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.
(-1,1) and (0,0) are probably it
The equation is 2.5x + 2y - 2 = 0.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
He bought 2.5 pounds of apples that are x dollars a pound.
And 2 bags of lettuce for y dollars each.
The total cost is $2.
<h3>To find </h3>
The equation of this.
<h3>How to find the equation?</h3>
He bought 2.5 pounds of apples that are x dollars a pound.
Then the expression is 2.5x
And 2 bags of lettuce for y dollars each.
Then the expression is 2y
The total cost is $2.
Then the expression will be
2.5x + 2y = 2
2.5x + 2y - 2 = 0
Thus the equation is 2.5x + 2y - 2 = 0.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
4.8 megabytes / minute.
Step-by-step explanation:
At the beginning of recording the download you have 24 megabytes.
15 minutes later, you have 96 megabytes.
In 15 minutes you have downloaded 96 - 24 = 72 megabytes
So the question turns out to be a proportion of
x megabytes / 1 minute = 72 megabytes / 15 minutes.
x = 72/15
x = 4.8 megabytes / minute
Step-by-step explanation:
given a normal distribution with the given parameters the probability (= the % of the area of the distribution curve) for a number to be between 203 and 1803 is
0.9987
so, 99.87% of all numbers are expected to be in that range.
for 350,000 numbers that means
350,000×0.9987 = 349,545 numbers are expected to be between 203 and 1803.
