find all the solutions of the equation 2 sin x tan 2x - sqrt{3} tan 2x = 0 over the interval 0 < x <= pi

Answer:

About 22 weeks

Step-by-step explanation:

Count the remainder as another week.

Answer:

21.27 weeks

Step-by-step explanation:

15x = 319

15x / 15 = 319 / 15

319 / 15 = 21.27

To check:

$15per week × 21.27 = $319.05

Step-by-step explanation:

\(12 \frac{1}{25} - 7 \frac{2}{15} \)

\( \frac{368}{75} \)

The accurate statements about the clock are:

The circumference of the clock is approximately 62.8 inches.

The length of the major arc between 3 and 10 is approximately 31.4 inches.

The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The circumference of the clock is approximately 62.8 inches.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle.

Given that the radius of the clock face is 10 inches, the circumference can be approximated to \(2 \times 3.14 \times 10 = 62.8\) inches.

The length of the major arc between 3 and 10 is approximately 31.4 inches. The major arc is the longer arc between two points on the circumference of a circle.

To calculate the length of an arc, we use the formula L = (θ/360) \(\times\) C, where θ is the central angle in degrees and C is the circumference of the circle.

The central angle between 3 and 10 is 210° (calculated as 10 - 3 = 7 segments \(\times\) 30° per segment).

Plugging in the values, we get L = (210/360) \(\times\) 62.8 ≈ 36.77 inches.

The length of the minor arc between 6 and 7 is approximately 5.2 inches. Similar to the previous statement, the length of an arc is calculated using the formula L = (θ/360) \(\times\) C.

The central angle between 6 and 7 is 30°, as there is one segment between them.

Plugging in the values, we get L = (30/360) \(\times\) 62.8 ≈ 5.23 inches.

The statement about the central angle formed when one hand points at 1 and the other hand points at 3 being 30° is incorrect, as the central angle between 1 and 3 is 60°.

The statement about the minor arc measure when one hand points at 12 and the other hand points at 4 being 120° is also incorrect, as the minor arc between 12 and 4 is 240°.

For similar question on minor arc.  

https://brainly.com/question/28980798  

#SPJ11

Answer:

b, d, and e

Step-by-step explanation:

i just did it

Answer:

approx 149.85 cm^2

The  value of the line integral is 1.

To apply Green's Theorem, we need to find the curl of the vector field F = (xy, (x^2 - y^2)).

∂F2/∂x = 2x
∂F1/∂y = x

So, the curl of F is given by ∂F2/∂x - ∂F1/∂y = 2x - x = x.

Now, we can use Green's Theorem to evaluate the line integral by computing the double integral of the curl of F over the region R enclosed by the curve C.

∫∫R x dA = ∫0^2 ∫0^y x dxdy + ∫2^0 ∫1^y x dxdy
           = ∫0^1 ∫0^2 x dydx
           = ∫0^1 2xdx
           = 1

Therefore, the value of the line integral is 1.

Visit to know more about Integral:-

brainly.com/question/30094386

#SPJ11

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 256in

Answer:

The common factor is (3x+1).

The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

For more questions on Calculus

https://brainly.com/question/29499469

#SPJ4

As a manager, it is important to make loan authorization decisions based on financial facts and objective analysis rather than personal biases or gut feelings.

As a responsible manager, it is essential to make loan authorization decisions based on objective criteria rather than personal biases or gut feelings. In the case where you disagree with your subordinate's recommendation to provide a loan to a customer intending to invest in a restaurant, it is important to evaluate the customer's financial facts such as their credit history, business plan, financial projections, and ability to generate sufficient revenue to repay the loan. Personal opinions about the viability of restaurants as investments should not be the sole basis for denial.

Similarly, if your subordinate recommends a loan for a medical operation, your decision should be based on the customer's financial stability, business plan, potential profitability, and risk management strategies.

When evaluating a loan application, it is crucial to focus on financial facts rather than personal opinions about family members. Assess the customer's creditworthiness, financial history, business plan, and repayment capacity to make an informed decision.

Learn more about manager here:

https://brainly.com/question/32150882

#SPJ11

Answer:

2040

Step-by-step explanation:

2000+ 20%=2400-15%=2040

pls mark brainiest

Answer:

Step-by-step explanation:

100%= Rs2000

1%=Rs 20

120%= Rs2400

Cost is 2400 Rs

100%= 2400

1%= 24

(100-15=85)

85%= 2040

With discount it is Rs2040

Then with an extra 15% VAT

100%= 2040

1%= 20.4

115%= 2346

I think the answer is Rs2346

Answer:

m ACG = 17

x = 24

Step-by-step explanation:

\(1)\ m\ ACG = x - 7 = 90 - 73 = 17\)

\(2)\ x - 7 = 17 => x = 17 + 7 = 24\)

The answer null hypothesis is \(H_{0}: \mu_{A}=M_{B}\)

Let us define,

\($\mu_{A}=$\) Population mean error for the first process;

\($\mu_{B}=$\) Population mean error for the second process.

To test the claim

Two processes yield different average errors.

\($$\begin{aligned}&\text { (i.e. } \left.\mu_{A} \neq \mu_{B}\right) \text {. } \\&\text { ie. }\left(\mu_{A}-\mu_{B} \neq 0\right) \text {. }\end{aligned}$$\)

So, putting the claim as the alternative Hypothesis (research hypothesis; the required null and alternative hypotheses would be :

\(\begin{aligned}&\mu \omega: \mu_{A}=\mu_{B} \\&\mu_{1}: \mu_{A} \neq \mu_{B}\end{aligned}\)

\($\therefore$\)Required null hypothesis\(H_{0}: \mu_{A}=\mu_{B}\)

What is null hypothesis?

To learn more about null hypothesis visit:

https://brainly.com/question/19263925?

#SPJ4

Answer:

Angle E is 54* and Angle F is 126* , Angle d is 90*

Step-by-step explanation:

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

Answer:

w=y=86

Step-by-step explanation:

A triangle has a total angle of 180 degrees

w=y because the triangle is isoceles meaning that two sides are the same length (they are marked with a line through them)

180-94=86 degrees=w+y

w+y so 86/2=43 degrees

w=y=86

is that all the missing angles?

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

Learn more about test statistic here:

https://brainly.com/question/14128303

#SPJ4

Answer:

hm im not so sure

Step-by-step explanation:

Answer:252

Step by step explanation:

db

The false alternative regarding A is the option c, |Ƥ (A)| = 8.

The set A is composed of three elements: the empty set, the number 1, and the set containing the number 1. The option a is true because the set containing the number 1 is a subset of A. The option b is also true because the empty set is a subset of A.

The option d is true because the empty set is an element of A. However, option c is false because the power set of A, which is the set of all subsets of A, has 2^3 = 8 elements, not |Ƥ (A)| = 8. The power set of A is {{⊘}, {1}, {{⊘}}, {{1}}, {{⊘}, 1}, {1, {1}}, {{⊘}, {1}}, {{⊘}, 1, {1}}}. Therefore, option c is the false alternative regarding A.

To learn more about subset click here: brainly.com/question/31739353

#SPJ11

The rule must be used to find the total number of offices in the building is option (a) product rule.

The product rule is used when we want to find the total number of objects or events that can occur when there are multiple independent choices or events.

In this case, we can use the product rule to find the total number of offices in a building by multiplying the number of offices on each floor by the total number of floors in the building.

For example, if there are 10 floors in a building and each floor has 20 offices, then the total number of offices in the building would be 10 x 20 = 200.

The product rule tells us that the total number of offices is equal to the product of the number of offices on each floor and the number of floors in the building.

Therefore, the correct option is (a).

To know more about total here

https://brainly.com/question/14286201

#SPJ4

c. the first equation is identified provided that b₃ ≠ 0. In a simultaneous equation model, identification refers to the ability to estimate the parameters of the equations uniquely.

For identification of the first equation, we need the coefficients of the exogenous variables (Z and W) in the second equation (b₂ and b₃) to be nonzero. This is because if either b₂ or b₃ were zero, the second equation would no longer depend on Z or W, making it impossible to determine the effect of Z on Y in the first equation.

Therefore, when b₃ ≠ 0, the first equation becomes identified, allowing for the estimation of its parameters. Option (c) correctly states that the first equation is identified provided that b₃ ≠ 0.

To learn more about equation click here: brainly.com/question/29657983

#SPJ11

It appears to involve Laplace transforms and initial-value problems, but the equations and initial conditions are not properly formatted.

To solve initial-value problems using Laplace transforms, you typically need well-defined equations and initial conditions. Please provide the complete and properly formatted equations and initial conditions so that I can assist you further.

Inverting the Laplace transform: Using the table of Laplace transforms or partial fraction decomposition, we can find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Please note that due to the complexity of the equation you provided, the solution process may differ. It is crucial to have the complete and accurately formatted equation and initial conditions to provide a precise solution.

To know more about equations:- https://brainly.com/question/29657983

#SPJ11

Answer:

Step-by-step explanation:

The probability of the spinner landing on blue is 1/4, since there are 4 equally likely outcomes.

The probability of rolling an even number on a fair 6-sided die is 3/6 or 1/2, since there are 3 even numbers (2, 4, 6) out of 6 possible outcomes.

To find the probability of both events happening together (landing on blue and rolling an even number), we multiply their probabilities:

P(blue and even) = P(blue) x P(even)

= 1/4 x 1/2

= 1/8

Therefore, the probability of the spinner landing on blue and rolling an even number is 1/8.

The long polynomial division of the given equation is \(\ 2x^2-5x+4-\frac{6}{5x+1}\).

What is long polynomial division?

Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.

We have,

            \(10x^{3} -23\pi x^{2} +15x - 2\)   £ \(5x+1\)

By taking long division

                        \(= \:\frac{10x^3-23x^2+15x-2}{5x+1} \\)

                        \(= \quad 2x^2-5x+4-\frac{6}{5x+1}\)

                        \(= \ 2x^2-5x+\frac{20x-2}{5x+1}\)

                        \(= \ 2x^2-5x+4+\frac{-6}{5x+1}\)

By simplifying we get,

                        \(= \ 2x^2-5x+4-\frac{6}{5x+1}\)

To learn more about long polynomial division visit,

https://brainly.com/question/24662212

#SPJ13

\(\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)\)

\(\\ \rm\rightarrowtail -8x-4\leqslant 3x-15\)

\(\\ \rm\rightarrowtail -11x\leqslant -11\)

\(\\ \rm\rightarrowtail x\geqslant 1\)

Answer:

x ≥ 1

Step-by-step explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

Step 2 : Bring x terms to one side and numerical terms to the other

Step 3 : Divide by -11 on both sides

Solution

x ≥ 1

Answer:

its the first one

Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

Step-by-step explanation:

4x(8+5)+9

=52x+9

=52x+9

Description:

The first step is to simplify the equation provided. So in this case the equation is 4 x (8 + 5) + 9.  After that you will get your answer as =52x+9. So in this case 4 x (8 + 5) + 9 = =52x+9.

Answer: =61

Hope this helps.

Answer:

4x8 +4x5 + 9=

32+20+9=61

Or we can do

4 x (13) + 9=

52+9=61