Answer:
Step-by-step explanation:
percent increase = increase divided by original number x 100
increase is the difference between the two numbers...
new number - original number.....4000 - 2800 = 1200
percent increase = (1200 / 2800) x 100
= 0.42857 (round to .4286) x 100
= 42.86 %.....if you need it rounded to the nearest percent, it would be 43% increase
Answer:
(x, y, z) = (-4, 2, 1)
Step-by-step explanation:
See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.
The [x, y, z] result vector is the column on the right.
(x, y, z) = (-4, 2, 1)
_____
Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.
Answer:
False
Step-by-step explanation:
A perpendicular line parallel to the y- axis has equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (1, 5) with x- coordinate 1, thus
x = 1 ← equation of perpendicular line
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min