Answer:
12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Given
(4\(\sqrt{3}\) + 2\(\sqrt{2}\) )(3\(\sqrt{2}\) + 2\(\sqrt{5}\) )
Each term in the second factor is multiplied by each term in the first factor, that is
4\(\sqrt{3}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) + 2\(\sqrt{2}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) ← distribute both parenthesis
= 12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)
Find d such that detA=0, where A= ⎝
⎛
5
0
4
2
d
0
1
−1
1
⎠
⎞
The value of d that makes the determinant of A equal to 0 is d = -2.
To find the value of d that makes the determinant of A equal to 0, we need to solve the equation det(A) = 0.
Let's expand the determinant of A using the first row:
det(A) = 5(0(d) - 0(1)) - 0(4(-2) - 0(1)) + 4(2(1) - 0(1))
= 5(0) - 0(0) + 4(2)
= 0 + 8
= 8
Since we want the determinant to be 0, we have the equation 8 = 0. This equation has no solution.
However, we can also observe that when d = -2, the second row of the matrix becomes a multiple of the first row:
2(-2) + (-1)(1) + 1(1) = -4 - 1 + 1 = -4 - 1 + 1 = -4 = 0
This indicates that the rows of the matrix are linearly dependent, resulting in a determinant of 0.
Therefore, the value of d that makes the determinant of A equal to 0 is d = -2.
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Triangle ABC is labeled with points A(5, 2), B(1, 2) and C(3, 6) on a coordinate plane. Find the coordinates of A' B' C' after a reflection over the x-axis.
Answer:
After reflection over the x-axis, we have the coordinates as follows;
A’ (5,-2)
B’ ( 1,-2)
C’ (3,-6)
Step-by-step explanation:
Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis
By reflecting over the x-axis, the y-coordinate is bound to change in sign
So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)
We simply go on to negate the value of the y-coordinate
Mathematically if we apply these to the given points, what we get are the following;
A’ (5,-2)
B’ ( 1,-2)
C’ (3,-6)
ANSWER FOR BRAINLIEST:
Mark all of the following that are measures of Central Tendency.
Mean
Range
Mode
Median
Mean Absolute Deviation
Outlier
Step-by-step explanation:
I think mode,range and median dpo ako sure
An artist used 666 tubes of red paint, 222 tubes of yellow paint, 131313 tubes of white paint, and 999 tubes of blue paint for a mural.
Answer:
The Mona Lisa
Step-by-step explanation:
Da Vinci?
The side lengths of a triangle can be modeled by the following expressions.
Side a: 3x - 1
Side b: x + 9
Side c: 12x -4
If the perimeter of the triangle is 52 inches, what is the value of x?
Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.
The point (5, 10) has not been translated in the given figure.Hence this statement is false.
The graph shows five points.
A point has been translated right and up.
Now, the statements that are true based on the graph are as follows:
The point (9, D) has been translated right and up.Answer: False
There is no information given about point (9, D).
So, we cannot say anything about the translation of point (9, D).
The point (1, 8) has been translated right and up.Answer: True
As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.
The point (2, 9) has been translated right and up.Answer: False
The point (2, 9) has not been translated in the given figure.
So, this statement is false.
Statement 4: The point (8, B) has been translated right and up.Answer: True
The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.
The point (5, 10) has been translated right and up.Answer: False
The point (5, 10) has not been translated in the given figure.
So, this statement is false.
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33 percent of 300
And 24 percent of 300 PLSS
the first one is 99 and the second one is 72
Hope this helped
Answer:
33% of 300 is about 99, and 24% of 300 is about 72
Step-by-step explanation:
Hope this helps.
find angle DEY
find angle DEF
will give brainliest
Answer:
Strictly speaking, there is not enough information to solve the problem.
If we assume m<EFY = 90, then:
m<DEY = 29
m<DEF = 58
Step-by-step explanation:
Going by the exact information shown, the answer is really that there isn't enough information to answer the question.
On the other hand, if angle EFY is a right angle, then we have two right triangles that can be proved congruent by HL. Then by CPCTC, angles DEY and FEY are congruent. We set their measures equal and solve for y.
4y - 7 = 2y + 11
2y = 18
y = 9
m<DEY = 4y - 7 = 4(9) - 7 = 36 - 7 = 29
m<DEF = 2m<DEY = 2(29) = 58
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
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Solve the formula for the volume V = πr 2 h for h.
Answer:
The answer is 5 because it is what it is.
Step-by-step explanation:
PLEASE HELP THANKS :)
Q2.) Twice a number plus four times another is 42. The sum of the numbers is 18. What is the larger number?
3
10
15
8
Solve for x.
Your answer must be simplified.
solve for x
5 - 2x^2 = -15
Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answer:
25
Step-by-step explanation:
Please help!! I don't get it!
Answer:
64 times 7.5 and you will get your answer
Step-by-step explanation:
16*4=64
64*7.5=x
x is what you need to find
There is a leak in a container that holds a certain nontoxic gas. Each hour, it loses 10% of its volume.
Write an equation that models the amount of gas left in the container after x hours, assuming there were 300 cubic centimeters in the container before the leak. Then use your equation to determine the amount of gas left in the container after 11 hours. Round your answer to the nearest tenth.
Answer:
94.1 cm^3 to nearest tenth.
Step-by-step explanation:
Each hour 100 - 10 = 90% of the gas remains.
90% = 0.90.
At 0 hours the volume = 300 cm^3
The equation is
Amount (V) after x hours = 300(0.90)^x.
The amount after 11 hours:
V = 300(0.90)^11
= 94.14
Answer:
y = 300(0.9)^x
94.1 cm³
Step-by-step explanation:
This is an exponential decay.
y = 300(0.9)^x
where x is the number of hours, and y is the amount after x hours.
y = 300(0.9)^11
y = 94.1
Which of the following best describes the use of the formula S = (n-2)180°,
where n is the number of sides?
Answer:
C. It is used to find the sum of interior angles
Also , it can be used to find the number of triangles in the polygon,
Step-by-step explanation:
Example :
Find the sum of interior angles whose no of sides is 6 and give the name of the polygon
Solution
S = (n-2)180°
S = (6-2)180°
S = (4)180°
S = 720°
The polygon is a Hexagon
I hope it helps :)
S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The sum of the interior angle of the polygon is given as,
S = (n – 1)180°
Where, n be the number of the sides.
Then the correct option is A.
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An office building casts a shadow 107 ft long and at the same time a 7.0 ft post casts a shadow 6.0 ft long. What is the height of the building?
The height of the office building casting a shadow of 107ft is approximately 124.83 ft.
What is the height of the building?A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
Given the data in the question;
Shadow of building = 107 ftHeight of post = 7.0 ftShadow of post = 6 ftHeight of building = xRatio of height of office building and its height = x / 107
Ratio of height of post and its height = 7 / 6
Equate the two to get the height of the office building.
x / 107 = 7 / 6
Solve for x
x × 6 = 7 × 107
6x = 749
x = 746 / 6
x = 124.83 ft
Therefore, the height of the building is 124.83 ft.
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Determine whether the lines are parallel, perpendicular, or neither
X+7y = -3 and y= 7x + 25
Answer:
perpendicular
Step-by-step explanation:
7y = -x - 3
y = -1/7 x - 3/7
-1/7 is the reciprocal of the opposite, so the lines are perpendicular
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT
Answer:
12?
Step-by-step explanation:
Answer:The Answer is 10!!!
Step-by-step explanation:
If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.
you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.
You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100. Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.
the force, F newtons (N) between two particles is inversely proportional to the square of the distance, d m, between them. When the particles are 2m apart,
the force between them is 10 N. Find
1- the force between the particles when they are 5m apart,
2- the distance between the particles when the force between them is 25 N.
The force is 1.6N and the distance between them is 1.3 meters
The force between themAn inverse variation from force to the square of distance is represented s:
k = Fd^2
Where k represents the variation constant
When F = 10, d = 2.
So, we have:
k = 10 * 2^2
k = 40
Substitute k = 40 in k = Fd^2
Fd^2 = 40
When d = 5, we have:
F * 5^2 = 40
This gives
25F = 40
Divide by 25
F = 1.6
Hence, the force is 1.6N
The distance between themIn (a), we have:
Fd^2 = 40
When F = 25, we have:
25 * d^2 = 40
This gives
25d^2 = 40
Divide by 25
d^2 = 1.6
Take the square root of both sides
d = 1.3
Hence, the distance between them is 1.3 meters
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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Ae^kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
a. Suppose A = 40, and at 5 days, the cells are growing at a rate of 120 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
b. Use your answer from part a to find the number of cells present after 11 days.
The formula for the number of cells after t days, given that 200 cells are present at t = 0 is \(N(t) = 40(3^t - 1) + 200\;ln(3)\), whereas the number of cells present after 11 days is approximately 7,085,864.
The given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, where A is the rate of increase at time 0 and k is a constant. The solution to this differential equation is \(N(t) = (A/k) \times e^{kt} + C,\) where C is an arbitrary constant that can be determined from an initial condition.
a. Using the given information, A = 40 and N'(5) = 120. Substituting these values into the equation \(N'(t) = Ae^{kt}\), we get:
\(120 = 40e^{(5k)}\)
Solving for k, we have:
k = ln(3)
Substituting A = 40 and k = ln(3) into the equation for N(t), and using the initial condition N(0) = 200, we get:
\(N(t) = (40/ln(3)) \times e^{(ln(3)t)} + 200\)
Simplifying this expression, we obtain:
\(N(t) = 40(3^t - 1) + 200ln(3)\)
b. To find the number of cells present after 11 days, we substitute t = 11 into the expression for N(t) that we obtained in part a:
\(N(11) = 40(3^{11} - 1) + 200ln(3)\)
Simplifying this expression, we get:
\(N(11) = 40(177146) + 200ln(3) \approx 7,085,864\)
Therefore, the number of cells present after 11 days is approximately 7,085,864.
In summary, the given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, and the solution to this equation is \(N(t) = (A/k) \times e^{kt} + C,\) where C is an arbitrary constant that can be determined from an initial condition.
We used this equation to find a formula for the number of cells after t days, given A, k, and an initial condition, and used it to find the number of cells present after 11 days.
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Find \( U \) unitary and \( T \) upper triangular such that \( U^{*} A U=T \) for \[ A=\left[\begin{array}{ccc} -2 & 1 & -1 \\ 1 & -1 & -2 \\ 0 & 1 & -3 \end{array}\right] \]
The unitary matrix U is
\(\[ U = \begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\]\)
and the upper triangular matrix T is
\(\[ T = \begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\].\)
To find a unitary matrix U and an upper triangular matrix T such that
\(\(U^*AU = T\)\) for the given matrix A, follow these steps:
Step 1: Find the eigenvalues of A.
The eigenvalues of matrix A are obtained by evaluating the characteristic polynomial \(\(\det(A - \lambda I)\):\((\lambda + 1)^2(\lambda - 3)\)\)
The eigenvalues of A are \(\(\lambda_1 = -1\) (with multiplicity 2) and \(\lambda_2 = 3\).\)
Step 2: Find the eigenvectors corresponding to each eigenvalue of A.
For \(\(\lambda_1 = -1\)\), the eigenvectors are obtained by solving the system \(\((A + I)x = 0\)\). The solutions are:
\(\((1, 1, 0)\) and \((-1, -1, 0)\)\)
For\(\(\lambda_2 = 3\)\), the eigenvector is obtained by solving the system \(\((A - 3I)x = 0\).\) The solution is: \(\((1, 1, 1)\)\)
Step 3: Normalize the eigenvectors to obtain orthonormal eigenvectors.
Normalize the eigenvectors obtained in Step 2 to obtain orthonormal eigenvectors.
For \(\(\lambda_1 = -1\),\) the orthonormal eigenvectors are:
\(\(v_1 = \left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0\)\) )\)and \(\(v_2 = \left(-\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}, 0\)\))\)
For \(\(\lambda_2 = 3\)\), the orthonormal eigenvector is:
\(\(v_3 = \left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\)\))\)
Step 4: Combine the orthonormal eigenvectors to form a unitary matrix U.
For a 3x3 matrix, there are 3 orthonormal eigenvectors for A. Combine them to form a unitary matrix U as follows:
\(\(U = [v_1 v_2 v_3] = \begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\)\)
Step 5: Obtain the upper triangular matrix T.
The upper triangular matrix T is obtained as\(\(T = U^*AU\)\). Compute the product:
\(\(T = U^*AU = \begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\)\)
Therefore, the unitary matrix U is \(\(\begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\),\) and the upper triangular matrix T is \(\(\begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\).\)
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A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has been dyed blue, and the students are to carefully place the ice cube in a container of room temperature water Which is the appropriate question to ask prior to the experiment?
Answer:
figure b
Step-by-step explanation:
cuz yez
Find the circumference of the pizza. Round your answer to the nearest hundredth.
Answer:
40.84 inches
Step-by-step explanation:
C=πd
C=π(13)
C=13π
C=40.84
So the pizza has a circumference of about 40.84 inches.
help me pls this is a question on a thing pls help
The required value of the expression at x = 4 and y = 2 is -23.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
5(y + 3) - 3x²
In order to find the value of the given expression at x = 4 and y = 2, substitute the corresponding values in the expression to get,
5(y + 3) - 3x²
= 5(2 + 3) - 3 × 4²
= 5 × 5 - 3 × 16
= 25 - 48
= -23
Hence, the given expression can be evaluated as -23.
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What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
If a given set of data has a variance of 64.58 and a sample size of 26, the the standard deviation is equivalent to
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So stand deviation = √{64.58 / (26-1)}
standard deviation =0.32144673
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the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Standard deviation = √ {(xi – x)^2 / (n-1)}
here (xi – x)^ 2 means variance and n is sample size .
so we can say
Standard deviation = √{ (variance / sample size – 1 )}
here variance is 64.58 and sample size is 26 is given.
So standard deviation = √{64.58 / (26-1)}
standard deviation = 0.32144673
Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.
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Last week Shawna ran 25 miles less than
Elisa. Shawna ran 9 miles. How many
miles did Elisa run?
2b
Answer:
34 miles
Step-by-step explanation:
You just need to add her 9 then the extra 25 miles to find the starting set of miles
Answer:
Elisa ran 34 miles
Step-by-step explanation:
Shawna ran 9 miles which is 25 less than Elisa
Elisa ran 25 miles more than Shawna
equation:
9 = x - 25
add 25 on both sides:
9 + 25 = x - 25 + 25
34 = x
Elisa ran 34 miles