Solve for X. I need help please

To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.

Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.

(5 workers) x (5 days) = 25 worker-days;

25 worker days/5 walls = 5 worker days per wall.

With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.

100 x 5 = 500 worker days;

500 worker-days / 100 workers = 5 days (answer)

Answer:

B & C are the correct answers

\(b. \: \: \frac{7 {}^{18} }{7 {}^{9} } \\ c. \: \: (7 {}^{3} ) {}^{3} \\ e. \: \: 7 {}^{4} .7 {}^{5} \\ \\ correct \: answers\)

Thank you ☺️☺️

Answer:

constant of proportionality = 10

Step-by-step explanation:

the equation to find the constant of proportionality is,

y = kx

where k is the constant of proportionality

by substituting any value of y and x from the table,

30 = k3

thus, k = 10

for any given number of counselor the children will be it's ten times.

a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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The total number of cupcakes packed is 846 cupcakes.

percentage, a relative value indicating hundredth parts of any quantity.

Let's first find out the number of boxes of each size:

40% of 60 boxes = 24 boxes are medium

35% of 60 boxes = 21 boxes are small

The remaining 60 - 24 - 21 = 15 boxes are large

Now we can calculate the total number of cupcakes packed:

24 boxes x 15 cupcakes per medium box = 360 cupcakes in medium boxes

21 boxes x 6 cupcakes per small box = 126 cupcakes in small boxes

15 boxes x 24 cupcakes per large box = 360 cupcakes in large boxes

Therefore, the total number of cupcakes packed is 360 + 126 + 360 = 846 cupcakes.

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Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

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Answer:

x= 4 or -4

Step-by-step explanation:

take the root of both sides then solve

hope this helped♥

Answer:

C. -3/2

Step-by-step explanation:

Put the two points in the slope formula which is:

(y₂ - y₁)/(x₂ - x₁)

Substitute values given.

(-5 - 1)/(1 - (-3))

Subtract in the numerator.

(-6)/(1 - (-3))

Apply the rule that x - (-y) = x + y.

(-6)/(1 + 3)

Add in the denominator.

(-6)/(4)

Simplify.

-3/2.

Answer: C -3/2

Step-by-step explanation: This is correct, trust me!

Answer:

I'm pretty sure it's reflective and hypotenuse

Step-by-step explanation:

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

Given the initial value problem:

y′=3x/y;

y(1)=−2 We need to find the solution to this problem using the initial value provided. Initial Value Problem:

An initial value problem is a differential equation along with an initial condition.

Initial conditions:

An initial condition is a condition that is required to be satisfied by the solution to a differential equation.

In the given problem, we are given an initial value of y(1)=−2. Differential Equation:

dy/dx = 3x/y Separate the variables and solve for y:

dy/y = 3x dxv Integrating both sides, we get;

\(∫dy/y = ∫3x dxln|y|\)

\(= (3/2)x^2 + C\1\) (where C1 is the constant of integration) Putting the initial condition

y(1)=−2;

\(ln|−2| = (3/2)(1)^2 + C1ln(2)\)

\(= (3/2) + C1C1

= (2ln2 - 3)/2\)

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To calculate the cost of electricity for using a standard LCD television and an Energy Star rated LCD television for four hours per day over a year, we need the power consumption of each television.

Let's assume the power consumption of the standard LCD television is 100 watts, and the power consumption of the Energy Star rated LCD television is 75 watts.

First, we calculate the daily energy consumption in kilowatt-hours (kWh) for each television:

Standard LCD TV: (100 watts / 1000) kilowatts * 4 hours = 0.4 kWh

Energy Star LCD TV: (75 watts / 1000) kilowatts * 4 hours = 0.3 kWh

Next, we calculate the annual energy consumption for each television by multiplying the daily energy consumption by the number of days in a year:

Standard LCD TV: 0.4 kWh * 365 days = 146 kWh

Energy Star LCD TV: 0.3 kWh * 365 days = 109.5 kWh

Finally, we calculate the cost of electricity for each television by multiplying the annual energy consumption by the cost per kWh:

Cost for Standard LCD TV: 146 kWh * $0.15/kWh = $21.90

Cost for Energy Star LCD TV: 109.5 kWh * $0.15/kWh = $16.43

Therefore, the cost of electricity for using a standard LCD television for four hours per day over a year is $21.90, and the cost for using an Energy Star rated LCD television is $16.43.

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1888 ounces bags of dried dill can be made

Addition: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined

let us consider that, x = dried cilantro , y = dried dill

so by the given information we can write addition of dried cilantro an dried dill is equal to 253

x + y = 253

and also said that container of dried cilantro is 17 pounds heavier than that of container of dried dill so we can write, x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags

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Answer:

You may make dried dill in 1888 ounce bags.

Step-by-step explanation:

What does addition mean?

One of the four fundamental operations in mathematics is addition. The other three are subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.

Consider that x represents dried cilantro and y represents dry dill.

So, using the information provided, we can say that adding dry cilantro and dried dill equals 253.

x + y = 253

and added that a container of dried cilantro weighs 17 pounds more than a container of dried dill, leading us to derive the equation x = y + 17

substitute the value of x in the 1st equation

y + 17 + y = 253

2y + 17 = 253

2y = 253 - 17

2y = 236

y = 236/2

y = 118

so there is 118 pounds of

and it will be sold in 1 ounce bags

we know, 1 pound = 16 ounces

so 118 pounds = (118×16) = 1888 ounces

which will make 1888 ounces bags.

we have

f(x) = |x – 1] + 2

g(x) = -2f(x) + 8

substitute the value of f(x) in g(x)

so

g(x)=2(|x – 1] + 2) +8

g(x)=2|x – 1] + 4 +8

g(x)=2|x – 1] + 12

Using a graphing tool

see the attached image

Answer:

2<w<8

Step-by-step explanation:

not reall sure how to explain or even if this is what you were asking for.

The flash drive manufacturer can maximize their revenue by setting the price at $6.50 per flash drive. At this price point, they can expect to earn a maximum revenue of $4,225.

The relationship between the number of flash drives sold and the price per drive is given by the equation x = 1300 - 100p, where x is the number of drives sold and p is the price per drive.

To find the price that maximizes revenue, we need to differentiate the revenue function with respect to p and set it equal to zero. Solving for p, we get a price of $6.50 per flash drive. This means that if the company sets the price at $6.50, they can expect to sell 900 flash drives, which will result in a maximum revenue of $4,225.

The manufacturer should be aware that setting a price higher than $6.50 will result in fewer drives sold, and therefore, lower revenue. Conversely, setting a lower price may increase the number of drives sold but result in lower revenue due to the lower price per drive. By understanding the relationship between price and quantity demanded, the manufacturer can make informed pricing decisions to maximize their revenue while ensuring that their products remain competitive in the market.

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The margin of error for this confidence interval is 0.039.

The margin of error for this confidence interval can be calculated by taking half of the range between the upper bound and the lower bound of the interval.

In this case, the upper bound is 0.064 and the lower bound is -0.014. Taking half of the range, we have:

Margin of error = (0.064 - (-0.014)) / 2

= 0.078 / 2

= 0.039

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A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Maggie needs to save for at least 4.5 weeks (or 5 weeks, since she cannot save for a fraction of a week) to be able to purchase the hoodie.

Let's denote the number of weeks Maggie needs to save as "w".

Every week she adds $10 to her bank account, so after "w" weeks, she will have saved:

10w

If we add this to the initial amount she had in her account, we get her total savings:

30 + 10w

For Maggie to be able to purchase the hoodie, her savings must be greater than or equal to $75, so we can write:

30 + 10w ≥ 75

To solve for "w", we can start by subtracting 30 from both sides of the inequality:

10w ≥ 45

Next, we can divide both sides by 10 to isolate "w":

w ≥ 4.5

To graph this inequality on a number line, we can plot a closed circle at the point 4.5 and shade to the right of it, since any value of "w" greater than or equal to 4.5 would satisfy the inequality.

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Answer:

r  =  22 ft  the sprinkler sends water until 22 feet away

Step-by-step explanation:

A circular pattern has an area of  1,519,76 ft²

And  the areaof a circle is:

A(c) = π*r²

A(c) = 3,14 * r²     ⇒   1,519,76  =  3,14 * r²

r²  =  1,519,76/3,14      ⇒   r²  = 484

r  = √484

r  =  22 ft

Answer:

22 ft

Step-by-step explanation:

The sprinkler is located in the middle of the circular pattern created by the sprinkler therefore the distance from the center to the end of the circular pattern is called the RADIUS

note:

area of a circle = \(\pi\)\(r^{2}\)

      1519.76 = 3.14 * \(r^{2}\)

therefore \(r^{2}\) = 1519.76 / 3.14 = 484

therefore radius ( r ) = \(\sqrt{484}\)  =  22 ft

The sprinkler is 22 feet away from the spread water

We need to decide whether the given equations are always or never true for values of x .The given equations are ,

solve out for x,

\(\longrightarrow x -x =12+1\\ \)

\(\longrightarrow 0 =13\\ \)

This can never be true. Hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow x -x =\dfrac{3}{4}+\dfrac{3}{4}\\ \)

\(\longrightarrow 0=\dfrac{3}{2}\)

This can never be true. hence the equation is never true for any values of x.

solve out for x,

\(\longrightarrow 4x +12=8x+12-4x\\\)

\(\longrightarrow 4x -8x +4x =12-12\\\)

\(\longrightarrow 0=0\)

hence this equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x -x -x =8+8\\ \)

\(\longrightarrow 0=0 \)

hence the equation is true for all values of x.

solve out for x,

\(\longrightarrow 2x +10+3x =5x-25\\ \)

\(\longrightarrow 5x -5x =-25-10\\\)

\(\longrightarrow 0 =-35\)

This can never be true. hence the equation is never true for any values of x.

and we are done!

To find the key numbers of the inequality x² - 2x - 24 > 0, we need to determine the values of x that make the inequality true. The key numbers are the points where the expression changes sign. In this case, the key numbers are -4 and 6.

To find the key numbers, we can factor the quadratic expression x² - 2x - 24 > 0. The factored form is (x - 6)(x + 4) > 0. The inequality is satisfied when either both factors are positive or both factors are negative.

Setting each factor equal to zero, we get x - 6 = 0 and x + 4 = 0. Solving these equations, we find that x = 6 and x = -4.

Now, we need to determine the intervals on the number line where the inequality is true. We choose test values from each interval and substitute them into the inequality. For example, testing x = -5 gives (-5 - 6)(-5 + 4) > 0, which is true. Similarly, testing x = 0 gives (0 - 6)(0 + 4) < 0, which is false.

By considering the sign changes, we find that the inequality is true for x < -4 and x > 6. Therefore, the key numbers are -4 and 6, which divide the number line into three intervals: (-∞, -4), (-4, 6), and (6, ∞).

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Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

The mid segment AB is half the measure of XZ , that is

3x - 1 = \(\frac{1}{2}\) × 34 = 17 ( add 1 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

The complete question is given below:-

Tan x degrees = 5. find the value of x to the nearest tenth

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

tan x = 5

x = atan 5

x ≈ 78.7°

By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.

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Answer:

-5/6+1/2=-2/6 = -1/3

hope it helps

Answer:

-0.33333333333

fraction= -1/3

any more help just ask :)

For the polynomial with  degree 5. P(x) that has a leading coeficient of -4, has roots of multiplicity 2 at x = 3 and x = 0 and a root at x = - 4

1. The factored polymomial is -4x²(x + 4)(x - 3)²

2. The expanded form of the polynomial is -4x⁵ + 8x⁴ + 60x³ - 144x²

A polynomial is an algebraic equation in which the least power of the unknown is 2.

Given the polynomial of degree 5. P(x) that has a leading coeficient of -4, has roots of multiplicity 2 at x = 3 and x = 0 and a root at x = - 4. To write a polynomial in factored form and expanded form, we proceed as follows

1. To write the polynomial in factored form, we notice that the roots of the polynomial are

So, the factors are

So, the polynomial P(x) with leading coefficient - 4 in factored form, we multiply the factors together as well as the leading coefficient. So,

P(x) = -4(x - 3)²x²(x + 4)

= -4x²(x + 4)(x - 3)²

So, the polynomial is -4x²(x + 4)(x - 3)²

2. To find the polynomial in expanded form, we proceed as follows.

Since P(x) = -4x²(x + 4)(x - 3)², we expand the brackets. So, we have that

P(x) = -4x²(x + 4)(x - 3)²

= -4x²(x + 4)(x² - 6x + 9)

= -4x²(x³ - 6x² + 9x + 4x² - 24x + 36)

Collecting like terms, we have that

= -4x²(x³ - 6x² + 4x² + 9x - 24x + 36)

= -4x²(x³ - 2x² - 15x + 36)

= -4x⁵ + 8x⁴ + 60x³ - 144x²

So, the expanded form is -4x⁵ + 8x⁴ + 60x³ - 144x²

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The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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Answer: x=12

Srry if its wong!

Hope this helps!

Step-by-step explanation:

Answer: x = 5/7

Step-by-step explanation:

11x - 8 + 4x - 3

Get x to 1 side

7x - 8 = -3

Add 8 to both sides to cancel out 8

7x = 5

divide by 7

x= 5/7