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3 years ago

Write the relation as a set of ordered pairs.

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

Is B (-2,-1),(0,0),(2,1)

Step-by-step explanation:

x y

-2 -1

0 0

2 1

I think!!??

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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

Complete the sentence.

melamori03 [73]

Please view my other solution I gave you.

But I will still answer this if you see it.

Because 0.8^x is never 0, then the asymptote is 0-10 or -10.

6 0

3 years ago

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5. What is the solution of |3x-3|_<18?

Mrrafil [7]

Answer : D

WORK...
$|3x-3| \leq 18
$

PART 1:
$3x-3 \leq 18
 add 3 on both sides... 3x \leq 21 divide by 3 on both sides... x \leq 7$

PART 2:
$3x-3 \geq -18 add 3 on both sides... 3x \geq -15
 divide 3 on both sides... x \geq -5$

plug both answers together..
$-5 \leq x \leq 7$

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3 years ago

Louis has $300 to spend on a pair of skis. Sales tax is 8.5%

Marina86 [1]

Answer:They are all Less Than

Step-by-step explanation:

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3 years ago

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15% of Mr.Rileys classes watch the local news. 136 of his students do not watch the local news. How many students are in Mr.Rile

Helga [31]

(100-15)% = 85% = 136 students

136 / (85%) = 130*(100/85) = 160 students

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3 years ago