5/6 divided by 3 in simplest form. please help. quick.

Answer:

So, having "hold-out" data allows you to have a nonpartisan set of data (so to speak) for you to refer to later, once you have made use of the "train" and "test" sets. That way you can make a fair assessment as to the difference between the new and old ('hold-out") sets.

Or if you need to repeat the experiment or model again - then you can refer to the "hold out data"

The cartesian equation for the curve given by r = 9 tan(θ) sec(θ) is:

y = x(sec(x))^2, where x = θ - π/2.

The given polar equation can be simplified using the trigonometric identity for tangent and secant:

r = 9 tan(θ) sec(θ)

r = 9 sin(θ) / cos(θ) * 1 / cos(θ)

r = 9 sin(θ) / cos^2(θ)

Converting to cartesian coordinates using r^2 = x^2 + y^2 and x = r cos(θ), y = r sin(θ), we get:

(x^2 + y^2) = 81 y / x^2

Multiplying both sides by x^2, we get:

x^2 + y^2 = 81y / x^2 * x^2

x^2y^2 + x^4 - 81y = 0

Substituting x = θ - π/2, we get:

(y / (θ - π/2))^2 + (y / (θ - π/2))^4 - 81y = 0

Simplifying this expression gives us the cartesian equation for the curve:

y = x(sec(x))^2, where x = θ - π/2.

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Answer:

10:5 OR 2:1

Step-by-step explanation:

Let x be the parts of 25% dextrose and

y be the parts of 10% dextrose are mixed so that

20% dextrose mixture is obtained.

amount of dextrose in the mixture will be 20% of (x+y).

We have to find the value of \(\frac{x}y \ OR\ x:y\)

Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.

\(\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}\)

So, the answer is 10:5 or 2:1.

Answer:

4.90% is approximately the new Dextrose concentration.

Explanation:

Volume by Volume percent is given by ;

Volume percentage of dextrose solution = 5%

In 100 mL of solution 5 ml of dextrose is present.

Now, volume sterile water added was equal to the 40% of volume of dextrose volume.

So, volume of the sterile water added =  

Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL

New concentration of dextrose will be;

4.90% is approximately the new Dextrose concentration.

Step-by-step explanation:

c

Step-by-step explanation:

(3x-4) + (4x-6)

3x-4 + 4x-6

3x+4x=7x

-4+-6=-10

7x-10

\(f(x)=x+7\\g(x)=x-4\\f(x)*g(x)=(x+7)(x-4)\\f(x)*g(x)=x^2+3x-28\)

So it's x^2+3x-28

The width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

A three-dimensional structure with six rectangular faces that are parallel and congruent together is called a rectangular prism. It has a length, width, and height. By multiplying the length, width, and height together, one may get the volume. Contrarily, a cylinder is a three-dimensional shape with two congruent and parallel circular bases. It has a height and a radius, and you can determine its volume by dividing the base's surface area by the object's height. A cylinder has curved edges and no corners while a rectangular prism has straight edges and corners.

The volume of the rectangular cake is given as:

V = length * width * height

Substituting the values we have:

16 * 12 * 3 = 576 cubic inches

Now, for the cylindrical cake to be of the same volume we have:

V = π * radius² * height

π * radius² * 3 = 576

(3.14) * radius² * 3 = 576

radius = 15.6 inches

Hence, the width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

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Piper would make $557.5 in a week in which she made $2050 in sales

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Guarantee fee = $250 per week

Commission = 15%

Let the total sales be x and the total amount be y

So, we have:

y = Guarantee fee + Commission * x

This gives

y = 250 + 15% * x

The total sales is $2050

This gives

y = 250 + 15% * 2050

Evaluate

y = 557.5

Hence, Piper would make $557.5 in a week in which she made $2050 in sales

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Answer:

$14.94

Step-by-step explanation:

To find the money earned per hour, you need to divide the total money earned by the hours worked.

$418.24/28 = $14.94

The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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Answer:

quadrant I

Step-by-step explanation:

x + y - 4 = 0 becomes x + y = 4, so we have the equations x + y = 4 and x - y = 0. Add these two equations to eliminate y, obtaining 2x = 4. From this, x = 2, and so y = 2. So the solution is in quadrant I.

Answer:

the domain is greater than or equal to 75 range is greater than or equal to 40

Step-by-step explanation:

The integral from (1) to e of [(1/z) - (1/z^2)] dz equals ln(e) - ln(1) - (1 - 1/e) = 1 - 1/e.

To solve the integral, we can use the power rule of integration. First, we split the integral into two parts: ∫(1 to e) 1/z dz - ∫(1 to e) 1/z^2 dz.

For the first part, we integrate 1/z with respect to z, which gives us ln|z|. Evaluating this from 1 to e, we get ln|e| - ln|1| = ln(e) - ln(1) = 1.

For the second part, we integrate 1/z^2 with respect to z, which gives us -1/z. Evaluating this from 1 to e, we get -1/e + 1.

Finally, we subtract the result of the second part from the result of the first part, giving us 1 - 1/e.

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Answer:Yes

Step-by-step explanation:

25% of 20 is 5.

Answer:

Step-by-step explanation:

25% of 20 is 5.

According to the question The perimeter of an isosceles triangle given and their sides are x = 2/7 and y = 27/14.

To find the values of x and y, we can set up an equation using the given information about the perimeter of the triangle.

The perimeter of an isosceles triangle is the sum of all its sides. In this case, we have:

4y cm + (6y - 2x + 1) cm + (x + 2y) cm = 28 cm

Now, let's simplify and solve for x and y:

4y + 6y - 2x + 1 + x + 2y = 28

12y - x + 1 + x + 2y = 28

14y + 1 = 28

14y = 27

y = 27/14

Substituting the value of y back into the equation, we can solve for x:

4(27/14) + (6(27/14) - 2x + 1) + (x + 2(27/14)) = 28

(108/14) + (162/14) - 2x + 1 + x + (27/14) = 28

(108 + 162 + 14 - 28) / 14 - 2x + x = 0

(252/14 - 14) / 14 - x = 0

(18 - 14) / 14 - x = 0

4/14 - x = 0

4 - 14x = 0

14x = 4

x = 4/14

Therefore, x = 2/7 and y = 27/14.

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Answer:

X=28/9

Step-by-step explanation:

Answer:

A) x = 2

y = -28

B) x = 30

y = -4

C) x = -15

y = 11

D) x = 2

y = 46

Step-by-step explanation:

Hope this helps :D I'm in class so I can't explain rn I hope you understand the concept.

have a nice day

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The graph on segment B is increasing at a gradual rate (especially compared to the other graph segments)

The number 713.49 is already written in standard form.

Standard form, also known as standard notation or scientific notation, is a way of writing numbers using digits and decimal places. In standard form, a number is written with one digit to the left of the decimal point and the remaining digits to the right of the decimal point.

For example, the number 7,134.9 would be written in standard form as 7,134.9. The number 713.49 is already written in this format, so there is no need to convert it to standard form.

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By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

In this problem we have to determine the area of a irregular polygon, whose calculation is defined as a sum of the areas of triangles and rectangles. To determine the combination of squares and triangles, we need first to plot the vertices and construct the figure on a Cartesian plane.

The area of the irregular figure is:

A = (5) · (7) + 0.5 · 2² + 0.5 · (2) · (5)

A = 35 + 2 + 5

A = 42

By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.

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It should be noted that in the table, the correlation coefficient for the data is C. 0.28.

It should be noted that a correlation coefficient simply means the number that's between -1 and +1.

See the attached table.

It represents the linear dependence between the two variables. In this case, the correlation coefficient for the data is 0.28.

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Part A: The monthly payment for the truck is $595.07

Part B: Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C: Kevin's cost per mile is $0.304.

An annuity is a financial product that provides a stream of payments to an individual over a specified period of time. An annuity is typically purchased from an insurance company or financial institution in exchange for a lump sum of money.

An average is a mathematical value that represents a typical or central value within a set of data. There are different types of averages, including the mean, median, and mode.The mean, or arithmetic mean, is the most common type of average, and it is calculated by adding up all of the values in a data set and dividing by the number of values.

Part A:

To calculate the monthly payment for the truck, we can use the formula for the present value of an annuity:

Monthly payment = (PV * r) / (1 - (1 + r)⁽⁻ⁿ⁾)

Where:

PV = Present value of the loan (truck cost - down payment)

r = Interest rate per period (annual rate / 12)

n = Total number of periods (5 years * 12 months per year)

Using this formula, we have:

PV = $35,500 - $4,200 = $31,300

r = 6% / 12 = 0.005

n = 5 years * 12 months per year = 60

Monthly payment = ($31,300 * 0.005) / (1 - (1 + 0.005)⁽⁻⁶⁰⁾) = $595.07

Therefore, the monthly payment for the truck is $595.07.

Part B:

To calculate how much Kevin will spend when he fills the truck's 25-gallon tank, we can multiply the number of gallons by the average gas price:

Cost of filling tank = 25 gallons * $2.55/gallon = $63.75

Therefore, Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C:

To calculate Kevin's cost per mile, we need to first calculate how much he spends on gas per mile.

In one year, Kevin fills up his tank 2 times per month, for a total of 24 times per year. If he drives 7,500 miles in the first year, then he drives an average of 7,500 / 24 = 312.5 miles between fill-ups.

So, Kevin spends $63.75 every 312.5 miles on gas, or $0.204 per mile.

In addition to gas, Kevin spends $750 per year on insurance.

Therefore, Kevin's total cost per mile is:

Cost per mile = (gas cost per mile) + (insurance cost per year / miles driven per year)

Cost per mile = ($0.204) + ($750 / 7,500) = $0.304 per mile

Therefore, Kevin's cost per mile is $0.304.

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Answer:

y = 1/2x -.5

Step-by-step explanation:

We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.

It's a simple as this just plug the points into the equation you have like this.

(-7,-4) (PLUG IN)

-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)

-4 = -3.5 + b (add 3.5 on each side)

-.5 = b

the equation parallel to the first one is...

y = 1/2x -.5

Based on his speed and the distance driven within that time, Kwan will have driven 144 miles in 2 hours

First find out Kwan's speed per hour:

Speed = Distance / Time

Convert the time to decimals:

= 1 + 1/4 hours

= 1 + 0.25

= 1.25 hours

Speed:

= 90 / 1.25

= 72 miles per hour

In 2 hours therefore, Kwan would have gone:

= 72 x 2 hours

= 144 miles

In conclusion, Kwan would have driven 144 miles.

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The distance kwan drive in 2 hours at this rate is known as 144 miles

Given that kwan is driving at a constant speed after 1/1/4 hours he has driven a total distance of 90 miles, this can be expressed as:

90 miles = 1 1/4 hours

To determine the total distance covered in 2 hours, this can be expressed as;

x = 2hours

Divide both expressed as:

90/x = (1 1/4)/2

90/x = (5/4)/2

90/x = 5/8

5x = 8 * 90

5x = 720

x = 720/5

x = 144

This shows that the distance kwan drive in 2 hours at this rate is known as 144 miles

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The overall MSE for the time series would be (0 + 0 + 0.0289 + 0.0144 + 0.0044 + 0.0144)/6 = 0.0119. This value indicates that the forecasted values are close to the actual time series values, with a small error.

Mean squared error (MSE) is a standard measure of the average squared difference between predicted and actual value. Regression analysis frequently use it to assess a model's performance pattern. The sum of squared discrepancies between the predicted and actual values is multiplied by the number of observations in the dataset to derive the MSE. A lower MSE signifies a better match between the model and the data. In regression analysis, MSE is generally compared to the variance of the response variable, which is a measure of data dispersion. The MSE reveals how well the model fits the data when it is less than the variance.

How to solve?

To construct a time series plot for the given data, we can plot the values of the data against the weeks on the x-axis.

Week 1 | |

Week 2 | |

Week 3 | |

Week 4 | |

Week 5 | |

Week 6 | |

The three-week moving average for each week would be as follows:

Week 1: 16

Week 2: 11

Week 3: 12.67

Week 4: 11.33

Week 5: 12

Week 6: 11.33

The MSE for each week would be as follows:

Week 1: 0

Week 2: 0

Week 3: 0.0289

Week 4: 0.0144

Week 5: 0.0044

Week 6: 0.0144

The overall MSE for the time series would be (0 + 0 + 0.0289 + 0.0144 + 0.0044 + 0.0144)/6 = 0.0119. This value indicates that the forecasted values are close to the actual time series values, with a small error.

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Answer:

C))x + 5 = x + 3

Step-by-step explanation:

here its given that x + 5 = x + 3

so x - x = 5 -3

0 = 2

that doesn't make a sense . so this equation doesn't exist

a)3x + 1 = 5

3x = 4

x = 4/3

b)2 x = 2

x = 1

d) x = 0

Answer: 11/7 tons

Step-by-step explanation:

To determine how much sugar one container can hold, you need to divide the total amount of sugar (6 2/7 tons) by the number of containers (4).

First, convert the mixed number 6 2/7 to an improper fraction:

(7 * 6) + 2 = 44/7

Now, divide 44/7 tons by 4 containers:

(44/7) / 4 = (44/7) * (1/4) = 44/28

Simplify the fraction:

44/28 = 11/7

So, each container can hold 11/7 tons of sugar.

20(7%) = 1.4 sales tax: $1.40

20 + 1.40 = 21.40 the cost: $21.40

Answer:

$143.10

Step-by-step explanation:

$159 (regular price) - 10% = $143.1 = $143.10

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