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Answer:
formula is y= mx + c (c=y intercept)
1) slope= m= -0.75, y intercept = -2
y= -0.75x - 2
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2)slope=m=0.5, y intercept = 8
y= 0.5x + 8
Explanation:
Since {v1,...,vp} is linearly dependent, there exist scalars a1,...,ap, with not all of them being 0 such that a1v1+a2v2+...+apvp = 0. Using the linearity of T we have that
a1*T(v1)+a2*T(v1) + ... + ap*T(vp) = T(a1v19+T(a2v2)+...+T(avp) = T(a1v1+a2v2+...+apvp) = T(0) = 0.
Since at least one ai is different from 0, we obtain a non trivial linear combination that eliminates T(v1) , ..., T(vp). That proves that {T(v1) , ..., T(vp)} is a linearly dependent set of W.
Answer:
2. The answer should be the last one.
3. The answer should be the first three.
Step-by-step explanation:
<u>Question 2</u>
KE = (1/2)mv²
2KE = mv²
v² = 2KE/m
v = ±√(2KE/m)
Therefore the answer should be the last one.
<u>Question 3</u>
b^(1/2) * b^(5/2)
Remember that the <u><em>product rule</em></u> states that b^x * b^y = b^(x+y)
So this means b^(1/2) * b^(5/2) = b^(1/2+5/2) = b^(6/2) = b^3
Also remember that the <u><em>power rule</em></u> states that √b = b^(1/2)
so this means b^(6/2) can also be written as (√b)^6
Therefore the answer should be the first three.
<em>If you want to double check all of your answers, just replace b with a number (for example, 2), and plug all of the choices into the calculator. Just </em><u><em>make sure</em></u><em> you are </em><u><em>very careful</em></u><em> when typing into the calculator.</em>
Well first to find the mean you will have to add up all the numbers together.
5,299 is the total. After you have done that count how many numbers there are. There are 24 numbers. Divide 5,299 by 24 and you get about 220.8. So the mean is 220.8 To find the median number of jumps, write out all the numbers in order from least to greatest. I think you can do this part! The middle number is your answer. If there is no middle number, get the two numbers that are on each side of the middle and divide by 2. Hope I helped!