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melomori [17]
3 years ago
10

Kathy is baking cakes each cake requires 1/12 of a teaspoon of vanilla and she has 9/12 of a teaspoon how many cakes can she bak

e?
Mathematics
2 answers:
masya89 [10]3 years ago
8 0
Kathy can make 9 cakes
Alex787 [66]3 years ago
4 0
9 cakes•••• If 1 teaspoon = 1 cake, then 9 teaspoons must = 9 cakes.
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Find the partial fraction decomposition of x-3/x(x^2+3)
Setler [38]

Answer:

-1 / x + (x + 1) / (x² + 3)

Step-by-step explanation:

(x − 3) / (x (x² + 3))

There are two factors in the denominator, so split this into two fractions with unknown numerators:

A / x + (Bx + C) / (x² + 3)

Combine back into one fraction:

(A (x² + 3) + (Bx + C) x) / (x (x² + 3))

Now equate this numerator with the original:

A (x² + 3) + (Bx + C) x = x − 3

Ax² + 3A + Bx² + Cx = x − 3

(A + B) x² + Cx + 3A = x − 3

Match the coefficients:

A + B = 0

C = 1

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Solve:

A = -1

B = 1

C = 1

Therefore, the partial fraction decomposition is:

-1 / x + (x + 1) / (x² + 3)

Here's a graph showing that the two are the same:

desmos.com/calculator/hrxfnijewh

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3 years ago
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kodGreya [7K]

Answer:

52

Step-by-step explanation:

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Glad I could help!

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The area of a square is 9 centimeters squared (cm^2) If the sides of the square are doubled in length, what is the new area, in
Mice21 [21]

Answer:

The question says area of a square = 9 cm squared.

And they said if the sides are doubled in length what is the new length

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Step-by-step explanation:

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(01.06 LC)
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Box plots are used to display data using a rectangle whose vertical edges represent the quartiles.

<h3>(a) The annual salaries of both companies</h3>

From the box plots, we have the following highlights:

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  • The median salary at Company A is less than company B
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<h3>(b) The pros and cons</h3>

For Company A, we have:

There is an outlier in the distribution of company A;

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Read more about box plots at:

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