I don't understand this. . . . Somebody, please help!

30 POINTS!<br> Find the value of x. The polygons are similar, but not neccesary drawn to scale.

Juli2301 [7.4K]

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! :)

7 0

3 years ago

The function von = nrcan be used to find the volume of air inside a basketball given its radius. What does V(-)

viva [34]

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.

5 0

3 years ago

A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil ) (measured in appropriat

il63 [147K]

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

$Y(N) = \displaystyle\frac{kN}{1+N^2}$

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

$\displaystyle\frac{d(Y(N))}{dN} = \displaystyle\frac{d}{dN}\Bigg(\displaystyle\frac{kN}{1+N^2}\Bigg)\\\\= \frac{(1+N^2)k-kN(2N)}{(1+N^2)^2}\\\\=\frac{k-kN^2}{(1+N^2)^2}$

Equating the first derivative to zero, we get,

$\displaystyle\frac{d(Y(N))}{dN} = 0\\\\\Rightarrow \frac{k-kN^2}{(1+N^2)^2} = 0$

Solving, we get,

$\displaystyle\frac{k-kN^2}{(1+N^2)^2} = 0\\\\k-kN^2 = 0\\k(1-N^2) = 0\\k \neq 0\\1-N^2 = 0\\N = \pm 1\\N \neq -1\\N = 1$

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

$\displaystyle\frac{d^2(Y(N))}{dN^2} = \displaystyle\frac{2kN(N^2-3)}{(1+N^2)^3}$

At N = 1

$\frac{d^2(Y(N))}{dN^2} < 0$

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) =

$Y(N) = \displaystyle\frac{k(1)}{1+(1)^2} = \frac{k}{2}$

6 0

4 years ago

Classify the polynomial 3x^5 by degree

Oksanka [162]

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 $\neq$ 0 } . " .
___________________________________________________________
Consider: "Choice: [D]: "quartic" ; is incorrect. This would refer to: " 3x⁴ " .
___________________________________________________________

8 0

3 years ago

Read 2 more answers

hi pls help me timed test precalculus...im really sick right now so i could not do half of them pls give me whatever one u have.

Ksenya-84 [330]

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:

7 0

3 years ago