Debbie launched a toy rocket off a hill next to Lake Lakewood. The height h of the rocket in feet above the surface of the lake can be modeled by h = 340 + 100 t − 16 t 2 h=340+100t−16t 2 , where t is the time in seconds after the launch

Answers

Answer 1

Answer:

t = 8.69 s

Step-by-step explanation:

The height h of the rocket in feet above the surface of the lake can be modeled by :

[tex]h=340+100t-16t^2[/tex]

Let we need to find the time to reach the ground. When it reach the ground, h = 0

[tex]340+100t-16t^2=0[/tex]

We need to find the value of t.

t = 8.69 s and -2.45 s

Neglecting negative value,

t = 8.69 s

Hence, it will take 8.69 s to reach the ground.


Related Questions

............Find .....X......

Answers

Answer:

x=50

Step-by-step explanation:

(x-10)+x+90=180

2x-10+90=180

2x+80=180

2x=100

x=50

looking from the picture it would be 50

in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the club, how many more students does the club need

Answers

Answer: 5 more students need to sign up.

1. which of these is the correct order of the rational numbers from greatest to least ?

A: 5/2, 1, 3/4, 1/2
B: 3/4, 1/2, 5/2, 1
C: 5/2. 1, 1/2, 3/4
D: 1/2, 5/2, 3/4, 1

2. which of these is the correct order of the rational numbers from greatest to least ?

A: 0.34, 3.5, 0.82, 0.57
B: 3.5, 0.82, 0.57, 0.34
C: 0.82, 0.57, 3.5, 0.34
D : 0.57, 3.5, 0.82, 0.34

PLS HELP !

Answers

Step-by-step explanation:

AB

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

ANSWER ASAP PLZ Which expression is equivalent to 24 + 64?

8(3 + 64)
8(16 + 56)
8(3 + 8)
8(16 + 64)

Answers

Answer:

8(3+8)

Step-by-step explanation:

24+64=88

Now you have to find which expression equals 88.

8(3+64)=8x3+8x64=24+512=536

8(16+56)=8x16+8x56=128+448=576

8(3+8)=8x3+8x8=24+64=88

Therefore, 8(3+8) is correct.

Answer:

C

Step-by-step explanation:

8+3 is 11 and 11 x8 is 88 and 24 + 64 is 88

                                    And I have a question for you

                                              are you flvs

Two gallons of paint covers about 900 square feet. How many square feet will 5
gallons of paint cover?
will give brainleist is correct

Answers

Answer:

2250

Step-by-step explanation:

2250 square feet. Divide 900 by two=(450 square feet per paint can) then multiply that by 5 to get the total sqfeet. :)

HELP PLS
Raise 5 to the 9th power, then subtract j from the result

Answers

Answer:

expression is ([tex]5^{9}[/tex]) - j

Step-by-step explanation:

^^

5 is raised to the 9th power and then subtraced by j

you dont *really* need the () bc of pemdas but whatever

5^9=1953125
1,953,125-j

Anna made and sold x ceramic vases one week. Her profit, P, in dollars is calculated using the formula P = R - C . Where R represents her revenue and C represents her costs. If R = 25x - 0.5x ^ 2 C = 100 + 5x which expression represents her profit in dollars?

Answers

Answer:

-0.5x² + 20x + 100

Step-by-step explanation:

Given:

R = 25x - 0.5x²

C = 100 + 5x

P = R - C

Where,

P = profits

R = Revenue

C = Cost

which expression represents her profit in dollars?

P = R - C

R = 25x - 0.5x²

C = 100 + 5x

= 25x - 0.5x² -(-100 + 5x )

= 25x - 0.5x² + 100 - 5x

= -0.5x² + 20x + 100

The expression which represents her profit in dollars is -0.5x² + 20x + 100

I'm taking my final please answer this and wish me luck

Answers

Answer:

B 7feet

Step-by-step explanation:

Side a = 24

Side b = 25

Side c = 7

Angle ∠A = 73.74° = 73°44'23" = 1.287 rad

Angle ∠B = 90° = 1.5708 rad = π/2

Angle ∠C = 16.26° = 16°15'37" = 0.28379 rad

C=16.26°B=90°A=73.74°b=25a=24c=7

Area = 84

Perimeter p = 56

Semiperimeter s = 28

Height ha = 7

Height hb = 6.72

Height hc = 24

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

What is a sales tax?

Answers

Sales tax is an additional amount of money you pay based on a percentage of the selling price of goods and services that are purchased. For example, if you purchase a new television for $400 and live in an area where the sales tax is 7%, you would pay $28 in sales tax. Your total bill would be $428.88

5. What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2?

Answers

Answer:

14x-2

Step-by-step explanation:

In order to find the perimeter we need to add the length and width together. So adding 5x and 9x gives us 14x. -4+2=-2

The perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2 is, 28x-4

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

length of rectangle = 9x - 4

width of  rectangle =  5x+2

As we know,

Perimeter = Sum of length of the all the sides

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

Perimeter =  28x-4

Hence, The perimeter is  28x-4

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ2

A ball is thrown from the top row of seats in a stadium. The function h(t)=-16t2+48t+160 gives the height, t, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?

Answers

Answer:

t = 5 s

Step-by-step explanation:

The function that gives the height in feet of the ball t seconds after it is thrown is :

[tex]h(t)=-16t^2+48t+160[/tex]

We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.

So,

[tex]-16t^2+48t+160=0[/tex]

We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.

t = -2 s is not possible.

Hence, the ball will hit the ground before 5 seconds.

Hitomi has a total of 30 red and blue bowling balls at her bowling alley. Each red ball weighs 8 lbs. Each blue ball weighs 9 lb. If the total mass of the blue balls is 49 lb. heavier than the total mass of the red balls, how many red balls does she have?

Answers

Answer:

5 balls

Step-by-step explanation:

Answer:

It is 13 balls.

Step-by-step explanation:

9(30-x) = 8x + 49 is the equation.

How many solutions does this equation have
6x + 2x - 4= 4(2x - 1)

Answers

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

6x + 2x - 4 = 4 ( 2x - 1 )         Equation

Step 2:

8x - 4 = 8x - 4          Combine Like Terms

Step 3:

8x = 8x         Add 4 on both sides

Answer:

All Real Numbers

Hope This Helps :)

What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

What is the y-intercept of the function?

Answers

Answer:

-5

Step-by-step explanation:

Find the value of X

Answers

Answer:

should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees

the total angle is 180.

50 + 50 + x = 180

thus , x = 80

Help ASAP please! Thanks.

Answers

Answer:

im pretty sure the last one

Step-by-step explanation:

Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthly payments of $109.68. What is the total amount of interest hundred will pay? ( there's no answer choices)

Answers

Answer: $448.48

Step-by-step explanation:

The amount Hunter will pay in total is;

= 109.68 * 12 months * 3 years

= $‭3,948.48‬

Interest he will pay = Amount paid - Loan amount

= ‭3,948.48‬ - 3,500

= $448.48

The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the following is the value of n?

Answers

Answer:

6

Step-by-step explanation: You can set up the equation: [tex]\sqrt{\frac{n}{3} }[/tex] = [tex]\sqrt{n-4}[/tex] You square both sides to cancel out the squares which leaves you with [tex]\frac{n}{3}[/tex] = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with [tex]\sqrt{2}[/tex] on both sides.

Need help this is for MATH

Answers

Answer:

It is D or B. If i am not mistaken

Please help me answer this

Answers

Hello!

Answer:

[tex]\boxed{ \bf x=6}[/tex]

Explanation:

3(x + 3) = 18

⇒ Step 1 - Multiply everything in the brackets by 3:

3x + 9 = 18

Step 2 - Subtract 9 from both sides of the equation:

3x + 9 = 18

     - 9    - 9

3x = 18

Step 3 - Divide both sides of the equation by 3.

[tex]\frac{3x}{3} = \frac{18}{3}[/tex]

x = 6

Answer: x = 3

Step-by-step explanation:

1. Distribute.

3(x+3)=183x+9=18

2. Subtract 9 from BOTH sides.

3x+9-9=18-9

3. Simplify.

Subtract 9 from BOTH sides.3x=9 is the answer.

4. Divide BOTH sides of the equation by the same term.

[tex]\frac{3x}{3} =\frac{9}{3}[/tex]

5. Simplify.

Cancel out the terms that are both in the numerator and the denominator.Divide the numbers.

Therefore, your answer is X = 3

PLEASE HELP ASAP!?!?!?

Answers

Answer:

i only did the second one!

but i am still trying to solve the first.

Hope I am correct! please forgive me if this is wrong!

I did also the first one!

I just need to know what elevation did Winston reach during his deepest dive?

Answers

Answer: 20.2 * -2.5ft = -50.5ft

Hence, Winston reach -50.5 feet during his deepest dive.

If your question was this: On Wednesday at 9 a.m., Winston went diving. Near the beach, the ocean’s surface was at an elevation of -2.5 feet. During his deepest dive, Winston reached an elevation that was 20 1/5 times the elevation of the ocean’s surface. What elevation did Winston reach during his deepest dive? Then that should be your answer....                                         I had this question too, and this is what i got....

Hope this helps.... Stay safe and have a Merry Christmas!!!!!! :D

Helped need plzs , due by 11:59

Answers

Answer:

x = 10

Step-by-step explanation:

The two triangles are similar, and it says that VUT is similar to EFG so side VT corresponds to side EG which means that 8 is just side VU divided by 2.

This means that side EG is 14 divided by 2 and that is 7.

This results in the equation " 2x - 13 = 7" First, add 13 to both sides of the equation to get rid of the -13. This gives 2x = 20. Then divide both sides by two to cancel out and get rid of the 2 in 2x. This leaves x as 10.

through: (3,-2) and (0, -2)

Answers

Answer: IF FINDING THE EQUATION,
y= -2


Explained : m came out to be zero, so there is no mx term.

Jody has 4 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?

Answers

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

Answer: 4 to 6 marbles

Step-by-step explanation:

the opposite of 5x and 5x+8?

Answers

the opposite or addictive increase of 5x is -5x.

the opposite or addictive increase of 5x + 8 is -5x -8.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+85 f - 1 ( x ) = x 5 + 8 5 is the inverse of f(x)=5x−8 f ( x ) = 5 x - 8 .

1+1??????????????????????????????????????????

Answers

Answer: 2

Step-by-step explanation: 1+1=2

Answer:

1+1=2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Help please its not 4/9ths

Answers

the answer is -16 because a perfect square can’t be negative

Answer:

-16

Step-by-step explanation:

[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]

The square of each real number is non-negative

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