Given the following statements, which answer uses deductive reasoning to draw the conclusion?
If a number is even, then it is divisible by 2. g = 14.

A. The number is divisible by 2, therefore, the number is 14.

B. The number 14 is even and is greater than 2

C. The number 14 is even and therefore is divisible by 2.

D. The number 14 is a real number

Answers

Answer 1
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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Answer 2

The statement which uses deductive reasoning to draw the conclusion is C. The number 14 is even and therefore is divisible by 2.

If a number is even, then it is divisible by 2. g = 14.

Which statement draws the conclusion?

The statement which shows the logical reasoning could be the correct one.

A. The number is divisible by 2, therefore, the number is 14.

Here any even number can be divisible by 2 other than 14.

B. The number 14 is even and is greater than 2. The given conclusion does not mention any number that is greater than 2.

C. The number 14 is even and therefore is divisible by 2. This is the correct statement.

D. The number 14 is a real number.

Learn more about reasoning function here:

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Related Questions

The question is in the photo.

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i see no photo though sorry i can’t help

Which function's graph has x-intercepts at x = - 2 and x = 4 , and a vertex at point (1, - 18) ?

Answers

Answer: (x+2)(2x-8)

if you let x = 1 it give h(x) = -18

PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE

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Step-by-step explanation:

First u have to do the work of bracket and the solve

What is the measurement of angle a

Answers

B : 30
95+55 = 150
180-150 = 30

I need the answer. Please help.

Answers

Answer:

300°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × [tex]\frac{180}{\pi }[/tex] , then

degree = [tex]\frac{5\pi }{3}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel π on numerator/ denominator )

            = [tex]\frac{5(180)}{3}[/tex]

            = 5 × 60°

            = 300°

what does it mean if your gf constantly sends you pics of her she keeps sending pics to me

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Answer:

She probably wants attention from you maybe compliment her outfit or something like that.

The black triangles are similar. Find the value of x.

No links please!!

Answers

9514 1404 393

Answer:

  16

Step-by-step explanation:

The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...

  x = (4/7)(28)

  x = 16

in the figure below, two lines intersect, forming four angles. Write your answer in the space provided.
a =
b=
C=​

Answers

Answer:

Step-by-step explanation:

Angle A and 50 will combined have an angle of 180

Angle A = 180-50

Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.

You got this!

7. A particular compound decays according to the equation y = ae-0.0736t, where tis in days. Find the
half-life of this compound.
a. about 9.1 days b. about 9.4 days
c. about 6.8 days d. about 7.4 days

Answers

Answer:

b. about 9.4 days

Step-by-step explanation:

Amount of the compound:

The amount of the compound after t days is given by the following equation:

[tex]y(t) = ae^{-0.0736t}[/tex]

The initial amount is:

[tex]y(0) = a[/tex]

Half-life:

t for which [tex]y(t) = 0.5a[/tex]. So

[tex]y(t) = ae^{-0.0736t}[/tex]

[tex]0.5a = ae^{-0.0736t}[/tex]

[tex]e^{-0.0736t} = 0.5[/tex]

[tex]\ln{e^{-0.0736t}} = \ln{0.5}[/tex]

[tex]-0.0736t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.0736}[/tex]

[tex]t = 9.42[/tex]

So about 9.4 days, and the answer is given by option b.

HELLO CAN SOMEONE HELP ME IM FAILING MATH NO FAKE ANSWERS PLS TY :)

Answers

Answer:

Area of rectangle = 10 units²

Area of triangle = 10 units²

Area of figure = 20 units²

Step-by-step explanation:

A video store's regular price of a video is $25.95, and
it's on sale for 25% off. What is the sale price of the video?
A) $19.46
B) $25.75
C) $6.49
D) $32.44

Answers

Answer:6.49

Step-by-step explanation:Discount = Original Price x Discount %/100

Discount = 25.95 × 25/100

Discount = 25.95 x 0.25

You save = $6.49

What is the area of the figure? Round to the nearest tenth.
8 in.
12 in.
A. 48.0 in.2
B. 62.0 in 2
C. 24.0 in.2
D. 96.0 in 2
O

Answers

Answer:

If the length and width are 8 and 12 than the area is 96. (D)

Step-by-step explanation:

Area is length x width.

12 x 8 = 96

Therefore, the area is 96.0 inches.

ANSWER ASAP WILL MARK BRAINLIEST

Answers

Answer: A

Step-by-step explanation:

An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.6 percent, and SAT I was last at 13.3 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?

Answers

Answer:

0.156

Step-by-step explanation:

Given that :

% of Explained variance by certain predictors of first year college grade :

SAT 11 scores = 17%

GPA = 15.6%

SAT 1 = 13.3%

Fitting a least squares line :

y = First year college GPA

x = high school GPA

THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%

r² = 15.6% = 15.6/100 = 0.156

A rectangular prism has a length of 9 inches, a height of 5 inches, and a width of 7
inches. What is its volume, in cubic inches?

Answers

Answer:

315 cubic inches

Step-by-step explanation:

To calculate the volume you multiply all the numbers together.

9 × 7 × 5 = 315

The volume of the rectangular prism is 315 cubic inches

Have a wonderful day! :D

Answer:
Two ships are docked 328.51 m apart.
What will be the distance, in kilometres, covered by Steven who did 10 laps between
the ships?
Answer:​

Answers

Answer:

0.32851 Kilometers i think

Step-by-step explanation:

What are m∠1 and m∠2?

Answers

Answer:

Angle 1 = 35

Angle 2 = 30

Answer B

Step-by-step explanation:

Angle 1)

You know the total angles in a triangle are 180

You also know that the angle across from 1, next to 115 has to be 180-115 (65) or , this gives you

180-80-(180-115)= 35

Angle 2 )

You know the total angles in a triangle are 180

You also know that the angle across from 85, next to 115 is the same value 65 as it was for the calculation of angle 1.

so this means

180-85-65 = 30

B is the correct answer

Can someone help Find the surface area

Answers

Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

= 1861.39 cm²

HELPP!! The transformation functions R, S, T, U, and V are shown below

Answers

Answer:

Point T(x, y) is translated 71 units up and then rotated 180° about the origin

Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.

Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).

If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).

If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).

If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).

If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).

You are curious why some apartments in West Campus cost more to rent than others. So you sample 30 one-bedroom apartments from across different West Campus apartment buildings and record the monthly rent (in dollars), along with the following explanatory variables: Area - square feet of living space in the apartment Age - how many years old the building that contains the apartment is Parking - whether or not the apartment comes with a parking space You ran a linear regression model predicting monthly rent and including the main effects of all three explanatory variables.

Required:
What is the population of interest for this study?

Answers

Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

A contestant on the Cash Show just answer a trivia question correctly. This question had 5 multiple choice answers. It is estimated that 10% of the general population know the correct answer to this question. What is the probability that contestant knew the answer rather than guessed it

Answers

Answer:

10% probability that contestant knew the answer rather than guessed it

Step-by-step explanation:

Since it is estimated that 10% of the general population know the correct answer to this question, for each contestant, there is a 10% probability that he knew the answer rather than guessing.

So the answer is 10% probability that contestant knew the answer rather than guessed it

Solve for the value of
b
b.
(3b+2)°
(7b-2)

Answers

Step-by-step explanation:

here is the answer click the photo

100 points What is the value of this question ? please help fastttt !!!!!!!!!!!!!!!

Answers

Answer:-5

Step-by-step explanation:

BRANLIEST TO CORRECT PERSON.. plss help!

Answers

Answer:

C

Step-by-step explanation:

When the expression has an equal sign there is only one solution

6x = 150

* divide each side by 6 *

6x / 6 = x

150 / 6 = 25

we're left with x = 25

The answer would be C, because the dot is in between 24 and 26 which would be 25 and x equals 25

1 + 1 = ??
pls help
~~SHOW YOUR WORK~~

Answers

Answer:

2

Step-by-step explanation:

1+1=2

the answer actually 2

Answer:

1+1 is equiavalent to the number two.

Step-by-step explanation:

You have one apple, you also have another apple, those apples make two apples. You are welcome.

Pls help will give BRAINLIEST

Answers

The answer is a is the the absolute value

Answer:

The first option

Step-by-step explanation:

Order of operations says that you raise everything in the parentheses to the third power as the 1st step.

2m^5^3 = 8m^5*3 = 8m^15

n^4^3 = n^4*3 = n^12

They are multiplied in the original equation, so multiply those and you get 8m^15n^12

I’ll mark brainlest

Answers

Answer:

2, 4

Step-by-step explanation:

State if the two triangles are congruent. If they are state how you know.

Answers

Answer:

ASA

Step-by-step explanation:

They are congruent by the ASA congruency.

The supply function for a product is given by p = 40 + 100 underroot 2x + 9, where x is the number of units supplied and p is the price in dollars. If the price is increasing at a rate of $1 per month, at what rate is the supply changing when x = 20?

Answers

the supply changing when x=20 is 40

HELP ME PLWASE I WILL GIVE ALL POINTS.

What value of x makes this equation true?
0.6x + 7 = 0.1x -8

Answers

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

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