Answer: The opposite of the opposite of a number is the number itself. And the opposite of the opposite of a number is the number itself.
Step-by-step explanation:
Answer:
The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.
Step-by-step explanation:
The equation of the parabola is:
Compute the first order derivative of <em>y</em> as follows:
Now, it is provided that |<em>x </em>| ≤ 605.
⇒ -605 ≤ <em>x</em> ≤ 605
Compute the arc length as follows:
Now, let
Plug in the solved integrals in Arc Length and solve as follows:
Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.
Answer:
84x¹²
Step-by-step explanation:
To simplify this expression, we work from left to right:
4x(-3x⁸)(-7x³)
Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us
-12x⁹(-7x³)
Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²
This gives us
84x¹²
Answer:
15 boys in 3 groups
15 girls in 4 groups
Step-by-step explanation:
60 ÷ 4 = 15
45 ÷ 3 = 15
Have an awesome day! :D
Answer:
Step-by-step explanation:
In probability,
"AND" means "multiplication"
"OR" means "ADDITION"
We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.
Let P(b) be probability of blue pen
Let P(y) be probability of yellow highlighter
We know probability of event is that event divided by total number of that
So,
There are 4 + 2 = 6 pens
Blue pen = 2
Hence,
P(b) = 2/6 = 1/3
And,
There are 5 highlighters
Yellow highlighter = 1
Hence,
P(y) = 1/5
Now,
P(b and y) = 1/3 * 1/5 = 1/15
Hence,
probability of grabbing blue pen and a yellow highlighter is