Answer:
-0.555
Step-by-step explanation:
The terminal point of the vector in this problem is
(-2,-3)
So, it is in the 3rd quadrant.
We want to find the angle 
that gives the direction of this vector.
We can write the components of the vector along the x- and y- direction as:
The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:
However, since we are in the 3rd quadrant, the actual angle is:
So now we can find the cosine of the angle, which will be negative:
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.
Answer:
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
The answer is D.
Step-by-step explanation:
Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
Answer:
D. domain: (-infinity, infinity); range: [1, infinity)
Step-by-step explanation:
The domain is the values that x can take
The domain is (-infinity, infinity)
The range is the values that y can take
absolute value is 0 or greater
cos x is from -1 to 1
The minimum value is when x=0
The smallest value is 1 and the largest is infinity
