All categories

3 years ago

How many thousands are in 3.293

Mathematics

2 answers:

just olya [345]3 years ago

8 0

??? what do u mean

like numbers in the thousands place is 3

natulia [17]3 years ago

7 0

only 1

<h2>3 is the thousand</h2>

You might be interested in

at a sale, dresses were sold for $10 each. if the dresses originally cost $200 each, what percentage of its original price was a

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

10/200 = .05

.05 = 5%

7 0

3 years ago

Read 2 more answers

1. Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.

german

Answer:

Step-by-step explanation:

To write the form of the partial fraction decomposition of the rational expression:

We have:

$\mathbf{\dfrac{8x-4}{x(x^2+1)^2}= \dfrac{A}{x}+\dfrac{Bx+C}{x^2+1}+\dfrac{Dx+E}{(x^2+1)^2}}$

Using partial fraction decomposition to find the definite integral of:

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}dx$

By using the long division method; we have:

$x^2-8x-20 | \dfrac{2x}{2x^3-16x^2-39x+20 }$

$- 2x^3 -16x^2-40x$

$x+ 20$

So;

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x+\dfrac{x+20}{x^2-8x-20}$

By using partial fraction decomposition:

$\dfrac{x+20}{(x-10)(x+2)}= \dfrac{A}{x-10}+\dfrac{B}{x+2}$

$= \dfrac{A(x+2)+B(x-10)}{(x-10)(x+2)}$

x + 20 = A(x + 2) + B(x - 10)

x + 20 = (A + B)x + (2A - 10B)

Now; we have to relate like terms on both sides; we have:

A + B = 1 ; 2A - 10 B = 20

By solvong the expressions above; we have:

$A = \dfrac{5}{2}$ $B = \dfrac{3}{2}$

Now;

$\dfrac{x+20}{(x-10)(x+2)} = \dfrac{5}{2(x-10)} + \dfrac{3}{2(x+2)}$

Thus;

$\dfrac{2x^3-16x^2-39x+20}{x^2-8x-20}= 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)}$

Now; the integral is:

$\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = \int \begin {bmatrix} 2x + \dfrac{5}{2(x-10)}+ \dfrac{3}{2(x+2)} \end {bmatrix} \ dx$

$\mathbf{\int \dfrac{2x^3-16x^2-39x+20}{x^2-8x-20} \ dx = x^2 + \dfrac{5}{2}In | x-10|\dfrac{3}{2} In |x+2|+C}$

3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.

Please check to the attached image below for the solution to question number 3.

4 0

3 years ago

23.5 in expanded form

Snowcat [4.5K]

Answer:

23.5 = (2 x 10) + (3 x 1) + (5/10)

6 0

3 years ago

What is the vertex of the quadratic function below?

likoan [24]

Answer:

(-2, 3)

Step-by-step explanation:

7 0

3 years ago

31. What is the maximum volume of a square pyramid that can pit inside a cube with a side length of 24cm?

REY [17]

The answer is <span>B) 4,608cm^3

The volume of the square pyramid is:
V = a</span>² * h / 3
a - the side length of the base
h - the height of the pyramid.

Since it is inside the cube, then a = h = 24 cm.

So:
V = 24² * 24 / 3 = 13,824 / 3 = 4,608 cm³

4 0

3 years ago