Which pairs of expressions below are equivalent? (Select all that apply)


5x + 3x − 2y and −2y + 8x


6x − 8x and 3(2x − 4y)


4x − 5y and 5y − 4x


5(2x − 3y) and 10x − 3y


x + y + x + y and 2( x + y )

Step-by-step explanation:

Domain: from 0 to 50 or [0, 50]

Range: from 0 to 100 or [0,100]

comment if you need any further guidance.

The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.

Let  x is the unknown value

We have to determine the value of x

[tex]Log_6 ( 1/36) = x....Given[/tex]

Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.

[tex]( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}[/tex]

[tex]Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6[/tex]

We know that,

[tex]log_aa=1[/tex]

Therefore by applying the above rule of log we have

[tex]Log_6 6 = 1[/tex]

Therefore we get

[tex]-2 Log_6 6 = -2(1) = -2[/tex]

Therefore option 2 is correct.

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Answer:

2

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

21x + 5 is an exterior angle of the triangle , then

21x + 5 = 5 + 13x + 40

21x + 5 = 13x + 45 ( subtract 13x from both sides )

8x + 5 = 45 ( subtract 5 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Answer:

x=5

Step-by-step explanation:

Angles Q and R are supplementary

13x  + 21x +5 = 180

10+34x =180

34x=170

x = 5

Answer: 54 Coins are not nickel( 16+14+24)

n= 74 - non nickel

n= 74- (penny+ dime+ quarter)

n= 74- (16+14+24)

Step-by-step explanation:

0.25 is the probability that the randomly selected candy is orange

Answer:

43/50

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

Answer:

A = 9/49 sq units

Step-by-step explanation:

To find area of a square multiply:

Area = side × side

To multiply a fraction times a fraction, multiply the top number × top number and bottom × bottom.

A = 3/7 × 3/7

A = 9/49 sq units

Answer:

x = 45 degrees

Step-by-step explanation:

The angles is 90 degrees because it is a corner. Half of 90 is 45.

Answer:2

Step-by-step explanation:1+1*1 is 2 there for this is the answer to life

ACtualy that is 42

Answer:

41.57

Step-by-step explanation:

took the test

Answer:

F is the base or variable.

if it is asking for a simplifed version of this its -3/f

Step-by-step explanation:

Reason:

There's a 30% chance they buy the popcorn, which means there's a 70% chance they don't buy it.

100% - 30% = 70%

Then convert the 70% to 0.7

Answer:

0.7 or 70%

Step-by-step explanation:

0.3 * 100 = 30%

100%-30% = 70%

You either buy or not. If 30% you don't then 70% you do.

Answer:

2

Step-by-step explanation:

h ( x ) = - x - 4

To find : h ( - 6 )

h ( - 6 ) = h ( x )

Here,

x = - 6

h ( - 6 ) = - x - 4

           = - ( - 6 ) - 4

           = 6 + 4

h ( - 6 ) = 2

Answer:

12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons

Step-by-step explanation:

1 tablespoon of butter for every 6 eggs makes the ratio 6:1

Now let's make the ratio for all of them:

12:2

15:3

24:4

9:1.5

We can simplify them

6:1

5:1

6:1

6:1

There is your answer,

1) 12 eggs Over 2 tablespoons

2) 15 eggs Over 3 tablespoons

3) 9 eggs Over 1.5 tablespoons

Hope it helped :)

The probability for the establishment to succeed and earn profits of $50,000 or more or not is option C.

This refers to the area of mathematics that has to do with the possibility of an event occurring.

Hence, we need to find the probability of the establishment succeeding and earning profits of $50,000 or more, or whether it is more likely for a new service establishment to succeed and earn profits of $25,000 or less is:

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[tex]\bold{Heya!}[/tex]

[tex]\huge \boxed {\underline{Proof \: is \: shown \: below:}}[/tex]

Hopefully This Helps ! ~

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[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

1/12

Step-by-step explanation:

Needed information

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.  

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

[tex]\sf P(counter\:not\:black)=\dfrac34[/tex]

[tex]\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14[/tex]

We are told that the probability that the counter is not white is 2/3.  

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

[tex]\sf P(counter\:not\:white)=\dfrac23[/tex]

[tex]\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13[/tex]

We are told that there are black, white and grey counters in the bag.  We also know that the sum of the probabilities of all outcomes must equal 1.  Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

[tex]\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

Here, it is given that the radius of sphere is 46.1 ft and we have to find the volume of the sphere .

So, we know that,

⇒ Volume(Sphere) = 4/3πr³

Now, Substituting the given values in the formula :

⇒ Volume(Sphere) = 4/3 × 3.14 × (46.1)³

⇒ Volume(Sphere) = 4/3 × 3.14 × 97972.18

⇒ Volume(Sphere) = 4/3 × 307632.64

⇒ Volume(Sphere) = 307,632.64 × 4/3

⇒ Volume(Sphere) = 1230530.59/3

⇒ Volume(Sphere) = 410176.86

Therefore,

The volume of a sphere with a radius of 46.1 feet is 410176.9 cubic foot.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, the radius of a sphere = 46.1 feet.

Here, volume = 4/3 ×3.14×46.1³

= 410176.864

≈ 410176.9 cubic foot

Therefore, the volume of a sphere with a radius of 46.1 feet is 410176.9 cubic foot.

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The statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.

A function assigns the value of each element of one set to the other specific element of another set.

The graph of the function is,

[tex]f(x) = -(x +3)(x - 1)[/tex]

It is positive, its value is above x-axis. For the function above, the solutions are,

[tex]x+3=0\\x=-3\\x-1=0\\x=1[/tex]

The value of x is lies between,

[tex]-3 < x < 1[/tex]

Thus, the statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.

Learn more about Function here:

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Work Shown:

[tex]a - \frac{1}{a} = 5\\\\\left(a - \frac{1}{a}\right)^2 = 5^2\\\\\left(a\right)^2 - 2a*\frac{1}{a} + \left(\frac{1}{a}\right)^2 = 25\\\\a^2 - 2 + \frac{1}{a^2} = 25\\\\a^2 + \frac{1}{a^2} = 25+2\\\\a^2 + \frac{1}{a^2} = 27\\\\[/tex]

Note: On the third step, I used the rule that [tex](x-y)^2 = x^2-2xy+y^2[/tex]

Answer:

11 / 12 or 0.9167

Step-by-step explanation:

Given:

3/4 + 1/6

Find:

Value with expression

Computation:

"3/4 added to number 1/6"

3/4 + 1/6

By taking LCM

[9 + 2] / 12

11 / 12 or 0.9167

brainliest?

Answer:

9

Step-by-step explanation:

We know she has a total of 45 Cenitmeter and she has five groups she needs to split the ribion into. 45/5 =9

9+9=18+9=27+9=36+9=45

1          2        3       4        5

Answer:

54

Step-by-step explanation:

3x -(7-x) = 29       remove the parens

3x - 7 + x = 29     simplify

4x -7 = 29            add 7 to both sides of the equation

4x = 36            divide by

x = 9

then 6x = 6 * 9 = 54

Answer:

54

Step-by-step explanation:

3x -(7-x) = 29

3x - 7 + x = 29

4x -7 = 29

4x = 36

x = 9

6x = 6 x 9

6 x 9 = 54

Answer:

Our answer has to be B because we need to develop an equation to solve for the value of each term in order to find the number pattern.

Step-by-step explanation:

This is a sequence problem.

You need to identify the relationships between the given number pattern.

If we look at -14 and -8, you can clearly see that something is happening.

If we were to do -14+6 that would equal to -8

Then we try the other one like -8 and -2. We can do -8 + 6 = -2

So our sequence/number pattern is that we're increasing by 6.

We could also develop an equation: -14 + x= -8

Our answer has to be B because we need to develop an equation to solve for the value of each term in order to find the number pattern.

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^6~~ = ~~9^{-3}\implies x^6~~ = ~~(3^2)^{-3}\implies x^6~~ = ~~3^{-6} \\\\\\ x^6~~ = ~~(3^{-1})^6\implies x=3^{-1}\implies x=\cfrac{1}{3^1}\implies x=\cfrac{1}{3}[/tex]

Answer:

3 & 8

Step-by-step explanation:

Hope this helps

Answer:

Alyssa will dip 3 apples for each apple

Step-by-step explanation:

because 6/8÷1/4=3

Answer:

9:13

Step-by-step explanation:

9 students : 13 students

dont wear glasses : wear glasses

Answer:

9:13

Step-by-step explanation:

If 13 students wear them and 9 do not, those are the only given numbers in the equation so they must be used for the ratio. In the second part, it tells you the students that do not FIRST and then the students that do SECOND. You have to put it in the correct order for it to be accurate. So the answer would be 9:13

hope this helps u :)

Answer:

The simplified expression would be x^2 + 17x.