give an example of a repeating decimal where two digits repeat. explain why your number is a rational number

1 answer:

5 0

1.666666, any decimal or number that is repeating can be written in a/b format and b not equal zero is rational. Repeating decimals can be considered rational because they can be represented as a ratio of two integers.

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What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal

Advocard [28]

The average rate of a function f(x) over an interval x = a and x = b is given by:

$Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a}$

Given the function

$f(x)=20(14)^x$

The average rate of change from x = 1 to x = 2 is given by:

$\frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1} \\ \\ =20(196-14)=20(182)=3,640$

6 0

3 years ago

Prove sin^2(pi÷8+a)-sin^2(pi÷8-a)=√2÷2sin 2a help me, thanks

Mkey [24]

Answer:

True

Step-by-step explanation:

5 0

2 years ago

A square pool has a side length of x feet. a uniform border around the pool is 1 foot wide. the total area of the pool and the b

Alex73 [517]

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Define x:
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Let x be the length of the pool.

Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2

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Given area = 361 ft², find x:
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(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17

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Find Length of the pool:
----------------------------------------
Length of the pool = x = 17 feet

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Find Area of the pool:
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Area = 17 x 17
Area = 289 ft²

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Answer: Area of the pool = 289 ft²
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5 0

2 years ago

X + 11 = 3 so the equation

Mnenie [13.5K]

X+11=3
-11 -11
x=-8

you subtract 11 from both sides. then you got the answer.

8 0

2 years ago

Pls help ASAP!!!!! Urgent

serg [7]

It is ASAF

In both Triangles,
AB = AD (Given)
AC = AE (Given)
∠CAB = ∠EAD (Vertically opposite angles)

So,
By SAS rule of congruency,

∆ABC = ∆ADE

6 0

2 years ago