Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

To find the vector w, we are given that w · v₁ = -35, w – V₂ = -48, and w – V₃ = 108. We also know that w is in the span of V₁, V₂, and V₃.

From the given information, we can rewrite the equations as follows:

W · v₁ = -35 (Equation 1)
W – V₂ = -48 (Equation 2)
W – V₃ = 108 (Equation 3)

Since w is in the span of V₁, V₂, and V₃, we can express w as a linear combination of these vectors:

W = c₁V₁ + c₂V₂ + c₃V₃ (Equation 4)

Substituting Equation 4 into Equations 2 and 3, we have:

C₁V₁ + c₂V₂ + c₃V₃ - V₂ = -48 (Equation 5)
C₁V₁ + c₂V₂ + c₃V₃ - V₃ = 108 (Equation 6)

We know that the vectors V₁, V₂, and V₃ are orthogonal, which means their dot products are zero. Using this property, we can simplify

Equations 5 and 6:

C₁V₁ · V₂ + c₂V₂ · V₂ + c₃V₃ · V₂ = -48 (Equation 7)
C₁V₁ · V₃ + c₂V₂ · V₃ + c₃V₃ · V₃ = 108 (Equation 8)

Since V₁ · V₂ = 0, V₂ · V₂ = 24, V₃ · V₃ = 36, we can substitute these values into Equations 7 and 8:

24c₂ = -48 (Equation 9)
36c₃ = 108 (Equation 10)

Solving Equations 9 and 10, we find c₂ = -2 and c₃ = 3.

Finally, substituting c₁ = 1, c₂ = -2, and c₃ = 3 into Equation 4, we have:

W = V₁ + (-2)V₂ + 3V₃

Therefore, w = V₁ - 2V₂ + 3V₃.


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The answer is True. Researchers must carefully consider their sampling methods and statistical techniques to ensure that their results are reliable and valid. Overall, using sample results to estimate unknown population statistics is a common practice in statistics and plays an important role in research and decision-making processes.

In statistics, researchers often use sample data to make inferences about a larger population. This is because it is often impractical or impossible to collect data from every single individual in a population. Instead, researchers select a smaller group, known as a sample, and use statistical methods to analyze the data collected from this group. By doing so, they can estimate or infer characteristics of the larger population. However, it is important to note that the accuracy of these estimates depends on the size and representativeness of the sample, as well as the statistical methods used.

Taking a sample allows researchers to save time and resources while still obtaining reliable information about the population. The accuracy of these estimates depends on factors such as sample size and sampling methods. In summary, using sample results to estimate an unknown population statistic is a common and useful practice in research.

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Answer:-1

Step-by-step explanation: Just solve for x

Answer:

The equation is C = 5h + 3

After 5 hours, Nicole will make $28.

Step-by-step explanation:

The equation is C = 5h + 3 because the flat fee of $3 represents the y-intercept of the equation and the $5 per hour is the slope. Therefore, since in the equation y = mx + b, m is the slope and b is the y-intercept, you just substitute m for 5 and b for 3. Then, to find how much money Nicole will make in 5 hours, you just substitute the value, h = 5 into the equation that we arrived at. Thus, C = 5*5 + 3 which is 25 + 3 which is 28.

Hope this helps :)

Answer:

Eva spends £35 in a month.

Step-by-step explanation:

We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.

We are looking to find out how much money does she spend in a month.

To calculate this, we can use the following formula:

Spent money = Allowance - (Allowance / (5 + 1))

Plugging in the known values:

Spent money = 42 - (42 / (5 + 1))

Spent money = 42 - (42 / 6)

Spent money = 42 - 7

Spent money = 35

So, Eva spends £35 in a month.

Answer: $36.00

For every extra pizza, it will cost eight dollars more. So, the fourth pizza will cost $36.00.

Plz mark brainliest:)

Answer:

3

Step-by-step explanation:

Total 108 chips were in the both bags.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

10% of chips in the first bag is 6.

To find the total chips in the first bag:

6 = 10 x total number of chips in the first bag / 100

total number of chips in the first bag = 600/10

total number of chips in the first bag  = 60

25% of chips in the second bag is 12.

To find the total chips in the second bag:

12 = 25x total number of chips in the second bag / 100

total number of chips in the second bag = 1200/25

total number of chips in the second bag  = 48

Now, total chips in the both bags = 60 + 48 = 108

Therefore, total 108 chips were in the both bags.

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(a) To out the GCF from the polynomial and identify the category in which the remaining polynomial best fits, we need to first find the greatest common factor of all the terms in the polynomial. Once we have the GCF, we can divide it out from each term and write the remaining polynomial in factored form.

We can then analyze the factors to determine which category the polynomial belongs to.

(b) To factor the polynomial completely, we need to use the factored form from part (a) and continue factoring until we have written the polynomial as a product of irreducible factors.

Explanation:

(a) Let's consider an example polynomial:

12x^3 - 6x^2 + 18x

To find the GCF of this polynomial, we can look at the coefficients and the variables in each term and identify the largest factor that they have in common. In this case, the GCF is 6x, since it is a factor of each term:

12x^3 = 6x * 2x^2
6x^2 = 6x * x
18x = 6x * 3

Now we can divide out the GCF from each term:

12x^3 - 6x^2 + 18x = 6x(2x^2 - x + 3)

The remaining polynomial is a trinomial, which we can analyze to determine if it fits any of the categories listed. In this case, the trinomial is not a perfect square trinomial, a difference of squares, a sum of squares, a difference of cubes, or a sum of cubes. We can use either the ac-method or trial-and-error to factor the trinomial further.

(b) Using the factored form from part (a), we have:

12x^3 - 6x^2 + 18x = 6x(2x^2 - x + 3)

To factor the trinomial further, we can use the ac-method:

2x^2 - x + 3

a = 2, b = -1, c = 3

ac = 2 * 3 = 6
b = -1

We need to find two numbers that multiply to ac (6) and add to b (-1). The only possible pair is -2 and -3, since (-2) * (-3) = 6 and (-2) + (-3) = -5.

2x^2 - x + 3 = 2x^2 - 2x - x + 3
= 2x(x - 1) - 1(x - 3)
= (2x - 1)(x - 3)

Therefore, the polynomial 12x^3 - 6x^2 + 18x factors completely as:

12x^3 - 6x^2 + 18x = 6x(2x^2 - x + 3) = 6x(2x - 1)(x - 3)

Conclusion:

To factor a polynomial, we need to first find the GCF and divide it out from each term to write the remaining polynomial in factored form. We can then analyze the factors to determine which category the polynomial belongs to, if any. If the polynomial does not fit any of the categories, we can use the ac-method or trial-and-error to factor it further. To factor a polynomial completely, we need to continue factoring until we have written it as a product of irreducible factors.

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Answer:

none

Step-by-step explanation:

all the numbers are relatively close to each other, so there is no significant gap between each.

Three-digit addition and subtraction with regrouping involves adding or subtracting numbers with three digits (numbers between 100 and 999) while carrying or borrowing values from one place value to another.

Addition is a basic arithmetic operation that involves combining two or more numbers or quantities to find the total amount or sum. It is often denoted by the symbol "+". For example, if we add 2 and 3, we get a sum of 5.

For example, let's say we want to add 357 and 468:

In this example, we first add the ones place (7 + 8 = 15), which gives us a sum of 5 and carry-over of 1. We then add the tens place (5 + 6 = 11) and add the carry-over from the ones place, which gives us a sum of 2 and carry-over of 1. Finally, we add the hundreds place (3 + 4 = 7) and add the carry-over from the tens place, which gives us a final sum of 825.

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Answer:

Option (1)

Step-by-step explanation:

By the property of the liquids,

"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."

In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.

Volume of a hemisphere = \(\frac{2}{3}\pi r^{3}\)

Where 'r' = radius of the hemisphere

Radius of the cup = \(\frac{16.51}{2}\) cm

Volume of the hemisphere = \(\frac{2}{3}\pi (\frac{16.51}{2} )^{3}\)

                                             = \(\frac{2}{3}\pi (8.255)^3\)

                                             = 1177.5778

                                             ≈ 1177.58 cm³

Therefore, Option (1) will be the answer.  

Answer:

x=21

Step-by-step explanation:

add 5 to both sides. it gives u 21

Answer:

40

Step-by-step explanation:

56/7 = 8,

5 x 8 = 40, therefore

5:7 x 8:8 = 40:56

Therefore there are 40 white horses

Answer:

35

I hope this helps bro

- Alie♥

the answer is 30 because 6 times 5 equals 30 .

Answerjej:

Step-by-step explanation:

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

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The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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Answer:

I hope this helps :)

Step-by-step explanation:

- Least:  -3

-  -2.5

-  -3/4

-  -3/8

-  1/4

-  3.1

-  16/5

- Greatest: 6

The arrangement is -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6.

Arranged in a series that begins with the least or smallest and ends with the greatest or largest.

Given:

16/5 -3 6 3.1 -2.5 1/4 -3/4 -3/8

We can also write it as

3.2  -3  6  3.1  -2.5  0.25  -.075  -0.375

the smallest number is -3

and the largest number is 6

Hence, the arrangement is as follows : -3, -2.5, -0.75, -0.375, 0.25, 3.1, 3.2, 6

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The perimeter of the square is 52 units.

In this question,

the points (1, -2) and (-4, 10) are adjacent vertices of a square.

We need to find the perimeter of the square

The side length of a square is the distance between given two points.

Let a be the side length of the square.

\(a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13\)

The side length of the square is 13 units.

so, the perimeter of a square would be,

P = 4a

P = 4 × 13

P = 52 units

Therefore, the perimeter of the square is 52 units.

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In linear equation, 3   rounds does Hunter play .

What are a definition and an example of a linear equation?

= \(2\frac{1}{2} - \frac{1}{4}\)

= 9/4

= \(\frac{9/4}{3/4}\)

= 3

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The truth set of the proposition \(2|x ^ 3 x\)over U is {2, 6, 8, 12}. This means that the values 2, 6, 8, and 12 are the elements of the set U that satisfy the given proposition.

In the proposition 2|\(x ^ 3 x\), the symbol "|" represents "such that" or "such that it divides," and "^" denotes exponentiation. So, the proposition can be read as "2 divides x cubed times x."

To find the truth set, we substitute each element of U into the proposition and check if it holds true.

For instance, if we substitute 2 into the proposition, we get 2 | (2^3) x 2, which simplifies to 2 | 16 x 2. Since 2 divides 32, this proposition is true for 2.

Similarly, if we substitute the other elements of U, we find that the proposition is true for 6, 8, and 12.

Therefore, the truth set of the proposition 2|x ^ 3 x over U is {2, 6, 8, 12}, and option b. {2, 6, 8, 12} is the correct answer.

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Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.

The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14

Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.

To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;

\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)

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To find the width of the rectangle, we need to use the formula for the perimeter of a rectangle, which is:

Perimeter = 2(length + width)

We can set this equal to the given expression for the perimeter:

14x^3 + 12x^2 - 10x + 10 = 2[(x^4 - x^3 + x^2 - x + 1) + width]

Simplifying the right-hand side, we get:

14x^3 + 12x^2 - 10x + 10 = 2x^4 - 2x^3 + 2x^2 + (-2x + 2) + 2width

Combining like terms, we have:

2width = 2x^4 - 2x^3 + 16x^2 - 8x + 8

Dividing both sides by 2, we get:

width = x^4 - x^3 + 8x^2 - 4x + 4

Therefore, the width of the rectangle is x^4 - x^3 + 8x^2 - 4x + 4.

The formula for finding the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width of the rectangle.

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The number of unique ways to complete a quiz with 5 questions and 4 possible answers to each question is \(4^5\), or 1024.

This can be calculated using exponential notation, which states that a number raised to the power of another number is equal to the number multiplied by itself that many times. In this case, 4 to the power of 5 is equal to 4 x 4 x 4 x 4 x 4, or 1024.

In other words, the number of unique ways to answer a quiz with 5 questions and 4 possible answers to each question is equal to 4 multiplied by itself 5 times. This can also be written using the exponential notation as \(4^5\). There are 1024 unique ways to complete a quiz with 5 questions and 4 possible answers to each question.

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Answer:

all right angles are congruent (90 degrees)

Step-by-step explanation:

I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement

\(\displaystyle\\Answer:\theta=\frac{\pi }{2}+\pi n.\)

Step-by-step explanation:

\(\displaystyle\\7*cosec^2\theta-9*cot^2\theta=7\\7-7*cosec^2\theta+9*cot^2\theta=0\\7-\frac{7}{sin^2\theta}+9*\frac{cos^2\theta}{sin^2\theta} } =0\\\frac{7*sin^2\theta-7+9*cos^2\theta}{sin^2\theta} =0\\\frac{-7*(1-sin^2\theta)+9*cos^2\theta}{sin^2\theta} =0\\\frac{-7*cos^2\theta+9*cos^2\theta}{sin^2\theta} =0\\\frac{2*cos^2\theta}{sin^2\theta}=0\\\)

\(2*cot^2\theta=0\\Divide\ the\ right\ and\ initial\ parts\ by\ 2:\\cot^2\theta=0\\cot\theta=0\\\theta=\frac{\pi }{2}+\pi n\ \ \ (n=0,\ 1,\ 2,\ 3\ ...).\)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = π\(r^{2}\)h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

The base area = π\(r^{2}\) = π\(3.5^{2}\) = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

The base area = π\(r^{2}\) = π\(2.7^{2}\) = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79  cubic in

Hence, Cylinder B has the greater volume

The inequality representing the given statement is 3s + 4d ≥ 320, so option B is correct, and the number the minimum number of deluxe flashlights they would need to sell in order to make a profit of $320 is 43.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

The profit company makes on a standard flashlight = $3,

The profit company makes on a deluxe flashlight = $4,

The company wants to make at least a profit of $320 dollars,

Assume the number of the standard flashlights is s and the number of the deluxe flashlights is d,

The inequality can be written as shown below,

The profit company makes on a standard flashlight × the number of the standard flashlights + The profit company makes on a deluxe flashlight × the number of the deluxe flashlights ≥ 320

3s + 4d ≥ 320

Solve the inequality by putting value, s = 50

50 × 3 + 4d ≥ 320

4d ≥ 320 - 150

d ≥ 170 / 4

d ≥ 42.5 or 43

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The given content is an example of sweepstakes.

What is a sweepstake?

A sweepstake is a type of contest in which a prize or prizes are given to the winner or winners. Sweepstakes began as a type of lottery tied to the sale of a product. Sweepstakes became strictly "No purchase necessary to enter or win" and "A purchase will not increase your chances of winning" under these laws, especially because many sweepstakes companies skirted the law by stating only "no purchase necessary to enter," removing the consideration (one of the three legally required elements of gambling) to prevent sweepstakes abuse.

Based on the above definition,

we can conclude that the given question is an example of a sweepstake.

Hence, this is an example of sweepstakes.

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Answer:

The required answer is 54.

Step-by-step explanation:

Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .

In such kind of problems , just substitute the given values of a and b to get the required answer .

So here ,

= 2a³ b⁴.

= 2 × (3)³ × (-1)⁴.

= 2 × 27 × 1 .

= 54

9Answer:

54

Step-by-step explanation:

2(3)^3 x (-1)^4

2 x (3^3) x 1

2 x 27 x 1

54