# Pre- Calculus

21,152 results, page 14

### Pre-Calculus

help please Identify the slope and intercept of the following linear equation. y=3/7x-5 Slope: 3/7; intercept: 5 Slope: -5; intercept: 3/7 Slope: 5; intercept: 3/7 Slope: 3/7; intercept: -5

### Pre-Calculus

The Hotel Bellville has 400 rooms. Currently the hotel is filled . The daily rental is $ 250 per room. For every $ 14 increase in rent the demand for rooms decreases by 5 rooms. Let x = the number of $ 14 increases that can be made. What should x be so as to maximize the ...

### Pre-Calculus

I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z

### Pre-Calculus

A gardener has 100' of edging. She wants to use it to enclose a 130 square foot rectangular area; she does not have to use up all of the edging. What are the possible lengths that a side of the rectangle can have? Answer using interval notation. Hint: If the length of the ...

### Pre-Algebra: Help

I have to do a webquest for pre-algebra and we have to make up a fundraiser thing, I need a list of things that one needs for a charity fundraiser, such as chairs, buffet tables, tables, tents, tablecloths. HELPP

### Pre-Calculus-check answers

State the period and phase shift of the function y=-4tan(1/2x + 3pi/8) a) 2pi, -3pi/4 b) pi, 3pi/8 c) 2pi, 3pi/8 d) pi, -3pi/8 Answer: d 2) What is the equation for the inverse of y=cos x+3: a) y=Arccos(x+3) b) y=Arccos x-3 c) y=Arccos x+3 d) y=Arccos(x-3) Answer:d Thanks for ...

### Pre-Calculus-check answers

How many ways can 5 students be chosen from a group of 4 juniors and 6 seniors to be on the prom committee if exactly 3 students must be seniors? Answer: 5400 Find the probability of getting a sum of 5 on the first toss of two number cubes and a sum of 6 on the second toss. ...

### pre-calculus

solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the orginal logarithmic expression. In square root of x+2=2 (If I try to make the square root sign it will not come out right so I wrote it out instead) What is the exact solution. A...

### Pre-Calculus

A drug manufactured by a pharmaceutical company is sold in bulk at a price of $150 per unit. The total production cost (in dollars) for x units in one week is C(x) = 0.02x^2 + 100x + 3000. How many units of the drug must be manufactured and sold in a week to maximize the ...

### pre calculus

I believe that the domain for f(x) = log subscript 3 (1-x) is x is a real number I think the range for the same equation is y > 1 . the domain of log (1-x) would be such that 1-x > 0 -x>-1 x < 1 whereas the range would be y is any real number Have you considered ...

### Pre-Calculus-Trig

A straight road slopes at an angle of 10 degrees with the horizontal. When the angle of elevation of the sun (from horizontal) is 62.5 degrees, a telephone pole at the side of the road casts a 15 foot shadow downhill, parallel to the road. How high is the telephone pole?

### Pre Calculus

Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°

### Pre-Calculus

Sales of ski equipment varies through the year from highs in January & December of $20 million, to a low in June of $2 million. Write a trigonometric function that describes this cycle. Calculate the expected sales for April. I think I got the first part: 9cos(pi/6) + 11 I am ...

### pre-calculus 11

an object has a mass of m= 3x/4x^2 and density of d=x-1/2^2 where ve m/d and state any restrictions on the variable. So this simplifies to v=3x/2x-2 my question is the restriction i have found is x cannot be 1 which would make the denominator zero. Do I have to be concerned ...

### Pre Calculus

The population P of a culture of bacteria is described by the equation P = 1600e^0.052t where t is time, in hours, relative to the time at which the population was 1600. (a) What was the population at t = 6 hours? Show your work. (b) After how many hours will the population ...

### Calculus

What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the cycloid is the solution but I need a simple calculus proof as to why this is the case)

### Pre Calculus

please help me with this problem? I don't know how ro do it. please show me step by step. Write the slope intercept form the equations of the lines through the given point parallel to the given line and (B) perpendicular to given line. point slope ((7,-2) m= 1/2

### Honors Pre-Calculus

You are traveling in a car toward a certain mountain at a speed of 80km/hr. The apparent size of the mountain is .5degrees. Fifteen minutes later the same mountain has an apparent size of 1 degree. About how tall is the mountain? I believe you must convert the degrees to ...

### Pre-Calculus

Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z

### Pre-Calculus

The population of a particular type of bacteria doubles in number every 12 hours. a)if there are 8 bcteria initially, write an equation that models the number of bacteria present after x 12 hours. b)How many bacteria will be present after 5 days? by using this formula N(t)=N0(...

### pre-calculus

How do you write the standard form of the equation of the line passing through the points M(-4,-2) and N(4,7)? How do you find the slope-intercept form of the equation of the line passing through the points P(2,-9) and Q(3,-7)?

### pre-calculus

How do you write the standard form of the equation of the line passing through the points M(-4,-2) and N(4,7)? How do you find the slope-intercept form of the equation of the line passing through the points P(2,-9) and Q(3,-7)?

### math 10 pre calculus

12. An avalanche rescue team travels 8.55 km along a snow-covered trail. For the first section, the trail is flat. The team averages a speed of 2.7 km/h. Then, the terrain becomes mountainous and their average speed is only 1.2 km/h. The one-way trip takes the team 4.0 h. ...

### Pre Calculus 1

thirty percent of a radioactive substance decays in four years. assuming the decay is exponential, find the half life of the substance. the beginning of 1975 the population of a country was 40 million and growing at a rate of 3% per year. Assume that the growth is exponential...

### Pre-Calculus

Find the twelfth term of the geometric sequence: 1/16, 1/8, 1/4.... Common ratio: 1/2 I got the ratio by dividing 1/16 by 1/8 which gave me 1/2 and I divided 1/8 by 1/4 to get 1/2-----That is how I got a common ratio of 1/2. In order to obtain the 12th term I think I messed up...

### Pre Calculus

a biologist has three salt solutions: some 5% solution, some 15% solution, and some 25% solution. She needs to mix some of each to get 50 liters of 20% solution. She wants to use twice as much of the 5% solution as the 15% solution. How much of each solution should she use? I'...

### Pre Calculus 2

A ship regularly travels between two ports that are 350 miles apart. When traveling directly from A to B, the ship sails on a bearing of . However, to avoid a storm, one day the ship leaves A on a bearing of and travels for 6 hours at 17mph. When the bad weather has passed, it...

### math

8. In an interview of 50 math majors, 12 liked calculus and geometry 18 liked calculus but not algebra 4 liked calculus, algebra, and geometry 25 liked calculus 15 liked geometry 10 liked algebra but neither calculus nor geometry 2 liked geometry and algebra but not calculus. ...

### pre calculus

find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number of turning pointsof the graph of f. d.) ...

### Pre-Calculus

Tommy is building a rectangular playpen for his pigs where one side of the play area is a side of his barn. He has enough material to make a fence with a total length of 160 feet. write a función that represents the playpen's área in terms of its length perpendicular to the ...

### Pre-calculus.

Wesley and Delia are playing a math game. Wesley gives Delia these step to follow. Step 1: Multiply a number by 6 and then subtract by 4. Step 2: Divide the result by 2 Step 3: Add 3 to the result from the second step. If Delia's final answer is 19, What was the original ...

### accounting

I am showing a $8100 debit balance on prepaid insurance at the end of august. The pre-paid insurance was purchased in Feb. for 12 months. what should my adjusting entry to pre-paid insurance be for the month of Sept. which is the end of my fiscal year? Those are the only ...

### Pre calculus

Find the domain of the function. f(x) = sqrt 6-x A. (-∞, 6) (6, ∞) B. (-∞, sqrt6 ) (sqrt 6 , ∞) C. (-∞, sqrt6] D. (-∞, 6]

### Chemistry

Consider the data below Temperature (0C) Diffusivity (m2/s) 736 2 x 10-13 782 5 x 10-13 835 1.3 x 10-12 Given this data, determine the activation energy for the diffusion process (units of Joules per atom or molecule) in this material and the pre-exponential factor (use units ...

### pre-calculus

While pulling a stalled car, a tow truck's cable makes an angle of 50 degrees above the road. If the tension on the tow truck's cable is 1600 newtons, how much work is done by the truck on the car pulling it 1.5 kilometers down the road? The answer is 1,542,690 N . m I don't ...

### Pre-Calculus

Let f(x) be the function 1/(x+9). Then the quotient [f(5+h)−f(5)]/h can be simplified to −1/(ah+b). What does a and b equal to? So I understand the overall concept, and did f(5+h) = 1/(14+h) and f(5) = 1/14. Then to subtract the two, you get the common denominator ...

### pre-calculus 11

I have a question that two ski decide to have a race. I need show a graph of height versus time of the two skiers going over a jump. I am assuming that both skiers graphs would be parabola's and have a maximum height with both graphs opening downward.

### Pre-calculus

A surveyor sets a stake and then walks 150 feet north, where she sets a second stake. She then walks 300 feet east and sets a third stake. How far from the first stake is the third stake? Round to the nearest tenth. Thanks for your help.

### Pre-Calculus

Draw the picture and find the area of the parcel of land. Circle your to partial areas and your total area. You start herman a corn and walk 300 yards due north. Then, you turn N 63 degrees E and walk 260 yards. Then, you turn S 55 degrees E and walk 240 yards. Then, you walk ...

### Pre-calculus-check answers

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### Pre-Calculus

A manufacture has been selling 1050 television sets a week at 360 dollars each. A market survey indicates that for each 20 -dollar rebate offered to a buyer, the number of sets sold will increase by 200 per week. p(x)=1x/10 + 465 How large of a rebate should the company offer ...

### pre-calculus

I have absolutely no idea even where to start. Please help! The carnival has come to town with a ferris wheel that has a radius of 30 feet. People get on when passenger compartments are at the lowest, 2 feet off the ground. The wheel makes a full revolution in 20 seconds. ...

### pre-calculus

Assume that the number of bacteria follows an exponential growth model: P(t)=P0ekt . The count in the bacteria culture was 900 after 20 minutes and 1600 after 30 minutes. (a) What was the initial size of the culture? (b) Find the population after 80 minutes. (c) How many ...

### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for an inverse function ...

### physics

A spring is manufactured with a pre-load. A force of 34.5 N compresses the spring by 1.5 cm. A force of 57.0 N stretches the same spring 0.03 m. Find the spring constant k (in N/m) and pre-load Fi (in N) that satisfies the linear equation describing this force, F = kx + Fi. F...

### pre-calculus 11

I have the question y=-|x^2 -9| I am asked for the piecewise function. I have written y={-x^2 +9 if x less than equal to -3} { x^2 -9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing the signs I have is if I plug a ...

### pre-calculus 11

I have the question y=-|x^2 -9| I am asked for the piecewise function. I have written y={-x^2 +9 if x less than equal to -3} { x^2 -9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing the signs I have is if I plug a ...

### Honors PRE CALCULUS

Three different weights are suspended from three different springs. Each spring has an elasticity coefficient of 18.5. The equation for the vertical displacement is y= 1.5cosine(t times the square root of k/m), where t is time, k is the elasticity coefficient, and m is the ...

### Honors PRE CALCULUS

Three different weights are suspended from three different springs. Each spring has an elasticity coefficient of 18.5. The equation for the vertical displacement is y= 1.5cosine(t times the square root of k/m), where t is time, k is the elasticity coefficient, and m is the ...

### Math/Pre-calculus

Assume that the number of bacteria follows an exponential growth model: P(t)=P0e^k/t. The count in the bacteria culture was 400 after 10 minutes and 1500 after 35 minutes. (a) What was the initial size of the culture? (b) Find the population after 85 minutes. (c) How many ...

### Math, Pre-Calculus.

A postal airplane leaves lsland A and flies 91 miles to Island B. It drops off and picks up mail and flies 63 miles to lsland C. After unloading and loading A- mail, the plane returns to lsland A at an average rate of 300 miles per hour. How long does it take the pilot to ...

### Pre-Calculus

Each second after shut-off, the speed of the blade is 2/3 of the speed in the previous second. After the first 8 s, the saw has turned 258 times. What was the speed of the saw before the motor shut off, to the nearest tenth of a turn per second? I get 805.4 but I don't think I...

### Calculus grade 12 exam review PLEASE HELP ASAP !!

PLEASE HELP ME! Exam is in an hour and i need to finish this exam pre-test to help me ! consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie] c) determine the ...

### Pre-Calculus

I want to learn how to find the domain, holes, x-intercepts, y- intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if I have been looking over my notes and I just ...

### Pre-Calculus

A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up the wall, how tall is the ladder to the nearest ...

### Pre Calculus 12 urgent

andrew is working on a binomial problem (1/2x-y)^7. He asks u to : i) what the coefficient of the 6th term ii) find the term that has the variabes x^47^3 (ex. 34x^4y^3) iii) find the first three terms of the expansion I really need help with that ^ . I know the powers of A ...

### Pre -calculus

An observer 2 km from the launching pad observes a vertically ascending missile at an angle of elevation of 21 degrees. 5 seconds later the nagle has increased to 35 degrees. What was its average speed during this interval? If it keeps going vertically at the same average ...

### Pre-Calculus

Which one of the following situations would have a graph that is a constant function? (5 points) (Points : 5) The amount of money that someone earning $10.75 per hour would make The total number of days in September each year The amount of rainfall in New York throughout the ...

### Pre-Calculus-check answers

The graph of the equation y=x^3-x is symmetric with respect to which of the following? a) the x-axis b) the y-axis c) the origin d) none of these Answer: c 2) The graph of an odd function is symmetric with respect to which of the following? a) the x-axis b) the y-axis c) the ...

### Pre-calculus

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### pre-calculus

Determine whether the function f(x)[x+1] is odd, even, or neither. Answer: neither odd nor even 2)Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1. Answer: upper bound, 1

### Pre-calculus

C=80,000p/(100-p) A)what happens of the company tries to remove 100 percent of the pollutants? Will it work or will it cost too much? B)draw a diagram to show what the consequences of the last question would be. Label the verticals asymptote(s) and analyze their impact on the ...

### Pre-Calculus

A piece of equipment has cost function C(x)=50x^2 + 1000 and its revenue function is R(x)= 500x - x^2, where x is in thousands of items. What is the least number of items that must be sold in order to break even? 50x^2 + 1000 = 500x - x^2 50x^2 + x^2 + 500= 0 51x^2 + 500 = 0 ...

### Pre Calculus

In exercise 100, you are given the dollar value of a product in 2005 and the rate at which the value of the product is expected to change during the next 5 years. Use this Info. to write a linear equation that gives the dollar value V of the product in terms of the year t. (...

### Pre-Calculus

(not sure how to type square root of) square root of 3x - 4 = (x-4)^2-3 Normally, I either take the square root of both sides or I square both sides. Since one side of the equation is square root of 3x-4 and the other side is (x-4) squared - 3, I am confused on how to go about...

### Pre-Calculus

Big Bob is trying to shape up for the summer. He begins on the first day of his exercise program with 3 sit ups. Each day he will do 4 more sit ups than the day before. On what day will Big Bob do 115 sit ups?

### statistics

Pre study scores versus post-study scores for a class of 120 college freshman english students were considerated. The residual plot for the least squares regression line showed no pattern. The least square regression line was y = 0.2 + 0.9x with a correlation coefficient r = 0...

### Pre-Calculus

74. Road Grade When driving down a mountain road, you notice warning signs indicating that it is a "12% grade." This means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation markers that you have ...

### Pre-Calculus/Trig Check please and help

Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation? (x+2i)(x-5)(x-2i)(x+8) = 0 I think the roots are -2i,5,2i,-8-you take out the roots as opposites of what are in the equaion ...

### pre-calculus

An open box is made from a square piece of material 36 inches on a side by cutting equal squares from the corners and turning up the sides. Use your calculator to find the maximum volume this box can hold. I got the equation 4x^3-36x^2+1296x = V But when I put it in the ...

### Pre Calculus 12

The height h, in metres, above the ground of a car as a ferris wheel rotates can be modelled by the function h(t) = 18cos(πt/80) +19 what is the minimum height of a car? do i like subtract 19 from 18 ? what is the maximum height of a car? do i add the 19 to 18? how long ...

### Pre-Calculus

A person flying a kite holds the string 4 feet above ground level. The string of the kite is taut and makes an angle of 60° with the horizontal (see the figure). Approximate the height of the kite above level ground if 500 feet of string is payed out. (Round your answer to ...

### pre-calculus

Almonds cost fiver per pound and cashews cost nine per pound. How many pounds of almonds should be mixed with the cashews to make 10 pounds of a mix that sells for eight dollars per pound?

### Pre-Calculus

The period T (in seconds) of a simple pendulum is a function of its length l (in feet), given by T(l) = 2pi sq root of l/g, where g = 32.2 feet per second per seconds is the acceleration of gravity. Express the length l as a function of the period T. If T=2pi*sqrt(l/g) then do...

### pre - CALCULUS

Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + y = 8 6x + 3y = 24 A. system is inconsistent B. system contains dependent equations b ?

### Statistics

In Professor White’s statistics course the correlation between the students’ total scores before the final examination and their final examination scores is r = 0.9. The pre-exam totals for all students in the course have mean 275 and standard deviation 50. The final exam ...

### Science 7R

Tomorrow I have a science test on circulatory system and is there a practice test THAT IS ON 7TH GRADE SCIENCE REGENTS LEVEL!?!? please i really want to do well on the test if take a pre-test thanks ;) btw --- i'm going over my notes for the test just that i want to take a pre...

### Science(pre-med)

In pre-med we are making powerpoints about the anatomy and physiology of the cardiovasculary syemstem and the respiratory system!! So far I finished the cardiovasculary syestem and i am wondering is the Anatomy of a organ the structures that it is composed of, and also is the ...

### Pre Calculus

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity? A. 0.62 feet per second B. 0.31 feet per second C. 37.68 feet per second D. 3.14 feet per second E. 9.42 feet per second

### Pre calculus

Okay, I'm really fuzzy about my log and exponential chapter. For example, solving some exponential equation such as e^3x-7 x e^-2x=4e I assume I start this equation by taking the natural log of both sides, but how will I know just by looking at an equation weather I need to ...

### Pre Calculus

He needs two adjacent rectangular enclosures - he has 300 feet of fencing. a. find a function that models the total area of enclosures with respect to the width of the enclosures. b. write your function in vertex form using the vertex formula. c. what is the largest area that ...

### Pre Calculus HELP!?

The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(t)= 10+2.8sin(2pi/365)*(t-1.35). How many hours of daylight are there on the 100th day of the year? Round the ...

### Pre-calculus

Consider an open-top box constructed from an 8.5 × 11 inch piece of paper by cutting out squares of equal size at the corners, then folding up the resulting flaps. Denote by x the side-length of each cut-out square. a) Draw a picture of this construction, and find a formula ...

### english

Hi. I know this might be kind of a stupid question, but I was wondering if a predecessor follows something or is before it? I thought it was after, but the dictionary definition makes it seem like it is before. Is it before because of the pre? Thank you for using the Jiskha ...

### pre-calculus

Josh fires a catapult 18 ft above the ground with an initial velocity of 25 ft/sec. The misslie leaves the catapult at an angle of degree theta with the hoizontal and heads toward a 40 ft wall 500 ft from the launch site. If the missle is fired at a 20 degree angle, does it ...

### Math: pre calculus

a barn is 150 feet long and 75 feet wide. the owner has 240 ft of fencing and wants to construct two adjacent outdoor pens of identical size along the long side of the barn using the barn as one side of each pen. the owner wants the pens as large as possible. what are the ...

### Pre-Calculus

Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson's ...

### Pre-Calculus

Phil Dawson is a professional place kicker for the Cleveland Browns. On average, he kicks the ball at a 41 degree angle and with an initial speed of 70 feet per second. For future reference, goal posts are 10 feet high in the NFL. a) Write parametric equations to model Dawson'...

### English

Can someone explain to me what does pre released title essay test mean,i dont get it and in my assessment shows that i have pre released title essay test.Please someone tell me what is it.Thanks

### Pre-Calculus

I need help on these problems they are from my study guide and i don't have a clue on how to do these 3 problems and if anyone can show the steps and somewhat explain the steps so i can do it myself next time. 1.) sin25‹cos35‹sin‹35 The answer is ã3/2 2.) tan10...

### pre-calculus urgent

Please help me here as well to clarify more my understanding. Let a1, a2, a3, . . . be a geometric sequence with initial term a and common ratio r. Show that a1^2, a2^2, a3^2, . . . is also a geometric sequence by finding its common ratio. Given that the ratio for a1, a2, a3...

### Pre calculus

In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by 2 cables.The distance from the base of the antenna to the down point DOWN hill is 95 feet. Ignore the amount of cable needed to ...

### Math: Pre-calculus

A rancher wants to build a rectangular pen with an area of 180 . Let W be the width of the pen and L be the length of the pen. a) Find an equation for the perimeter P in terms of W and L . b) Use the given area to write an equation that relates W and L . c) Find the pen ...

### pre-calculus

A company plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24pi cubic inches. If the cost of the material for the bottom is $.30 per square inch and that for the curved sides is $.10 per square inch, ...

### Pre Calculus

A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. ...

### pre calculus

The population of foxes in a certain region over a 2-year period is estimated to be P1(t) = 300 + 50 sin(πt/12) in month t, and the population of rabbits in the same region in month t is given by P2(t) = 4000 + 400 cos(πt/12) . Find the rate of change of the ...

### Pre-Calculus

f(x) = 7x^3 + 8x^2 - 3x + 8 Find f(7) using synthetic division, and list the numbers in the bottom row of the division. My answer: The numbers in the bottom row are 7, 58, 403, and 2829. The answer is 7x^2 + 58x + 403 + 2829/x - 7.

### pre-calculus

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.

### Pre-Calculus

If you solve the following system of equations by substitution, which statement is true? x = z x - 2y + z = 6 2x + y - 2z = 1 A. You can substitute z for x into the second and third equations. B. You can substitute x for z into the second and third equations. C. Both methods ...