Zan needs 28 centimeters of ribbon for each bow she makes. What is the greatest number of bows Zan can make with 9 feet of ribbon?

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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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:

4

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

I used a calculator.

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

600 is the answer to the question

The length in feet of the longest part of the garden would be = 6ft

A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.

The area of the given triangle = 54in²

The perimeter of the given triangle = 36 in.

Using the formula for area of a triangle ;

Area = ½ base(b) ×height(h)

where base = 9 in

54 = 1/2 × 9 × h

Make h the subject of formula;

h = 54×2/9

h = 108/9

h = 12

But the perimeter = sum of the whole sides of the triangle

perimeter = 36

side a = 9

side b = 12

side c = X

that is , 36 = 9+12+X

make X the subject of formula;

X = 36-21

X = 15in

Therefore, 15 in when converted to feet;

2 ft = 5 in

X ft = 15 in

xft = 2 × 15/5

X ft = 30/5

X ft = 6ft

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The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

\(\lambda = 10m\) --- the wave length

\(f =2Hz\) --- the frequency

\(A = 3m\) --- the amplitude

The speed of wave (v) is calculated as follows:

\(v =f\lambda\)

Substitute values for f and \(\ambda\)\(\lambda\)

\(v = 2Hz \times 10m\)

\(v = 20ms^{-1}\)

Hence, the speed of the wave is 20m/s

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The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

9.7%

Step-by-step explanation:

Enrique pays 0.02(4,500)=90 in interest to his uncle.

He pays 0.115(23,500−4,500)=2,185 in interest to the bank.

The total amount of interest he pays is 2,185+90=2,275, which is a rate of

2,27523,500≈0.097

or 9.7%.

Answer: 9.7%

Step-by-step explanation:

Answer:

called unit rate .

Step-by-step explanation:

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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a. The slopes of lines C and B are the same, therefore, they are parallel.

b. y = 30

c. x = 11

The slope of a line (m) = change in y/change in x.

Two lines having the same slope (m) value means they are parallel to each other.

a. Slope of line A = change in y/change in x = (9 - 0)/(3 - 0) = 9/3

Slope of line A = 3

Slope of line B = (15 - 1)/(8 - 1) = 14/7

Slope of line B = 2

Slope of line C = (21 - 3)/(12 - 3) = 18/9

Slope of line C = 2

Slope of line D = change in y/change in x = (14 - 2)/(9 - 1) = 12/8

Slope of line D = 3/2

Lines C and B have the same slope, therefore they are parallel.

b. 3 = (9 - y)/(3 - 10)

3 = (9 - y)/-7

-21 = 9 - y

-21 - 9 = -y

-30 = -y

y = 30

c. 2 = (15 - 21)/(8 - x)

2 = -6/(8 - x)

2(8 - x) = -6

16 - 2x = -6

-2x = -6 - 16

-2x = -22

x = 11

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Answer:

486

Step-by-step explanation:

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

9514 1404 393

Answer:

  x = 50°

Step-by-step explanation:

The angle marked 73° is the average of the arcs marked 96° and x.

  (x +96°)/2 = 73°

  x = 2(73°) -96° . . . . solve for x

  x = 50°

__

Additional comment

Then z = 360° -50° -114° -96° = 100°.

Answer:

Negative

Step-by-step explanation:

Negative, because a positive and a negative create a negative and a positive and positive make a positive. Negative and negative make positive. Different signs always create negative, the same signs always create positive.

Answer:

negative

is math because you can do that I am going through my resume is attached to this topic has been sent to me know when you have any questions

Answer:

I tried to answer but I still would like to know what doesn't make sense.

Considering the identity:

\(\sec^2\theta-\tan^2\theta=1 \implies |\sec\theta|\geq1\)

\($\forall\;\theta\in\mathbb{R}-\{(2n+1)\frac{\pi}{2}, n\in\mathbb{Z} \}$\)

The identity is true whenever both sides are defined. It is not supposed to hold the values when we have division by zero, because it is undefined.

If the value doesn't make sense, it is probably not a function, or it is undefined by the given value of \(x\).

Let's go back to the definition of function again:

A function relates a set of inputs and a set of allowable outputs where each input is related to only one output. It basically defines the relation of ordered pairs.

Hope it helped you a bit.

Answer:

D) 4/286

Step-by-step explanation:

Let's organize the data in a table:

Number of coins Value of Coin

6 2$

4 5$

3 1$

Total: 13 coins

The probability one randomly selected coin is a 5$ dolar coin is:

After this, there will be 12 remaining coins (and three 5$ coins).

So, the probability that the second coin is a $5 coin:

After this, there will be 11 remaining coins (and two 5$ coins).

So, the probability that the third coin is a $5 coin:

So, the probability that the three coins are 5$ coins is the product of the three coins.

Solution

To find the equation of a line passing through the points (0,-4)(5,-4)

The equation would be;

Given

Answer: 0.309, 0.969.

Step-by-step explanation: plato answer

Answer:

Hi there!

Your answer is:

$440 earned from working a 50 hour week

Step-by-step explanation:

8× 40= $320

Subtract 40 from 50 to determine how many overtime hours he worked!

12× 10 = $120

320+ 120= $440

I hope this helps!

Answer:

(a)(0,1)

(b)(1, ∞)

Explanation:

Given the function:

The graphs are attached below:

The red represents y=x^(1/2) and the blue y=x^(1/4).

(a)The values of x that makes x^(1/2)

(b)The values of x that makes x^(1/4)

The amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

When two variables change in tandem, the relationship is said to be direct. The variable y increases as the variable x increases. A linear relationship denoted by the equation y = kx is directly proportional.

There is a direct correlation between a circle's radius and area, meaning that when the radius is increased or decreased, the area correspondingly changes. If one variable increases while the other declines or vice versa, the relationship between the two variables is inverse.

For given question-

Jordan created the graph below to illustrate the correlation between a city's temperature and the daily sales of hot chocolate.

As we can see that - when the temperature increases the demand for the ice cream also increases which is the direct relation.

Thus, the amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

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The diagram for the question is attached:

Answer:

\(a=4\)

Step-by-step explanation:

Given

\(3a=12\)

Divide both sides by 3 to isolate \(a\):

\(\frac{3a}{3}=\frac{12}{3}\\ \\a=4\)

Answer:

a=4

Step-by-step explanation:

divide 3 on both sides

Answer:

B.) Doom

Step-by-step explanation:

I just did that test on Edge.

The repetition of the word “no” in this excerpt helps create a tone of doom.

Tone in literature is the general character as well as the  attitude of the author on the piece of writing or the  situation.

In the case of the text, doom was used which means the predicament or unpleasant situation that took place in  the farms when the  hens brooded, but no chicks hatched.

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