The Harris-Benedict equation estimates the number of calories your body needs to maintain your weight if you do no exercise. This is called your basal metabolic rate, or BMR
The calories needed for a woman to maintain her weight is;
BMR = 655 + (4.3 × weight in pounds) + (4.7 × height in inches) − (4.7 × age in years)
The calories needed for a man to maintain his weight is
BMR = 66 + (6.3 × weight in pounds) + (12.9 × height in inches) − (6.8 × age in years)
A typical chocolate bar will contain around 230 calories. Write a
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- One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.arrow_forward(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ftarrow_forwardWhen you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)arrow_forward
- (Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.arrow_forward(Transportation) Road construction requires estimating the expected loads on a road’s pavement over its design life. A common approach for determining this information is to use ESAL values; one ESAL is the load a single 18,000-lb (80,000 N) single-axle truck applies to the road’s surface. The ESAL value for any single-axle vehicle can be approximated by this formula: ESAL=[W18,000]4 ESAL is the equivalent single-axle load. W is the vehicle’s weight (lbs). Using this formula, write, compile, and run a C++ program that determines ESAL values and use it to complete the following chart. The ESAL values should be output in a field width of 10, with six digits after the decimal point.arrow_forwardThe mitotic index is a calculated value that represents the percentage of cells in a sample that are actively dividing. It involves counting the total number of cells present including those actively dividing or those in interphase, the total number of cells that are actively dividing (not including interphase), and then calculating what percentage of the total cells are actively dividing (the percentage undergoing mitosis). The formula is: Mitotic index= # of cells in mitosis / # of cells in total x 100% Use this formula to calculate the mitotic index for the diagram seen in Question 5. Show your calculations (you can use * for multiplication and / for division if you prefer) and indicate your final answer as a percentage rounded to the nearest tenth of a percentage (1 decimal place). Note: The mitotic index seen in this simulation is much higher than you would see in a real tissue sample. The sample was simulated this way so that the counting and calculations would be easier…arrow_forward
- Context: Measuring Air Quality Levels of various air borne pollutants such as Nitrogen Monoxide (NO), Nitrogen Dioxide (NO2) and particulate matter (also called particle pollution) are all major contributors to the measure of overall air quality. For instance, NO2 is measured using micrograms in each cubic metre of air (㎍/m3). A microgram (㎍) is one millionth of a gram. A concentration of 1 ㎍/m3 means that one cubic metre of air contains one microgram of pollutant. To protect our health, the UK Government sets two air quality objectives for NO2 in their Air Quality Strategy The hourly objective, which is the concentration of NO2 in the air, averaged over a period of one hour. The annual objective, which is the concentration of NO2 in the air, averaged over a period of a year. The following table shows the colour encoding and the levels for Objective 1 above, the mean hourly ratio, adopted in the UK. Index 1 2 3 4 5 6 7 8 9 10 Band Low Low Low Moderate Moderate Moderate High…arrow_forwardThe quadratic formula is used to solve a very specific type of equation, called aquadratic equation. These equations are usually written in the following form:ax2 + bx + c = 0The Quadratic Formula x = ( -b ± √( b^2 - 4ac ) ) / ( 2a ) Where a, b, and c are constants with a ≠ 0. (If a = 0, the equation is a linear equation.)The discriminant is the part of the formula in the square root. If the value of the discriminant is zero then the equation has a single real root. If the value of thediscriminant is positive then the equation has two real roots. If the value of thediscriminant is negative, then the equation has two complex roots.Write a program that finds the roots of the quadratic equation using the Quadratic Formula. Write a function named discriminant in the file, Disc.py, to calculate and return the discriminant of the formula. Let the main function call the discriminant function and then calculate the solution(s) of the equation. Do not calculate the solutions in the discriminant…arrow_forwardMatlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to 125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-gt², t20 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t = tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, max, when the height function, h(t), attains a maxima, compute the time at which this occurs, max, and the maximum height,…arrow_forward
- Suppose you wanted to harness to power of wind to generate electricity. One question you might want to ask is: what is the amount of power my wind turbine can produce? To answer this question, you will need at least the following information: The average wind speed (in m/s) The operating efficiency of your wind turbine (in %) The radius of the blades on your wind turbine (in meters) To compute the maximum power output for your wind turbine, you would need the following math formulas: A= πr2, which represents the cross-sectional area of a circle (π = 3.14159265). Pmax = 0.5ρAv3, which calculates the maximum available power given the wind speed in m/s (ν), cross-sectional area of the blades in m2 (A), and the density of the air (ρ = 1.2 kg/m3). Once you have the maximum available power, computing the actual amount of power (not the maximum) produced by the wind turbine is a matter of determining the amount of power based on the operating efficiency. Exercise #1: Create a Java class…arrow_forwardMatlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of t125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)- ho+vot-gt², t20 where g = 9.81 m/s². The time t=0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of himax meters at time t-tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, tmax, and the maximum…arrow_forwardDesign an algorithm to find the weighted average of four test scores. The four test scores and their respective weights are given in the following format: (9) test Scorel weight Test Scorel For example, sample data is as follows: 75 0.20 95 0.35 85 0.15 65 0.30arrow_forward
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