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General
We want to find the absolute maximum value of f(x, y) = x 3 − 3x − y 2 + 12 on the domain d = {(x, y) | x 2 + y 2 ≤ 9, y ≥ 0}, a half disk. (a) (3 pts) first, find the critical points of f, and determine if any of the critical points is a local maximum in the domaind. (b) (3 pts) then, find the (absolute) maximum value of f along the boundary ofd.the bottom edge of d and along the top arc ofd. (note: some of the values might be a bit messy. give solutions to two decimal places.) (c) (2 pts) using parts (a) and (b), find the absolute maximum value of f on d
General
7 months ago
Chris and Amy leave from work and drive in different directions. Their paths are at a 90-degree angle from one another, as shown in the following illustration.Chris is traveling at 40 mph. Amy leaves two hours later and is traveling at 60 mph. Assuming that t represents the time that Chris has been driving, which of the following equations can be used to calculate the values of t for which the distance between Chris and Amy is 300 miles?A.) Square root (40t)^2-[60(t-2)]^2=300B.) Square root (40t)^2+[60(t-2)]^2=300C.) Square root (40t)^2+[60(t+2)]^2=300D.) Square root (60t)^2+[40(t-2)]^2=300
General
7 months ago
To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.
General
7 months ago
PLZ HELP MESelect from the drop-down menu to correctly complete the statement. There is enough information to conclude that the two triangles are _______ if x = 48.A. Similar B. Not Similar
General
7 months ago
The sum of 3 consecutive odd numbers is 69. What is the third number in this sequence?
General
7 months ago
which expressions are equivalent to the one below?check all that apply.log5 125+log5 125A.log5 15625B.log5(5^6)C.6D.log 15625
General
7 months ago
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?1 mile = 5,280 feet45 miles per hour46 miles per hour47 miles per hour48 miles per hour
General
7 months ago
WILL MARK BRAINLIEST AND RATE 5 STARSHow many real number solutions does the equation have?0=-4x^2+7x-8No SolutionsOne SolutionTwo Solutions Infinitely Many Solutions How many real number solutions does the equation have?0=3x^2+18x+27No SolutionsOne SolutionTwo Solutions Infinitely Many Solutions
General
7 months ago
After a severe storm, 3 sisters, April, May, June, stood on their front porch and noticed that the tree in their front yard was leaning 7 degrees from vertical toward the house. From the porch,which is 96 feet away from the base of the tree, they noticed that the angle of elevation to the top of the tree was 29 degrees. Approximate the height of the tree. Round answer to two decimal places
General
7 months ago
A basket contains one giraffe (G), one panda (P), one monkey (M), and one teddy bear (T). Kelly randomly picks one toy from the basket, replaces it, and then picks a toy again. The sample space of the event of picking the two toys is represented in an organized list. Fill in the missing outcomes in the list.
General
7 months ago
For ΔABC, ∠A = 3x - 8, ∠B = 5x - 6, and ∠C = 4x + 2. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A' = 2x + 8, ∠B' = 90 - x, and ∠C' = 5x - 14, which confirms that ΔABC∼ΔA'B'C by the AA criterion? A) ∠A = ∠A' = 37° and ∠B = ∠B' = 69° B) ∠A = ∠A' = 22° and ∠C = ∠C' = 42° C) ∠B = ∠B' = 37° and ∠C = ∠C' = 33° D) ∠B = ∠B' = 74° and ∠C = ∠C' = 66°
General
7 months ago
A school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? 20 children and 10 adults Equation 1: a + c = 30 Equation 2: 8a + c = 100 10 children and 20 adults Equation 1: a + c = 30 Equation 2: 8a − c = 100 10 children and 20 adults Equation 1: a + c = 30 Equation 2: 8a + c = 100 20 children and 10 adults Equation 1: a + c = 30 Equation 2: 8a − c = 100
General
7 months ago
Use the matrix method to solve the system of equations 2x + 4y = 8 and 6x + 3y = -3. The resulting matrix is:1 0 -20 1 31 0 20 1 30 1 -21 0 3
General
7 months ago
Match the following statements and negations. 1. The grass is not green. Geometry is interesting. 2. This rose is not white. Two points determine a line 3. 5 + 4 ≠ 90 All pigs are fat. 4. Milk does not taste good. A line has no length. 5. Geometry is not interesting. This rose is white 6. A line has length. My dog has fleas. 7. All pigs are not fat. The grass is green 8. My dog doesn't have fleas. 5 + 4 = 90 9. Two points do not determine a line. A line does not have a midpoint. 10. A line does have a midpoint. Milk tastes good.
General
7 months ago
If the area of ABC is 20 cm2, what is the area of PQR? Show your work.
General
7 months ago
A student wrote four statements during math class. Which statement contains an error? A If Josh traveled 198 miles at an average speed of 33 miles per hour, he was traveling for exactly 6 hours. B If Rhonda traveled 273 miles at an average speed of 39 miles per hour, she was traveling for exactly 7 hours. C If Will traveled 376 miles at an average speed of 47 miles per hour, he was traveling for exactly 8 hours. D If Yolanda traveled 487 miles at an average speed of 53 miles per hour, she was traveling for exactly 9 hours.
General
7 months ago
Maureen has 5 rolls of pennies containing 50 coins each, 3 rolls of nickels containing 40 coins each, 6 rolls of dimes containing 50 coins each, and 4 rolls of quarters containing 40 coins each. How much money does she have?
General
7 months ago
From a set of whole numbers less than 25, what is the probability of getting a number either divisible by 5 or divisible by 3?
General
7 months ago
The graph of an equation is shown below:line joining ordered pairs negative 3, negative 2 and 1, 3Based on the graph, which of the following represents a solution to the equation? (−2, −3) (3, 1) (1, 3) (3, 2)
General
7 months ago
A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 2 small boxes has a total weight of 103 kilograms. a delivery of 3 large boxes and 8 small boxes has a total weight of 106 kilograms. how much does each type of box weigh?
General
7 months ago
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