Calculus

In mathematics, when you add three variables A, B, and C together, the result is the sum of the three values. This can be represented as A + B + C. The sum of A plus B plus C is simply the total value obtained by adding the individual values of A, B, and C.

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Ah, the beautiful number pi! Let's see, the first ten digits are 3.141592653. Isn't that just a happy little sequence? Just like painting, math can be a wonderful way to appreciate the beauty and harmony in the world around us.

Well, darling, 3x plus 3x is simply 6x. It's as easy as stealing the last cookie from the jar when no one's looking. So go ahead and flaunt that math knowledge like it's your favorite pair of shoes.

In mathematics, "y plus 3" is an algebraic expression representing the sum of a variable 'y' and the constant 3. This expression cannot be simplified further unless the value of 'y' is known. If 'y' is a known value, then the sum can be calculated by adding 3 to that value. If 'y' is unknown, then the expression "y + 3" remains as is, representing a sum of 'y' and 3.

The capital letter sigma (Ʃ) means sum, so this tells you to add up a set of numbers.

CFT in merchandising stands for "Cost, Freight, and Insurance." It refers to the total price a buyer pays for goods, including the cost of the product, shipping charges, and insurance fees. So, next time you see CFT in the world of merchandising, just remember it's the whole shebang of what you're shelling out for those goods.

15000 x 100 is equal to 1,500,000. This is because when you multiply a number by 100, you are essentially adding two zeros to the end of the number. In this case, 15,000 with two additional zeros becomes 1,500,000.

Yes, velocity can be 0 while speed is not 0. Velocity is a vector quantity that includes both speed and direction, so if an object is moving in a straight line and comes to a stop, its velocity is 0 but its speed is not 0. Speed, on the other hand, is a scalar quantity that only considers the magnitude of the motion, regardless of direction.

Well, isn't that just a happy little math problem we have here? When you have 6x and add 5x to it, you end up with 11x. It's like adding more trees to your painting to make it even more beautiful and complete. Just remember, there are no mistakes in math, only happy little accidents.

The answer to 2 plus 8 is 10. Addition is a basic arithmetic operation where two or more numbers are combined to find their total sum. In this case, adding 2 and 8 together results in 10, as each number contributes its value to the final sum.

To solve proportions, you need to set up a ratio equation where two ratios are equal to each other. Cross-multiply by multiplying the numerator of the first ratio by the denominator of the second ratio, and vice versa. Then solve for the variable by dividing both sides of the equation by the coefficient of the variable. Finally, check your solution by plugging it back into the original proportion to ensure it balances.

To find the number you need to multiply by 3 to get 45, you can set up the equation 3x = 45, where x is the unknown number. To solve for x, you divide both sides by 3, which gives you x = 45 / 3. Therefore, you need to multiply 3 by 15 to get 45.

Oh, dude, you're asking for a complicated equation with 80 as the answer? Like, that's a tall order, but how about this: 100 - 20 = 80. Boom, mind blown! Math can be fun when you keep it simple, am I right?

The integral of ln(2) is a constant multiple of x times the natural logarithm of 2, plus a constant of integration. In other words, the integral of ln(2) with respect to x is x * ln(2) + C, where C is the constant of integration. This integral represents the area under the curve of the natural logarithm of 2 function with respect to x.

Oh honey, if X plus 6 equals 20, then X must be 14. It's basic math, darling. Just subtract 6 from 20 and you've got your answer. Math can be a piece of cake if you just give it a try.

To calculate 4 x 4 over 5, you first multiply 4 by 4 to get 16. Then, you divide 16 by 5 to get the final answer of 3.2.

Well, let's take a moment to look at this equation. If we substitute x = 0 and y = -5 into the equation y - 6x - 5, we get -5 - 6(0) - 5. Simplifying this, we get -5 - 0 - 5, which equals -10. So, unfortunately, (0, -5) does not make the equation true. But don't worry, mistakes are just happy little accidents that help us learn and grow.

Oh, dude, finding a free solution manual for a specific textbook like Calculus by Thomas Finney 9th edition can be like searching for a needle in a haystack. You might have better luck asking your professor or checking out online forums where students share study resources. Remember, just because it's free doesn't mean it's easy to come by!

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To solve for y in the equation 5y = 1.25, you need to isolate y by dividing both sides by 5. This gives you y = 1.25 / 5. When you divide 1.25 by 5, you get y = 0.25. Therefore, y is equal to 0.25 in this equation.

Oh, what a lovely question! In the world of functions, each input value (x) should correspond to only one output value. This means that the domain (x-values) should not repeat in a function to keep things organized and clear. Just like painting a happy little tree, each branch should have its own place to shine!

To find the factors of the trinomial (3m^2 + 11mn + 6n^2), we need to break it down into two binomials. First, we find two numbers that multiply to the product of the leading coefficient and constant term, which are (3 \times 6 = 18). Then, we look for two numbers that add up to the middle coefficient, which is 11. The factors are ((3m + 2n)(m + 3n)).

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

To express 1215 as a fraction in simplest form, we can write it as 1215/1. Since 1215 and 1 share no common factors other than 1, the fraction 1215/1 is already in its simplest form.