Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
For, m=1
L HS=2×1×(3×1+2)
=2×(5)
=10
It is not divisible by 4.
⇒For Negative Integers
For, m= -1
L HS=2×(-1)×[3×(-1)+2]
=-2×(-3+2)
= (-2)× (-1)
=2
It is not divisible by 4.
False Statement.
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
Answer:
Jeremiah is correct
Step-by-step explanati
because any number divided by 0 is 0 and can be represented on a number line.
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1
36=2y
y=18
Therefore
(x,y)=(8,18)
It takes 147.87 milliliter to make ice cube
<em><u>Solution:</u></em>
Given that ice cube is made of 5 fluid ounces of water
To find: milliliters of water to make to the ice cube
So we have to convert 5 ounce to milliliter
<em><u>Use the following conversion factor</u></em>
1 ounce = 29.5735 milliliter
Therefore,
5 ounce = 5 x 29.5735 milliliter
5 ounce = 147.8675 milliliter
On rounding to nearest hundred ( 2 decimal places ) , we get
5 ounce = 147.87 milliliter
Thus it takes 147.87 milliliter to make ice cube
