Question 1 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (10,-2)

The final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To separate variables in the partial differential equation t²uxx + x²ux²t - x²zzut = 0, we assume that the solution can be written as a product of two functions, u(x, t) = X(x)T(t).

Let's begin by substituting this into the given equation:

t²(X''(x)T(t)) + x²(X(x)T'(t)) - x^2(X(x)T(t)) = 0

Now, we divide the equation by t²X(x)T(t) to separate the variables:

(X''(x) / X(x)) + (x^2 / t^2)(T'(t) / T(t)) - (x^2 / t^2) = 0

Next, we rearrange the terms:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = 0

To satisfy this equation for all x and t, the left-hand side and the right-hand side must be equal to a constant value. Let's call this constant -λ^2:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = -λ²

Now, we have two separate ordinary differential equations:

1. X''(x) / X(x) - x² / t² = -λ²

2. T'(t) / T(t) = λ²

Solving each equation separately will give us the general solutions for X(x) and T(t).

The general solution for u(x, t) can then be obtained by taking the product of X(x) and T(t):

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

The specific form of the solutions will depend on the boundary conditions or initial conditions given for the problem.

Hence, the final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

To learn more about the quadratic equation visit:

brainly.com/question/28038123

#SPJ4

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

Answer:

7aabbbjdkdbdjdkxbsks n sbs

The requirement for constricting a confidence interval for the population mean are not satisfied

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 145

We understand that

There is no other information about the distribution of measurements

This shows that the requirements are not satisfied

This is so because we need to know

Read more about normal distribution at

https://brainly.com/question/4079902

#SPJ4

Answer:

120:72:48

Step-by-step explanation:

Remark

Whatever the answer is (call it x to begin with), the equation starts as

5x + 3x + 2x = 240

What this means is that when you solve for x the results when multiplied by the ratio, should add to 240

Equation

5x + 3x + 2x = 240

Solution

Combine all the terms on the left.

10x = 240                    Divide by 10

x = 240/10

x = 24

Check

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

Answer:

45 and 13…......

Step-by-step explanation:

devide

Can you post a picture?

It would make it so much easier.

Answer:

9

Step-by-step explanation:

15/3 simplified is 5.

5 + 4 = 9

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

Volume is the amount of space taken up by an object

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

To check more about rectangular prism click here

https://brainly.com/question/21308855

#SPJ2

Answer:

1/12 a cup

Step-by-step explanation:

1/3*1/4=1/12

Answer:

1/12

Step-by-step explanation:

1/3*1/4=1/12

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

The total cost of the ride service from airport to home is = $ 38.75

The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

Answer:

m<ADC= 117

Step-by-step explanation:

Answer: 2/15

Step-by-step explanation:

Experimental probability is the actual results of the experiment (not what should have happened, which is theoretical probability.

A 3 was rolled 8 times, so the results are 8/60=4/30=2/15

Answer:

It takes him 15 minutes.

Step-by-step explanation:

Donnie clean the llama pen in 180 minutes on his own.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Daniel and Donnie can clean the llama pen in 45 minutes.

And, On his own, Daniel can clean the pen in an hour.

Now,

Let time to clean the llama pen in on his own = x minutes.

Since, Daniel and Donnie can clean the llama pen in 45 minutes.

So, In 1 minute, Daniel and Donnie clean the pen = 1/45

And, In 1 minute Daniel to work = 1/60

Thus, We can formulate;

1/x + 1/60 = 1/45

Solve for x as;

(60 + x) / 60x = 1/45

60 + x = 60x / 45

60 + x = 4x/3

180 + 3x = 4x

180 = 4x - 3x

180 = x

Thus, Donnie clean the llama pen in 180 minutes on his own.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Answer: 60

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

Answer:

answer is on this page

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

Answer:

D. 9p + $11.50 = $94.75; p = $9.25

Step-by-step explanation:

To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,

                                $11.50 + 9p = $94.75

The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.

...................................................................................................................................................

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

in this problem

substitute the values in the formula above

solve for p

therefore

the answer is the option D

calculista

Genius

19K answers

437.3M people helped

25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.

25% = 0.25

30x0.25=7.5

So x is 7.5.

---

hope it helps

Answer:    do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

By introducing the appropriate change of variable x = t + 2, we transformed the given integral [, sin(x - 2) dx] into S1, g(t)dt = [, sin(t) dt], where g(t) = sin(t). (option a)

To transform the given integral [, sin(x - 2) dx] into the form S1, g(t)dt, we need to apply a suitable change of variable. In this case, we'll introduce a new variable, t, and express x in terms of t. Let's denote this change of variable as x = h(t), where h(t) represents the transformation of t to x.

To determine the appropriate change of variable, we can start by looking at the expression inside the sine function: x - 2. We need to find a suitable expression for x that can help us simplify the integral. Let's set x - 2 equal to t:

x - 2 = t.

Now, we solve this equation for x to express it in terms of t:

x = t + 2.

Next, we differentiate both sides of the equation x = t + 2 with respect to t to find dx/dt:

dx/dt = d(t + 2)/dt.

Differentiating t + 2 with respect to t gives us:

dx/dt = 1.

Now, we have dx/dt = 1, which means dx = dt. We can substitute this value into the original integral:

[, sin(x - 2) dx] = [, sin(t) dt].

As you can see, the original integral [, sin(x - 2) dx] has been transformed into the form [, sin(t) dt] using the appropriate change of variable x = t + 2. Therefore, the integral S1, g(t)dt is now:

S1 = [, sin(t) dt],

and g(t) = sin(t).

Hence the correct option is (a).

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045

In a confidence interval, the lower bound represents the point estimate minus the margin of error, and the upper bound represents the point estimate plus the margin of error. In this case, the lower bound of the confidence interval is 0.069 and the upper bound is 0.159. To express it in the form of p ± E, we need to find the point estimate and the margin of error.

The point estimate, p, is the average or central value of the interval. In this case, it would be the midpoint between the lower and upper bounds:

p = (0.069 + 0.159) / 2 = 0.114

The margin of error, E, can be calculated by taking half the difference between the upper and lower bounds:

E = (0.159 - 0.069) / 2 = 0.045

Therefore, the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045.

Learn more about confidence interval here:

https://brainly.com/question/32546207

#SPJ11