Pre-calculus and Functions

The height of your the rope after 1 minute to the nearest tenth of a meter is?

The height of your the rope after 1 minute to the nearest tenth of a meter is?

a girl jumps rope such that the height h, in meters, of the middle of the rope can be approximated by the equation h=0.7sin(72t +9) + 0.75, where t is the time in seconds . The height of your the rope after 1 minute to the nearest tenth of a meter is

hsedward   233   1 Reply

bio_man

What is the value of m?

What is the value of m?

If cosA= 0 and sun B = √2/2, where A,B [0, pi/2] , the value of cscB -cot A can be written as √m in simplified form. What is the value of m?

hsedward   248   3 Replies

bio_man

The exact value of sec theta + tan theta is?

The exact value of sec theta + tan theta is?

the point (10,-24) lies on the terminal arm of an angle theta in standard position. The exact value of sec theta + tan theta is?

a. 5 b.10/24 c.26/10 d.1/5

hsedward   217   1 Reply

bio_man

The horizontal phase shift of the resultant graph is

The horizontal phase shift of the resultant graph is

when the graph of y=sin theta has been transformed according to the directions y=sin(1/6x   + pi/2), the horizontal phase shift of the resultant graph is _ units to the left

hsedward   224   1 Reply

bio_man

Solving graphically

Solving graphically

When solved graphically, the equation 3sin^2 x - 2sin x = 1 in the domain - 360 degrees ≤ x < 360 degrees has how many solutions ?
a.8 b.4 c.3 d.6

hsedward   231   1 Reply

bio_man

The value of the θ

The value of the θ

the value of the θ in the domain  0 ≤ θ ≤pi satisfies the eq sqrt3cot θ+1 = 0?

a) pi/6    b)5pi/6    c)pi/3    d)2pi/3

hsedward   179   1 Reply

bio_man

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

If P(θ) = (√3 /2, -1/ 2), determine the coordinates of P (θ + 90 °) using the unit circle

hsedward   270   3 Replies

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   255   2 Replies

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   245   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   170   1 Reply

bio_man

The graph of y = sqrt(x) is vertically stretched by a factor

The graph of y = sqrt(x) is vertically stretched by a factor

1. The  graph of y = sqrt(x) is vertically stretched by a factor of 2 about the x-axis, then reflected about the y-axis, and then horizontally translated left 3. What is the equation of the transformed function?

2. The graph of the fu

hsedward   287   3 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

The date in the table represents which type of relation?

The date in the table represents which type of relation?

Linear, Quadratic, Exponential, etc.

helping is kind   162   6 Replies

helping is kind

Please show all your work (4 marks)

Please show all your work (4 marks)

A cup of hot liquid was left to cool in a room whose temperature was 9 C. The temperature changes according to the function T(t) = 80(1/2)^(t/30) + 9.

Explain the meaning of the y-intercept and the asymptote in the context of this problem

helping is kind   162   1 Reply

bio_man

Simplify. Write as a single power.

Simplify. Write as a single power.

Show your work

helping is kind   147   1 Reply

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   443   9 Replies

helping is kind

This table shows the growth of a crowd at a rally over a 3 h period.

This table shows the growth of a crowd at a rally over a 3 h period.

a) Determine the average rate of change in the size of the crowd for
each half hour of the rally.
b) What do these numbers represent?
c) What do positive and negative rates of change mean in this
situation?

marinejas   242   4 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

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   94   1 Reply

bio_man

Simplify the radicals by reducing the order or index of radicals

Simplify the radicals by reducing the order or index of radicals

Want to learn more bout math.

Dein   134   1 Reply

bio_man

For each function f(x) = 6x^2 - 4, estimate the instantaneous rate of change for the given values

For each function f(x) = 6x^2 - 4, estimate the instantaneous rate of change for the given values

of x.
a) x = -2 b) x = 0 c) x = 4 d) x = 8

12

marinejas   342   16 Replies

marinejas

Evaluate each expression for a = 2, b = 3 and Express values in rational form.

Evaluate each expression for a = 2, b = 3 and Express values in rational form.

Step 1: substitute a = 2 and b = 3 into the expres

DCDSB Helper   115   N/A

DCDSB Helper

The population of a city has continued to grow since 1950.

The population of a city has continued to grow since 1950.

The population of a city has continued to grow since 1950. The
population P, in thousands, and the time t, in years, since 1950 are
given in the table below and in the graph.
a) Calculate the average rate of change in population for th

marinejas   218   11 Replies

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   141   4 Replies

chibi

Sketch a graph of the function h(x), by hand on the following interval:

Sketch a graph of the function h(x), by hand on the following interval:

A doctor constructed a timeline of the last 18 months. They mapped regions based on the intensity of a patient’s symptoms and found that there was a cyclical pattern. When graphed as a function of intensity, it turned out to be similar to f(x)=sin

chibi   270   10 Replies

chibi

Graph the function by hand & label key points on graph:

Graph the function by hand & label key points on graph:

1. f(x)=-x^5+11x^4-43x^3+69x^2-36x
• state domain & range
• Mark points on the graph (At the first turning point, At the only root with order two)

12

chibi   414   17 Replies

bio_man

To satisfy the inequality, sketch the following function by hand and shade the graph regions.

To satisfy the inequality, sketch the following function by hand and shade the graph regions.

f(x)=1/x^2-9

chibi   273   6 Replies

chibi

Evaluate each of the following:

Evaluate each of the following:

a) log4(bottom exponent)64
c) log3(bottom exponent)√3

marinejas   181   6 Replies

bio_man

Solve the following Logarithmic equation, if log(x-y/3)=1/2(logx+logy),

Solve the following Logarithmic equation, if log(x-y/3)=1/2(logx+logy),

show that x^2+y^2=11xy.

marinejas   170   1 Reply

bio_man

Sound intensity log question

Sound intensity log question

The sound intensity of a jet engine is 140dB. A space-shuttle launch has a sound intensity of 18-dB.  How many more times intense is the space shuttle launch than the jet engine? recall  the following L=10log(I/Io) (bottom exponent).

marinejas   368   11 Replies

bio_man

Solve the following for x.

Solve the following for x.

1. a) logv3(3x+2)=3
What I did:
=3x + 2 = 3^3
= 3x+2 -2 = 27 -2
= 3x/3 = 25/3
= x = 8.3 Is this correct?
b) Mainly just needed help with b, 5^x-3 = 2^3x

marinejas   155   2 Replies

marinejas

Solve the following log function:

Solve the following log function:

1. 5^2x-4(5^x)=12

marinejas   212   4 Replies

marinejas

List transformations and Create a table of values for the following log function:

List transformations and Create a table of values for the following log function:

the function f(x)=logx has been transformed into the function h(x)=-1/3log(2x+4)-3
1. List the transformations.
I wrote a vertical stretch by a factor of -1/3, horizontal compression of 2, reflection in the x-axis, horizontal translation 4

marinejas   195   2 Replies

marinejas

Sketch the graph of each function using transformations. State the domain and range.

Sketch the graph of each function using transformations. State the domain and range.

a) f(x) = 3 log10(bottom exponent) x + 3
e) k(x) = 4 log10(bottom exponent) (1/6x) - 2
f) r(x) = log10(bottom exponent) (-2x -4)
Hi so I had some trouble creating a chart with these 3 different equations, the other video that you sugge

12

marinejas   336   16 Replies

marinejas

Let f(x)=log10(bottom exponent)x. For each function g(x) i), iii), v

Let f(x)=log10(bottom exponent)x. For each function g(x) i), iii), v

a) State the transformations that must be applied to f to produce the graph of g. (Just for v and iii)
b) State the coordinates of the points on g that are images of the points (1,0) and (10,1) on the graph of f.
c) State the equation of th

marinejas   178   5 Replies

bio_man

Given the parent function f(x)=log10(bottom exponent)x, state the equation of the function that

Given the parent function f(x)=log10(bottom exponent)x, state the equation of the function that

(continued) results from each of the following pairs of transformations:
a) vertical stretch by a factor of 5, vertical translation 3 units up.
b) reflection in the x-axis, horizontal compression by a factor of 1/3.
c) horizontal trans

marinejas   204   6 Replies

bio_man

Sketch a graph of the inverse of each exponential function.

Sketch a graph of the inverse of each exponential function.

1. a) f(x) = 4^x
    b) f(x) = (1/3)^x

marinejas   184   2 Replies

marinejas

Simplify the following expressions:

Simplify the following expressions:

a) (3xy^-2)^-2
b) (4a^-2)(-2a^-3)
c) 2k^-4 ÷ 4k^-6
d) (2x^2y)^-2 (3xy)^-1 / (6x^2y^2)^-2
e) (100xy)^1/2 (25x^3y^2)^-1/2

marinejas   216   13 Replies

bio_man

What is the degree of

What is the degree of

What is the degree of

1. 7x+4x³÷17
2. 3abc²+a²bc²-abc+2
3. X+2x²-6x³+ax⁴+1
4. 3xyz²+12
5. 14

Please send help

SOLUTION:

1. \(7x+\frac{4x^3}{17}\)

bio_man   348   1 Reply

duddy

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   112   1 Reply

bio_man