Can someone help me and show me how you did it thanks!

Mathematics

1 answer:

34kurt4 years ago

5 0

Multiply r and s and the answer

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A population of amoebas in a petri dish will triple in size every 20 minutes. at the start of experiment the population is 800.

sp2606 [1]

If we are to derive the equation that models the growth of the amoeba, we make use of the general form:
p = po k^t
where po is the initial population
k is the multiplicative rate of change

From the problem
3po = po k^(20)
k = 1.06

The equation is
p = 800 (1.06)^t

4 0

4 years ago

T is directly proportional to M.

zaharov [31]

By proportionality, for any number $a$ , if T is multiplied by $a$ then the same goes for M.

a) M has been multiplied by $\dfrac{3}4$ hence $T=20\cdot\dfrac{3}4=5\cdot3=15$

$\boxed{T=15}$

b) T has been divided by $2$ hence $M=\dfrac{4}2$

$\boxed{M=2}$

6 0

4 years ago

Read 2 more answers

Find f(g(x)) and g(f(x)) of f(x)=x^2-8, g(x)=2x-5

Zina [86]

$f(x)=x^2-8\\\\g(x)=2x-5\\\\f(g(x))\to\text{instead of x write the equation of the function g(x)}\\\\f(g(x))=(2x-5)^2-8=(2x)^2-2(2x)(5)+5^2-8\\\\=4x^2-20x+25-8=4x^2-20x+17\\\\\text{used}\ (a-b)^2=a^2-2ab+b^2$