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Black_prince [1.1K]
3 years ago
6

Is the expression x3•x3•x3 equivalent to x3•3•3

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

So I'll assume that x3 is 3x -->

so 3x • 3x • 3x =? to 3x • 3 • 3?

You can first simplify this to 3^3x =? to 3x • 9 -->

27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.

Check with another number per instance 8

27(8) = 216 => 24(9) = 126

Yes they are equal

Hope this helps!

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Let x have a poisson distribution with a variance of 3. find p(x = 2).
RoseWind [281]
Since the variance of a Poisson distribution with rate parameter \lambda is \lambda^2, we know that \lambda=\sqrt3. So,

\mathbb P(X=2)=\dfrac{e^{-\sqrt3}(\sqrt3)^2}{2!}=\dfrac3{2e^{\sqrt3}}\approx0.2654
7 0
3 years ago
Which equation is true when x=-18
posledela

e^x=18

ex = 18 e x = 18 Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(ex) = ln(18) ln (e x) = ln (18)

4 0
2 years ago
Perform the indicated operation & simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___
slega [8]

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i

6 0
2 years ago
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis
Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are <u>x² + (y – 3)² = 36</u>, and <u>x² + (y + 8)² = 36</u>, making <u>options 1, and 5</u> the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

#SPJ4

The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

  1. x² + (y – 3)² = 36
  2. x² + (y – 5)² = 6
  3. (x – 4)² + y² = 36
  4. (x + 6)² + y² = 144
  5. x² + (y + 8)² = 36."
8 0
2 years ago
Tìm mệnh đề đúng trong các mệnh đề sau:
timurjin [86]

Answer:

What do u mean?

Step-by-step explanation:

3 0
3 years ago
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