Calculus

Well, isn't that just a happy little math problem we have here? To find the product of 9x and 5x, you simply multiply the coefficients (9 and 5) to get 45, and then multiply the variables (x and x) to get x^2. So, the answer is 45x^2. Just like painting a beautiful landscape, math can be a joyful experience when you take it step by step.

10x + 2 - 62

Subtract '2' from both sides

10x = 60

Divide both sides by '10'/

x = 6 The answer!!!!!

Oh, what a happy little question! When you multiply 10 by 10, you get 100. It's like painting a beautiful landscape with just a few simple brushstrokes - the answer is right there, waiting for you to discover its beauty. Just remember, mistakes are just happy accidents, so take your time and enjoy the process.

6 TIMES

300 x 300 equals 90,000. This is because when you multiply two numbers, you are essentially adding one number to itself as many times as the value of the other number. In this case, you are adding 300 to itself 300 times, which equals 90,000.

Oh, dude, you're hitting me with some math now? Okay, like, y squared plus y is technically y(y+1). So, like, if you're ever at a party and someone asks you that, you can just drop that knowledge bomb and impress everyone.

The derivative of 3cos(x) is -3sin(x). This can be found using the chain rule, which states that the derivative of a composition of functions is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function. In this case, the derivative of cos(x) is -sin(x), and when multiplied by the constant 3, we get -3sin(x) as the derivative of 3cos(x).

The expression "6x squared" is a mathematical term representing the product of 6 and x squared. To simplify this expression, you would multiply 6 by the square of x, resulting in 6x^2. This indicates that x is being squared, not the entire term 6x.

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The source document states:

(S) The process takes three hours to complete.

The new document states:

(S) The process takes three hours to complete.

Which concept was used to determine the derivative classification of the new document?

• Extension
• Revealed by
• Contained in
• Compilation

Oh, what a lovely little math problem we have here! Let's take a deep breath and simplify this together. We can factor out a 2x from the first two terms and a 3 from the last two terms, leaving us with 2x(y-5) + 3(y-5). Now, we can see that we have a common factor of (y-5), so our final answer is (2x+3)(y-5). Great job working through that!

3y2

y x y = y2

3 x y2 = 3y2

The expression 2x squared plus x squared can be simplified by combining like terms. When we add 2x squared and x squared, we get 3x squared. Therefore, the simplified expression is 3x squared.

Oh, what a happy little equation we have here! Let's bring some joy to this math problem. To find the value of x, we need to isolate it by moving the numbers around. Start by subtracting 1 from both sides, then divide by -10. And just like that, you've found the value of x - it's -8.

x/3

Well, darling, the symbol for skew lines is an "S" with a slash through it. It's like a big ol' "NOPE" sign for lines that will never meet no matter how much they try. So, if you see that symbol, just accept that those lines are going their separate ways and move on with your life.

perimeter = 3x Area = x^2 * sqrt(3)/4 Explanation of area: You can divide an equilateral triangle into 2 right triangles, each with a common side we will call y. Area = area of first right triangle + area of second right triangle = (x/2)*y/2 + (x/2)*y/2 = xy/2 Now: y^2 + (x/2)^2 = x^2 so y^2 = x^2 - x^2/4 so y= sqrt(3)x/2 Area = [sqrt(3)x/2] x [x/2] Area = x2 sqrt (3)/ 4

The decay of plutonium-240 follows exponential decay kinetics, where the amount remaining is given by the equation: N(t) = N0 * e^(-λt), where N(t) is the amount remaining at time t, N0 is the initial amount, λ is the decay constant, and e is the base of the natural logarithm. The decay constant for plutonium-240 is 0.0106 years^-1. By rearranging the equation to solve for time (t) when N(t) = 9 grams and N0 = 27 grams, you can calculate the time it will take for 27 grams of plutonium-240 to decay to 9 grams. The calculated time will be approximately 20.5 years.

To calculate the number of 12x12 tiles needed for a 10x10 room, you first need to find the area of the room. A 10x10 room has an area of 100 square feet. Since each 12x12 tile covers 1 square foot, you would need 100 tiles to cover the entire room.

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It is: x+4+2x-7 = 3x-3 simplified

13

The quotient of x and 5 is the result of dividing x by 5. In mathematical terms, this can be represented as x ÷ 5. The quotient represents how many times 5 can be evenly divided into x. This operation results in a numerical value that indicates the ratio of x to 5.

The two techniques used to increase the clock rate R in a computer system are pipelining and parallel processing. Pipelining involves breaking down the execution of instructions into smaller stages that can be processed simultaneously, increasing overall efficiency. Parallel processing involves using multiple processors to execute tasks concurrently, further boosting computational speed. Both techniques aim to optimize the utilization of hardware resources to enhance performance.

You write 909,000 as "nine hundred nine thousand." It's as simple as that. Now go impress someone with your newfound knowledge.