Identify which equation does not define a trigonometric function for a point P(x,y) on the unit circle:
A. cott=xy,x=0
B. csct=y1,y=0
C. cost=x
D. sect=x1,x=0
Calculate ingredient amounts for 50 meatballs and compare beef prices at two shops. Verify age-based R3600 distribution for three kids. Analyze number patterns A and B.
Belinda has 400 R5 coins and wants at least 120 left after taking out 56 each week. What inequality models this? Options:
a. 400−56k≤120
b. 400−56k>120
c. 400−56k<120
d. 400−56k≥120
Vuyisanani invested R16 700 at simple interest. At age 21, it grew to R47 929. If interest was 2\% less, what would he earn in 17 years?
a. R26 176,57
b. R31 229,00
c. R25 551,00
d. R5 678,00
Choose the false statement about monomials: 1. A monomial is a number, variable, or product of a number and variables with whole number exponents. 2. −3x4y is a monomial. 3. −3x4y+2xy is a monomial.
Choose the false statement about degrees of polynomials: 1. For 4x3+2x2, the degree is 3. 2. For 2x2−5x4, the degree is 4. 3. For −5x2+10x, the degree is 3.
Choose the false statement about coefficients: 1) It's the number in front of a monomial. 2) It's always a number. 3) It's the number at the end of a polynomial in standard form.
Choose the false statement about polynomials: 1. A polynomial can include whole number exponents. 2. A polynomial can include only addition or subtraction. 3. A polynomial cannot include an equal sign.
Determine which statement about the function f(x)=⎩⎨⎧∣x−3∣6−3x−(x−3)2x<00≤x<3x≥3 is false: A) limx→2f(x)=0 B) limx→3−f(x)=−3 C) limx→0−f(x)=6 D) limx→3+f(x)=0
A clock manufacturer has fixed costs of \7000.Averagecostperclockis\frac{0.4x + 7000}{x}.Findaveragecostsforx=100, 1000, 10,000$. Can they profit if selling at \$1.50 each while producing 2000 clocks?
In a checker game, move colors to switch sides. 1. With 1 checker each, how many moves for blue right, red left? 3 moves 2. With 3 checkers each, find moves needed. 3. Estimate for 2 or 4 checkers, then test. 4. Explain how 3 checkers help with 4. 5. Estimate moves for 7 checkers each.
An ice cream shop aims to sell a mean of 45 cones daily. Given sales: 54, 45, 33, 39, 48, 40, 41. How many more to meet the goal? A. 35 B. 15 C. 25 D. 5
A. A popcorn maker produces 14 cups in 2.5 minutes. 1. Find the unit rate (cups per minute). 2. Fill in the table for minutes 0-4 and popcorn cups. 3. Graph the relationship using the table data. 4. Is there a proportional relationship between popcorn and time? Justify your answer.
A company estimates a 0.3% product failure rate after warranty, costing \400.Ifa2−yearwarrantycosts$57,findtheprofitvaluesx,theirprobabilitiesP(x)$, and the expected value per warranty sold, rounded to the nearest cent.
Which set of pairs does NOT represent a function?
(A) (0,1),(2,2),(4,8),(2,7),(5,8),(7,9)
(B) (−4,2),(−3,2),(−2,2),(−1,2),(0,2),(1,2)
(C) (−3,6),(2,7),(0,5),(1,5),(4,9),(5,4)
(D) (0,1),(2,2),(4,8),(−2,7),(5,8)
Sasha sells T-shirts and earns a set amount plus commission. What is the reasonable domain? (A) all whole numbers (B) 1≤x≤5 (C) all real numbers (D) 68≤x≤80
A jar has 63 marbles: 8 red, 25 blue, 30 green. Draw a marble: win \$20 for red, lose \$10 for blue, lose \$5 for green. 1. Find the expected outcome. 2. Is it profitable to play long-term?
A rifle fires 22LR bullets with speed v=(−5.35×107)t2+(2.30×105)t. (a) Find acceleration a=dtdv and position x=∫vdt. (b) Time of acceleration (s). (c) Speed when leaving barrel (m/s). (d) Length of barrel (m).