Answer:
7.
Step-by-step explanation:
15 - [7 + (-6)+ 1]^3
Using PEMDAS:
= 15 - [ 7-6+1]^3
Next work out what is in the parentheses:
= 15 - 2*3
Now the exponential:
= 15 - 8
= 7.
Answer:
x=0, -5/3
Step-by-step explanation:
Answer:
The driver will make it to the location in the next hour
Step-by-step explanation:
First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:
55(3.25)
= 178.75
Then, add 55 to this to see if the driver will make it in the next hour:
178.75 + 55
= 233.75
Since this is greater than 230.2, this means they will make it to the location.
So, the driver will make it to the location in the next hour.
Answer:
k = 4 ;
N = 52
Step-by-step explanation:
Given the ratio F(3, 48)
F takes in degree of freedom values; degree of freedom of groups ; degree of freedom of error
Hence,
df group or treatment = 3
df error = 48
df treatment = k - 1
k = Number of groups
3 = k - 1
3 + 1 = k - 1 + 1
4 = k
Number of treatment condition = 4
df error = N-k
N = total number of observations
48 = N - 4
48 + 4 = N - 4 + 4
52 = N
Answer:
Step-by-step explanation:
Given: f(x)=5x^3-51x^2+77x+100/x^2-11x+24
Please use parentheses to eliminate any ambiguity:
f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)
or (better yet):
5x^3-51x^2+77x+100
f(x) = ---------------------------------
x^2 - 11x + 24
The vertical asymptotes here are at the zeros of the denominator:
x^2 - 11x + 24 = 0, This quadratic equation has coefficients a = 1, b = -11 and c = 24. Thus, its roots (zeros) are:
-(-11) ± √( 121 - 4(1)(24) )
x = -------------------------------------
2(1)
or:
11 ± √( 25 )
x = --------------------
2
or: x = 8 and x = 3
The vertical asymptotes are x = 8 and x = 3.
If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x. As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote. Continuing this division results in:
5x + 4 + a fraction
This represents the slant asymptote, y = 5x + 4
