Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
Answer:
y = 4
Step-by-step explanation:
I assume you want to find the slope-intercept form of the given information.
We are given the slope and a point, so we can find the y-intercept.
y = 0x + b
4 = 0(-2) + b
4 = 0 + b
4 = b
Put everything we know/solved for back into the formula [ y = mx + b ]
y = 4
Best of Luck!
Answer:
4
Step-by-step explanation:
<span>The proportion of clay uses is 3/8 (Three Eighths). That is 3 lbs. of clay to every 8 vases. This is determined by the first given proportion 3 lbs./8 vases and confirmed by the second. To prove that is the case you divide the second ration by the first numerator:
9 divided by 3 = 3 and 24 divided by 3 = 8. So the proportion for 9/24 is still 3/8. This can also be used to increase the number of vases made. For example if 40 vases need to be made:
we divide 40 by the numerator 8 = 5. So we need 5 portions of 3 to make 40 vases. 5 times 3 = 15. So the 15 lbs. of clay is needed for 40 vases.</span>
Greater or equal to than -8
