Answer:
<u>1/8910720</u>
Step-by-step explanation:
Number of ways they can be chosen :
⇒ 17 × 16 × 15 × 14 × 13 × 12
⇒ 272 × 15 × 14 × 13 × 12
⇒ 4080 × 14 × 13 × 12
⇒ 57120 × 13 × 12
⇒ 742560 × 12
⇒ <u>8910720</u>
Hence, the probability will be :
⇒ P = 1 / number of ways
⇒ P = <u>1/8910720</u>
9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
Your answer would be the last option, (6x² - 5)(x² + 2).
This is because when you expand it, you get:
6x² × x² = 6x⁴
6x² × 2 = 12x²
-5 × x² = -5x²
-5 × 2 = -10
Which are all the correct terms.
I hope this helps!
Answer:
B
Step-by-step explanation:
The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.
The appropriate inequality sign would be less than since he cannot spend more than $25.
Also, the amount he can spend on magazines would be what is left after paying for lunch.
So the correct inequality is 4m - 15 < 25
