Answer:
<h2>
After 5 hours</h2>
Step-by-step explanation:
If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;
If y = 35*3x
when y = 550
550 = 35*3x
Dividing both sides by 35;
550/35 = 35*3x/35
3x = 550/35
x = 550/3*35
x = 550/105
x = 5.24
This means that there will be 550 bacteria in the culture after approximately 5 hours
Answer:
(5/2)√13 ≈ 9.0139
Step-by-step explanation:
The longer hypotenuse is found using the Pythagorean theorem as ...
The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.
First distribute 1/2 into (9-2x) which would give you:
4.5-1x= x+1
then you add 1x to each side and you will get:
4.5=2x+1
then you subtract 1 from each side and you will get:
3.5=2x
finally divide 3.5 by 2 and you will get:
x = 1.75
Hope this helps
