Solve the problem PDE: Utt = 4uxx BC: u(0, t) = u(1,t) = 0 IC: u(x, 0) = 3 sin(2πx), u(x, t) = help (formulas) 0 < x < 1, t> 0 u₁(x, 0) = 4 sin(3πx)

The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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Answer:

A = 9x² + 48x + 65

Step-by-step explanation:

Area of a Square Formula: A = lw

Since a square's length is equal to its width, we simply plug it into the formula:

A = (3x + 8)(3x + 8)

Then we simply use FOIL to expand the distribution)

First - 3x(3x) = 9x²

Outside - 8(3x) = 24x

Inside - 8(3x) = 24x

Last - 8(8) = 64

Lastly, we combine like terms

9x² + 24x + 24x + 64

9x² + 48x + 64

To transform 60°F to Celcius, we have to use the following formula

Replacing the given temperature, we have

Answer

125 of each meal are ordered

Step-by-step explanation:

You first multiply 7 x 125, which will get you 875

Next, you multiply 5 x 125 and get 625

Add that together and you get 1500

Answer:

53

Step-by-step explanation:

let's call Luke's age now is L and Nathan's age now is N

7 years from now

(L + 7) + (N + 7) = 81

=> L + N = 81 - 7 - 7

=> L + N = 67

5 years ago

(L - 5) = 2(N - 5)

=> L - 5 = 2N - 10

=> L = 2N - 10 + 5

=> L = 2N - 5

Substitute L = 2N - 5

L + N = 67

(2N - 5) + N = 67

2N + N = 67 + 5

3N = 72

N = 72/3 = 24

L = 2N - 5 = 2(24) - 5 = 48 - 5 = 43

In 10 years, Luke will be 43 + 10 = 53

Answer:

Luke age after ten years from now is 51.332 years

Step-by-step explanation:

Solution:

Suppose the present age of Luke be x' and Nathan be y'

Case-1

(x+7)+(y+7)=81.5

x+y=81.5-14

x+y=64.5.....1

Case-2

(x-5) = 2(y-5)

2y-x=5.....2

Now;

Adding 1 and 2

x+y+2y-x=64.5+5

y=69.5/3

y=23.166

putting value of y in 2

2y-x=5

x=41.332

Finally

Age of Luke after 10years from now

=41.332+10

=51.332

The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is

Mean =9.5

Median = 11 or 9

Mode is 9

Given that,

The data is 9,10,9,9,11,9,10,9,9,10

The data's mean, median, and mode must be determined.

We know that,

The arithmetic mean of the provided data is another name for mean. If the data are grouped and sorted in ascending order, the median is the value that falls in the middle of the set of grouped data. The value that dominates the data is known as the mode. The Mean, Median, and Mode formulas are described independently for the group of data in the sections that follow.

The data is 9,10,9,9,11,9,10,9,9,10

Mean = 9+10+9+9+11+9+10+9+9+10/10 =95/10=9.5

Median = 11 or 9

Mode is 9

Therefore, The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is

Mean =9.5

Median = 11 or 9

Mode is 9

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Answer:

He is incorrect

Step-by-step explanation:

Given

3(x + 1) - 5 = 3x - 2 ← simplify left side

3x + 3 - 5 = 3x - 2

3x - 2 = 3x - 2

Since both sides are equal, then this indicates that the equation has infinite solutions.

Answer:

$15 per hour

Step-by-step explanation:

If you look ay hour 1 you can see it is just shy of 80 therefore it would be a $15 increase if you look at hour 2 you can see it is between 80 and 100 which would be 90 that would be 60+15+15=90

Answer:

C; $30 per hour

Step-by-step explanation:

120/4=30

If you find one of the coordinate points, you can divide y by x to find the answer since it is asking for per hour.

180 Red folders, 192 Blue folders, and 372 total folders.

Step-by-step explanation:

I'm not sure if I'm doing this correctly but it seems fitting to me, so basically, I multiplied 5x36 to get 180, then multiplied 6x32 to get 192. Next, I added 180+192 to get 372 total folders.

Answer:

A) $0.11 is answer

Step-by-step explanation:

Please Mark at brainlist

Answer:

[A] $0.11

Step-by-step explanation:

Note:

Dozen egg = 12 Eggs

Now Divide the Cost by the Number of eggs

1.35/12 = 0.1125

Round;

0.11

Hence, Answer is [A] $0.11

[RevyBreeze]

Answer:

3647

Step-by-step explanation:

4507-860=3647

Answer:

Calculate the difference of the two points, so the change is 3647, meaning the in elevation is 3,647 feet

Step-by-step explanation:

Relation 1: FUNCTION

Relation 2: NOT a function

Relation 3: FUNCTION

Relation 4: NOT a function

Relation 2 is not because if you are asked, "What is the output for 3?", there are two answers: 4 and 9.

To be a function, there can only be a single answer to that question.

Relation 4 is not because if you are asked, "What is the output for -2?", there are three answers: v, a and u.

The probability density function (PDF) of the random variable

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f

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where

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(

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f

X

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(x) is the PDF of the gamma random variable

�

X with parameters

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α and

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β.

To find the PDF of

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Let's start with the cumulative distribution function (CDF) of

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where

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(x) is the CDF of the gamma random variable

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Hence, the PDF of the random variable

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=

3

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Y=3X−1 is given by

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(

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The probability density function (PDF) of the random variable

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(

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(

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f

X

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(x) is the PDF of the gamma random variable

�

X with parameters

�

α and

�

β.

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The required equation that describes the given relationship is y = x/4

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, the graph shows the linear relationship between number of gallons of white paint and number of gallons of red paint added to prepare pink.

Number of gallons of white paint required = x

Number of gallons of red paint required = y

As, y is proportional to x

we can say:

y = kx

As, point (4,1) lies on the line

k = 1/4

Hence, the equation for the relationship between x and y is y = x/4

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The question do not contain graph, so the question is solved for the attached graph,

The slope of the tangent line at (4, 54) is 45. So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to use calculus. First, we find the derivative of the function:

y' = 3x^2 - 3

Next, we plug in x = 4 to find the slope of the tangent line at that point:

y'(4) = 3(4)^2 - 3 = 45

So the slope of the tangent line at (4, 54) is 45. To find the equation of the line, we use the point-slope form of the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in our values, we get:

y - 54 = 45(x - 4)

Simplifying, we get:

y - 54 = 45x - 180

y = 45x - 126

So the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 45x - 126.

To find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54), we need to first find the derivative of the function and then use the point-slope form of a line.

1. Find the derivative of the function with respect to x:
y'(x) = d/dx (x^3 - 3x + 2) = 3x^2 - 3

2. Evaluate the derivative at the given point (4, 54) to find the slope of the tangent line:
m = y'(4) = 3(4)^2 - 3 = 3(16) - 3 = 48

3. Use the point-slope form of a line (y - y1 = m(x - x1)):
y - 54 = 48(x - 4)

4. Simplify the equation:
y - 54 = 48x - 192
y = 48x - 138

So, the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (4, 54) is y = 48x - 138.

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The statements that can be used to determine independent events are given as follows:

If two events are independent, the multiplication of the probabilities of each event is equals to the probability of both events, that is:

P(A and B) = P(A) x P(B).

Which means that the first statement is correct.

The conditional probability formula is given as follows:

P(B|A) = P(A and B)/P(A).

However, for independent events, we know that:

P(A and B) = P(A) x P(B).

Hence:

P(B|A) = P(A) x P(B)/P(A).

P(B|A) = P(B).

The same is true for the opposite, meaning that:

P(A|B) = P(A).

Meaning that the last statement is correct.

The Venn probability P(A or B) = P(A) x P(B) - P(A and B) can also be used to determine if the events are independent, when it assumes a value of zero.

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The ladder reaches 19.938 foot high from the ground on the wall.

A right angled triangle is a triangle that has one of its angle measure as 90  degree.

It is given that

Ladder Length = 22 foot

The angle between the ladder and the ground is 65 degree.

When the ladder leans on a wall , the wall makes 90 degree with the ground and the ladder is the hypotenuse of the right angled triangle formed.

The figure is attached with the answer.

sin 65 = Height of the wall / Hypotenuse

0.9063 = Height of the wall / 22

Height of the wall = 19.938 foot

Therefore the ladder reaches 19.938 foot high from the ground on the wall.

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Answer:

19.94

Step-by-step explanation:

here, base(b)=7, perpendicular(p)=8 and hypotenuse(h)=?(c)

by using pythagoras theorem.

h^2=p^2+b^2

or,h^2=8^2+7^2

or,h^2=113

or,h=

\( \sqrt{113} \)

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

The 98% confidence interval for the distribution of differences is given as follows:

(-2.58%, 5.78%).

The difference of the sample means is given as follows:

6.6 - 5 = 1.6%.

The standard error for each sample is given as follows:

The standard error for the distribution of differences is then given as follows:

\(s = \sqrt{0.53^2 + 1.64^2}\)

s = 1.72.

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 19 + 22 - 2 = 39 df, is t = 2.4286.

The lower bound of the interval is given as follows:

1.6 - 2.4286 x 1.72 = -2.58%.

The upper bound of the interval is given as follows:

1.6 + 2.4286 x 1.72 = 5.78%.

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We can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling. not an SRS because the first sample was not balanced between men and women

an SRS?

the leader of a student organization wishes to form a committee that will consist of 5 of the 50 members.

he decides to take an SRS of size five from the members and those selected will comprise the committee.

he chooses an SRS of size five and all are men.

he would like to have some women on the task force, so he decides to take another SRS.

this time there are three women and two men in the sample, so he decides these five will form the committee.

we can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling.

an SRS because all members had the same chance of being in the final sample.

not an SRS because a sample consisting entirely of men is not allowed.

not an SRS because the first sample was not balanced between men and women.

we can conclude the sample obtained is an SRS because the final sample was obtained by simple random sampling. not an SRS because the first sample was not balanced between men and women.

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Ground-state electron configuration of gas-phase Co²+ is [Ar] 3d⁷. Answer: (E) [Ar] 3d⁷.Explanation: First of all, we need to find the electron configuration of Cobalt (Co).

The electron configuration of Cobalt (Co) is 1s²2s²2p⁶3s²3p⁶4s²3d⁷.Now, we can remove the electrons to get the electron configuration of gas-phase Co²+ .Co: 1s²2s²2p⁶3s²3p⁶4s²3d⁷Co²+: 1s²2s²2p⁶3s²3p⁶3d⁷The full electron configuration of Co²+ will be [Ar] 3d⁷. Therefore, the answer is (E) [Ar] 3d⁷.

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To find the particular solution of the given differential equation, we can separate the variables and integrate both sides. Let's solve the differential equation:

dy / (2yx^5) = 0

Separating the variables:

1 / (2y) dy = x^-5 dx

Integrating both sides:

∫(1 / (2y)) dy = ∫(x^-5) dx

Applying the antiderivative:

(1/2) ln|y| = (-1/4) x^-4 + C

Simplifying the constant of integration, let's use the initial condition x = 0 when y = 1:

(1/2) ln|1| = (-1/4) (0)^-4 + C

0 = 0 + C

C = 0

Therefore, the particular solution is:

(1/2) ln|y| = (-1/4) x^-4

Simplifying further, we can exponentiate both sides:

ln|y| = (-1/2) x^-4

e^(ln|y|) = e^((-1/2) x^-4)

|y| = e^((-1/2) x^-4)

Since y can be positive or negative, we remove the absolute value:

y = ± e^((-1/2) x^-4)

Hence, the particular solution of the given differential equation is y = ± e^((-1/2) x^-4).

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In general form, the equation is 8x² + 30x - 2x = 0.

In factored form, the equation is 4x(2x + 7) = 0.

To solve the equation 8x² + 30x = 2x, we can rearrange it to bring all the terms to one side:

8x² + 30x - 2x = 0

Combining like terms:

8x² + 28x = 0

Now, let's factor out the common factor of 4x:

4x(2x + 7) = 0

To find the solution set, we set each factor equal to zero and solve for x:

4x = 0 -> x = 0

2x + 7 = 0

2x = -7

x = -7/2

Therefore, the solution set for the equation is {0, -7/2}.

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Answer:

he bought 2.9 pounds of coffee

Answer:

2.9 pound bag

Step-by-step explanation:

Divide 19.23 by 6.63 and you get 2.9004524887. So i rounded it up to 2.9 and thats the answer.

Mr Alba bought a 2.9 pound bag

Answer:The third statement is true: The graph of y=log (x) + 4 is the graph of y=log(x) translated 4 units up.

Step-by-step explanation:

Using translation concepts, it is found that the graph of y=logx - 4 is the graph of y = logx translated 4 units right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

here, we have,

In this problem, the parent function is:

y=logx

The translated function is given by:

y=logx - 4

now, here, we have to find the translation, which is done in the transformation of y=logx to y=logx - 4

here, we noticed that,

The change was in the domain, in which x→x-4 , which means that the function was translated 4 units right.

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Using the spring's force we know that 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

So, F is the 4 lb force required to maintain the spring's stretched position.

The labor of extending a spring is denoted by the formula:

So, calculate:

Therefore, 48.4 lb-ft work is done in stretching the spring from its natural length to 1.1 feet beyond its natural length.

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Answer:

I think it's 8...

Step-by-step explanation:

8x8 = 64

since each side is the same.

sorry if I'm wrong though-

Answer: 16 cm long

Step-by-step explanation:

Since we already have given the Area of the Square i.e. 64cm²

So, putting values into the Formulae, we get-

Area of the Square = side X side

64 = 8 x 8

since the sides have to be equal because the square has 4 equal sides, we multiply it by 4, it has to be 4 x 4 = 16

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