Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
- r = 100ft .
- t = 3 min = 180s.
Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
- Now the angular speed and linear speed are related as follows ,
=> v = r
=>
= v/r
=>
= 1/100
=>
= 0.01 rad/s
<h3>
<u>Hence </u><u>the</u><u> </u><u>angular</u><u> speed</u><u> </u><u>is </u><u>0</u><u>.</u><u>0</u><u>1</u><u> </u><u>rad/</u><u>s.</u></h3>
8.1x - 4.5y = 5.4.....subtract 8.1x from both sides
-4.5y = -8.1x + 5.4...divide both sides by -4.5
y = (- 8.1/-4.5)x + 5.4 / -4.5...simplify
y = 1.8x - 1.2 <==
Answer:
I cant see the question
Step-by-step explanation:
Answer:

Step-by-step explanation:
For a coin, the probability of head showing in a single toss is
.

Its complement, the probability of not head is

This is a binomial distribution. In
tosses, the probability of having all heads (i.e.
heads) is

Let's call this value
.
For
coins, we determine the probability of at least 1 coin showing all heads by first finding its complement i.e. the probability of no coin showing all heads. This is also a binomial distribution.


