Is the following an example of inductive reasoning or deductive reasoning?The local meteorologist predicts heavy rain in the afternoon. Instead of planning to walk to your friend’s house after band practice, you arrange for your mother to give you a ride there and to pick you up.

A. Inductive reasoning
B. Deductive reasoning

Answers

Answer 1

Answer: B. Deductive reasoning because deductive reasoning is to reach a conclusion logically which is shown in the above example, but inductive reasoning is a broad generalisation from specific observations. For example, an inductive reasoning would be saying 'grand-father is bald, therefore, all grandfathers are bald.' This of course isn't true!
Hope this helps :)

Answer 2

Answer:

Answer:

B. Deductive reasoning

Step-by-step explanation:

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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)

Answers

Answer:

:Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y<4x-8$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -(5)/(2)x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-(5)/(2)x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

Inequality A

$-8<4(5)-8$

$-8<12$ ----> is true

the ordered pair satisfy inequality A

Inequality B

$-8\geq -(5)/(2)(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

Solve the equation below

Answers

1/3(12+x) = -8 (6-x)

Distribute the 1/3 and the -8 through their parentheses

4 + 1/3x = -48 + 8x

subtract 4 from each side

1/3x = -52 + 8x

subtract 8x from each side

1/3x - 8x = -52

combine like terms

1/3x - 24/3x = -52
-23/3x = -52

divide each side by -23/3 (multiply the reciprocal of the divisor)

x = -52 × -3/23
x = 156/23

x = 6 18/23 or 6.78

(1/3)(12+x)=(-8)(6-x)
(1/3)*12 + (1/3)*x = -8*6 - (-8)*x
4 + 1/3x = -48 + 8x
1/3x - 8x = -48 - 4
-23/3x = -52
x = 156/23

The exponent indicates how many times the _____ is used as a factor

Answers

The exponent indicates how many times the base is used as a factor

I have a ring for each finger of both hands. I want to buy 4 more rings. How many rings will I have then?

Answers

you will

have 14 rings

you will have 14 rings, because you have ten fingers, and ten plus 4 is 14.

hope it helps.

What is the answer to 1 3/5 + 4 4/5

Answers

When I typed the problem into my calculator it gave me 32/5 or 6.4 .

My backyard at the old house was 10yd by 22yd. The current backyard is 15yd by 15yd. a)Determine the area of each yard.b) Determine the perimeter of each yard
c) which yard has more room for my kids play in.
d) Which yard requires more fence to enclose?