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We started with a number with repeating decimals, and we conclude that the fractional form of 0.1515... is 15/99

Ok, so we have a repeating number.

First, we note that there are two digits that repeat consecutively, which are 1 and 5.

Then we can start by multiplying (and dividing, so we don't change our number) by 10 two times (or by 100, is the same thing).

0.1515...*(100/100) = (15.1515...)/(100)

Notice that still have the repeating pattern after the decimal point.

So, if now we subtract the original number over 100, we get:

(15.1515...)/(100) - (0.1515...)/(100) = 15/100

Now we rewrite the above expression as:

(0.1515...)*(100/100) - (0.1515...)*(1/100) = 15/100

If we take (0.1515...) as a common factor, then we have:

(0.1515...)*( 100/100 - 1/100) = 15/100

(0.1515...)*(99/100) = 15/100

Now we can isolate our number on the left side, so we get:

0.1515... = (100/99)*(15/100) = 15/99

In this way, we conclude that the fractional form of 0.1515... is 15/99.

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Answer:

Do u really need help in solving this question.? Use a calculator!

Answer:

[tex]y= -2+\frac{2}{3}x[/tex]

Step-by-step explanation:

Multiply both sides by 2

2x=3y+6

Move variable to the left-hand side and change its sing

-3y=6-2x

Divide both sides of the equation by -3

[tex]y= -2+\frac{2}{3}x[/tex]

Answer:

0.667 ÷ 4 = 0.16675

So there are 0.16675 pounds in every jar

A lack of job mobility and limited opportunities for advancement. Therefore, a balance between turnover and retention is desirable to foster a healthy and efficient labor market.

(1) In scenario (1), where the government requires every employee to receive health insurance from the firm regardless of their working hours, it can potentially impact efficient turnover. When employees are guaranteed health insurance regardless of how much they work, it may create a disincentive for them to seek higher-paying or more fulfilling job opportunities elsewhere. This could lead to lower turnover rates as employees may choose to stay with their current employer for the sake of retaining the health insurance benefits.

(2) In scenario (2), where social security increases to ensure a livable income for retirees over the age of 65, it may have a limited direct impact on efficient turnover. Social security primarily affects individuals who have already retired and are no longer part of the active workforce. However, it can indirectly influence efficient turnover by providing a safety net for retirees, allowing them to leave the workforce and create vacancies for younger, potentially more productive individuals to enter. This can contribute to a more dynamic labor market and higher turnover rates.

(3) In scenario (3), where the retirement plan shifts from a defined benefit plan to a defined contribution plan, it can potentially increase efficient turnover. With a defined contribution plan, workers have more flexibility and control over their retirement savings. They can accumulate portable retirement funds, which can incentivize them to seek new job opportunities or switch employers without sacrificing their retirement benefits. This increased mobility and portability can lead to higher turnover rates and a more efficient allocation of labor resources.

(4) In scenario (4), where benefits, retirement, and seniority stay with a worker regardless of their location within the company, it can potentially decrease efficient turnover. If employees can retain their benefits and seniority even when transferring to different locations within the company, it may reduce their motivation to seek external job opportunities or relocate to areas with higher job prospects. This can lead to lower turnover rates and potentially hinder the efficient allocation of talent across different geographic regions or branches of the company.

An example where efficient turnover would increase is when a company implements a performance-based promotion system that rewards high-performing employees with higher positions and responsibilities. This can incentivize employees to strive for better performance and actively seek promotions, resulting in increased turnover of lower-performing employees.

An example where efficient turnover would decrease is when a company offers highly attractive benefits and perks, such as generous retirement plans, flexible work schedules, and excellent healthcare coverage. These benefits create strong incentives for employees to stay with the company for a longer duration, reducing turnover rates but potentially hindering the flow of talent and new ideas into the organization.

Determining which scenario is better for the economy depends on various factors and perspectives. Generally, a moderate level of turnover can be beneficial for the economy as it allows for the redistribution of talent, promotes competition, and stimulates innovation. High turnover rates can indicate a dynamic labor market with opportunities for individuals to move up or explore new career paths. However, excessively high turnover rates can disrupt organizational stability and lead to increased recruitment and training costs. On the other hand, very low turnover rates may suggest a lack of job mobility and limited opportunities for advancement. Therefore, a balance between turnover and retention is desirable to foster a healthy and efficient labor market.

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Answer:

3x^5y

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

replace all x variables with 1 and solve that equation ; f(x)=x-8 so.... f(x) = 1-8

there for f(1)=-7

now, add -7 and 10 for your answer:

f(1)+10= 3

Answer:

14000

Step-by-step explanation:

Answer:

10 - 6r =

Step-by-step explanation:

Is there something missing from the questions that you didn't add?

Answer:

Step-by-step explanation:

9≤2(3a−3)≤24

9≤6a−6≤24(Simplify all parts of the inequality)

9+6≤6a−6+6≤24+6(Add 6 to all parts)

15≤6a≤30  (Divide all parts by 6)

6    6      6

Answer:

5 ≤a≤5

2

(the computer won't do fractions so when you see this 5 it means fraction/division                                                                  9)

The exponential function that passes through the given points is:y = 9(6)^x.

Given points: (0,9) and (3,1944)To find the exponential function in the form y = ab^x, we need to determine the values of a and b.Let's substitute the point (0, 9) in the given equation:

9 = ab^0Since any non-zero number raised to the power of zero is 1, therefore we get a = 9

Now, let's substitute the point (3,1944) in the equation:1944 = 9b^3Simplifying, we get:b^3 = 216b = 6

Therefore, the exponential function that passes through the given points is:y = 9(6)^x.

Explanation:

To determine an exponential function in the form y = ab^x that goes through the given points (0, 9) and (3, 1944), we have to identify the values of a and b.

Let's first substitute the point (0, 9) into the given equation, where x=0 and y=9.y = ab^x9 = ab^0

We know that b^0=1, thus 9 = a(1),a=9Substitute the value of a in the exponential equation.1944 = 9b^3We have to solve for b, so let's divide by 9 on both sides of the equation.1944/9 = b^3Simplify.216 = b^3b=6

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Answer:

16^10, 4^20 y 2^40

Step-by-step explanation:

Para expresar el producto

16^7 ×16^3  16 ^7 ×16^3

como una potencia de 16, podemos sumar los exponentes y mantener la base:

16^7 × 16^3 = 16^7 + 3=16^10  16^7 ×16^3  =16^7+3  =16 ^10

Para expresar el resultado como una potencia de 4, podemos utilizar la relación

16

=

4

2

16=4

2

:

1

6

10

=

(

4

2

)

10

=

4

2

×

10

=

4

20

16

10

=(4

2

)

10

=4

2×10

=4

20

Finalmente, para expresar el resultado como una potencia de 2, utilizamos la relación

4

=

2

2

4=2

2

:

4

20

=

(

2

2

)

20

=

2

2

×

20

=

2

40

4

20

=(2

2

)

20

=2

2×20

=2

40

Por lo tanto, el producto

1

6

7

×

1

6

3

16

7

×16

3

 puede ser expresado como

1

6

10

16

10

,

4

20

4

20

 y

2

40

2

40

.

Answer:

I hope it will help you dear

Answer:

The length of x is 10cm

Step-by-step explanation:

Since the prism is a square based triangular prism,

and we have to find the length x,

since the base is a square,

all its sides have equal lengths,

we are given that one of the sides has a length of 10 cm

so, since x is another side,

it will also have a length of 10 cm

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

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Answer:

Step-by-step explanation:

For the first one you can round 156 to 160 because 16 divided by 8 is 2 so 160 divided by 8 is 20. For the second one you can round 48 to 50 and 32 to 30 because 50 times 30 is 1,500. For the last one, add the 12 to the -8 which is 4. b=4.

Answer:

Step-by-step explanation:

From the picture attached,

Lines 'p' and 'q' are the parallel lines and line 't' is a transversal intersecting these lines.

Two pairs of angles (∠2 and ∠7) and (∠4 and ∠5) are the alternate interior angles.

Similarly, two pairs of (∠1 and ∠8) and (∠3 and ∠6) are the alternate exterior angles.

Alternate interior angles are the interior angles between the parallel lines and the transversal line while alternate exterior angles are vertically opposite angles to these interior angles.

Answer:

5x-y-8

3(x+2)+2x-(4(y+2)-3(y-2))

4y+8-3(y-2)

3x+6+2x-y-14

and the last answer

skip some step hehehe

Answer: [tex]\frac{15}{64}[/tex] or A

Step-by-step explanation:

Answer:

30 hours

Step-by-step explanation:

30+45x=60+45x

45x=30+45x

x=30

Answer:

2 hours

Step-by-step explanation:

Please mark Brainliest when able.

Answer:

i think it's the third one

The graph no. 3 is not the graph of a function of x

A function is a mathematical expression where there are two variables , one is dependent variable and the other is the independent variable.

Every function has a domain and a range.

After we've substituted the domain, the range of a function is the entire set of all potential outcome values of the dependent variable (typically y)

A function is generally denoted by f(x) where x is the input.

In the given graphs it has to be determined that which graph is not a function of x .

It can be clearly seen from the image and the options that the option C has the equation

y = c.

As the graph is not dependent upon the value of x .

Therefore the graph y = c , option C is not the graph of a function of x.

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Answer:

x = -√½ or √⁹/₁₀

Step-by-step explanation:

x + √(1 − x²) = √(2(2x² − 1))

Square both sides:

x² + 2x√(1 − x²) + 1 − x² = 2(2x² − 1)

2x√(1 − x²) + 1 = 4x² − 2

2x√(1 − x²) = 4x² − 3

Square both sides again:

4x² (1 − x²) = 16x⁴ − 24x² + 9

4x² − 4x⁴ = 16x⁴ − 24x² + 9

0 = 20x⁴ − 28x² + 9

Solve with quadratic formula:

x² = [ 28 ± √(28² − 4(20)(9)) ] / 2(20)

x² = (28 ± 8) / 40

x² = ½, ⁹/₁₀

x = ±√½, ±√⁹/₁₀

Check for extraneous solutions.

If x = -√½:

-√½ + √(1 − ½) = √(2(2(½) − 1))

-√½ + √½ = √(2(1 − 1))

0 = 0

If x = √½:

√½ + √(1 − ½) = √(2(2(½) − 1))

√½ + √½ = √(2(1 − 1))

√2 = 0

If x = -√⁹/₁₀:

-√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

-√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

-√⅖ = √⁸/₅

If x = √⁹/₁₀:

√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

√⁸/₅ = √⁸/₅

Answer:

D

Step-by-step explanation:

Answer: y=3x-3

Step-by-step explanation:

Alright, so....

6x-2y=6 needs to be in slope-intercept form.

We know that y=mx+b is slope intercept form equation.

Let’s start by doing -6x and bring it to the other side.

Now we have:

-2y=-6x+6

Divide everything by -2, so it becomes:

y=3x-3

Answer:

6

Step-by-step explanation:

When dividing fractions, you want to multiply the reciprocal of the fraction (flip the fraction so the numerator is the denominator and the denominator is the numerator).

[tex]4*\frac{12}{8}[/tex]

If you don't know how to multiply fractions as well, I will show you now.

Since 4 is just 4/1, I will convert just so you can visually see how I multiply.

[tex]\frac{4}{1} * \frac{12}{8}[/tex]

When multiplying fractions, you multiply the numerators and the denominators.

So it would be 4 * 12 & 1 * 8

[tex]\frac{4}{1} * \frac{12}{8} = \frac{48}{8}[/tex]

Your fraction is 48/8. But it can be simplified, let's divide 48/8. That equals 6!

The required answer is 6 when 4 divided by 8/12 is equal to 6.

The division operation is given as follows:

4 ÷ (8/12)

To divide by a fraction, you can multiply by its reciprocal.

In this case, you want to divide 4 by 8/12. To do this, you can multiply 4 by the reciprocal of 8/12, which is 12/8.

So, the division can be rewritten as:

4 x (12/8)

Now, simplify the expression by multiplying:

(4 x 12) / 8

48 / 8

⇒ 4 ÷ (8/12) = 6

The final result is 6.

Therefore, 4 divided by 8/12 is equal to 6.

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Answer:

c

Step-by-step explanation:

Answer: 849

Step-by-step explanation:

πr^2

π x 52^2 = 8494.866535

3 SF = 849

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

x [tex]\geq 8[/tex]

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

-5 is the answer