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3 years ago

The students in a science class recorded the change in high temperature for four consecutive days. On days when the

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

Day 3

Step-by-step explanation:

Day 3 Changed by 17 F

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Find the solution to the system 4x - y = -12 and -x - y = 3

rjkz [21]

Answer:

Equation Form : x=-3 y =0

6 0

3 years ago

Read 2 more answers

Fill in the missing numbers<br>I need an answer ASAP<br><br>

mamaluj [8]

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

, $\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60$

$\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6$

Hence, the missing numbers be 60 and 6 respectively

4 0

3 years ago

There are 45 people waiting in line to ride the carousel. If the carousel can hold 40 people, how many people will have to wait

tangare [24]

Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

3 0

3 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

3 years ago

A contractor wants to replace the baseboard of a room whose length is 15 feet and width is 6 feet. How much will the baseboard c

fomenos

It will cost $18.

15*6=90

90/5=18

It will cost $18.

3 0

3 years ago