Answer:
x = 8
Step-by-step explanation:
x=8
32/24=1 1/3
16/12=1 1/3
(y+1)/21=1 1/3 --> 26 is y
(x-1)/6=1 1/3 --> 7=(x-1) so 8-1=7 so x=8
HOPE THAT HELPS! :)
Complete question is;
The function V(r) = (4/3)πr³ can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
A) the radius of the basketball when the volume is V
B) the volume of the basketball when the radius is r
C) the volume of the basketball when the radius is V
D) the radius of the basketball when the volume is r
Answer:
B: V(r) is the volume of the basketball when the radius is r.
Step-by-step explanation:
The function V(r) = (4/3)πr³ means that the volume of air inside the basketball depends on the radius of the basketball.
Now, this means that the radius in this case will be the independent variable while the volume is called the dependent variable.
Thus, V(r) is the volume of the basketball when the radius is r.
Answer:
A nitrogen level of 1 gives the best yield.
Step-by-step explanation:
We are given the following:
Yield Y of an agricultural crop as a function of the nitrogen level N in the soil

First, we differentiate Y(N) with respect to N, to get,

Equating the first derivative to zero, we get,

Solving, we get,

Again differentiation Y(N), with respect to N, we get,

At N = 1
Thus, by double derivative test, the maximum value of Y(N) occurs at N = 1.
Thus, largest yield of crop is given by:
Y(1) =

The answer is:
[C]: "
quintic" .
______________________________________________________<u>Note</u>: The prefix "
quint-" is ONE of the prefixes (other than "pent-") that means "
5" ; and considering: "
3x⁵ " ; we consider the "largest exponent value corresponding to a variable"— which, in the question, is "
5" — as the "degree of the polynomial" .
______________________________________________________
Consider: "Choice:
[A]: "
cubic".
This answer is incorrect.
This choice would be correct IF the polynomial was: "
3x³ " .
___________________________________________________________Consider: "
Choice: [B]: "
quadratic" ; is incorrect.
This would refer to an equation, in "quadratic form" ; that is:
"
ax² + bx + c = 0 ; { b
0 } . " .
___________________________________________________________Consider: "
Choice: [D]: "
quartic" ; is incorrect. This would refer to: "
3x⁴ " .
___________________________________________________________
Answer:
(b) Along the straight line from (0, 0, 0) to (0, 1, 1), x = 0, y = 0, dx = 0, dy = 0, while z ... 6(1)(1)}dx + {2(1)+3x(1)} + {1 – 4x(1)(19°30 = S (3x' – 6)dx=-5 ... (c) The straight line joining (0,0,0) and (1, 1, 1) is given in parametric form by x = 1, y = 1, z = 1. ... From this it follows that the line integral around any closed path in R is zero, ...
Step-by-step explanation: