Given the conditional statement:
p <
Choose the logically equivalent statement.
Op →q
-p-9
9 → P
9-→ -p

Answers

Answer 1

Answer:

the third one

Step-by-step explanation:

B = p ∩ q

B is the common part of p and q

Answer 2

The conditional statement P→Q is logically equivalent to its contrapositive ¬Q→ ¬P .

What is Conditional Statement?

Conditional statements are ones that begin with a hypothesis and end with a conclusion or rationale. It is sometimes referred to as the "If-then" statement.

In mathematics, a statement is a declarative utterance that can only be true or false. A statement is sometimes known as a proposition. It is critical that there be no ambiguity.

A contrapositive assertion is created when we reverse the hypothesis and conclusion of a statement and disprove both of them.

To put it another way, we must first find the inverse of the supplied conditional statement before swapping the places of the hypothesis and conclusion to find the contrapositive.

We have, p→q , then the inverse of both the statements is given by ¬p and ¬q .

So, the contrapositive statement will be ¬p → ¬q

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Related Questions

HELP ASAP.....NO LINKS AND NO TROLLING PLS

How the equation changes
Flip over x-axis: __________ the entire function by a negative number

Flip over y-axis: __________ every x in the function by a negative number

Answers

Answer:

When you flip over the the x-axis, the y-coordinate becomes the additive inverse. I.e. ; if I flipped over the x-axis, a (x,4) would become (x,-4). When you flip over the y-axis the x becomes the additive inverse. (x,4) will become (-x,4)

Step-by-step explanation:

If this helped you, you're welcome. If you have any questions, LMK.

Have a good day, and good luck! ⭐

what is the product of? (2x - 1)(x + 3)

Answers

2x^2 + 5x - 3
You F.O.I.L it out and you get that. The ^2 means squares in case you didn’t know :)

What is the greatest six-digit number that can be written using all six digits below?
948285

Answers

Answer:

988542

Step-by-step explanation:

Highest numbers first because they hold greater values.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

need help fast----Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?
y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24

Answers

Answer:

The Answer Is B

Step-by-step explanation:

Took the quiz

Answer:

its B

Step-by-step explanation:

i did the quiz and im verifying the other person's answer :)

Kevin claims that the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself is 156° since 180(15−2)15=156. Decide if Kevin is correct. If Kevin is correct, enter 156 below. If Kevin is incorrect, enter the correct value of the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself.

Answers

Answer:

Step-by-step explanation:

The formula for calculating the interior angle of a polygon is expressed as;

sum of internal angle = (n-2)180 where;

n is the number of sides of the polygon in consideration.

Given a 15 sided polygon, n = 15

sum of internal angle = (15-2)180

sum of internal angle = (13)180

sum of internal angle = 2340

Hence kevin is wrong, the correct answer is 2340

Find the slope between the two points given. Then, use the slope and the first point to write the equation of the line in Point-Slope form. State the slope. Point One: (−4,5) Point Two: (0,0)

Answers

m(slope)= -5/4 point-slope(y-y1=m(x-x1)) so it would be y-5= -5/4(x+4)

The slope is -5/4 and the equation of the line in point-slope form is       y-5 = -5/4(x+4) + c.

What is slope of a line?

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The points are  (x1,y1) is (−4,5) and (x2,y2) is (0,0)

The formula of slope is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]m=\frac{0-5}{0-(-4)}[/tex]

⇒ [tex]m=\frac{-5}{4}[/tex]

The equation of the line in point-slope form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-5=\frac{-5}{4} (x-(-4))[/tex]

⇒ [tex]y-5=\frac{-5}{4} (x+4)[/tex]

Hence we can conclude that the slope is -5/4 and the equation of the line in point-slope form is y-5 = -5/4 (x+4).

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In parallelogram BKMH (angle)K = 6x – 15 and (angle) M = 2x + 19. Find the degree measure of angle B

Answers

Answer: 63

Step-by-step explanation:

What is the perimeter of a square if its area is 50 cm??

Answers

Answer:

28.4 (rounded)

Step-by-step explanation:

7.1 times 7.1 is 50. To calculate area, you need to multiply 2 of the sides. so, that is the side length.

then, you multiply it by 4 for all four sides. that would be 28.4.

Answer:

54 or 30

Step-by-step explanation:

Perimeter is adding all the sides together. Area is multiplying LxW and 50 can be gotten by multiplying 5 by 10, or 25 by 2. So if you went by 5x10, both lengths would be 5 and the widths would be 10 or vice versa. Same goes for if you multiplied 25 by 2.

A cylinder has a base radius of 10in and a height of 10in. What is its volume in cubic
in, to the nearest tenths place?

Answers

Answer:

3141.59

Step-by-step explanation:

V=πr2h=π·102·10≈3141.59265

Answer my question in the image please :)

Answers

Answer:

B

Step-by-step explanation:

I hope this helps! :) If you need an explanation, let me know. Other than that, have a lovely day!! <3

A(2;3) is ok on B and C

B(2 ; 6) is ok on B

C (8 ; 7) is ok on B as well

and

D (8 ; 3) is ok on B

=> B

how many milliliters are equivalent to 7.3 liters

Answers

7300 milliliters are equivalent to 7.3 liters

A 20% apple juice drink is mixed with a 100% apple juice drink. The function f(x)=(2)(1.0)+x(0.2)2+x models the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice. What will be the concentration of apple juice in the drink if 6 gallons of 20% drink are added? Give the answer as a percent but do not include the percent sign (%).

Answers

Answer: 40

Step-by-step explanation:

The concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

What are Functions?

The function is a type of relation, or rule, that maps one input to a specific single output.

Given that the functions that model the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice.

f(x)=(2)(1.0)+x(0.2)²+x

If the concentration of apple when 2 gallons of apple juice are added to 6 gallons of the other juice;

f(6) = (2)(1.0)+ 6(0.2)²+ 6

f(6) = 2.0 + 6.24

f(6) = 8.24

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

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Talhah drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?

Answers

Answer:

He will drive 180 miles in 4 hours. ( I think)

Step-by-step explanation:

If he keeps going at his rate which is 45 mph then if you multiply that by 4 then your answer should just be 180 miles.

Answer:

180 miles

Step-by-step explanation:

so he goes 45 miles per hour

since you need to find 4 hours just multiply 45 by 4

45 x 4 = 180

there's your answer

Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B ? (will give brainliest)

Answers

Answer:

No

Step-by-step explanation:

Jan says that 2 is between 0 and 3/4 on a number line. Do you agree? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

2 is a positive whole number with a value greater than 1. 3/4 is NOT greater than 1. So 2 is greater than both 0 AND 3/4 and cannot be between the two numbers.

No, Jan is wrong because 2 is not in between 0 and 3/4 on a number line.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Jan says that 2 is between 0 and 3/4 on a number line.

Here, The numbers on the number line are 0 and 3/4.

⇒ 3 / 4 = 0.75

So, We get;

⇒ 2 > 0

And, 3/4 < 2

Thus, The number 2 is not in between 0 and 3/4 on a number line.

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answer the questions!!!!!!!!

Answers

Answer:

hiiiiii

Step-by-step explanation:

Subtract 3x-4 from -7x+2 help asap I am on a math assignment and I don’t know the answer

Answers

the answer is :

[tex]-4x-2[/tex]

how to do it:

[tex]3x-7x-4+2[/tex]

[tex]3x-7x-2[/tex]

[tex]-4x-2[/tex]

The temperature of a hot iron rod drops by 8° every hour. If the temperature of the iron rod is 118°, find the temperature after 4 hours.

Answers

118 - 4 x 8 = 118 - 32 = 86°

What is the area of this composite figure

189.25 in2

228.5 in2

150 in2

78.5 in2

Answers

Answer:

189.25 in²

Step-by-step explanation:

First, let us find the area of the rectangle.

Area = Length × Width

        = 15 in × 10 in

        = 150 in²

Then let us find the area of the semicircle.

Area = [tex]\frac{1}{2}[/tex] × π r²

         =  [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5

         = 0.5 × 3.14 × 25

         = 1.57 × 25

         = 39.25 in²

Now let us find the total area of the composite figure.

Total area = Area of the rectangle + Area of the semi-circle.

                 = 150 in² + 39.25 in²

                 = 189.25 in²

11 find the measure of the interior angle.
12 and 15 find the measure of the exterior angle.

Answers

11. Both corners are 45 degrees because all right angles are 90 degrees and every triangle will measure to 180 degrees so if you add all them it’ll be 180. 12. 75 degrees. 15. Both corners are 45 degrees.

draw a graph of f(x) =(x-5)^2 by shifting rule​

Answers

[tex] \tt \tiny \gray{thanks}[/tex]

Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of taxable income. The city rate is 1.7% of gross pay. Medical and group life insurance is paid by the company. Social security and Medicare are withheld .Union dues are $156 per year. FIT is $67 per pay period what is your net pay for each weekly pay period

Answers

Answer:

First, in one year you win:

$28,460

Now yearly we can subtract:

3.6% for the taxable income

1.7% for the gross pay:

(Those apply to the complete annual salary)

3.6% + 1.7% = 5.3%

This in decimal notation is 0.053, then paying those two things we have left:

$28,460*(1 - 0.053) = $26,951.62

Now we need to subtract the union dues, which are $156 per year.

$26,951.62 - $156 = $26,795.62

Now, this is yearly, and we want to know the weekly pay.

In one year we have 365 days.

One week has 7 days.

Then in one year, we have:

365/7 = 52.14 weeks.

Then the pay per week is:

$26,795.62/52.14 = $513.92

And now, each week we must pay $88 for state personal deductions, and $67 for FIT.

Then we have:

$513.92 - $88 - $67 = $358.92

Then the net pay for each weekly pay period is: $358.92

Karen spent half of her weekly allowance playing mini golf. To earn more money her parents let her wash the car for $9.

What is her weekly allowance if she ended with $15?

Define the variable :

Write an equation with the variable to represent the situation:

Solution (value of the variable) :

Answers

Answer:

$12

Step-by-step explanation:

(1/2)allowance plus 9 = 15

1/2x + 9 = 15

allowance is $12

Which best describes the solution set of the compound inequality below?


2 + x ≤ 3x – 6 ≤ 12

a: 4 ≤ x ≤ 9
b: 4 ≤ x ≤ 6
c: –2 ≤ x ≤ 2
d: –2 ≤ x ≤ 3

Answers

I can't see it redo it so I can answer

Answer:

I believe the answer is B

The table shows the average cost of gasoline in the United States in dollars per gallon for the given years.

Year 1995 1996 2000 2001 2005 2006 2010 2011 2013 2014
Price per gallon ($) 1.13 1.14 1.33 1.49 1.88 2.36 2.77 3.15 3.39 3.40


(a) Write the least squares regression equation that models the data. Let x = time in years since 1995 and let y = price per gallon.

(b) Use the equation to estimate the price per gallon in 2030. Show your work.

Answers

From the given table, the year values, and prices, we have the following

equation and values;

(a) The least squares regression equation is; y ≈ 0.1316·x - 261.73

(b) The estimate of the price per gallon in 2030 is approximately $5.418

How can the equation and price be obtained from the table?

(a) The coefficients of the least squares regression formula are

presented as follows;

[tex]a = \mathbf{\overline y - b \cdot \overline x}[/tex]

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

Entering the given values in MS Excel, we have;

[tex]\overline x[/tex]  = 2005.1

[tex]\overline y[/tex] = 2.204

[tex]b = \dfrac{56.456 }{428.9} \approx 0.1316[/tex]

a = 2.204 - 0.1316 × 2005.1 ≈ -261.73

The least squares regression equation is therefore;

[tex]\underline{y =0.1316\cdot x - 261.73}[/tex]

(b) In the year 2030, we have;

The price, y ≈ 0.1316 × 2030 - 261.73 = 5.418

In the year 2030, the price per gallon will be approximately $5.418

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0.6x-5=0.1x+7 what is the answer

Answers

Answer:

x = 24

Step-by-step explanation:

0.6x=0.1×x+7+5

0.6x=0.1×x+12

0.6x−0.1×x=12

0.5x=12

x=24

Answer:

x=24

Step-by-step explanation:

Help.: 'A triangle has the side lengths shown.'
'Write an expression in simplest form that represents the perimeter of the triangle.'

Answers

Answer:

[tex]9x + 30[/tex]

Step-by-step explanation:

Perimeter is the sum of all sides so just add the length of all the sides together.

Remember to expand 4(x+3)

Please help me with this question.. please.

y= 30,000x - 2000
y= -2000x +30,000

Answers

Answer:

y = -2000x + 30,000 is the correct answer.

Step-by-step explanation:

For slope intercept equation we first determine the intercept on the axis.

The intercept is a constant value, c, in the slope intercept equation.

In this case, the constant value is 30,000.

Our height, y, is directly proportional to minute,x, taken to descend.

y = mx + c

M is the slope/ gradient which is -2000 since the airplane is descending.

Since the plane descends 2000 feet per minute, its height after 1 minute should be:-

y = -2000(1) + 30,000

y = 28,000

This calculation confirms our above answer.

there is a loss of 20% by selling a photocopy machine for rs 60000 at what price will the machine be sold to gain 12% find it

Answers

Answer:

Step-by-step explanation:

Loss is 20%

S.P=Rs60000

C.P=S.P*100/100-loss%

=60000*100/80=Rs75000

So he brought is at Rs75000

Now he wants 12% profit

So

S.P=(100+profit%)/100*C.P

=100+12/100*75000

=112/100*75000=Rs 84000

He will have to sell Rs14000 more to gain profit of 12%

Does the system of equations below have no solution, 1 solution, or infinite solutions

= 2 − 1

= 2 + 4

Answers

Answer:

no solution

Step-by-step explanation:

y = 2x - 1 → (1)

y = 2x + 4 → (2)

substitute y = 2x - 1 into (2)

2x - 1 = 2x + 4 ( add 1 to both sides )

2x = 2x + 5 ( subtract 2x from both sides )

0 = 5 ← not possible

This indicates the system has no solution

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