Slope-intercept equation from graph

Sophia and Charlie brought potato salad to the company cookout. Sophia brought 2 quarts and Charlie brought 4 pints. How many TO

yaroslaw [1]

16 cups of potato salad

3 0

4 years ago

Which statements are true about the X intercepts of quadratic functions

Molodets [167]

Answer: There can be more than one zero

An x-intercept is located at the point on the function where the value of x is 0.

theres a lot lol. can you be more specific if these are wrong?

Step-by-step explanation:

8 0

4 years ago

Question 3

mrs_skeptik [129]

Answer:

$960

Step-by-step explanation:

Let the original amount be = x

Percentage increase is equal to = 12.5%

final amount = original amount + increase

final amount = x + 0.125x

final amount = 1.125x

final amount = 1080 = 1.125x

and then solve for x

$x = \frac{1080}{1.125} \\ \\ x = 960$

so in the end x is equal to $960

Solve the equation: 1080 = 1.25x

6 0

3 years ago

The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$