Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.

5) -3 < 4 p - 3 ? 13

WHY DO I NEED TO STUDY POLYNOMIALS? HAVE I EVER GOING TO USE IT? JOBS THAT USE POLYNOMIALS Visit the following site, read and give an example of your understanding use of polynomials in your job or any example you have. https://careertrend.com/list-6330381-jobs-use-polynomials.htm (Links to an external site.)Links to an external site.l

A massive oil spill in the gulf unleashes approximately 20,311 barrels of oil into the Gulf each hour. This creates an expanding circular layer of oil on the water’s surface about 1/16 inches thick with the center being the source of the spill. Letting R(t) represent the radius (in miles) t hours after 6:00pm, the growing radius of this oil spill can be modeled by the formula: R(t)=1/2 √(t+1) A.) What time did this spill start? (When was the radius zero?) B.) Fill in the table below: (round your answer to 2 decimal places) Table 1 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 R(t) miles C.) If left unchecked, how long will it take this oil spill to reach a 2 mile radius? The nearest containment crew is on the Louisiana coast 50 miles away. At 6:00 pm, containment vessels instantly head towards the center of this spill, but the fastest these containment ships can travel is only 15 mph. D.) Write an equation that represents the distance D(t) in miles that the containment vessel is from the center of the spill t hours after 6:00 pm. E.) Fill in the table below: Table 2 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 D(t) miles F.) When will the containment vessels reach the center of spill? G.) By observing the two tables above, in which 30 minute interval will the containment vessels reach the outer edge of the spill? H.) Algebraically find exactly (to the nearest minute) when the containment vessels will reach the outer edge of the oil spill. You should get two answers…explain them. I.) What is the radius of the oil spill at this time? J.) To manage the spill, one containment vessel is needed every 800 feet around the outer circumference of the spill. How many vessels do they need? (5280 ft. = 1 mile)

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?