Archie earns $4 a week for doing choirs. How much will Archie warm in 2 months if there are four weeks in each month?

1 answer:

4 0

Hello! The answer for your question would be $32. This is because if Archie earns $4 a week and there are 4 weeks in each month, and he works for 2 months, then 4*4 for one week would equal $16. This times 2 would equal $32 therefore, Archie earned $32 dollars for 2 months of doing chores.

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Which equation represents the line that is perpendicular to and passes through (-12,6)?.

Evgesh-ka [11]

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

$y-y_1=m(x-x_1)$

m is the slope of the lne

(x1, y1) is any point on the line.

Given the equation y = 3/2x + 1, the slope of the line is 3/5

The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

$y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\$

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

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2 years ago

Provide a recursive definition of the function f(n) = (n+1)!.

fiasKO [112]

Answer:

See definition below

Step-by-step explanation:

Since we have to give a recursive definition, we must give a initial value f(0). Additionally, the value of f(n) must depend on the value of f(n-1) for all n≥1.

The required value of f(0) is (0+1)!=1!=1.

Now, the factorial itself is a recursive function, because (n+1)!=(n+1)n!. In terms of f, this means that f(n)=(n+1)f(n-1) for all n≥1.

Then, our definition is: f:N→N is defined by