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2 years ago

A map has the scale of 1:50000

Mathematics

1 answer:

goldenfox [79]2 years ago

5 0

Answer:

500,000km

Step-by-step explanation:

Scale: 1cm:50000km

10 cm = 50000*10km

10 cm = 500000km

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2 tables. Table 1 is titled Population data with entries 2, 4, 8, 5, 1, 1, 10, 5, 4, 2, 3, 3. Table 2 is titled Sample data with

alekssr [168]

Answer: //The mean of the population is 4

//The mean of the population is 3.25

//The difference between the mean of the sample and the mean of the population is 0.75

Step-by-step explanation: EGDEUNITY

7 0

3 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

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

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

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

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

3 years ago

A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.

irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

5 0

2 years ago

What is the equation of the line, in slope-intercept form, that passes through the point (6,−1) and is perpendicular to the line

finlep [7]

did you mean to put. y= -1/2x+2 for choice b? because that's what I got as a solution

6 0

3 years ago

What's the greatest common factors of 55 and 77?

evablogger [386]

The factors of 55 are 1, 5, 11, and 55 .

The factors of 77 are 1, 7, 11, and 77 .

The factors that are common to both numbers are 1 and 11 .

The greatest one is <em>11</em> .

You asked for the "greatest", so you only get one of them. If there were
more than one greatest, then you'd want to know which greatest was
greater than the other greatest.

6 0

3 years ago