2.Select all the expressions that will result in a rational number.

2.Select All The Expressions That Will Result In A Rational Number.

Answers

Answer 1

Answer:

D and E

Step-by-step explanation:

A. 5/6 + √12/3 = 5/6 +2√3/3 = 1/6( 5 + 4√3)

→ Irrational

B. 5/6 × √12/3 = 5/6 × 2√3/3 = 5√3/9

→ Irrational

C. 5/6 × √12 = 5/6 × 2√3 = 5√3/3

→ Irrational

D. 5/6 - √36/3 = 5/6 - 6/3 = 5/6 - 12/6 = -7/6

Rational

E. 5/6 + √36/3 = 5/6 + 6/3 = 5/6 + 2 = 2 5/6

Rational  

Related Questions

mn + p = 2
Solve for m

Answers

Answer:

m = [tex]\frac{2-p}{n}[/tex]

Step-by-step explanation:

Given

mn + p = 2 ( subtract 2 from both sides )

mn = 2 - p ( isolate m by dividing both sides by n )

m = [tex]\frac{2-p}{n}[/tex]

Alonzo earns 8% commission on vacuum cleaner sales. This past month, Alonzo sold 70 units at $150.00 each. How much did Alonzo make in commissions for the past month?

Answers

Answer:

$840

Step-by-step explanation:

price  of 1 vacuum cleaner = $150

total no . of vacuum cleaner sole = 70

thus,

price of 70 vacuum cleaner sold = 70*price  of 1 vacuum cleaner

price of 70 vacuum cleaner sold = 70*$150 = $10,500

commission of Alonzo = 8% of total vacuum cleaner sold

commission of Alonzo = 8% of $10,500

commission of Alonzo = 8 /100 * $10,500 = $840

Thus, Alonzo made $840 in past month

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated in quadrant 1? Why?

A. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of angles are congruent

B. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of angles are congruent

C. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of sides and corresponding pairs of angles are congruent

D. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of sides and corresponding Pairs of angles are congruent

Answers

Answer: C. Explanation: congruent triangles must have both equal angles and equal sides. The triangles with vertices at (-5, -5), (-3, -1), and (-3, -5) has the same proportions as the parent triangle, making them congruent.

Choose a justification for each step in the derivation of the sine difference identity.

Answers

Answer:

Step-by-step explanation:

The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.

Given:

The given expression is [tex]\sin (x-y)[/tex].

To find:

The justification for each step.

Explanation:

Cofunction identities:

[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]

[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]

Cosine difference identity:

[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]

Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].

Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].

We have,

[tex]\sin (x-y)[/tex]

[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex]                                             Step 1: Cofunction identity

[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex]                                                 Step 2: Distributive property

[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex]                                            Step 3: Associative property

[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex]                                        Step 4: Factoring out   

[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex]       Step 5: Cosine difference identity

[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex]                           Step 6: Cofunction identity

[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex]                                Step 7: Cosine function is even, sine function is odd

Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.

Learn more:

https://brainly.com/question/20919234

gia puts 24 stickers into 4 equal groups how many stickers are there in each group Enter the correct answer in the box

Answers

Answer:

6

Step-by-step explanation:

just do 24 divided by 4 and you get 6 and to check it do 6*4 and its 24

!!!ANSWER ASAP 100 POINTS!!! ANSWER BOTH AND TELL ME EXACTLY WHAT GOES IN EACH BOX

Answers

Answer:

1. 7¹⁰

2. 9⁸

Step-by-step explanation:

1. 7 = 7¹

Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.

7⁹⁺¹ = 7¹⁰

2. Add exponents

9²⁺⁶ = 9⁸

I need a quick reply if possible

Answers

Answer:d

Step-by-step explanation:

Answer:

d is the answer to your question

x–2(x+1)+3(x+2)=x–4
(show work too please)

Answers

Answer:

x = -12

Step-by-step explanation:

x-2(x+1)+3(x+2) = x-4 (equation)

x-2x+2+3x+6 = x-4 (simplify)

2x+8 = x-4 (combine like terms)

x+8 = -4 (subtract x from both sides)

x = -12 (subtract 8 from both sides)

Plz Help!
A function f represents the percentage of life remaining in a cell phone battery. The life of a cell phone battery is dependent on the number of minutes, a , that a cell phone has been in use. In the context of the problem, explain the meaning of the following statements:


D. f(22)


E. f(a) = 50

Answers

Answer:

I need help with that too

Step-by-step explanation:

Joan Buys a large pizza and divide it equally among her 4 friends how many pizza does each friend get

Answers

Answer:

Just like the first one the answer should be 1/4 because you divide it equally among 4 friends

Step-by-step explanation:

The co-interior angle of 105 degree is ​

Answers

Answer:

[tex]75 \: \: degrees[/tex]

Step-by-step explanation:

[tex]180 - 105 =7 5[/tex]

The sum of the co interior angles is 180 degrees

Point Ris on line segment QS. Given QR = 3x – 8, QS = 3x, and
RS = 2x, determine the numerical length of RS.
Answer: RS
Submit Answer
attempt 1 out of 2

Answers

Answer:

RS = 8

Step-by-step explanation:

Given that R is on QS , then

QR + RS = QS , substitute values

3x - 8 + 2x = 3x , that is

5x - 8 = 3x ( subtract 3x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

RS = 2x = 2 × 4 = 8

If a player had the following cards what is the value of his hand?

Answers

Wut r the following cards

00:00 Choose all of the addition problems in which you add zeros to align place values in the addends. A. 0.04 + 5 + 3.2 B. 18.9 +0.7 C. 1.2 +5.75 +2.8 D. 6.23 + 11.01 + 4.99 o E 15.03 - 23.23 its a mutiple choice question​

Answers

Answer:

a-8.24  b-19.6  c-9.75   d-17.24   e-−8.2

Step-by-step explanation:

18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer​

Answers

Answer:

15

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

15

solve the proportion 1/6 ÷3/4​

Answers

Answer:

the answer is 2/9

Step-by-step explanation:

1/6 ÷ 3/4

= 1/6 × 4/3

= 4/18

= 2/9

Write the equation of the graph to the right in Slope Intercept Form.

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

find your slipe and intercept using y=mx + b. mx, being slooe you'd use rise over run. And the b is your y-intercept, being 5.

1. − p + 6p ≤ 4 + 6p

Answers

Step-by-step explanation:

-p + 6p <_ 4 + 6p

5p <_ 4 + 6p

-4 <_ p

-4 less than or equal to p

Which of the following is equivalent to
the expression below?
7h +1
A. h +7
B. 7(h + 1)
C. (5h + 2) + 1
D. (5 + 2)h + 1
o
O
D
What is the product of 2.52 and 3.4?*

Answers

Answer:

The answer is D

Step-by-step explanation:

(5+2)h+1 add 5 and 2 together and you get 7h+1

Find the vertex of the graph of the function.
f(x) = 3x^2 - 18x + 24
O (4,-2)
O (-2, 4)
O (-3,3)
O (3,-3)

Answers

It’s (3,-3)

Complete the square for 3x^2 - 18x + 24
Which will be 3(x-3)^2-3
And then set y equal to the new right side
y=3(x-3)^2-3
Use the vertex form y=a(x-h)^2
a=3
h=3
k=-3
Your answer is (3,-3)
Hope this helps:)

The table shows four swimmers who raced against each other at a swim meet.
Which list shows the swimmers in order by their completion times from slowest to fastest

Answers

Answer:

Since you didn't provide the answer choices, it should look like something like this:

(from slowest to fastest)

Addison

Michael

Bryce

Susan

Explanation:

When you convert all the fractions into decimals, you can see and compare times easier.

Susan > 25.09

Bryce > 25.50

Addison > 25.80

Michael > 25.33 (the 3's go on practically forever, thats why it is usally shortened.)

A circular pool has an area of approximately 154 square feet. To the nearest foot, how much fencing is needed to completely surround the pool?

Answers

Given parameters:

Area of pool = 154ft²

Unknown:

The circumference or perimeter of the pool = ?

Solution:

The amount of fencing needed for the pool is the same as the circumference of the pool or the perimeter of the pool.

To solve this problem, we need to find the radius from the given area.

    Area of a circle  = π r²

        154  = π r²

           r² = [tex]\frac{154}{3.142}[/tex]   = 49

                    r  = 7ft

Now the circumference of a circle = 2 π r

                                                         =  2 x π x 7

                                                         = 44ft

The circumference of the circle is 44ft

   

i dont understand what the question is asking ​

Answers

Answer:

-9 ≤ x

Step-by-step explanation:

Thsi is probably right

hello me please asap​

Answers

Answer:

7,10,19 and 4,5,9

Step-by-step explanation:

According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9

4. Classify the number 15.
A. Whole, integer, rational, real
B. Natural, whole, integer, rational, real
C.Integer, rational, real
D. rational, real

Answers

A might be it but don’t quote me

what is 9x2y-3 if x = 5 and y = 3.

Answers

Answer:

267

Step-by-step explanation:

Find the perimeter of triangle A(-2,2), B(10,2), C(10,7).

Answers

Answer:

I believe the answer is 30 units

Step-by-step explanation:

Which rate can you set StartFraction 7 miles Over 1 hour EndFraction equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
StartFraction 7 hours Over question mark miles EndFraction
StartFraction 49 hours Over question mark miles EndFraction
StartFraction question mark miles Over 7 hours EndFraction
StartFraction question mark miles Over 49 hours EndFraction

Answers

Answer (It should be D, or     ? miles

                                                 ------------

                                                 49 hours

Step-by-step explanation:

If i'm wrong then oh-well i took my unit test online then got the answer wrong so i could see which one was correct before i actually took the unit test... hope i'm correct for you..this is correct on my unit test practice!

Which answer choice shows two hundred two and two thousandths?
OA) 200.02
B) 200.202
OC) 202.02
OD) 202.002

Answers

Answer: D

Step-by-step explanation:

Two hundred two =202

The thousands place is the third place=.002

Answer:

D

Step-by-step explanation:

3.6 + 8.3 find the sum plz need help​

Answers

Answer:

11.9

Step-by-step explanation:

just add the two numbers :)

Answer:

the answer 11.9

Step-by-step explanation:

add by lining up the decimals

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