Answer:
642,000,000,000,000,000,000,000 kg
Step-by-step explanation: Basically you are multiplying 6.42 by 100,000,000,000,000,000,000,000. That looks really intimidating but it is very simple. All you have to do is move the decimal 23 hops to the right. Moving it to the right makes the number big, were moving it to the left makes the number smaller. We want a bigger number because we are writing the number in standard notation. Right now it is in scientific notation form (scientific notation is used because it is easier and quicker to write than writing 21 zeros).
Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
Answer:
3.14 inches
Step-by-step explanation:
area of circle = πr²
=> 3.14 x 1 x 1
=> 3.14 inches