Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and the altitude is 80 mm, find the rate at which the water is dropping when it is 20 mm from the top.

Q: 20 different comic books will be distributed to 5 kids. 1) How many ways are there to distribute the…

A:

Q: Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the…

A:

Q: John and Claudia have a new grandson. How much money should they invest now so that he will have…

A:

Q: Are the following vectors linearly independent? ,,,

A: Explanation of the answer is as follows

Q: 2. Find the value of x for the right triangle. 16 60°

A:

Q: A movie theater has a seating capacity of 225. The theater charges $5.00 for children, $7.00 for…

A: topic - linear equations

Q: A 42​-inch board is to be cut into three pieces so that the second piece is twice as long as the…

A: Given that length of first piece = x Length of second piece = 2x Length of third piece = 3x

Q: Approved by Carricalum Deciopment Cenre, Snoth a 16. Let's search the current population of your…

A: Since we have to find how much one is smaller than the other we will perform the basic subtraction…

Q: Examples. Find the slope and y-intercept of each equation: a. y=x-9 x - 9 2 b. у-5х-7 с. у--3 (х+2)

A:

Q: How to solve this problem.... 20(7789) - (217)(579) __________________________________________…

A:

Q: 4 4 Write as a single logarithm. logx' + logx* 2 a. logx b. logx c. logx*/x d. 극logz®

A:

Q: 88.aneqmtion for te plane passing through the Pts: ACl,2,3), B(2,3.1), C(3,1,2) 1s.. A)×-y+z=2…

A:

Q: Cindy has a new job offer but will need a new car for the job. After planning a budget, they…

A:

Q: Problem 3: a) Find the Fourier series the function f (x) = x2 for - <xS T. b) Apply Parseval's…

A:

Q: A father deposited a total amount of P88,500 on two different investments. The first investment…

A: Given that a father deposited a total amount of P88,500 on two different investments. The first…

Q: The table below relates the number of rats in a population to time in weeks. Use the table to write…

A:

Q: W x + y+z = 0 }is a subspace of R³. y

A: A set S is said to a subspace of a vector space V iff for any vectors a,b∈S and for any scalars c,d…

Q: Consider the line L(t) = (4 – 4t, 17 + 3t). Then L intersects: 1. The x-axis at the point when t =…

A: Consider the line L(t) = &lt;x(t) ,y(t) &gt;, then L intersect at the x-axis at the point &lt;x(t)…

Q: The Nut Shack sells hazelnuts for $6.70 per pound and peanuts nuts for $4.70 per pound. How much of…

A: Pound

Q: Solve without the use of the quadratic formula. ai) -(-6) 21.) x? - 6x +8 = 0 X= 4 X 2 22. (x + 5)2…

A:

Q: solve the equation. x3-(17/3)x2+(28/3)x-4=0

A:

Q: Find all rational zeros of the equation. 28x4+16x3-213x2+76x-7=0

A: Given, 28x4+16x3-213x2+76x-7=0   Recall: Reminder theorem When a polynomial function P(x) is divided…

Q: $11,000 is invested for 6 years at an annual simple interest rate of 16%. (a) How much interest…

A:

Q: Exercise: Solve the following equati- 1. 4x? – 17 x + 15 = 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

Q: Use the theoretical probability formula to solve the problem. Express the probability as a fraction…

A:

Q: The number (1+i) is zero of the equation. Find the other roots of the equation. x3-5x2+8x-6 =0

A: We need to find possible roots.

Q: If Ø: R → S is a ring isomorphism. The Ø preserves: O Nilpotent elements O Idempotent elements Units…

A: We need to choose correct option.

Q: If P3000 is deposited in a savings account paying 3% a year. How much will you have in the account…

A:

Q: Graph the feasible region. -x + y -4 10 Graph Layers Clear ll 8 After you add an obj Delete can use…

A: We have to draw the region of the given inquality function.

Q: .Construct a truth table for each of the following compound statements. (a) (p^q) → q. (b) (¬p) → (p…

A:

Q: Find the x and y intercepts and then graph the line

A: The given equation is:4x+3y=-12To graph the line.

Q: Cermine which of the following polynomials is not factorable (prime). A. 2x2 - 7x - 4 В. Зх2 + 2х +1…

A:

Q: Consider the following system of equations: - la – 2y = - 14 - 7x + 4y -44 True or False: The point…

A: Solving

Q: Consider the following matrix. -2 1 1 A= 0 -2 1 1 -1 0 Choose the correct description of A. -1 Find…

A: The given matrix is A=-2110-211-10. Obtain the determinant of A as follows. A=-2110-211-10…

Q: Consider the following Universal Product Code. [7, 3, 9, 8, 5, 2, 1, 6, 2, 1, 0, d] Use the check…

A:

Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

A:

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A:

Q: O Q 2. Factor using the GCF. 4:x + 8a? O 42° (x + 2) O 2x²(4x + 4) O 4¤(x + 2) O 20 (20° + 4)

A:

Q: -6x+2y=-10 Solve the system of linear equations by completing the following. 8x-3y=12 -6 (a) Suppose…

A: Consider the system of equation is of the form                  AX = B then X = A-1B

Q: of a 4x7 natrix is H19. The dinansun of the nul at least: space A) 3 B)4c)5 D) 6 E) 7

A:

Q: 8-2 Adding, Subtracting, and Multiplying Polynomials Explain why, when multiplying (3x - 4)(3x + 4),…

A: Given expression is (3x-4)(3x+4) We know that FOIL method Is used for multiplying binomials. FOIL…

Q: Given the function f(x) = -x2+2x+6, find f(1) and f(4). Compare the values.

A:

Q: Consider the line 3x-5y=-7. What is the slope of a line parallel to this line? What is the slope of…

A: Consider the line        y =mx+b; where, 'm' is the slope of the given line  thenslope of the…

Q: Solve the following system of equations with the substitution method: 20r-4y 16 %3D 4. %3D

A:

Q: 18. Group like bases and multiply. (a°6®) (a°b*) O a10g12

A: Given (a^5b^6)(a^6b^2)

Q: How can I find a quadratic equation from the points (0,0) (50,18) and (100,0)? The how can I use…

A:

Q: 2) 28a* – 8

A: I am attaching image so that you understand each and every step.

Q: Y = -5x

A:

Q: = 2x2 +5x, find For the functions, f(x) = 4x +3 and g(x) (f o g)(x) O 32x2 + 68x +33 none of these…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.