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2 years ago

Solve 11 kx + 13kx = 6 for x.

Mathematics

1 answer:

Kamila [148]2 years ago

3 0

Answer:

x = 1/4 k

Step-by-step explanation:

11kx + 13kx = 6

(11k+13k)x = 6

24kx = 6

x = k/4

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8,508,400 divided by 10 to the sixth power

irga5000 [103]

Your answer for your problem

4 0

2 years ago

What is the answer of this question?

TEA [102]

9514 1404 393

Answer:

970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

(5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

= 125 +3·50√6 +3·120 +48√6

a³ = 485 +198√6

The reciprocal of this is ...

b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

b³ = 485 -198√6

Then the sum is ...

a³ +b³ = (485 +198√6) +(485 -198√6) = 970

6 0

2 years ago

Which of these is the algebraic expression for "5 times the sum of 2 and y?" 052+ y O2 +5. O2(5 + y) O 5(2 + y)

AlekseyPX

Answer:

5(2 + y)

Step-by-step explanation:

The sum of 2 and y is 2 + y and 5 times this sum is

5(2 + y)

8 0

2 years ago

A cork has a mass of 3 grams and a volume of 16 cm3<br> . Calculate the density.

mel-nik [20]

Answer:

0.1875, or 3/16

Step-by-step explanation:

The formula for density is mass/volume.

I hope this helps :)

5 0

2 years ago

Read 2 more answers

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

2 years ago