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3 years ago

If 9 to the power of x = 27, what is x. Method as well plz!

Mathematics

2 answers:

Alexandra [31]3 years ago

5 0

You can use logarithms:

Log9(27) which will give you the value of x

X= 1.5

e-lub [12.9K]3 years ago

3 0

$9^x=27\\\\(3^2)^x=3^3\\\\3^{2\cdot x}=3^3\\\\3^{2x}=3^3\iff 2x=3\ \ \ /:2\Rightarrow x=1.5$

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Factor. 10x^5 − 16x^4 + 4x^2

Licemer1 [7]

We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2

GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2

So we divide all terms for 2x^2

Final result: 2x^2(5x^3-8x^2+2)

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3 years ago

Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow

AlekseyPX

For this case we are going to assume the following:
m: whole number greater than zero.
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Where,
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3 years ago

Read 2 more answers

Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.

Rama09 [41]

Answer:

Options C and E

Step-by-step explanation:

Option A. Circle

We can't get a cross section in the form of a circle.

Option B. Cube

We can't get a cross section in the form of a cube.

Option C. Rectangle

When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.

Option D. Square

We can not get a square by slicing a rectangular pyramid.

Option E. Triangle

By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.

Options C and E will be the answer.

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3 years ago

Find the rule for 10 1 12 3 15 6 20 ?

ki77a [65]

Answer:

<h2>See below</h2>

Step-by-step explanation:

For every odd place, the first one, the third one, and so on, the rule to increase each number by 2 then 3 then 5. This is because every even numbered digit, shows how much to increase the other digits by, minus one at the beginning, no change in the middle, and plus one at the end.

I'm always happy to help :)

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3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

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3 years ago