Test for the commutative property of union and intersection of the sets P = { x : x is all real numbers between 2 and 7} and Q = { x : x is all rational numbers between 2 and 7}

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

Answer:

5.8 * 10^26 kg

Step-by-step explanation:

If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth

From the question we were given the mass of the earth as 5.97 * 10^24

The mass of saturn is thus 95 * 5.97 * 10^24 =

576.15 * 10^24

This is 5.8 * 10^26 kg

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:

Sample Programmed Instructions Lecture TV Group Discussions

1 6 8 7 8

2 7 5 9 5

3 6 8 6 6

4 5 6 8 6

5 6 8 5 5

At the 0.01 level, what is the critical value?

a. 5.29

b. 1.00

c. 3.24

d. 1.96

Answer:

The correct option is (a)

The critical value is 5.29

Step-by-step explanation:

To obtain the critical value, we need to perform a satistical test on the given data.

Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.

ANOVA:

The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.

ANOVA in Excel:

Step 1:

In the data tab, select data analysis

Step 2:

Select "Anova single factor" from the analysis tools

Step 3:

Select the destination of input data in the "input range"

Step 4:

Select "columns" for the option "Group By"

Step 5:

Tick the option "labels in first row"

Step 6:

Set alpha = 0.01

Step 7:

Select the destination of output data in the "output options"

Output results:

Please refer to the attached results

As you can see in the output results, the critical value is 5.2922

Therefore, the correct option is (a)

Answer:

Statements 1,3 and 4 are correct

Step-by-step explanation:

We want to select the three correct statements as related to demand and supply.

Statement 1 is correct

An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease

Statement 2 is incorrect

A decrease in demand should drive down the prices of commodities for normal goods

Statement 3 is correct

A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods

Statement 4 is correct

An increase in demand would make suppliers increase the price they place on their commodities.

Answer:

Answer D

Step-by-step explanation:

Since 3 sides are congruent to 3 other sides, the two triangles are congruent due to the SSS postulate.

SSS stands for "side side side". It means that if you have three pairs of congruent corresponding sides, then the triangles are congruent. It's like saying every corresponding piece of two houses are the same, so the two houses overall must be identical.

Answer:

Option C is the correct option.

Please see the attached picture for full solution.

Hope it helps ...

Good luck on your assignment...

Answer:

Infinite Amount of Solutions

(1, -3.5) - 2nd Option

Step-by-step explanation:

If your systems of equations is:

x + 2y = -6

y = -1/2x - 3

Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.

If you systems of equations is:

x+ 2y = -6

y = -1/2 - 3

We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)

⇒Answer:

(1,-3.5)

⇒Step-by-step explanation:

Well to find the solution we need to do the following

Steps,

_______________________

Substitute y

Combine like terms

Sperearte x

When x is found substitute

Combine like terms

Single out y

_______________________

x + 2(-1/2x - 3) = -6

x - 1 - 6 = -6

x - 7 = -6

x = 1

y = -1/2(1) - 3

y = -1/2 - 3

y = -3.5

____________

Answer:

(1,-3.5)

Answer:

all real values of x

Step-by-step explanation:

The domain of g is the values that x can take

There are no restrictions on the values that x can take

Answer:

[tex]\boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

[tex]g(x)=5-2x[/tex]

The domain of a function is the set of all possible inputs for the function.

The value of [tex]x[/tex] can be all real numbers,

There are no restrictions on the value of [tex]x[/tex].

Answer:

$-9125

Step-by-step explanation:

6.25÷100 = 0.0625                                    50×12=600

0.0625×250= $15.625

6.25%=$15.625

15.625×600= $9375

$250-$9375=  -9125

The account be worth at the end of the 50-year period will be 9125 dollar.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years.

The rate is 6.25÷100 = 0.0625                                    

Therefore, 50×12=600

0.0625×250= $15.625

Since we know that 6.25%=$15.625

15.625×600= $9375

Thus we get;

$250-$9375 = -9125

Hence, the account be worth at the end of the 50-year period will be 9125 dollar.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

208cats

Step-by-step explanation:

⅝=tongue

³/16=straw=39cats

⅝+³/16=13/16

meaning total number of cats is 16/16

If ³/16=39cats

16/16=?

39×16/3

=208cats

Answer:

Step-by-step explanation:

- 8x + 44 ≥ 60

Subtract 44 from both sides

- 8x + 44 - 44 ≥ 60 - 44

- 8x ≥ 16

Divide both sides by -8 and flip the inequality sign

-8x/-8 ≤ 16/-8

x ≤ -2

x = {   ......... -4,-3,-2}

2) -4x + 50  < 58

Subtract 50from both sides

-4x + 50 -50 < 58- 50

-4x < 8

Divide both sides by -4 and flip the inequality sign

-4x/-4 > 8/-4

x > -2

x= {-1, 0 , 1 , 2....... }

Answer:

Step-by-step explanation:

1. [tex] - 8x + 44 \geqslant 60[/tex]

Move constant to R.H.S and change its sign

[tex] - 8x \geqslant 66 - 44[/tex]

Subtract the numbers

[tex] - 8x \geqslant 16[/tex]

Divide both sides of the inequality by -8 and flip the inequality sign

[tex]x \leqslant - 2[/tex]

2. [tex] - 4x + 50 < 58[/tex]

Move constant to the R.H.S and change its sign

[tex] - 4x < 58 - 50[/tex]

Subtract the numbers

[tex] - 4x < 8[/tex]

Divide both sides of the inequality by - 4 and flip the inequality sign

[tex]x > - 2[/tex]

Hope this helps...

Best regards!!

Answer:

3x( 3x -2)

Step-by-step explanation:

(3x) ^2 - 6x

9x^2 -6x

The greatest common factor is 3x

3x( 3x -2)

Answer:

C. (6, 5) and (3, -4)

Step-by-step explanation:

Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.

Let's try with (6, 5):

3x - y = 13

3 * 6 - 5 =? 13

18 - 5 =? 13

13 = 13

Since this is true, we know that (6, 5) is indeed a solution.

Now let's try with (3, -4):

3x - y = 13

3 * (3) - (-4) =? 13

9 + 4 =?13

13 = 13

Again, since this is true, then (3, -4) must be a solution.

Thus, the answer is C.

~ an aesthetics lover

Answer: c

Step-by-step explanation:

lol

Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15

Answer:

C

Step-by-step explanation:

She earns $3,567 and spends $2,895.  That means that $2,895 is taken away from how much she earns each month.  Subtraction is the correct operation, cancelling out choices B and D

$3,567 - $2,895

Now, you need to figure out the answer to the above problem.  Choice C is your answer.

$3,567 - $2,895 = $672

Answer:

none

Step-by-step explanation:

the man is carrying 3 sacks

each has 30 coconuts

so at total he has 90 coconuts:  30*3= 90  

he passe through 30 checkpoints

ha has to give 1 coconut for each sack

so he gives 3 coconuts each time: 3*1=3

there are 30 ckeckpoints so : 3*30= 90

he has spent all the coconuts unless he has a trick

He starts with 3 sacks with 30 in each sack.

He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.

The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.

Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.

Giving away 1 coconut at those checkpoints, he would have 25 left

Answer:

[tex]314 \frac{2}{7} cm^{2} [/tex]

Step-by-step explanation:

Surface area of sphere= 4πr², where r is the radius of the sphere.

Given that the diameter is 10cm,

2(radius)= 10cm

radius= 10 ÷2

radius= 5cm

Surface area of sphere

[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]

Answer:

L''(3,2), M''(0,2), N''(0,-2), O''(3,-2)

Step-by-step explanation:

The points that you start off with are L(-4,6), M(-1,6), N(-1,2), and O(-4,2), and when you reflect the rectangle across the y-axis, you will have (4,6), (1,6), (1,2), and (4,2). Now you can translate your rectangle down four and once to the left, which will give you L''(3,2), M''(0,2), N''(0,-2), O''(3,-2).

Answer:

x = - 3, x = 0.5

Step-by-step explanation:

Given

10x² + 5x - 15 = - 12 + 8x² ( subtract 8x² from both sides )

2x² + 5x - 15 = - 12 ( add 12 to both sides )

2x² + 5x - 3 = 0 ← in standard form

(x + 3)(2x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5

→Answer:

3.2 liters of lemonade were consumed during the party.

→Step-by-step explanation:

What we know

_____________________________________

Well there is 2,500 mL of strawberry lemonade

There are  2 liters of cherry

There are 5 deciliters of dog limeade

_____________________________________

So the 5 deciliters of dog limeade doesn't count because it is limeade, not lemonade.

The question is asking for the number of liters so we need to convert the 2,500 milliliters of lemonade to liters.

Which will be 2.5 liters of lemonade.

There are also 2 liters of cherry lemonade so 2.5 + 2 is 4.5.

So if 1.3 liters were left over doing 4.5 - 1.3 we get 3.2, meaning 3.2 liters of lemonade were consumed during the party.

Answer:

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

Answer:

BV

Step-by-step explanation:

i think is the missing gap

Answer:

C/2pi = r

Step-by-step explanation:

C = 2 pi r

divide with 2 pi on both sides to solve for r

C/2pi = r

Answer:

[tex]\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\<=>3(g^{-1}(x))^2 = x+5\\\\\\<=> (g^{-1}(x))^2=\dfrac{x+5}{3}\\<=>g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}[/tex]

hope this helps

The inverse of function is x= √1/3( y+5 )

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g(y), a function g is the inverse of a function f. . Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

Given:

g(x) = 3x² - 5

To find the inverse of the function take g(x) = y

Then, solve for x

y=  3x² - 5

y + 5=  3x²

x² = 1/3( y+5 )

x= √1/3( y+5 )

Hence, the inverse of function is x= √1/3( y+5 ).

Learn more about inverse function here:

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Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

Answer:

Step-by-step explanation:

x   - total number of people the crew contains

[tex]66\frac23\%x=\frac23x\\\\\\\frac23x\qquad\rightarrow\qquad 8\\\\:\frac23\,\qquad\ \qquad\ :\frac23\\\\x\ \qquad\ \rightarrow\qquad 8:\frac23=8\cdot\frac32=4\cdot3=12[/tex]

Answer and Step-by-step explanation:

When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.

ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.

Therefore ABCD is a parallelogram

Answer:

75

it has to be smaller then 87 and bigger then 53