An exponent shows how many times the base number is multiplied by itself. a. True
b. False

Answers

Answer 1

Answer: The answer is a. true.

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write as an equation and solve: when 4 is added to the number that is produced by three times the number p, the result is equal to 25.
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140% of what number is 14?
X^2+-3x+underoot 2(is this a polynomial why)

Use inductive reasoning to predict the next line in this sequence of computations. Then usea calculator or perform the arithmetic by hand to determine whether your conjecture is

correct.

9.3+5 = 32

99.3 + 5 = 302

999. 3+5 = 3002

9999.3+5 = 30002

Make a conjecture by predicting the correct numbers in the line below.

0-3+5 -0

Is the conjecture correct?

O A. Yes

OB. No

Answers

Answer and explanation:

Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.

B. The conjecture 0-3+5 -0 is incorrect

Given the above sequence of computations, we use inductive reasoning to predict the next computation

The correct next conjecture is

99999.3+5= 300002

The next number in the sequence is predicted to be 300007, and the conjecture is confirmed to be correct.

To predict the next line in the sequence, we can observe that the pattern is adding a sequence of 2s at the end of each number. The first number ends with 32, the second with 302, the third with 3002, and the fourth with 30002. Following this pattern, the next number in the line would be 300002. Calculating the sum, we get 300002 + 5 - 0 = 300007.

Therefore, the conjecture for the correct numbers in the next line is 300007.

By performing the arithmetic, we can confirm that the conjecture is indeed correct, as the sum of 9.3 + 5 - 0 equals 14.3, which matches the predicted number.

Learn more about Inductive reasoning here:

brainly.com/question/33871903

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I am writing this question only to see how smart the community on Brainly is.What is the 3rd derivative of $f(x)=sin(x)x^3+x^2tan(x)$

Answers

I am very confused as to why you posed this question in the way you did. People would have answered your question regardless.

First derivative:
f'(x) = 3x^2sin(x) + x^3cos(x) + 2xtan(x) + x^2sec^2(x)

Second derivative:
f''(x) = 6xsin(x) + 3x^2cos(X) + 3x^2cos(x) - x^3sin(x) + 2tan(x) + 2xsec^2(x) + 2xsec^2(x) + 2x^2sec^2(x)tan(x)

f''(x) = 6xsin(x) + 6x^2cos(x) - x^3sin(x) + 2tan(x) + 4xsec^2(x) +

Third Derivative:
f'''(x) = 6sin(x) + 6xcos(x) + 12xcos(x) - 6x^2sin(x) - 3x^2sin(x) - x^3cos(x) + 2sec^2(x) + 8xsec^2(x)tan(x) + 4sec^2(x) + 4x^2sec^2(x)tan^2(x) + 4xsec^2(x)tan(x) + 2x^2sec^4(x)

f'''(x) = 6sin(x) + 18xcos(x) - 9x^2sin(x) - x^3cos(x) + 12xsec^2(x)tan(x) + 6sec^2(x) + 4x^2sec^2(x)tan^2(x) + 2x^2sec^4(x)

f'''(x) = (6 - 9x^2)sin(x) + (18x - x^3)cos(x) + 12xsec^2(x)tan(x) + 6sec^2(x) + 4x^2sec^2(x)tan^2(x) + 2x^2sec^4(x)

There are many more ways this can be factored, but if this is just to test whether someone knows the basics of calculus, this should be sufficient.

Order the decimals from least to greatest.2.5
-2.67
-2.7
-1.8
1.9