Determine whether formulas u and v are logically equivalent (you may use truth tables or
properties of logical equivalences).
(a) u : (p ⇒ q) ∧ (p ⇒ q) v : p
(b) u : p ⇒ q v : q ⇒ p
(c) u : p ⇔ q v : q ⇔ p
(d) u : (p ⇒ q) ⇒ r v : p ⇒ (q ⇒ r)

Answer:

All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:

given the second expression:

x - y = 1

We'll replace y with it's value in the first expression:

x - (y) = 1

x - (5 - 2x) = 1

Now we can expand the resulting equation:

x - 5 + 2x = 1

So neither of the answers provided are correct.

You can then solve for x:

x - 5 + 2x = 1

x - 5 + 5 + 2x = 1 + 5

x + 2x = 6

3x = 6

3x/3 = 6/3

x = 2

After that, you can find y by plugging x into either of the two original equations:

y = 5 - 2x

y = 5 - 2(2)

y = 5 - 4

y = 1

Answer:

The answer is 154.8 ml

Step-by-step explanation:

In this question, the amount of pure acid is 18% of the total solution, that is, 18% of 860 milliliters. So

0.18*860 = 154.8 ml

The answer is 154.8 ml

Answer:

12

Step-by-step explanation:

you divide 24 by 2 because it is multiplication, and the opposite is division.

Answer:

Its would be A -11/31

Step-by-step explanation:

Answer:

C.) 45

Step-by-step explanation:

3x(2x - 7)

3 * 5 (2 * 5 - 7)

15 * (10 - 7)

15 * 3

45

Hope this helps :)

Answer:

4. b) 30

5. c) y=2/3x+9

6. y=2x-5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

[tex]B'=U-B[/tex]

[tex]B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}[/tex]

[tex]B'=\{b, c,f, g, h\}[/tex]

Therefore, only b, c, f, g, h are the elements of set B'.

Answer:

Step-by-step explanation:

collinear means co:together, or with like a coworker, and linear:line(s)

since points a, o, and d are on the same line, they are indeed collinear

triangle CDE is an equilateral since lines CE and ED are equal. 180/3 is 60, therefore each angle of triangle CDE has 60 degrees

triangle BCE: a right triangle.angle B is 90 degrees, C is 60 degrees E is 30 degrees.

Triangle ABE is a obtuse triangle, one angle is an obtuse angle, hence the name.angle A seems to be 120 Degrees and Angles Band E seem to be 30 degrees each

Step-by-step explanation:

Let the two parts be 7x and 5x.

7x=35 :.X=5

5x= 5×5=25

Thus,Total length of pole is 35+25=60

Answer:

y= 5x + 4

Step-by-step explanation:

slope ontercept

Answer:

I think its 5x + 4 if I did it right

Answer:

????????????????????????????????????????

Answer:

The answer is "Option b".

Step-by-step explanation:

In this question, the value of the correlation coefficient is 0.013 from the given information. It is the equation, which realized the indeed closer their correlation coefficient is to -1 or 1, the greater the positive correlation, although in this case, the value of the correlation coefficient is 0.013, close to "0".

Answer:

I might be small brain (which i am)

Step-by-step explanation:

But given the pattern i think it is 18 cans of soup for 20 people

Answer:

(12+x)(10 1/2+x)

Step-by-step explanation:

Ani dont know

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The prism will have

L=6, W=3 and H=4

not sure about the question, it is a rectangular prism,

it cant be a cube

Answer: 9+d=x or x=9+d

d-the new dvds

x-the unknown total

9-the dvds Zeke owned before

Answer:

I think 3rd!

.

.

.

.

.

.

.

Answer:

44 photos

Step-by-step explanation:

y = 44 + 24x

Answer:

1.75 degrees

Step-by-step explanation:

Answer:

C = 133.33°

Step-by-step explanation:

Apply the Law of Cosines to find angle C:

[tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]

Where,

a = 8.5 cm

b = 4.1 cm

c = 11.7 cm

Plug in the values

[tex] Cos(C) = \frac{8.5^2 + 4.1^2 - 11.7^2}{2*8.5*4.1} [/tex]

[tex] Cos(C) = \frac{-47.83}{69.7} [/tex]

[tex] Cos(C) = -0.6862 [/tex]

[tex] C = Cos^{-1}(-0.6862) [/tex]

C = 133.33°

Answer:

The correct answer is C. Renovation and Maintencance costs

Step-by-step explanation:

#Plato :)

The major cost of her investment would be C. Renovation and Maintencance costs.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.

The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.

Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.

The major cost of her investment would be C. Renovation and Maintencance costs.

Learn more about tax here:

brainly.com/question/10798743

#SPJ5

Answer:

6

Step-by-step explanation:

15/4 / 5/8 =

15/4 x 8/5=

120/40=

120/40 / 20/20= 6

hope it helpls

Answer:

6

Step-by-step explanation:

[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{5}{8} =[/tex]  [tex](\frac{15}{4} )(\frac{8}{5} )= \frac{120}{20} = 6[/tex]

Answer:

The greatest number of rows is 10.

To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.

So, the greatest number of rows you can have is 10.

Answer:

C

Step-by-step explanation:

Key skills needed: Inequalities

1) We are given that inequality.

The inequality is b ≤ 11 (any variable would work instead of "b")

--> It is "≤" and not "<" since there is a filled/shaded dot on the 11.

2) This means we solve all the ones with less than or equal to symbols.

A does not have a ≤ symbol, so A cannot be it

3) Solve each one:

B --> -k [tex]\leq[/tex] 11

Divide by -1 on both sides and get [tex]k \geq -11[/tex]  B cannot be it

C --> 44 ≥ b + 33

Subtract 33 from both sides and get b [tex]\leq[/tex] 11

Therefore C is your answer       C can be it!!

If you want to check D --> x -11 ≤ 11

Add 11 to both sides and get x ≤ 22 D cannot be it

Hope you understood and have a nice day!!

Answer:

C. 44 ≥ b+33

Step-by-step explanation:

Lets think about this. It really doesn't matter what the variable is also, we should immediately disregard A because its not a greater than or equal to sign. You should also, you how I can to this conclusion was that, SHADED circle in are always greater than or equal to or less than or equal to. EMPTY circle means greater than or less than. Therefore, you have already taken down A. B on the other hand would've worked if not for the fact that the variable is a negative. D on the other hand if you do the math of what the number line would be 11 -11=0 while it is less than or equal to 11. To get 11 or anything else other than below 0 you would fall off the number line. Therefore, because 44≥b+33 would be 44≥11+33 or anything less would work.

C. 44 ≥ b + 33

$4x-5$ is less than 25$

Answer:

[tex]V=7.06\ \text{inches}^3[/tex]

Step-by-step explanation:

Given hat,

The radius of cone shaped paper cup, r = 1.5 inches

The height of cone shaped paper cup, h = 3 inches

We need to find the volume of the cup. For a cone shaped, the volume is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Putting all the values in the above formula.

[tex]V=\dfrac{1}{3}\pi \times (1.5)^2 \times 3\\\\V=7.06\ \text{inches}^3[/tex]

So, the volume of the cup is [tex]7.06\ \text{inches}^3[/tex].