Determine if the relation below is a function.

(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)

Group of answer choices

Yes, this relation is a function.

No, this relation is not a function.

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

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Answer:

54

Step-by-step explanation:

45% * 120 = 54

Answer:

Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.

Answer:

A. x = 4

B. RQ = 6

C. 48 square units

Step-by-step explanation:

A. 3x - 2 = 10

3x = 12

x = 12/3

B. a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b = sqrt (100 - 64

b = 6

C. Area of a triangle = (b*h)/2

b = (2)(6) = 12

Area = (12 * 8)/2 = 48 square units

Answer:

Asa

Step-by-step explanation:

Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle

Answer:

2q+7r+8

Step-by-step explanation:

(q+3)+(q+2)+(7r+3)

Brainliest is very apprieciated!

The  IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.

We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.

Hence, the  IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

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Answer:

  a. 3942 kWh

  b. $473.04

  c. 1314 kWh

  d. $157.68

Step-by-step explanation:

There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...

  (0.45 kW)(24 h) = 10.8 kWh . . . . energy per day

Then in a 365-day year, the energy used is

  (365 da/yr)(10.8 kWh/da) = 3942 kWh/yr

__

At the rate of $0.12/kWh, the cost of running the pump is ...

  ($0.12/kWh)(3942 kWh/yr) = $473.04/yr

__

Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):

  1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump

__

The savings will be 1/3 of the cost of running the pump full time:

  1/3($473.04/yr) = $157.68/yr

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

Answer:

it is 7x-4

Step-by-step explanation:

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.

So, almond nuts have 3 pounds.

Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

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Answer:

A/ the first one

Step-by-step explanation:

Did the edg

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

Answer:

Organising the outdoor video surveillance

Step-by-step explanation:

See he is a manager.

Answer:

you would of read 3 pages

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

The line has a horizontal length of 2 units and a vertical length of 5 units

The line is then the hypotenuse h of a right triangle.

Using Pythagoras' identity

h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )

h = [tex]\sqrt{29}[/tex]

The length of the line given is √29 units.

Hence, the correct option is C.

Given is line on the cartesian plain we need to calculate its length.

Refer to the figure attached.

The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.

The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.

Let's denote the length of the hypotenuse as 'x'.

According to the Pythagorean theorem, we have:

x = 5² + 2²

Simplifying this equation:

x² = 25 + 4

x² = 29

To find the length of the hypotenuse, we take the square root of both sides:

x = √29

So, the length of the hypotenuse, in this case, is approximately √29 units.

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Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

Alternative method:

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

70

Step-by-step explanation:

As per question

We shall proceed in graphical way

And

Graph attached

Answer:

Its 7.908764333

Step-by-step explanation:

Trust me :)

Step-by-step explanation:

1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then

2. QS=10*2-7=14;

3. SR=5*2+3=13;

4. m(∠PSR)=15*2+42=72°;

5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

Answer:

With the increase of the value of a ,the value of the expression 20+a will also increase.

Step-by-step explanation: