Simplify (62)2 what does it equal

Answer:

37

Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY  I TIRED

So, the maximum value of the function || Bx|| subject to the constraint is e. 9

The function we want to maximize is ||Bx||, where B is the given matrix and x is a vector with \(||x||^2 = 1\). We can rewrite this as:

\(||Bx||^2 = (Bx)^(T) (Bx) = x^{(T)} B^{(T)} B x\)

Since B is a 2x2 matrix, \(B^{(T)}B\) is also a 2x2 matrix:

\(B^{(T)} B = [4 0]\)

[0 9]

Thus, we can write:

\(||Bx||^2 = x^{(T)} B^{(T)} B x = [x1 x2] [4 0; 0 9] [x1; x2] = 4x1^2 + 9x2^2\)

So, we need to maximize the function\(4x1^2 + 9x2^2\) subject to the constraint \(x1^2 + x2^2 = 1.\)

We can use Lagrange multipliers to solve this problem. The Lagrangian function is:

\(L(x1, x2, \lambda) = 4x1^2 + 9x2^2 - \lambda(x1^2 + x2^2 - 1)\)

The partial derivatives are:

∂L/∂x1 = 8x1 - 2λx1 = 0

∂L/∂x2 = 18x2 - 2λx2 = 0

\(\partial L/\partial \lambda = -(x1^2 + x2^2 - 1) = 0\)

From the first two equations, we can see that x1 = 4λ and x2 = 9λ. Substituting these into the third equation, we get:

\(x1^2 + x2^2 = (4\lambda)^2 + (9\lambda)^2 = 1\)

Solving for λ, we get:

λ = ±1/√(97)

We can plug these values of λ into x1 and x2 to get two possible vectors:

x1 = 4λ = ±4/√(97)

x2 = 9λ = ±9/√(97)

We need to find the maximum value of ||Bx||, which is:

||Bx|| = ||[2 0; 0 -3] [x1; x2]|| = ||[2x1; -3x2]|| = 2|x1| + 3|x2|

Plugging in the values of x1 and x2, we get:

||Bx|| = 2|4/√(97)| + 3|9/√(97)| = 38/√(97)

Therefore, the answer is not one of the options given.

However, the closest option is e. 9, which is approximately equal to 38/4.12. So, the closest answer is e. 9.

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The value of \(\lim _{x \rightarrow 2}\) f(x) by Sandwich theorem is 2.

As per the given data the function limits are:

2x − 2 ≤ f(x) ≤ x2 − 2x + 2 for x ≥ 0

Here we have to determine the value of \(\lim _{x \rightarrow 2}\) f(x)

Hence by Sandwich theorem:

The sandwich theorem, also known as the squeeze theorem, asserts that if two functions, g (x) and h (x), are squeezed between one another and their respective limits at a given position are both equal to L, then the limit of f (x) at that point is also equal to L.

We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" \(\frac{sin(x)}{x}\) between two nicer functions and ​using them to find the limit at x = 0.

\(& \lim_{x \rightarrow 2}(2 x-2) \leq\lim_{x \rightarrow 2} f(x) \leq \lim_{x \rightarrow 2}\left(x^2-2 x+2\right) \\\)

\(& \Rightarrow 2 \leq \lim _{x \rightarrow 2} f(x) \leq 2 \\\)

Hence \(\lim _{x \rightarrow 2}\) f(x) = 2

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Answer:

y=-2x+2

Step-by-step explanation:

it has a positive slope

the line should point like this on the graph: picture above

Answer: She payed 16 dollars for them both.

Answer:

$16.00

Step-by-step explanation:

10% of $10.00 is $1.00. 1x6= 6

10+6 = 16

The joint distribution for (X,Y) is given by the table below, and the marginal distributions for X and Y are given by the tables below.

Y P(Y)

0 0

1 0.3686

2 0.0588

To determine the joint distribution for (X,Y), we need to calculate the probability of each possible outcome. There are 4 kings in the deck and 13 diamonds. We can use the formula for calculating probabilities of combinations to find the probabilities of each possible combination of kings and diamonds:

P(X = 0, Y = 0) = 36/52 * 35/51 = 0.5098

P(X = 0, Y = 1) = 36/52 * 16/51 = 0.2353

P(X = 0, Y = 2) = 36/52 * 1/51 = 0.0055

P(X = 1, Y = 0) = 16/52 * 36/51 = 0.2353

P(X = 1, Y = 1) = 16/52 * 15/51 = 0.0588

P(X = 1, Y = 2) = 16/52 * 0 = 0

P(X = 2, Y = 0) = 1/52 * 36/51 = 0.0055

P(X = 2, Y = 1) = 1/52 * 15/51 = 0.0007

P(X = 2, Y = 2) = 1/52 * 0 = 0

Therefore, the joint distribution for (X,Y) is:

To find the marginal distribution for X, we can sum the probabilities for each possible value of X:

P(X = 0) = 0.5098 + 0.2353 + 0.0055 = 0.7506

P(X = 1) = 0.2353 + 0.0588 + 0 = 0.2941

P(X = 2) = 0.0055 + 0.0007 + 0 = 0.0062

Therefore, the marginal distribution for X is:

To find the marginal distribution for Y, we can sum the probabilities for each possible value of Y:

P(Y = 0) = 0.5098 + 0.2353 + 0.0055 = 0.7506

P(Y = 1) = 0.2353 + 0.0588 + 0.0007 = 0.2948

P(Y = 2) = 0.0055 + 0 + 0 = 0.0055

Therefore, the marginal distribution for Y is:

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Answer:

- Mode-The most repetitive number.

- Median:The number in the MIDDLE when they are IN ORDER.

- Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS.

- Range - THE BIGGEST minus the Smallest.

Step-by-step explanation:

;)

Answer:

mean: average of all the numbers, so add all numbers, divide by the amount of numbers you added

median: sort all the numbers from least to greatest, then the middle is the answer, if there are 2 in the middle, both are the answer

mode: the number that appeared most

range: the largest number minus the smallest number

Based on the given statistical hypothesis testing, with a significance level of 0.05, the null hypothesis (p=0.5) is rejected in favor of the alternative hypothesis (p is not equal to 0.5) due to the calculated test statistic and p-value.

bar=x/n = 0.833, x = 10, n = 12, and p0 = 0.5

a. Because the author is testing a statistical hypothesis to see if accuracy has changed, the test has two sides.

H0: p = 0.5

H1: p is not the same as 0.5.

b. test statistic, z = (pbar-p0) / SE

z = (0.833-0.5) / 0.14434 = 2.31

standard error, SE = √(p0(1-p0)/n)

SE = √(0.5(1-0.5) / 12)

= 0.14434

c. P_value = 2*P(Z>|z|)

= 2 * P(Z> 2.31)

= 2*(1 - P(Z 2.31))

= 2*(1 - 0.9896)

= 0.0208 because it is a 2-tailed test.

d. alpha,a = 0.05 Since P_value is less than alpha, H0 should be rejected and accuracy should be changed.

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if it wants to reduce the dollars flowing out of the country, the United States can limit the number of Japanese cars being imported by imposing an Import Quota.

Import Quota:

An import quota is a type of trade restriction that places a physical limit on the amount of goods that can be imported into a country during a specific period of time. Like other trade restrictions, quotas are generally used to the benefit of commodity producers in a given economy (protectionism). The essence of import quotas is to limit the amount of foreign goods that can be brought into a country. Quotas work by allowing only those authorized through a license or government contract to bring in the amount specified in the contract. When the quantity specified in the quota is reached, no more goods can be imported during this period.

There are also quota insurance programs where liability and premiums are distributed proportionately among insurers. For example, three companies have a $1,000,000 fire insurance policy per quota, Company A receives 50% ($500,000), Company B receives 30% ($300,000), and Company C receives 20% ($200,000). If the annual bonus is $5,000, Company A will receive $2,500, Company B will receive $1,500 and Company C will receive $1,000. Company A pays 50%, company B 30% and company C 20% for each claim.

Complete Question:

To reduce dollars flowing out of the country, the United States can take measures to limit the number of foreign cars imported from Japan by imposing a(n).

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The required answer is e function approaches 0; and as x approaches negative infinity.

To analyze the end behavior of the decay function d(x) = 850(0.94)^x, we need to examine the function as x approaches positive and negative infinity.

1. As x approaches positive infinity (x -> ∞), the function d(x) = 850(0.94)^x will approach 0. This is because 0.94 is less than 1, so raising it to an increasingly large exponent will make the value of the function smaller and closer to 0.
End behavior as x -> ∞: d(x) -> 0.
hen raised to increasingly larger powers (corresponding to larger and larger x-values), the resulting product becomes smaller and smaller, approaching zero
2. As x approaches negative infinity (x -> -∞), the function d(x) = 850(0.94)^x will increase without bound. This is because when raising a number between 0 and 1 (like 0.94) to an increasingly large negative exponent, the value of the function will become larger.

End behavior as x -> -∞: d(x) -> ∞.
So, the end behavior of the decay function d(x) = 850(0.94)^x is: as x approaches positive infinity, the function approaches 0; and as x approaches negative infinity, the function increases without bound.

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Answer: It gets smaller

Step-by-step explanation: When you divide something by anything, the place value of the digits decreases. The digits move to the right since the number gets smaller, but remember, the decimal point does not move.

Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer: B 12/5

Step-by-step explanation:

Since tanθ is opposite over adjacent which is 5/12. cotθ is the reciprocal of tanθ which is just 12/5.

Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

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It represents the average amount of change in the function per unit throughout that time period.

Divide the change in y-values by the change in x-values to calculate the average rate of change. When analyzing changes in measurable parameters like average speed or average velocity, finding the average rate of change is quite helpful.

The formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate-of-change problems in general.

It represents the average amount of change in the function per unit throughout that time period. It is generated from the slope of the straight line joining the interval's ends on the graph of the function.

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Answer:

The profit/percent increase is $5.70

Step-by-step explanation:

If you bought the umbrella for $6.00 and sold the umbrella for $11.70 there is a $5.70 profit/percent increase because if you want to calculate a profit, then you have to subtract the number you sold the item for by how much you spent on the item, so $11.70 - $6.00 is $5.70.

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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True. The values that can be entered into a field are determined by the data type of the field.

The data type specifies what type of data can be stored in the field, such as text, numbers, dates, or boolean values. This helps ensure data consistency and accuracy within the field.
Field values that may be entered into a field are determined by the data type of the field. The data type defines the kind of values that can be stored in that specific field, ensuring that the information entered is consistent and accurate.

Data are collected by techniques such as measurement, observation, interrogation or analysis and are often represented as numbers or symbols that can be further processed. Data fields are data stored in unmanaged fields. Test data is data created during the execution of the test. Data analysis uses techniques such as computation, reasoning, discussion, presentation, visualization, or other post-mortem analysis. Before analysis, raw data (or raw data) is usually cleaned: outliers are removed and obvious devices or incorrect input data are corrected.

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Answer: $64

Step-by-step explanation:

P=2l+2w

= 2(4) + 2(4)

= 16 ft

16 ft * $4/ft = $64

Answer:

\(-15\)

Step-by-step explanation:

\(11-(-2)\\11+2\\13\)

Line KL has a range of 13.

Line JK has the same range covered as line KL.

\(-2-13\)

\(-15\)

J is located at -15.

Answer:

V=103.

Step-by-step explanation:

V=πr2h

=π·2.82

·4.2≈103

.44636

Answer:

Step-by-step explanation:

the correct answer is 10.39 cubic feet

Answer:

option D is the correct answer of this question .....

Step-by-step explanation:

(c+8 )×(c-5) = c²-5c+8c -40

= c²+3c - 40

plz mark my answer as brainlist plzzzz vote me also

P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], using the relationship between failure rate functions, survival functions.

To show that P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], where ri(t) is the failure rate function of Xi, we can use conditional probability and the relationship between the failure rate function and the survival function.

Let's start by defining some terms:

S1(t) and S2(t) are the survival functions of X1 and X2, respectively, given by S1(t) = P(X1 > t) and S2(t) = P(X2 > t).

F1(t) and F2(t) are the cumulative distribution functions (CDFs) of X1 and X2, respectively, given by F1(t) = P(X1 ≤ t) and F2(t) = P(X2 ≤ t).

f1(t) and f2(t) are the probability density functions (PDFs) of X1 and X2, respectively.

Using conditional probability, we have:

P{X1 < X2 | min(X1, X2) = t} = P{X1 < X2, min(X1, X2) = t} / P{min(X1, X2) = t}

Now, let's consider the numerator:

P{X1 < X2, min(X1, X2) = t} = P{X1 < X2, X1 = t} + P{X1 < X2, X2 = t}

Since X1 and X2 are independent, we have:

P{X1 < X2, X1 = t} = P{X1 = t} P{X1 < X2 | X1 = t} = f1(t) S2(t)

Similarly, we can obtain:

P{X1 < X2, X2 = t} = P{X2 = t} P{X1 < X2 | X2 = t} = f2(t) S1(t)

Therefore, the numerator becomes:

P{X1 < X2, min(X1, X2) = t} = f1(t) S2(t) + f2(t) S1(t)

Now, let's consider the denominator:

P{min(X1, X2) = t} = P{X1 = t, X2 > t} + P{X2 = t, X1 > t} = f1(t) S2(t) + f2(t) S1(t)

Substituting the numerator and denominator back into the original expression, we get:

P{X1 < X2 | min(X1, X2) = t} = (f1(t) S2(t) + f2(t) S1(t)) / (f1(t) S2(t) + f2(t) S1(t))

Using the relationship between survival functions and failure rate functions (ri(t) = -d log(Si(t))/dt), we can rewrite the expression as:

P{X1 < X2 | min(X1, X2) = t} = (r1(t) S1(t) S2(t) + r2(t) S1(t) S2(t)) / (r1(t) S2(t) S1(t) + r2(t) S1(t) S2(t))

= r1(t) / (r1(t) + r2(t))

Thus, we have shown that P{X1 < X2 | min(X1, X2) = t} = r1(t) / [r1(t) + r2(t)], using the relationship between failure rate functions, survival functions

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Answer:

Question 858558: a buisness had $10,000 profit in 2000. then the profit increased by 8% each year for the next 10 years. write a function that models the profit in dollars over time Answer by josmiceli(19441) (Show Source):

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Answer:

9 inches

Step-by-step explanation:

Given that,

For the graph, 1/2 inch represents 20 miles.

We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.

1/2 inch = 20 miles

1 mile = \(\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}\)

For 360 miles, = 0.025 × 360

= 9 inches

Hence, the required answer is 9 inches.

There are 118 adult tickets sold

This is because 354/3 =118

and 118+118=236

236 are the child tickets

therefore 118 are the adult tickets.

Hope this helped!

The total number of adult ticket sold is 118 tickets.

Let's write "x" to represent how many adult tickets were sold.

The information provided indicates that there were twice as many student tickets sold as adult tickets. The quantity of student tickets sold can therefore be stated as 2x.

There were 354 total tickets sold, which includes both student and adult tickets.

We may construct an equation based on the total number of tickets to resolve this issue:

x + 2x = 354

Combining comparable variables

3x = 354

x = 354 / 3

x = 118

118 adult tickets were consequently sold.

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Answer: To find the value of the car after 8 years, we can use the given information to create a linear equation in the form:

y - y1 = m(x - x1)

Where:

y is the value of the car after 8 years (what we want to find)

y1 is the value of the car after a given time (either 3 or 5 years)

x is the given time (either 3 or 5 years)

x1 is the starting time (when the car was purchased)

m is the rate of decrease (slope of the line)

We can use the two given data points to find the slope of the line:

m = (y2 - y1) / (x2 - x1)

m = (11,000 - 15,000) / (5 - 3)

m = -2,000 per year

Now, we can use one of the data points to solve for the y-intercept of the line:

y - y1 = m(x - x1)

y - 15,000 = (-2,000)(3 - x1)

y - 15,000 = (-2,000)(3 - x1)

y - 15,000 = (-6,000 + 2,000x1)

y = 2,000x1 - 6,000 + 15,000

y = 2,000x1 + 9,000

So the linear equation that represents the value of the car after x years is:

y - 15,000 = (-2,000)(x - 3)

Simplifying this equation gives:

y - 15,000 = -2,000x + 6,000

Now, we can use x = 8 to find the value of y:

y - 15,000 = -2,000(8) + 6,000

y - 15,000 = -2,000

y = $13,000

Therefore, the value of the car after 8 years will be $13,000.

So the completed expression is:

y - 15,000 = -2,000(x - 3)

The value of the car after 8 years will be $13,000.

Step-by-step explanation: