tell everybody something

Answers

Answer:

ok

Step-by-step explanation:

Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. How old is sage? please show an explanation.​

Answers

Answer:

Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.

Answer:

Sage is 17 years young.

Step-by-step explanation:

A score is referring to 20 of something.

It says Sage is 3 years younger than a score.

20-3=17

I hope this is what the question means, otherwise, I'm clueless.

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