All categories

3 years ago

I also have another question:

Mathematics

1 answer:

sergey [27]3 years ago

6 0

(67.68 * 10^11) / (18 * 10^4) =
(67.68/18) * (10^11 / 10^4) =
3.76 * 10^7 =
37,600,000 <===

You might be interested in

12/18 reduced to the lowest term

melomori [17]

2/3 is it's simplified form

8 0

2 years ago

What would be the answer to this problem <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7x-3%7D%7B9%7D%20%5Cgeq%208-2x" id="TexForm

Alenkasestr [34]

Answer:

$x\geq 3$

Step-by-step explanation:

6 0

2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

The perimeter of one face of a cube is 16cm. Calculate the volume of the cube.

erastova [34]

Answer:

Step-by-step explanation:

Perimeter equation: Length + Width * 2

so divide 2 by 16

which gives you 8 and minus that by its half so you get 4

4 0

2 years ago

Find the value of 5x-6 given that 2x-7=9

erik [133]

Answer:

Step-by-step explanation:

Given that

2x - 7 = 9 ← solve for x

Add 7 to both sides

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into 5x - 6

5x - 6 = (5 × 8) - 6 = 40 - 6 = 34

4 0

2 years ago