What was the beginning balance in the incomplete register shown? Date 10/21/03 Description of Transaction Payment Deposit Balance Beginning Balance Mike's Cafe 10/26/03 Sporting Goods Store Paycheck Amusement Park $38.25​

The required heat equation is u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t)

To solve the heat equation in the given interval [-6, 0], we can use the separation of variables method. Let's denote the dependent variable as u(x, t), where x represents the spatial variable and t represents the temporal variable.

The heat equation in one dimension is given by:

∂u/∂t = α ∂²u/∂x²,

where α is the thermal diffusivity constant.

To solve this equation, we assume that the solution can be represented as a product of two functions, each depending on a single variable:

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

Substituting this into the heat equation, we have:

X(x)T'(t) = αX''(x)T(t),

where prime (') denotes differentiation with respect to the variable.

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

T'(t)/T(t) = αX''(x)/X(x).

Since the left side depends only on t and the right side depends only on x, both sides must be equal to a constant, which we'll denote as -λ²:

T'(t)/T(t) = -λ² = αX''(x)/X(x).

Now, let's solve the temporal part of the equation:

T'(t)/T(t) = -λ²

This is a separable ordinary differential equation (ODE), and its general solution is given by:

T(t) = exp(-λ²t).

Next, let's solve the spatial part of the equation:

αX''(x)/X(x) = -λ².

This is also a separable ODE, and its general solution is given by:

X(x) = A×cos(λx) + B×sin(λx),

where A and B are arbitrary constants.

Therefore, the general solution to the heat equation is:

u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t).

Since we have the given interval [-6, 0], we can apply appropriate boundary conditions to determine the values of A, B, and λ that satisfy the problem.

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Answer:

Step-by-step explanation:

Answer:

j = -3

Step-by-step explanation:

-2j = -20 + 26

-2j = 6

j = -3

Answer:

72

Step-by-step explanation:

hopefully you dont need work since you need it asap :(

Answer:

Step-by-step explanation:

1/2 (a+b) x h

a+b = 9+15= 24 / 2 = 12

12 x 6 = 72cm2

The distance travelled by the car during its 5th second of motion is 775 m.

Part A)

Given data:

Speed of train 1 = 72 km/h

Speed of train 2 = 144 km/h

The distance between the trains is 0.950 km

Braking acceleration of trains = -12960 km/h²

We have to determine if the two trains collide or not.

To solve this question, we first need to determine the distance each train will travel before coming to a stop.

Distance travelled by each train to come to rest is given by:

v² = u² + 2as

where, v = final velocity

u = initial velocity

a = acceleration of train

and s = distance travelled by train to come to rest

Train 1: u = 72 km/h

v = 0 km/h

a = -12960 km/h²

s₁ = (v² - u²) / 2a

s₁ = (0² - 72²) / 2(-12960) km

= 0.028 km

= 28 m

Train 2: u = 144 km/h

v = 0 km/h

a = -12960 km/h²

s₂ = (v² - u²) / 2a

s₂ = (0² - 144²) / 2(-12960) km = 0.111 km

= 111 m

The total distance travelled by both the trains before coming to rest = s₁ + s₂ = 28 + 111 = 139 m

Since 139 m is less than 950 m, therefore the trains collide.

Part B)

Given data:

Speed of truck = 10.0 m/s

Acceleration of car = 2.50 m/s²

The distance travelled by the car in the time t is given by:

s = ut + 1/2 at²

where,u = initial velocity of car

a = acceleration of car

and s = distance travelled by car

The car catches up with the truck when the distance covered by both of them is the same. Therefore, we can equate the above two equations.

vt = ut + 1/2 at²

t = (v - u) / a

t = (10 - 0) / 2.5 s

t = 4 s

Therefore, the time required for the car to catch up to the truck is 4 seconds.

Distance travelled by the car:

s = ut + 1/2 at²

s = 0 x 4 + 1/2 x 2.5 x 4²s = 20 m

Therefore, the distance travelled by the car is 20 m.

Speed of car when it passes the truck:

The velocity of the car when it passes the truck is given by:

v = u + at

v = 0 + 2.5 x 4

v = 10 m/s

Therefore, the speed of the car when it passes the truck is 10 m/s.

Part C)

Given data:

Acceleration of rocket car = 124 m/s²

The velocity of the car at a time t is given by:

v = u + at

where,v = velocity of car

u = initial velocity of car

a = acceleration of car

and t = time taken by the car

To find the speed of the car at a time of 5.00 seconds, we have to put t = 5 s in the above equation:

v = u + at

v = 0 + 124 x 5

v = 620 m/s

Therefore, the speed of the car at a time of 5.00 seconds is 620 m/s.

The distance travelled by the car during its 5th second of motion is given by:

s = u + 1/2 at² + (v - u)/2 x ta = 124 m/s²

t = 5 s

Initial velocity of car, u = 0

Therefore, s = 1/2 x 124 x 5² + (620 - 0)/2 x 5

s = 775 m

Therefore, the distance travelled by the car during its 5th second of motion is 775 m.

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Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

6w - 60x + 6

Step-by-step explanation:

6 goes into each

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

separate

6.w         6.-10x         6.1

multiply

6w           -60x           6

put it all together

6w-60x+6

Answer:

144 oz

Step-by-step explanation:

Answer:  If i'm not mistaking its 144 oz.  If that's what the question is asking you.  Hope this helps <3.

Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

The speed after accelerating is 44 m/s

The given parameters are

The initial speed of the bus is 40m/s

The acceleration of the bus = 3.5m/s²²

The distance covered by the bus = 50 m

We can find the final speed of the bus using the formula

V= U + at

Where

⇒V= ⇒40 +3.5*5/4

Note that t=d/s

t= 50/40 = 5/4

This means that V= 40+ (3.5*5)/4

V=40 + 4.375

Velocity = 44.375m/s

In conclusion, the speed of the bus after accelerating is 44m/s

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Answer: So the answer is 2.83

Step-by-step explanation: This is a terminating decimal number, so if I round up to the nearest trillionth place it will be 2.83. Just only give me a thanks and 5-star rate. :)

Answer: \(=8\frac{44}{75}\)

Answer:

0.2

Step-by-step explanation:

5/25 as a decimal is 0.2.

1/5=0.2

just reduce it to 1/5 and divide it into a decimal

A company pays $245.70 for 27 boxed lunches from a deli. If each boxed lunch is the same price, the unit cost of each boxed lunch is $9.10.

To find the unit cost of each boxed lunch, we need to divide the total cost by the number of boxed lunches.

Total cost of 27 boxed lunches = $245.70

Unit cost of each boxed lunch = Total cost / Number of boxed lunches

Unit cost of each boxed lunch = $245.70 / 27

Unit cost of each boxed lunch = $9.10 (rounded to two decimal places)

Therefore, the unit cost of each boxed lunch is $9.10.

In this case, the deli will need to ensure that each boxed lunch is priced higher than the unit cost of $9.10 to make a profit. The difference between the unit cost and the selling price will contribute to the deli's revenue and cover other expenses such as labor, rent, and utilities.

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None of the above. All of the given values (0.003, 0.814, 0.942, and 0.696) can be valid exponential smoothing constants.

Exponential smoothing is a popular method for smoothing and forecasting time series data. It involves assigning weights to past observations in a way that the more recent observations are given more importance. The exponential smoothing constant determines the weight assigned to the most recent observation.

The exponential smoothing constant, often denoted as α (alpha), should be between 0 and 1. A value of 0 implies that only the most recent observation is considered, while a value of 1 implies equal weights are given to all past observations.

In the context of the given options (0.003, 0.814, 0.942, and 0.696), each value falls within the valid range of 0 to 1. Therefore, all of them can be valid choices for the exponential smoothing constant, depending on the specific requirements of the forecasting problem and the desired level of smoothing. The choice of constant will influence the level of responsiveness to recent observations and the level of smoothness in the forecasted values.

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Option C. Between 1982 and 2012, there were fewer House members who fell between the most liberal Republican and the most conservative Democrat. represents a trend supported by the data in the bar graph

What is bar graph?

A bar graph, also known as a bar chart, is a graphical representation of categorical data using rectangular bars. It is used to compare and display the values of different categories or groups.

In a bar graph, each category or group is represented by a separate bar. The length or height of each bar corresponds to the value or frequency of the category it represents. The bars are typically drawn vertically or horizontally, with the length or height proportional to the data being represented.

The horizontal axis of a bar graph represents the categories or groups, while the vertical axis represents the values or frequencies. Labels or values are often placed along the axes to provide additional information.

Bar graphs are commonly used to visualize and compare data in various fields, including statistics, economics, market research, and social sciences. They provide a clear visual representation of data, making it easy to interpret and understand comparisons between different categories or groups.

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A researcher is using a chi square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

The Chi-square test is a statistical method that is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in a contingency table. It is used to test whether the observed frequencies of one or more variables differ significantly from their expected frequencies. It can be used for both categorical and numerical data.

The null hypothesis for a Chi-square test is that there is no significant difference between the observed and expected frequencies, i.e., the observed frequencies are similar to what is expected based on chance. The alternative hypothesis, on the other hand, is that there is a significant difference between the observed and expected frequencies.

Here, the researcher is using a chi square test to determine whether people have any preferences among three brands of televisions.

Therefore, the null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

This means that the researcher assumes that there is no significant difference between the observed and expected frequencies of each brand, i.e., the proportions of people who prefer each brand are equal.

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If the family size sunscreen bottle holds 12 fl oz (fluid ounces) of sunscreen, while the regular bottle has 75% less, we will then convert the percentage into fluid ounces with the following calculation:

75/100×12=9

From the calculation above, we know the difference in the liquid content between both bottles; the regular size bottle of sunscreen has 9 fl oz (fluid ounces) less liquid content. So the liquid content of a regular sunscreen bottle is 3 fl oz (fluid ounces)

You asked an incomplete question, so I assume your complete question was:

"The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle hold?"

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Answer:

1

Step-by-step explanation:

1 • 3 + 4 = 7

Answer:

Step-by-step explanation:

Here we can see

Arc YZ = Arc XZ

So we know that equal arcs form equal chords , Then

Chord YZ = Chord XZ

8x - 5 = 6x + 10

8x - 6x = 10 + 5

2x = 15

x = 7.5

hope it helps :0

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

brainliest PLssssss

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

6.

solution:

8+5=13

8×5=40

Answer:

11.5 m^2

Step-by-step explanation:

The area of a parallelogram is base * height, so you have to find the height.

You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/\(\sqrt{3}\) = \(4\sqrt{3}/3\).

Then, find the area, so do base * height = 5 * \(4\sqrt{3} /3\) = \(20\sqrt{3}/3\).

Put this in a calculator and you get: 11.5 m^2

Answer:

Range: 6,500

The difference between the largest and the smallest number.

Mode: 12,000

The number that appears most.

Mean: 11,000

Because its the average of all numbers

Median: 9,500

The middle number

inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

Answer:

1001 in base 2.

Step-by-step explanation:

1010001

= 1 + 2^4 + 2^6

= 1 + 16 + 64

= 17 + 64

= 81  in base ten.

Square root of this is 9

In base 2 this is 1001

Answer:

23.83......the 6 is greater than 5 so the 2 turns 3

Step-by step

Answer:

y=1/2x+9

Step-by-step explanation: