Answer:
Y=4
Step-by-step explanation:Solve for yy in (y=4)(y=4).
y=4y=4
2 Substitute y=4y=4 into 1-1/2=2
2
No Solution
<h3>
Answer: 9 meters</h3>
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Work Shown:
- side a = 8
- side b = 5
- angle C = 88 degrees
Applying the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 8^2 + 5^2 - 2*8*5*cos(88)
c^2 = 64 + 25 - 80*cos(88)
c^2 = 86.2080403
c = sqrt(86.2080403)
c = 9.2848285
c = 9
Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.
Answer: It would equal 1/27.
Step-by-step explanation: Any number raised to a negative exponent, essentially means you reciprocal to get rid of the negative. After that, you do the math for the number in the denominator, without considering the negative sign. You could also do it the other way, do the function first without the negative, 3^3 is 27 and then applying the negative, reciprocal it to 1/27.
Answer:
No, mn is not even if m and n are odd.
If m and n are odd, then mn is odd as well.
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Proof:
If m is odd, then it is in the form m = 2p+1, where p is some integer.
So if p = 0, then m = 1. If p = 1, then m = 3, and so on.
Similarly, if n is odd then n = 2q+1 for some integer q.
Multiply out m and n using the distribution rule
m*n = (2p+1)*(2q+1)
m*n = 2p(2q+1) + 1(2q+1)
m*n = 4pq+2p+2q+1
m*n = 2( 2pq+p+q) + 1
m*n = 2r + 1
note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.
The result 2r+1 is some other odd number as it fits the form 2*(integer)+1
Therefore, multiplying any two odd numbers will result in some other odd number.
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Examples:
- 3*5 = 15
- 7*9 = 63
- 11*15 = 165
- 9*3 = 27
So there is no way to have m*n be even if both m and n are odd.
The general rules are as follows
- odd * odd = odd
- even * odd = even
- even * even = even
The proof of the other two cases would follow a similar line of reasoning as shown above.
The amount for the given data is found as,
.The given expression is true.
<h3>What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the annual payment=2827
r is the rate of interest = 3.9%
n is the time period=12
The formula for the amount is found as;
Substitute the given value;
Hence the given expression is true.
To learn more about the amount, refer to the link: brainly.com/question/12184047.
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