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docker41 [41]
3 years ago
13

In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction times

as great as the digit 444 in the number 3.8463.8463, point, 846?
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples  

9.30<u>4</u>,

9.00<u>4</u>

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as \frac{1}{10} \times the digit 4 in 3.8463

That is

\frac{1}{10}  \times 0.04 = 0.004

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

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How does the graph of g(x)=1/x-5. +2 compare to the graph of the parent function f(x)=1/x
malfutka [58]

Answer:

x value of vertical asymptote and y value of horizontal asymptote

Step-by-step explanation:

The graph of 1/x approaches infinity as x approaches 0 (the vertical asymptote)

As x gets either bigger or smaller, 1/x approaches the x-axis (from above on the positive side, from below on the negative side) (the horizontal asymptote)

Consider 1/(x-5) + 2, at what value of x does the graph 'go nuts' ?

When the bottom of the fraction becomes 0, x - 5 becomes 0 when x = 5, so the vertical asymptote of g(x) is at x=5

What value of y does f(x) approach as x gets more positive or more negative - as x gets bigger (as an example), y approaches 0

What y value does g(x) approach as x gets bigger?  Well, as x gets big, 1/(x-5) gets small, approaching 0.  The smallest 0 + 2 can get is 2, so y=2 is the horizontal asymptote

8 0
2 years ago
(Show your working) I uploaded the question
svlad2 [7]

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

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3 years ago
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3 years ago
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2 years ago
A square and a rectangle have equal areas. If the dimensions of
Katena32 [7]

Answer:

L = 3√5

Step-by-step explanation:

A square and a rectangle have equal areas.

Area of a square = Area of a rectangle

L² = H * W

If the dimensions of the rectangle are 15 units by 3 units,

L² = 15 * 3

L² = 45

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