Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Answer:
(6x+5)(4x−1)
Step-by-step explanation:
24x² + 14x - 5 Factor the expression
(6x+5)(4x−1) Double check the answer by FOILing
24x² - 6x + 20x - 5 Combine like terms
24x² + 14x - 5 This answer does work
If this answer is correct, please make me Brainliest!
The most accurate and most likely probability is found by having a large, non-biased sample. The answer choice that shows this is D. Determine the ethnicity of 100 men (assumingly selected randomly) from a large city and determine the number who are Caucasian.
This answer choice showcases a large sample group, that was selected randomly from a large city. This would give you varied people to contribute to your study and give you an accurate representation of what the demographics of the city are.
I hope this helps! :)
In the research of Professor Nwamabi the use of air conditioning represents independent variable.
Given 100 participants are randomly selected in a research in which effects of air conditioning on sleep habits is studied.
Dependent variable is the variable whose value is dependent on the other variables like increase in profit and production.
Independent variable is the variable whose value is not dependent on the other variables.
In the research of Professor Nwamabi in which he is examining the effects of air conditioning on sleep habits, use of air conditioning represents independent variable. In this study the effect is on sleep habits means the value of sleep habits will change due to use of air conditioning. It shows that the use of air conditioning is not depending on other variable in the research.
Hence the use of air conditioning represents the independent variable.
Learn more about independent and dependent variables at brainly.com/question/25223322
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Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
