Answer:
Option: A is the correct answer.
The number of weeds is decreasing by a multiplicative rate.
Step-by-step explanation:
Clear;y from the scatter plot we could observe that with the increasing value of one variable the other variable is decreasing.
Hence, The number of weeds is decreasing.
Also as we could see that the line of best fit is a curve and not a line Hence, the number of weeds are not decreasing by a additive rate ( since the rate or a slope of a line is constant) it is decreasing by a multiplicative rate.
<em>Based on the graph of a regression model:</em>
<em>Option: A is correct.</em>
Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.
First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.
Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:
1, 3, 5, 7, 9, 11, 13, 15 .
Number of items in the set . . . 8
Sum of all the items in the set . . . 64
Hmmm. That's interesting. 64 happens to be the square of 8 .
Do you think that might be all there is to it ?
Let's check it out:
Even-numbered lists of odd numbers:
1, 3 Items = 2, Sum = 4
1, 3, 5, 7 Items = 4, Sum = 16
1, 3, 5, 7, 9, 11 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .
Amazing ! The sum is always the square of the number of items in the set !
For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.
I slogged through it on my calculator, and it's true.
I never knew this before. It seems to be something valuable
to keep in my tool-box (and cherish always).
Answer:
1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.
2)Where you multiply the two exponents together
3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.
Step-by-step explanation:
1) 3^3 x 3^4 = 3 ^3+4 = 3^7
3^9 ÷3² = 3^9-2 = 3^7
2) (3^2)^2 = 3^2×2 =3^4
3) 1/3^-5 = 3^5 \
3^-7 =1/3^7
2^0 = 1
