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1 year ago

What is the remainder of 6099 divided by 7

Mathematics

1 answer:

tino4ka555 [31]1 year ago

8 0

Remainder of 6099 Divided by 7? The quotient (integer division) of 6099/7 equals 871; the remainder (“left over”) is 2.

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For what value of constant c is the function k(x) continuous at x = 0 if k =

nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:

$\mathbf{ \lim_{x \to 0^-} k(x) = \lim_{x \to 0^+} k(x) = 0 }$

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= c }$

Provided that:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }$

Using l'Hospital's rule:

$\mathbf{\implies \lim_{x \to 0} \ \ \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}= \lim_{x \to 0} sec \ x \ tan \ x = 0}$

Therefore:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}=0 }$

Hence; c = 0

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1 year ago

A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f

frutty [35]

Answer:

$y=f(x)=|x-22.3|$

Step-by-step explanation:

Let the weight of the bag of sand with an unknown weight be given as "x" pounds. Then, the difference between the weight of an average bag of sand which is given to be as 22.3 pounds, is given as $x-22.3$ . Therefore, the absolute value function describing the difference between the weight of an average bag of sand and a bag of sand with an unknown weight will be given as: $|x-22.3|$ .

Let us represent this by f(x) or y. And thus, we get:

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3 years ago

Simplify the expression: 2(5r + 8)

Ganezh [65]

Answer:

2(5r + 8) = 10r + 16

Explanation:

Given the expression:

2(5r + 8)

Remove the parentheses

2 × 5r + 2 × 8

= 10r + 16

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7 months ago

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Yuliya22 [10]

The value of f(19) in the given equation is 55.

<h3>What is the function of a linear equation?</h3>

The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.

Given that:

f(x) = 3x - 2

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So;

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2 years ago

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Monica [59]

Answer: 12

Step-by-step explanation:

21 divided by 10.5 is 2, so you would do 24 divided by 2 to get 12.

2 is the scale factor.

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2 years ago

Read 2 more answers