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Concept explainers
Describe at least one way that mathematics is involved in each issue below.
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Explanation of Solution
Given:
Example: The spread of AIDS: Mathematics is used to study the probability of contracting AIDS.
- The long term viability of the Social Security system
- The appropriate level for the federal gasoline tax
- National health care policy
- Job discrimination against women or ethnic minorities
- Effects of population growth (or decline) on your community
- Possible bias in standardized tests (e.g., the SAT)
- The degree of risk posed by carbon dioxide emissions
- Immigration policy of the United States
- Violence in public schools
- Whether certain types of guns or ammunition should be banned
- An issue of your choice from today’s news
- The long-term viability of the Social Security system:
- The appropriate level for the federal gasoline tax:
- National health care policy:
- Job discrimination against women or ethnic minorities:
- Effects of population growth (or decline) on your community:
- Possible bias in standardized tests (e.g., the SAT):
- The degree of risk posed by carbon dioxide emissions:
- Immigration policy of the United States:
- Violence in public schools:
- Whether certain types of guns or ammunition should be banned:
- An issue of your choice from today’s news:
Mathematics is used to study of statistics of how long the Social Security system is capable.
Mathematics is used to study excise tax on gasoline per gallon.
Mathematics is used to study statistics of what type of health care policy required in the state.
Mathematics is used to study workplace gender discrimination in the country.
Mathematics is used to study fertility, mortality, and migration trends to make projection about population growth and decline.
Mathematics is used to study probability of the undeserved students who are getting admission through standardized tests.
Mathematics is used to study the probability of death cases due to carbon dioxide emissions.
Mathematics involved in this case calculating the total transit of people across its borders into the country, and we can calculate the total people who intend to work and who stay in the country.
Mathematics is used to study the probability of the students involved in the criminal activity.
Mathematics involved calculating the killing cases by certain types of guns or ammunition.
The news states “US has foolishly given Pakistan more than 33 billion dollars in aid over the last 15 years, and they have given us nothing but lies & deceit.”
Mathematics is used to study the total amount went to Pakistan for CSF (Coalition Support Funds) Reimbursement, Security related and Economic Related.
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Chapter P Solutions
USING+UNDERSTANDING MATH.(LL)-W/MYMATH.
- A ladder 27 feet long leans against a wall and the foot of the ladder is sliding away at a constant rate of 3 feet/sec. Meanwhile, a firefighter is climbing up the ladder at a rate of 2 feet/sec. When the firefighter has climbed up 6 feet of the ladder, the ladder makes an angle of л/3 with the ground. Answer the two related rates questions below. (Hint: Use two carefully labeled similar right triangles.) (a) If h is the height of the firefighter above the ground, at the instant the angle of the ladder with the ground is л/3, find dh/dt= feet/sec. (b) If w is the horizontal distance from the firefighter to the wall, at the instant the angle of the ladder with the ground is л/3, find dw/dt= feet/sec.arrow_forwardTwo cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later? Step 1 Using the diagram of a right triangle given below, the relation between x, y, and z is z² = x²+ +12 x Step 2 We must find dz/dt. Differentiating both sides and simplifying gives us the following. 2z dz dt dx 2x. +2y dt dx dy dz x +y dt dt dt 2z dy dt × dx (x+y dt dy dtarrow_forwardAn elastic rope is attached to the ground at the positions shown in the picture. The rope is being pulled up along the dotted line. Assume the units are meters. 9 ground level Assume that x is increasing at a rate of 3 meters/sec. (a) Write as a function of x: 0= (b) When x=10, the angle is changing at a rate of rad/sec. (c) Let L be the the left hand piece of rope and R the right hand piece of rope. When x=10, is the rate of change of L larger than the rate of change of R? ○ Yes ○ Noarrow_forward
- At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?arrow_forward4.1 Basic Rules of Differentiation. 1. Find the derivative of each function. Write answers with positive exponents. Label your derivatives with appropriate derivative notation. a) y=8x-5x3 4 X b) y=-50 √x+11x -5 c) p(x)=-10x²+6x3³arrow_forwardNo chatgpt pls will upvotearrow_forward
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