There will be 1,398 students attending the assembly. During the assembly, our principal is going to be passing out 4 pieces of paper to each student. How many pieces of paper will the principal pass out at the assembly? *

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

n

>

36

/5

Interval Notation:

(

36

/5

,

∞

)

Answer:

The Answer is, (A) Ten less than five times a number is greater than twenty-six.

Step-by-step explanation:

Answer:

by BPT it will be solved

Step-by-step explanation:

CQ/QA=CP/PD

x+2/x=5x+4/3x

by cross multiplication

answer will be 1

Parallel sides are sides that are equidistant from one another. The value of x is 1

Given that:

\(CQ = x + 2\\QA = x\\CP = 5x + 4\\PD = 3x\)

Since:

QR & AB are parallel, and RP & BD are parallel.

Then by theorem of similarities:

\(\frac{CQ}{QA} = \frac{CP}{PD}\)

This gives:

\(\frac{x+2}{x} = \frac{5x + 4}{3x}\)

Multiply both sides by 3x

\(3x \times \frac{x+2}{x} = \frac{5x + 4}{3x} \times 3x\)

\(3 \times (x+2) = 5x + 4\)

Open bracket

\(3x+6 = 5x + 4\)

Collect like terms

\(5x - 3x = 6 -4\)

\(2x = 2\)

Divide both sides by 2

\(x = 1\)

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The distance between two locations on the same line of latitude can be calculated by summing the total distance between the points in degrees and multiplying it by the statute miles per degree for the shared line of latitude.

To calculate the distance in miles between two locations on the same line of latitude, we first need to find the total distance between the points in degrees. In the case of location A, which is 60°N, 30°W, and location B, which is 60°N, 50°E, the total distance between the two points is 80 degrees (50°E - 30°W).

Next, we need to multiply the sum of the degrees by the statute miles per degree for the shared line of latitude. Since the line of latitude is 60°N, we need to determine the statute miles per degree at that latitude.

The Earth's circumference at the equator is approximately 24,901 miles, and since a circle is divided into 360 degrees, the distance per degree at the equator is approximately 69.17 miles (24,901 miles / 360 degrees).

Multiplying the total distance in degrees (80 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 5,533.6 miles.

Similarly, for location C, which is 30°S, 60°W, and location D, which is 30°S, 90°E, the total distance between the points is 150 degrees (90°E - 60°W). Since the line of latitude is 30°S, we use the same statute miles per degree value (69.17 miles).

Multiplying the total distance in degrees (150 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 10,375.5 miles.

Therefore, the distance between locations A and B is approximately 5,533.6 miles, and the distance between locations C and D is approximately 10,375.5 miles, when calculated using the given method.

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Answer:

Using exterior angle theorem, we can find the answer.

x+45+3x = 6x+5

4x+45 = 6x+5

45 = 2x+5

40 = 2x

x = 20

TO FIND <ABC, WE WILL NEED TO FIRST FIND THE EXTERIOR ANGLE.

6x+5

= 6(20)+5

= 120+5

= 125

m<ABC:

180-125               (REASON: linear pair)

= 55

Answer:

4 is expected to be damaged out of the next 20

Step-by-step explanation:

From the observation made, we have that 4 of the toys were damaged and 16 were not damaged

Thus, the probability of having a damaged toy is 4/20 = 1/5

Now, for the next 20; we have 1/5 of them expected to be damaged

So, the expected damaged number out of the next 20 will be:

1/5 * 20 = 4

Answer:

SX = 20

Step-by-step explanation:

the midsegment of a trapezoid is half the sum of the parallel bases, then

\(\frac{UV+SX}{2}\) = TW , that is

\(\frac{40+SX}{2}\) = 30 ( multiply both sides by 2 to clear the fraction )

40 + SX = 60  ( subtract 40 from both sides )

SX = 20

Answer:

To find the area of a triangle given its vertices, we can use the formula:

Area = 1/2 * |(x1*(y2-y3) + x2*(y3-y1) + x3*(y1-y2))|

where (x1,y1), (x2,y2), and (x3,y3) are the coordinates of the three vertices.

Using this formula, we can calculate the area of the triangle with vertices at (5,0), (-3,1), and (2,6) as follows:

Area = 1/2 * |(5*(1-6) + (-3)(6-0) + 2(0-1))|

= 1/2 * |-25 - 18 - 2|

= 1/2 * |-45|

= 22.5

Therefore, the area of the triangle is 22.5 units squared. So the answer is option C: 22.5 units squared.

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The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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The formula is \(P(X = k) = (e^(-λ) * λ^k) / k!\), where X is the random variable representing the number of airplanes, λ is the rate parameter (5 per hour in this case), and k is the number of airplanes we want to detect.

To find the probability of detecting 12 airplanes in the next three hours, we can use the Poisson distribution formula.
In this case, we want to find the probability of detecting 12 airplanes in the next three hours. Since the rate is given as 5 per hour, the rate for three hours will be 5 * 3 = 15.
Now, we can plug in these values into the formula:
\(P(X = 12) = (e^(-15) * 15^12) / 12!\)
Using a calculator, we can evaluate this expression:
\(P(X = 12) ≈ 0.072\), the probability of detecting 12 airplanes in the next three hours is approximately 0.072, or 7.2%.

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Answer:

  120

Step-by-step explanation:

n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.

n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.

The least common multiple of 6 and 40 is 120.

The smallest positive integer n is 120.

_____

Check

120^2/18 = 800

120^3/640 = 2700

Answer:

ZYX=39

ZXY=64

X=1

Step-by-step explanation:

Answer:

  a) 56.25 mph

  b) $1.59/lb

Step-by-step explanation:

The units of the "unit rate" tell you the math operation you need to perform.

Miles per hour (mi/h) is found by dividing miles by hours.

  (450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h

Dollars per pound ($/pound) is found by dividing dollars by pounds.

  ($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound

__

Additional comment

In the context of unit rates, "per" means "divided by."

What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.

Yes, there is a continuous utility function that represents a rational preference relation when it is both continuous and monotone.

In a two-commodity framework, let's assume the two commodities are represented by X and Y. We can construct a diagram with the axes representing the quantities of X and Y. The indifference curves, which represent the bundles of X and Y that yield the same level of utility, can be plotted on this diagram.

Since the preference relation is continuous and monotone, we can draw the indifference curves as smooth, upward-sloping curves without any gaps or jumps. The upward slope reflects the monotonicity, indicating that more of either X or Y is preferred to less.

To represent this preference relation with a continuous utility function, we can assign utility levels to different bundles of X and Y. For example, we can assign a utility level of 1 to a specific bundle (X₁, Y₁), and higher utility levels to bundles that are preferred to (X₁, Y₁).

By assigning utility levels in a continuous manner across the diagram, we can construct a continuous utility function that represents the rational preference relation. This function will map each bundle of X and Y to a corresponding level of utility.

In conclusion, for a rational preference relation that is continuous and monotone in a two-commodity framework, there exists a continuous utility function that represents this preference relation. The utility function can be constructed by assigning utility levels to different bundles of commodities, and the resulting indifference curves on a diagram will be smooth, upward-sloping curves. This relationship between the utility function and the preference relation allows us to mathematically model and analyze the choices and preferences of individuals in economics.

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Answer:

480

Step-by-step explanation:

We want the unit rate in pages per hour, so we divide the number of pages by the number of hours.

1080 pages / 2.25 hours = 480 pages/hour

Answer:

C (all real numbers between -4 and 4)

Step-by-step explanation:

The Domain is defined as the values on the x axis that are in existence for any provided function.

The circle provided only exists for the x values between -4 and 4, therefore making c the answer.

Answer:

The answer is all real numbers between -4 and 4.

Step-by-step explanation:

The domain means the range of x-values, and the minimum is -4 and the maximum is 4, so that is the domain. It can also be written as -4 ≤ x ≤ 4.

Mark as brainliest please

Answer:

18/5

Step-by-step explanation:

6/4 x 12/5

18/5

So, the factor of 4x² 3x 7 is (4x - 1)(x - 7).

To find the factors of an algebraic equation, we can use the method of factoring by grouping. This method involves grouping the first two terms and the last two terms, and then factoring out the greatest common factor (GCF) of each group.

In this case, we have 4x² 3x 7

We can group the first two terms, 4x² and 3x, and factored out the GCF of 4x and 3x, which is x.

Then we can group the last two terms, 3x and 7, and factored out the GCF of 3x and 7, which is 1.

So the factor of 4x² 3x 7 is (4x - 1)(x - 7).

It is the correct factorization of the given polynomial equation.

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Answer:P is 3

Step By step explanation:

p+2p−3=6

3p-3 =6

P=3

Answer:

A: Nonlinear

B: Constant=0, Decreasing=M, Increasing=K

C: 2-3-3

Step-by-step explanation:

1. Linear graph - one with a line that has the same slope all the way through

The line doesn't have the same slope the whole way through because at one part it flattens and also decreases

---------------------------------------------------------------------------------

2. Remember: Increase (up), decrease (down), constant (constant)

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3. In my words, I don't know if they're asking the pattern or technical, but you can add on to the 2 mins walk, 3 mins stop, then 2 mins walk again.

Hope it helps

Answer:

i cant estimate it but i think 4

Answer:

the oldest is Ty and his age is 24

Step-by-step explanation:

Let us assume the billy age be x

Noah age be y

And, Ty age be z

Now according to the question

y + x = 25 ..........(1)

y + z = 20..........(2)

x + z  = 31..............(3)

z = 31 - x

since

y + z = 20

y + 31 - x = 20

y - x = -11 .............(4)

Now solve (1) and (4) equation

So,

y + x = 25

y - x = -11

2y = 36

y = 18

x = 25 - 18

= 7

z = 31-7

= 24

Hence, the oldest is Ty and his age is 24

If you are 25 years of age, your typing speed is equal to 82.8 units.

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that an equation which represents the line of best fit include the following:

y = -1.4x + 117.8

When you are 25 years of age, your typing speed can be calculated as follows;

y = -1.4x + 117.8

y = -1.4(25) + 117.8

y = -35 + 117.8

y = 82.8 units.

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Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

The solution is y = -22/3 of the system of equations.

Now, According to the question:

Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept.

They are the equations of the first order.

Given, y = (2/3)x + 3x

x = -2

We have to find the solution to the given system of equations.

Put x = -2 to find the value of y

y = (2/3)(-2) + 3(-2)

By further calculation

= (-4/3) - 6

By taking LCM

= (-4 - 18)/3

So we get

= -22/3

Therefore, the solution is y = -22/3

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The complete question is this:

What is the solution to the system of equations? y = 2/3 x + 3x, x = -2

Answer:

6 meters

Step-by-step explanation:

the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters

Step-by-step explanation:

2^x < 2x³ + 1 ?

that would mean

x < log2(2x³ + 1)

x < log2(2×(x³ + 1/2))

x < log2(2) + log2(x³ + 1/2)

x < 1 + log2(x³ + 1/2)

x - 1 < log2(x³ + 1/2)

for large x the "-1" and the "+ 1/2" are becoming relatively irrelevant for the inequality.

and the limes of this goes to

x < log2(x³)

which is not true for large x, as the logarithm turns into a very flat curve, while "x" just keeps growing with slope 1 and therefore outpaces the logarithm.

for x = 20 for example, 2^x is already way larger than 2x³.

the "cross-over" point is between x=11 and x=12.

from there on 2^x will quickly become much larger than 2x³ + 1.

The probability of choosing water and Black & White Sundae is 1/6.

Probability is a measure of the likelihood or chance of an event occurring. It is represented as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

a. Image is attached below.

b. The probability of choosing water and Black & White Sundae is the product of the probabilities of choosing water and Black & White Sundae given that water was chosen. This can be calculated as:

P(Water and B&W Sundae) = P(Water) * P(B&W Sundae | Water)

= 1/2× 1/3

= 1/6

Therefore, the probability of choosing water and Black & White Sundae is 1/6.

c. To calculate the total number of different combinations, we need to multiply the number of drink options by the number of dessert options. Since there are 2 drink options (water and soda) and 3 dessert options (Black & White Sundae, milkshake, and banana split) with 3 different sizes for the milkshake and banana split, we can calculate the total number of different combinations as:

Total combinations = 2×(1 + 3 + 3×3)

= 2 × 13

= 26

Therefore, there are 26 total different combinations.

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