Answer: 62+63+64
Step-by-step explanation:
Divide 189 by 2. That gives you 63. Then go for a number 1 above it and 1 below it.
X=<span><span><span><span>−4/</span>3</span>y</span>+<span><span>−8/</span><span>3
and
</span></span></span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>10/<span>9</span></span></span>
Answer:
The period, in seconds to two decimal places is, 2.84 sec
Step-by-step explanation:
Using formula:
......[1]
where
T represents the Time period in second
l represents the length of the pendulum/
As per the statement:
Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and 
Substitute the given values we have;

⇒
Therefore, the period, in seconds to two decimal places is, 2.84 sec
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
Answer:
Wayne bought 72 blueberries.
Step-by-step explanation:
To combine the fractions, convert all of the fractions to a denominator of 24.
3/8 * 3/3 = 9/24
1/6 * 4/4 = 4/24
5/12 * 2/2 = 10/24
Now add together the fractions
9/24 + 4/24 + 10/24 = 23/24
He used 23/24 of his blueberries, or 69 of them.
To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.
69 / 23 = 3
3 * 24 = 72
Wayne bought 72 blueberries.