The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB can have?

Answer:

18 cm^2

Step-by-step explanation:

The legs of the isosceles, right triangle are the base and height.

A = bh/2 = 6 cm * 6 cm/2 = 18 cm^2

Answer:

18 cm²

Step-by-step explanation:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the perpendicular height to the base.

Here, we have a right triangle, which means we can simply make the legs our base and height. Both legs are 6 cm, so the base is b = 6 cm and the height is h = 6 cm. Plug these into the formula:

A = (1/2) * b * h

A = (1/2) * 6 * 6 = (1/2) * 36 = 18

The answer is thus 18 cm².

~ an aesthetics lover

The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.

The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.

Now, let's analyze the relationship between Statement 2 and its inverse.

Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.

Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.

The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.

In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.

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Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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The length of the median of the trapezoid is 12.

The area of a trapezoid is given by the formula (1/2)h(b1+b2), where h is the height and b1 and b2 are the lengths of the bases. We know that the area is 60, the height is 5 and b1 = b2 + 4.

So, we can write the equation as follows:

(1/2) * 5 * (b1 + b2) = 60

To find the length of the median of a trapezoid, we need to find the length of the mid-segment. The mid-segment of a trapezoid connects the midpoints of the non-parallel sides. The length of the midsegment is the average of the lengths of the bases.

So, the length of the median is (b1 + b2) / 2.

We can substitute the value of the area to find the lengths of the bases and then use that to find the length of the median.

(1/2) * 5 * (b1 + b2) = 60

(1/2) * 5 * (b1 + b2) = 60

b1 + b2 = 24

b1 = b2 + 4

b2 = 24 - b1

b1 = (24 - b1) + 4

b1 = 24 - b1 + 4

b1 = 28 - b1

b1 = 28 - (24 - b1)

b1 = 4 + b1

b1 = b2 + 4

b1 = b1

So, the lengths of the bases are equal to 14 and 10.

Length of median = (14 + 10) / 2 = 12.

Therefore, The length of the median of the trapezoid is 12.

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___________________A

The function that represents the inequality of the given graph is;

Option A

From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.

Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.

Looking at the options, option A is right and we will prove it thus;

for y = x³ - 3

At x = 2, we see that;

y = 2³ - 3

y = 5

This corresponds with the given equation

For the second curve, for y = x² + 6;

At x = 2, we have;

y = 2² + 6

y = 4 + 6

y = 10

This corresponds with what is given and is thus correct.

Thus, option A is the correct answer

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9514 1404 393

Answer:

  30 units

Step-by-step explanation:

Make use of the formula for the volume of a sphere. Solve for the radius. (You can solve for the radius before or after you put the numbers in the formula.)

  V = (4/3)πr³

  36000π = 4/3πr³ . . . . put the numbers in the formula

  27000 = r³ . . . . . . . . . multiply both sides by 3/(4π)

  30 = r . . . . . . . . . . . . . .take the cube root

The radius of the sphere is 30 units.

Answer:

radius = 30 units

Step-by-step explanation:

The radius of the sphere is 30 units.

Answer:

1.421 liters

Step-by-step explanation:

Plz mark B R A I N L I E S T

the sum of XY is 100. To compute the sum of X2, Y2 and XY, first we need to find the individual values for each.

For X2: X2 = 12 + 32 + 52 + 72 = 1 + 9 + 25 + 49 = 84.

For Y2: Y2 = 22 + 42 + 62 + 82 = 4 + 16 + 36 + 64 = 120.

For XY: XY = 1*2 + 3*4 + 5*6 + 7*8 = 2 + 12 + 30 + 56 = 100.

Therefore, the sum of X2 is 84, the sum of Y2 is 120, and the sum of XY is 100.

To compute ΣX2, ΣY2 and ΣXY, we need to find the sum of the squares of the values of X and Y, and the sum of the products of the values of X and Y respectively. Here's how to do it: 1. ΣX2 = (12 + 32 + 52 + 72) = (1 + 9 + 25 + 49) = 84 2. ΣY2 = (22 + 42 + 62 + 82) = (4 + 16 + 36 + 64) = 120 3. ΣXY = (1*2 + 3*4 + 5*6 + 7*8) = (2 + 12 + 30 + 56) = 100 Therefore, the values of ΣX2, ΣY2 and ΣXY are 84, 120, and 100 respectively.

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Answer:

=3(x+8)(x+1)

Step-by-step explanation:

3(x^2+9x+8)

3(x^2+8x+1x+8)

3[(x^2+8x)+(1x+8)]

3[x(x+8)+1(x+8)]

=3(x+8)(x+1)

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Answer:

45

Step-by-step explanation:

Answer:

x=-1 4/5

first one

Answer:

x=26°, y=26°, z=26°

Step-by-step explanation:

x+74=100 (the sum of linear pair)

x=100-74

x=26

x=y=26 (alternate angle)

y=z=26 (vertically opposite angle V.O.A)

Answer:

8√2 in.

Step-by-step explanation:

The original square:

Perimeter = 16 in.

Side = 4 in.

New square:

Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.

(2 in)² + (2 in.)² = s²

s² = √(8 in.²)

s = 2√2 in.

p = 4s = 4(2√2) in. = 8√2 in.

Answer:

232.5 ft

Step-by-step explanation:

Bounce

1      
2          

3           
4          
5

80   +   40X2  +  20 x 2   + 10 x 2   + 5 x 2  + 2.5   = 232.5 ft 

Answer: x^3

Step-by-step explanation: it has no cube so its 3^x or x^3

If the resulting value is positive, it means buying from Marley would yield higher profits. If negative, making internally would result in higher profits.

To determine the effect on Paibec's profits if MT-RF is purchased from Marley in 2021, we need to compare the costs of manufacturing it internally (make costs) versus purchasing it from Marley (buy costs). Let's calculate both scenarios:

Make Costs:

Direct materials: $168,000 (30,000 units * $5.60 per unit)

Direct labor: $108,000 (30,000 units * $3.60 per unit)

Plant space rental (fixed): $75,000

Equipment lease (fixed): $38,000

Other overhead:

Variable: $84,000 (30,000 units * $2.80 per unit)

Fixed: $126,000

Total make costs: $599,000

Buy Costs:

Cost per unit from Marley: $18.40

Total buy costs: $662,400 (36,000 units * $18.40 per unit)

Now, let's consider the additional information provided by Hart's estimates:

If MT-RF is not outsourced, direct material costs per unit are 9% higher in 2021.

Adjusted direct materials cost per unit: $5.60 + ($5.60 * 9%) = $6.104, rounded to $6.10

If MT-RF is not outsourced, direct labor costs per unit are 4% higher in 2021.

Adjusted direct labor cost per unit: $3.60 + ($3.60 * 4%) = $3.744, rounded to $3.74

If MT-RF is purchased from Marley, the termination costs for space rental are $8,500 (instead of $9,500) and for equipment lease are $3,500 (instead of $4,500).

Adjusted space rental termination cost: $8,500

Adjusted equipment lease termination cost: $3,500

If MT-RF is purchased from Marley, $10,000 of fixed overhead costs can be saved.

Now, let's calculate the updated costs for both scenarios:

Updated Make Costs:

Direct materials: 36,000 units * $6.10 per unit = $219,600

Direct labor: 36,000 units * $3.74 per unit = $134,640

Plant space rental (fixed): $75,000

Equipment lease (fixed): $38,000

Other overhead:

Variable: $84,000 (36,000 units * $2.80 per unit)

Fixed: $116,000 (original $126,000 - $10,000 saved)

Total updated make costs: $667,240

Profit from making internally: Total revenue - Updated make costs

Profit from making internally: (36,000 units * $18.40 per unit) - $667,240

Updated Buy Costs: Total buy costs + Termination costs

Updated Buy Costs: $662,400 + $8,500 + $3,500

Profit from buying from Marley: Total revenue - Updated buy costs

Profit from buying from Marley: (36,000 units * $18.40 per unit) - (updated buy costs)

To determine the effect on Paibec's profits, we compare the profits from both scenarios:

Effect on Profits: Profit from buying from Marley - Profit from making internally

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Correct question:

Lynn Hart is a managerial accountant at Paibec Corporation. Paibec is under intense cost competition, and Hart has been asked to evaluate whether Paibec should continue to manufacture part MT-RF or purchase it from Marley Company. Marley has submitted a bid to supply the 36,000 MT-RF units that Paibec will need for 2021 at a price of $18.40 each.

From plant records and interviews with Jane Porter, the plant manager, Hart gathered the following information regarding Paibec's costs to manufacture 30,000 units of MT-RF in 2020:

Direct materials $168,000

Direct labor 108,000

Plant space rental [fixed] 75,000

Equipment lease [fixed] 38,000

Other overhead

Variable 84,000

Fixed 126,000

Total $599,000

Porter also tells her that:

if MT-RF is not outsourced, all variable costs per unit, space rental costs, and equipment lease costs will be the same in 2021 as in 2020,

if MT-RF is purchased from Marley, plant space will not have to be rented, and equipment will not have to be leased, but it will cost $9,500 and $4,500, respectively, to terminate the two contracts, and

if MT-RF is purchased from Marley, none of the fixed overhead costs can be avoided.

Hart recognizes that Porter is probably concerned that outsourcing MT-RF will result in some of her close friends being laid off. She therefore performs her own independent analysis, and determines that:

if MT-RF is not outsourced, direct material and direct labor costs per unit are more likely to be higher in 2021 by 9% and 4%, respectively,

if MT-RF is purchased from Marley, the contract termination costs will actually be $8,500 for the space rental and $3,500 for the equipment lease, and

if MT-RF is purchased from Marley, $10,000 of the fixed overhead costs can actually be saved.

Hart estimates that 36,000 units of MT-RF will be needed in 2021.

REQUIRED [Note: Round unit cost computations to the nearest cent]

Based on Hart's estimates, if MT-RF is purchased from Marley in 2021, what will be the effect on Paibec's profits? [Note: if the buy costs are less than the make costs, enter the difference as a positive number; if the make costs are less than the buy costs, enter the difference as a negative number.]

Answer:

88$

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I believe the answer is function

Step-by-step explanation:

Answer:

25) $6.15

26) 300

Step-by-step explanation:

25)

p(k) = 1600/(k + 20)

p(240) = 1600/(240 + 20)

p(240) = 1600/260

p(240) = 6.15

Answer: $6.15

26)

p(k) = 5

p(k) = 1600/(k + 20)

5 = 1600(k + 20)

5(k + 20) = 1600

5k + 100 = 1600

5k = 1500

k = 300

Answer: 300

Answer:

\(-2t^2+ 6t -1 > 0\)

Step-by-step explanation:

Function Modeling

The height h in feet of the stick threw by Tim is modeled by the function:

\(h = -16t^2+ 48t\)

where t is the time in seconds.

It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.

Using the given model, we write the inequality:

\(-16t^2+ 48t > 8\)

Dividing by 8

\(-2t^2+ 6t > 1\)

Subtracting 1, we get the required inequality:

\(\mathbf{-2t^2+ 6t -1 > 0}\)

Answer:

you want more than 8 feet so the answer would be -16t^2+48t>8

Step-by-step explanation:

h=-16t^2+48t

-16t62+48t>8

-16t^2+48t=8

divide both sides of the equal sighn by 8

-2t^2+6t=1

put the symbol back in

-2t^2+6t>1

substitute a random mumber for t

-2(5)^2+6(5)>1

-10^2+30>1

subtract 30 from both sides

100>-29

state is true so -16t62+48t>8 is the correct answer

Answer:

4.5 centimeters

Step-by-step explanation:

For the triangle with area 144 square cm:

144 = (1/2)(6)x

144 = 3x, so x = 48 cm

So for the triangle with area 81 square cm:

(1/2)(x)(8x) = 81

4x^2 = 81

x^2 = 81/4 so x = 9/2 = 4.5 cm and

8x = 36 cm

Answer:

4.5

Step-by-step explanation:

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

a set of values for the variable that satisfy all the equations simultaneously.

Step-by-step explanation:

search it

Answer:

They have large leaves with holes in them that the Toucan can use to reach the fruit inside. The Toucan's beak is also used to break open hard-shelled fruits, such as coconuts. The Toucan's beak is also used for defence against predators, as it can be used to peck and jab at them. The adaptations of the rainforest plants are examples of convergent evolution. Both the Toucan and Monstera Plants have adapted to their environment in order to survive. The Toucan has a large beak that helps it to reach fruit in the canopy, while the Monstera Plant has long, grooved leaves with drip tips that allow water to run off and prevent mould. Both adaptations are beneficial for the survival of the species in the rainforest.

Step-by-step explanation:

a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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Answer:

D 0.6

Step-by-step explanation:

plato/edmentum

Answer: 0.6

Step-by-step explanation: