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lidiya [134]
3 years ago
14

Round 231469.335329 to the nearest thousand

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

Answer: 231,469.335

Step-by-step explanation:

sdas [7]3 years ago
7 0

Answer:

23200

Step-by-step explanation:

Always remember that any value equals or greater than 5 can be rounded up as 1

So any value less than 5 will actually equals to zero

According to the question,231469.335329

So let's start from the decimal point

Since 3 is less than 5 it will be equals to zero

So we will have 231469

Remember we are to round up to thousand

So we will have to deal with 469

9 is greater than 5 so it will give 1

470

And 7 is greater than 5 we will 1

500

So we will have 231500

This has been rounded up to hundred but the question says thousand

So to thousand we will have 232000

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A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at
Vedmedyk [2.9K]
The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.

Rest Area=((1+7)/2, (-4+1)/2)

Rest Area=(4, -1.5)

The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.

d^2=(x2-x1)^2+(y2-y1)

d^2=(7-1)^2+(1--4)^2

d^2=36+25

d^2=61

d=√61  and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:

D=5.38√61 mi

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4 years ago
B(n)=−4−2(n−1)<br> What's the 12th term in the sequence?
marysya [2.9K]

The 12th term in the sequence is -26.

Given,

B (n) = -4 – 2(n – 1)

We have to find the 12th term in the sequence:

To find the nth term in an arithmetic sequence:

An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.

Here,

First term, a = -4

Common difference, d = -2

nth term = 12

Now, let’s find 12th term

B(n) = -4 -2(n – 1)

B(12) = -4 – 2(12 – 1)

B(12) = -4 -2(11)

B(12) = -4 -22

B(12) = -26

That is, the 12th term in the sequence is -26.

Learn more about arithmetic sequence here:

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Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).
alexira [117]

Let f(x,y,z)=z-\ln(x+y). The gradient of f at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

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\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)

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\nabla f(1,0,0)=(-1,-1,1)

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4 years ago
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Gennadij [26K]

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio on right triangle KJL

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2JL = 8\sqrt{2} ( divide both sides by 2 )

JL = 4\sqrt{2}

---------------------------------------------------------

Using the sine ratio in right triangle JLM

and the exact value sin45° = \frac{1}{\sqrt{2} }

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x = 4

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