Answer:
5:4 is the simplified ratio while the actual ratio is 30:24
Step-by-step explanation:
<h3>
Answer: Choice D</h3>
Explanation:
Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.
Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6
Therefore the vector is
which is in a column vector format. A row vector would have the numbers listed horizontally.
Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.
Answer:
The correct answer is: p - 8 ∧ restriction p ≠ -4
Step-by-step explanation:
(p² - 4 p - 32) / ( p + 4)
The existence of this rational algebraic expression is possible only if it is:
p + 4 ≠ 0 => Restriction is p ≠ -4
(p² - 4 p - 32) / ( p + 4) = (p² - 8 p + 4 p - 32) / (p + 4) =
= (p (p -8) + 4 (p -8)) / (p + 4)= (p - 8) (p + 4) / ( p +4) = p - 8
God with you!!!
Answer:
31415 92653
Step-by-step explanation:
The result of the integral is π. The first 30 digits of π are ...
3.14159 26535 89793 23846 26433 8327 ...
_____
Pi is a transcendental number. Not only is it irrational, but it is not the root of any polynomial with rational real coefficients. It is not a repeating decimal.
Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:

Thus, the portion of yellow crayons is:

This fraction of x crayons is equal to 14, thus:

x = 72
There are 72 crayons in the box