Ask question

Ask question

All categories

2 years ago

14

A line goes through the point (2, 4) and has a slope of 3/2. Which of the following points is also on the line? CHOOSE ALL THAT

APPLY
(1, 1)

(3, 7)

(0, 2)

(4, 7)

(0,1)

(0, 0)

2 answers:

damaskus [11]2 years ago

8 0

Answer:

(4,7) and (0,1)

Step-by-step explanation:

(7-4)/(4-2) = 3/ 2, and (4-1)/(2-0) = 3/2.

liubo4ka [24]2 years ago

5 0

( 0,1) is the answer. you can check this by doing rise over run for (2,4) and (0,1) :)

You might be interested in

How do u do long division

Archy [21]

can you send me the actual problem so that i can solve it

8 0

3 years ago

What does it mean to have a skewed distribution? What causes

IrinaK [193]

Answer:

Explained below.

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and is is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data to is positively skewed.

4 0

3 years ago

The volume of two spheres is shown:

Sliva [168]

Answer: 20.0 inches

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium d

nikitadnepr [17]

Answer:

a) k=2.08 1/hour

b) The exponential growth model can be written as:

$P(t)=Ce^{kt}$

c) 977,435,644 cells

d) 2.033 billions cells per hour.

e) 2.81 hours.

Step-by-step explanation:

We have a model of exponential growth.

We know that the population duplicates every 20 minutes (t=0.33).

The initial population is P(t=0)=58.

The exponential growth model can be written as:

$P(t)=Ce^{kt}$

For t=0, we have:

$P(0)=Ce^0=C=58$

If we use the duplication time, we have:

$P(t+0.33)=2P(t)\\\\58e^{k(t+0.33)}=2\cdot58e^{kt}\\\\e^{0.33k}=2\\\\0.33k=ln(2)\\\\k=ln(2)/0.33=2.08$

Then, we have the model as:

$P(t)=58e^{2.08t}$

The relative growth rate (RGR) is defined, if P is the population and t the time, as:

$RGR=\dfrac{1}{P}\dfrac{dP}{dt}=k$

In this case, the RGR is k=2.08 1/h.

After 8 hours, we will have:

$P(8)=58e^{2.08\cdot8}=58e^{16.64}=58\cdot 16,852,338= 977,435,644$

The rate of growth can be calculated as dP/dt and is:

$dP/dt=58[2.08\cdot e^{2.08t}]=120.64e^2.08t=2.08P(t)$

For t=8, the rate of growth is:

$dP/dt(8)=2.08P(8)=2.08\cdot 977,435,644 = 2,033,066,140$

(2.033 billions cells per hour).

We can calculate when the population will reach 20,000 cells as:

$P(t)=20,000\\\\58e^{2.08t}=20,000\\\\e^{2.08t}=20,000/58\approx344.827\\\\2.08t=ln(344.827)\approx5.843\\\\t=5.843/2.08\approx2.81$

3 0

3 years ago

Freeda estimates that sales in her Bed & Breakfast will grow at 6% compounded annually. If

dexar [7]

Answer: in five years time, the sales would be $100367

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total sales at the end of t years

r represents the growth rate.

n represents the periodic interval at which it was compounded.

P represents the current sales.

t represents the time in years

From the information given,

P = 75000

r = 6% = 6/100 = 0.06

n = 11 because it was compounded once in a year.

t = 5 years

Therefore,

A = 75000(1+0.06/1)^1 × 5

A = 75000(1+0.06)^5

A = 75000(1.06)^5

A = $100367

7 0

3 years ago