Answer:
Multiply vector c by the scalar -1/2.
Step-by-step explanation:
Look at vector c.
It has an x component of 4 and a y component of 4.
You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).
c = 4i + 4j
Now look at vector d, and write it also as a sum of its x and y components.
d = -2i - 2j
Now ask yourself, what operation do I do to 4 to end up with -2?
One answer is to multiply 4 by -1/2.
d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j
That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.
Answer:
=3
Step-by-step explanation:
Answer:
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
the large box weights 15.5 kg.
the small box weights 13.25 kg.
Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer: The mean height of women in a country ages 20 29
The mean height of women in a country (ages 20-29) is 63.7 inches.
