How much did David earn if he earns $5.60 per hour and works 36 hours?​

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]

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

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Answer:2

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

ACtualy that is 42

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:

Alyssa will dip 3 apples for each apple

Step-by-step explanation:

because 6/8÷1/4=3

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:

Answer:

x = 45 degrees

Step-by-step explanation:

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

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.

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:

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.

[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:

It's B.

Step-by-step explanation:

Answer:

Flipping a coin to determine which participants in a study are in the control group versus the treatment group is a form of: blinding.

Step-by-step explanation:

Answer:

F is the base or variable.

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

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 = 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:

43/50

Step-by-step explanation:

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

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.

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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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:

28.8 inches tall

Step-by-step explanation:

47.2/5.9 = 8

8(3.6) = 28.8

Dividing the corresponding widths of the photos can help you find the scale factor. After finding the scale factor of 8 you can multiply the height to find the new scaled height of 28.8.

Answer:

3 & 8

Step-by-step explanation:

Hope this helps

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:

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 :)

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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Answer:

4/5

Step-by-step explanation:

All as percentages are:

0.6 = 60%

4/5 = 80% (largest)

0.75 = 75%

Therefore, Jake should select 4/5.

Answer:

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

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:

Read more about probability here:
https://brainly.com/question/13768116

0.25 is the probability that the randomly selected candy is orange