A model rocket is launched from the ground with an initial velocity of 160 ft/sec. how long will it take the rocket to reach its maximum height? Show all work in the space provided. Assume the model rocket’s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.

Final answer:

To decide the better purchase between two sizes of shampoo, the cost per ounce is calculated, showing that the 18oz option at $0.22 per ounce is more economical than the 24oz option at $0.25 per ounce.

Explanation:

To determine which shampoo option is the better buy, we calculate the cost per ounce for each option. Cost per ounce is calculated by dividing the total cost of the product by the total number of ounces.

For the 18oz shampoo at $3.99, cost per ounce = $3.99 / 18oz = $0.22 per ounce.

For the 24oz shampoo at $5.99, cost per ounce = $5.99 / 24oz = $0.25 per ounce.

The 18oz shampoo at $0.22 per ounce is the better buy compared to the 24oz shampoo at $0.25 per ounce because you are paying less per ounce.

When two forces act on an object with opposite directions and equal magnitudes, the net force can be zero, leading to equilibrium. This state of equilibrium ensures no acceleration in any direction. Internal forces within a system always occur in opposite pairs, resulting in a net internal force of zero.

Net Force Must Be Zero: When an object has two forces acting on it, the net force can equal zero if the forces are equal in magnitude but opposite in direction, canceling each other out. This results in a balanced force system, leading to equilibrium.

Examples of Equilibrium: One example is a car moving at a constant speed on a highway due to balanced forces. In static equilibrium, both the net force and net torque on an object must be zero, showing no acceleration in any direction.

Internal Forces: Internal forces within a system always appear in equal and opposite pairs, resulting in a net internal force of zero within the system.

Juanita keeps 25% of the profit from her ice cream shop.

The shop makes $750 per month.

We have to find how much money Juanita will keep.

By the given condition,

Juanita will keep 25% of $750 profit

Now 25% of $750 is 25 /100 * 750

= 18750/100

= $187.50

Therefore Juanita will keep $187.50 of her total profit of $750 per month.

Hope this helps..!!

Thank you :)

Answer:

Option 4

Step-by-step explanation:

Given : d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.

To find : The correct  simplification

Solution :

d to the 7th power = [tex]d^7[/tex]

g to the 13th power = [tex]g^{13}[/tex]

d to the 7th power times g to the 13th power =  [tex]d^7\times g^{13}[/tex]

d to the 2nd power = [tex]d^2[/tex]

g to the 7th power = [tex]g^7[/tex]

d to the 2nd power times g to the 7th power =  [tex]d^2\times g^{7}[/tex]

According to question,

d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.

[tex]=\frac{d^7\times g^{13}}{d^2\times g^7}[/tex]

[tex]=d^{7-2}\times g^{13-7}[/tex]

[tex]=d^{5}\times g^{6}[/tex]

Therefore, Option 4 is correct.

Answer: 120 people like brand A better

Step-by-step explanation:

Given is a square pyramid with a base length of 5 centimeters and a height of 6 centimeters.

The volume formula of square pyramid is given by :-

[tex] volume = \frac{1}{3} (base\; area)(height) [/tex]

Base area would be a square of side length equal to 5 centimeters.

Area of square = (side)² = 5 × 5 = 25 squared centimeters.

Now, volume of square pyramid = [tex] \frac{1}{3} (25)(6) [/tex] = 50 cubic centimeters.

So, final answer is 50 cubic centimeters.

The easiest option will definitely be:

x = 5 and y = y

Hope it helped,

Happy homework/ study/ exam!

1. The value of x is 3.96

2. The value of x is 3.75

Similar triangles are triangles with equal corresponding side ratios and equal corresponding angles.

For two triangles to be Similar, the ratio of their corresponding sides must be equal.

Using similar triangles theorem;

1. x /6 = 3.3/5

5x = 19.8

x = 3.96

2. x/1.5 = 10/4

4x = 1.5 × 10

4x = 15

x = 15/4

x = 3.75

we know that

the equation of the line in the form point-slope is equal to

[tex]y-y1=m*(x-x1)[/tex]

in this problem we have

[tex]point(4,-1)\\\\m=\frac{3}{2}[/tex]

Substitute the values

[tex]y+1=\frac{3}{2}*(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-1\\\\y=\frac{3}{2}x-7[/tex]

therefore

the answer is

[tex]y=\frac{3}{2}x-7[/tex]

Final answer:

By setting up an equation based on the given ratio 2:5 and the additional information that Julie receives £45 more than Pat, we find that Pat received £30.

Explanation:

The question deals with understanding ratios and how they can be used to solve problems involving sharing amounts in specified proportions. Pat and Julie share some money in the ratio 2:5, and it's given that Julie gets £45 more than Pat. To approach this problem, let's designate the amount Pat receives as 2x and the amount Julie receives as 5x, where x is a common multiplier.

It is stated that Julie gets £45 more than Pat, which can be represented as 5x = 2x + 45.

Solving the equation for x gives us 3x = 45, hence x = 15.

To find out how much Pat received, we substitute x = 15 into 2x, giving us 2(15) = 30.

Therefore, Pat got £30.