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Lena [83]
3 years ago
13

a stone falls from a ledge and takes 8 seconds to the hit the ground. the stone has an original velocity of 0 m/s. how tall is t

he ledge?
Mathematics
2 answers:
Verizon [17]3 years ago
6 0
Using equation of motion.

S = ut + (1/2)gt²

Where S = Height, t = time, g = acceleration due to gravity = 9.8 m/s²

time, t = 8 seconds 

Since it was dropped from height, initial velocity, u = 0

S = 0*t + (1/2)gt²

S = (1/2)gt²

S = (1/2)*9.8*8²  = 4.9 * 8 * 8 =  313.6

Therefore the ledge is 313.6 m tall.
sattari [20]3 years ago
4 0
If it is moving at 0m/s then it isn't even moving...
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Step-by-step explanation:

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Which operation should you perform first in the expression 15 + 7 × (5 − 3) × 42 ÷ 6?
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A college charters a bus for $1300 to take a group of students to see a Broadway production. When 14 more students join the trip
tiny-mole [99]
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
 = the original cost per student
and
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Original cost - actual cost = $12.50
 -  = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators

1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
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x^2 + 10x - 1200 = 0
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(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
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6 0
3 years ago
7 digit number 8,920,000 when rounded to nearest 10 thousand. Digits in tens &amp; hundreds are the least &amp; same value. Valu
kirill [66]
First we can conclude that the number is:
8,9 x x, x x x ( 7-digit number ) and the value of ten thousand digit it 1 or 2. But if value of thousand digits must be the double of the value of ten thousand digits, then the number is:
8,924, x x x ( because it can not be 8,912, x x x - that number should be 8,910,000 rounded to a ten thousand digit ).
Then tens and hundreds are same and the least value. That value is zero.
8,924,00 x.
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24 - ( 8 + 9 + 2 + 4 + 0 + 0 ) = 24 - 23 = 1
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8 0
3 years ago
The cost of internet access at a café is a function of time. The costs for 8, 25, and 40 minutes are shown. Write an equation in
PolarNik [594]

Answer:

  • y=0.17x+3
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Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Take two points and substitute them into the formula for calculate the slope (The formula is m=\frac{y_2-y_1}{x_2-x_1}).

Having these points:

(8,4.36) and (40,9.80)

You can identify that:

y_2=4.36\\y_1=9.80\\\\x_2=40\\x_1=8

Then, the slope is:

m=\frac{4.36-9.80}{40-8}=0.17

Substitute the slope and the coordinates of any point on the line into the equation y=mx+b and then solve for "b":

4.36=0.17(8)+b\\\\4.36-1.36=b\\\\b=3

Therefore, equation in Slope-Intercept form that represents the function is:

y=0.17x+3

Since 1 hour hour has 60 minutes, you need to substitute x=60 into the equation and then evaluate, in order to find the cost of surfing the web at the café for one hour. Then:

y=0.17(60)+3\\\\y=13.2

6 0
3 years ago
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