Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.
4^(1/7) would become ⁷√4 .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.
4^(7/2) would become √(4⁷) ... the 7th power goes with the number under your radical and the "2" becomes a square root
7^(1/4) would become ⁴√7 ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7
7^(1/2) would become, simply, √7
D. Expenses for a birthday party are not a fixed expense.
By definition, a fixes expense is a bill or something that won't change in the amount of payment. A car payment will always be the same each month; the mortgage will always be the same and car insurance will always be the same each month.
The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
- A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
- how long will it take the boat to travel 36 miles downstream and 36 miles upstream?
The time taken by the boat upstream will be calculated as:-
( B + W ) Td = D
( 12 + 3 ) Td = 32
( 15 ) Td = 32
Td = 32 / 15 = 2.1 hours
The time taken by the boat downstream will be calculated as:-
( B - W ) Tu = D
( 12 - 3 ) Tu = 32
9 Tu = 32
Tu = 32 / 9 = 3.56 hours.
Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.
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Answer:
Step-by-step explanation:
Hello There!
First thing we want to do is find the formula for circumference of a circle
C = 2(3.14)r
where r = radius
we are given the diameter so we have to convert that into radius to do so we just divide by 2
42/2=21 so the radius equals 21 inches
now we just plug in 21 for r in the formula
So we can conclude that the circumference of the circle is 131.88 inches
Answer:
Two line are perpendicular when they are at right angles to each other.
The red line is perpendicular to the blue line in each of these examples:
Perpendicular Example
Step-by-step ex;planation:
