Answer:
5⁶⁴ = 152587890625⁴ bacteria's at 7 hours
Step-by-step explanation:
Simple..
it means the bacteria is increasing exponentially.
This is a geometric progression.
at 0 hrs = 0 bacteria
at 1 hr = 5 bacteria
at 2hr = 25 " = 5²
at 3hrs = 25 x 25 = 5² x 5² = 5⁴
at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸
at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶
at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²
at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴
5⁶⁴ = 152587890625⁴
Hi there!
Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.
By doing this, we get the fraction 29/100.
Since there is no simplifying we can do for the fraction this is it's final form!
Your answer would be 0.29 = 29/100.
Answer:
2√11
Step-by-step explanation:
The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:
h² = 6² +8² = 100
The length of x is given by that same theorem:
h² +x² = 12²
x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value
x = √44 . . . . . . . . take the square root
x = 2√11 . . . . . . . simplify the root
8 thousand dollars because if the scholarship is worth 4,000 then double it and the annual tuition would be 8,000
Answer:
.4 is the answer
Step-by-step explanation:
This is a right triangle problem. We have one leg as .5 in length and the other leg as 1.2 in length. The "straight" way to your grandma's house is the hypotenuse. We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water. The hypotenuse is found with Pythagorean's Theorem. It will be filled in and solved as follows:
and c = 1.3
That's the straight distance. You had to go out of your way to the tune of .5+1.2 which is 1.7 miles. You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4
