Slope is used to construct wheelchair ramps, roads and stairs, according to the University of Regina's Math Central website. Slope is a way of describing the steepness of an object. Give two practical examples of how is slope used in real life?

Use the factor theorem to show that x+2 is a factor of f(x). The find all real zeroes for the polynomial given that x+2 is a factor of f(x). f(x) = x^3 -5x^2 -2x +24

A company needs to purchase larger aircraft. The options included 20 of type A​ and/or type B aircraft. To aid in their​ decision, executives at the company analyzed the following data. Type A Type B Direct Operating Cost ​$1600 per hour ​$500 per hour Payload 32 comma 000 pounds 4000 pounds The company was faced with the following constraints. ​1) Hourly operating cost was limited to ​$40 comma 000. ​2) Total payload had to be at least 512 comma 000 pounds. ​3) Only twenty type A aircraft were available. Given the​ constraints, how many of each kind of aircraft should the company purchase to maximize the number of​ aircraft? To maximize the number of​ aircraft, the company should purchase nothing type A aircraft and nothing type B aircraft.

please solve this systems of equations step by step, you rock:

8.3z=3.6-5.6y

8.3z=5.7+1-(1.2+3.2)x

z=x+y

To attend a local auto show, children admission was $5, adult admission was $9, and senior admission was $7. In all, 149 people attended the show, bringing in a total of $1061 of admission sales. Prior to leaving, every adult and senior filled out one free raffle ticket for a chance to win a new Ferrari. A total of 110 raffle tickets were filled out. How many children attended the show? How many adults attended the show? How many seniors attended the show?

• The range of f is the domain of g and the domain of f is the range of g.
•

f(a) = b if and only if g(b) = a.

•

(a, b) is on the graph of f if and only if (b, a) is on the graph of g.

The function

f(x) = x³ + 7x + 5

is one-to-one. Since finding a formula for its inverse is beyond the scope of this textbook, use Properties of Inverse Functions Theorem to help you compute

f ⁻¹(5), f ⁻¹(13), and f ⁻¹(−3).

256. The equation y − 5 = m(x − 2) represents a line, no matter what value m has. (a) What are the x- and y-intercepts of this line? (b) For what value of m does this line form a triangle of area 36 with the positive axes? (c) Show that the area of a first-quadrant triangle formed by this line must be at least 20.

f(x)= (4x)/(x²-4)

Domain

Vertical Asymtote

Horizontal Asymtote

slant asymptote

I need the same answer but change some words

The value used is mean the estimator. The average of the population can be estimated punctually by the mean of the sample: .
The proportion of the population can be estimated punctually by the proportion of the sample: . The standard deviation of the population can be estimated punctually by the standard deviation of the sample, although there are better estimators: . Point of estimate for mean calculated is 36.4.
The normal distribution is the continuous distribution that is most commonly used in statistics. Many continuous variables common in the business world have distributions that closely resemble the normal distribution. The normal distribution serves to approach different distributions of discrete probability, such as the binomial distribution and the Poisson distribution. The normal distribution provides the basis for classical inferential statistics by its relation to the central limit theorem. In the normal distribution, one can calculate the probability that several values ??will occur within certain ranges or intervals. However, the exact probability of a particular value within a continuous distribution, such as the normal distribution, is zero.
The standard normal distribution, or typified or reduced, is that which has the mean value zero, ? = 0, and by standard deviation the unit, ? = 1. The probability of the variable X will depend on the area of ??the enclosure shaded.

A movie theater has at most 90 seats available. Each adult movie ticket costs $14, and each child movie ticket costs $8. To make a profit, the theater must bring in more than $852 in ticket sales per show. A) In terms of A and C, write an inequality that represents the restriction on total occupancy. B) In terms of A and C, write an inequality that represents the restriction on total ticket sales. C) Make a graph that represents your inequalities. D) Which scenario satisfies the restriction on total occupancy but does not produce enough ticket sales? E) Which scenario does not satisfy the restriction on total occupancy but does produce enough ticket sales? F) Which scenario does not satisfy the restriction on total occupancy but does produce enough ticket sales? G) Which scenario satisfies the restriction on total occupancy and also produces enough ticket sales? 

At 9 cents per kilowatt-hour of electric power. Analyze how much money you would save in a year (365 days) if you went from non-energy efficient to energy efficient appliances. Calculate how much per appliance and then a total of your savings. appliance washing machine- usage per day 1 hours, watts used per hour 3000 watts washing machine usage per day 1 hours, watts used per hour 1500 watts Refrigerator usage per 24 hours watts per hour 100 Refrigerator usage per 24 hours watts used per hour 75 Dishwasher usage per day 1 hour watts used per hour 1500 watts Dishwasher usage per day 1 hour watts used per hour 1200 watts

Let S(t) be the price of dollar at time t, i.e. the number of euros per dollar. The behavior of S(t) through time is modeled by ??(?) ?(?) = ??? + ???(?) for a standard Brownian motion and real value µ and σ > 0. Now, let ?(?) = 1 ?(?) be the exchange rate of euro against the dollar. Show that U(t) satisfies the following stochastic differential equation. ??(?) ?(?) = (?2 − ?)?? − ???(?) # please help me with this question in detail, in an organized way . And please do not simply copy other's solution#

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

cos(θ) − sin(θ) = 1

Your farm encompasses 500 acres, and you are planning to grow soybeans, corn, and wheat in the coming planting season. Fertilizer costs per acre are: $5 for soybeans, $2 for corn, and $1 for wheat. You estimate that each acre of soybeans will require an average of 5 hours of labor per week, while tending to corn and wheat will each require an average of 2 hours per week. Based on past yields and current market prices, you estimate a profit of $10,500 for each acre of soybeans, $7,000 for each acre of corn, and $3,500 for each acre of wheat. You can afford to spend no more than $3,000 on fertilizer, and your farm laborers can supply 3,000 hours per week. How many acres of each crop should you plant to maximize total profits?

In this event, will you be using all the available labor?

Yes No    

Let g(x)=−6x^6+29x^5+126x^4+135x^3+576x^2+76x−96. Given that -2i is a root of g(x) and that g(x) has at least one rational root, find all the real roots of g(x) in increasing order.