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3 years ago

I need help please give 10 points

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Which figures can the composite figure be broken into? A. a square pyramid and a square prism B. a square pyramid and a cube C.

kifflom [539]

Answer:

Step-by-step explanation:

the base dimensons of the bottom portion are not the same therefore it cannot be a cube. so it is c a triangular pyramid and square prism

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3 years ago

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

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

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3 years ago

Darius bakes 18 muffins for his friends. he gives each of his friends an equal number of muffins and has none left over

Aleonysh [2.5K]

Factors of 18

If he has 1 friend, he gives 18 cookies
2 friends, 9 each
3 friends, 6 each
6 friends, 3 each
9 friends, 2 each
18 friends, 1 each

these are the common factors of 18. I don't know whether fractions are applicable here but I hope this helps.

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3 years ago

Solve (200 + 200) √100

mart [117]

Answer:

4000

Step-by-step explanation:

200 + 200 {100

400 × 10

4000

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