The maximum value is actually the maximum of y
So, you don't need to care about the stuff inside cosine function,
Cosine function is always within the range of [-1,1]
So here, ymax = -1 + 6* 1 = 5
Answer:
Therefore required expression is
y =462 - t×15
where y represents the amount of money in her bank account in dollar after t week.
Step-by-step explanation:
Given that,
Holly has $462 in her bank account and takes out $15 each week but does not put any back in.
She takes out $15 on first week.
The remaining amount of her bank account is =$(462-15)
=$(462 - 1×15)
If she withdraws $15 on second week.
The remaining amount of her bank account is =$(462-15-15)
=$(462 - 2×15)
Similarly after third the amount in her account is =$(462 - 3×15)
From the above it is cleared that
The amount in her account after t week is
=$(462 - t×15)
Therefore required expression is
y =462 - t×15
where y represents the amount of money in her bank account in dollar after t week.
<h3>
Answer: -5/4</h3>
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Explanation:
The terminal point is at (x,y) = (3,-4)
Apply the pythagorean theorem to find that x^2+y^2 = r^2 solves to r = 5. This is the length of the hypotenuse.
Then we can determine the cosecant of the angle theta using the formula below
csc(theta) = hypotenuse/opposite
csc(theta) = r/y
csc(theta) = 5/(-4)
csc(theta) = -5/4
Side note: csc = 1/sin
longest leg = 2
The longest leg is opposite the 60° angle
= 4 × sin60°
= 4 × / 2 = 2
Answer:
0.43
Step-by-step explanation:
To calculate the relative frequency of any of the values in the frequency table, divide the value by the total (120)
For example, the relative frequency of boys who prefer math is:
43 ÷ 120 = 0.36
Reading from the frequency table, the total number of boys is 52. Therefore, the relative frequency for the total number of boys is:
52 ÷ 120 = 0.43
