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3 years ago

2x+3x+4

Mathematics

2 answers:

ivolga24 [154]3 years ago

7 0

2x+3x+4 is equivalent with 5x+4 and 3(4x+2) is equivalent to 12x+6 and then the last two

AysviL [449]3 years ago

3 0

Answer:

27x9 - 12x6 - 24x3 + 14x2 + 17x + 3

—————————————————

4x3 - 5x2 + 2x + 3

Step-by-step explanation:

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(Scientific Notation LC)

trapecia [35]

0.00067

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

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1 year ago

A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a

UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

$P_{t}=P_{0}+500t$

Where $P_{t}$ = Population after t years

$P_{0}$ = Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = $\frac{5000}{500}$

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = $\frac{15000}{500}$

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = $\frac{35000}{500}$

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

$T_{n}=T_{0}(1+\frac{r}{100})^{t}$

$T_{n}$ = Population after t years

$T_{0}$ = Initial population

t = time in years

For double once,

Population after t years = 10000

$10000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{10000}{5000}$

$(1.05)^{t}=2$

Take log on both the sides

$log(1.05)^{t}=log2$

tlog(1.05) = log2

t = $\frac{log2}{log1.05}$

t = 14.20 years

For double twice,

Population after t years = 20000

$20000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{20000}{5000}$

$(1.05)^{t}=4$

Take log on both the sides

$log(1.05)^{t}=log4$

tlog(1.05) = log4

t = $\frac{log4}{log1.05}$

t = 28.413 years

For double thrice

Population after t years = 40000

$40000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{40000}{5000}$

$(1.05)^{t}=8$

Take log on both the sides

$log(1.05)^{t}=log8$

tlog(1.05) = log8

t = $\frac{log8}{log1.05}$

t = 42.620 years

4 0

3 years ago

a young adults burns 11 calories per minute while joggers which function shows how many calories that person will burn in x minu

Zinaida [17]

Having sex is way better at burning calories, but 11x

6 0

3 years ago

Without building a model, tell whether a long row of cubes or a cube made from 8 cubes would have a greater volume.

bekas [8.4K]

The cube made up of 8 cubes would have a greater amount of volume. We can infer this without doing any math because a row is neither tall or deep to allow for great volume while a cube made up of other cubes is deep allowing for a bigger volume than the row.

6 0

3 years ago

Help meeee failing school. What do I doooo

melomori [17]

Answer:

Here are some tips for dealing with a failing grade, based on my own experience:

Get out of your own head. ...

Consider the time of the class. ...

Find the right professor. ...

Take advantage of the U of A resources available to students. ...

Get better study habits. ...

Reach out

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers