A train travelled along a track in 120 minutes

Answer:

measurement square meter

Step-by-step explanation:

thats good answer

sana po makatulong po sa inyo

po....................

Answer:

d: y=5x

Step-by-step explanation:

Since we know a few points: (2,10), (3,15), (4,20), we can use two of them to first find the slope. The equation for the slope is (Increase in y)/(increase in x).

1. Slope between (2,10) and (3,15) is 5/1 which is 5. So the slope will be 5.

2. With the slope, we know that our equation will be: y=5x+b. To find b, we can replace x and y with another point. 20 = 5(4)+b. --> 20 = 20 +b. Now we know that b equals 0.

Our final equation will be y = 5x.

RECHECKING!

I'll recheck whether my answer is right or not using Desmos (A online graphing calculator).

I added an image down below, and I drew the points in blue. This shows that since the graph crosses all three points, it is correct.

WHY y=1/5x IS NOT CORRECT (based on your comments)

If you look at the points, the relationship between x and y is not 1/5. If you multiply something from x, it should become 10.

--> 2 times __ = 10

--> 3 times __ = 15

--> 4 times __ = 20

And clearly, __ will be 5. If it becomes 1/5, we won't get the right number of y.

This is why y=1/5 is not correct.

Hope this helps!

The mean of the set is \(\frac{5}{18}\).

'The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.'

According to the given problem,

Total of the given numbers = \(\frac{1}{3} +\frac{1}{12} +\frac{1}{3} +\frac{1}{4} +\frac{7}{18}\)

                                             = \(\frac{12+3+12+9+14}{36}\)

                                             = \(\frac{50}{36}\)

Now, number of values = 5

Mean = \(\frac{Sum of the values}{Number of values}\)

⇒ Mean  = \(\frac{\frac{50}{36} }{5}\)

⇒ Mean = \(\frac{5}{18}\)

Hence, we can conclude that the mean of the following set is \(\frac{5}{18}\).

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The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

We have,

To find the three consecutive prime numbers with a sum that is a multiple of 5 and each less than 100, start by listing the prime numbers less than 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Check each combination:

(2, 3, 5): Sum = 2 + 3 + 5 = 10 (which is a multiple of 5)

(3, 5, 7): Sum = 3 + 5 + 7 = 15 (which is a multiple of 5)

(5, 7, 11): Sum = 5 + 7 + 11 = 23 (not a multiple of 5)

(7, 11, 13): Sum = 7 + 11 + 13 = 31 (not a multiple of 5)

(11, 13, 17): Sum = 11 + 13 + 17 = 41 (not a multiple of 5)

(13, 17, 19): Sum = 13 + 17 + 19 = 49 (which is not a multiple of 5)

(17, 19, 23): Sum = 17 + 19 + 23 = 59 (not a multiple of 5)

(19, 23, 29): Sum = 19 + 23 + 29 = 71 (not a multiple of 5)

(23, 29, 31): Sum = 23 + 29 + 31 = 83 (not a multiple of 5)

(29, 31, 37): Sum = 29 + 31 + 37 = 97 (not a multiple of 5)

(31, 37, 41): Sum = 31 + 37 + 41 = 109 (which is not a multiple of 5)

(37, 41, 43): Sum = 37 + 41 + 43 = 121 (which is not a multiple of 5)

(41, 43, 47): Sum = 41 + 43 + 47 = 131 (not a multiple of 5)

(43, 47, 53): Sum = 43 + 47 + 53 = 143 (which is not a multiple of 5)

(47, 53, 59): Sum = 47 + 53 + 59 = 159 (which is not a multiple of 5)

(53, 59, 61): Sum = 53 + 59 + 61 = 173 (not a multiple of 5)

(59, 61, 67): Sum = 59 + 61 + 67 = 187 (not a multiple of 5)

(61, 67, 71): Sum = 61 + 67 + 71 = 199 (not a multiple of 5)

(67, 71, 73): Sum = 67 + 71 + 73 = 211 (not a multiple of 5)

(71, 73, 79): Sum = 71 + 73 + 79 = 223 (not a multiple of 5)

(73, 79, 83): Sum = 73 + 79 + 83 = 235 (which is a multiple of 5)

(79, 83, 89): Sum = 79 + 83 + 89 = 251 (not a multiple of 5)

(83, 89, 97): Sum = 83 + 89 + 97 = 269 (not a multiple of 5)

Thus,

The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

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Answer:

The correct answer is:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.

This is higher than Christopher's by 600-550=$50 per month.

Answer:

1 year data analysis of input and output

number 15: is 75

number 16: is 56

Step-by-step explanation: 7+8(14−6)+4

=75

2(52)+(2)(3)

=56

Answer for question 15 is 75. Answer for question 16 is 103

Step-by-step explanation:

Follow Pemdas

Answer:

obviously the answer is Zero (0)

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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Step-by-step explanation:

I think it will help you.

Look at the example

Let's use mid-term splitation

\(\\ \rm\rightarrowtail 6x^2-5x-6\)

\(\\ \rm\rightarrowtail 6x^2+4x-9x-6\)

\(\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)\)

\(\\ \rm\rightarrowtail (2x-3)(3x+2)\)

Answer:

Triangle L'M'N' is an enlargement of triangle LMN

If the Circle Line travels clockwise around a circular track with a radius of 5 kilometers, you are approximately 24.22 kilometers away from your original starting position.

To determine how many kilometers away you are from your original starting position, we can use geometry and the Pythagorean theorem.

First, we need to find the distance you traveled on the Circle Line. Since you traveled 3/4 of the way around the circular track, we can find the distance traveled by using the formula for the circumference of a circle:

C = 2πr = 2π(5 km) ≈ 31.42 km

So, you traveled 3/4 of the circumference, or:

d = (3/4)C = (3/4)(31.42 km) ≈ 23.56 km

Next, we need to find the distance you traveled on the Town Line, which is 7 kilometers south.

Now, we can use the Pythagorean theorem to find the distance between your current location and your original starting position. Since you traveled on a circular track, your original starting position is the center of the circle, and your current location is the endpoint of the two segments you traveled.

The distance between them is the hypotenuse of a right triangle with legs of 5 km (the radius of the circle) and 23.56 km (the distance you traveled on the Circle Line). Using the Pythagorean theorem, we get:

d = √(5^2 + 23.56^2) ≈ 24.22 km

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If two angles are complementary, then the

sum of their measures is 90 degrees.

We can find the m<B by taking 90 minus the measure of <A.

So here, we have 90 - 15 which is 75.

So m<A is 75 degrees.

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

look it up onhere

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

1% of 70 is 0.7

0.7 x 80 is 56

Given:

The polynomial is

\(4x+2x^5-6x^3+2\)

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

\(p(x)=4x+2x^5-6x^3+2\)

The standard form of the polynomial is

\(p(x)=2x^5-6x^3+4x+2\)

The highest power of x is 5 and 2 is before \(x^5\). The leading coefficient is 2.

Therefore, the standard form of the polynomial is \(2x^5-6x^3+4x+2\) and the leading coefficient is 2.

It would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.

To determine how long it would take to triple your investment with a 14% return, we can use the compound interest formula

Future Value = Present Value × (1 + Interest Rate)ⁿ

In this case, the Future Value is three times the Present Value, the Interest Rate is 14% (or 0.14), and we want to solve for Time.

Let's denote the Present Value as P and the Time as n:

3P = P × (1 + 0.14)ⁿ

Now, we can simplify the equation:

3 = (1.14)ⁿ

To solve for n, we need to take the logarithm of both sides of the equation. Let's use the natural logarithm (ln) for this calculation:

ln(3) = ln((1.14)ⁿ)

Using the logarithmic property, we can bring down the exponent:

ln(3) = n × ln(1.14)

Now, we can solve for t by dividing both sides of the equation by ln(1.14):

n = ln(3) / ln(1.14)

we can find the value of t:

n ≈ 9.4

Therefore, it would take approximately 9.4 years to triple your investment with a 14% return, assuming compound interest.

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Answer:

10403.

Step-by-step explanation:

To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.

After multiplying 101 by 103, we get 10403.

To check our answer, we can verify each point.

10403 is not prime, as it has 2 factors, 101 and 103.

10403 is not square, as the square root of 10403 is 101.9951.

10403 has 2 factors 101 and 103, both of which are greater than 100.

The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.

The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.

a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.

c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.

d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.

In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.

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Step-by-step explanation:

Area of a triangle = 1/2 * base * height

 For this triangle   base =  9 m   height =  8 m

1/2 ( 9 ) ( 8) = 36 m^2

Answer:

0.0049

Step-by-step explanation:

= 10^1÷2/10^1÷4

= 10^1÷4

In the situation of two parallel lines are crossed by a transversal the value of x is calculated to be 12

The value of x is calculated using the knowledge of alternate internal angels and linear pair.

This can also be determined using corresponding angles and linear pair theorem

Using corresponding angles:

angel 115 is equal to the corresponding position at line b. This makes angel 115 and 5x + 5 to form linear pair

The linear pair theorem says that the two angles 5x + 5 and 115 are supplementary

5x + 5 + 115 = 180

5x + 120 = 180

5x = 180 - 120

5x = 60

x = 12

the value of x is solved to be 12

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The total area of the given figure is 34 square meter.

The figure can be divided into two triangles and one rectangle. The triangle at one end is 3 m long and 4 m high, while the triangle at the other end has a base of 4 m and a height of 3 m. The rectangle in between has a length and width of 4 m.

The total area of the triangles is 1/2 ×Base×Height= 1/2×3×4 + 1/2×4×3

= 18 m²

The total area of the rectangles is 4 × 4 = 16 m²

The total area of the figure is 18 + 16 = 34 m²

Therefore, the total area of the given figure is 34 square meter.

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Answer:

identity property of zero

Step-by-step explanation:Got it right on a test

Answer:

Additive identity property

Step-by-step explanation:

Additive identity is a number, which when added to any number, gives the sum as the number itself. It means that additive identity is “0” as adding 0 to any number, gives the sum as the number itself. For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0.

Answer:

10x + 39 - y

Step-by-step explanation:

Answer:

10x - y +39

Step-by-step explanation:

Answer:

The percentage increase in volume of the prism is impossible to find. This is because the current dimension or the diagram from which the dimension of the prism could be determined is not given.

However I will explain the methods to follow in finding this percentage increase, assuming that the current dimension of the prism is given.

Step-by-step explanation:

Assuming the volume the of prism is x ft³. After adding 1 ft to each dimension, the volume becomes y ft³.

The percentage increase = (y/x) × 100

= z%

That is,

Percentage increase = [(New volume) ÷ (Old volume)] × 100

The resulting value, z% is the percentage increase.