Answer:
the answer is 'undefined'
Step-by-step explanation:
Cot is defines as (cos x)/(sin x)
So we can rewrite our expression as...
(cos 180°)/(sin 180°) + (cos 180°)/(sin 180°)
or
2(cos 180°)/(sin 180°)
Cos 180° = 1, sin 180° = 0 (you get these from the unit circle)
so we have
2(1/0) = 2/0, which is undefined, because we don't divide by zero
Answer:
Step-by-step explanation:
If the amounts earned from the sale of each item were the same, then both amounts were $2400/2 = $1200.
The number of balloons sold at $3 each was $1200/$3 = 400.
The number of banners sold at $4 each was $1200/$4 = 300.
400 balloons and 300 banners were sold.
___
<em>Check</em>
Total sales was ...
$3 × 400 + $4 ×300 = $1200 +1200 = $2400 . . . answer checks OK
Answer:
yes it has
Step-by-step explanation:
The numerators of the eqations equates themselves likewise the denominator
numerators=10
denominators=3
Answer:
At least 832 teenargers must be interviewed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval
At least n teenargers must be interviewed.
n is found when M = 0.1.
We have that 
So
Rounding up
At least 832 teenargers must be interviewed.
Ln(x+6)-ln9=2
Using ln(a/b)=lna-lnb; with a=x+6 and b=9:
ln[(x+6)/9]=2
Using ln a=b→a=e^b; with a=(x+6)/9 and b=2, where e=2.718281828
(x+6)/9=e^2
Solving for x. Multiplying both sides of the equation by 9:
9[(x+6)/9]=9(e^2)
x+6=9e^2
Subtracting 6 both sides of the equation:
x+6-6=9e^2-6
x=9e^2-6
Replacing e=2.718281828
x=9(2.718281828)^2-6
x=9(7.389056096)-6
x=66.50150486-6
x=60.50150486
Rounded to the nearest hundreth:
x=60.50
Answer: Second option x=60.50
