MATHEMATICS HIGH SCHOOL

A ball is thrown vertically upwards from a height of 6 feet with an initial velocity of 40 feet per second. How high will the ball go? Note that the acceleration of the ball is given by feet per (second)2. Round your answer to the four decimal places.

Answers

Answer 1

Answer:

Answer:

The maximum height that the ball reaches is sf = 31 feet from the ground

Step-by-step explanation:

Solution:-

- A ball is thrown vertically upwards from an initial elevation of si = 6 feet from the ground.

- The velocity with which the ball was thrown up, vi = 40 ft/s

- We can determine the maximum height of the ball when it is thrown vertically up by using the 3rd kinematic equation of motion.

vf^2 - vi^2 = 2*g*( sf - si )

Where,

vf : The final velocity of the ball, for maximum height it is = 0

sf : The final height of the ball from the ground

g : Gravitational constant = -32 ft/s^2

0 - 40^2 = -2*32*( sf - 6 )

sf - 6 = 25

sf = 31 feet

- The maximum height that the ball reaches is sf = 31 feet from the ground.

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Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of coffee cake Susan bakes. What is the objective function for the problem? A. P = 15x + 16yB. P = 5x + 7y
C. P = 5x + 4y
D. P = 4x + 5y

Answers

Answer:

Option C is correct that is P=5x+4y

Step-by-step explanation:

We have given She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour

Let x represents number of loaves of pumpkin bread

And y represents the number of loaves of coffee cake Susan bakes

Since, She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each.

Hence, P=5x+4y

Therefore, option C is correct.

The answer is C because in the problem, it states that Susan is selling pumpkin bread for 5 dollars, in which would be 5x. It also stated that she is selling coffee cake for 4 dollars each, in which would be 4x. When you add 5x and 4x, you will get the objective function.

What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction?StartFraction 2 over 9 EndFraction
2
StartFraction 9 over 2 EndFraction
9

I NEED HELP QUICK!

Answers

We have been given an equation $(x)/(y)=(2)/(9)$ . We are asked to find constant of proportionality from our given equation.

We know that two directly proportional equations are in form $y=kx$ ,where y is directly proportional to x and k is constant of proportionality.

Let us rewrite our given equation by cross multiplying as:

$2y=9x$

Now we will divide both sides of equation by 2.

$(2y)/(2)=(9x)/(2)$

$y=(9)/(2)x$

We can see that our equation is in form $y=kx$ and constant of proportionality is $(9)/(2)$ .

Answer:

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Picture:

1680 at 12% for 6 months

Answers

Answer:

Could you please expand on your question? Once you do I will edit the answer I put (this) to telling the answer. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

How do u simplify 15x^4 y^2 over 40x^3 y^2

Answers

$(15x^4y^2)/(40x^3y^2)=(3)/(8)x^(4-3)y^(2-2)=(3)/(8)x^1y^0=(3)/(8)x$

X squared + ysquared-6y=-5

Answers

Standard Form of the circle:

$x^(2) +(y-3) ^(2) =14$

For y:

y=3 (+/-) $√(-x) ^(2) +14$

For x:

x= $\sqrt{-y ^(2) } +6y+5 and - √(-y) ^(2) +6y+5$

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