Answer:
Taking into account the values showed for this food (image attached). It is required
5
Servings.
Step-by-step explanation:
The total calcium (Cat) required is 1300 mg/day.
One serving of this food can have 260 mg.
First step is to suppose one day of calculation. t = 1 day.
Cat = (1300 mg/day)(1 day) = 1300 mg Calcium.
One single serving can have 260 mg Calcium (Cas). So, we need to calculate the amount of servings (N) required to complete 1300 mg.
Cat = Cas*N
N = Cat/Cas = 1300 mg/260mg
N = 5.
Finally amount of servings is five N = 5.
Answer:
Step-by-step explanation:
The formula for the dot product of vectors is
u·v = |u||v|cosθ
where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.
which is 
which is 
I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.
We also need the angle, which of course has its own formula.
where uv has ITS own formula:
uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.
uv = 96.
To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:
which returns an angle measure of 30.7. Plugging that all into the dot product formula:
gives you a dot product of 96
ANSWER
EXPLANATION
The general term for the sequence is
To find the 55th term, we have to substitute
in to the general term and simplify.
This implies that,
Therefore the 55th term is 161.
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<span> 1.
If betting on red, 18/38 = 9/19 chance of winning, so 10/19 chance of losing
Chance of winning 4 times: (9/19)^4 = 6561/130321 =~ 5.034%
Chance of winning 3 times: (9/19)^3 * (10/19) * C(4,1) = 29160/130321 =~ 22.3755%
Chance of winning 2 times: (9/19)^2 * (10/19)^2 * C(4,2) = 48600/130321 =~ 37.2925%
Chance of winning 1 time: (9/19) * (10/19)^3 * C(4,3) = 36000/130321 =~ 27.624%
Chance of winning 0 times: (10/39)^4 = 10000/130321 =~ 76.7336% </span>
