what is the product?
(3a²b^4)(-8ab³)

Answer:

its B= 79/80

Step-by-step explanation:

i divided 79 by 80 and got .87 repeating

(brainliest???)

Answer:

8/9.

Step-by-step explanation:

The best answer since the right one isn't on there which is 87/100.

Answer:

\( \boxed{ \bold{ \huge{ \sf{x = 29}}}}\)

Step-by-step explanation:

\( \sf{ - 3(3 + x) + 4(x - 6) = - 4 }\)

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒\( \sf{ - 9 - 3x + 4x - 24 = - 4}\)

Collect like terms

⇒\( \sf{x - 9 - 24 = - 4}\)

Calculate

⇒\( \sf{x - 33 = - 4}\)

Move 33 to right hand side and change it's sign

⇒\( \sf{x = - 4 + 33}\)

Calculate

⇒\( \sf{x = 29}\)

Hope I helped!

Best regards!!

a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price

b) The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Given,

The purchase price for the studio apartment = $200,000

The down payment they paid = $60,000

a) We have to find the percentage of down payment to purchase price.

Here,

Percentage = (down payment x 100) / purchase price

= (60,000 x 100) / 200,000

= 60/2

= 30

That is,

The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.

b) We have to find the percentage to purchase price if the down payment is $90,000

Here,

Percentage = (down payment x 100) / purchase price

= (90,000 x 100) / 200,000

= 90/2

= 45

That is,

The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

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To find the cat's final position, we need to add up all the vectors representing the cat's movements.

The cat first travels along the vector −1, 2.

Next, the cat chases the ball along the vector 2, 6 − , which we can write as (2, 6) − (0, 1) = (2, 5).

Then, the cat darts after the ball 1.5 times along the vector 4, 3, which we can write as 1.5(4, 3) = (6, 4.5).

Finally, the cat's position after catching the ball is the sum of all these vectors:

(-1, 2) + (2, 5) + (6, 4.5) = (7, 11.5)

Therefore, the vector describing the cat's final position is (7, 11.5).

Answer:

180.0

Step-by-step explanation:

Answer:

179.9526 rounded to the nearest tenth is 180.0

Step-by-step explanation:

The first game brought in more money than the last game.

Any number of equal parts is represented by a fraction, which also symbolizes a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many pieces of a particular size there are when spoken in everyday English.

According to question:

The baseball team made more money at their first game because 6/7 is less than 1. This means that they made less money at their last game than at their first game. For example, if they made $100 at their first game, then they made 6/7 x $100 = $85.71 at their last game, which is less than $100.

Therefore, the first game brought in more money than the last game.

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According to given data on unmarried mothers as of 2021, around 25% of American children under 18 are living with a single parent.

The percentage of children born to unmarried mothers does not necessarily indicate the percentage of children living with a single parent, as some unmarried parents may choose to live together and raise their children as a family. Therefore, looking at the percentage of children living with a single parent provides a more accurate representation of the situation.

According to the US Census Bureau's 2020 report, around 25% of American children under 18 live with a single parent. This percentage has increased over the years, with 22% of children living with a single parent in 2000 and 19% in 1980. The reasons for single-parent households vary but can include divorce, separation, death of a spouse, or choice.

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a. The handkerchief symbolizes love and betrayal in "Othello."

b. The song "Willow" represents innocence and impending tragedy.

c. The candle signifies light, hope, and the transient nature of life, often serving as a metaphor for enlightenment and illumination.

The handkerchief, the song "Willow," and the candle are all symbols in the context of the question. Here is the significance of each symbol:
1. The handkerchief: In William Shakespeare's play "Othello," the handkerchief is a symbol of love, trust, and fidelity. It represents the relationship between Othello and his wife, Desdemona. Initially, Othello gives the handkerchief to Desdemona as a token of his love. However, when it goes missing, Othello becomes suspicious and accuses Desdemona of infidelity. The handkerchief's significance lies in its ability to reveal Othello's insecurities and ignite jealousy, ultimately leading to tragic consequences.

2. The song "Willow": The song "Willow" is sung by Desdemona in Act IV, Scene III of "Othello." It serves as a symbol of Desdemona's innocence, vulnerability, and impending doom. Desdemona sings the song while preparing for bed, unaware of the impending tragedy. The lyrics of the song reflect her lament for lost love and foreshadow her impending death. The significance of the song lies in its portrayal of Desdemona's state of mind and her resignation to her fate.

3. The candle: The candle is a symbol of light, truth, and goodness in "Othello." It represents Desdemona's purity and the truth that eventually emerges. In Act V, Scene II, Emilia, Desdemona's maid, discovers the truth about the handkerchief and exposes Iago's deceit. The candle is used metaphorically to symbolize the revelation of truth and the exposure of darkness. It signifies the moment when the truth shines through, bringing justice and exposing the villainy of Iago.

These symbols contribute to the themes of love, trust, betrayal, innocence, and truth in the play "Othello." They enhance the dramatic tension and add depth to the characters and their relationships.

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We will have the following:

We will calculate the total charge as follows:

So, the total charge will be:

So, the total charge is approximately $352.

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

Answer:

I think the answer is 255cm squared

Step-by-step explanation:

If you look at the shape it has 2 shapes. A rectangle and a triangle.

17-10 to get the height of the triangle = 7

22-12 to get the base of the triangle = 10

The area to find a triangle is 1/2 * b * h

= (7 *10) / 2

= 35

To find the rectangle =

22 * 10

= 220

To find the area of the whole thing =

35 (triangle) + 220 (rectangle) = 255cm squared

Answer:

255 cm^

Step-by-step explanation:

If you cut your shape into a triangle and rectangle...or a trapezoid and a rectangle, then add the areas together.

Area of a rectangle is just length × width.



Area of a triangle is:

A = 1/2bh

Area of a trapezoid is:

A = 1/2(b1 + b2)

see image to see two different ways to cut the whole shape into two pieces. Then we calculate the total by adding the areas of the parts.

see image.

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

Answer:

The answer is 7212 views

Step-by-step explanation:

So, For the first day the number of views is 390

Second Day

30% increased of total views

390 × 30 ÷ 100 = 11.7 = 12

390 + 12 = 402

Third Day

30% increased of total views

402 × 30 ÷ 100 = 120.6 = 121

402 + 121 = 523

Fourth Day

30% increased of total views

523 × 30 ÷ 100 = 156.9 = 157

523 + 157 = 680

Fifth Day

30% increased of total views

680 × 30 ÷ 100 = 204

680 + 204 = 884

Sixth Day

30% increased of total views

884 × 30 ÷ 100 = 265.2 = 265

884 + 265 = 1149

Seventh Day

30% increased of total views

1149 × 30 ÷ 100 = 344.7 = 345

1149 + 345 = 1494

Eight Day

30% increased of total views

1494 × 30 ÷ 100 = 448.2 = 448

1494 + 448 = 1942

Ninth Day

30% increased of total views

1942 × 30 ÷ 100 = 582.6 = 583

1942 + 583 = 2525

Tenth Day

30% increased of total views

2525 × 30 ÷ 100 = 757.5 = 758

2525 + 758 = 3283

Eleventh Day

30% increased of total views

3283 × 30 ÷ 100 = 984.9 = 985

3283 + 985 = 4268

Twelth Day

30% increased of total views

4268 × 30 ÷ 100 = 1280.4 = 1280

4268 + 1280 = 5548

Thirteenth Day

30% increased of total views

5548 × 30 ÷ 100 = 1664.4 = 1664

5548 + 1664 = 7212

Thus, Total views did the video get over the course of the first 13 days is 7212 Views.

-TheUnknownScientist 72

Answer:

Step-by-step explanation:

78

The roots are determined as m₁ = -1 and m₂ = -2.

The roots are determined as m₁ = -1 and m₂ = -2. Now, using the method of variation of parameters, we can find the particular solution y_p for the nonhomogeneous part of the differential equation y′′ + 3y′ + 2y = 1/4 + e^x.

To find y_p, we assume the particular solution has the form y_p = u₁(x) * y₁(x) + u₂(x) * y₂(x), where y₁ and y₂ are the solutions to the homogeneous equation (eigenvectors) and u₁(x) and u₂(x) are functions to be determined.

The Wronskian determinant is given by W(y₁, y₂) = y₁ * y₂' - y₁' * y₂. Evaluating this determinant, we have W(y₁, y₂) = e^(-4x).

The particular solution is then found as follows:

u₁(x) = -∫((1/4 + e^x) * y₂(x))/W(y₁, y₂) dx

u₂(x) = ∫((1/4 + e^x) * y₁(x))/W(y₁, y₂) dx

After determining u₁(x) and u₂(x), the particular solution y_p is substituted back into the original differential equation, and the complementary function y_c is added to obtain the general solution y = y_c + y_p.

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Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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If a set of data has a normal distribution with a mean of 50 and a standard deviation of 8. the percent of data within the interval less than 50 is; C. 50%.

Based on the details given the percent of data within the interval less than 50 is not 34% or 68% or 97.5% but rather the percent of data  is 50%.

The reason why it is 50% is that  the mean is 50 in which the data has a normal distribution, 50 is the center of the distribution.  Based on this half the data falls above the mean and half the data falls below the mean.

Therefore the correct option is C.

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Answer:

Choice 3

Step-by-step explanation:

The block is rotating counterclockwise 90º each time. If you visualize the cube you can think of the triangle rotating and the circle being on the face adjacent to the triangle's base.

Step-by-step explanation:

The next block should have the arrow facing toward the front of the box with the circle on the left side unseen.

Answer:

There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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a. TRUE. The given Lagrange multipliers indicate that there is no power transfer on line 1-3, while line 1-2 is utilized to its maximum capacity.

b. TRUE. In Ontario, the Independent Electricity System Operator (IESO) is responsible for generation scheduling and dispatch instructions.

c. FALSE. A firm transmission right (FTR) is beneficial to the holding party when the marginal price at the injection node is lower than the marginal price at the extraction node.

a. The Lagrange multipliers associated with transmission line capacities provide information about the utilization of each line. In this case, γ1-2 = -7 $/MWh indicates a negative value, suggesting congestion and maximum utilization on line 1-2. Similarly, γ1-3 = 0 $/MWh indicates no congestion or power transfer on line 1-3. Therefore, the statement is TRUE.

b. In Ontario, the IESO is responsible for managing the electricity system, including generation scheduling and dispatch instructions. They coordinate and optimize the generation and dispatch of electricity to meet demand. Therefore, the statement is TRUE.

c. The statement is FALSE. A firm transmission right (FTR) is beneficial to the holding party when the marginal price at the extraction node is higher than the marginal price at the injection node. This allows the holder of the FTR to profit from price differences between the nodes. When the marginal price at the extraction node is lower than the injection node, the FTR may not provide significant financial benefits. Therefore, the correct statement is that an FTR is beneficial when the marginal price at the injection node is lower than the extraction node.

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The Original price of the bracelet, before tax, is $12.

Let's assume that the original price of the bracelet is x dollars.

The sales tax is 6%, which means that the tax paid is 6/100 * x = 0.06x dollars.

We know that Casey paid $0.72 in sales tax, so we can set up the equation:

0.06x = 0.72

Solving for x, we get:

x = 0.72/0.06

x = 12

Therefore, the original price of the bracelet, before tax, is $12.

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Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

According to the Question,

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

thus, √(x + 8) − √(x − 4) = 2  

on Solving we get,

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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To rewrite the iterated integral using five different orders of integration, we need to consider all the possible orders of integration for the given function g(x, y, z). Here are the five different orders:

1. dz dy dx: ∫∫∫ g(x, y, z) dz dy dx
2. dz dx dy: ∫∫∫ g(x, y, z) dz dx dy
3. dy dz dx: ∫∫∫ g(x, y, z) dy dz dx
4. dy dx dz: ∫∫∫ g(x, y, z) dy dx dz
5. dx dz dy: ∫∫∫ g(x, y, z) dx dz dy

Remember that the order of integration can affect the complexity of the calculation, so choose the one that simplifies the problem the most based on the given function and limits of integration.

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To rewrite the iterated integral using five different orders of integration, we need to consider all the possible orders of integration for the given function g(x, y, z). Here are the five different orders:

1. dz dy dx: ∫∫∫ g(x, y, z) dz dy dx
2. dz dx dy: ∫∫∫ g(x, y, z) dz dx dy
3. dy dz dx: ∫∫∫ g(x, y, z) dy dz dx
4. dy dx dz: ∫∫∫ g(x, y, z) dy dx dz
5. dx dz dy: ∫∫∫ g(x, y, z) dx dz dy

Remember that the order of integration can affect the complexity of the calculation, so choose the one that simplifies the problem the most based on the given function and limits of integration.

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The ratio of flutes to tubas in a middle school band is 5 to 2, which represents the number of flutes for every 2 tubas in the band. This ratio can be written in three different ways to express the same relationship between the number of flutes and tubas:

5:2 - This is the fraction form of the ratio, where the number of flutes is written before the colon and the number of tubas is written after the colon.

5/2 - This is the fraction form of the ratio, where the numerator represents the number of flutes and the denominator represents the number of tubas.

2.5 flutes per tuba - This is the rate form of the ratio, where the number of flutes is written as the number of flutes per tuba. This way of expressing the ratio is commonly used to show the average number of flutes for every 1 tuba in the band.

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Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What you wrote is not the same thing as what the question is, or at least I don't think so. I'll answer the printed question.

First of all, the 13 is what separates each of the terms. In other words 7 is the first term. 13 must be raised to the n - 1 power.

It is written like this

an = 7 * 13^(n - 1)

you want a1 to be 7. The only way that can happen is if 13^0 which gives you 1.

So the correct answer is C

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.