If a number is doubled and 12 is added to it. The result is 40 what's the number

For the given equation x⁸ + y⁸ + z⁵ = 6xyz, the value of partial derivatives are ∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz) and ∂z/∂y = (6xz) / (8y⁷ - 6xy)

To find the partial derivatives ∂z/∂x and ∂z/∂y for the equation x⁸ + y⁸ + z⁵ = 6xyz, we need to differentiate the equation with respect to x and y while treating y and z as constants.

Taking the partial derivative with respect to x (∂z/∂x), we differentiate each term separately:

8x⁷ + 0 + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Simplifying the equation, we get:

8x⁷ + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Now, let's take the partial derivative with respect to y (∂z/∂y):

0 + 8y⁷ + 0 (∂z/∂y) = 6xz + 6xy(∂z/∂y)

Simplifying further:

8y⁷ (∂z/∂y) = 6xz + 6xy(∂z/∂y)

To find the values of ∂z/∂x and ∂z/∂y, we need to isolate the partial derivatives:

∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz)

∂z/∂y = (6xz) / (8y⁷ - 6xy)

These equations give the partial derivatives of z with respect to x and y for the given equation x⁸ + y⁸ + z⁵ = 6xyz.

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For the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

As given in the question,

Height of the right circular cone = 2.5 units

And radius of right circular cone = 7.5 units

Let r be the radius of the cylinder and h be the height of the cylinder.

Volume of a cylinder 'V' = π r² h

Cylinder is inscribed in right circular cone

From origin edge cylinder is inscribed at x distance in right circular cone.

r = 7.5 - x

h = (2.5 /7.5) x

  = x/3

V  = π ( 7.5 - x )² ( x / 3)

⇒ V = π ( x² -15x + 56.25 ) (x/3)

⇒ V = (π /3)( x³ - 15x² + 56.25x)

For maximum volume ,

dV/dx = 0

dV/dx = (π/3)( 3x² -30x + 56.25)

(π/3) ≠ 0

⇒ 3x² -30x + 56.25 = 0

⇒ 3 ( x² -10x + 18.75) = 0

3 ≠ 0

⇒ x² -10x + 18.75 = 0

x = [ - (-10) ± √ (-10)² -4(1)(18.75)]/2(1)

⇒ x = [ 10 ± √ 100 -75]/2

⇒ x=  ( 10 ± 5 ) / 2

⇒ x = 7.5 or 2.5

As r = 7.5 -x

Hence x ≠ 7.5

r = 7.5 -2.5

 = 5 units

h = x/3

  = 2.5/3

  = 0.8333 units

Therefore, for the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

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Absolute value is the distance a number is from____ and is always ____

1. Zero

2. Positive

Answer:-11

Step-by-step explanation:

My teacher taught me you start by switching the + and - symbol to make it- (-6) - (+5)=?

So then you are just subtracting -5 and and +6 but when you subtract a negative integer by a positive integer it keeps going down, so -6 - (+5) would equal -11. Imagine it like adding positives then add the negative later.

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = \(4/3\pi r^3\)

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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The piecewise-defined function for the cost of an order of x T-shirts is

C(x) = {10x + 20 if x ≤ 50, 8x + 20 if x > 50 }

The cost, C, for an order of x T-shirts can be represented using a piecewise-defined function. Let's define the function based on the given information:

If x ≤ 50:

The cost per T-shirt is $10, and there is an initial charge of $20 for creating the silk screen. Therefore, the function for this range is:

C(x) = 10x + 20

If x > 50:

The cost per T-shirt is $8, and there is an initial charge of $20 for creating the silk screen. Therefore, the function for this range is:

C(x) = 8x + 20

Combining these two cases, the piecewise-defined function for the cost of an order of x T-shirts is:

C(x) = {10x + 20 if x ≤ 50, 8x + 20 if x > 50 }

This function takes into account the different costs per T-shirt based on the quantity ordered and includes the initial charge for creating the silk screen.

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Answer:

4 is the answer

Step-by-step explanation:

they lost 4matches

Answer:

4

Step-by-step explanation:

65% add 15% is 80%

Therefore they lose 20%
20% of 20:

20 divided by 10 is 2

2 multiplied by 2 is 4

or

20 divided by 5 is 4

The value of the constant k is 5

Direct variation can be defined a type of variation in mathematics in which there is a simultaneous increase in the value of the variables.

As the value of one of the variable increases, the value of the other variable also increases and as the value of one of the variables decreases, the value of the other variable also decreases.

From the information given, we have that;

y ∝ x

Determine the constant

y/x = k

Where , 'k' is the constant of variation

Substitute the value of x and y, we have;

k = 100/20

divide the values

k = 5

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Answer: 0.9kg

Step-by-step explanation:

Since we are informed that Parcel C had the same mass as Parcel B, let their mass be represented by x.

Therefore,

Parcel A + Parcel B + Parcel C = 2.5

0.7 + x + x = 2.5

0.7 + 2x = 2.5

2x = 2.5 - 0.7

2x = 1.8

x = 1.8/2

x = 0.9

The mass of parcel C is 0.9kg

The factored expression of the polynomial is (x - 3)(x + 4)

The polynomial expression is given as;

x^2 + x - 12

Expand the expression

x^2 + 4x - 3x - 12

Factorize the expression

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

Factor out x + 4

(x - 3)(x + 4)

Hence, the factored expression of the polynomial is (x - 3)(x + 4)

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

The inequality representing this situation is m ≥ 10, indicating that Manny must save for 10 or more months to buy the car.

To represent Manny's saving situation for a used car, we can write and solve an inequality using the variable 'm' to represent the number of months he must save to buy the car.

Given information:

Manny has $12,000 initially.

The cost of the used car is $15,000.

Manny saves $300 per month.

The total amount Manny saves after 'm' months can be calculated as: $12,000 + ($300 * m).

To afford the car, the total amount Manny saves after 'm' months should be greater than or equal to the cost of the car: $12,000 + ($300 * m) ≥ $15,000.

Solve the inequality for 'm':

$12,000 + ($300 * m) ≥ $15,000.

Subtract $12,000 from both sides:

$300 * m ≥ $3,000.

Divide both sides by $300:

m ≥ 10.

Interpretation: Manny must save for at least 10 months to afford the used car. Therefore, the inequality representing this situation is m ≥ 10, indicating that Manny must save for 10 or more months to buy the car.

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The smallest upper bound for the error of this approximation when |x| ≤ 0.1 is 8.45 * 10^(-4). This value is in scientific notation and is rounded to two decimal places as needed.

According to the Remainder Theorem, the smallest upper bound for the error of this approximation when |x| ≤ 0.1 is given by:
E ≤ (M * |x|^(n+1)) / ((n+1)!)

Where:
- E is the error
- M is the smallest possible value for the absolute value of the (n+1)th derivative of the function
- x is the value of x
- n is the degree of the polynomial approximation

In this case, we are given that M = 1.69 * 10^(-1) and |x| ≤ 0.1. Therefore, we can plug in these values into the equation to find the smallest upper bound for the error:

E ≤ (1.69 * 10^(-1) * 0.1^(n+1)) / ((n+1)!)

To find the smallest upper bound for the error, we need to use the smallest possible value for n. Since n is a positive integer, the smallest possible value for n is 1. Therefore, we can plug in n = 1 into the equation and simplify:

E ≤ (1.69 * 10^(-1) * 0.1^(1+1)) / ((1+1)!)
E ≤ (1.69 * 10^(-1) * 0.1^2) / (2!)
E ≤ (1.69 * 10^(-1) * 0.01) / (2)
E ≤ (1.69 * 10^(-3)) / (2)
E ≤ 8.45 * 10^(-4)

Therefore, the smallest upper bound for the error of this approximation when |x| ≤ 0.1 is 8.45 * 10^(-4). This value is in scientific notation and is rounded to two decimal places as needed.

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Answer:

z(43)x(−5−2)y(4−2)

=−602xyz

Step-by-step explanation: HOpe this help , pls mark me as brainlisti

Answer:

3. D

4. I

5. E

6. G

7. J

8. B

9. A

10. H

Answer:

Yes

Step-by-step explanation:

Let's take any random multiple of 4 as an example:

8 = 2 • 4

64 = 2 • 32

20 = 2 • 10

Try any multiple of 4—this pattern continues.

We want to see if the given statement is true or not, and we will prove that it is true.

A number N has 2 as a factor if we can rewrite:

N = 2*k

Where k is an integer.

Now we want to see if all multiples of 4 have 2 as a factor.

A multiple of 4 can be written as:

N = 4*p

Where p is an integer.

And we know that:

4 = 2*2

Then we rewrite:

N = (2*2)*p = 2*(2*p)

Then a multiple of 4 is written as: 2*(2*p)

2 times an integer, so yes, 2 is a factor of this number, thus, Lindsay is correct.

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Answer:

Scale factor = \(\frac{1}{2}\)

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = \(\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}\)

                    = \(\frac{3}{6}\)

                    = \(\frac{1}{2}\)

The given statement  the domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers is true.

The domain of the exponential function f(x) = a^x.

where a is a positive real number .

And a is not equal to 1 is the set of all real numbers.

This means that the function is defined for every real number x.

The exponential function grows or decays rapidly as x moves away from 0, and its graph never touches the x-axis.

Therefore, the exponential function f(x) =a^x for a>0, a≠1 having domain set of all real numbers is true.

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The above question is incomplete, the complete question is:

The domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers. true or false

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

the ansewr is b

Step-by-step explanation:

Answer:

part 1;   x=4,−3

part 2: im not sure

x < 0  or  x > 10

Step-by-step explanation:

Answer:

1. x=-3 or x=4

2. x>10 or x<0

Step-by-step explanation:

1. 2|2x-1|-2=12

2|2x-1|=14

|2x-1|=7

2x-1=±7

2x= -6    2x=8

x=-3    or     x=4

2. 4|x-5|+3>23

4|x-5|>20

x-5>±5

x>10  or   x<0

A university researcher can use various sampling methods to gather a representative sample of homeowners in a city. These methods include random sampling, stratified sampling, cluster sampling, systematic sampling, and convenience sampling. Researchers must consider the strengths and limitations of each method to select the most suitable one for their research objectives and available resources.

To gather a representative sample of all homeowners in the city for the university researcher's study on the effect of watching television, several sampling methods can be used:

1. Random Sampling: The researcher can assign a unique number to each homeowner in the city and use a random number generator to select a sample of homeowners. This method ensures that each homeowner has an equal chance of being selected.

2. Stratified Sampling: The researcher can divide the city into different strata or categories based on relevant characteristics such as income level or age group. Then, a random sample can be selected from each stratum in proportion to its size. This method ensures representation from different groups of homeowners.

3. Cluster Sampling: The researcher can divide the city into clusters, such as neighborhoods or blocks, and randomly select a few clusters. Then, all homeowners within the selected clusters can be included in the sample. This method is useful when it is not feasible to reach every homeowner individually.

4. Systematic Sampling: The researcher can create a list of all homeowners in the city and select every nth homeowner from the list. The value of n can be determined based on the desired sample size. This method provides a simple and systematic approach to selecting homeowners.

5. Convenience Sampling: In this method, the researcher can choose homeowners who are easily accessible or readily available for the study. However, it is important to note that this method may introduce biases and may not provide a representative sample.

It is crucial for the researcher to consider the strengths and limitations of each sampling method and choose the one that best suits the research objectives and resources available.

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There would be 63,273,600 and 43,524,000 license plates, if repetition is allowed, and not, respectively that can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits.

Based on the given information, a license plate may either be:

1. three uppercase English letters followed by three digits

26 ways to fill in the first, second, and third letter and

10 ways to fill in the first, second, and third digit

2. four uppercase English letters followed by two digits

26 ways to fill in the first, second, third, and fourth letter and

10 ways to fill in the first and second digit

Thus, by Fundamental Principle of Counting, there are 63,273,600 possible license plates, if repetition is allowed, and 43,524,000 possible license plates, if repetition is not allowed.

(with repetition)

1.  26 x 26 x 26 x 10 x 10 x 10 = 17,576,000

2. 26 x 26 x 26 x 26 x 10 x 10 = 45,697,600

17,576,000 + 45,697,600 = 63,273,600

(without repetition)

1.  26 x 25 x 24 x 10 x 9 x 8 = 11,232,000

2. 26 x 25 x 24 x 23 x 10 x 9 = 32,292,000

11,232,000 + 32,292,000 = 43,524,000

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Answer:

y = -4/3x + 6

Step-by-step explanation:

y = mx + b

m = slope = -4/3

b = y-intercept = 6

Answer:

Is that it's not about the answers and the questions

Answer:6n+4=28

n=6

I think this is how you do it.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

10

Step-by-step explanation:

for two books its 3.75

so 13.75×5 = 16

-⅔ (6x + 9) = 18

Apply distributive property. Multipy -⅔ to 6x and 9.

-4x - 6 = 18

Add 6 to both sides so -4x can be alone.

-4x - 6 + 6 = 18 + 6

-4x = 24

To get x alone, divide both sides by -4.

-4/-4x = 24/-4

x = -6

x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.