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2 years ago

90:120 ratio in the simplest form,

Mathematics

2 answers:

Alchen [17]2 years ago

4 0

Answer:

Step-by-step explanation:

90 : 120

3: 4 is the simplest form

Inessa [10]2 years ago

3 0

Step-by-step explanation:

90:120

9:12

3:4

Topic: ratio n proportions

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If you know a car travels 30 km in 20 minutes you can find its

Daniel [21]

Answer:

You can find its average speed.

Step-by-step explanation:

To find average speed you can divide distance by time which has been given.

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3 years ago

Is 1:2:3 equivalent to 2:4:6

Finger [1]

Answer:

Yes it is.

Step-by-step explanation:

Just multiply everything by 2.

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2 years ago

What percent is the change in the price if: a The price was $100 and now it is $1250?

KatRina [158]

Answer:

The increase is 1150.

11.5 times the original value, or 1150% of it. That's a big increase, and I would not buy that thing, whatever it is.

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3 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

What is the standard deviation of the following data set?

tia_tia [17]

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

$SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}$

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = $\sqrt{\frac{820}{4}} \approx 14.31782...$

4 0

3 years ago