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Answer:

2/8, 3/12, 4/16 and etc

Step-by-step explanation:

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number

Answer:

289m = 2,890dm

Step-by-step explanation:

you multiply the meters by 10

Answer:

The sum of 5 times a number x and 8

Step-by-step explanation:

It could also be written as:

The sum of the product of 5 and a number x and 8

Answer:

4

Step-by-step explanation:

(25-18+5)/4=4

(insert the variables)

Answer:

your anwser is 1085

Step-by-step explanation:

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Answer:

Step-by-step explanation:

The distance between two points is

d^2=(y2-y1)^2+(x2-x1)^2

D) points (0,0) and (9,12)

d^2=(9-0)^2+(12-0)^2

d^2=81+144

d^2=225

d=15

E) points (1,2) and (-3,5)

d^2=(-3-1)^2+(5-2)^2

d^2=16+9

d^2=25

d=5

A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.

Some key features regarding the Random Variable are-

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We are asked to do the following division of polynomials:

To do this we will rearrange the terms in the following form:

Now, we need to find a term that when multiplied by "x" and subtracted from the dividend we can cancel out the x cubed, that term is x squared, therefore, we get:

Now we add like terms and we get:

Now, we need to find a term that we can use to cancel out the x^2y. That term is "xy". Using the same procedure as before we get:

Now, we multiply by a term that cancels out the "y" cubed. That term is y^2. Using the same procedure we get:

Therefore, we have that the quotient is:

Answer:

Step-by-step explanation:

\(sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x\)

The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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Answer:

y = 1/2x + 1.5

Step-by-step explanation:

first find the slope and then put it in y= x+b

you can see that to get from (-1,1) to (1,2) you must go up one and over two

slope is = rise over run --> rise 1 and run 2

the b is were it hit threw the y intercept

The   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

We need to solve the system of equations using elimination method

-3x + 2y = 12....... equation 1

9x + y = 12...........equation 2

Multiply the 2nd equation with 2

18x + 2y = 24 ............equation 3

Now, subtracting equation 3 from equation 1

- 3x - 18x + 2y - 2y = 12 - 24

-21x = 12

x = 12/21 = 4/7

-3(4/7) + 2y = 12

-12/7 + 2y = 12

2y = 12 + 12/7

2y = 96/7

y = 48/7

Therefore, the   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

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Answer:

(3, 9)

Step-by-step explanation:

I did the test

Answer:

-0.95

Step-by-step explanation:

Divide the percent by 100 and since you are decreasing it would be a negative.

In order to find the area of the given rectangle, we can use square-inch tiles or rulers. the area of the rectangle is 30 square inches. The length of the rectangle is 15 inches, width is 2 inches then  area of 30 square inches.

Using square-inch tiles:

We can cover the rectangle with square-inch tiles and count the total number of tiles to find the area. Each tile represents one square inch, and the area of the rectangle is equal to the number of tiles covering it. We can start by covering one side of the rectangle with tiles, and then count the number of tiles used. The length of the rectangle is 15 inches, so we need to use 15 tiles to cover one side. We can then cover the other side with the same number of tiles, which gives us a total of 30 tiles. Therefore, the area of the rectangle is 30 square inches.

Using a ruler:

We can measure the length and width of the rectangle using a ruler and then multiply the two measurements to find the area. The length of the rectangle is 15 inches, and the width is 2 inches. Multiplying these values gives us an area of 30 square inches.

Using circular counters:

Circular counters are not an appropriate tool to find the area of a rectangle because they are circular in shape and cannot cover the entire surface of the rectangle.

In conclusion, to find the area of a rectangle, we can use appropriate tools such as square-inch tiles or rulers. These tools allow us to accurately measure the length and width of the rectangle and calculate the area by counting or multiplying the measurements.

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Answer

5×3−8÷2×3=3

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

ans: The line passes through the point (0,13)

Step-by-step explanation:

(0,13) is Y-intercept

Answer:

The answer is C the line passes through (0,13)

Step-by-step explanation:

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

Answer:

she will need 18 cups of milk

Answer:

The slope is 1/2

Step-by-step explanation:

The rate of y over the rate of x so it would be y/x. You put the equation y2-y1/x2-x1

Which would look like -3-3/-4-8= -6/-12=6/12 and then you simplify it to 1/2

From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.

When we say two triangles are congruent to each other, it means that the corresponding sides and corresponding angles of both triangles are equal.

Thus, if triangle ABC is congruent to triangle EDF, then we can say that;

Angle A ≅ Angle E

Angle B ≅ Angle D

Angle C ≅ Angle F

Segment AB ≅ Segment ED

Segment AC ≅ Segment EF

Segment BC ≅ Segment DF

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Answer:

165cm

Step-by-step explanation:

Answer:

-5, 4

Step-by-step explanation:

When finding the slope of all the points they all are supposed to equal -2. (-5, 4) slope is 2, so that is why it is incorrect.

Hope this helps! :)

If the diagonals are congruent and perpendicular, that means they must form 4 similar triangles! and thus the figure is a square (We join the 4 triangles and get a square)

Answer:

9

Step-by-step explanation:

bcs 3 is the mode you do 3+3

Answer:

3

Step-by-step explanation:

3 is the model value of the given data because it repeats maximum number of time.

Being a listed company on the Jamaica Stock Exchange has three consequences for Derrimon Trading Limited. Firstly, it provides access to additional capital for expansion and growth. Secondly, it increases transparency and accountability to shareholders and the general public. Lastly, it enhances the company's reputation and credibility in the market.

A. Consequences of Derrimon Trading Limited being a listed company on the Jamaica Stock Exchange:

B. Reasons that could have motivated Derrimon Trading Company to list on the exchange:

It's important to note that these are hypothetical reasons and the actual motivations for Derrimon Trading Limited's listing may vary based on their specific circumstances and strategic objectives.

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This means that if the average weight of the men in the elevator is more than 180 lbs, the elevator would be overloaded.

To determine the average weight beyond which the elevator would be considered overloaded, we can follow these steps:
Find the total weight limit for 33 occupants: 5940 lbs.

Divide the total weight limit by the number of occupants to find the average weight per person: 5940 / 33 = 180 lbs.
Now, we need to find the difference between the average weight per person (180 lbs) and the mean weight of the population (166 lbs): 180 - 166 = 14 lbs.
Since we have the difference and the standard deviation (26 lbs), we can now calculate the Z-score:

Z = (difference) / (standard deviation) = 14 / 26 ≈ 0.54.
The average weight beyond which the elevator would be considered overloaded is 180 lbs.

The corresponding Z-score for this weight is approximately 0.54.

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