Solve the given differential equation.
16x2y'' + 16xy' + y = 0
y(x) =
, x > 0

Step-by-step explanation:

=bc

3x + 1 = 223x+1=22

x = 7x=7

ad = cd = 4(7) = 28ad=cd=4(7)=28

Answer:

Step-by-step explanation:

For us to write a math expression for the problem, we will use the formula for calculating speed.

Speed is the change of distance of a body with respect to time.

Mathematically, Speed =  Distance/Time

Distance = Speed * Time

If  Lumpy drove for h hours at 50 mph, then Lumpy speed =  50mph and time = h hours.

Substituting the given parameters into the formula to get the distance;

Distance = 50mph * h hours

Distance = 50h miles

Hence the math expression that modeled how far Lumpy drive is 50h miles

Answer:

incorect

Step-by-step explanation:

15 girls     9 boy

if you haft to make 15 turn into 5 divide by 3 then you whould haft to divide 9 by 3 and the ratio whould be 3:5

As we proved that the commutator  [cA+dB. C]=c[A. C]+d[B. C] is bilinear

Let us start with the left-hand side of the equation: [cA + dB, C]. By definition, this is equal to (cA + dB)C - C(cA + dB).

Using the distributive property of multiplication, we can expand this expression to get

=> cAC + dBC - cCA - dBC.

Now let us consider the right-hand side of the equation:

=> c[A,C] + d[B,C].

By definition,

=> [A,C] = AC - CA and [B,C] = BC - CB.

Substituting these expressions into the right-hand side of the equation, we get

=> c(AC - CA) + d(BC - CB).

Using the distributive property of multiplication, we can expand this expression to get

=> cAC - cCA + dBC - dCB.

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Answer:

−x^15+8x+7

Step-by-step explanation:

Answer:

− ( x 15 − 8 x− 7 )

From: iOE Your friend :) :D *Be awesome Be You*

The maximum volume of the pool is l*w*h, where l stands for the length, w stands for the width and h  stands for the height.

Considering  l be the length,  b be the width and h be the depth of the pool, since a pool is a shape of cuboid and the surface area of  a 3-dimensional shape is  the sum of the areas of all  its faces or we can say surfaces, since here one of for a  pool the upper is hollowed, the combined surface area of the floor of the pool and the four sides is:

= 2lh+2hw+lw ,

and the volume is the amount of space occupied by the particular object. So the maximum volume of the swimming pool in cubic feet will be

= l *w*h

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To find the function of the relationship between V and t, use the following general formula, which is the formula that represents an inverse proportionality.

Where x and y are the variables and k is the consta t of proportionality.

In this case, the variables are V and t, it means that they will replace x and y in the formula, then, we have that:

It means that the product of V and t is always the same, it is a constant named as constant of proportionality. To find k use the given values of V and t, that are 10 and 2, respectively:

k has a value of 20, it means that the product of V and t will always be 20. It means that now, we can write an expression that relates V and t, because w know that nio matter which values have V and t, their product will always be 20, then Vt is 20:

It means that the function that relates V and t is:

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

a

Step-by-step explanation:

the probablity of getting head when flipping a coin that hasn't been altered is 50/50, therefor it's a :) hope it helped

Answer:

A

Step-by-step explanation:

The probability scale shows how likely or unlikely something is going to happen. So when flipping an unbiased (fair) coin, the probability of getting a head is exactly 50%. Thus, A means "half" on the probability scale so A is the correct answer.

The value of c in the joint probability density function f(x, y) is determined by integrating the function over the entire domain, which results in c = 3/2.

The given joint probability density function is defined for -y ≤ x ≤ y and 0 < y < infinity. To find the constant c, we need to integrate the given function over the given range of x and y and set it equal to 1 (since it is a probability density function).

Integrating f(x,y) with respect to x from -y to y gives c(y^2 - x^2), which can be further integrated with respect to y from 0 to infinity to get 1 = c*(2/3). Thus, c = 3/2.

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The statement for all integers m and n, "4 | (m²n²)" is true if and only if both m and n are even numbers.

To prove that "4 | (m²n²)" if and only if m and n are even numbers, we need to show two conditions.

1. If m and n are even numbers, then 4 divides (m²n²):

Assume m and n are even numbers, which means they can be expressed as m = 2k and n = 2l, where k and l are integers.

Substituting these values into (m²n²), we have (2k)²(2l)² = 4k²l².

Since 4 can be factored out, we can rewrite it as 4(k²l²), which shows that 4 divides (m²n²).

2. If 4 divides (m²n²), then m and n are even numbers:

Assume 4 divides (m²n²), which means (m²n²) is a multiple of 4.

To prove that m and n are even numbers, we will use proof by contradiction. Let's assume that either m or n is an odd number.

If m is an odd number, it can be expressed as m = 2k + 1, where k is an integer. Then m² = (2k + 1)² = 4k² + 4k + 1, which is not divisible by 4. Similarly, if n is an odd number, n² will not be divisible by 4.

Therefore, both m and n must be even numbers.

By proving both conditions, we have shown that "4 | (m²n²)" if and only if m and n are even numbers.

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The correct answer is option D. A market analyst can use a t-test to compare the page views per visit of the new website to the previous website. If the confidence intervals of the two websites are close, then it is likely that the new website is showing increased page views per visit.

By first calculating the variance for each sample and then averaging the two variances, the unpooled variance can be computed.

This calculation is applied when the standard deviations of the two samples differ considerably, as they do in this instance for the two websites.

As a result, the confidence intervals for the variance that hasn't been pooled will be very different from those for the variance that has.

This is because the pooled variance produces a more precise estimate of the difference between the two websites by accounting for the fact that the two samples have different standard deviations.

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The length of the fabric is 15cm.

What is Pythagoras' theorem?

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

Given: Elijah takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 17 inches long and the width of the fabric is 8 inches.

We have to find the fabric's length.

We apply here Pythagoras theorem and we get

a² + b² = c²

a² +  (8)² = (17)²

a² +64 = 289

a²  = 289 - 64

a²  = 225

a = 15

Hence, the length of the fabric is 15cm.

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Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.

The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.

The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.

A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.

In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.

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Answer:

\( 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350\)

Answer:

350

Step-by-step explanation:

To figure out the number, divide 63 by 18%

63/0.18 = 350

You can check by doing the opposite operation with your answer:

350 · 0.18 = 63

Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

x + y + 90 = 180

x = 67

y = 23

Step-by-step explanation:

x + y + 90 = 180

x + 2 = 3y

x + y = 90

x - 3y = -2

      x  +  y = 90

(+)  -x + 3y =  2

-----------------------

            4y = 92

y = 23

x + y = 90

x + 23 = 90

x = 67

Answer:

12+3

Step-by-step explanation:

12+6÷2

6÷2=3

12+3

pemdas

Answer:

15

Step-by-step explanation:

Start by dividing 6÷2 which is 3

Then add 3 by 12 which gives you 15

Answer:

THe answer for this question is C. It's filled with asphalt.

The La Brea Tar Pits are filled with asphalt and is denoted as option C.

This is active paleontological research which was formed around a group of tar pits.

The tar is made up of asphalt which makes it the most appropriate choice in this case.

The La Brea Tar Pits are filled with asphalt. They are a group of tar pits. There is natural asphalt that has seeped up from the ground for tens of thousands of years.

This is where many remains of prehistoric creatures were found. This animals got stuck in this pools of asphalt.

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Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

C

Step-by-step explanation:

Answer: The 12.81 for 14 lbs of apples is the better buy.

Step-by-step explanation:

Find the unit price (the price of 1 lb of apples)

7.64/8 lbs = 0.955 per pound

12.81/14 lbs. = 0.915 per pound;

The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.

In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.

The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.

However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.

Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.

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Answer:

3

Step-by-step explanation:

x = smallest

x + 1

x + 2 = largest

x + 2 = 3x

2 = 2x

x = 1

3 consecutive numbers:  1, 2, 3