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3 years ago

5

What are all the possible two digit numbers using any of the digits from among 6, 8 and 0? Each digit can appear any number of t

imes.

1 answer:

Kipish [7]3 years ago

6 0

60, 68, 86, 80, 66, 88

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The cost of tuition increases each year by 2.6%.

djyliett [7]

Answer:

I think it is a) exponential

6 0

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

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

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

Shawna won 40 super bouncy balls playing

patriot [66]

Answer:

13 not including Shawna

Step-by-step explanation:

First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.

5 0

2 years ago

Read 2 more answers

Write an expression to represent:One more than the quotient of a number X and 4

astra-53 [7]

Answer:

X/4 +1

Step-by-step explanation:

The word "quotient" tells us that we'll be dividing X and 4.

This can be modeled as X/4

To this quantity, we will be adding 1.

We now get X/4 +1

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3 years ago

What is 1 4/10 + 2 2/10

telo118 [61]

1+2=3. 4/10+2/10=6/10. 3+ 6/10=3 6/10

6 0

3 years ago