Which table represents a linear function help ASAP!!!!!

The tangent line to the curve x² - ln(x/y) = 1 at point (1,1) is given as follows:

y = x.

The function in this problem is defined as follows:

x² - ln(x/y) = 1

The equation for the tangent line is given as follows:

y - y* = m(x - x*).

The parameters for the equation are given as follows:

The derivative of the function is obtained using implicit differentiation, as follows:

\(2x\frac{dx}{dx} - \frac{1}{x} \frac{dx}{dx} - \frac{1}{y}\frac{dy}{dx} = 0\)

Hence:

\(\frac{1}{y}\frac{dy}{dx} = 2x - \frac{1}{x}\)

\(\frac{dy}{dy} = y\left(2x - \frac{1}{x}\right)\)

At x = 1, y = 1, the numeric value of the derivative, representing the slope of the tangent line, is given as follows:

m = 1(2 - 1).

m = 1.

Hence the equation for the tangent line at point (1,1) is given as follows:

y - 1 = 1(x - 1)

y - 1 = x - 1

y = x.

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Answer:

the value of pi is 3.14159

Answer:

the answer is 30

Step-by-step explanation:

every number under the green line is multiplied by 3 to give red

Answer:

x=30

Step-by-step explanation:

2x3=6

3x3=9

5x3=15

6x3=18

10x3=30

I figured it out by dividing 6/2 which is 3

so 10x3=30 meaning that C is your answer.

Hope this helps :)

A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).

An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.

For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.

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Answer:

42%

Step-by-step explanation:

there are 4 full colums (sorry for spelling, not english) that have 10 levels each, that add up to 40. then you sum the extra two squares

sorry, i didnt know it required explanation!

Answer:

We can find out how many columns are shaded and we can see that 4 full columns are shaded. Then we count 2 extra squares. We multiply the columns by 10 and get 40. Then we add the extra squares at the end and get 42. Therefore the answer is:

Answer:

True

Step-by-step explanation:

An asymptote is, essentially, a line that a graph approaches, but does not intersect. For example, in the following graph of y = 1x y = 1 x , the line approaches the x-axis (y=0), but never touches it. No matter how far we go into infinity, the line will not actually reach y = 0, but will always get closer and closer.

The statement is true.

Asymptote is a line that a curve approaches as it moves towards infinity. Asymptotes. The curves visit these asymptotes but never overtake them.

An asymptote is a line along which the values of a function approaches but never reach, such that one or both of the or coordinates tend to positive or negative infinity. Therefore, the graph of a rational function never intersects any of its asymptotes.

Hence, the statement is true.

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To calculate the time required for 175 gallons per minute (gpm) to pass through a 1500-foot length of a pipeline with a 12-inch diameter, we can follow these steps:

Convert the diameter from inches to feet:

12 inches = 12/12 = 1 foot

Calculate the cross-sectional area of the pipeline using the formula for the area of a circle:

Area = π *\((radius)^2\)

Radius = diameter/2 = 1/2 = 0.5 feet

Area = π *\((0.5)^2\) = 0.785 square feet

Convert the flow rate from gallons per minute (gpm) to gallons per second (gps):

175 gpm = 175/60 gps

Calculate the velocity of the flow using the formula:

Velocity = Flow rate / Cross-sectional area

Velocity = (175/60) / 0.785 = 3.56 feet per second (rounded to two decimal places)

Calculate the time required to pass the entire 1500-foot length of the pipeline using the formula:

Time = Distance / Velocity

Time = 1500 / 3.56 = 421.35 seconds (rounded to two decimal places)

Convert the time from seconds to minutes:

421.35 seconds = 421.35/60 minutes = 7.02 minutes (rounded to two decimal places)

So, it would take approximately 7.02 minutes for a flow rate of 175 gpm to pass through the entire 1500-foot length of a 12-inch diameter pipeline.

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The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.

To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.

Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.

According to the equation of continuity, A1 * V1 = A2 * V2.

Substituting the given values, we have:

64π * V1 = 4π * V2

Simplifying, we get:

16V1 = V2

So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:

1600 * 16 = 2400

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The required fraction is 25/34.

Let's start by assuming that the numerator of the original fraction is x. Since the denominator is 9 more than the numerator, we can express it as x + 9.

Thus, the original fraction can be written as x/(x + 9).

Now, we're told that if 7 is subtracted from both the numerator and denominator, the resulting fraction is 2/3. So we can write:

(x - 7)/((x + 9) - 7) = 2/3

Simplifying this equation, we get:

(x - 7)/(x + 2) = 2/3

Cross-multiplying, we get:

3(x - 7) = 2(x + 2)

Simplifying this equation, we get:

3x - 21 = 2x + 4

x = 25

Therefore, the original fraction is 25/34.

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Answer:

21

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

Just add it together

Answer:

30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,8,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100

Step-by-step explanation:

100!

Using Algebraic expression solution ,

The cost of three hats is $18 .

We have given that,

A hat company charge for design fee $4 per hat .

i.e design fee of one hat = $4

total cost of 5 hats = $30

let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .

using the above statement, we get an algebraic expression,

5( x+ 4)= 30

we solve the above algebra expression,

=> 5x + 20 = 30

=> 5x = 10

=> x = 2

so, cost of a hat without design fee is $2

and total cost of one hat is $6.

we have to calculate cost of 3 hats .

cost of one hat in hat company= $ 6

cost of three hats in hat company= $(6×3)

= $18

Hence, the total cost of 3 hats is $18.

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Answer:

12

Step-by-step explanation:

48 divided by 2 is 24 which means 48 divided by 4 is 12

The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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Answer:

Step-by-step explanation:

Given the following system of equations, you want to know values of 'a' and 'b' that (i) make the system inconsistent, and (ii) make the system consistent and dependent.

The system is inconsistent when it describes lines that are parallel and have no point of intersection. A solution to one of the equations cannot be a solution to the other.

Parallel lines have the same slope, but different y-intercepts. The system will be inconsistent when a=3 and b≠5.

The system is consistent when a solution to one equation can be found that is also a solution to the other equation. The system is dependent if the two equations describe the same line (there are infinitely many solutions).

Here, the y-coefficients are the same in both equations, so the system will be dependent only if the values of 'a' and 'b' match the corresponding terms in the first equation:

The system is dependent when a=3, b=5.

__

Additional comment

Dependent systems are always consistent.

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Answer:

Step-by-step explanation:

The general formula is y = mx + b

m = 4

So right away, you know y = 4x + b

Now you use the point to find the  y intercept

x = - 4

y = 6

y = 4x + b

6 = 4(-4) + b

6 = - 16 + b                   Add 16 to both sides

6+16 = b

b = 22

Answer

y = 4x + 22

Answer:

X=2

Step-by-step explanation:

x = ky    (direct variation formula)

8 = 24k

1/3 = k

x = (1/3)(6)

x = 2

Step-by-step explanation:

There are 4 tens in a deck of 52  

    so  4/52   of getting  ten

       then 1 /52 for the ace of hearts

4/52 * 1/52 = 4/ 2704  = 1/676 =  .001  (rounded)  

The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word more will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

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Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°

To determine the linear meters of fence that will be painted, we need to find the perimeter of each triangle that makes up the block, and then multiply that perimeter by 8. Total length of fence needs to be pained is, 5104 meters.

Identify each of the 3 triangles that make up the quadrilateral ABCD.

For each triangle, measure the length of each side using a ruler or measuring tape.

Add up the lengths of all the sides of each triangle to find the perimeter of that triangle.

Once you have found the perimeter of each triangle, multiply that value by 8 to get the total length of fence that will be painted.

Sides of triangle 1: 23 m, 93 m, 90 m

Sides of triangle 2: 93 m, 93 m, 48 m

Sides of triangle 1: 88 m, 20 m, 90 m

The perimeter of the first triangle is 206 meters.
The perimeter of the second triangle is 234 meters.

The perimeter of the third triangle is 198 meters. Then the total length of fence that will be painted is,

Total length of fence = (206 + 234 + 198) x 8 = 5104 meters

Therefore, we can use this procedure to determine the linear meters of fence that will be painted.

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--The complete question is, Consider the lengths obtained in the previous session of one of the sections of the planters to answer the following questions. (The previous question answer for length are shown in image) Write the procedure you will use to determine the linear meters of fence that will be painted. Also, find the length that needs to be painted.--

There are 11.9% of the total cost of the loan did her finance charges comprise, the correct option is D.

The total finance charge is the amount of money a consumer pays for borrowing money on a credit card.

Given

Chelsea made monthly payments for four years before her $13,440 loan was paid off.

The loan had an interest rate of 5. 86%, compounded monthly.

Chelsea paid $156. 60 in service charges.

The percentage of the total cost of the loan did her finance charges comprise is;

\(\rm\dfrac{ 13,440(\dfrac{0.0586}{12})}{(1-(1+\dfrac{0.0586}{12})^{-48}})= 15,109.44 \\\\15,109.44 + 156.60 = 15,266.04\\\\ 15,266.04 - 13,440.00 = 1,826.04 \\\\=\dfrac{1,826.04}{15,266.04}\\\\ =11.96\ Percentage\)

Hence, there are 11.9% of the total cost of the loan did her finance charges comprise.

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Answer:

Step-by-step explanation:

am trying to find the answer

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

In conclusion, we can infer and logically deduce that this test would be right-tailed.

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Answer:

55

Step-by-step explanation:

We solve the question starting from the inside parenthesis

False. The statement is not entirely accurate. While significantly different sample variances can impact the assumptions of a t-test, it does not necessarily mean that a t-test cannot be conducted.

In traditional t-tests, there is an assumption of equal variances between the compared groups or populations. This assumption is known as the assumption of homogeneity of variances. If the sample variances are significantly different, it violates this assumption.

However, there are alternative versions of the t-test that can be used when the variances are not equal, such as the Welch's t-test or the modified t-test. These tests do not assume equal variances and can be applied when the variances are significantly different.

Therefore, it is possible to conduct a t-test even when the sample variances are significantly different, using appropriate modifications to the test. However, it is essential to consider the validity and appropriateness of the chosen test based on the specific circumstances and assumptions of the data.

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