How many cups are there in 6.25*10^22 nL? Hint: nL is the abbreviation for nanoliter.

Answers

Answer 1

Answer: A nano is essentially one-billionth or 1/1,000,000,000.
Since writing all these zeroes is inefficient and can easily lead into errors, we'll just use scientific notation instead.
A nanoliter is $10^(-9)$ liters.

So we have $6.25 * 10^(22) * 10^(-9) = 6.25* 10^(13)$ liters.

A liter is 4.22675 cups. So now we can multiply 4.22675 by 6.25 * 10^13.
Use a calculator... you get 26.4171875 * 10^13.

*Note: There may be slight precision errors. This is inevitable when you're working with very large numbers, as the smallest initial change can spiral into much larger differences.

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Solving linear equation 7-x=19

Answers

x is equal to -12
7-(-12)=19

Answer:

x = -12

Step-by-step explanation:

To solve an equation, you want to "undo" what has been done to the variable. Here, it has been multiplied by -1 and that result added to 7. In general, you want to "undo" these operations in reverse order.

First, you need to subtract 7 to undo the addition of 7. Of course, anything you do to one side of the equation is also done to the other side:

7 -x -7 = 19 -7

-x = 12 . . . . . . . . simplify

Now, you want to undo the multiplication by -1. Multiplication (or division) by -1 will take care of that:

(-1)(-x) = (-1)(12)

x = -12 . . . . . . . . simplify

The solution is x = -12.

this cylindrical fish tank has a height of 36 inches and a a diameter of 30 inches what is the volume of the fish tank

Answers

First, you'll need to find the area of the base of the cylinder. Since the fish tank is a cylinder, its base is a circle, and you'll use $\pi$ *r^2.

r=(1/2)d = (1/2)30 = 15 inches
$\pi$ *15^2 = $\pi$ *225 (We'll worry about multiplying by pi later; for now, this is good enough).

Then, to find the volume, you just multiply by the height of the fish tank.
$\pi$ *225*36 = $\pi$ *8100 = 25446.9005

The answer, then, is 25446.9005 cubic inches (or just 8100 $\pi$ cubic inches)

Solve the quadratic function by completing the square -32 = 2(x+ + 10x)
-32 +
= 2(x+ + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
= x + 5
+
x= -2 orx =