Answer:
42
Step-by-step explanation:
It's just a distribution property where the given value of each variables (a, b, c, d) are being distributed to the given equation:
7a2-3ac+d2
7(2)(2) - 3(2)(-3) + (-2)(2)
28 + 18 - 4 = 42
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
Answer:
A. 3/5
Step-by-step explanation:
To simplify a fraction, we need to find the Greatest Common Factor. The Greatest Common Factor is the highest number both the numerator and denominator can be divided by and still be a whole number. In our case the Greatest Common factor is 8. <u>Now all we do is divide the numerator and denominator by 8 and get our simplified fraction</u>. Image provided below of the "equation".
Answer:
No.
Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct
to get the mixed number of that fraction simply just divide the numerator by the denominator and make your remainder as a fraction;
19/5 = 3 4/5
