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4 years ago

What is the distance between -3 and 2 on the number line

Mathematics

2 answers:

blsea [12.9K]4 years ago

4 0

Answer:

D. 5

Step-by-step explanation:

Genrish500 [490]4 years ago

3 0

Answer:

5 units

Step-by-step explanation:

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Find the value of y for a given value of x, if y varies directly with x. If y = 2.52 when x = 8.4, what is y when x = 2.7? (1 p

Levart [38]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $(y/x)=k\ or\ y=kx$

in this problem we have

$y = 2.52\ when\ x = 8.4$

<u>Find the value of the constant k</u>

$(y/x)=k$

substitute

$k=(2.52/8.4)$

$k=0.3$

the equation is equal to

$y=0.3x$

<u>Find the value of y when $x=2.7$ </u>

substitute the value of x in the equation

$y=0.3*2.7$

$y=0.81$

therefore

<u>the answer is</u>

$0.81$

5 0

4 years ago

Read 2 more answers

In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen

Mashcka [7]

Answer:

a) P' = P

$P(t) = 24e^{0.693t}$ where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

$\frac{dP}{dt} = P$

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

$P(t) = P_0e^{kt}$

where $P_0 = 24$ is the initial population

After 6 month (t = 1), the population is doubled to 48

$P(1) = 24e^k = 48$

$e^k = 2$

$k = ln(2) = 0.693$

Therefore $P(t) = 24e^{0.693t}$

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

$24e^{0.693t} = 1000000$

$e^{0.693t} = 1000000 / 24 = 41667$

$0.693t = ln(41667) = 10.64$

$t = 10.64 / 0.693 = 15.35$

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. $P' = P_0ke^{kt}$

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

$24e^{0.5k) = 48$

$0.5k = ln2 = 0.693$

$k = 1.386$

Therefore, $P' = 1.386*24e^{1.386t}$

At the mid of the 3rd year, where t = 2.5, we can calculate P'

$P' = 1.386*24e^{1.386*2.5} = 1064.67$ rabbits/year

4 0

3 years ago

PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY

faust18 [17]

Answer:

Step-by-step explanation:

5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.

You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.

Use the coordinates of the points to determine the slope of the line.

slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3

The slope-intercept equation of the line is y = 3x+1

:::::

7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.

7 0

3 years ago

Vector has x, y, and z components of 4.00, 4.00, and 1.00 units, respectively. calculate the magnitude of .

Molodets [167]

Magnitude = sqrt (4^2 + 4^2 + 1^2) = sqrt 33 Answer

5 0

4 years ago

If a rope is 36 feet long and cut into 8 sections what is the length in feet of each section

tigry1 [53]

Answer:

The length of feet in each section is 4 4/8 which is then reduced to 4 1/2

Step-by-step explanation:

In order to get the answer, you will divided 36 by 8. When you divide, you then get 4 4/8 which is then reduced to 4 1/2. Hope this helps! :)

<h2>CloutAnswers</h2>

3 0

3 years ago

Read 2 more answers