Find the derivative of sin(4x) at x = pi / 6 (a) -2v3 (b) – 2 (c) v3/ 2 (d) 4V3 (e) None of the above

Answer:

15.7 ft cause 5  x 3.14 = 15.7

Step-by-step explanation:

The set of values that satisfies the inequality is (-∝, 6)

Inequality shows the non-equal comparison between two numbers or other mathematical expressions.

Given the inequality: 3k – 6 < 12

Solving the inequality:

3k – 6 < 12

Add 6 to both sides:

3k - 6 + 6 < 12 + 6

3k < 18

Divide both sides of the equation by 3:

3k/3 < 18/3

k < 6

The set of values that satisfies the inequality is (-∝, 6)

Find out more at: https://brainly.com/question/25285332

Answer:

Step-by-step explanation:

Graph #          Matching equation

1                             |-3x|

2                            |-x|

3                           -|2x|

You can tell which one matches by finding the slope and whether the V points up or down

They are congruent because the word congruent means the same shape and size and if you look at the picture angle RAM and angle ZMA have the same shape and the same size.

Answer

The inequality to solve this is

(330/Time) ≤ 55

The solution of this inequality is

Time ≥ 6 hours

Explanation

We are told that the car's maximum speed is 55 miles per hour.

To solve this, we should note that

Speed = (distance/time)

But for this question, we are told that the car has a maximum speed of 55 miles per hour.

So,

(Distance/Time) ≤ 55

If the distance covered is 330 miles

(Distance/Time) ≤ 55

(330/Time) ≤ 55

55 (Time) ≥ 330

Divide both sides by 55

Time ≥ (330/55)

Time ≥ 6 hours

Hope this Helps!!!

Option a) The similar triangles are ⇒ ΔADE ≅ ΔABC

Option b) ∠ADE = ∠ABC

According to the figure given in the question,

We can observe that there are two right-angled triangles present and we have to derive the similarities between them

Let one triangle be = ΔADE

Another triangle be = ΔABC

Let us consider the angle arc at point A,

We can conclude that ⇒ ∠BAC = ∠DAE ( according to the property of similar angles )

⇒ ∠ADE = ∠ABC ( by the similar 90° angles )

and both angles are making a total of 180°

So, from the above expressions, we can say that,

⇒ ∠AED = 180° - ∠A - ∠ABC

⇒ ∠ACB = 180° - ∠A - ∠ABC

Hence, ∠AED = ACB ⇒ ΔADE ≅ ΔABC

Therefore,

Option a) The similar triangles are ⇒ ΔADE ≅ ΔABC

Option b) ∠ADE = ∠ABC

To learn more about the triangle similarity theorem,

https://brainly.com/question/21247688

#SPJ4

To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

To know more about spreadsheet, refer here:

https://brainly.com/question/31511720

#SPJ4

Answer:

X= - 6/20

Step-by-step explanation:

Find the lcm in both sides,,,

Do a cross multiple of the sides,

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

±5

Step-by-step explanation:

Given equation ,

=> x² - 25 = 0

=> x² - 5² = 0

=> ( x +5)(x-5) = 0

=> x = ±5

Answer:

x = -5 or 5

Step-by-step explanation:

→ Factor the quadratic

( x + 5 ) ( x - 5 )

→ Equate each bracket to 0

x + 5 = 0 and x - 5 = 0

→ Solve each for x

x = -5 or 5

It is a true statement that when rainfall increases, the water level in the lake goes up. The rainfall is the independent variable in the situation.

The answer is yes because independent variable is the one that is manipulated or changed in an experiment. The dependent variable is the one that is observed or measured.

In this situation, rainfall is independent variable because it is what is being manipulated or changed. The water level in the lake is the dependent variable because it is what is being observed or measured.

Read more about independent variable

brainly.com/question/82796

#SPJ1

Answer:

The surface area of the similar prism is 56 square inches

Step-by-step explanation:

Given surface area of prism, A = 224 square inches

The total surface area of a triangular prism = 2 x Area of triangle + ph

Area of triangle = ¹/₂bh

Where;

b is the base of the prism

h is the height of the prism

p is the perimeter of lateral surfaces

Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

Product of original dimensions = 224 square inches

1/4 of the product of original dimensions = 1/4 x 224 square inches

= 56 square inches

The surface area of the similar prism = 56 square inches

Thus, the surface area of the similar prism is 56 square inches

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

Learn more about Chi-Square

https://brainly.com/question/32595988

#SPJ11

ANSWER

D. None of the above

EXPLANATION

We want to determine if x = 3 is the solution to the equation given:

To solve this equation, we have to find the square root of both sides of the equation (the solution will consist of a negative and positive number):

Therefore, Diego is incorrect but none of the reasons stated is correct.

Hence, the answer is None of the above.

Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

To learn more about network layers, refer to this link:

brainly.com/question/14571547

#SPJ4

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

y = (6/5)x -2

Step-by-step explanation:

Answer:

y = 6/5x - 2

Step-by-step explanation:

In this question, we have to find the equation of the line with the given information.

We know that the the slope is 6/5 and it passes through the point (5, 4)

Lets represent this problem in slope intercept form with just the slope, since we need to find the "y-intercept".

y = 6/5x + b

To find the y-intercept, plug the values of the coordinate into the equation and solve for b:

4 = 6/5(5) + b

Solve for b:

4 = 6/5(5) + b

4 = 30/5 + b

4 = 6 + b

Subtract 6 from both sides to get "b" by itself.

-2 = b

This means that the y-intercept would be -2

When we put in into our slope intercept equation, it should look like this:

y = 6/5x - 2

y = 6/5x - 2 would be the equation of the line

The equation of the line in the form of ax + by = c is 5x - 2y = -2.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains an equal sign "=" that separates the two expressions.

In mathematics, a line is a straight path that extends infinitely in both directions. It is a fundamental concept in geometry and is used to model many real-world situations in mathematics, science, engineering, and other fields.

To write the equation of a line in the form of ax + by = c, we need to rearrange the equation so that all the terms are on one side of the equation, and the coefficients of x and y are integers.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We can use the point-slope form of the equation to find the equation of the line that passes through the point (-4,-9) with a slope of 5/2:

y - y1 = m(x - x1), where (x1, y1) = (-4, -9)

y - (-9) = (5/2)(x - (-4))

y + 9 = (5/2)(x + 4)

Multiplying both sides by 2, we get:

2y + 18 = 5x + 20

Rearranging terms, we can write the equation in the form of ax + by = c:

5x - 2y = -2

Therefore, the equation of the line in the form of ax + by = c is 5x - 2y = -2.

To learn more about equation visit:

https://brainly.com/question/2972832

#SPJ9

False. If a matrix is diagonalizable then it is not necessarily invertible.

A matrix being diagonalizable does not necessarily imply that it is invertible. A matrix is invertible if and only if its determinant is nonzero. However, a diagonalizable matrix may have zero eigenvalues, which would result in a determinant of zero, making it non-invertible.

Diagonalizability is a property of a matrix where it can be transformed into a diagonal matrix through a similarity transformation using a matrix of eigenvectors. This means that the matrix can be written as A = PDP^-1, where D is a diagonal matrix and P is a matrix of eigenvectors. While this diagonalization process can make some computations easier, it does not guarantee invertibility.

For more questions like Matrix visit the link below:

https://brainly.com/question/29583376

#SPJ11

Answer:

Step-by-step explanation:

Given

x + 9 = 16

x = 16 - 9

x = 7

hope it will help :)

Answer and Step-by-step explanation:

Let's solve your equation step-by-step.

x+9=16

Step 1: Subtract 9 from both sides.

x+9−9=16−9

x=7

Answer:

x=7

The probability of winning on the fourth ticket is 0.83%.

Given, The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20.

This means that the probability of winning is 1/20=0.05.We will play each Saturday until we win.

This statement gives us a hint that we need to find the probability of winning after four attempts/tries

Let the probability of not winning be (1-0.05)=0.95.

Now, the probability of not winning after 4 tries is:P(N) = 0.95 x 0.95 x 0.95 x 0.95 = 0.8145

The probability of winning on the fourth ticket is equal to the probability of not winning in three tickets (0.8145) multiplied by the probability of winning on the fourth ticket (0.05).

Thus, the probability of winning on the fourth ticket is:0.8145 x 0.05 = 0.040725 or 0.04

Summary: The probability of winning based on the type of lottery tickets we purchase is 0.05 or 1 in 20. We will play each Saturday until we win. The probability of winning on the fourth ticket is 0.83%.

Learn more about probability click here:

https://brainly.com/question/13604758

#SPJ11

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

To know more about confidence level, refer:

https://brainly.com/question/20164553

#SPJ4

Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

Learn more about proportional relationships here: brainly.com/question/10424180

#SPJ1

Step-by-step explanation:

[ -6 +22 – 6 + 8 ] = 18

18 ÷ (-9) = -2

{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40

400 ÷ 40 = 10

(40 x 23) + (40 x -17)

920 + (-680)

= 240

(1673 x 99) + 1673

1673 x 100

= 167300

Hope this helps ^-^

Answer: A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

Step-by-step explanation:

A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

Answer:

7,8,9,10

I HOPE ITS HELP

THANK YOU

Answer:

PQ= XY

QR=YZ

RP=ZX

/_P= /_X

/_Q= /_Y

/_R= /_Z