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Flauer [41]
2 years ago
8

What is the slope of a line perpendicular to the line y= - 2/3x + 1

Mathematics
1 answer:
sesenic [268]2 years ago
7 0
3/2 since perpendicular lines have opposite reciprocal slopes
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A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.
dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

#SPJ1

4 0
1 year ago
Find the volume of the composite solid figure<br>(picture provided of the shape)​
LiRa [457]

Answer:

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a mirror

Road shimmer

Wiggling the vision

Heat heat waves

I'm swimming in a

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Sometimes, all I think about is you

Late nights in the middle of June

Heat waves been faking me out

Can't make you happier now

Usually I put

Something on TV

So we never think

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But today I see

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Clearly in Hollywood

Laying on the screen

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You need something I can never give

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It's gone now the night has come but

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8 0
3 years ago
If a square has side lenght 3m, than its perimeter is 12m.
Luda [366]
Fu you ahole hhhhhhhhhhhhhhhhhhhhhhhhhh
7 0
3 years ago
Nolan and emily are both selling cookie dough for a fundraiser. Although Nolan has already sold four tubes emily hasn't sold any
just olya [345]

Answer:

it will take 65 days. 130 tubes of cookie dough.

Step-by-step explanation:

3 0
3 years ago
Jack use the place value chart below to show 1,826.5. Jack divided 1,826.5 by a number to get a quotient of 18.265 which he wrot
Annette [7]

Answer:

<h3>100</h3>

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

3 0
3 years ago
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