Find :\(\mathsf {\frac{dy}{dx} (3x^{2} - 9x + 5)^{9}}\)
Require thorough explanation. Thanks in advance!

this might help

https://socratic.org/questions/a-number-cube-is-labeled-1-through-6-what-is-the-probability-of-rolling-a-number

The probability of getting even number is 1/2.

It is a measure of happening or non-happening of outcomes of a random experiment.

P(E) = Number of favorable outcomes/Total number of outcomes

According to the given question

We have

A cube labeled 1 to 6

Therefore,

sample space = {1, 2, 3, 4, 5, 6}

⇒ Total number of outcomes = 6

Numbers of even number on a die = { 2, 4, 6}

⇒ Total number of favorable outcomes = 3

So, the probability of getting even number = \(\frac{3}{6} = \frac{1}{2}\)

Hence, the probability of getting even number is 1/2.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

To learn more about percentages visit the link below:

https://brainly.com/question/30399396

Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

Read more about percentage

https://brainly.in/question/21062337#:~:text=Answer%3A,has%20no%20unit%20of%20measurement.

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Answer:

6^5

Step-by-step explanation:

Answer:

6^5

Step-by-step explanation:

This is because the expression shown is showing 6 times itself 5 times

Answer:

The factorized expression is \(x(3x + y)\)

Step-by-step explanation:

We are given the following expression:

\(3x^2 + xy\)

Factorizing:

We place the common factor in evidence.

The common factor of both elements of the sum is x. So

\(3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)\)

The factorized expression is \(x(3x + y)\)

Answer:

Total Cost, C(x) = 21000 + 11.60x

Revenue, R(x) = 20(x)

Step-by-step explanation:

Given the investment, which is fixed cost = $21000

Per unit cost of product = $11.60

Selling price = $20

Total cost is the sum of fixed cost and the variable cost:

Thus, TC = FC + VC

Let the number units = x

C(x) = 21000 + 11.60x

Now the total revenue:

R(x) = 20(x)

Answer:

A

Explanation:

When a point (x,y) is rotated 90 degrees counterclockwise about the origin our point becomes (-y, x).

Point E is at (6, -3)

If we translate by (x-6,y+3), we have: (6-6,-3+3)=(0,0)

Rotating it 90 degrees counterclockwise about the origin gives the coordinate: (0, 0).

This is equivalent to the coordinate of corresponding vertex B.

The correct choice is A.

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

88.9

Step-by-step explanation:

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

Learn more about PEMDAS, here:

https://brainly.com/question/26499272

Answer:

D. Point

Step-by-step explanation:

A plane is two dimensional surface, For example

if we have a x and y axis and there is a square on it then it will a plan on x and y axis.

If there is a line perpendicular to the plane then then line will be on third dimension that is z axis.

If a line from third dimension intersect at plane then it will intersect at only on point.

It can be explained by

suppose you have have square paper. Then it is a plane (let say x and y axis)

now if you put a pencil on it thoroughly straight, then that pencil will be meet the paper at one point only. If that pencil passes through paper it will not touch paper at any other point apart from the point where it touch the paper.

Thus,

based on this discussion we can say that

A line perpendicular to a plane, would intersect the plane at one D. point

The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".

When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.

In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.

a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.

b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.

c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.

d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.

Therefore, "time(length)" is the most suitable and appropriate name for the function.

For more such questions on function, click on:

https://brainly.com/question/11624077

#SPJ8

Answer:

60 cm³

Step-by-step explanation:

volume of a rectangular pyramid

v = ( l * w * h ) / 3

v = ( 4 * 5 * 9 ) / 3

v = 60

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

Learn more about Matrix property,

https://brainly.com/question/32130263

#SPJ1

In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °

Parallel lines are straight lines that do not intersect at any point in geometry.

Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.

From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.

Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.

now let us solve the linear equation to calculate the value of x.

3x+5 = 4x-30

or, -x = -35

or, x = 35

Now

m∠1 = 3x+5 = 110

Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)

To learn more about origami visit:

https://brainly.com/question/8667656

#SPJ1

The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.

The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)

The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.

Let say Initial quantity demanded is:

x = -0.7(6) + 10

x = 5.8

Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:

= -0.7(6.01) + 10

= 5.793

The % change in quantity demanded will be:

= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%

= [(5.793 - 5.8) / 5.8] x 100%

= -0.12%

As price has changed from 6 to 6.01, we can calculate the percentage change as follows:

% change in price = [(new price - initial price) / initial price] x 100%

= [(6.01 - 6) / 6] x 100%

= 0.17%

Elasticity of demand = (% change in quantity demanded) / (% change in price)

= (-0.12% / 0.17%)

= -0.71

Read more about demand elasticity

brainly.com/question/29615048

#SPJ1

Using percentages we know that 62% or 62 students out of 100 students prefer biology.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Thus, the proportion refers to a component per 100.

The word percent denotes a percentage of 100. It is represented by the symbol "%."

So, according to the given situation:

34 females enjoy biology

Do boys enjoy biology?

It is 34%≤

Then,

27% favor chemistry

10% favor physics.

The calculation would be:

27 + 11 = 38

100 - 38 = 62

Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.

Know more about the percentages here:

brainly.com/question/24877689

#SPJ1

Correct question:

100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Answer:

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

Answer and Step-by-step explanation: it might be for the triangle it's a negative or positive number to make it balance out the scale so looking at the picture it is a positive or negative 30

Answer: 566.55 US dollars

Step-by-step explanation: i think, please give 5 stars

Answer:

h=2A/(a+b)

Step-by-step explanation:

A=1/2*h*(a+b)

h=A/((1/2)*(a+b))

h=A/((a+b)/2)

h=2A/(a+b)

Please mark me as Brainliest if you're satisfied with the answer.

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

To know more about Payment due.

https://brainly.com/question/3656193

#SPJ11

The domain of a function are all the values that x can take for the case of this function, the domain ranges from -3 to 2. The correct notation is:

We use parentheses when the number is not included and bracket when we do include it.

The range is the values that Y can take and in this case it goes from -5 to 4. The correct notation is:

In this case both are brackets since it includes those values

I'm not sure. Don't be angry but this is my first time on this app but it helps a lot and i would also like to help but it seems that I'm the one who needs help.