ANSWER: 18
EXPLANATION:
y=kxzw
where k is a constant
Making k the subject of the formula, we have
k=y/xzw
Inputting the values
k= 72/(2)(1)(12)
k=72/24
k = 3
Solving for y when x=1,z=2 and w=3
We have
y=kxzw
y = (3)(1)(2)(3)
y = 18
Answer:
- L(t) = 727.775 -51.875cos(2π(t +11)/365)
- 705.93 minutes
Step-by-step explanation:
a) The midline of the function is the average of the peak values:
(675.85 +779.60)/2 = 727.725 . . . minutes
The amplitude of the function is half the difference of the peak values:
(779.60 -675.85)/2 = 51.875 . . . minutes
Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.
Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.
Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.
Our formula is ...
L(t) = 727.775 -51.875cos(2π(t +11)/365)
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b) L(55) ≈ 705.93 minutes
Answer:
none of the above
f(x) ≈ 197·1.03^x; approximately 3% daily
Step-by-step explanation:
If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...
f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x
f(x) ≈ 197·1.03^x
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The daily multiplier of 1.03 represents a daily growth rate of
1.03 -1 = .03 = 3%
_____
These answers are not found among the offered choices:
f(x) = 197·1.03^x
3% daily growth
Step-by-step explanation:
If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is
-1 -1
-1 -1
-1 -1
-1 -1
-1 -1
Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.
Therefore 2(-5) is -10 using integer tiles.
If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.
So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.
A polynomial is the sum of at least one term. For example, x^3+1 is a polynomial. A monomial is a polynomial with only one term, such as 2x^2.
A binomial is a polynomial with two terms, and a trinomial is one with three terms. The example you gave is a trinomial (which is also a polynomial).
Degree of a polynomial is the largest sum of variable powers in any term of the polynomial. So, for example, x^2 y has degree 3, and x^3+x^2 also has degree 3. A sixth degree polynomial would be x^6-2x+1, for example.
