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KatRina [158]
2 years ago
11

How many times greater is the value of the 3 in 3,499 than in 6,399

Mathematics
1 answer:
boyakko [2]2 years ago
7 0

Answer:

967 times

Step-by-step explanation:

3 / 3499 is 1166.33333

3 / 6399 is 2133

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try
vagabundo [1.1K]

Using the shell method, the volume is

\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx

Each cylindrical shell has radius 2-x (the horizontal distance from the axis of revolution to the curve y=8x^3); has height 8x^3 (the vertical distance between a point on the x-axis in 0\le x\le1 and the curve y=8x^3).

Compute the integral.

\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}

6 0
1 year ago
Which statement correctly describes the relationship between the point (-3, 2), and point Q?
Korvikt [17]

Answer: it is a reflection across the x-axis sorry if I responded late

4 0
2 years ago
Y = 2x <br> x + y = −6<br> the answer should be like this (x,y) or ( , )
melisa1 [442]

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

y=2x\\\\x+y=-6

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

x+2x=-6\\\\3x=-6

Dividing both sides by 3, we get:

\frac{3x}{3}=\frac{-6}{3}\\\\x=-2

Now, y=2x=2\times -2=-4

Therefore, the solution is (-2, -4)

6 0
3 years ago
What is the value of x in the equation 2x- 1.3 = 5?
Basile [38]
I hope this helps you

2x=5+1,3

2x=6,3


x=3,15
3 0
3 years ago
Mike is 4 3/4 feet tall. His brother is 3 7/12 feet tall. How much taller is mike than his brother.
vlabodo [156]

he is 1 and a half feet taller

hope this helps!  :

5 0
3 years ago
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