Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that
apply.
p ^ q
p V q
p -> q
q -> p
p<-> q
q <-> q

Answer:

Length is 10

Width is 8

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

We are told that the length l is 2 more than twice the width w. In other words:

[tex]l=2+2w[/tex]

Also, we are given that the perimeter is 28. Therefore:

[tex]P=2l+2w\\28=2(2+2w)+2w[/tex]

Distribute:

[tex]28=4+4w+2w[/tex]

Combine like terms:

[tex]28=4+6w[/tex]

Subtract 4 from both sides:

[tex]6w=24[/tex]

Divide by 6:

[tex]w=4[/tex]

So, the width is 4.

And the length is 2 more than twice the width. Thus:

[tex]l=2+2(4)\\l=2+8=10[/tex]

The length is 10.

And we are done :)

Step-by-step explanation:

4√2 + √2 = 5√2 we add 4 and the invisible 1 in front of √2, the common root stays same

8√3 - 4√3 = 4√3 subtract 4 from 8 the common root stays same

2√3 x √32 ➡ 2√3 x 4√3 too add the expressions we first need to make the roots common then add 4 and 2

Answer:

1. [tex]5\sqrt{2}[/tex]

2. [tex]4\sqrt{3}[/tex]

3. [tex]8\sqrt{6}[/tex]

Step-by-step explanation:

Number 1:

We can treat [tex]\sqrt{2}[/tex]  as a variable in which we are multiplying 4 by. Let's call [tex]\sqrt{2}[/tex] x.

This makes our expression [tex]4x + x[/tex]. Combining like terms, we get [tex]5x[/tex]. This means that [tex]4\sqrt{2} + \sqrt{2} = 5\sqrt{2}[/tex].

Number 2:

Again, we can use the same logic as we did in number 1. Let's treat [tex]\sqrt{3}[/tex] as a variable y.

[tex]8y-4y[/tex]

Subtracting a y term from a y term will equal the difference between the coefficients times y. So it's [tex]4y[/tex]. This means that  [tex]8\sqrt{3}-4\sqrt{3}=4\sqrt{3}[/tex]

Number 3:

When we multiply radicals, we want to put the radicals in [tex]\sqrt{x}[/tex] form.

[tex]\sqrt{32}[/tex] is already in this form.

However [tex]2\sqrt{3}[/tex] is not.

[tex]2\sqrt{3}[/tex] is the same thing as [tex]\sqrt{3\cdot2^2} = \sqrt{3\cdot4} = \sqrt{12}[/tex].

Now we multiply these radicals by multiply the term inside the square root sign

[tex]\sqrt{32}\cdot\sqrt{12}=\sqrt{32\cdot12} =\sqrt{384}[/tex]

384 is divisible by 64, so:

[tex]\sqrt{384} = \sqrt{64\cdot6} = 8\sqrt{6}[/tex]

Hope this helped!

Answer:

its a bit cut off can u add the whole screen pls

Step-by-step explanation:

Answer:

KL NM

Step-by-step explanation:

that is the answer

Answer:

1,2,2,1,2

Step-by-step explanation:

on edg

       Conclusion: a slope of 0

        Conclusion: then it has an undefined slope.

A hypothesis, in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

given:

1. If a line is horizontal, then it has a slope of 0.

Hypothesis: line is horizontal

Conclusion: a slope of 0.

2. . A vertical line has an undefined slope.

Hypothesis: is there is a vertical line

Conclusion: then it has an undefined slope.

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Answer:

-10

Step-by-step explanation:

g(-3)=3×3 -4                                                              

       =9-4

       =5

Answer: 5

Step-by-step explanation:

g(x)=x²-4

g(-3)=(-3)²-4

g(-3)=9-4

g(-3)=5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

12.1

Step-by-step explanation:

To approximate this value, we simply need to know some perfect squares.  We know that the value 144 is the perfect square of 12.  And we know the value 169 is the perfect square of 13.

Note, that our value, 146 is far closer to 144 than to 169, so we know that we will be close to 12 as our approximation.

The distance from 144 to 146 is 2, while the distance from 169 to 146 is 23.

A rough fractional approximation can be found with 2/23 approximately 0.08.

For the solution then, our approximation of sqrt(146) ~= 12.08 ~= 12.1

Cheers.

The correct answer is 6 ft

Explanation:

It is known the customer bought 3 identical rugs, which means the size and radio of each rug was the same. Moreover, the total this customer paid for the rugs was $1350, which is equivalent to $450 for each rug as $1350 ÷ 3 = $450.  

Besides this, the black line in the graph shows at $450 (between 400 and 500 in the y-axis) the rugs have a ratio of 6 feet, which is shown in the x-axis as these two values intersect or align to form the black line. This means a carpet with a radius of 6ft costs $450, and therefore each of the rugs the customer bought had a radius of 6ft.

Answer: oop ;-;

Step-by-step explanation: We have two basic equations

A = B + 826         A is 826ft taller than B

A + B = 1516       Combined height is 1516 ft

Replace A with B+826 in 2nd equation and solve for B

B + 826 + B = 1516    Combine like terms

2B + 826 = 1516         Subtract 826 from both sides

2B = 690                    Divide both sides by 2

B = 690/2

B = 345 ft

We know that A = B + 826 so you simply need to do

that addition to have the height of both towers.

Answer:

4x−2

Step-by-step explanation:

Answer:

4x -2

Step-by-step explanation:

-2x+3-(5-6x)

Distribute the minus sign

-2x+3-5+6x

-2x+6x +3-5

4x -2

Answer:

My answer is 28,250Rs.

Area of a triangle=1/2b×h.

1/2×7×5=17.5.

Area of a rectangle=l×b.

20×15=300.

Area of rectangle-Area of the triangle=300-17.5=282.5m^2.

If 1m^2=100Rs.

then 282.5m^2=282.5×100=28,250Rs.

Answer:

Deshaun =  $590 - $35x

Isabel :  $790 - $55x

$590 - $35x = $790 - $55x

Step-by-step explanation:

For  Deshaun :

Amount in her account = $590

Amount she would have withdrawn by month x = $35 × x = $35x

The amount she would have in her account = $590 - $35x

For Isabel :

Amount in her account = $790

Amount she would have withdrawn by month x = $55 × x = $55x

The amount she would have in her account = $790 - $55x

Let x be the time when the money in their account would be equal  =

$590 - $35x = $790 - $55x

Answer:

Fractions , Rational numbers ,Real numbers

Step-by-step explanation:

-3/5 is arguably a real number

Answer:

2 and 12;

4 and 10;

5 and 9

6 and 8

Step-by-step explanation:

Given

Roll of two number cubes

Required

Determine the sums which have equal chance

Represent the sample space of both number cubes with S1 and S2

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

Next, get the outcome of roll two number cubes

Outcome = [tex](1,1)(1,2)(1,3)(1,4)(1,5)(1,6)\ (2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\ (3,1)(3,2)(3,3)(3,4)(3,5)(3,6)[/tex][tex](4,1)(4,2)(4,3)(4,4)(4,5)(4,6)\ (5,1)(5,2)(5,3)(5,4)(5,5)(5,6)\ (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)[/tex]

Next, get the sample space;[tex]S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11, 7,8,9,10,11,12\}[/tex]

Reorder from lowest to highest[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12 \}[/tex]

Next, form a frequency table

Sum -- Frequency

2 ----  -- 1

3 ----  -- 2

4 ----  -- 3

5 ----  -- 4

6 ----  -- 5

7 ----  -- 6

8 -----  -- 5

9 - ------ 4

10 ---  -- 3

11 --- ---- 2

12 ------ 1

From the above table, we can now determine the two sums that have equal probability;

The two sums that have equal probability have the same frequency;

Hence;

2 and  12 have the same chance of occurring

4 and  10 have the same chance of occurring

5 and  9 have the same chance of occurring

6 and  8 have the same chance of occurring

Answer:

5 and 8

Step-by-step explanation:

Answer:

x = 3.91039

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

4.32x + 1 = 17.8929

Step 2: Subtract 1 on both sides

4.32x = 16.8929

Step 3: Divide both sides by 4.32

x = 3.91039

Answer:

Sales= $90

Expenditures= $90

Step-by-step explanation:

The members of a cooking club are making cakes.

The cakes will be sold at a street fair price of $9 for each cake.

It cost $50 for a booth at the fair.

The ingredients for each cake cost $4

Let y represent the number of cakes that was sold

Since the price of each cake is $9 then,

Sales = $9y

Since the booth cost $50 and ingredients cost $4 then,

Expenditures = $50 + $4y

Sales = Expenditures

9y= 50 + 4y

Collect the like terms

9y-4y= 50

5y= 50

Divide both sides by the coefficient of y which is 5

5y/5= 50/5

y= 10

Sales= 9×10

= $90

Expenditures= $50 + 4(10)

= $50+$40

= $90

Hence the sales is $90 and the expenditures is $90

Answer:

x = 2

Step-by-step explanation:

8(7x-2)=96

7x-2 = 96 : 8

7x-2 = 12

7x = 12 +2

7x = 14

x = 14 : 7

x = 2

Answer:

Step-by-step explanation:

[tex]8\left(7x-2\right)=96\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8\left(7x-2\right)}{8}=\frac{96}{8}\\\\Simplify\\7x-2=12\\\\Add\:2\:to\:both\:sides\\7x-2+2=12+2\\\\Simplify\\7x=14\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}=\frac{14}{7}\\\\Simplify\\x=2[/tex]

Answer:

If MN = XY, and XY = AB, then MN = AB.  Transitive Property

If AB = CD, then CD = AB.  Symmetric Property

Segment CD is congruent to segment CD. Reflexive Property

Step-by-step explanation:

Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.

Symmetric Property states that for all real numbers a and b, if a = b, then b = a.

Reflexive Property states that for every real number a, a=a

1. Transitive property

2. Symmetric property

3. Reflexive property

The equivalence properties are Reflexive property, Symmetric property & Transitive property.

Reflexive Property : For every real number a, a=a

Symmetric Property : For real numbers a & b, if a=b then b=a

Transitive Property : For real numbers a, b, c, if a=b & b=c then a=c

1. If MN = XY, and XY = AB, then MN = AB ⇒ Transitive property

2. If AB = CD, then CD = AB ⇒ Symmetric property

3. Segment CD is congruent to segment CD ⇒ Reflexive property

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Answer:

Prime number

Step-by-step explanation:

Because it cannot be be multiplied by any other number less then it.

Answer:

Step-by-step explanation:

Answer:

We have 2 values to work with, both in terms of x. the first value is just x, our first number. The second value is 40% higher than the original.

x + (x + .4x) = 180

x + 1.4x = 180

2.4x = 180

x = 180/2.4

x = 75 1.4(75) = 105

Check:

75 * .4 = 30

75 + 30 = 105

Answer:

75, 105

Step-by-step explanation:

Let's let the two numbers be a and b.

The sum of them is 180. Thus:

[tex]a+b=180[/tex]

One of the number is 40% more than the other. In other words, let's let a be the bigger number:

[tex]a=1.4b[/tex]

Substitute this into the first equation:

[tex]1.4b+b=180[/tex]

Combine like terms:

[tex]2.4b=180[/tex]

Divide everything by 2.4:

[tex]b=75[/tex]

So, b is 75.

And their sum is 180. Thus, a is 180-75 or 105.

And we're done!

Answer:

[tex] \frac{w}{w + r} [/tex]

Answer:

Your answer is the third option

A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.

So for side "x" 1 is being added to each number and for side "y"  is being subtracted by 2

Answer: The better buy would be 8 bagels for $4.15

explanation: If you were to buy 6 bagels for $3.29, It would be about $.54 per bagel. but if you were to buy 8 bagels for $4.15, it is about about $.52 per bagel which makes it a better deal.

Answer:

108 seconds and 0.03 hours

Answer: The final number is 5

Step-by-step explanation:

Picked number: 10

STEP are all according to what you stated

10+5=15 (first sentence)

15+10=25 (second sentence)

25+5=30 (third sentence)

30÷2-10=5 (fourth sentence)

The final number is 5.

Answer:

Hey there!

Angela will have 7+2, or 9 cups of rice.

Let me know if this helps :)

Answer:

7/2

Step-by-step explanation:

Answer:

8.4 in by 8.4 in

Step-by-step explanation:

The area of a square is the side length squared.

Let s be the side length:

s^2 = 70

s = \sqrt(70) = 8.4 in

Answer:

   3                                            

1 -----                          

    25

Step-by-step explanation: