Math

(1) A skier is enigmatical to flow whether or not to buy a duration ski by. A daily by consumes $67. A duration ski by consumes $350. The skier would possess to divulsion skis delay either by for $25 per day. Using rectirectilinear equations, interpret the system to furnish how frequent ski days it would grasp the skier to produce the duration by short dear than daily byes.

(2) Ace Manufacturing has fixed that the consume of strive for conceding transmissions is dollars, suitableness the consume of materials is dollars.

a) Transcribe a polynomial that denotes the aggregate consume of materials and strive for conceding transmissions.

b) Using the webstanding https://www.desmos.com/calculator, graph the polynomial , using the settings 0 to 1000 (trudge 100) for the x-axis and 0 to 1,000,000 (trudge 100,000) for the y-axis. Do not use commas in any of the whole. Share the graph by exporting and downloading the idea. Include the graph as divorce of your disentanglement.

c) Using the business and the graph, interpret the system to furnish the aggregate consume for conceding 500 transmissions.

d) Verify the confutation from the prior quantity by furnishing the consume of strive and consume of materials for conceding 500 transmissions.

(3) The area of a rectangle is copyed by the polynomial clear units. The width of the rectangle is copyed by the polynomial units. Showing all is-sue, transcribe a polynomial that denotes the tediousness of the rectangle.

(4) In 2012, Affiliation Sandy struck the East Coast of the United States, killing 147 commonalty and causing an affectd $75 billion dollars in loss. Delay a gale transversion of environing 1,000 miles, it was the largest always to frame balance the Atlantic Basin. The accompanying postulates denote the affect of elder affiliation strikes in the Atlantic Basin (state 3, 4, or 5) each decade from 1921 to 2010.

Decade,Major Atlantic Basin Hurricanes
1921–1930, 117
1931–1940, 216
1941–1950, 329
1951–1960, 433
1961–1970, 527
1971–1980, 616
1981–1990, 716
1991–2000, 827
2001–2010, 933

The polynomial business copys the affect of elder Atlantic Basin affiliations from the duration duration fond in the consideration aloft.

a) Using the webstanding https://www.desmos.com/calculator, graph the polynomial using the settings 0 to 10 (trudge 1) for the x-axis and 0 to 40 (trudge 5) for the y-axis. Share the graph by exporting and downloading the idea. Include the graph as divorce of your disentanglement.

b) Using the copy and showing all is-sue, affect the affect of elder Atlantic Basin affiliations between 1961 and 1970. Does this balanceaffect or underaffect the explicit postulates shown in the consideration? By how greatly?

c) Using the copy and showing all is-sue, foreshadow the affect of elder Atlantic Basin affiliations between 2011 and 2020. Is your effect sound?

d) The graph shows durations of increasing and durations of decreasing. Based on the graph sole, encircling what year did the affect of elder Atlantic Basin affiliations set-on-foot to curtail? Explain. Encircling what year did the affect of elder Atlantic Basin affiliations start to acception frequently? Explain.

(5) A balloonist throws a sandbag downward at 24 feet per prevent from an ascent of 720 feet. Its crisis (in feet) aloft the reason following prevents is fond by .

a) What is the crisis of the sandbag 2 prevents following it is thrown? Explain.

b) How crave does it grasp for the sandbag to stretch the reason? Explain.

(6) A offal injected into a enduring and the energy of the offal in the classstream is monitored. The offal’s energy, , in milligrams per liter, following hours is copyed by .

a) Use the standing https://www.desmos.com/calculator to inhale the graph of this business. Once you mark the business in the cell (loftier left), click the strain mark in the loftier proper (graph settings) and produce the -axis from 0 to 10 (trudge 1) and the -axis from 0 to 3 (trudge 1). Share the graph by exporting and downloading the idea. Include the graph as divorce of your discourse.

b) Using the graph, interpret what happens to the offal energy in the classstream balance duration.

c) Explaining the system, furnish the offal’s energy following 3 hours.

d) What is the leading energy of the offal in the classstream and when does it grasp establish? Explain.

(7) The sonar of a Navy cruiser detects a submarine that is 2500 feet detached. The subject-matter on the insinuate at-once aloft the submarine is 1500 feet detached from the cruiser. What is the profoundness of the submarine? Explain.

(8) The polynomial business copys a man’s ordinary systolic class influence, , at age . Showing all is-sue, furnish the age, to the direct year, of a man whose ordinary class influence is 125 mm Hg. Interpret why one of the disentanglements is not pertinent.

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