Answer:
A. x^27/10
B. 1/x^-27/10
Step-by-step explanation:
Mathematically, if we have the same base, we simply add up the index
Thus, we have that;
x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10
A) In the first form, we have that;
x^27/10
a = 27/10
B) We simply negate what we have above in terms of the index according to the indices law below;
a^b = 1/a^-b
Hence, we have that;
1/x^-27/10
Sin(a + b) = sin a .cos b + cos a . sin b
Answer:
The number of carpets cleaned by new company per week is 249
Step-by-step explanation:
Let us assume :
The number of carpets cleaned by old company in 1 week = m
So, the number of carpets cleaned by new company in 1 week
= 3 x ( Number of carpets cleaned by old company)
= 3 (m) = 3 m
Total carpet cleaned altogether in a week = 332
So, Total Carpets cleaned by both companies in 1 week
= Number of carpets cleaned by ( Old + New) company in 1 week.
= m + 3 m = 4 m
⇒ 4 m = 332
or, m = 332 / 4 = 83 , or m = 83
Hence number of carpets cleaned by old company per week = m = 83
The number of carpets cleaned by new company per week
= 3 m = 3 x 83= 249
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
Answer:
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