Ask question

Ask question

All categories

3 years ago

6

Negative 5 and 3/4 multiplied by 8/23

1 answer:

Ira Lisetskai [31]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

You might be interested in

At the Science Museum, there is an exhibition with 150 displays about energy.

tatuchka [14]

<span>1/5

This is a matter of elimination. So let's figure out how many of each display there is. 30% of 150 = 0.30 * 150 = 45 displays about electricity. 2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy 1/10 * 150 = 150/10 = 15 displays about gas. The rest of the displays are about nuclear power. So 150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150 But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30 (30/30)/(150/30) = 1/5 So 1/5 of the displays are about nuclear power.</span>

8 0

3 years ago

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

Can you guys graph a system of equations and make sure it has two parabolas with the same vertex and a line that crosses the sam

Iteru [2.4K]

Answer:

Sketch the following three graphs:

1) y = (x + 3)²

2) y = -(x + 3)²

3) y = x + 3

First two are parabolas with vertex at (-3,0)

Third one is a line which intersects both the parabolas as (-3,0)

6 0

3 years ago

Read 2 more answers

A class of 24 students has 8 students with black hair. What percent of the students have black hair?

vichka [17]

Answer:

33%

Step-by-step explanation:

8/24 = .33333333

3 0

4 years ago

Read 2 more answers

PLEASE IM GONNA CRY MAY GOD BLESS YOU IF YOU WILL ANSWER DONT JOKE

Ostrovityanka [42]

Good day my friendly person, I am sorry to inform you that I will not be able to provide an answer because the picture is simply too blurry.

6 0

2 years ago

Read 2 more answers