Pre-calculus and Functions

reducing the index of radicals

reducing the index of radicals

How would I reduce the index of radicals here? I already have an answer but I'm not sure if it's correct. Please help me. Thank you so much.

1.) Fourth root of 81x^6
2.) Sixth root of 729x^2

Jessa   149   3 Replies

JamIYOU

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice

Samuel has two 4-sided dice. The sides of each die have the numbers 1, 2, 3 and 4. Because the dice and pyramid shaped, when Samuel rolls the dice, each lands with three faces showing and one face down.
If Samuel rolls his dice, the proba

ohemati   1332   2 Replies

bio_man

1. Find the domain of f(x)=1/sqrt(3+2x)

1. Find the domain of f(x)=1/sqrt(3+2x)

1. Find the domain of  f(x)=1/sqrt(3+2x)
2. If f(x)=1-x^2 and g(x)=1/sqrt x, find (f*g)(x)
3. An open box is to be made from a rectangular piece of material 9 in.  12 in. by cutting equal squares from each corner and turning up th

ccnnieeee   298   7 Replies

duddy

3d triangle question

3d triangle question

Ron is expressing his love for Hermione who is standing on a
platform. Her other love Krum is off to the side, seeking her
hand in marriage. Hermione looks down to Ron at an angle of
20° and looks down to Krum at an angle of 18°. If Kr

S.v   196   9 Replies

S.v

A circular pizza has a radius of x cm.

A circular pizza has a radius of x cm.

a) Write an expression for the area of the pizza.
b) Write a simplified expression for the area of a pizza with a radius that is 3cm more.
c) How much greater is the second area? Write the difference as a simplified expression.

P

Jacklyn02   402   4 Replies

Jayden Alvarez

A clock is showing the time as exactly 3:00 p.m. and 25 s.

A clock is showing the time as exactly 3:00 p.m. and 25 s.

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a
full minute has not passed since 3:00, the hour hand is pointing
directly at the 3 and the minute hand is pointing directly at the 12. If
the tip of the second hand i

marinejas   388   8 Replies

marinejas

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15

A company that sells sweatshirts finds that the profit can be modelled by P(s)= -0.30s^2+3.5s+11.15, where P(s) is the profit, in thousands of dollars, and s is the number of sweatshirts sold (expressed in thousands).
a) Calculate the average ra

marinejas   653   3 Replies

bio_man

A daredevil jumps off the CN Tower and falls freely... question 10 math textbook gr11

A daredevil jumps off the CN Tower and falls freely... question 10 math textbook gr11

The question is: A daredevil jumps off the CN Tower and falls freely for several seconds before
releasing his parachute. His height, in metres, t seconds after jumping
can be modelled by
-4.9t^2+t+360
-4t+142
How long after j

S.v   142   2 Replies

S.v

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where ...

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where ...

A meat department manager discovers that she can sell m(x) kilograms of ground beef in a week, where m(x) = 14700 - 3040x, if she sells it at x dollars per kilogram. She pays her supplier $3.21/kg for the beef.
a) Determine an algebraic express

12

emilyliv   1775   27 Replies

Sridhar Ramsagar

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - ...

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - ...

A quadratic function is defined by f(x) = 3x^2 + 4x - 2. A linear function is defined by g(x) = mx - 5. What values of the slope of the line would make it a tangent to the parabola?

emilyliv   113   3 Replies

bio_man

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top

A tower that is 65m high makes an obtuse angle with the ground. The vertical distance from the top

of the tower to the ground is 59m. What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian?

marinejas   311   4 Replies

marinejas

Algebraically determine the x intercept of the exponential function

Algebraically determine the x intercept of the exponential function

algebraically  determine the x intercept of the exponential function f(x)=2(3)^(x-4) -16 in the form of log a + b log c / log d

hsedward   268   1 Reply

bio_man

Algebraically determine the exact value of sin(-π/6)+cos (7 π/4)

Algebraically determine the exact value of sin(-π/6)+cos (7 π/4)

algebraically determine the exact value of sin(-π/6)+cos (7 π/4)

hsedward   171   1 Reply

bio_man

Algebraically determine the general solution, in degrees, of the equation below.

Algebraically determine the general solution, in degrees, of the equation below.

algebraically determine the general solution, in degrees, of the equation below.
Hint: there are three solutions that can be written using one general solution.
(sin x+1)(2sin x -1)= 0

hsedward   248   1 Reply

bio_man

Algebraically determine the value of sin (A-B)

Algebraically determine the value of sin (A-B)

if sin A =3/5 and cos B= 5/12, where A and B are in the first quadrant , algebraically determine the value of sin (A-B)

hsedward   216   1 Reply

bio_man

Algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

Algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

algebraically solve the equation sec^2 θ-2=0 such that -π ≤ θ ≤ π

hsedward   257   2 Replies

bio_man

An antique painting is purchased in 1980 for $995. The value increases by 3.1% e

An antique painting is purchased in 1980 for $995. The value increases by 3.1% e

An antique painting is purchased in 1980 for $995. The value increases by 3.1% every

a) Write an equation that models the value of the painting after t years. Include the general form of the function. 
b) Determine the increase

helping is kind   1177   10 Replies

Gabriel310

An engineer is designing a parabolic arch

An engineer is designing a parabolic arch

An engineer is designing a parabolic arch. the arch must be 15 m high and 6 m wide at a height of 8 m. Determine a quadratic function that satisfies these conditions. Can someone tell me how I'm supposed to find the equation?

S.v   158   3 Replies

bio_man

An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal square

An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal square

Please see the attachments

ccnnieeee   199   1 Reply

bio_man

Angle θ is a principal angle that lies in quadrant 2 such that 0° ≤ θ ≤ 360°.

Angle θ is a principal angle that lies in quadrant 2 such that 0° ≤ θ ≤ 360°.

Angle θ is a principal angle that lies in quadrant 2 such that 0° ≤ θ ≤ 360°. Given each trigonometric ratio.
i) determine the exact values of x, y, and r

b) cot θ = -4/3

emilyliv   535   5 Replies

bio_man

Answer only please. No need solution . Thank you and Godbless

Answer only please. No need solution . Thank you and Godbless

[url=https://biology-forums.com/index.php?action=ga

Acer Matthew Asistio   166   3 Replies

bio_man

Answer the following short answer, please show your steps and include the formulas used

Answer the following short answer, please show your steps and include the formulas used

Simon has a Wayne Gretzky rookie hockey card. He bought it in 2000 for $500 on e-Bay. He estimates that it will appreciate in value by 7% each year. The dealer told him the function V(t) 5 500(1 1 0.07)t can be used to estimate the card’s future valu

helping is kind   446   9 Replies

helping is kind

Answers only. No need solution . Thank you :)

Answers only. No need solution . Thank you :)

[url=https://biology-forums.com/index.php?action=gallery;

Acer Matthew Asistio   95   1 Reply

bio_man

Bacteria Population

Bacteria Population

The doubling time of a small intestine bacteria is roughly about 10 hours. A typical small intestine will usually have a starting population of around 10,000 bacteria per ml of fluid. How long is it going to take for 100,000 bacteria per ml to

chibi   142   4 Replies

chibi

Calculating Resultant Force with two Vectors

Calculating Resultant Force with two Vectors

I work at a utility company and we often have to calculate resultant force on our distribution lines. Example... If I have a force pulling against a utility pole at 90 degrees and a force pulling against the same pole at 315 degrees (500lbs and 700lb

Odyssey31   227   1 Reply

bio_man

Calculus homework

Calculus homework

Hi there, I just started calculus and I'm having trouble with these particular questions, my teacher has a hard time teaching and doesn't really care about online students, so it has been really hard teaching myself.

https://ibb.

12

s.h_math   538   22 Replies

s.h_math

Candice is holding onto the end of a spring that is attached to a lead ball.

Candice is holding onto the end of a spring that is attached to a lead ball.

question continued, As
she moves her hand slightly up and down, the ball moves up and down. With a
little concentration, she can repeatedly get the ball to reach a maximum height
of 20 cm and a minimum height of 4 cm from the top of a

emilyliv   387   5 Replies

emilyliv

Clock Trig Question

Clock Trig Question

1. I have another clock question, I already had sketched everything but wasn't sure on how to exactly solve it because it is a little difference. This time the hour hand is pointing directly at the 9 and the minute pointing at the 12. Then the t

marinejas   132   6 Replies

marinejas

Combination or permutations

Combination or permutations

Determine the number of 4 -letter arrangements that can be formed with the letters of the name HILBERT. Each letter can be used only once and the arrangement must have the following: a) contain only consonants b) begin and end with a consonant c) beg

hsedward   228   1 Reply

bio_man

Composition of Functions

Composition of Functions

f(x)=x^4+8
g(x)=x-2
h(x)=sqrt(x)

f*g*h(x)

km43sd   236   1 Reply

bio_man

Compound Angle Formulas

Compound Angle Formulas

Hi, so sorry for the very long question! Thought it was best to include it all at the same time, since they are all related
1. Determine the exact value of the following:
a) cos 75 degrees         b) sin 5pi/12

marinejas   190   10 Replies

marinejas

Consider f(x) = -2x^2 + 3x - 1 c) Graph f^-1 (x) for y ≥ 0.75.

Consider f(x) = -2x^2 + 3x - 1 c) Graph f^-1 (x) for y ≥ 0.75.

l

12

emilyliv   172   16 Replies

bio_man

Consider the transformation y=4^x

Consider the transformation y=4^x

Consider the transformation y=4^x

a) State the general form of an exponential function.
b) Sketch the graph showing 5 key points.
c) State the y-intercept.
d) State the equation for the asymptote.
e) State the domai

helping is kind   225   5 Replies

helping is kind

Converting between polar and rectangular

Converting between polar and rectangular

(a)    5 ∠ 289°   to rectangular coordinates

(b)   (-5,7)    to polar coordinates

Thanks!

chementhusiast   151   1 Reply

bio_man

Could some explain to me how inequalities with absolutes are solved?

Could some explain to me how inequalities with absolutes are solved?

We have an assignment and I'm completely lost. I think my teacher's to blame. Any tutorial headed my way will help tremendously

FullGrownMateus   121   1 Reply

bio_man

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

Determine all values where sinx = cosx for -360° ≤ x ≤ 360.

emilyliv   148   2 Replies

emilyliv

Determine exact value of tan2x,sin2x, and cos2x

Determine exact value of tan2x,sin2x, and cos2x

if cscx= -17/15 and pi<x<3pi/2

marinejas   250   10 Replies

marinejas

Determine how many solutions there would be for the following equation and Explain why

Determine how many solutions there would be for the following equation and Explain why

If sin6x = √5 and 0 ≤ x ≤ 2pi.

marinejas   114   1 Reply

bio_man

Determine the equation for each sinusoidal function. ii)

Determine the equation for each sinusoidal function. ii)

determine the equation for each sinusoidal function. ii)

emilyliv   244   10 Replies

bio_man

Determine the exact area of each large triangle.

Determine the exact area of each large triangle.

Determine the exact area of each large triangle.

emilyliv   148   4 Replies

emilyliv