Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!

Answer:

6 times

Step-by-step explanation:

If there are total of 6 marbles and 3 are pink, then you will have a one half (or 50%) chance of picking a pink marble. Because you put the marble back each time, your chance of picking a pink marble remains the same every time.

So one half of 12 is 6. You are predicted to pick a pink marble 6/12 times.

Answer:

2 x 2 x 2 x 2 = 16 possible outcomes

You have two sides of a coin, you flip 4 coins.

Now we just multiply 2 by itself 4 times.

Answer:

Tails, Head, Tails, Head

Tails, Tails, Head, Head

Head, Head, Tails, Tails

Head, Tails, Head, Tails

Tails, Tails, Tails, Head

Tails, Tails, Head, Tails

Tails, Head, Tails, Tails

Head, Tails, Tails, Tails

Head, Head, Head, Tails

Head, Head, Tails, Head

Head, Tails, Head, Head

Tails, Head, Head, Head

​Tails, Tails, Tails, Tails

Head, Head, Head, Head

Answer:

200 + 0.8x = 300

200 + 0.8x = 300

- 200 - 200

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

0.8x = 100

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

0.8 0.8

x = 125

Step-by-step explanation:

You have a TOTAL of 300 and want to spend it on the golf course. 200 MUST REMAIN in order to purchase other items. Golf balls are at a price of 0.8 EACH. The amount of golf balls that can be purchased is unknown so we can place x as the number of balls purchased for 0.8 each. (I bolded some words because it can help to how to set up an equation and where they should go. :D) I hope my explanation is clear enough for you to understand. I also solved the inequality above ^^^! I hope this helps!

Answer:

B

Step-by-step explanation:

4,3 is x 4 y 3

Answer:

B

Step-by-step explanation:

graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times

Answer:

The angle formed is ∠LMK and the intercepted arc is LK.

Step-by-step explanation:

The given figure shows a circle of radius M. L and K are other points on the circle.

The distance from the center of the circle to a point on the circle is called radius.

LM and MK are the radius of the circle or

LM = MK

The angle formed is ∠LMK.

The intercepted arc is LK.

Answer:

Angle NKQ is 68 Degrees.

Step-by-step explanation:

With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.

Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.

Since Angle NKQ shares these arcs, we can use the equation:

Big Arc + Small Arc / 2

to get the measure of this angle

(248 - 112) / 2

With this, Angle NKQ is 68 degrees.

Answer:

x = -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=-1

Because,

If we add 1+(-1)

It would be 0.

Answer:

top x=22°

bottom x= 45°

m=22°

Step-by-step explanation:

The diagrams were lacking typical symbols in these types of problems so I made a few assumptions if it was drawn to scale.

Answer:c and f

Step-by-step explanation:

6.1E-4= 6.1 x 10^⁴ =0.00061

Find the scale using the two bases:

9/12 = 3/4

The smaller triangle is 3/4 of the larger one.

Multiply the known side by 3/4

X = 8 x 3/4 = 6

X= 6

Answer:

the volume of the square pyramid is 750 cm³

Answer:

77 is the correct answer I think so

Answer:

a)77

Step-by-step explanation:

Answer:

c is correct

Step-by-step explanation:

Answer:

earthquake

Step-by-step explanation:

I think it's right

Answer:

A) the down payment was $ 1,746, B) the total amount of the montly payments is $ 11,632.32, C) the total cost is $ 13,378.32, and D) the finance charge is 14.93%.

Step-by-step explanation:

Given that Carl bought a sailboat for $ 11,640 on the installment plan, and the installment agreement included a 15% down payment and 18 monthly payments of $ 646.24 each, to determine A) how much is the down payment, B) what is the total amount of the monthly payments, C) what is the total cost she paid for the sailboat on the installment plan, and D) what is the finance charge, the following calculations must be performed:

A) 11,640 x 0.15 = 1,746

B) 18 x 646.24 = 11,632.32

C) 11,632.32 + 1,746 = 13,378.32

D) 11,640 = 100

     13,378.32 = X

     13,378.32 x 100 / 11,640 = X

     1,337,832 / 11,640 = X

     114.93 = X

Therefore, A) the down payment was $ 1,746, B) the total amount of the montly payments is $ 11,632.32, C) the total cost is $ 13,378.32, and D) the finance charge is 14.93%.

Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

[tex]5x + 3y = 25 \\ 5x = 25 - 3y \\ x = \frac{25 - 3y}{5} \\ x = \frac{25}{5} - \frac{3y}{5} \\ x = 5 - \frac{3y}{5} \\ 3x + 4y = 26 \\ 3 (5 - \frac{3y}{5} ) + 4y = 26 \\ 15 + \frac{11y}{5} = 26 \\ \frac{11y}{5} = 26 - 15 \\ \frac{11y}{5} = 11 \\ \frac{5}{11} \times \frac{11y}{5} = 11 \times \frac{5}{11} \\ y = 5 \\ x = 5 - \frac{3y}{5} \\ x = 5 - \frac{3(5)}{5} \\ x = 2[/tex]

(x,y)—> (2,5)

Answer:

4'999 + 664 = 5663

Step-by-step explanation:

all chickens laid one egg so that is 4'999 then the next day 664 of them laid one egg that is how I know what it is.

your  welcome for the help.

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 9^2 = 15^2

a^2 +81 =225

Subtract 81 from each side

a^2 = 225-81

a^2 = 144

Take the square root of each side

sqrt(a^2) = sqrt(144)

a=12

Answer:

a = 12 meters

Step-by-step explanation:

Use pythagorean theorem to identify the missing leg

pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

In this case, we are looking for a so...

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+9^2=15^2[/tex]

[tex]a^2+81=225[/tex]

[tex]a^2=225-81[/tex]

[tex]a^2=144[/tex]

It doesn't make sense for a to be equal to 144 so we must square root 144

144 = [tex]12^{2}[/tex] meters

Final Answer: 12 meters

Answer:

75.36.

Step-by-step explanation:

C= Pi D (Pi times diameter) so you do 3.14x 24 which then you get your answer of 75.36.

Answer:

972

Step-by-step explanation:

First, multiply 6 and 18 together to get 108.

Next, multiply 108 and 9 together to get your final answer of 972.

Answer:

Mr. Berg got $4 in change.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you look at the model, you see that the bottom of the shape is square. So looking at the flat model, which one is thhe one with a square as a base. B does.