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

Step-by-step explanation:

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

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.

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.

Answer:

5 balls

Step-by-step explanation:

Answer:

It is 13 balls.

Step-by-step explanation:

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

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.

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 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 .

Answer:

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

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

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

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

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

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

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

Answer:

x=50

Step-by-step explanation:

(x-10)+x+90=180

2x-10+90=180

2x+80=180

2x=100

x=50

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

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

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

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 :)

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!

Answer:

2250

Step-by-step explanation:

Answer:

It is D or B. If i am not mistaken

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:

Answer:

16.6

Step-by-step explanation:

Answer: 2

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

Answer:

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

Step-by-step explanation:

Hello!

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

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.

2. Subtract 9 from BOTH sides.

3. Simplify.

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

5. Simplify.

Therefore, your answer is X = 3

Answer:

im pretty sure the last one

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer: 5 more students need to sign up.

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