Write the expression in radical form x 3/7

Suppose lnx - lny = y-4 and y is a differentiable function of x. The value of dy/dx when x=4 is 1/4.

To find the value of dy/dx, we can use the given equation and the ln formula to differentiate both sides with respect to x. This will give us:

lnx-lny = y-4

d/dx(lnx-lny) = d/dx(y-4)

1/x-1/y (dy/dx) = dy/dx

(1/x-1/y) dy/dx = 0

dy/dx=(1/x)/(1/y)

dy/dx=y/x

Since we are given that y=4 when x=4, we can substitute these values into the equation to find the value of dy/dx when x=4:

dy/dx=4/4

dy/dx=1/4

Therefore, the value of dy/dx when x=4 is 1/4.

Learn more about Differentiable Function here: brainly.com/question/30079101

#SPJ11

Answer:

Im not gonna explain i will give you the answer that i came up with I currently have 60 right now hope this is right

Step-by-step explanation:

Answer:

\(-5(g - 3h + 5)\)

Step-by-step explanation:

Given

\(-5g + 15h - 25\)

Required

Factor using a negative factor

Express each term as a factor of -5

\(-5*g - 5*-3h - 5 * 5\)

Factor out -5

\(-5(g - 3h + 5)\)

Hence:

The factored form of \(-5g + 15h - 25\) is \(-5(g - 3h + 5)\)

Answer: C) 13

Step-by-step explanation:

The applicable law here is the “Pythagorean Theorem”, which is simply given as: c^2= a^2+b^2

In this case “c” represents the hypotenuse, while “a” and “b” represents the two legs respectively.

This then translates to:

16^2= 9^2+b^2

256= 81+b^2

256-81=b^2

175= b^2

b = √175

b = 13.22

To the nearest whole number:

b = 13

Answer:

2/8 and then u can do this 2/8 2/4

Step-by-step explanation:

The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes.

The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry.

These functions' inverses are designated by the notations csc(-1)x, cos(-1)x, cot(-1)x, sec(-1)x, sin(-1)x, and tan(-1)x.

Keep in mind that f(-1) here refers to the inverse function, not f to the -1 power.

According to our question-

the biggest angle on a wire that is 30 inches long and bent into a triangle with sides that measure 6 inches, 11 inches, and 13 inches.

cosine rule is given as

cosa= a^2 + b^2 + c^2/2ab

cosa = 36 + 121 - 169/132

a = 95.22°

Hence, The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.

learn more about the trigonometry click here:

brainly.com/question/22698523

#SPJ4

Answer:√17

              √81

                √27

This 3 numbers are irrational number

Answer:

17 and 27 are irrational

Step-by-step explanation:

To determine the critical value of F for a one-way between-subjects ANOVA with 5 levels and 48 people, we need to find the degrees of freedom for the numerator and the denominator.

The numerator degrees of freedom (df₁) is equal to the number of levels minus 1, which is 5 - 1 = 4.

The denominator degrees of freedom (df₂) is equal to the total number of people minus the number of levels, which is 48 - 5 = 43.

Using these degrees of freedom, we can look up the critical value of F from the F-distribution table or use statistical software.

For an alpha level of 0.01 and df₁ = 4 and df₂ = 43, the critical value of F is approximately 3.737.

Therefore, the correct answer is B. 3.737.

Learn more about ANOVA here -: brainly.com/question/14984889

#SPJ11

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

Click here to learn more about equations.

https://brainly.com/question/19297665

#SPJ1

Answer:

68

Step-by-step explanation:

let the angleAGF be y

then,

y+22=90

y=90-22

y=68

y=x(being vertically oppsite angle

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

To learn more about product rule - sum rule visit

https://brainly.com/question/29508207

#SPJ4

(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

Learn more about differential equation here:

https://brainly.com/question/32524608

#SPJ11

There is not enough information provided to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. The null hypothesis is that proportion of readers owning a Rolls Royce is equal to 0.78 and alternative hypothesis is that proportion of readers owning a Rolls Royce is not equal to 0.78.

To determine if there is sufficient evidence at the 0.02 level to refute the newsletter publisher's claim that 78% of their readers own a Rolls Royce, we need to conduct a hypothesis test. Here are the null and alternative hypotheses for this scenario:

Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is equal to 0.78 (P = 0.78)

Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is not equal to 0.78 (P ≠ 0.78)

To test these hypotheses, follow these steps:

1. Collect a random sample of readers and record the number of Rolls Royce owners in the sample.

2. Calculate the sample proportion (p-hat) of Rolls Royce owners.

3. Calculate the test statistic using the formula: z = (p-hat - P) / sqrt(P * (1-P) / n), where P is the claimed proportion (0.78) and n is the sample size.

4. Determine the critical value for a two-tailed test at the 0.02 significance level (α = 0.02), which is approximately ±2.576 (from a z-table or calculator).

5. Compare the test statistic (z) to the critical value. If the test statistic is greater than or equal to the critical value or less than or equal to the negative critical value, reject the null hypothesis in favor of the alternative hypothesis. If not, fail to reject the null hypothesis.

Based on the results, you can determine if there is sufficient evidence to refute the publisher's claim at the 0.02 significance level. However, just based on the given information, there is not enough information to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. We need the sample size.

Learn more about Null Hypothesis:

https://brainly.com/question/25263462

#SPJ11

Answer:

3π

Step-by-step explanation:

period = 3π

Answer:

3⁷ x 7³ x 11²

Just write down the product of the highest power of all the powers that appear in either or both numbers.

Answer:

D) y/x = 1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

n = 15/6

Step-by-step explanation:

Step 1: Distribute

2n + 4 + 6 = -9 + 8n + 4

Step 2: Combine like terms

2n + 10 = 8n - 5

Step 2: Isolate n's

10 = 6n - 5

15 = 6n

n = 15/6

Isolate the variable by dividing each sides by factors that don't contain the variable.

Exact form: n = \(\frac{5}{2}\)

Answer:

∠S = 105°

∠T = 95°

Step-by-step explanation:

Cyclic quadrilateral:

   Quadrilateral MNST is a cyclic quadrilateral. In cyclic quadrilateral, the opposite angles are supplementary.

     m∠S + m∠M = 180°

 3x + 2x +  5 = 180

        5x  + 5  = 180           {Combine like terms}

                 5x = 180 - 5     {Subtract 5 from both sides}

                 5x = 175

                    x = 175 ÷ 5  {Divide both sides by 5}

                    x = 35°

∠S = 3x

    = 3 * 35

    = 105°

∠T = 3x - 10

     = (3*35) - 10

     = 105 - 10

     = 95°

We can see here that ∠NQR and ∠NMP are corresponding angles because they occupy the same relative position.

Also, ∠PRQ and ∠QRN are supplementary angles because they are found on a straight line and add up to 180.

When two rays have a shared termination, an angle is created. The two rays are referred to as the sides of the angle, while the common terminal is known as the vertex of the angle.

∠NRQ and ∠QRS are acute angles. They are angles that are less than 90°. Their sum is not up to 180°.

∠MQS and ∠QMS are interior angles because they make the remaining angles of the triangle.

Part B:

∠SRP will be = 180° - (63.4° + 45°) = 180° - 108.4° = 71.6°

Learn more about angle on https://brainly.com/question/25215131

#SPJ1

it will take k × x × w weeks to build x miles of highway with w workers, where k is the constant of proportionality.

Let's say it takes "t" weeks to build "m" miles of highway with "w" workers. Based on the given information, we can write the following proportion:

t weeks / m miles = k × w workers

Where "k" is the constant of proportionality.

Now, if we want to find how long it will take workers to build "x" miles of highway, we set up the proportion as follows:

t weeks / x miles = k × w workers

To solve for "t," we can cross-multiply and then divide:

t weeks = (k × w workers × x miles) / 1

t weeks = (k × x × w) / 1

t weeks = k × x × w

Therefore, it will take k × x × w weeks to build x miles of highway with w workers, where k is the constant of proportionality.

Learn more about proportionality at https://brainly.com/question/1496357

#SPJ1

Based on these observations, we can conclude that a - b - c cannot be determined uniquely from the given information. We would need additional information about the function or the values of a, b, and c to solve the problem.

The given problem involves the function f(x) = [n!(2x + 1)""], where n = 0. Here, [] denotes the greatest integer function, and "" denotes the fractional part of a number.

The ROC (region of convergence) is given as R = a, which means that the function converges for all values of x lying on the real line. The IOC (interval of convergence) is denoted by {*}, which means that it cannot be determined from the given information.

To find a - b - c, we need to have more information about the function or the values of a, b, and c. However, based on the given problem, we can make the following observations:

Since n = 0, the function reduces to f(x) = [(2x + 1)""].

The function is undefined for x = -1/2, where the term inside the square brackets becomes zero and the function becomes discontinuous.

For all other values of x, the function takes on non-negative values.

The function is periodic with period 1, since adding or subtracting an integer from x does not change the value of the function.

Based on these observations, we can conclude that a - b - c cannot be determined uniquely from the given information. We would need additional information about the function or the values of a, b, and c to solve the problem.

Learn more about function  from

https://brainly.com/question/11624077

#SPJ11

Answer: you get 72 from multiplying the width plus length so there is your real answer

Answer:

X=6°

m<MGN=24°

m<OGN=24°

m<MGO=48°

Step-by-step explanation:

person above me is awesomely correct

Answer:

The price of 1 marker is $3

Step-by-step explanation:

15/5 = 3

Answer:

5 markers cost $6.55 :)

The sum of 3.8 + (-0.6) is 3.2 and has been plotted in the number line.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

Now the given expression is,

3.8 + (-0.6)

Adding them we get,

3.8 + (-0.6) = 3.8 - 0.6

⇒ 3.8 + (-0.6) = 3.2

If we plot in the number line then it will represent the blue line which is going from 0 to 3.8

And 3.2 is represented by the blue line

Thus, the sum of 3.8 + (-0.6) is 3.2 and has been plotted in the number line.

To learn more about the number line,

brainly.com/question/13189025

#SPJ2

a) The mean and the standard deviation of the amateur golfer’s scores for both the years 2014 and 2015 are given below:2014 Season Mean of scores = (72+76+77+75+73+71+73+75) / 8

= 592 / 8 = 74

Standard Deviation (SD) of scores = 2.29 (rounded to 2 decimal places) 2015

Season Mean of scores

= (69+68+73+75+83+78+69+77) / 8

= 592 / 8

= 74

Standard Deviation (SD) of scores = 5.05 (rounded to 2 decimal places)b)

The primary difference in performance between 2014 and 2015 is that the standard deviation of the scores in 2015 is greater than that in 2014.

This indicates that the scores in 2015 were more spread out or varied than in 2014.

Improvement can be seen in the 2015 scores as the mean of scores in 2015 is less than the mean of scores in 2014. The lower mean score indicates an improvement in the performance of the amateur golfer.

For similar question on deviation.

https://brainly.com/question/28225633

#SPJ11

A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

Learn more about an expression here:

https://brainly.com/question/1859113

#SPJ1

A graph that represents the following ellipse (x + 1)²/16 + (y - 3)²/36 = 1 is: C. graph C.

Mathematically, the standard form of the equation of an ellipse is given by mathematical expression:

x²/a² + y²/b² = 1  

Where;

This ultimately implies that, the major axis of this ellipse is the x-axis. By critically observing the graph (see attachment), we can logically deduce the following values:

a = √16 = 4.

b = √36 = 6.

In conclusion, the standard form of the equation of this ellipse is given by (x + 1)²/16 + (y - 3)²/36 = 1.

Read more on ellipse here: https://brainly.com/question/14468579

#SPJ1

Answer:

12 ima shoot u

Step-by-step explanation: