Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).

The maximum value of y is when sin is -2pi/3 : y(x)  = √(3)/2

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

We need to find the maximum value of y.

Given:

y'' + y = -sin(2x)

First, consider the left side equation:

y'' + y = 0

Write using λ

=>λ²+ 1 = 0

=> λ² = -1

=> λ = ± i

The Characteristic solution is given by

A sin(x) + B cos(x)

Finding non-homogeneous solution:

given :

y'' + y = -sin2x

The whole  solution to this non homogeneous solution is given by

y = Csin2x + Dcos2x

Differentiate

y' = 2Ccos2x - 2Dsin2x

Differentiate

y'' = -4Csin2x - 4Dcos2x

Substitute these into the differential equation:

y'' + y = -sin2x

=> (-4Csin2x - 4Dcos2x) + Csin2x + Dcos2x = -sin2x

we have a -sin2x term on the right side

=> sin(2x) [ -4C+ C] = -1  

we have no cosine terms on the right side

=> cos(2x) [-4D + D] = 0

D = 0

=> C = 1/3

So, we have

y(x) = 1/3(sin(2x)) + Asin(x) + Bcos(x)

Use the  initial conditions given in the solution to solve for A and B

=> y(0) = 0 = 0 + 0 + Bcos(0)

=> B = 0

y'(0) = 0 = 2/3cos(0) + A cos(0) + 0

=> 0 = 2/3 + A

=>A = -2/3

The final solution is given by

y(x) = 1/3(sin(2x)) - 2/3sin(x)

Maximum value of y is when sin is -2pi/3 : y(x)  = √(3)/2

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Answer:

CBE = 112.5 degrees

Area = Length X width

Let the width (breadth) = X

The length is double so it is 2x

Area = X * 2x = 2x^2

128 = 2x^2

Divide both sides by 2:

64 = x^2

take the square root of both sides:

x = 8

The breadth = 8 meters

The length = 16 meters

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

\(i\sqrt4 ~ \text{and} ~ 2i\)

Step-by-step explanation:

\(\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i\)

Answer:

(x^2 - 2x)^2 - 11(x^2 - 2x) + 24 = 0

(x^2 - 2x - 3)(x^2 - 2x - 8) = 0

x^2 - 2x - 3 = 0 or x^2 - 2x - 8 = 0

(x + 1)(x - 3) = 0 or (x + 2)(x - 4) = 0

x = -2, -1, 3, 4

Answer:

the answer is A 4140

Step-by-step explanation:

multiply 12,000 ans 6.9 as a decimal so it would be 12,000*0.69 then you multiply your answer 8280 with the time which is 5 and you get your answer i think not sure

The solution set of inequality is x < 6.

And, The graph of the solution set is shown in figure.

Here,

The written expression is given as,

''Eight less than the product of -3 and a number is greater than -26.''

We have to solve an inequality and find the graph of solution set.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Now,

The condition is given as;

Eight less than the product of -3 and a number is greater than -26.

Let a number is x.

Then, The inequality is written as,

-3x - 8 > -26

Solve the inequality as;

-3x - 8 > -26

Add 8 both sides, we get;

- 3x - 8 + 8 > -26 + 8

- 3x > -18

Divide both side by 3,

-x > -6

After multiply with negative sign, we get;

x < 6

Hence, The solution set of inequality is x < 6.

And, The graph of the solution set is shown in figure.

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Answer:

∠1 = 90° because the figure is a kite and the diagonals form 90° angles

∠2 = 90° - 27° = 63°

∠3 = ∠2 = 63°

Answer:

m<1 = 90 degrees

m<2 = 63 degrees

m<3 = 63 degrees

Step-by-step explanation: Angle 1 is a right angle, which is equal to 90 degrees. To find angle 2, you must know that a triangle's angles all add up to 180 degrees. You must realize that the angle below the 2 is 90 degrees since it is supplementary to angle 1. Now, you have to add the given angle of 27 degrees to 90 degrees and then subtract that sum from 180 degrees to get an answer of 63 degrees (27+90=117 --> 180-117=63). Angles 2 and 3 have the same value because they are basically symetrical to one another since both of their triangle's side lengths are equivalent.

Answer:

255b

Step-by-step explanation:

subtract 256b by b

Answer:

^set chapters^

my amwer lies in paper

The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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Answer:

Choice A

Step-by-step explanation:

First, let's simplify the equation. We get \(\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }\) . Then, we can simplify. We now have \(\frac{3^{-3}m^{5} }{6n}\) . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get \(\frac{m^{2} }{6nx3^{3} }\). Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have \(\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}\)

Answer:

m^5/ 162 n

Step-by-step explanation:

( 3 m^-2 n) ^-3 / (6mn^-2)

We know a^ -b = 1/ a^b

1 / ( 3 m^-2 n) ^3 *(6mn^-2)

Distribute the power of 3

1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)

We know a^ b^ c = a^ ( b*c)

1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)

1 / ( 27 m^( -6) n^3) * ( 6m n^-2)

We know a^b * a^c = a^ ( b+c)

1 / ( 27*6 m^( -6+1) n^(3-2))

1/ (162 m^ -5 n^1)

We know a^ -b = 1/ a^b

m^5/ 162 n

The value of x which ensures that Juan and Maria listened to the same number of songs is 2.

We have number of songs listened by Juan on Friday as 5x - 4 and number of songs that Maria listened on Saturday is 12-3x.

We have to determine for the value of x for which Juan and Maria listened to the same number of songs.

Equate f(x) with g(x) -

f(x) = g(x)

2x - 4 = x + 2

2x - x = 2 + 4

x = 6

According to question, we have -

Number of songs listened by Juan on Friday = 5x - 4.

Number of songs that Maria listened on Saturday = 12 - 3x.

If Juan and Maria listened to the same number of songs then -

5x - 4 = 12 - 3x

5x + 3x = 12 + 4

8x = 16

x = 2

Hence, the value of x which ensures that Juan and Maria listened to the same number of songs is 2.

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Answer:

\(pr(x=6)=\frac{17}{28}\)

Step-by-step explanation:

Well the probabilities should all up to 1. This means pr(x<6) + pr(x=6) + pr(x>6) = 1.

So plugging in the known values we get: \(\frac{1}{7} + pr(x=6) + \frac{1}{4}=1\)

To make things easier, let's multiply the 1/7 by 4/4 and 1/4 by 7/7

\(\frac{4}{28}+pr(x=6)+\frac{7}{28}=1\)

Now combine like terms: \(pr(x=6)+\frac{11}{28}=1\)

Subtract 11/28 from both sides

\(pr(x=6)=\frac{17}{28}\)

7^(3/5) * 7^(1/5) is equivalent to (7^3)^(1/5) * (7^1)^(1/5), which is equivalent to 343^(1/5) * 7^(1/5) = 343^(1/5) * (7^(1/5))^1 = 343^(1/5) * 7.

When you see an expression like 7^(3/5) * 7^(1/5), it is helpful to think about the properties of exponents. One property is that when you have the same base raised to different exponents, you can multiply the exponents. So, for example, 7^3 * 7^1 = 7^(3+1) = 7^4.

Another property is that when you have a base raised to a power, and then that result is raised to another power, you can multiply the exponents. So, for example, (7^3)^2 = 7^(3*2) = 7^6.

Using these properties, we can simplify the original expression as follows:
7^(3/5) * 7^(1/5) = (7^3)^(1/5) * (7^1)^(1/5) = 343^(1/5) * 7^(1/5) = 343^(1/5) * (7^(1/5))^1 = 343^(1/5) * 7

So, 7^(3/5) * 7^(1/5) is equivalent to 343^(1/5) * 7

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Answer:

250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.

Step-by-step explanation:

A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?

Answer:

yellow

Step-by-step explanation:

this is how I solved it....

have a great day!

The LCM of the two polynomials is (x + 7).

To determine the least common multiple (LCM) of the given polynomials x² + 14x + 49 and x^² + 13x + 42, we need to factorize both polynomials completely.

The first polynomial, x² + 14x + 49, can be factored as (x + 7)(x + 7) or (x + 7)².

The second polynomial, x² + 13x + 42, can be factored as (x + 6)(x + 7).

To find the LCM, we need to identify the common factors and the highest power of each factor. In this case, both polynomials have a common factor of (x + 7), and the highest power of (x + 7) is (x + 7)^2.

Therefore, the LCM of the given polynomials is (x + 7)^2.

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If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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Therefore , the solution is first angle = 63° and second angle = 27° for

complementary angle problem.

A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The slopes of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplemental angle involves two angles joined to create a 180 degree angle.

Here,

Given :

Let us consider first angle be x

and second angle is less than 36°

=>  x - 36°

So , there are complementary angle there sum will be equal to 90°

=> x + x - 36°  = 90°

=>  2x =  90° + 36°

=> x = 126°/2

=> x =63°

First angle = 63°

and second angle = 63° - 36° = 27°

Therefore , the solution is first angle = 63° and second angle = 27° for

complementary angle  problem.

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The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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The best predicted value of y for x = 9.9 is y = 83.42.

Linear equations with two variables are equations with one, zero, or infinitely numerous solutions where every of a two variables has the highest exponential order of 1.

Some key features regarding linear equation if two variables are-

Now, according to the question;

The given equation is;

y = 55.8 + 2.79x

Calculate the value of y by substituting the value of  x = 9.9.

y = 55.8 + 2.79×9.9

y = 83.42

Therefore, the best predicted value of y for x = 9.9 is 83.42.

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The correct question is-

Eight pairs of data yield r = 0.708 and the regression equation y = 55.8 + 2.79x. Also, the mean y-value is 71.125. What is the best predicted value of y for x = 9.9?

Answer:

\(|x-93|=1.6\)

Step-by-step explanation:

Let x be the Maximum and Minimum Sun Earth distance

The average distance between Earth and Sun is 93 million miles.

The distance varies by 1.6 million miles.

The equation to find the maximum and minimum value will be

\(|x-93|=1.6\)

When modulus function is used one value of the function will be positive and the other will be negative.

\(x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6\)

\(-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4\)

So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.

Answer:

64

Step-by-step explanation:

x + 5(x + 2)​

Distribute

x + 5x+10

Combine like terms

6x+10

Let x = 9

6(9) +10

54+10

64

Answer:-10/13

Step-by-step explanation:

Answer:

Paulie

Step-by-step explanation:

1.43 +

5.70

___

7.13 > 7.09  

:D

The third column of ab is {0,0,0}.

If we have a matrix "a" and multiply it with the "b" matrix, which {0,0,0} in the third column, the resulting matrix ab will also have {0,0,0} in the third column. When we multiply two matrices, we take the "i" row elements from the first matrix and the "j" column element from another and then multiply and add all these row and column elements to get the "ij" element of the resultant matrix.

So, in this case, when we take the row element from the "a" matrix and the column element from the "b" matrix, regardless of any term in the row element when multiplied with the 0 elements of the column will result in 0 and hence the resultant matrix will have {0,0,0} as 3rd column.

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