This problem can take a while if you cannot observer the answer quickly.
First of all we can see that 32=2*2*2*2*2=2^5
243, if you don't know its actually is 3^5
Now we can see that this turns into...
- 2^5/3^5
since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below
(-3)^2=9 Positive
(-3)^3=-27 Negative since its to the odd power it keeps the sign.
This problem can be simplified to.
(-2/3)^5
And this is the answer :D
If you have any questions just put them in the comments.
Answer:
$27 approx
Step-by-step explanation:
Given data
Membership fee= 14.99 per month
for a year the fee is 14.99*12= 179.88
discount = 15%
=15/100*179.88
=0.15*179.88
=26.982
Hence for a year, you will save $27 approx
Answer:
The binomial mean, or the expected number of successes in n trials, is E(X) = np. The standard deviation is Sqrt(npq), where q = 1-p. The standard deviation is a measure of spread and it increases with n and decreases as p approaches 0 or 1.
Step-by-step explanation:
Answer:


Step-by-step explanation:
Look at both terms separately, and isolate each "part."
i.e. 12x^4y^2 becomes 12, x^4, y^2
So the problem becomes:
12, x^4, y^2 and
30, x^3, y^1
Then, find the GCF of each term,
30 and 12 - 6
x^4 and x^3 - x^3
y^2 and y^1 - y^1
Hope it helps :) and let me know if you want me to elaborate.
Answer:
1.) Slope = -1.5
2.) y-Intercept = 11.5
3.) y = -1.5x+ 11.5
Step-by-step explanation:
1.) Slope
Every time x decreases by two units, y increases by three units.
Slope = m = Δy/Δx = 3/(-2) = -1.5
2.) y-intercept
The y-intercept (b) is the value of y when x = 0.
When x = -1, y = 13.
If we increase x by 1 unit, x will equal 0.
The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.
y = 13 - 1.5 = 11.5
The y-intercept is at y = 11.5.
3.) Equation
The equation for a straight line is
y = mx + b
m = -1.5 and b = 11.5, so
y= -1.5 x + 11.5
The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.