Answer:
d. 9 integers
Step-by-step explanation:
Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.
We are to find relatively prime with 28 which are greater than 10 and less than 30
We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30
To be relatively prime with 28, common factors should be only 1.
28 = 2x2x 7. Hence the numbers which do not have factors as 2 or 7 will be relatively prime. Remove all the even numbers from the list.
We have 11,13,15....29.
Of these 21 is the multiple of 7 so remove that.
Thus we have now 11,13,15,17,19,23,25,27,29
9 integers
d. 9 integers
Answer:
f(x) and h(x) have the same maximum value: 3
Step-by-step explanation:
The maximum value of f(x) is 3 at (π, 3).
The maximum value of g(x) is -2 at (-3, -2).
The maximum value of h(x) is 3 at (0, 3).
Both f(x) and h(x) have the same (greatest) maximum value.
Answer:
50/18 or 2.77
Step-by-step explanation:
So first u have to make the 3 1/3 and 1 1/5 into improper fractions.
Then, you can do the keep, change, flip thing and then u get 10/3 x 5/6 to get 50/18
The answer is: [A]: He did not apply the distributive property correctly for 4(1 + 3i) .
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Explanation:
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Note the distributive property of multiplication:
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a*(b+c) = ab + ac.
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As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
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Instead, Donte somehow incorrectly calculated:
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4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
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So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
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4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
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This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
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