Answer:
60cm
Step-by-step explanation:
total length of wood = 3m
number of sections = 5
width of each section = 3/5 = 0.6 m
= 60cm
9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Answer:
x = 3.5714
Step-by-step explanation:
14x = 50
Divide 50/14
x = 3.5714
What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
Alexxx [7]
Answer:
Mean = 58.18
Median = 60
Modes = 55 and 60
Step-by-step explanation:
To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).
The median is the middle number of a set. In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.
The mode is/are the most frequent number(s) in the set. In this set, the numbers that appear the most are 55 and 60.
4. The equation is an exponential function where all y coordinates are above 4 (range is y>4), so for y=4 (answer D) there are no solutions. y=4 is the asymptote.
5. In a formula ax^2 + bx + c the discriminant is b^2-4ac. In this example the discriminant is 9-4*3*6 = -63. The fact that this value is negative reveals that this equation has no (real) solutions, only imaginary.
6. y=2x^2-x-5. Trial and error.
