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aleksandr82 [10.1K]
3 years ago
11

A number is divided by 6, and then the quotient is added to 29. The result is 41.

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:2

Step-by-step explanation:x/6+29=41

41-29=12

12/6=2

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Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent in the terms of the polynomial. The leading coefficient is the coefficient of the term with the largest exponent.

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Since terms with division by a variable are not allowed.

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3 years ago
A cube with side length m has a volume of 343 cubic centimeters. The following equation shows the volume of the cube.
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To find the side length of a cube with a volume of 343, you need to find m to the third power. Solve that and you get 7. m = 7
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The sum of 4 consecutive integers is 406. find the integers
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Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

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100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

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Christina describes her shape. She says it has 3 equal sides that are each 4 centimeters in length. It has no right angles. Do u
Salsk061 [2.6K]


draw an equilateral triangle that has a side length of all 4cm


4 0
3 years ago
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ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!
posledela

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

8 0
3 years ago
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