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emmainna [20.7K]

3 years ago

12

A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question:

1 answer:

kirill115 [55]3 years ago

5 0

B quadrant ll or quadrant lll

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Click the picture that I sent you

Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

$.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}$

5 0

3 years ago

find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet p

Studentka2010 [4]

Answer:

x -2y = -4

Step-by-step explanation:

The slope of the line between points C and D is ...

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

m = (7 -13)/(5 -2) = -6/3 = -2

The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

y -1 = 1/2(x -(-2))

We can rearrange this to standard form.

2y -2 = x +2 . . . . . multiply by 2

-4 = x -2y . . . . . . . subtract 2y+2

x -2y = -4 . . . . . . standard form equation of the desired line

5 0

2 years ago

Henry's patio is in the shape of a rectangle. He drew the given model of his patio. He said the perimeter of the patio is 48 fee

Artemon [7]

Answer:

The lengths of all sides of the patio are 15, 15, 9, 9.

Pls thank if this helped!! :)

8 0

3 years ago

I need help on number 36

Ahat [919]

What do you need help with? it helps us to know the question!

8 0

3 years ago

4×(2.1+3.9)-7)+6×(6.2-4.2)=

Helen [10]

I am pretty sure it is 29 because i did the math and that is what it comes out to

8 0

3 years ago