Help! Please! As soon as possible. Use finite differences to identify the degree of the polynomial that best describes the data:

Numbers divisible by 100 are divisible by 5.

Reptile [31]

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

Learn more about law of detachment:

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8 0

3 years ago

Căn bậc hai số học của 9 là<br> A. 3−. B. 3. C. 81. D. 81−.

Fynjy0 [20]

Answer:

ko biet

Step-by-step explanation:

4 0

3 years ago

The phone company splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money

m_a_m_a [10]

Answer: y = 0.45x + 21

Step-by-step explanation:

let x represent the number of minutes used in a month.

Let y represent the monthly cost for x minutes.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (304.5 - 183)/(630 - 360)

m = 121.5/270 = 0.45

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

Where

c = y intercept

m = slope

To determine the y intercept, we would substitute x = 360, y = 183 and m = 0.45 into y = mx + c. It becomes

183 = 0.45 × 360 + c

183 = 162 + c

c = 183 - 162

c = 21

The equation for the monthly cost is

y = 0.45x + 21

5 0

3 years ago

How do you do this question?

AfilCa [17]

<h3>4 Answers: A, B, C, D</h3>

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Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

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The conditions to use the integral test have been met. So we have to see if $\displaystyle \int_1^{\infty}f(x)dx$ converges or not.

Let's integrate and find out

$\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\$

So we have

$\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\$

Meaning that,

$\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\$

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression $-\frac{1}{5b^5}+\frac{1}{5a^5}$ will turn into $\frac{1}{5}$