The value of the expression 2C+3B is 5m + 7
<h3>How to evaluate the expression?</h3>
The given parameters are:
C = m + 1
B = m + 5
To evaluate the expression 2C+3B;
We substitute C = m + 1 and B = m + 5
So, we have:
2C+3B = 2 * (m + 1) + 3 * (m + 5)
Expand
2C+3B = 2m + 2 + 3m + 15
Evaluate the like terms
2C+3B = 5m + 7
Hence, the value of the expression 2C+3B is 5m + 7
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First off hmm <span>26°1' is just 26 degrees and 1 minute
there are 60 minutes in 1 degree, so 1minute is just 1/60 degrees
so </span>26°1' is 26° + (1/60)° or 26.1667 rounded up, since 1/60 is a recurring unit
alrite... so hmm, check the picture below
make sure your calculator is in Degree mode.
Since (a^m)^n=a^mn, you multiply the exponents and you get their product, which will be the new exponent of the base.Therefore, the answer would be C. Product power of a Product Property.
Answer:
9/13 = 0.6923
Step-by-step explanation:
We start by defining
A as event that head was flipped
B1 = event that coin is biased
B2 = event that it is unbiased
P(B1) = 3/5
P(B2) = 2/5
P(A|B1) = 3/4
P(A|B2) = 2/4 = 1/2
When we solve this using bayes theorem we have to find
p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)
= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5
= 0.45/0.45+0.2
= 0.45/0.65
= 0.6923
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!