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2 years ago

Is 8.3 repeating rational? If so, prove it by writing it as a fraction in the form a/b.

Mathematics

1 answer:

Allushta [10]2 years ago

4 0

8 1/3 (Rational) or 25/3

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6 for $36.00 unit rate

Pavel [41]

Yes, so our unit rate is 1:6

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3 years ago

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James had $ 6500 in a bank account that paid 4% interest at the end of each year. How much money did Mr. James have in his accou

Kazeer [188]

He would have $6,760 in his account after year one.
Do 6,500*0.04=260
6,500+260=6,760

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2 years ago

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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

The two dot plots represent a sample of the number of

zheka24 [161]

The answer is:

Both have the same number of data points

Both means are between 3 and 4

Westwood has less variability than Middleton

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2 years ago

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Plzz help ... I'm thinking it's either c or d

iren [92.7K]

Looking at the slope of the "best-fit" line, you can see that for every two hours of homework, 15 more points are scored. (compare t=0 to t=2).

For t=5, the line seems to go through 47.5. So for t=7, which is two hours more, you'd expect a score of 47.5+15 = 62.5.

That answer is in the list, so I'd choose that.

In reality, you would never be able to have any score you like just by putting more hours in, so this can never be a straight line forever...

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2 years ago

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