Find the derivative of log e^((1+tan x)) w.r.t x​

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Answer:

no they're not congruent angle side side No,no son congruents angle side side

Answer:

ab +c=d

Step-by-step explanation:

just took the test

Answer:

El opuesto de -6 = 6

El opuesto del opuesto de -6 = -6

Step-by-step explanation:

Espero que esto tenga sentido no hablo español con fluidez lo siento :)

A: Mai answered 5  open-ended questions correctly,

B: Priya answered 15 multiple-choice questions correctly,

C: expression for the condition is y = 10 + 4a + 6b.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given points on each multiple choice question = 4

points on each open-ended question = 6

extra credit for winners = 10 points

A. If Mai answered 13 multiple-choice questions correctly and earned a total score of 92,

the total score of multiple choice questions = 13*4

the total score of multiple choice questions = 52

score left  = 92 - 52 - 10 (reducing 10 for extra points)

score left  = 30

open-ended questions she answers correctly = 30/6

open-ended questions she answers correctly = 5

B:  If Priya answered 4 open-ended questions correctly and earned a total score of 94,

the total score of open-ended questions = 4*6

the total score of open-ended questions = 24

the score left  = 94 - 24 - 10 (reducing 10 for extra points)

score left  = 60

multiple choice questions she answers correctly = 60/4

multiple choice questions she answers correctly = 15

C:  an expression that will represent a student's score in first period,

let y be the total score,

a be the number of multiple choice questions answered,

the total score of multiple choice questions = 4a

and b be the number of  open-ended questions answered,

the total score of open-ended questions = 6b

expression is,

y = 10 + 4a + 6b  (adding 10 for extra points)

Hence Mai answered 5  open-ended questions correctly,

Priya answered 15 multiple-choice questions correctly,

and expression is y = 10 + 4a + 6b.

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Answer:

No, it is not

Step-by-step explanation:

5(4) - 2(1) = 16

20 - 2 = 16

18≠16

9514 1404 393

Answer:

  (a, b) = (4, 8)

Step-by-step explanation:

Writing both equations in general form, we have ...

  6a -5b +16 = 0

  9a -7b +20 = 0

__

We can make a little array of the numbers in the equations:

  \(\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right]\)

Note that the first column is repeated at the end.

Now, we can "cross multiply" and form the differences of products in adjacent columns:

  d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns

  d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns

  d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns

Then the solutions to these equations are the solutions to ...

  1/d1 = a/d2 = b/d3

  a = d2/d1 = 12/3 = 4

  b = d3/d1 = 24/3 = 8

The values of a and b are 4 and 8, respectively.

_____

Additional Comment

There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.

__

* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer:

x = 2.4/20= 0.12

Step-by-step explanation:

Multiply both sides by 4 to eliminate the fraction 1/4:

1      20

--- = ------

x      2.4

Next, we cross-multiply.  This eliminates the fractions:

20x = 2.4

Dividing both sides by 20 results in an equation for x:  x = 2.4/20= 0.12

Answer: Hi How are you doing

Step-by-step explanation:

Hi Hi Hi Hi Hi

Answer:

Step-by-step explanation:

2/5 g = 3/5

g = 3/5 - 2/5 = 1/5

Answer:

Step-by-step explanation:

Slope of the given line: m=4/3

Slope of the perpendiclar : m'=-3/4 (the inverse of the opposed of m)

Equation of the perpendiclar line: (passing through (-7,2))

\(y-2=(x+7)*\dfrac{-3}{4} \ or\\\\ y=-\dfrac{3x}{4} -\dfrac{13}{4}\)

THe value of the expression using BODMAS rule is 26

The abbreviation BODMAS, which stands for "Brackets, Order of powers or roots, Division, and Multiplication," is followed by the BODMAS rule. A stands for addition and S for subtraction. According to the BODMAS rule, multi-step mathematical statements must be solved in the BODMAS order from left to right.

The order of operations, or BODMAS, is a method for carrying out operations in an arithmetic statement. Math is all about logic, and there are several established laws that help us with our calculations. BODMAS is one of the established rules for consolidating multiple operator expressions.

An expression or equation in mathematics has two parts:

A character known as an operator joins two integers to form an expression or equation. The four most often used operators in mathematics are addition (+), subtraction (-), multiplication (*), and division (*/*). Finding the solution to mathematical statements or equations with just one operator is usually rather easy.

The expression is 14 + 2 + 3(4) - (6-1-3) = 14 + 2 + 12 - 2 = 26

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The total price for 2 suits and 6 dresses is  £57.75

What is price of two suits?

The price of two suits is the sum of the normal price for the first suit and the  half the normal price for the second suit

Price of two suits=£12.50+(1/2*£12.50)

Price of two suits=£12.50+£6.25

Price of two suits=£18.75

What is 6 dresses ?

The price of 6 dresses is  twice the price of 2 dresses, I mean since three dresses are priced at the price of two dresses, it means 6 dresses are priced at the price of four dresses

price of 6 dresses=£9.75*4

price of 6 dresses=£39.00

Price of total price for 2 suits and 6 dresses=£18.75+£39.00

Price of total price for 2 suits and 6 dresses= £57.75

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Answer:

uftydrtxdhgcfvkbljngcfgxdhfcjgvhkbj,n

Step-by-step explanation:

jbhvgcxfghcjgvm,bn.m

Answer:

13ft a second it's just a an average it the feet divided by the time by 2

Answer:

91

Step-by-step explanation:

We just have to put in the value of x into the equation.

  8 - 4[x - (2x² + 5)] + 3

= 8 - 4[3 - (2×3² + 5)] + 3

= 8 - 4[3 - (2×9 + 5)] + 3

= 8 - 4[3 - (18 + 5)] + 3

= 8 - 4(3 -23) + 3

= 8 - 4(-20) + 3

= 8 - (-80) + 3

= 8 + 80 + 3

= 91

Answer:

a \(Pr = 0.25\)

b \(Pr = 0.50\)

c \(Pr = 0.1875\)

Step-by-step explanation:

Given

\(n = 4\) --- number of times

\(r = 2\) --- faces of a coin

First, is to determine the sample size.

This is calculated as:

\(Size =r^n\)

\(Size =2^4\)

\(Size =16\)

Solving (a): First and last slip is head

This event is represented as:

\(E=\{HHHH, HHTH, HTHH, HTTH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{4}{16}\)

\(Pr = 0.25\)

b) At least 2 consecutive flips that is heads.

This event is represented as:

\(E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{8}{16}\)

\(Pr = 0.50\)

c) First is tail and at least 2 consecutive flips is head.

This event is represented as:

\(E=\{THHH,THHT,TTHH\}\)

The probability is calculated as:

\(Pr = \frac{n(E)}{Size}\)

\(Pr = \frac{3}{16}\)

\(Pr = 0.1875\)  

The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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Answer:

12 minutes

Step-by-step explanation:

If you walk 5 MPH (which is a jog for most folks), then it will take 12 minutes to walk one mile or 1 hour to walk 5 miles.

May I have brainliest please? :)

Answer:

Step-by-step explanation:

Lets illustrate one method by an example:

Find the square root of  12:

The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.

We might predict it to be 3.5

If we square 3.5 we get 12.25 so we are pretty close.

It is less than 3.5 so we might try 3.4 .

Working 3.4^2 out we get  11.56  so we know the square root is between 3.4 and 3.5  Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.

This is called the method of trial and improvement and requires you to do long multiplications.

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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