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2 years ago

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A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

he bacteria is growing at a rate of 4 grams per hour after 3 hours. Write down the differential equation the mass of the bacteria, m, satisfies:

1 answer:

arsen [322]2 years ago

4 0

Answer:

See attachment below

Step-by-step explanation:

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PLEASE HELP! I know the top part I just need the bottom!

Zolol [24]

slope = (y2-y1)/(x2-x1)

= (70-52)/(8-1)

= 18/7

=2.6

point slope form

y-y1 = m(x-x1)

y-52 = 2.6(x-1)

distribute

y-52 = 2.6x-2.6

add 52 to each side

y = 2.6x+49.4

y = 2.6x +49

the initial temperature is 49.4 or about 49

and it increases about 2.6 degrees each week

7 0

3 years ago

The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.

aliya0001 [1]

Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

5 0

2 years ago

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

3 years ago

Read 2 more answers

If three points of a parallelogram are A (-5, -2), B (1,5), C (7.1). Which of the

11111nata11111 [884]

(1,-6) is the answer

5 0

2 years ago

To use distributive property solve equation 2(a+3)=-12

WARRIOR [948]

Answer: a= -18/2

Step-by-step explanation:

2a + 2x3 = -12

2a + 6 = -12

2a + 6 - 6 = -12 - 6 ( subtract 6 from both sides)

2a = -18 (Divide 2 by both sides)

a= -18/2

4 0

3 years ago