<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>
x on the interval [0, 2π)
<h3>Solution</h3>
Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
Answer:
A. 0.89.
Step-by-step explanation:
The value of correlation coefficient ranges from -1 to 1. Any value outside this range cannot possibly be correlation coefficient of a scatter plot representing relationship between two variables.
The scatter plot given shows a positive correlation between average daily temperatures and number of visitors, as the trend shows the two variables are moving in the same direction. As daily temperature increases, visitors also increases.
From the options given, the only plausible correlation that can represent this positive relationship is A. 0.89.
Answer:
14
Step-by-step explanation:
(9x + 10)° = 136°
9x + 10 = 136
9x = 126
x = 14
Answer:
E
Step-by-step explanation:
19) Amount of oil in = amount of oil in final product
.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)
x = 21.54 L of 2.5 % then 9% = 18.46 L
The answer is B. 0.8/0.1 = s
The solution is as follows:
s = honey at hand / honey needed for 1 serving
= 0.8 L / 0.1 L
= 8, she can make 8 servings of the recipe
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