A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+263x+92

Answers

Answer 1

Answer:

8.39 seconds

Step-by-step explanation:

Given the equation which models the height of a rocket:

y=-16x^2+263x+92

Time taken to reach maximum height ; = total total time of flight / 2

Total time of flight is obtained at h = 0

Hence +,

y=-16x^2+263x+92 ; y = 0

-16x^2+263x+92 = 0

Using the Quadratic equation solver :

X = 16.78 or x = -0.3466

Time can't be negative

Hence, total time of flight= 16.78

Therefore, time taken to reach maximum height :

Total time of flight / 2

= 16.78 / 2

= 8.39 seconds


Related Questions

So ummm what was the answer ‍♀️

Answers

There’s no context but I’m guessing your talking about the gender sign. That is a female.

Ruben bought 6 comic books for 21$. Each comic book is the same price. How much is one comic book?

Answers

Answer:

$3.50

Step-by-step explanation:

2x+ 1 = 19
This is supposed to be two step equations.

Answers

Answer:

x=0.1

Step-by-step explanation:

2x+1+=19

19-1=18

2x=18

2/18=0.1

x=0.1

Answer:

x= 9

Step-by-step explanation:

First I would subtract the 1 from 19 which leaves me with 18 then divide both sides by 2 so 2x/2 = 18/2 which gives me 9 now to check. 2 multiplied by 9 =18 plus 1 =1 9. and thats how I get the answ.r

Can you please help me with this?​

Answers

Answer:

[tex]m=\frac{6}{5}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

(2, -5)

(7, 1)

[tex]m=\frac{1-(-5)}{7-2}[/tex]

[tex]m=\frac{1+5}{5}[/tex]

[tex]m=\frac{6}{5}[/tex]

Factor x^2+x-12 = 0 and x^2-6x+9 = 0.

Answers

Answer: x^2+x-12 = 0 ⇒ x = -4 or x = 3 and x^2-6x+9 = 0 ⇒ x= 3

x^2+x-12 = 0 (Find two numbers that add to 1 and multiply to -12)

x^2-3x+4x-12 = 0 (Factor out like terms)

x(x-3)+4(x-3) = 0 (Group common terms)

(x-3)(x+4) = 0 (Set each term to equal 0 and solve for x)

∴ x = -4 or x = 3

x^2-6x+9 = 0 (It's a perfect square trinomial)

(x-3)^2 = 0

∴ x = 3

Answer: x = -4 and x = 3 for the first one. x- 3 for the second one.

Step-by-step explanation:

big brain time

In the next several games, Pedro Smalley, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Show your work

Answers

Answer:

5/8

Step-by-step explanation:

Total pitches thrown = 384

Number of fastballs = 240

To obtain the decimal that should be used to update report ;

Take the ratio of fastballs to the total number of pitches :

Fastballs / total number of pitches

240 / 384

= 30 / 48

= 10 / 16

= 5 / 8 (lowest term)

How do I divide decimals by whole number.

Answers

Answer: You move the decimal to the right for the dividend and divisor.

Step-by-step explanation:

Solve the equation.

54k = 0

A 27
B 1
C 54
D 0

Answers

Answer:

D

Step-by-step explanation:

ANY THING X 0 IS 0

Answer:

0

Step-by-step explanation:

zero divide any number is zero

Solve the inequality and graph the solution on the line provided.
14 + 8x > 30
I bad at math so can someone help me hehe

Answers

Answer:

The inequality notation is x >= 2 (put the line underneath >)

Number line should have a filled in dot on the 2, with an arrow pointing to the right infinitely.

Explanation:

14 + 8x >= 30

8x >= 16

x >= 2

>= is just this symbol (>) with a line underneath it.

Hope this helps!

ANSWER THIS AND YOU GET BRAINLIEST!

Which number is irrational?
7/6
√289
3.3333
√2

Answers

Answer:

The correct answer is the square root of 2.

Step-by-step explanation:

Irrational numbers can not be put into fractions, so it is not the first one. 3.3333 is also 3 1/3 and the square root of 289 is rational.

PLEASE HELP I will give 100 Branly points to anyone hoo can help Which of the following is the equation of a direct variation that has a constant of variation equal to -1/2


A) y = - 1/2 x

B) y = x - 1/2

C) - 1/2 y =x

D) y = -2 x

Answers

Answer:

A

Step-by-step explanation:

Answer:d

Step-by-step explanation:

I don’t get this please help me if your smart u get 10 points

Answers

Answer:

112

Step-by-step explanation:

Supplementary angles means that angle A and angle B added together equal 180˚. This mean we can re-write the angle measures into an algebra problem

A(3x+16) + B(2x + 4 ) = 180

Or

5x + 20 = 180

5x + 20 - 20 = 180 - 20

5x = 160

5x/5 = 160/5

x = 32

Now that we know that X = 32, we can plug 32 into the measure of angle A.

A(3x+16)

A(3(32)+16)

A(96+16)

A(112)

Angle A equals 112˚ and Angle B equals 68˚.

9 - 3 divide 1/3 + 1 =

Answers

Answer:

8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

9 - 3 divide 1/3 + 1

-3 divide by 1/3

9 - 9 + 1

0 + 1

1

It is 1, because you should use the order of pemdas. PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction.

HELP ME OUT ASAP!!!!!

Answers

Answer:

13.5

Step-by-step explanation:

1350/100=13.5

Answer:

13.5 gallons

Step-by-step explanation:

you divide basically I don't know how to explain but that's the answer

Plsss help me I have a limited amount of time!!!
I will give brainliest!!!

Answers

Answer: (5x² +3) (5x² - 9)

Plz mark brainliest:)

Answer:

[tex](5x^2+3)(5x^2-9)[/tex]

Step-by-step explanation:

NEED HELP NOW One solution to a quadratic equation is x=-5/3 What is true about any remaining solutions? There are no complex solutions. There are no other real solutions. There are two or more complex solutions. There is exactly one complex solution. There is exactly one more real solution. There are at least two more real solutions.

Answers

Given:

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex].

To find:

The true statement about remaining solutions.

Solution:

We know that, number of solution to a quadratic equation is 2.

According to the complex conjugate root theorem, if a complex number x+iy is a root of an equation then its conjugate x-iy is also a root of that equation.

It means, the complex roots are in the pair of two.

Using complex conjugate root theorem, a quadratic equation has either 0 complex roots or 2 complex roots.

One solution to a quadratic equation is [tex]x=-\dfrac{5}{3}[/tex], which is real.

There are no complex solutions and there is exactly one more real solution.

Therefore, the correct options are A and E.

On weeks days, Aaron gets home from school at 4:30 p.M., and his bedtime is at 9:00 p.M. If he spends 90 minutes playing football, 35 minutes eating dinner, and 1 hour and 45 minutes doing homework, how much time after school will Aaron have left to play video games?

Answers

Answer:

40 minutes

Step-by-step explanation:

Time at which Aaron gets home from school = 4:30 PM

Bedtime for Aaron = 9:00 PM

Total available for Aaron = 9:00 - 4:30 = 4 hr 30 minutes

To convert minutes to hours, we need to divide by 60.

Time spent in playing football = 90 minutes = [tex]\frac{90}{60} = 1\ hr\ 30\ minutes[/tex]

Time spent eating dinner = 35 minutes

Time spent in doing homework = 1 hr 45 minutes

Total time spent = 1 hr 30 minutes + 35 minutes + 1 hr 45 minutes = 2 hr 110 minutes = 3 hr 50 minutes

Time left for Aaron to play video games = 4 hr 30 minutes - 3 hr 50 minutes = 40 minutes

Review the proof of Cosine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 + cosine theta Over 2 EndFraction EndRoot.

Which step contains an error?

Answers

Answer:

Error in step (5)

Step-by-step explanation:

Steps                             Statements

    1                            cos(2x) = 2cosx - 1

    2                           Let (2x) = θ

    3                           Then x = [tex]\frac{\theta }{2}[/tex]

    4                           cos(θ) = [tex]2\text{cos}^2{\theta}-1[/tex]

    5                           cos(θ) + 1 = [tex]2\text{cos}^2{\frac{\theta}{2}}[/tex]

    6                            [tex]\frac{1+\text{cos}\theta }{2}=cos^{2}\frac{\theta }{2}[/tex]

    7                            [tex]\text{cos}^{2}\frac{\theta }{2}=\frac{1+\text{cos}\theta }{2}[/tex]

    8                            [tex]\text{cos}(\frac{\theta }{2})=\pm \sqrt{\frac{1+cos(\theta)}{2} }[/tex]

By comparing the solution given in the picture attached with the solution above,

Step 5 has error.

There should be [cos(θ) + 1 = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]] in place of [-1 + cos(θ) = [tex]2\text{cos}^2({\frac{\theta}{2}})[/tex]]

Answer:

C. Step five

Step-by-step explanation:

got it right on edge :)

Shawna is going out of town for the day, so she asks a friend to watch her 3 dogs. She wants to 1 leave of a pound of food for each dog. If a can of dog food has 0.75 pounds of food, how many 2 cans should Shawna leave?​

Answers

Answer:

2

Step-by-step explanation:

if she has 3 dogs and each gets a pound of food. Each can if food has .75 pounds in it then you would times that by then you would get 4 cans of food.

Shawna wants to leave 1 pound of food per dog, and she has 3 dogs. So, she needs 3 pounds of food in total.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

A can of dog food has 0.75 pounds of food.

To determine the number of cans of food Shawna should leave, divide the total amount of food she needs (3 pounds) by the amount of food in each can (0.75 pounds).

⇒ 3 pounds / 0.75 pounds/can = 4 cans of food.

Therefore, Shawna should leave 4 cans of food for her 3 dogs.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

What is \text{P(roll less than 4})P(roll less than 4)start text, P, left parenthesis, r, o, l, l, space, l, e, s, s, space, t, h, a, n, space, 4, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Incomplete question:

A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.

Answer:

P(roll less than 4) = 0.50

Step-by-step explanation:

First, we need to list the sample space.

[tex]S = \{1,2,3,4,5,6\}[/tex]

From the above, we have that:

[tex]n(S) = 6[/tex] i.e. total rolls

Represent Rolls less than 4 with L4; So,

[tex]L4 = \{1,2,3\}[/tex]

[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4

The required probability is calculated as:

[tex]Probability = \frac{n(LA)}{n(S)}[/tex]

[tex]Probability = \frac{3}{6}[/tex]

[tex]Probability = 0.50[/tex]

Answer: 0.50

Step-by-step explanation: Khan academy

Anthony works in a grocery store.apples are on sale this week for 5 pounds for $12.00 .How much would 3 pounds cost?

Answers

Answer:

7.20

Step-by-step explanation:

12/5=2.4

2.4 for lb of apples

2.4*3=7.2

Answer:

$7.20 for 3 pounds

Step-by-step explanation:

Complete each table for the given sequence. Then write the ordered pair

Answers

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

Which values from the set {−8, −5, −1, 0, 2, 4, 9} satisfy this inequality?

−12x + 6 ≥ 8

a. -8 -5 -1 0 2 4 9
b. -8 and -5 only
c. 4 and 9 only
D.-8 -5 and -1 only

Answers

Answer:

the answer that i got was D

Step-by-step explanation:

i did -12x+6

the X is the numbers that they give you so

you would do -12*-8+6 = 102 which is bigger than 8

then you would do -12*-5+6= 66 which is bigger than 8

and last but not least you do -12*-1+6=18 which is bigger than 8

who ever answers this right gets brainliest

Answers

Answer

d.?

Step-by-step explanation:

Please help!
Translations and dilation

Answers

Answer:

It looks to me to be a dilation of the old figure

Step-by-step explanation:

The old figure is bigger than the new one. in order for this to happen you need to make it smaller. These to are also similar triangles

P.s.

I hope it is right and it helps you

A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

Answers

Given :

A 7-inch candle burns at a rate of 2 inches an hour.

To Find :

An equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns.

Solution :

We know, linear equation is given by :

[tex]y = mx + c[/tex]

At x = 0 -> y = 7

So,

7 = m(0) + c

c = 7       .....1 )

At x = 1 -> y = 5

So,

5 = m(1) + c

c + m = 5   .....2 )

Solving equation 1 and 2 , we get :

m = -2 and c = 7

Therefore, equation is given by y = -2x + 7 .

Hence, this is the required solution.

Answer:7–2x

Step-by-step explanation: you are subtracting 7 from 2 hours /x

A bag contains:


4 blue marbles


2 green marbles


1 red marble


A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

Answers

1:2 I think it could possibly be 1 out of 2 because there’s 2 green marbles and 1 red marble there for that could be your probability

Someone pls help and write the equation pls and the answer

Answers

Answer:[tex](-7-2)=-3(-3-0)[/tex]

Step-by-step explanation:

First use slope intercept form to find the value of b (the y intercept). The slope intercept formula is

[tex]y=mx+b[/tex]

Since we are given the point (-3,2), we can say that y=2 and x=-3. m=-3. Then we get

[tex]2=-3(-3)+b[/tex]

[tex]2=9+b[/tex]

[tex]b=-7[/tex]

Since we now have the y intercept, we can convert it to a point: (0,-7). Plug this into the point slope equation:

[tex](y_{1}-y_{2})=m(x_{1}-x_{2})[/tex]

Our first point is (-3,2). Our second point is (0,-7). Therefore:

[tex]x_{1}=-3\\y_{1}=2\\x_{2}=0\\y_{2}=-7\\m=-3[/tex]

Plugging into the equation, we get

[tex](-7-2)=-3(-3-0)[/tex]

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $31.50 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost less than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.

Answers

Answer:

m>575

Step-by-step explanation:

let the total cost be y

and the number of minutes be m

Plan A

$20 and additional 6cent

6cent to dollar =$0.06

the linear expression is given as

y=20+0.06m---------1

Plan B

$31.5 and additional 4cent

6cent to dollar =$0.04

the linear expression is given as

y=31.5+0.04m----------2

Equating 1 and 2 we can find m

20+0.06m=31.5+0.04m

20-31.5=0.04m-0.06m

-11.5=-0.02m

m=11.5/0.02

m=575

therefore m>575

Give the place value of the digit 2 in 853,267,149.

Answers

Answer:

hondred thosend

Step-by-step explanation:

Answer:

The place value is the hundred thousands place.

Step-by-step explanation:

<3

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