Can someone please help?

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

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Answer:

RS = 18

Step-by-step

PR = x

RS = x+2

SQ = x+4

x+(x+2)+(x+4)=54

3x+6=54

3x=48

x=16

PR = 16

RS = 18

SQ = 20

The length of the middle segment RS is determined as 18.

Let's assume that the three consecutive even integers are x, x + 2, and x + 4

So, the length of PR (x) + the length of RS (x + 2) + the length of SQ (x + 4) equals the total length of PQ (54).

Mathematically, this can be represented as:

x + (x + 2) + (x + 4) = 54

Now, let's solve for x:

3x + 6 = 54

Subtract 6 from both sides:

73x = 48

Now, divide by 3:

x = 16

So, the first even integer (PR) is 16, the second even integer (RS) is 16 + 2 = 18, and the third even integer (SQ) is 16 + 4 = 20.

Thus, the length of the middle segment RS is 18.

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Answer: b ≥ -9 or [−9,∞)

Step-by-step explanation: if we're solving the inequality for b the answer would be b ≥ -9. If your looking for the interval notation form it would be [−9,∞)

The length of this pendulum that makes one full swing is 3.93 meters.

Given the following data:

To determine the length of this pendulum that makes one full swing:

Mathematically, the time taken by this pendulum is given by this formula:

\(T=2\pi \sqrt{\frac{L}{32} }\)

Making L the subject of formula, we have:

\(T^2 = 4\pi ^2 \frac{L}{32} \\\\32T^2 =4\pi ^2L\\\\L=\frac{32T^2}{4\pi ^2}\)

Substituting the given parameters into the formula, we have;

\(L=\frac{32 \times 2.2^2}{4 \times (3.14)^2 } \\\\L=\frac{32 \times 4.84}{4 \times 9.8596 }\\\\L=\frac{154.88}{39.4384}\)

L = 3.93 meters.

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Answer:

4

Step-by-step explanation:

Answer: 431 664.685 m2

Step-by-step explanation:

Answer:

The answer is an angle that equals 180 degrees.

Step-by-step explanation

You would need to draw pictures that are just a line with a semi-circle that has an angle of 180 degrees as your examples.

Answer:

EZ 12678906543234567

Step-by-step explanation:

TOLD YOU :D

BRAINLY PLZ

8X4 =32

8+4 IS 12

SO I DONT KNOW BUT YA

Answer:Hi B)

Step-by-step explanation:

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value,b) Customs duties in these three cases are typically calculated based on the customs value of the imported goods.

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value. The transaction value is the price actually paid or payable for the imported goods, which typically includes the cost of the goods themselves, any assists (such as packaging or materials provided by the buyer), royalties, license fees, and any other payments made as a condition of sale.

b) To calculate customs duties in these cases, the customs value is used as the basis. The customs value includes the transaction value and certain adjustments, such as the cost of transportation to the place of importation, loading, unloading, and handling charges incurred in transporting the goods to the importing country, as well as the cost of insurance. These adjustments are necessary to determine the value of the goods at the time and place of importation.

Once the customs value is determined, customs duties are applied to this value based on the applicable tariff rates or preferential trade agreements. Customs duties are typically calculated as a percentage of the customs value, although specific duty rates or other calculation methods may also be used depending on the nature of the imported goods and the relevant customs regulations of the country.

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To answer this question, we must calculate the size of the pipe required to carry oil with a kinematic viscosity of 0.0002 ft^2/s at a rate of 8 ft^3/s, if the frictional head loss is 0.4 ft over 100 ft length of the pipe.

Assuming element of = 0.00015 ft, we can use Moody's chart to solve this problem.

To begin, let's convert the given units to SI units. We can do this by multiplying the viscosity (V) by 0.0929 and the length (L) by 0.3048. This gives us the following values:

V = 0.00018 ft^2/s

L = 30.48 m

Now that we have our converted values, we can use Moody's chart to determine the size of pipe required. We must calculate the Reynold's number (Re) to do this. We can calculate Re using the following equation:

Re = (V*Q)/(L*A)

Where V is the viscosity, Q is the flow rate, L is the length, and A is the area. Plugging in the values we get:

Re = (0.00018*8)/(30.48*A)

Solving for A, we get:

A = 0.0024 m^2

Using Moody's chart, we can determine that the required size of pipe is 0.25 inch (6.35mm).

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The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given Figure BCDE, which is transformed using the composition rx-axis ◦ T2,2. Also, the coordinates of point B on the pre-image lies at (3, 4). Therefore, the coordinates of B'' on the final image will be,

rx-axis ◦ T2,2 (3,4)

= rx-axis ( T2,2 (3,4)  )

= rx-axis ( 5,6  )

= (5, -6)

Hence, the correct option is B.

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Answer: Did you copy and paste this because this just hits different. message me if i misunderstood this.

Step-by-step explanation:

The probability that the fourth term in Jacob's sequence is an integer is 5/8  

Finding Probability :  

In Mathematics, Probability is defined as the ratio of the number of favorable outcomes and the total number of outcomes in a random experiment. It is denoted by P(E) and the formula for a probability of an event is given by  

Given that

Jacob uses a procedure to write down a sequence of numbers.

First, he chooses the first term to be 6.

He flips a fair coin. if it comes up heads, he doubles the previous term and subtracts 1.

If it comes up tails, he takes half of the previous term and subtracts 1

We can form a tree chart by following Jacobs's procedure as shown below  [ For more understanding observe the given picture ]

For 2nd term      

If the coin comes up head then it will be => 2(6) - 1 = 11

If the coin comes up tail then it will be => 6/2 - 1 = 3

then 2nd term will be 11 or 3

[ The above procedure follows up to 4th term ]

Here at 4th term number of outcomes = 8  [ from picture ]

The number of favorable outcomes (which gives an integer) = 5

From the above calculations,

The probability that the fourth term in Jacob's sequence is an integer

= 5 / 8  

Therefore,

The probability that the fourth term is an integer is 5 / 8  

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Let:

x = Chemistry textbooks sold

y = Physics textbooks sold

The textbook store sold a combined total of 260, so:

The number of chemistry books sold was three times the number of physics textbooks sold, so:

Let:

Replace (2) into (1):

Replace the value of y into (2):

For a painting with frame, the quadratic equation can be ued too determine the thickness of the frame x is equals to the

4x² + 26x - 3 = 0. So, option(b) is right one.

There is defined that katie wants to hang a painting in a galery. See the above figure. Total area of the painting and frame must be equal to 45 square feet. Let the dimensions of painting be L and W that is length and width.

The width of painting, W = 6 feet

Length of painting, L = 7 feet

The thickness of the frame = x feet.

So, the new length of painting and frame, L' = (6 + 2x ) feet

The new width of painting and frame, W' = (7 + 2x ) feet

We have to determine the quadratic equation for thickness of the frame x. Using the area formula for rectangular, A = length × width

Area of rectangular painting and frame, A'

= new length × new width = L'× W'

= ( 6 + 2x) ( 7 + 2x)

From the scenario, A' = 45 sq. feet

=> ( 6 + 2x) ( 7 + 2x) = 45

=> 42 + 12x + 14x + 4x² = 45

Simplify the above expression,

=> 4x² + 26x = 3

=> 4x² + 26x - 3 = 0

Hence, required quadratic equation is

4x² + 26x - 3 = 0.

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Complete question:

katie wants to hang a painting in a galery. the painting and framemust have an area of 45 square feet. the painting is 6 feet wide by 7 feet long. which quadratic equation can be ued too determine the thickness of the frame x?

a) 4x^2 + 26x + 45 = 0

b) 4x^2 + 26x − 3 = 0

c) x^2 + 13x − 3 = 0

d)x^2 + 13x + 45 = 0

Answer:

22-1/5

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

10+10+10-1+10(-1)+10

=10+10+10-1-10+10

=29

Answer: 29

Step-by-step explanation: Have a blessed day hopefully this helped!

Answer:

V≈523.6in³

d Diameter

Step-by-step explanation:

so its b

Answer: 0.709

Step-by-step explanation:

Answer:

0.7 = Exact

0.709765 = Base Form

Step-by-step explanation:

?

The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

Given,

The intervals = (-7,0) and (-3,5)

Draw the intersection and union of the intervals in the number line

The intersection is an interval that lies within the both intervals (-7,0) and (-3,5)

Intersection of the intervals (-7,0) and (-3,5)  = (-3,0)

The union is the set that consist of all the elements in the first interval and all the elements in the second interval

Union of the intervals (-7,0) and (-3,5) = (-7,5)

Hence, The intersection and the union of the intervals (-7, 0) and (-3, 5) are (-3,0) and (-7,5) respectively

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The solutions are decreasing when y is in the set (1,3).

(A) Equilibrium solutions, also known as constant solutions, fulfill dy/dx=0.

When the right-hand side of the equation is taken into account, we have

dy/dx equals y2(y-1) (y-3). We get the constant solutions y=0, y=1, and y=3 by setting the right side to zero.

(b) Solutions rise when dy/dx exceeds 0. For the set of y values (-,0) (0,1) (3,) see that dy/dx > 0. Therefore, when y in is the set (-,0) (0,1) (3,), solutions are growing.

(c) When dy/dx 0, solutions are decreasing, and dy/dx 0 when 1 y 3. That is, while y is in the set, solutions are decreasing (1,3).

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Answer: 4

Step-by-step explanation:

80-32-12-24=12

12/2.5=4.8

She can buy 4

The table helps the reader understand, ''the high number of refugees forced to relocate".

Given

The table shows Jewish emigration from Germany between 1933 and 1939.

The pressure placed on the Jewish people in Germany was the main factor that forced a high number of refugees to relocate.

The number of Jews in Germany in January 1933, was about 523,000. These Jews decided to leave the country after the Nazi takeover.

Emigration numbers were mostly 37,000 and they went to Belgium, Denmark, France, the Netherlands, and Switzerland, which always demonstrated an openness to receive the Jewish immigrants.

Hence, the table helps the reader understand, ''the high number of refugees forced to relocate".

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Answer:

D

Step-by-step explanation:

Its D. For me this is the first one that comes up when i look it up and the other answer wasnt correct  so i went and did it (also looked up another question) so yeah its d :]

its on the unit test so good luck

Answer:

She is 30

Explanation:

Because if you read it right it says "Emmett is 4 years older than Liam." Also you had a grammar error in it.

A solution to this system of linear equations is (1, -2).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

4x - 2y = 8     ......equation 1.

y = -2     ......equation 2.

Next, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant IV and it is given by the ordered pair (1, -2).

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Answer:

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

\(ax^2+bx+c\)

As

a = 1

so

\(x^2+bx+c\)

For example,

\(x^2+7x+10\)

\(=\left(x^2+2x\right)+\left(5x+10\right)\)

\(=x\left(x+2\right)+5\left(x+2\right)\)

\(\mathrm{Factor\:out\:common\:term\:}x+2\)

\(=\left(x+2\right)\left(x+5\right)\)

Therefore, Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.

Answer:

2,210

Step-by-step explanation:

Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.

We have,

Probability is a measure of how likely an event is to occur.

It is a way of quantifying uncertainty and making predictions based on incomplete information.

For example,

When we toss a fair coin, there are two possible outcomes: heads or tails. Since the coin is fair, each outcome has an equal chance of occurring, so the probability of getting heads is 1/2 or 50%, and the probability of getting tails is also 1/2 or 50%.

Another example of probability is when we roll a six-sided die.

There are six possible outcomes, each of which has an equal chance of occurring.

Therefore, the probability of rolling a specific number, say 4, is 1/6 or approximately 17%.

Thus,

Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.

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