Write the following in descending order a. 237, -237, -273, -723,-327
b. 8.8, 8.088, 8.08, 8.808, 8.8088
c. 0.567, 0.567, 0.56767, 0.567567​

Answer:

122.5 minutes

Step-by-step explanation:

21 hotdigs in 6 min

1 hotdog 3.5 minutes

therefore 35 hotdogs = 122.5 minutes

The image of point P under the reflection with the axis being the line passing through points A and D in a regular hexagon ABCDEF can be determined.

When reflecting a point across a line, the image of the point is located on the opposite side of the line but at an equal distance from the line. In this case, the reflection axis passes through points A and D.

If we examine the given options, we can eliminate options B, C, and D because their corresponding points are not on the opposite side of the line passing through A and D.

To determine the correct option, we need to consider the midpoint of the line segment connecting P and its reflected image. Since point P is a midpoint, the midpoint of the line segment between P and its reflection will be point O, the center of the hexagon. Therefore, the correct option is E) none of these.

The image of point P under the reflection with the axis being the line passing through A and D is point O, the center of the hexagon.

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The graph of the function 6x + y = 9 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

6x + y = 9

make y the subject

y = -6x + 9

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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To solve a word problem using a one-step linear inequality, follow these steps: identify the given information, translate it into an inequality, isolate the variable, and write the solution. For example, if a store sells T-shirts for $15 each and you have at most $100 to spend, the number of T-shirts you can buy is represented by the inequality x ≤ 6, which means you can buy at most 6 T-shirts.

To solve a word problem using a one-step linear inequality, follow these steps:

For example, let's say you have the word problem: 'A store sells T-shirts for $15 each. You have at most $100 to spend. Write an inequality to represent the number of T-shirts you can buy.'

Step 1: Identify the given information. The store sells T-shirts for $15 each and you have at most $100 to spend.
Step 2: Translate the given information into an inequality. Let x represent the number of T-shirts. The inequality is 15x ≤ 100, since the total cost of the T-shirts should be at most $100.
Step 3: Isolate the variable. Divide both sides of the inequality by 15 to get x ≤ 6.67. Since you can't buy a fraction of a T-shirt, round down to the nearest whole number. The solution is x ≤ 6.
Step 4: Write the solution. The number of T-shirts you can buy is represented by the inequality x ≤ 6, which means you can buy at most 6 T-shirts.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

to find the line you must find x and y

Step-by-step explanation:

\(\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right]\)

graph the line using slope and y intercept

slop:1/2

y-intercept:3

find the values of mx and b

\(m=\frac{1}{2}\\b=3\)

find x intercept

\(0=\frac{x}{2}+3\)

re wright the equasion

\(\frac{x}{2}+3=0\)

subtract 3

\(\frac{x}{2} +3-3=0-3\)

\(\frac{x}{2}=-3\)

multiply by 2

\(*2\frac{x}{2}=-3*2\)

x intercept = -6

now find y intercept

\(y=\frac{0}{2}+3\)

divide by 2

\(y=0+3\)

add 0 and 3

y=3

create a table of x and y \(\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right]\)

graph the line using y-intercept and slope

so your answer is (-6,3)

Answer:

-23

Step-by-step explanation:

firstly u need to substitute a to 1/4 and b to 6

16(1/4) to the power of 2 - 4(6) equal to -23

Answer:

I think it's D1 ,

Step-by-step explanation:

2(1+1) = 4

2×1+2=4

Answer:

90

Step-by-step explanation:

The total number of games would be 15 games.

What are the Permutation and Combination?

Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement. When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.

Consider each team playing with the other team once

Total number of games scheduled = Number of ways of selecting 2 from 6 teams

               \(=^nC_r\\\\=^6C_2\\\\=\frac{6!}{2!*4!}\\\\=15\)

Hence the total number of games would be 15 games.

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The correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.

For a company using the allowance method of accounting for uncollectible accounts, the establishment of the allowance, writing off of a specific account, and recovery of an account previously written off as uncollectible all affect its financial statements, but in different ways:

The establishment of the allowance: This directly affects the amount of bad debt expense recognized in the income statement, which in turn affects the reported net income. When the company establishes an allowance for uncollectible accounts, it recognizes an expense for the estimated amount of uncollectible accounts, which reduces the reported net income.

The writing off of a specific account: This does not affect the net income directly because the expense for bad debt has already been recognized when the allowance was established. However, it does affect the balance sheet because the amount of accounts receivable and the allowance for uncollectible accounts are both reduced.

The recovery of an account previously written off as uncollectible: This affects both the income statement and the balance sheet. The amount of the recovery is recognized as revenue, which increases the reported net income. Additionally, the accounts receivable and allowance for uncollectible accounts are both increased by the amount of the recovery.

Therefore, the correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.

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When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Step-by-step explanation:

The two common examples of Euclidean geometry are angles and circles. Angles are said as the inclination of two straight lines. A circle is a plane figure, that has all the points at a constant distance (called the radius) from the center.

Answer:

The 28 bananas weigh 7 pounds

Step-by-step explanation:

We can start by figuring out the price per banana by dividing the total price by the number of bananas:

Price per banana = $3 / 7 bananas

Price per banana = $0.43 per banana (rounded to the nearest cent)

Next, we can use the price per banana to find the cost of 28 bananas:

Cost of 28 bananas = 28 bananas x $0.43 per banana

Cost of 28 bananas = $12.04

Therefore, Luke pays $12.04 for 28 bananas.

To find the weight of 28 bananas, we can use the fact that seven bananas weigh 1 3/4 pounds:

Weight of one banana = 1 3/4 pounds / 7 bananas

Weight of one banana = 1/4 pound per banana

Then we can multiply the weight of one banana by 28 to find the total weight of 28 bananas:

Weight of 28 bananas = 1/4 pound per banana x 28 bananas

Weight of 28 bananas = 7 pounds

Therefore, the 28 bananas weigh 7 pounds.

Answer:  3, 5, 7

Step-by-step explanation:

There is a "trick" to determine divisibility by 3: if the sum of the digits is divisible by 3, the number is divisible by 3.

3 + 1 + 5 = 9 which is a multiple of 3, so 315 is divisible by 3.

It works for 9 also. since the sum of the digits is 9, 315 is divisible by 9.

Divisibility by 5: any number that has the units digit 5 or 0 is divisible by 5.

For 7, I just tried it  315÷7= 45

Only even numbers are divisible by 2.

If a 3-digit number is divisible by 11, the middle digit will be the sum of the first and last digits.   (That is not the case for 315)  But 385 is divisible by 11, also 495, 253, and many others you can try for fun.

Answer:

english plz

Step-by-step explanation:

Answer:

the graph will have a positive slope(the line will go from lower left to upper right)

Answer:

120°

Step-by-step explanation:

the angle is exceeding the 90° so it will be 120°

Answer:

\(f(6) = f(-6)\) --- True

\(f(6)=2 * f(3)\) --- False

Step-by-step explanation:

Given

\(f(x) = \frac{x^2}{3} - 2\)

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in \(f(x) = \frac{x^2}{3} - 2\)

\(f(6) = \frac{6^2}{3} - 2\)

\(f(6) = \frac{36}{3} - 2\)

\(f(6) = 12 - 2\)

\(f(6) = 10\)

Next, we solve for f(-6) by substituting -6 for x in \(f(x) = \frac{x^2}{3} - 2\)

\(f(-6) = \frac{-6^2}{3} - 2\)

\(f(-6) = \frac{36}{3} - 2\)

\(f(-6) = 12 - 2\)

\(f(-6) = 10\)

We have that:

\(f(6) = f(-6) = 10\)

Hence, the statement is true

Solving (b): \(f(6)=2 * f(3)\)

We have that:

\(f(6) = 10\)

Next, we solve for f(3) by substituting 3 for x in \(f(x) = \frac{x^2}{3} - 2\)

\(f(3) = \frac{3^2}{3} - 2\)

\(f(3) = \frac{9}{3} - 2\)

\(f(3) = 3 - 2\)

\(f(3) = 1\)

\(2 * f(3) = 2 * 1\)

\(2 * f(3) = 2\)

So:

\(f(6)=2 * f(3)\)

\(10 \neq 2\)

Hence, the statement is false

Answer:

-2(r+3)

Step-by-step explanation:

Answer:

i think it's the first one

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Therefore, the vertical component of the force exerted on the block by the floor is equal to the normal force (N).

To determine the vertical component of the force exerted on the block by the floor, we need to consider the forces acting on the block. In this case, since the block is being pulled horizontally, the main forces to consider are the gravitational force (mg) acting vertically downward and the normal force (N) exerted by the floor perpendicular to the surface.

Since the block is on a rough horizontal floor and being pulled horizontally, there is a frictional force (f) opposing the motion. The frictional force acts parallel to the surface and in the opposite direction to the applied force. The vertical component of the force exerted by the floor is equal to the normal force (N). The normal force balances the downward force due to gravity (mg) to keep the block in equilibrium vertically.

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Angle #1 = 90 Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 22= 90. Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 8 = 90 . Reason:  Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 2 =  90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

#17 = 60. Reason:  We have the sum of all interior angles at 180.

180 degrees  = 30+ 90+ #17

so # 17 = 180 - ( 30+90) = 60.

#23= 90. Reason: A right triangle is a type of triangle that has one angle that measures 90°.

# 19= 90. Reason:  Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#26 = 90. Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

#21 = 90.  Reason: Opposite sides are equal and parallel. It has 2 diagonals of equal length.

# 16 = 60  Reason:  We have the sum of all interior angles at 180. And Opposite sides are equal and parallel. So # 16 + 90 + # 27 = 180

so # 16 + #27 = 180-90 = 90.

#3= 30. We have # 16 +# 3 = 90. So 60 +# 3 = 90. Hence, # 3 = 30.

#27 = 30.

you will win 2.8 cents each time you play the game. but the more likely mode is on black you lose 76 cents on your first play.

1+8+30=39

chance of gold is 1/39

chance of silver is 8/39

chance of black is 30/39

The expected value of playing this game =weighted average of winning or loss*odds of winning.

                                        = \(\frac{1}{39}*3+\frac{8}{39} *2+\frac{30}{39}*-1\)

                                        =\(\frac{3}{39}+\frac{16}{39}-\frac{30}{39}\)

                                       =-0.28

                                       =28 cents

hence you will win 28 cents each time you play the games.

but on your first try, you are more likely to lose  (30/39=76cents).

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What is Volume?

Quantity of the three-dimensional object

Volume is the quantity of the three-dimensional object.

To find the volume of the tetrahedron enclosed by the coordinate planes (x = 0, y = 0, z = 0) and the plane 5x + y + z = 2, we can set up a triple integral over the region corresponding to the tetrahedron.

The equation of the plane can be rewritten as z = 2 - 5x - y. The limits of integration for x, y, and z can be determined by the boundaries of the tetrahedron.

Since the tetrahedron is enclosed by the coordinate planes, we have the following bounds:

0 ≤ x ≤ ?

0 ≤ y ≤ ?

0 ≤ z ≤ ?

To determine the upper bounds for x, y, and z, we can find the intersection points of the plane with the coordinate axes.

Setting x = 0, we get:

z = 2 - y

Setting y = 0, we get:

z = 2 - 5x

Setting z = 0, we get:

5x + y = 2

From these equations, we can find the intersection points:

At x = 0, y = 2 and z = 2

At y = 0, z = 2 - 5x and x = 0

At z = 0, 5x + y = 2 and x = 0, y = 2

Therefore, the upper bounds for x, y, and z in the triple integral are:

0 ≤ x ≤ 2/5

0 ≤ y ≤ 2 - 5x

0 ≤ z ≤ 2 - 5x - y

The volume V of the tetrahedron can be found using the triple integral:

V = ∭R dV

V = ∭R dx dy dz

V = ∫[x=0 to 2/5] ∫[y=0 to 2 - 5x] ∫[z=0 to 2 - 5x - y] dz dy dx

Now, you can evaluate this triple integral to find the volume of the tetrahedron enclosed by the coordinate planes and the plane 5x + y + z = 2.

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Answer:

I'm thinking that one of the sign at the front should be + so the answer would be:

-2y = -37

y = 37/2

The measure of angle RPT is 122° if the measure of an angle RST is 64°.

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.

The total of a triangle's angle measurements is 180°. Because ∠RST = 64°, the other two angles must equal to  180-64 = 116°.

The diagram shows that RST is an isosceles triangle. This suggests that the basis angles, SRT and STR, are equivalent, with each equaling 116/2 = 58°.

RP will cut RST, and PT will cut STR.

PTR = 58/2 = 29° and PRT = 58/2 = 29°.

This suggests that the base angles are 29+29 = 58°, leaving RPT at 180-58 = 122°.

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According to the expected value of a random variable and rules for means concept, it can be concluded that:

The notation x-bar is used to represent the ordinary average, or mean, of a set of data values. It is calculated by adding up all of the data values and dividing by the number of data values.

On the other hand, the notation Ux is used to represent the expected value of a random variable x. It is calculated by multiplying each possible value of x by its probability and then adding up these products.

Rules for means state that:

1. The expected value of a linear combination of random variables is equal to the linear combination of their expected values. Ua+bX = a + bUx

2. The expected value of the sum of two random variables is equal to the sum of their expected values. Ux+y = Ux + Uy

According to the rules for means we get:

Ux+y = Ux + Uy

= 5 + 10

= 15.

According to the rules for means, we get:

Ua+bX = a + bUx

U3+4X = 3 + 4Ux

= 3 + 4(2)

= 11.

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Full question:

6.) explain the difference between the notations x-bar and Ux!

7.) suppose x=5 and y=10. according to the rules for means, what is Ux+y?

8.) suppose x=2. according to the rules for means, what is U3+4x?