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 1
Answer:

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

Answer 2
Answer:

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 having a hard time with an Algebra question on systems of equations and graphing: y= 5x-8
y= -5x+2

The answer choices are:
A. The solution is ______( fill in whatever the solution is)__.
B. There is infinitely many solutions.
C. There is no solution.
I also have to graph it so what what would I graph if need be?
Thanks so much!!!

Answers

1)First you substitute what we already know y equals
-5x+2=5x-8
2) if you solve that you get that x=1
3) put x back in one of the original equations
y=5(1)-8
4) then you get y as -2

A) the solution is x=1 y=-2

You would graph x and y and a coordinate point (1,-2)

Find last​ year's salary​ if, after a
5 % pay​ raise, this​ year's salary is
$34,125.

Answers

Let last year's salary be y;
As a percentage, last year's salary was 100%
After a 5 percent raise, the new salary is 105%;
The 105% is equivalent to 34,125;
The older salary was;
=(34125*100)/(105)
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1. Solve through substitution
y = -3.x + 4. y = 4x – 10
Enter your math answer

Answers

Answer:

y= -2 and x= 2.

Step-by-step explanation:

(y=-3x+4)4

(y=4x-10)3

make the x's cancel out.

you get 7y=-14.

y=-2.

-2=-3x+4

x=2

Solve using the Square-Root (x-3)²-49=0

Answers

Answer:

x equals 10 and x equals -4

Step-by-step explanation:

take the square root of (x-3)² and the square root of 49

√(x-3) = x-3

√49 = +7 and -7

substitute the positive and negative 7 in for 'x' and solve

x-3 = 7;   therefore, x = 10

x-3 = -7;   therefore, x = -4

What year did silver get taken out of quarters

Answers

Answer:

Step-by-step explanation:

1965 year silver got taken out of quarters

The area of the garden is 160 meter squared.Suppose the length of the garden is 3m more than twice its width.What is the length of the garden?

Answers

w-width\n\n2w+3-length\n\n160m^2-area\ of\ the\ garden\n\nw\time(2w+3)-area\ of\ the\ garden\n\nw(2w+3)=160\n\n2w^2+3w-160=0

a=2;\ b=3;\ c=-160\n\n\Delta=b^2-4ac\to\Delta=3^2-4\cdot2\cdot(-160)=9+1240=1249\n\nw_1=(-b-\sqrt\Delta)/(2a);\ w_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(1249)\approx35.34\n\nw_1=(-3-35.34)/(2\cdot2) < 0;\ w_2=(-3+35.34)/(2\cdot2)=(32.34)/(4)=8.085\ (m)\n\nlength\approx2\cdot8.085+3=19.17\ (m)