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2 years ago

2k . 9k to the power to -6

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

4 0

1/18k^6 so uhhhh ya laalalallaa

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What is the difference between a line segment and a ray and the difference between a line and a line segment?

erastova [34]

A line may be described as a set of points going straight on forever in two opposite directions, and they are straight and never end. A line segment is the set of any two points on a line that are the endpoints. Then a ray is a set of collinear points going in 1 direction with one endpoint. So a line is <-----> and segment is .----. (the periods are endpoints) and .----> To be frank, the differnce between a line segment and a ray is a line segment has two endpoints and stays within those endpoints and a ray has one endpoint and continues continuously in the direction opposite of the endpoint. Then the difference between a line and line segment is that a line is never-ending and and goes in two directions in a straight line, and a line segment has two endpoints and stays within them

5 0

3 years ago

What is the true solution to the equation below?

Marina CMI [18]

Answer:

The solution is:

$x=4$

Step-by-step explanation:

Considering the expression

$lne^{lnx}+lne^{lnx}^{^2}=2ln8$

$\ln \left(e^{\ln \left(x\right)}\right)+\ln \left(e^{\ln \left(x\right)\cdot \:2}\right)=2\ln \left(8\right)$

$\mathrm{Apply\:log\:rule}:\quad \:log_a\left(a^b\right)=b$

$\ln \left(e^{\ln \left(x\right)}\right)=\ln \left(x\right),\:\space\ln \left(e^{\ln \left(x\right)2}\right)=\ln \left(x\right)2$

$\ln \left(x\right)+\ln \left(x\right)\cdot \:2=2\ln \left(8\right)$

$\mathrm{Add\:similar\:elements:}\:\ln \left(x\right)+2\ln \left(x\right)=3\ln \left(x\right)$

$3\ln \left(x\right)=2\ln \left(8\right)$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3\ln \left(x\right)}{3}=\frac{2\ln \left(8\right)}{3}$

$\ln \left(x\right)=\frac{2\ln \left(8\right)}{3}.....A$

Solving the right side of the equation A.

$\frac{2\ln \left(8\right)}{3}$

$\ln \left(8\right):\quad 3\ln \left(2\right)$

Because

$\ln \left(8\right)$

$\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3$

⇒ $\ln \left(2^3\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\ln \left(2^3\right)=3\ln \left(2\right)$

$\frac{2\ln \left(8\right)}{3}=\frac{2\cdot \:3\ln \left(2\right)}{3}$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6$

$=\frac{6\ln \left(2\right)}{3}$

$\mathrm{Divide\:the\:numbers:}\:\frac{6}{3}=2$

$=2\ln \left(2\right)$

So, equation A becomes

$\ln \left(x\right)=2\ln \left(2\right)$

$\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)$

$=\ln \left(2^2\right)$

$=\ln \left(4\right)$

$\ln \left(x\right)=\ln \left(4\right)$

$\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)$

$x=4$

Therefore, the solution is

$x=4$

6 0

2 years ago

Read 2 more answers

What do I supposed to do ?

pentagon [3]

the have identical length so to know the length of each pipe you should divide 22.4 by 7

22.4 / 7 = 3.2

6 0

2 years ago

The figure below is a rectangular prism.

castortr0y [4]

D. AH

Segment AH is parallel to BD and if the lines were drawn out infinitely, the two lines would never meet.

6 0

3 years ago

If you start with Malvin’s age, take half of it, increase that result by 5, then divide by 3, and finally double that, you get 8

Kisachek [45]

Answer:

24 years old

Step-by-step explanation:

Let Malvin's age be x.

x / 2
x / 2 + 5 = 5x / 10 [ By taking the L.C.M.]
( 5x / 10 ) * ( 1 / 3 ) = 5x / 30 [ Multiply with the reciprocal of 3 ]
( 5x / 30 ) * 2 = 5x / 15

Now let's solve the equation,

5x / 15 = 8

5x = 8 * 15

5x = 120

x = 120 / 5

x = 24

Therefore, Malvin is 24 years old.

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3 0

2 years ago