The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.
To get down safely without breaking the rope, a criminal who wants to escape from the third storey window of a jail, by going down a rope to the road below and has a mass of 75 kg while the rope can only support 65 kg without breaking can use the following method :Step-by-step explanation:
Calculate the acceleration produced by the criminal and find the maximum tension the rope can withstand.
According to Newton's second law, F = ma .Frictional force (f) acts upward and it opposes the weight of the criminal. Therefore, F = mg - f. If the criminal is accelerating downwards at a constant rate, a, the tension in the rope (T) is given by T = m(g - a).
If a is positive, then the tension in the rope is greater than mg and the rope breaks.
If a is negative, then the tension in the rope is less than mg and the rope is safe.
Let's assume that the tension in the rope is just equal to the breaking point.
Then:65*9.81 = 75* a + 65 *9.81a = 6.74 m/s^2
The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.
This means that he should create additional friction by wrapping the rope around his legs, to increase the force of friction acting upwards. By doing this, he will decrease the net force acting downwards and thus reduce his acceleration.
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hellpp the question is when you combine the like terms the numbers are in the picture so true or false answer asap pls
Answer:
False
Step-by-step explanation:
x+10 -2x-20
Combine like terms
x-2x = -x
10-20 = -10
-x-10
This is not equal to x-10
Can someone help me please I have no idea what to do
Answer:
1) b
2) a
3) c
Step-by-step explanation:
By plugging in the values of x and y in each answer choice to both equation, each equation will solve to be true with the answers above.
what is the answer to 7(8a + 7)
What is 6 3/4 of 7,600.00
Answer:
Step-by-step explanation:
6 3/4 = 27/4
7600 * 27/4 = 205200/4
51300
The lowest elevation in Long Beach, California, is 7 feet below sea level. The elevation of Death Valley is about 40 times lower than the elevation of Long Beach. What is the approximate elevation of Death Valley?
Answer:
-280
Step-by-step explanation:
The larger of two numbers is 7 more than 5 times the other. Their sum is 55. Find the two numbers.
Answer:
Step-by-step explanation:
8 and 47
a climber starts descending from 540 feet above the sea level and keeps going until she reaches 20 feet below sea level.How many feet did she descend?
Answer: -520
Step-by-step explanation: rather than 540-20 you'll do 20-540 and get -520 plus it's below sea level, so you know it's a negative
An employee put $10.000 in a retirement
account that offers 4%, interest
Compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
Answer:
Interest earned after 12 years is $48,000.
Step-by-step explanation:
The first step is to find 4% of 10,000
10,000 times .4 equals to 4,000
4% of 10,000 is 4,000
So each year, $4,000 is added
Times $4,000 by 12 years and you will have the total interest earned.
In case you need to know, the total amount of the bank account should be $58,000.
I hope this helps! :)
Combine like terms.
4x-8y-2x+5y+x
Answer:
3x - 3y
Step-by-step explanation:
Step 1: Write expression
4x - 8y - 2x + 5y + x
Step 2: Combine like terms (x)
4x - 2x + x = 3x
3x - 8y + 5y
Step 3: Combine like terms (y)
-8y + 5y = -3y
3x - 3y
Pete is an investor and he is analyzing the balance sheets of Casper Inc. and JSL Inc. Casper shows goodwill worth $1.5 million and JSL Inc.'s
goodwill is worth $50,000. Which organization is Pete likely to invest in based on this data?
A Casper Inc., as the company has a better reputation
B. JSL Inc., as the company has a better reputation compared to Casper
C. Casper Inc., as its total assets will be higher than SL
D
JSL Inc., as its total assets will be higher than Casper
Answer:
A.
Step-by-step explanation:
I tried C. and it didn't work, and I doubt it could be either B. or D. so my best guess is A.
I hope I'm right 8)
The total assets of Casper Inc 1.5 million is higher than SL $50,000 thus option (C) is correct,
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given,
Casper shows goodwill worth $1.5 million and JSL Inc.'s
goodwill is worth $50,000.
Since, $1 million = $1000000
Thus, $1.5 million = $1500000
Therefore, $1500000 > $50,000
Hence "The total assets of Casper Inc 1.5 million is higher than SL $50,000".
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10^a x 10^b can someone help? I have to simplify
Answer:10^a+b hope this helps []~(￣▽￣)~*
Step-by-step explanation:
A line has this equation: y = 7/10 X + 5 Write an equation for the parallel line that goes through (10,7).
See attachment for math work and answer.
Sally finished 3/4 of the marathon she ran in 9 hours. How long was the Marathon
Answer:o.75 you need to divide
Step-by-step explanation:
I need help with this question, I don’t even know what it wants
adrian can walk 3 miles in 9 minutes x, need this solved asap
Answer:
Wow, thats fast! He walkes a mile every 3 minutes.
Step-by-step explanation:
Rewrite the equation by completing the square.
4x^2-4x+1=0
Answer:
[tex]4x^{2} -4x+1=0\\4x^{2} -2x-2x+1 =0\\2x(2x-1)-1(2x-1)=0\\(2x-1)^{2} = 0\\\\x = \frac{1}{2} or\\x= -\frac{1}{2}[/tex]
The midpoint of AB
is M(4, -1)M(4,−1). If the coordinates of AA are (2, 5)(2,5), what are the coordinates of BB?
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. Measures 80 Meters by 120meters. If Laura wants to know how much Meters she jogged in all, which measurement should she find?
Answer:200
Step-by-step explanation: length plus hight
mko
One number is three times another number. If their sum is 52, what are the numbers?
Answer:
13*3+13=52
Step-by-step explanation:
13*3=39
39+13=52
The unknown number will be equal to 13.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that one number is three times another number and their sum is 52. The number will be calculated as,
3n + n = 52
4n = 52
n = 52 / 4
n = 13
Hence, the unknown number is 13.
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If you have 6 donuts and they cost 2.70 what is the cost for one donut
Answer:
0.45Step-by-step explanation:
2.70
6 donuts
= 0.45 each donut
Answer:
45￠ per doughnut
Step-by-step explanation:
You would simply divide
2.70 ÷ 6 = 45
What is 5x-17+3x-11=180
Answer:
26
Step-by-step explanation:
5x-17+3x-11=180
8x - 28 = 180
8x = 208
x =26
The scale on a map of Pennsylvania is 1/2 inch = 10 miles. The distance from Allentown to Harrisburg is about 75 miles. How far apart are the cities on the map?
Answer: 3 1/2 inches apart
Step-by-step explanation:
If j(x)=3x+1, find x if j(x)=-11
Answer:
x = -4
Step-by-step explanation:
Step 1: Define
j(x) = 3x + 1
j(x) = -11
Step 2: Substitute and solve for x
-11 = 3x + 1
-12 = 3x
x = -4
During a marathon race an athlete loses 2 % of his mass.
At the end of the race his mass is 67.13 kg.
Calculate his mass before the race.
Answer:
his mass before the race was 68.5kg
Step-by-step explanation:
let,his mass before the race was 'x'
By question,
x-2% of x =67.13
or,x- 2x/100=67.13
or, 98x/100=67.13
or,98x=67.13×100
or,98x=6713
or,x=6713÷98
or,x=68.5
thus,his mass before the race was 68.5 kg
What is the area of a square with side length 3.25cm?
Answer:
10.5625
Step-by-step explanation:
Answer:
10.5625
Step-by-step explanation:
Area = sidelength^2
Area = 3.25^2
Area = 10.5625cm^2
Can someone help me with this :(
Answer:
width is xlength is 4xarea is 4x^2a foot is 12 inches. a yard is 3 feet. what fraction of a yard is 8 inches
Answer:
8/36
Step-by-step explanation:
12 inches =1 foot
1 yard=3 feet
3feet=36 inches
Answer:
2/9
Step-by-step explanation:
plzz help what is the graphs equation!?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The rise over run is up 2 right 3 so the slope is 2/3 and yu can see that the y-intercept is 4. So the answer is Choice D.
What is the answer to this eqaution 20 ÷ 15/16
Answer:
21 1/3
Step-by-step explanation:
20 ÷ 15/16=
20/1 ÷ 15/16=
20/1*16/15=
4/1*16/3=
64/3=
21 1/3
Simplify the following:
(4x2+ 7x + 8) - (-3x3 + 5x + 2)
What did you do to get this answer
Answer:
beuwhwvd
Step-by-step explanation:
