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2 years ago

Plsssss help plsssss I didn’t understand pls helpppppp

Mathematics

1 answer:

marusya05 [52]2 years ago

8 0

Disregard the 9x+3y in the pic. The answer is 3/4x-13/12=y

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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

What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

3 0

2 years ago

Whats 69x420?????????

IRISSAK [1]

Answer:

28980

Step-by-step explanation:

Also "nice"

3 0

3 years ago

What is the total surface area of the pyramid??

Dominik [7]

rectangular base= 6*10= 60cm^2

big triangles = 12*5=60, 60*2=120cm^2

small triangles= 12.6*3=37.8, 37.8*2=75.6cm^2

add = 255.6 cm^2

4 0

2 years ago

Subtract: 5 – 3 1⁄3 . A. 2 1⁄3 B. 2 2⁄3 C. 3 1⁄3 D. 1 2⁄3

katovenus [111]

I would say 2 1/3
hope this helps

5 0

3 years ago

Read 2 more answers