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Deductive Reasoning.

What's the difference between inductive and deductive reasoning?

Inductive reasoning is a bottom-up approach, while deductive reasoning is top-down. Inductive reasoning takes you from the specific to the general, while in deductive reasoning, you make inferences by going from general premises to specific conclusions.

Examples-

Inductive Reasoning: The first lipstick I pulled from my bag is red. The second lipstick I pulled from my bag is red. Therefore, all the lipsticks in my bag are red.

Deductive Reasoning: The first lipstick I pulled from my bag is red.

A deductive approach involves the learners being given a general rule, which is then applied to specific language examples and honed through practice exercises. An inductive approach involves the learners detecting, or noticing, patterns and working out a 'rule' for themselves before they practise the language.

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.

Thus ,I know I'll have to work a double shift today because I have a migraine and every time I have a migraine I get stuck pulling a double is and example of Deductive reasoning . Because a  deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.

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Answer:

c = 6

Total: 114

Step-by-step explanation:

The ratio of the number of cans Jordan recycles to the number Ellen recycles is 7:12.

The ratio of the number of cans Ellen recycles to the number of cans Jordan recycles is 12:7.

Jordan recycled 42 cans.

Ellen recycled 42 × 12/7 = 6 × 12

c × 12 = 6 × 12

c = 6

Total: 42 + 72 = 114

If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.

Calculation for the rate of Yumi

Yumi=5/12×60

Yumi=25 minutes

Rate=50/25

Rate=2

Calculation for the rate of Eric

Eric=2/5×60

Eric=24 minutes

Rate=48/24

Rate=2

Hence, Both Yumi and Eric has the same rate which is 2.

Therefore If Yumi takes 5/12 hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 hour the student that can complete math problems at a greater rate of problems per hour is: They solve the same number of problems per hour.

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Answer:

( x + y + z )( x^2 + y^2 + z^2 - xy - yz - zx )

Step-by-step explanation:

Use Identity to factor this long expression.

Hope this helps.

If 2 and 6 were both negative, their combined value would be -2 + (-6) = -8. The arithmetic outcome of adding the magnitudes of the numbers, but with the opposite sign, yields the sum of negative integers. In this instance, the product of -2 and -6 is -8, which symbolises the joining of two negative values that produces a negative outcome.

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Answer:

Step-by-step explanation:

Let the perimeter of the square with length of n be Pₙ.

According to given table we have:

We can put this as a sequence:

Common difference is:

The recursive formula for this sequence is:

The conditions on m and b such that the linear function y = mx + b is its own inverse is 1 and 0 respectively.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. It's look like the slope-intercept form of a line which is expressed as y = mx + b.

Or, it is a function that represents a straight line on the coordinate plane.

It is given that the linear is b,

y = mx + b

So, inverse of this function will be :

x = my + b

my = x - b

y = (1/m)x - b/m

Then, for both functions equal

m = 1/m and -b = b

So, m must be 1 and b must be 0.

Therefore, the value is of the m and b of the given equation y = mx + b is its own inverse will be 1 and 0 respectively.

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Answer:

f(x) = 4x³ - 7x + 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Check

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula above

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) =

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above,

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54 = 1318

f(x) = 4x³ - 7x + 5(a). f(0) = 5 Checkif x=0,using the formula abovef(0) = 4(0)³ - 7(0) + 5 = 0 - 0 + 5 = 5. ✓(b). f(7) = Using the formula above, f(7) = 4(7)³ - 7(7) + 5 = 4(343) - 49 + 5 =1372 - 54 = 1318

(c). f(-5) =

Using the formula above

f(-5) = 4(-5)³ - 7(-5) + 5

= 4(-125) + 35 + 5

= -500 + 40

= -460

*remember to use a calculator to check the answers

Hope this helps xoxo....

Answer: 1328

Step-by-step explanation:

4*7^3 - 7*7 + 5 = 1328

Answer: Zero

Step-by-step explanation: The bars are meant trick you. git cuh

Answer:

0

Step-by-step explanation:

−3+3

=−3+3

=0

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Answer:

The width is 16 cm.

Step-by-step explanation:

[tex]l = 4w[/tex]

[tex]lw = 4 {w}^{2} = 1024[/tex]

[tex] {w}^{2} = 256[/tex]

[tex]w = 16[/tex]

Answer:

F=10, S=26

Step-by-step explanation:

We know that the base is 24. Using that information, 10^2+24^2=26^2 which is a pythagorean triple

The height of the tree in the mural should be 22.5 feet.To determine the height of the tree in the mural, we can set up a proportion using the given information:

Devon's height in the mural: 4.5 feet

Devon's actual height: 6 feet

Tree's height in the mural: Unknown (let's denote it as x)

Tree's actual height: 30 feet

The proportion can be set up as follows:

(Devon's height in the mural) / (Devon's actual height) = (Tree's height in the mural) / (Tree's actual height)

(4.5 feet) / (6 feet) = x / (30 feet)

Now, let's solve for x by cross-multiplying:

4.5 feet * 30 feet = 6 feet * x

135 feet = 6x

Now, divide both sides of the equation by 6 to find x:

x = 135 feet / 6

x = 22.5 feet

So, the height of the tree in the mural should be 22.5 feet.

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The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

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Answer: y= -2/3 x + 1/3

Step-by-step explanation:

The first thing you need to do is but it into standard y = mx + b form, where m is the slope of the line and b is the y-intercept. Using algebra, we can turn 3y + 2x = 1 into y = -2/3x + 1/3. the slope is -2/3 which means you start at the y-intercept (0,1/3) and go down 2 and to the right 3. Putting it on paper or in a graphing simulator will give you this line. The point on the y-axis is the y-intercept and the point on the x-axis is the x-intercept.

Answer:

make 3y subjet of the fomulae then subtract 2x then divide by 3 both sides then the ans will be y= -2x+1/3

B. Neither, because it is within two standard deviations of the mean.

Given; A certain group of test subjects had pulse rates with a mean of 78.9 beats per minutes.

Standard deviation of 11.7 beats per minute.

Range Rule of Thumb:

Standard deviation = Range/4.

Range = 4×SD.

           = 4×11.7

           = 46.8

The "usual" range for this situation is,

78.9-2(11.7) to 78.9+2(11.7) = 55.5 to 102.3

Significantly low will be less than 55.5

Sig high will be greater than 102.3

Pulse rate - Mean = 92.3 - 78.9 = 13.4                              

This value below mean

Then check 2×Standard deviation = 2×11.7= 23.4                              

This value is also below the mean value.

Significantly low values are 55.5 beats per minute or lower.

Significantly high values are 102.3 beats per minute or higher.

Hence it is within two standard deviations of the mean.

Therefore, the answer is B Neither, because it is within two standard deviations of the mean.

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The function (r •q)(-3) =(q •r)(-3)  and they are equal to -40

What are algebraic functions with example?

Given the following functions

q(x) = 2x+2

r(x) = x² +1

Taking the product

q(x)*r(x) = (2x+2)(x² +1)

Note that according to the communatative law, (r •q)(x) = (q •r)(x)

(r •q)(-3) =(q •r)(-3) = (2(-3)+2)((-3)² +1)

(r •q)(-3) =(q •r)(-3) = (-4)(9+1)

(r •q)(-3) =(q •r)(-3) = -4(10)

(r •q)(-3) =(q •r)(-3) =-40

Hence the function (r •q)(-3) =(q •r)(-3)  and they are equal to -40.

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The complementary angles are: 66.7° and 23.3°.

Two angles are said to be complementary if they both have a sum of 90 degrees when added.

Thus, we have the following:

One of the angles is represented as x.

Second angle = x - 43.4

Therefore:

x + x - 43.4 = 90

2x - 43.4 = 90

2x = 90 + 43.4

2x = 133.4

2x/2 = 133.4/2

x = 66.7°

First angle = x = 66.7°

Second angle = 66.7 - 43.4 = 23.3°

Therefore, the complementary angles are: 66.7° and 23.3°.

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The slope of the line is 1/2.

The slope is a measure of the steepness of a line, or a section of a line, connecting two points.

Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Given:

x=-5,0,4,8,13 and y=-7,3,11,19,29

To find the slope

m= (0-(-5))/(3-(-7))

m=0+5/ 3+7

m=5/10

m= 1/2

Hence, the slope is 1/2.

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Answer:

80

Step-by-step explanation:

Simply reverse the steps.

In the end he has 60, before that he got 20 dollars for cutting grass, so subtract 20.

Now he has 40, which is after he spent half of his money on games, so multiply it by 2.

This is where he started, and he has 80 dollars saved.

The probability that she selects all 4 blue disks is 0.0317.

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Now, according to the question;

There is a total of 2 green disks.

There is a total of 4 blue disks.

There is a total of 3 yellow disks.

The formula for selecting the combination of 4 blue disks are

Probability = (combination for 4 blue)/ Total combination for 9.

The combination is given by the relation;

ⁿCₓ = n!/{x!(n-x)!}

The combination for getting 4 blues is-

n is the total blue disks = 9

x is the selected blue disks = 4

⁹C₄ = 9!/{4!(9-4)!} = 126

The required probability = 4/126

The required probability = 0.0317

Thus, the probability that she selects all 4 blue disks is 0.0317.

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11:35 will be the omitted number in the supplied sequence.

A list of components that have been arranged in a sequential fashion, with members coming either before or after, is referred to as a sequence.

The order will be provided as

9:47, 10:21, 10:57, ?, 12:15

The two increases the gap between the two numbers.

Consequently, there will be a 36-second gap between 10:57 and 10:21.

The distance between the following number and 10:57 will then be 38. The following number will be

→ 10: 57 + 00:38

→ 11: 35

Thus, 11:35 will be the following number.

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The real-world description of the expression could be: John's age is one-fifth of his sister's age

The expression is given as:

2x/10

To determine the real-world description of the expression, we simply represent the variable x with a real-world expression

Take for instance:

x represents the age of a boy

So, the real-world description of the expression could be:

John's age is one-fifth of his sister's age

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The correct option is; Associative Property of Addition.

For the given question;

The equation formed by the given statement is -

5 + [(-3x) + 4] = [5 + (-3x)] + 4

Observe the stated equation and comparing with the general equation;

The values are arranged in the form of associative addition.

Check the values;

LHS = 5 + [(-3x) + 4] ; simplifying,

5 -3x + 4 = 9 - 3x

RHS =  [5 + (-3x)] + 4 ; simplifying,

5 - 3x + 4 = 9 -3x

As, LHS = RHS and addition is being done.

Thus, the given equation shows the associative property of addition.

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Answer:

Divide one number by the other, your quotient is the answer.

Answer:

4 lemons per pitcher basically by looking at the graph you can determine each pitcher increased by a steady pattern of 4 lemons per pitcher.

Example: 2x=8, x=4, 2(4)=8, 8=8 true, the x and y value is cannot be 0 for this equation since no workers means no lemons. If I subtract back by -4 the graph would look like: 1 4, 0 0. Proving this. Also another example I can do is 3x=12, divide 3 by both side x=4, plug them in, 12=12 which is true. Keep in mind X means Pitcher so 4 is correct.

Oh yea less compilcated way is to just look a graph I did all those step to prove to you. Good luck!

Step-by-step explanation:

If the two angles are supplementary then the value of x is 33°.

Two angles that sum to a straight angle or 180° are called supplementary angles.

If the two given angles are supplementary then we can create a linear equation in x of the form:

m∠1+m∠2=180°

Substituting the values we get:

3x°+(x+48)°=180°

or, 4x°+48°=180°

or, 4x°=180°-48°

or,4x°=132°

or, x°=33°

Hence the value of x is 33°.

Disclaimer: The complete question should be: if m< 1=3x° and m2 = (x+48)° are supplementary find the value of x.

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Answer: I think this is a trick question because they are always either greater or less than each other

Step-by-step explanation:

Answer:

s

sStep-by-step explanation: