Pre-calculus and Functions

Simplify each expression using the various exponent laws.

Simplify each expression using the various exponent laws.

I was confused about how to apply the exponent laws to an equation like this.

emilyliv   74   4 Replies

emilyliv

Ratio and Ratios

Ratio and Ratios

2. In 2018, J&H Limited's total overhead of $300,000 was allocated as follows: 25% to Auto
Manufacturing, 40% to Broad Retailing, and the remainder to Construction. What is the ratio of
the overhead in Auto Manufacturin

Bishal Dahal   77   1 Reply

dianeflunder

State the degree of each function

State the degree of each function

f(x)=2x(x-4)


g(x)=(x+3)^2-x^2

tumi   79   1 Reply

bio_man

How to calculate invest at each rate

How to calculate invest at each rate

Hi!! May someone assist me in solving this question?

Jane invested $12,000, part at 6percent per annum and the remainder at 8percent per annum. After one year, the total interest from these investments was $880? How much did she invest at

theepicseal   84   1 Reply

bio_man

L.P.​ Model: Maximize Z equals = 4 4X plus + 6 6Y Subject​ to: 1 1X plus + 2 2Y less than or ...

L.P.​ Model: Maximize Z equals = 4 4X plus + 6 6Y Subject​ to: 1 1X plus + 2 2Y less than or ...

L.P.​ Model:






Maximize

Z
equals
=
4
4X
plus
+
6
6Y

Subject​ to:


1
1X
plus
+
2
2Y
less than or equals

Catracho   86   1 Reply

bio_man

Solving Trig equation

Solving Trig equation

Solve 2 cos(2^x) − 1 = 0 on the interval 0 ≤ 𝑥 ≤ 9, accurate to 4 decimal places. Verify your solutions.

S.v   88   5 Replies

bio_man

For the following recursive formula, find t3,t4,t5,t6: t1=−20, t2=60, tn=−4t(bottom ...

For the following recursive formula, find t3,t4,t5,t6: t1=−20, t2=60, tn=−4t(bottom ...

for the following recursive formula, find t3,t4,t5,t6: t1=−20, t2=60, tn=−4t(bottom exponent)n−2 

emilyliv   91   1 Reply

bio_man

Identify the properties of the following circular functions

Identify the properties of the following circular functions

1. F(x) = 4sin3(x-π) +5
Amplitude;
Period:
Phase shift:
Vertical shift:
Domain:
Range:

Table of values:
   X    |   180°  |  210°  |   240°  |   270° 

trisha chan   94   1 Reply

bolbol

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

Using the Pythagorean identity, when it applies?

Using the Pythagorean identity, when it applies?

I know:

\(\sin ^2x+\cos ^2x=1\)

but what about:

\(\sin ^23x+\cos ^23x=1\)

bio_man   99   1 Reply

bio_man

Expand and simplify quadratic relations

Expand and simplify quadratic relations

May some please solve this for me, it’s super important and I’m just absolutely lost on how to tackle these. The videos given by my teacher were not helpful and don’t link the info needed to go about solving these.

Expand and simp

theepicseal   99   1 Reply

bio_man

Expand and Simplify the expression.

Expand and Simplify the expression.

I was also confused about something like this, I know how to expand and simplify but the exponent's confused me during the whole process, as well as getting the final answer.

emilyliv   100   4 Replies

emilyliv

Verifying that a triangle is right angled given all 3 side coordinates

Verifying that a triangle is right angled given all 3 side coordinates

Hi ! I have a problem:

For triangle ABC with A(4,12) B(-2,-2) and C(5,-5) verify that the triangle is a right angled triangle.

I found the distance of all 3 side lengths

AC=17.02
CB=7.61
BA=15.23

theepicseal   102   1 Reply

bio_man

Dolphin/Penguin sinusoidal question

Dolphin/Penguin sinusoidal question

A dolphin is diving in and out of the water in the shape of a sinusoidal graph. It reaches a maximum height of 4 ft above the surface of water 10 seconds after timing and a maximum depth of 8 ft below the surface after 20 seconds. At the same time, a

S.v   104   3 Replies

bio_man

How many terms are there in the following sequence: 8,32,128,...96757023244288

How many terms are there in the following sequence: 8,32,128,...96757023244288

How many terms are there in the following sequence:  8,32,128,...96757023244288

emilyliv   106   1 Reply

bio_man

Help me with my homework please

Help me with my homework please

Hey guys can you help me with my homework?

Suppose that a dome has a semi-elliptical, 72 ft long and 24 ft high. Choose a coordinate system so that the center of the semiellipse is (0,0) with vertices (-36,0) and (36,0) and with the top o

Vince Louis Cacayurin   110   1 Reply

bio_man

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

Simplify. Express answers in rational form with positive exponents.

Simplify. Express answers in rational form with positive exponents.

I was having trouble solving this question, and also do you have any tips for solving these types of questions, like for example what to start first, I usually get confused on how to start it off.

emilyliv   113   2 Replies

emilyliv

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

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   116   N/A

DCDSB Helper

Determine the vertex and the direction of opening for each quadratic function. Then state the number ...

Determine the vertex and the direction of opening for each quadratic function. Then state the number ...

 QUESTION: Determine the vertex and the direction of opening for each quadratic function. Then state the number of zeros.
d) f(x) = 3(x +2)^2
I didn't understand the zeros part, the textbook said that there is 1 zero, but the zero is -

emilyliv   119   5 Replies

bio_man

Write equation for each function y = k +atrig(b(x-h))

Write equation for each function y = k +atrig(b(x-h))

amplitude  is -4/3  translation 2/3 phase shift pie/3 period 3 and the function is cosine


amplitude is  -1 translation -3 phase shift -pie/4 period 2 and the function sine

whill40   119   3 Replies

duddy

Ellipse. How deep does a circular cover with diameter 9 in going to the bowl?

Ellipse. How deep does a circular cover with diameter 9 in going to the bowl?

A spheroid (or oblate spheroid) is the surface obtained by rotating an ellipse around its minor axis. Bowl is the shape of the lower half of a spheroid, that is, its horizontal cross sections are circles while its vertical cross sections that pass th

trisha chan   119   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   122   1 Reply

bio_man

Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the vertex

Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the vertex

Find two quadratic functions f and g such that f (1) = 0, g(1) = 0 and f (0) = 10, g(0) = 10 and both have a maximum value of 18.

Below are the answers to this question presented in the textbook I'm working off, but I'm getting l

diskwad3   124   3 Replies

bio_man

Simplify [(3x^4)^6-m] (1/x)^m

Simplify [(3x^4)^6-m] (1/x)^m

I know that you would have to use the formula/rule (a^n)^m = a^n x m but not sure how to apply it in this situation.

emilyliv   126   8 Replies

bio_man

Prove the following Trig Identities

Prove the following Trig Identities

1. a) sin(x+y)sin(x-y) = sin^2x - sin^2y
    b) 2csc2xtanx/secx = sec x

marinejas   127   4 Replies

marinejas

Use the appropriate compound angle formula to determine the exact value of each expression.

Use the appropriate compound angle formula to determine the exact value of each expression.

The tan is a lot easier since its easy to calculate or solve all together
a) sin (pi + pi/6)
What I did so far,
sin (a+b) = sinacosb + cosasinb
sin (pi + pi/6) = sin pi cos pi/6 + cos pi sin pi/6
        &

marinejas   128   2 Replies

marinejas

Solve the following equations:

Solve the following equations:

Solve the following equations for theta, 0 ≤ theta ≤ 2pi.
a) 7sin^2theta + 2cos2theta = 3 - 2sintheta
b) 5cos2theta = 3cos2theta - √3

marinejas   129   6 Replies

marinejas

Find all points of intersection of the graphs of and .

Find all points of intersection of the graphs of and .

please see the attachments

ccnnieeee   132   1 Reply

bio_man

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

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   135   1 Reply

bio_man

Jim is riding a Ferris Wheel,where t time in seconds. Explain what each of the following represent

Jim is riding a Ferris Wheel,where t time in seconds. Explain what each of the following represent

a) h(10), where h(t) = 5cos(18t)°
b) h(10), where h(t) = 5sin(18t)°

emilyliv   138   3 Replies

bio_man

Graph one complete cycle for the following function

Graph one complete cycle for the following function

Graph one complete cycle for the following function.

y=-3 sin(2x- π/3)

Calculate the period and phase-shift, and find the coordinates of the y-intercept, starting and end point of the cycle. Label your graph’s amplitude, period

chementhusiast   139   1 Reply

bio_man

Determining the equation of a triangle median

Determining the equation of a triangle median

May someone please help me with this question?


1) A triangle has vertices K(-1,5), L(2,7) and M(4,-3). Determine the equation of the median KN.


My teacher clarified that it is indeed KN and not KM. He said to draw a

theepicseal   139   1 Reply

bio_man

Solve the following equations

Solve the following equations

a) 2sin x + 1 = 0,0 ≤ x ≤ 2pi
b) 3(tan x + 1) = 2,0 ≤ x ≤ 360
c) 2sinxcosx = cos2x, 0 ≤ x ≤ 2pi
d) sin2x = 1/√2, 0 ≤ x ≤ 2pi

marinejas   141   3 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   142   4 Replies

chibi

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

Finding the length given total distance and distance longer than other point

Finding the length given total distance and distance longer than other point

May anyone solve this question for me?

1) lake A is 1056km longer than lake B. the total length of the two lakes is 7426km. find the length of each lake

Thanks in advance!

theepicseal   143   1 Reply

bio_man

Solve: F(x)=3x+1+1/x+1

Solve: F(x)=3x+1+1/x+1

Hey people, I was just wondering how I would solve this function: \(f\left(x\right)=3x-1+\frac{1}{x+1}\). I found the answer online and the steps, but the first step that it says to do is to multiply everything by (x+1), and I've

S.v   144   4 Replies

bio_man