Ask question

Ask question

All categories

3 years ago

14

Graph with points plotted at (negative 4, negative 3), (negative 1, negative 2), (negative 2, 0), (2, 2). Find the range of the

relation. {–4, –2, –1, 0, –2} {–4, 4} {–4, –2, –1, 2} {–3, –2, 0, 2}

1 answer:

Firdavs [7]3 years ago

6 0

I know the first part but not the second part. Look at the image below.

You might be interested in

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

I’ll award you brainliest if you answer This question

guajiro [1.7K]

Answer:

$2353 at 12.5% and $7647 at 8.25%

Step-by-step explanation:

I'll say a is the amount he invested in one market, and b is the amount in the other.

a + b = 10000, or b = 10000 - a

multiplying the investments with the percentages and adding them together will give the total earned interest.

(a × 0.125) + (b × 0.0825) = 925

0.125a + 0.0825b = 925

Use substitution to solve for a.

0.125a + 0.0825(10000 - a) = 925

0.125 a + 825 - 0.0825a = 925

0.0425a = 100

a = 2352.94

Use substitution to find b

b = 10000 - 2352.94

b = 7647.06

The questions are to the nearest dollar so round a and b.

$2353 and $7647

6 0

3 years ago

How many grams are in 15 kilograms? 1.5 150 1,500 15,000

diamong [38]

15000 because 15kg x 1000 = 15000g

8 0

2 years ago

Read 2 more answers

According to the graph of H(w) below, what happens when w gets very large?

GREYUIT [131]

Answer:

B. H(w) gets very small.

Step-by-step explanation:

This should be the answer you're looking for

4 0

2 years ago

What is the slope of the line (2,3) (1,-2)?

jarptica [38.1K]

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Given the points (2,3) and (1,-2), you can identify that:

$y_2=-2\\y_1=3\\x_2=1\\x_1=2$

Now, the final step is to substitute these values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ , getting that the slope of this line is:

$m=\frac{-2-3}{1-2}$

$m=\frac{-5}{-1}\\\\m=5$

8 0

3 years ago

Read 2 more answers