At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose that 26% of courses have a res
1 answer:
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Andy will record 6x + 5 bacteria cells, while Samantha will record 2^x + 3 bacteria cells. These will be equal at a time when:
6x + 5 = 2^x + 3
Plotting both of these shows that they are equal when x = 5 and y = 35.
Therefore, the number of bacteria cells will be equal at 35, at t = 5 hours.
6x + 5 = 2^x + 3
Plotting both of these shows that they are equal when x = 5 and y = 35.
Therefore, the number of bacteria cells will be equal at 35, at t = 5 hours.
Answer:
Part 1) or
Part 2) or
Step-by-step explanation:
Write the ratio as a fraction in simplest form
Part 1) 15 girls to 6 boys
we know that
To find out the ratio, divide the number of girls by the number of boys
so
Simplify
Divide by 3 both numerator and denominator
Part 2) 24 plays for 3 teams
we know that
To find out the ratio, divide the number of plays by the number of teams
so
Simplify
Divide by 3 both numerator and denominator
Answer:
A.
Step-by-step explanation:
A. The problems asked for 2 ways to solve it, expanding the equation with the substitution x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.
Expanding and differentiating:
We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:
So, in the path that the hiker chose:
Chain rule:
We start differentiating h(x,y) using chain rule as follows:
Now, it´s easy to find all these derivatives:
Now we replace them in the chain rule, with the replacement x=2cos(t) and y=4sin(t) in the x,y that are left and we operate everything:
This will be our answer