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3 years ago

8

On an architects plan for a house, the scale reads 1/2 in. = 5 ft. How long is the actual length of a room that's 2 in. Long on

the drawing?

1 answer:

Nady [450]3 years ago

6 0

1/2:5

1:10

2:20

The actual length of the room is 20 feet.

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the scale on a map shows that 5 centimeters equals 2 kilometers what numbers of the centimeters on the map represents the actual

jek_recluse [69]

2 cm would represent .8 of a kilometer

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3 years ago

Consider the equation -5\cdot e^{10t}=-30−5⋅e

yulyashka [42]

The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

<h3>What is Exponential equation?</h3>

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, given equation; (we are using n in place of t)

-5.e¹⁰ⁿ = -30

On dividing -5 both sides, we get

-5.e¹⁰ⁿ/-5 = -30/-5

e¹⁰ⁿ = 6

Taking 'ln' on both side, we get

10n = ln 6

n = (ln 6)/10

n = 1.791759/10

n = 0.179

Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

Learn more about exponential function from:

brainly.com/question/14355665

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3 years ago

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3 years ago

Read 2 more answers

A biologist observed that a certain bacterial colony obeys the population growth law and that the colony triples every 4 hours.

MrRa [10]

Answer:

a) $P(t) = 2e^{0.275t}$

b) 54.225 square centimeters.

c) 2.52 hours

Step-by-step explanation:

The population growth law is:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t hours, $P_{0}$ is the initial population and r is the growth rate, as a decimal.

In this problem, we have that:

The colony occupied 2 square centimeters initially, so $P_{0} = 2$

The colony triples every 4 hours. So

$P(4) = 3P_{0} = 6$

(a) An expression for the size P(t) of the colony at any time t.

We have to find the value of r. We can do this by using the P(4) equation.

$P(t) = P_{0}e^{rt}$

$6 = 2e^{4r}$

$e^{4r} = 3$

Applying ln to both sides, we get:

$4r = 1.1$

$r = 0.275$

So

$P(t) = 2e^{0.275t}$

(b) The area occupied by the colony after 12 hours.

$P(t) = 2e^{0.275t}$

$P(12) = 2e^{0.275*12}$

$P(12) = 54.225$

(c) The doubling time for the colony?

t when $P(t) = 2P_{0} = 2*2 = 4$ .

$P(t) = 2e^{0.275t}$

$4 = 2e^{0.275t}$

$e^{0.275t} = 2$

Applying ln to both sides

$0.275t = 0.6931$

$t = 2.52$

4 0

3 years ago

Write the equation of a line in slope-intercept form if m=-3 and b=7. help please.

pychu [463]

Slope-intercept form is y = mx + b. all you have to do for this question is plug your given information in:

m = -3
b = 7

y = mx + b
y = -3x + 7

3 0

3 years ago