if x = 3+2 root 2 then find x- 1/x​

Answer:

5 1/2 + 3/4

11/2 + 3/4

22+3/4

25/4

=6 1/4

The combination of \(A_2\) and \(B_2\) results in  \(A_2\)  \(B_2\) , where   \(A_2\)  is the product of   \(A_2\)  and  \(B_2\) , and  \(B_2\)  is the product of  \(B_2\)  and   \(A_2\) . The dot product of both vectors A and B yields a result of 4738 for the product of   \(A_2\)  and  \(B_2\) .

A vector is a mathematical construct with a length and a direction. It is frequently used to symbolise tangible properties like force, velocity, and acceleration. There are numerous techniques to multiply, add, and manipulate vectors. The characteristics and interactions of vectors in higher dimensions are described using vector calculus.

\(A_2B_2=A_2.B_2\\\\A_2=A.A\\\\A.A=[1.1+2.2+5.5+4.4]\)

=1+4+25+16

=46

\(B_2=B.B\\\\B_2=B.B\\\\B.B=[-1.-1+1.1+1.1+10.10]\)

=1+1+1+100

=103

\(A_2B_2=46.103\\\\A_2B_2=4738\)

Therefore, \(A_2B_2=4738\)

The combination of \(A_2\) and \(B_2\) results in  \(A_2\)  \(B_2\) , where   \(A_2\)  is the product of   \(A_2\)  and  \(B_2\) , and  \(B_2\)  is the product of  \(B_2\)  and   \(A_2\) . The dot product of both vectors A and B yields a result of 4738 for the product of   \(A_2\)  and  \(B_2\) .

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Answer:

Coordinates of center: (0, 5)

Radius of circle: 3

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The percentage of data items that lie below the z-score of 3 is 99.87%.

In a normal distribution, the z-score represents the number of standard deviations a particular data point is away from the mean. The table provided gives the percentiles corresponding to different z-scores.

To find the percentage of data items that lie below a z-score of 3, we can look up the corresponding percentile in the table. In this case, the percentile for a z-score of 3 is given as 99.87%.

This means that approximately 99.87% of the data items in a normal distribution are below a z-score of 3.

Similarly, to find the percentage of data items that lie above a z-score of 3, we can subtract the percentage below the z-score from 100%. In this case, it would be 100% - 99.87% = 0.13%.

This means that approximately 0.13% of the data items in a normal distribution are above a z-score of 3.

Thus, these percentages indicate the relative position of the data points within the distribution. It provides a measure of how extreme or rare a particular value is in comparison to the rest of the distribution.

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I can try to help, is there a problem or picture?

The answer choice which represents a proportional relationship as required to be identified in the task content is; y = 1/2x.

It follows from the task content that the equation which represents a proportional relationship be identified.

On this note, it follows from observation that the equation; y = 1/2x represents a proportional relationship, more specifically the variables are inversely proportional and hence, we may conclude that the other equations are not entirely proportional.

This follows from the fact that the other equations are partly constant and partly varying.

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Answer:

The answer is y=3x i just took the test

Step-by-step explanation:

Answer:

The total weight of the file was 64 mb.

Step-by-step explanation:

Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:

100 - 40 = 60

60% = 40 seconds

40 mb = 16 seconds left

16/40 = 4/10

60/40 = 1.5

1.5% for every 1 second of download.

16 x 1.5 = 24

40 + 24 = 64

Thus, the total weight of the file was 64 mb.

if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25.

The concept of "1" in mathematics typically represents a whole unit or a single entity. However, your question about how many parts "1" equals to requires clarification. If you are referring to dividing a whole into parts, then "1" can be divided into any number of parts, as long as each part is equal.

For instance, if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25, and so on. In this context, "1" can be divided into an infinite number of parts, depending on the desired level of precision or subdivision.

On the other hand, if you are referring to expressing "1" as a fraction or a ratio, it can be written as 1/1 or 1:1, indicating that there is one part in total, and that one part is the whole itself.

In this case, "1" is not divided into multiple parts but represents the entirety of a single unit.

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Answer:

The answer is option four, 9

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

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Answer:

(4×3)-(4×3)+(4×4×4)

12-12+64

64

Answer: 3

Step-by-step explanation:

4(3) - 4(3) + 3

\/ \/

12 - 12 + 3

0 + 3 = 3

Answer: 11

Step-by-step explanation:

F(1) = 3(1) + 8

F(1) = 3 + 8

F(1) = 11

You just substitute the x in for 1 and solve from there.

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

An equation representing the total number of donuts in the jumbo bag of Millicent's Mini Donuts that Malia and her friends bought at the fair is d = 12 x 5.

An equation is a mathematical statement that show that two or more mathematical expressions are equal or equivalent.

An equation is more than a mathematical expression.  

A mathematical expression combines variables, constants, numbers, and values using mathematical operands.

The number of Malia's friends and napkins = 12

The number of donuts in each napkin = 5

The total number of donuts in the jumbo bag = 12 x 5

An equation to find the total number of donuts, d, in the jumbo bag is d = 12 x 5.

12 x 5 = 60

Thus, the correct equation to find the number of donuts in the jumbo bag is d = 12 x 5.

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Answer:

Function has a minimum value

So, f(x)=0 and f(4)=-3

f(4)=-3 and f(x)=-x+4

f(4)=0

OAmalOHopeO

Answer: 14.4

Step-by-step explanation:

Answer:

a) He will take 76 minutes in the triathlon

Step-by-step explanation:

He runs  1/5 of a mile in 1/20 f hour then, by simple inspection

1/5    ⇒    1/20       then    1/5 miles* 10    = 2 miles

                                       1/20*hours*10    = 1/10 hours

10/10 of an hour is 60 minutes

1/10 of an hour is 6 minutes

swimming

1/3 of a mile in 1/9 of hours then

1/3mile *6   = 2 miles

1/9 of an hour * 6 = 6/9 hours  or 2/3 of an hour

3/3 of an hour is 1 hour   = 60 minutes

2/3 of an hour is    =  40 minutes

In bike

4 miles  in  1/4 hour   then

4 miles *2   = 8 miles

1/4 hour* 2  =  1/2 hour = 30 minutes

Then he will do the triathlon in:

6 minutes running

40 minutes swimming

30 minutes in bike

Total 76 minutes

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

i think that B..is a right answer

Answer:

An octagon is a polygon with eight sides.

Step-by-step explanation:

Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.

A stop-sign is an examle of an octagon.

Hope that helps!

Answer:12.45 is your answer

Step-by-step explanation:

Answer:

It would be cheaper to buy 3 bags of 4 muffins.

Step-by-step explanation:

\(2.40\) ÷ \(4 = 0.6\)

If I were to buy 1 muffin each, it would come to a unit cost of \(0.75\), hence the better option is to buy 3 bags of 4 muffins.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

Perimeter = 128 feet

The width is 24 feet less than the length is written as

w = l - 24

128 = 2l + 2( l - 24)

128 = 2l + 2l - 48

Group like terms

4l = 176

Divide both sides by 4

l = 44

The length is 44 feet

Substitute l = 44 into w = l - 24

w = 44 - 24

w = 20

The width is 20 feet

Hope this helps you

The final score of Sarah in the gaming competition will be equal to -90 points.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Given that Sarah's final score in a gaming competition was 570 points lower than Steven's final score, when Steven's final score was 480 points. This can be represented by an algebraic expression .

Let's assume that Sarah's final score was x points. Let's subtract 570 from score of Steven , and the value will be :

x = 480 - 570

So , the final score of Sarah will be equal to :

x = -90 points.

Therefore , the final score of Sarah in the gaming competition will be equal to -90 points.

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The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1 or 2 callers having to wait for more than 8 minutes which is 0.810

The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :

P(X ≤ 2) = P(0) + P(1) + P(2)

Using the individual probabilities given by the histogram attached :

P(X ≤ 2) = 0.181 + 0.345 + 0.284

P(X ≤ 2) = 0.810

Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810

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Perimeter:-

\(\\ \sf\longmapsto 4(30)=120m\)

Length of wire required=120m

Answer:

12 x 4   or  48

Step-by-step explanation:

Answer:

answer can be either 5 square root 2 or 7.01

Step-by-step explanation:

you can cancel out 2 (outside of brackets) with 2( denominator of the fraction)

Answer:

\(5\sqrt{2}\)

Step-by-step explanation:

The 2 in the denominator and outside the parenthesis both cancels out, which just leaves with the most simplified answer.

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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