Given that 3x – tan y = 4, what is dy/dx in terms of y?

The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

To learn more about the function refer to the link

https://brainly.com/question/12431044.

Answer:

Step-by-step explanation:

The expression 2x - 11x - 6 can be simplified as follows:

2x - 11x - 6 = -9x - 6

So, the equivalent expression is -9x - 6.

The answer is:

-9x - 6

Work/explanation:

To simplify this expression, we combine the like terms :

\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)

There's nothing that we can do for this expression. It's been simplified as much as possible.

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

for such more question on secant slope

https://brainly.com/question/27877215

#SPJ8

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

All other things being equal, outliers tend to have a greater effect on the value of the mean, as compared to the value of the median. The given statement is true.

What is the mean and median?

Outliers are values that are significantly different from the other values in a data set, and their presence can greatly affect the value of measures of central tendency, such as the mean and the median.

The mean is a measure of central tendency that is calculated as the sum of all the values in a data set divided by the number of values. The presence of outliers can greatly affect the mean because outliers can have a large impact on the sum of the values in the data set. For example, if a data set has a few very large outliers, the mean will be pulled up to be much higher than the median, which represents the midpoint of the data set.

On the other hand, the median is a measure of central tendency that is calculated as the middle value of a data set when the values are arranged in order. The median is not as sensitive to outliers as the mean because outliers do not affect the median unless the number of outliers is so large that it changes the value of the middle value.

Hence, all other things being equal, outliers tend to have a greater effect on the value of the mean than on the value of the median.

To learn more about Mean, Median, Visit

https://brainly.com/question/542771

#SPJ4

The equation to represent the function P is y=4x as per the given points in the table.

It is easier to see the slope (m) and y-intercept (c) of a line in the slope-intercept form of a linear equation (y=mx+c).

18th-century Switzerland. The first person to present a line's equation in slope intercept format might have been Jakob Hermann.

Y = mx + c is the true slope intercept form. It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

You can see the line's slope and y-intercept in Slope-Intercept form. One point the line travels through and the slope of the line are both clearly displayed in point-slope form.

We know that, the equation of the line is y=mx+c

If this line passes through (0,0) then,

0=m(0)+c

then, c=0

Now, substituting the point (1,4) in the above equation and c=0 then we get,

4=m(1)+0

m=4

Now substitute the point (2,8) then,

8=m(2)+0

m=4

Similarly, by substituting the points  (3,12), (4,16), (5,20), (6,24) we get,

m=4

Now, by substituting c=0 and m=4 in the above equation we get,

y=4x+0

y=4x

Therefore, the equation to represent the function P is y=4x

To know more about slope-intercept form, visit:

https://brainly.com/question/9682526

#SPJ1

A) The interval where the graph is increasing is: (0,0) to (40, 4)

The  interval where the graph remains constant is from: (120, 3) to (140, 3).

The  interval where the graph is decreasing in depth is from: (140, 3) to (180, 0).

B) The domain is from 0 to 180 minutes.

The range of the graph is from 0 to 4 feet.

C) Yes, the graph represents a function

D) The graph depicts the filling of the pool from 0 to 4 feet, followed by a period of constant depth, and finally, the draining of the pool back to 0 feet.

Part A:

- Increasing interval:

The interval where the graph is increasing is from the starting point coordinate (0,0) to the coordinate (40, 4)

- Constant interval:

The  interval where the graph remains constant at a depth of 4 feet which is from (40, 4) to (80, 4) and then from where the depth is 3 feet which is from the coordinates (120, 3) to (140, 3).

- Decreasing interval:

The  interval where the graph is decreasing  in depth is from the coordinates (140, 3) to (180, 0).

Part B:

- Domain: The domain of the relation is the set of time values represented on the x-axis. The domain here is from 0 to 180 minutes.

- Range: The range of the relation is the set of depth values represented on the y-axis. The range of the graph is from 0 to 4 feet.

Part C:

Yes, the graph represents a function. This is because, each input (x-value) is associated with a unique output (y-value).

Part D:

The graph represents the depth of water in a kids' swimming pool over a certain amount of time between 0 and 180 minutes.

At the beginning, the pool is empty, and then the depth slowly increases with time. From 0 to 40 minutes, the depth increases at a constant rate until it reaches 4 feet. Thereafter, it remains constant at that depth for the next 40 minutes, indicating the pool is full. Afterward, there is a gradual decrease in depth over time. From 140 to 180 minutes, the water is drained from the pool, and the depth eventually reaches 0 feet.

Read more about range and domain of graph at: https://brainly.com/question/2264373

#SPJ1

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

To know more about slope , visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

72

Step-by-step explanation:

So draw a square and make an right angle in one of  the squares  corners! so basically what ever is on one side it's on the other side so theirs two 12 so 144 the dived my 2 which is 72!

I don't remember this sorry!

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Answer:

\(<8,10>\)

Step-by-step explanation:

Answer:

Blue (8,10)

Step-by-step explanation:

2(4)=8

2(5)=10

Rewriting each explicit formula in function form given below:

\(g(n) = -3 * (1/2)^(^n^-^1^)\)

\(f(n) = 4 * (1/3)^(^n^-^1^)\)

To convert an explicit formula into a function form, one must denote the variable 'n' as its respective input and represent the formula with that of a function.

Listed below are the steps required:

Original formulas:

\(g n = -3.(1_2)n- 1g\)

\(n = 4.(1_3)n-1\)

In order to transform the original expression to function format, follow these instructions for each individual formula:

- Step 1: Establish both the name of the function and the input parameter it accepts, denoted respectively by 'g', or 'n'.

- Step 2: Alter the specified representation; replace "g n" with "g(n)".

- Step 3: Substitute the hyphen sign '_' with a division symbol '/'.

Subsequently, applying this method specifically on equation g n = -3 * (1_2)n - 1g generates:

\(g(n) = -3 * (1/2)^(^n^-^1^)\)

Thus, the rewritten version in function format is displayed as priorly referred:

\(g(n) = -3 * (1/2)^(^n^-^1^)\)

To implement the same procedure on another given formula, where it states n = 4 * (1_3)n - 1:

- Step 1: Uncover the variables' identity with regards to the name of the function and the current parameters utilized, therefore establishing a new function label 'f' while preserving the relative input, just like previously conducted during the initial steps.  

- Step 2: Adapt your notation appropriately utilizing the newly established variables mentioned in Step 1.

- Step 3: Substitute the underscore designation '*' present within the term with a forward slash '/'.

As a result, following the process will create the convenient formulation of the certain algebraic formula as f(n) = \(4 * (1/3)^(^n^-^1^).\)

Thus, the final draft written in functional form is presented as:

\(f(n) = 4 * (1/3)^(^n^-^1^)\)

Read more about functions here:

https://brainly.com/question/11624077

#SPJ1

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

( x+2) ^2 = 11

x =1.32,-5.32

Step-by-step explanation:

x^2 + 4x -7 = 0

Add the constant to each side

x^2 + 4x -7+7 = 0+7

x^2 + 4x = 7

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add this to each side

x^2 + 4x +4 = 7+4

Take the 4/2 as the term inside the parentheses

( x+2) ^2 = 11

Take the square root of each side

sqrt( ( x+2) ^2)  =±sqrt( 11)

x+2 = ±sqrt( 11)

Subtract 2 from each side

x = -2 ±sqrt( 11)

To the nearest hundredth

x =1.32

x=-5.32

Answer:

\((x+2)^2=11\)

\(x=-2 \pm \sqrt{11}\)

Step-by-step explanation:

\(x^2+4x-7=0\)

\(x^2+4x=7\)

\(x^2+4x+4=7+4\)

\((x+2)^2=11\)

\(x+2=\pm\sqrt{11}\)

\(x=-2 \pm \sqrt{11}\)

The calculated value mean of the sampling distribution for this population is 56

The mean of the sampling distribution for a population with a normal distribution is equal to the population mean.

Therefore, in this case, the mean of the sampling distribution is also 56.

To understand why this is the case, we can consider the central limit theorem, which states that the sampling distribution of the mean of a random sample from a population with any distribution will be approximately normal if the sample size is large enough.

This means that as the sample size increases, the mean of the sampling distribution approaches the population mean.

Therefore, the mean of the sampling distribution for this population is 56.

Read more about sampling mean at

https://brainly.com/question/17019045

#SPJ1

Answer:

15

Step-by-step explanation:

Answer: The given ratio, in simplest form, is 4/7.

Step-by-step explanation:

Rewrite 2/3.5 as 4/7 by multiplying both the 2 and the 3.5 by 2.  This eliminates the decimal fraction.

The given ratio, in simplest form, is 4/7.

The answer for your 1st question is length = 7.65m and width is 4.575 m

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

As the equation you already mentioned

4w=2L+3

LxW=35

so, 4(35/l)=2L+3​

Now, we have to find length

4(35/L) = 2L+3​

140 = (2L +3) * L

140 = 2L² + 3L

2L² + 3L - 140 = 0

As we get quadratic equation so we solve this by quadratic formula

x = (-b ± √b² - 4ac) / 2a

we have the equation is,

2L² + 3L - 140 = 0

where a = 2 , b = 3, c = -140

put these values in quadratic formula

L = (-3 ± √3² - 4*2*-140) / 2*2

  = (-3 ± √9 - 4*2*(-140) ) / 4

  = (-3 ± √9 + 1120 ) / 4

  = (-3 ± √1129 ) / 4

L = (-3 ± 33.6) / 4

Split the values,

L = (-3 ± 33.6) / 4    and    L = (-3 - 33.6) / 4

L = 7.65                   and    L = -9.15  ( -ve value is not possible)

So, the length is 7.65 m and width is

W * L = 35

W * 7.65 = 35

W = 4.575 m

Hence, the length is 7.65 m and width is 4.575 m

To read more about Quadratic equation

https://brainly.com/question/21466038

#SPJ9

Given the general rule for the division of fractions:

Then, in this case we have the following:

therefore, only the second and the last options are less than 1

Step-by-step explanation:

"parallel" means it must have the same slope as the original line.

the slope is the factor of x : 2

when using the given point coordinates we get :

5 = 2×-1 + b = -2 + b

b = 7

and the line equation is therefore

y = 2x + 7

therefore, the 1st and the 5th answer options are correct.

the others have the wrong slope (factor of x).

y=2x+7 is the equation of the line that is parallel to y=2x+3 and passes through the point (-1,5).

We need to find the  equation of the line that is parallel to y=2x+3 and passes through the point (-1,5).

The slope of parallel lines will be same.

So the slope of parallel line is 2.

Now let us find the y intercept of line passing through (-1, 5)

5=2(-1)+b

7=b

y=2x+7 is the equation of the line that is parallel to y=2x+3 and passes through the point (-1,5).

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

0.375 lb

Step-by-step explanation:

For this one all you need to do is convert 6 oz to pounds and to do this

For example to convert an ounce measurement to a pound measurement, use a simple formula. Since one ounce is equal to 1/16 of a pound, the formula for the conversion is:

pounds = ounces ÷ 16

1. Take measurement

2. Divided ounces by 5

3. Round the result to desired decimal places.

And don't just put this answer because I am not very sure.

1.875 pounds of dog food can be eaten by 5 dogs per day.

What information do we have?

Number of dogs = 5

Each dog eats per day = 6 oz

Total dog food eaten per day = Number of dogs × Each dog eats per day

Total dog food eaten per day = 5 × 6

Total dog food eaten per day = 30 oz

1 pound = 16 oz

So,

Total dog food eaten per day = 30oz / 16oz

Total dog food eaten per day =  1.875 pound

Find out more information about 'Pound'.

https://brainly.com/question/17408937?referrer=searchResults

Answer: To find the sales tax percentage, we can start by subtracting the cost of the item itself from the total cost with tax included.

In this case, the cost of the item is $3, and the total cost with tax included is $3.24, so:

$3.24 - $3 = $0.24

Next, we can divide the amount of sales tax by the cost of the item, and multiply by 100 to find the percentage:

$0.24 ÷ $3 × 100 = 8%

So the sales tax percentage is 8%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

$3 item

h = 100 *  3.24 - 3/ 3  =  24/3  = 8 1  = 8%

Sales tax percentage is = 8%