You multiply by 10 or more
Answer:
n=1/2 after being simplified
Step-by-step explanation:
Use Division Distributive Property:
9^n-1=1/3^4n-1 then convert both sides to the same base
3^2(n-1) = 3^-(4n-1)
cancel the base of 3 on both sides
2(n-1) = -4n+1
then expand 2n-2=-4n+1
add 2 to both sides 2n=4n+1+2
simplify: -4n+1+2 to -4n+3
2n=-4n+3
add 4n to both sides: 2n+4n=3
simplify: 2n+4n to 6n
6n=3
divide both sides by 6
n=3/6
simplify and n=1/2
In order to make a frequency plot first we need to find the proportion of each outcome.
Total number of results = 15+20+5+5+5 = 50
Frequency of 0 = 15
Proportion of 0 = 15/50 = 0.3
Frequency of 1 = 20
Proportion of 0 = 20/50 = 0.4
Frequency of 2 = 5
Proportion of 2 = 5/50 = 0.1
Frequency of 3 = 5
Proportion of 3 = 5/50 = 0.1
Frequency of 4 = 5
Proportion of 4 = 5/50 = 0.1
Now we need to plot the data on a frequency plot. The x-axis shows the outcomes from 0 to 4 and y-axis shows the frequency of each outcomes. The frequency plot is shown in the figure attached with.
A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.
a square has all equal sides, and also all right angles, so all angles in a square are 90°. Let's say the sides are "x" long.
now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.
let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.
and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.
if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.
Answer:
Distance = 44 m
Change in position = 0 m
Step-by-step explanation:
Given:
Running around the house covering a total length of 44 m and reaching the same position where you started.
So, initial position is same as final position.
Change in position is given as:
Change = Final position - Initial position
Now, since, final position = Initial position.
So, Change in position = 0 m
Now, distance is the total length of the path covered. So, you started from your initial position and ran around the house covering a path length of 44 m before reaching the same starting position.
Therefore, the distance is equal to the path length and hence is equal to 44 meters