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3 years ago

What is the Like Term of 2L 2 and L?

1 answer:

8 0

There is no common term
Between 2l and l its l
Between 2l and 2 its 2
Between 2 and l there are no common terms, so between 2 l and 2l also there are no common terms

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

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

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

6 0

3 years ago

6. Find the possible values of n in the inequality –3n < 81. A. n > –27 B. n < 27 C. n = –27 D. n = 27

evablogger [386]

-3n < 81...divide both sides by -3, change the inequality sign
n > -81/3
n > - 27 <==

** in an inequality, when dividing/multiplying by a negative number, the inequality sign changes

6 0

3 years ago

Will the solution (-3,-7) make the following system of equations a true statement.

Gre4nikov [31]

Answer:

Yes

Step-by-step explanation:

If you mean the equation

y = 4x + 5

y = x - 4

then yes

6 0

3 years ago

Subtract express your answer in simplest form 5/8-3/8=?

olchik [2.2K]

The answer is 2/8. Hope this helps.

6 0

4 years ago

Read 2 more answers

Pls answer the questions (all)

bearhunter [10]

Answer:

1;no

2; i don^t know

3;c

4;12

5:20

Step-by-step explanation:

reasons

1:sum of all side of triangle is 180 degree(here is 220)

3: try in copy and u will able to solve

4:first of all make 9 cm as shown in figure and draw 15 . finally measure the remaining side.

5: 3y+5y+y=180

9y=180

hence,y=20

4 0

3 years ago