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katrin [286]
2 years ago
8

An object is dropped (g = 9.80 m/s ^ 2) and falls for 5.00 s before hitting the ground. How fan has the object fallen

Mathematics
1 answer:
mixer [17]2 years ago
5 0

Answer:

122.5 m

Step-by-step explanation:

s = ½g.t²

= ½×9.8×5² = 122.5

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frez [133]

Answer:

38.11 and 3.66

Step-by-step explanation:

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3 years ago
Find the y value for point F such that DF and EF form a 1:3 ratio. E(2,4) D(-3,-3)
Mice21 [21]
I drew the segment and used Pythagorean theorem to solve for its measure. The line formed is the hypotenuse of the imaginary right triangle.

Among the choices only -1.33 and -1.25 is a feasible choice. But I am leaning towards -1.25 as the y-value of point F based on my diagram. Please see attachment

8 0
3 years ago
Read 2 more answers
What description represents the expression 5x -9?
mixer [17]

Answer:

A: 9 is subtracted from the product of 5 and a number.

Step-by-step explanation:

We know this because when a varible is place directly next to a number then the number is being multiplied by an unknow number. So in this equation five is being multiplied by an unknown number and nine is being subtracted from that.

6 0
2 years ago
The price-demand equation for hamburgers at a fast food restaurant is given by the equation below. Currently the price of a hamb
Hitman42 [59]
<h3>Answer: Revenue decreases by 23.2%</h3>

==========================================

Work Shown:

x = demand

p = price

Solve for the demand x when the price is p = 4.50 dollars.

x+500p = 3500

x+500(4.50) = 3500

x+2250 = 3500

x = 3500-2250

x = 1250

If the price is $4.50, then the demand is 1250 (ie 1250 people will want a hamburger)

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

Compute the revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (4.50)*(1250)

Revenue = 5625

If the price per burger is $4.50, then the revenue is $5,625.

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

Let's increase the price by 20%. To do this, multiply by 1.20

1.20*4.50 = 5.40

The price of the burger is now $5.40

Let's see what x will become after we plug in p = 5.40

x+500p = 3500

x+500(5.40) = 3500

x+2700 = 3500

x = 3500-2700

x = 800

The demand has dropped to 800

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

Next compute the new revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (5.40)*(800)

Revenue = 4320

The revenue is now $4,320

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

Lastly, find the percent change from the old revenue ($5,625) to the new revenue ($4,320)

A = old value = 5625

B = new value = 4320

C = percent change from A to B

C = 100*(B-A)/A

C = 100*(4320-5625)/5625

C = 100*(-1305/5625)

C = 100*(-0.232)

C = -23.2%

The negative C value indicates a percent decrease.

<h3>Revenue has decreased by 23.2%</h3>
6 0
3 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4000/3*π in^3. One day, her sink clogged. Sh
In-s [12.5K]

Answer:

  (A)  125 scoops

  (B)  31 scoops

Step-by-step explanation:

The volume of a cup in terms of radius and height is ...

  V = (1/3)πr²h

The radius is half the diameter, so the volume in terms of diameter is ...

  V = (1/3)π(d/2)²h = (π/12)d²h

The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...

  n = (4000π/3)/((π/12)d²h)

  n = 16000/(d²h)

__

(A) The number of cups required of diameter 4 and height 8 is ...

  n = 16000/(4²·8) = 125

  125 scoops are required to empty the sink

__

(B) The number of cups required of diameter 8 and height 8 is ...

  n = 16000/(8²·8) = 31.25 ≈ 31

  31 scoops are required to empty the sink

6 0
2 years ago
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