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2 years ago

The points (-1,r) and (2,1) lie on a line with slope -4 find the missing coordinate

Mathematics

1 answer:

iren2701 [21]2 years ago

4 0

Answer:

(-1,2)

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

I WILL GIVE BRAINLIEST!!!!

-Dominant- [34]

The equation of the line shown is y = 1/3x - 1

Because the slope is rise/run and in this case you rise 1 and run 3. And the y-intercept is -1 because that is where the line crosses the y-axis.

hope this helps :)

8 0

3 years ago

Read 2 more answers

Help Please! I dont get it

KIM [24]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula to calculate the circumference is $\pi d$

d is the diameter (double the radius)

Substitute the values in:

Circumference = (3.14)(3 x 2)

Circumference = 18.84

It would be option D. 18.84 m

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago

Read 2 more answers

NEED ANSWER NOW PLEASE!

Len [333]

For this case, the first thing you should do is the following sum:
income = Annual Salary + benefits
Substituting values we have:
income = (48500) + (2500 + 5000)
income = 56000
Answer:
She can expect a total amount of income with benefits from:income = 56000
(option 4)

7 0

3 years ago

I need help on this question

leva [86]

Answer:

15.7

Step-by-step explanation:

The equation for finding the circumference of a circle is

2 x pi x r(radius). Radius is half the diameter.

5/2=2.5

2 x 3.14 x 2.5

=15.7

7 0

3 years ago