S (or answer D). The square and square root functions cancel each other out and effectively work as an absolute value function turning the input positive. So it doesn't matter what value S has to start with, its guaranteed to come out positive

Question

asked 2021-03-11

in number 7, Is the exponent of (-1) n right? I thought that the exponent of (-1) is n-1 because it changed from n=0 to n=1, and if \((-1)^{n}\), there will be a change of sign between negative sign and positive sign.

asked 2021-01-08

Simplify sqrt-54 using the imaginary number i

A) \(\displaystyle{3}{i}\sqrt{{6}}\)

B) \(\displaystyle-{3}\sqrt{{6}}\)

C) \(\displaystyle{i}\sqrt{{54}}\)

D) \(\displaystyle{3}\sqrt{-}{6}\)

A) \(\displaystyle{3}{i}\sqrt{{6}}\)

B) \(\displaystyle-{3}\sqrt{{6}}\)

C) \(\displaystyle{i}\sqrt{{54}}\)

D) \(\displaystyle{3}\sqrt{-}{6}\)

asked 2020-11-02

\(\displaystyle{6}^{{2}}\)

=

A. 36

B. 12

C. 66

D. 30

=

A. 36

B. 12

C. 66

D. 30

asked 2021-03-04

Simplify each of the following expressions. Be sure that your answer has no negative or fractional exponents. \(a*(1/81)^(-1/4)b*x^(-2)y^(-4)c*(2x)^(-2)(16x^2y)^(1/2)\)

asked 2021-02-06

Calculate the magnitude of the linear momentum for the following cases:

a) a proton with mass \(\displaystyle{1.67}{x}{10}^{{-{27}}}\) kg, moving with a speed of \(\displaystyle{5.00}\times{10}^{{6}}\) m/s

b) a 15.0-g bullet moving with a speed of 300 m/s

c) a 75.0-kg sprinter running with a speed of 10.0 m/s

d) Earth (mass \(\displaystyle={5.98}\times{10}^{{{24}}}\) kg) moving with anorbital speed equal to \(\displaystyle{2.98}\times{10}^{{4}}\) m/s.

a) a proton with mass \(\displaystyle{1.67}{x}{10}^{{-{27}}}\) kg, moving with a speed of \(\displaystyle{5.00}\times{10}^{{6}}\) m/s

b) a 15.0-g bullet moving with a speed of 300 m/s

c) a 75.0-kg sprinter running with a speed of 10.0 m/s

d) Earth (mass \(\displaystyle={5.98}\times{10}^{{{24}}}\) kg) moving with anorbital speed equal to \(\displaystyle{2.98}\times{10}^{{4}}\) m/s.

asked 2020-10-27

Which of the following is the correct equation used to solve for the measure of each angle?
OA.

\(\displaystyle{m}\angle{A}−{m}\angle{B}−{m}\angle{C}={180}∘\) O B. \(\displaystyle{m}\angle{A}+{m}\angle{B}−{m}\angle{C}={180}∘\) O c. \(\displaystyle{m}\angle{A}−{m}\angle{B}+{m}\angle{C}={180}∘\) O D. \(\displaystyle{m}\angle{A}+{m}\angle{B}+{m}\angle{C}={180}∘\)

The measure of analeAis Click to select your answer(s). Save for Later 0.

(i) 170

(1) 7

(1) 5

(1) 5

(1) 5

(1) 5

\(\displaystyle{m}\angle{A}−{m}\angle{B}−{m}\angle{C}={180}∘\) O B. \(\displaystyle{m}\angle{A}+{m}\angle{B}−{m}\angle{C}={180}∘\) O c. \(\displaystyle{m}\angle{A}−{m}\angle{B}+{m}\angle{C}={180}∘\) O D. \(\displaystyle{m}\angle{A}+{m}\angle{B}+{m}\angle{C}={180}∘\)

The measure of analeAis Click to select your answer(s). Save for Later 0.

(i) 170

(1) 7

(1) 5

(1) 5

(1) 5

(1) 5

asked 2021-02-19

(a) The new coordinates geometrically if X represents the point \((0,\ \sqrt{2})\) m and this

point is rotated about the origin \(45^{\circ}\) clockwise and then translated 2 units to the right and 3 units upward.

(b) The value of \(Y = ABX,\) and explain the result.

(c) If ABX equal to BAX. Interpret the resul.

(d) A matrix that translate Y back to X

point is rotated about the origin \(45^{\circ}\) clockwise and then translated 2 units to the right and 3 units upward.

(b) The value of \(Y = ABX,\) and explain the result.

(c) If ABX equal to BAX. Interpret the resul.

(d) A matrix that translate Y back to X

asked 2021-01-08

The central processing unit (CPU) power in computers has increased significantly over the years. The CPU power in Macintosh computers has grown exponentially from 8 MHz in 1984 to 3400 MHz in 2013 (Source: Apple. The exponential function
\(\displaystyle\${M}{\left({t}\right)}={7.91477}{\left({1.26698}\right)}^{{t}}{\left[{m}{a}{t}{h}\right]}\),
where t is the number of years after 1984, an be used to estimate the CPU power in a Macintosh computer in a given year. Find the CPU power of a Macintosh Performa 5320CD in 1995 and of an iMac G6 in 2009. Round to the nearest one MHz.

asked 2021-02-24

Deduce from the Completeness Axiom that there exists a square root of a real number a if and only if a ≥ 0

asked 2021-02-05

Let C be the ellipse contained in the xy plane whose equation is \(\displaystyle{4}{x}^{{2}}+{y}^{{2}}={4}\), oriented clockwise. The force field F described by \(\displaystyle{F}{\left({x},{y},{z}\right)}={x}^{{2}}{i}+{2}{x}{j}+{z}^{{2}}{k}\), moves a particle along C in the same direction as the curve orientation, performing a W job. C as the surface boundary S: \(\displaystyle{z}={4}-{4}{x}^{{2}}-{y}^{{2}},{z}\ge{0}\) (with ascending orientation, that is, the component in the z direction equal to 1) and assuming \(\displaystyle\pi={3.14}\), we can state what:

a) It is not necessary to apply Stokes' Theorem, as C is a closed curve and therefore W = 0.

b) Inverting the orientation of the surface S, we can apply Stokes' Theorem and conclude that W = 12.56.

c) We can apply Stokes' Theorem and conclude that W = 6.28

d) We can apply Stokes' Theorem and conclude that W = 12.56.

a) It is not necessary to apply Stokes' Theorem, as C is a closed curve and therefore W = 0.

b) Inverting the orientation of the surface S, we can apply Stokes' Theorem and conclude that W = 12.56.

c) We can apply Stokes' Theorem and conclude that W = 6.28

d) We can apply Stokes' Theorem and conclude that W = 12.56.