Answer:
Note: this answer is kind of long so jump to picture to see a visual process.
In order to find the simplest radical form of a square root, you need prime factorize the number. In order to do this, you take a number and divide it by different prime numbers until all of its factors are now prime. We will use 24 as our example. 24 divided by 2 (which is prime) is 12. 12 divided by 2, is 6. 6 divided by 2 is 3. Therefor, our prime factorization of 24 is 2^3 * 3, which basically means 8 * 3. Then, take take out pairs of the same number and put on the OUTSIDE of the root. However, make sure that it is NEXT to the square root and not inside the mini hook that the square root makes. This means that that number is multiplying the square root of the number. Now, the only pair in this prime factorization is 2, so take two out of the prime factorization and that leaves us with square root 6 times 2, which is the answer.
Also, when taking out pairs, only take one number from the pair (in this case 2) and put it on the outside. If there is another pair, multiply that number by the other number. So if there was a pair of 3 and a pair of 2, take out 1 three and 1 two and multiply them and put on the outside.
Step-by-step explanation:
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Answer:
(a). 15
(b). 78
Step-by-step explanation:
Growth of the population of a fruit fly is modeled by
N(t) = 
where t = number of days from the beginning of the experiment.
(a). For t = 0 [Initial population]
N(0) = 
= 
= 
= 15
Initial population of the fruit flies were 15.
(b).Population of the fruit fly colony on 11th day.
N(11) = 
= 
= 
= 
= 
= 77.82
≈ 78
On 11th day number of fruit flies colony were 78.
Total earning in the summer = $1440
Step-by-step explanation:
Earning per hour for Samuel = $7.50
No. of hours worked in a day = 6
Earning for a day = Earning per hour for Samuel *No. of hours worked in a day
Earning for a day = $7.50 *6 = $45
___________________________________________________
No of days worked in a week by Samuel = 4
Earning for week = Earning for a day *No of days worked in a week by Samuel
Earning for week = $45*4 = $180
_____________________________________________________
No. of weeks worked in summer = 8
Total earning in the summer = Earning for week *No. of weeks worked in summer
Total earning in the summer = $180*8 = $1440 (Answer)
*NOT MY ANSWER SOMEONE ALREADY ANSWERED THIS***
Formula for the area of a triangle:
( Base X Height ) Divided by 2 or (B×H) ÷ 2
Formula for the area of a circle:
PI times the radius squared or PI × r^2
Area of the triangule part of this figure:
Base: 8ft. Height: 6ft
(8ft × 6ft) ÷ 2
48ft^2 ÷ 2
24ft^2
Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle
Area of the semicricle:
Diameter: 10ft,
Therefore the radius is 5ft
(PI x 5ft^2) ÷ 2
39.2699081699 ft^2
39.27 ft^2
Now add these two areas together:
24ft^2 + 38.27ft^2 = 62.27ft^2
Hope it helps