Math Foundations Questions
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X is only divisibly by Y if the prime factorization of X contains ...
Un nombre est divisible par 10 si son chiffre des unités est 0.
Un nombre est divisible par 2 si son chiffre des unités est 0, 2, 4, 6 ou 8.
Le nombre 1 n'est pas considéré comme un nombre premier car il n'a qu'un seul diviseur, lui-même.
Un nombre est divisible par 5 si son chiffre des unités est 0 ou 5.
Un nombre est divisible par 3 si la somme de ses chiffres est un multiple de 3.
concentration corpusculaire moyenne en hémoglobine
Mikayla walked nine miles in three hours. She walked f miles during the first hour and ! ofthe remaining distance during the second hour. Which of the following functions best represents the number of miles in the third hour, t, she had to walk in terms of the number of miles she walked in the first hour, f?A. t=3B. t=3−1/3fC. t=3+2/3f D. t=3+f
16𝑥! − 8𝑥 − 3 = 0Let x=q and x=r be solutions to the equation shown above, with q>r. What is the value of q−r?
E. coli is among the fastest-growing bacteria, with a generation (or doubling) time of 20 minutes under optimal conditions. After 60 minutes, the number of bacteria in a culture of E. coli was 400. Approximately how many bacteria were in the culture after 30 minutes?A. 50 B. 142 C. 174 D. 200
Anna would like to surround an 8in×10in photograph with a border of uniform width. Let x be the width of the border, in inches. Which of the following functions could she use to determine the area, A, in square inches (in2), of the picture and border combined?A. 𝐴 = (8−𝑥)(10−𝑥)B. 𝐴 = (8−2𝑥)(10−2𝑥)C. 𝐴 = (8+𝑥)(10+𝑥)D. 𝐴 = (8+2𝑥)(10+2𝑥)
Ivy is downloading a computer program from the Internet. After 8 minutes, the computer program is 35% downloaded. If the computer program continues to download at the current rate, about how much longer will it take for Ivy's computer to finish downloadingthe program?A. 12 minutesB. 15 minutesC. 18minutesD. 23minutes
Thomas tosses a ball upward into the air from an initial height of 1.475 meters. The height of the ball above the ground, h, in meters, t seconds after the ball is tossed can be modeled by a quadratic function. If the ball reaches its maximum height of 12.5 meters exactly 1.5 seconds after the ball is tossed, approximately how long will the ball be in the air?A. 1.6 secondsB. 3.0 secondsC. 3.1secondsD. 4.9seconds
From 2004 to 2007, the number of cars produced in China, in thousands, can be approximated by a quadratic function. The minimum production during this time occurred in 2004 with China producing approximately 5234.5 thousand cars during that year. The following year, China produced 5707.69 thousand cars. According to the data, approximately how many cars did China produce in 2006?A. 1893 thousandB. 3815 thousandC. 6181thousandD. 7127thousand
Currently, a local newspaper company sells print subscriptions for $9.30 a month and has2400 subscribers. Based on a survey conducted, they expect to lose 20 subscribers for each $0.10 increase from the current monthly subscription price. What should the newspaper company charge for a monthly subscription in order to maximize the income from the print newspaper subscriptions?A. $1.35B. $9.30 C. $10.65 D. $22.80
According to Bernoulli's equation below, the product of the area, Ā, of a cross-section of a hose at a particular point and the velocity, V1, of water traveling through the hose at that point will be equal to the product of the area, Á, of a second cross-section of the same hose at a second point and the velocity, V2, of water traveling through the hose at the second point.𝐴!𝑉! = 𝐴!𝑉!If someone covers ! of the opening of a hose, how will the velocity of the water comingout of the hose change?A. The velocity of the water through the partially covered opening will be ! of thevelocity through the full opening.B. The velocity of the water through the partially covered opening will be ! of thevelocity through the full opening.C. The velocity of the water through the partially covered opening will be ! of thevelocity through the full opening.D. The velocity of the water through the partially covered opening will be 4 timesthe velocity through the full opening.
The equations 𝑥 + 𝑦 = 3 and −5𝑥 − 5𝑦 = −15 are graphed in the xy-plane. Which of the following must be true of the graphs of the two equations?A. Theslopeofthegraphof 𝑥+𝑦=3 is1andtheslopeofthegraphof−5𝑥−5𝑦=−15 is−1.B. The graphs of the two equations are perpendicular lines.C. The y-intercept of the graph of −5𝑥 − 5𝑦 = −15 is −15.D. The graphs of the two equations are the same line.
The temperature T in degrees Celsius of a chilled drink after m minutes sitting on a table is given by the following function.𝑇 𝑚 = 32−28∙3!!.!"!What is the best interpretation of the number 32 in this function?A. The drink is originally 32 degrees Celsius.B. Every 32 minutes, the temperature warms by 3 degrees Celsius.C. Aftěr2minutes,thedrinkwillfullywarmtotheambienttemperature.D. After sitting for a very long time ,the drink will warm up to 32 degrees Celsius.
−2(𝑥+2)=6−𝑎𝑥In the equation shown above, a is a constant. Which of the following values of a results in an equation with exactly one solution?A. -2B. 2C. Neither valueD. Both values
Members of the wrestling team are planning to sell pre-ordered programs at matches. The cost to print the programs is $150 plus $0.50 per program. They plan to sell each program for $2. If profit is the amount of money earned from selling programs minus the expenses of printing the programs, how many programs must they sell to make a profit of at least $500?A. 260 B. 261 C. 433 D. 434