Answer:
326.666miles
Step-by-step explanation:
v=distance/time (v=d/t)
d=140 miles
t=3hrs
v=d/t, v=140/3, v= 46.666mph
v=46.666mph
t=7hrs
d=?
v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles
Answer:
See below.
Step-by-step explanation:
Composition of the functions is sometimes commutative.
Under certain circumstances, they can be the same. However, most of the time, they are not commutative.
For instance, if we have f(x)=x^2 and g(x)=x^3, then:
Most of the time, however, this won't work.
Edit: Added an example.
Answer:
- 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
g(x) = x² - 10x + (- 5)² - (- 5)² + 16
= x² - 10x + 25 - 25 + 16
= (x - 5)² - 9 ← in vertex form
vertex = (5, - 9), hence
minimum value = - 9
The answer is that it's a right triangle. One angle is 90°
Probability = (number of ways to succeed) / (total possible outcomes) .
The total possible results of rolling two dice is
(6 on the first cube) x (6 on the second one) = 36 possibilities.
How many are successful ? I need you to clarify something first.
You said that the 'second die' shows an odd number. When a pair
of dice is rolled, the problem usually doesn't distinguish between them.
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.
Oh well, I'll just work it both ways:
First way:
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.
How can that happen ?
1 ... 4
4 ... 1
3 ... 2
2 ... 3
Four possibilities. Probability = 4/36 = 1/9 = 11.1% .
=======================================
Second way:
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.
How can that happen:
B ... W
4 .... 1
2 .... 3
Only two possibilities. Probability = 2/36 = 1/18 = 5.6% .
