A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec

A Boy Is Launching A Toy Rocket He Got For His Birthday From The Top Of An 80 Ft Building. The Function

Answers

Answer 1

Answer:

2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2):  f(h) = -16x^2 +64x + 80

Step-by-step explanation:

You can either graph the functuion or take the first derivative to find the maximum height.  The first derivative will give us the slope for a values of x.  The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.

First Derivative:

f(x) = -16x^2 +64x + 80

f'(x) = -32x + 64

Set this equal to zero and solve for x

0 = -32x + 64

x = 2 seconds.

Use 2 seconds in the original equation to find the height at 2 seconds.

f(2) = -16x^2 +64x + 80

f(2) = -16(2)^2 +64*(2) + 80

f(2) = 144 feet

Graph:

A graph is attached.  You can locate the maximum at (2,144)

A Boy Is Launching A Toy Rocket He Got For His Birthday From The Top Of An 80 Ft Building. The Function

Related Questions

The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm

Answers

The temperature at 2:00Pm would be -26 degrees

Pls answer this and explain!

Answers

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

Which is the numerical coefficient of the algebraic expression 15 + 10?​

Answers

Answer:

15+10=5(3+2)

Step-by-step explanation:

5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30

Answers

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?

Answers

The answer is c) 13 dollars and 16 nickels
Explanation:
276/20 is equal to 13.80$

Answer:

C:$13. 16 nickles left

Step-by-step explanation:

i know i took this test to on time4learning

solve pls brainliest

Answers

1. Yes. Terminating decimal. 2. Yes. Repeating decimal. 3. Yes. Repeating decimal. 4. No. Neither

A warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?

Answers

Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answers

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.

Let P be between M and N use the segment addition postulate to solve for X

Answers

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

x - 8 + 3x - 9 = 21

4x - 17 = 21

4x = 21 + 17

4x = 38

x = 38/4 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

1) What is the measure of A) 350
B) 60°
C)110°
D) 120

2) Given that A)35
B)60
C)65
D)120

Answers

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

PLEASE SOMEONE EXPLAIN THIS I HAVE NO CLUE WHAT THIS MEANS OR WHAT THE ANSWER IS

What is the domain of this function?
(-3, -7)
(-8, 8)
(10, 1)
(9, 4)
(7,-4)
(-6, -9)

Answers

Answer:

-8,-6,-3,7,9,10

on donne A(-1,2). Determiner les coordonnées du point B tel que AOB soit un triangle direct,rectangle et isocèle en O.

Answers

Answer:

donald trump

Step-by-step explanation:

The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.

Answers

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

i just did that question like 3 mins ago lol

identify the construction that the figure represents

Answers

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

Linda has 28 jackets 7 of them so it have a cap write 2 ratios that compare the number of jackets without caps to the number of jackets with caps?​

Answers

Answer: (5/12)m

Step-by-step explanation: hope this helps (~﹃~)~zZ

If the simple interest on $4,000 for 5 years is $1,400, then what is the interest rate?

Answers

Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!

PLEASE HELP FAST (ALL OF THEM PLESE)

Answers

1. En el carro, me pongo El cinturón de seguridad antes de encenderlo

2. En mi carro, tango de eluna placa de California con numeros y letras

3. Necesito llenar el tanque de gasolina de mi carro antes de manejar al trabajo

4. Uso la bocina en el volante cerca de las curvas


(I don’t speak Spanish all that well, but I am pretty positive these are correct)

Gabriel was out at a restaurant for dinner when the bill came. His dinner came to $20. After adding in a tip, before tax, he paid $23. Find the percent tip.

Answers

Answer:

Step-by-step explanation: I think it is three percent

Answer: 15%

i attached a picture below with an explanation

what type of sequence is 1,215,405,135,45...?
I need an explanation to this question. ​

Answers

Answer:

Decreasing Geometric Sequence

Step-by-step explanation:

A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed value. Here, we can multiply by 1/3 each time to get the next number, and out sequence is decreasing, so we have a DGS

Let's divide terms

[tex]\\ \sf\longmapsto r=\dfrac{405}{1215}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{135}{405}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{45}{135}=\dfrac{1}{3}[/tex]

It's a decreasing Geometric sequence

Helppppppppppp asapppppppppppp

Answers

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?

Answers

Answer:

5 years

Step-by-step explanation:

HELP ME PLEASE PLEASE ILL MARK BRAINLIEST

Answers

Answer:

its 5

Step-by-step explanation:

I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5

1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?

It is 3 times greater

It is 10 times greater

It is 47 times greater

It is 50 times greater

Answers

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.

Answers

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

the value of /14-15/ is​

Answers

1
/14-15/ is 1 as // won’t be negative as absolute value is always positive

Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​

Answers

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ5

Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

Answers

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation:

plz help??????????????????????

Answers

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one

Answers

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Other Questions
Respond to all parts of the question. In your response, use substantive examples where appropriate. Describe the ideology that supports the policy issue described in the scenario. Explain how the ideological perspective, described in part A, affects legislative process in Congress on the policy issue. Explain how a major political event, such as the recession that began in 2008, could influence how citizens would behave politically in the context of the scenario. HELP!!FAST!!Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination forthe number of seconds Lola needs to sign all 96 invitations?O 508 secondsO 510 seconds509 secondsO 508.8 seconds When we change the sign of the x-coordinate and the y-coordinate in an ordered pair, what transformation occurs? help me plz math is hard What is the job of the enamel on your teeth? how do you solve 15 divided by 2/9 DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box. shelby traveled 50 miles to her friends house every weekend until she found a shortcut now she travels 46 miles what is the percent of change there are 5 major train tracks from city x to city y and 3 major train tracks from city y to city z. how many trips can be made from city x to city z, passing through city y? Substitute x = 9 and solve for B3x + 10 = b How are the ideas of adventure and survival represented inRobinson Crouse the novel? does form and shape is same word. The radius of a circle is 16 ft. Find its area in terms of \pi Can anyone help meeecalculate the solubility product for the following solutions: a) a saturated solution of cadmium sulfide, CdS (solubility = 1.46 10 ^ -11 mol / lb) a saturated solution of calcium fluoride, CaF2, containing 0.0168g / l CaF2 The center of gravity of a loaded truck depends on how the truck is packed. If it is 4.0 m high and 2.4 m wide, and its CG is 2.2 m above the ground, how steep a slope can the truck be parked on without tipping over In a school 2/3 of the students study a language. y=1/4x + 4 input (x) = 4 find (y) output PLEASE HELP Write the equation of the line y=-11/3x+3 in standard form Apply concepts you have learned in this chapter by analyzing images outside of the text.What characteristics are associated with this painting and with Neoclassical style?AusterityFantasyOrnamentationMuted colorsPathos You start at (4,5). You move down 3 units. Where do you end?