1.1 .2 3 4 Tkey takes both History and Geography, he is trying to determin performed better. They has the following percentages for history test during the ye 30, 31, 33, 38, 51, 55, 60, 60, 60, A Geography 75, 35, 50, 60, 64,60, 45, 53, 58 Is the above data Discrete or Continuous? Identify the minimum value for the Geography test. The Range for the History test is 60. Calculate the maximum v Arrange the Geography test in Ascending order. Write down the mode for the History test.​

The length of side KL is approximately 4.8 cm.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle. In other words:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the angles opposite those sides.

Using the Law of Sines, we can set up the following proportion:

l/sin(L) = m/sin(M)

Where l is the length of side KL, L is the measure of angle KLM (which is 72 degrees), m is the length of side LM, and M is the measure of angle KML (which we can find by subtracting L from 180 degrees).

M = 180 - L

= 180 - 72

= 108 degrees

Now we can substitute the given values into the proportion and solve for l:

l/sin(72) = 5.9/sin(108)

l = sin(72) * (5.9/sin(108))

≈ 4.8 cm (rounded to the nearest 10th of a centimeter)

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The figure has line symmetry since one half of the figure is a mirror image of the other half.

A point symmetry, also known as reflection symmetry or symmetry with respect to a point, is a type of symmetry where an object remains unchanged when it is rotated by 180 degrees around a fixed point.

So in point symmetry  if you have a line and you can find a point such that if you fold the line along that point, the two halves coincide perfectly, then the line possesses point symmetry.

This is not the case for this diagram as both halves does not have equal height.

For line symmetry, if you can draw a line (known as the line of symmetry) through a figure in such a way that one half of the figure is a mirror image of the other half, then the figure exhibits line symmetry.

The given figure passes line symmetry test.

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The volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

To calculate the volume of a triangular pyramid, we need the values of the base area and the height. Given that a = 12 and h = 25, we can proceed with the calculation.

The formula for the volume of a triangular pyramid is (1/3) * base area * height. Since we know the base area is equal to a, we can substitute the values into the formula.

Volume = (1/3) * a * h

Plugging in the given values, we have:

Volume = (1/3) * 12 * 25

Simplifying the expression further:

Volume = (1/3) * 300

Volume = 100

Therefore, the volume of the triangular pyramid, with a base area of 12 and a height of 25, is equal to 100 cubic units.

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The height at a time of 1.6 seconds is 185 feet.

Here, we have,

Since we want to find a quadratic regression equation, we'll use the quadratic model: y = ax^2 + bx + c.

Using the data in the table, we can set up the following system of equations:

a(0)^2 + b(0) + c = 0

a(1)^2 + b(1) + c = 85

a(2)^2 + b(2) + c = 140

Simplifying, we get:

c = 0

a + b + c = 85

4a + 2b + c = 140

Substituting c = 0 into the second equation, we get:

a + b = 85

Subtracting twice the first equation from the third equation, we get:

2a + 2b = 140

Subtracting the first equation from the second equation, we get:

a = 85 - b

Substituting this into the previous equation, we get:

170 - 2b = 140

Solving for b, we get:

b = 15

Substituting this value of b into the equation a + b = 85, we get:

a = 70

Therefore, the quadratic regression equation is:

y = 70x^2 + 15x

To find the height at a time of 1.6 seconds, we plug in x = 1.6:

y = 70(1.6)^2 + 15(1.6) = 184.8

Rounding to the nearest foot, the height at a time of 1.6 seconds is 185 feet.

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Answer:

(d) 24 cm

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 3 + 9 + 12

P = 12 + 12

P = 24

Thus, the perimeter of the triangle is 24 cm

The value of price of the bond is , £36.37.

Now, For the price of the bond with a face value of £100, an annual coupon rate of 3%, 28 years to maturity and an annual yield of 14%,

Hence,  we can use formula for the present value as;

PV = (C / i) x [1 - (1 / (1 + i)^n)] + FV / (1 + i)^n

Where:

PV is the present value

C is the annual coupon payment

i is the yield to maturity

n is the number of years to maturity

FV is the face value of the bond

Hence, Plugging in the values, we get:

PV = (3 / 0.14) x [1 - (1 / (1 + 0.14))] + 100 / (1 + 0.14)

PV = (21.43) x [1 - (1 / 6.646)] + 1.34

PV = £36.37

Therefore, The value of price of the bond is , £36.37.

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Answer:    x=67

Step-by-step explanation:

All of the angles add up to 180 for a triangle

38 + 75 + x = 180               >combine like terms (the numbers)

113 + x = 180                       >subtract 113 from both sides

x=67

Answer:

Step-by-step explanation:

We know that,

[tex] \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle[/tex]

[tex] \large \sf \: → x +38° + 75° = 180°[/tex]

[tex] \large \sf \: → x + 113 = 180°[/tex]

[tex] \large \sf→ x = 180°- 113°[/tex]

[tex] \boxed{\large \bf→ x = 67° }[/tex]

Answer:

rata-rata =65+70+75+76+76+79+79+82+82+90/11 =78,4

median = 79

rentang = Q3-Q1=82-75

=7

The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.

To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.

The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.

First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:

r = √(8² + 6²) = √(64 + 36) = √100 = 10

Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:

cos ø = 8 / 10 = 4/5.

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The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.

Consider a standard deck of cards.

We know that a standard deck of cards contains 52 cards.

So, total number of cards in the standard deck of cards = 52 cards

Now, we have to assume that there are no jokers in the set of cards.

We have to find the probability of picking an ace of hearts from a standard deck of playing cards.

For that we need to first find the number of cards which are ace of hearts.

Number of cards which are ace of hearts = 1

Probability of picking an ace of hearts from a standard deck of playing cards is,

P = Number of ace of hearts / Total number of cards

  = 1/52

Hence the probability is 1/52.

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Answer:

Step-by-step explanation:

The vectors are equidistant to each other with -2+2i

A vector is a mathematical or geometrical quantity that has both magnitude and direction.  It can be represented as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head.

The vectors are

P₁ = (8,3), P₂ = (6, 5), P₃ = (11,8) , P₄ = (9, 10)

u = [(9-8)] , (5-3)]

= (-2,2)   or u = -2 + 2i

v = [(9-11) , (10-8)]

= (-2, 2)    or ( u = -2 +2i)

This means that the vectors are equidistant

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X varies directly as y , that x = 9 when y = 3,the value of x when y = 12 by  the constant of Variation , value of x is 36.

X  varies directly as y, it means that there is a constant ratio between x and y. We can express this relationship using the formula:

x = ky

where k is the constant of variation.

To find the value of k, we can use the given information that x = 9 when y = 3. Substituting these values into the formula, we have:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9/3

k = 3

Now that we have the value of k, we can find x when y = 12 by substituting it into the formula:

x = 3 * 12

x = 36

Therefore, when y = 12, the corresponding value of x is 36.

if x varies directly as y and we are given that x = 9 when y = 3, we can find the value of x when y = 12 by determining the constant of variation (k) and using the formula x = ky. In this case, the constant of variation is 3, so when y = 12, x equals 36.

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The sample space describing all possible outcomes is  1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B and 3C

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

Box = 1, 2, 3

Bag = A, B, C

Using the above as a guide, we have the following:

Sample size = 3 * 3

So, we have

Sample size = 9

Using the format 1A, we have the sample space to be

1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B and 3C

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There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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The equation of the parabola from the given graph is y=-3x². Therefore, option A is the correct answer.

From the given graph vertex is (0, 0) and the point on x-axis (-3, 0).

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) denotes the vertex. The standard equation of a regular parabola is y² = 4ax.

Substitute (h, k)=(0, 0) and a=-3 in y = a(x-h)² + k, we get

y=-3(x-0)² + 0

y=-3x²

Therefore, option A is the correct answer.

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The solution is:

Account C had the largest balance in the year 2012.

The balance of Account A is growing at a rate of 5% per year.

The balance of Account C is decreasing at a rate of 85% per year.

Account A is growing faster than account B.

all the applications are true.

We have,

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

Solution: Start by using:

2012 indicates that x=1

So A = 900 (1.05) = 900 × 1,05=945

B = 1100 (1.038)

= 1100 × 1038

= 1141.8 \sC

= 5000 (0,85)

= 5000 x0.85

= 4250 \s4250 1141.8945

So, Ture is the first applicant.

Applying the second: 1.05-1=0.055% Ture

The third application is 1-0.85=0.15=15%. False

Applying the fourth: A 1.05+=0.05=5%

B: \s11038-1=0.038=3.8% \s5% > 3.8% Ture

Hence all the apply are true.

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Equity is the difference between what you still owe on your home and what it is worth. This is false.

Equity refers to the ownership value or financial interest that an individual or entity holds in an asset, such as a home. It represents the difference between the market value of the asset and the outstanding balance of any loans or mortgages secured against it.

To be more specific to homeownership, home equity is the portion of the property's value that the homeowner truly owns outright, without any outstanding debts. It is calculated by subtracting the remaining mortgage balance or any other liens on the property from the current market value of the home.

For example, if your home is worth $300,000 and you still owe $200,000 on your mortgage, your equity would be $100,000 ($300,000 - $200,000). This equity can be considered a form of wealth

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Equity is the difference between what you still owe on your home and what it is worth. True or false.

The length of the rectangle is 300 cm and its width is 150 cm, given that the perimeter is 900 cm and the length is twice the width.

Let's assume that the width of the rectangle is w, then the length of the rectangle is twice the width, 2w.

The perimeter of a rectangle is given by the following formula:

Perimeter = 2 * (Length + Width)

Substituting the values given, we get:

900 = 2 * (2w + w)

Simplifying this equation, we get:

900 = 6w

Dividing by 6 on both sides, we get:

w = 150

Now that we know the width of the rectangle is 150cm, we can find its length as follows:

Length = 2 * Width = 2 * 150 = 300

Therefore, the length of the rectangle is 300 cm and its width is 150 cm.

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Answer:

For Batanta island (B(x)):

The data for B(x) seems to increase linearly, as each value is three times the previous value (2, 6, 18, 54, 162, 486). We can check this by calculating the difference between consecutive values:

6 - 2 = 4

18 - 6 = 12

54 - 18 = 36

162 - 54 = 108

486 - 162 = 324

The differences between consecutive values increase by a factor of 3, which supports the idea that B(x) is a linear function.

For Misool island (M(x)):

The data for M(x) seems to increase exponentially, as each value is roughly twice the previous value (20, 120, 420, 920, 1620, 2520). We can check this by calculating the ratio between consecutive values:

120 / 20 = 6

420 / 120 = 3.5

920 / 420 = 2.19

1620 / 920 = 1.76

2520 / 1620 = 1.56

The ratios between consecutive values decrease as x increases, which supports the idea that M(x) is an exponential function.

For Salawati island (S(x)):

The data for S(x) seems to increase exponentially, as each value is roughly 1.5 times the previous value (38, 81, 124, 167, 210, 253). We can check this by calculating the ratio between consecutive values:

81 / 38 = 2.13

124 / 81 = 1.53

167 / 124 = 1.34

210 / 167 = 1.26

253 / 210 = 1.2

The ratios between consecutive values decrease as x increases, which supports the idea that S(x) is an exponential function.

For W(x):

Based on the given data points, it seems that W(x) is an exponential function. We can check this by calculating the ratio between consecutive values:

48 / 24 = 2

96 / 48 = 2

384 / 96 = 4

768 / 384 = 2

1536 / 768 = 2

The ratios between consecutive values remain constant at 2, which supports the idea that W(x) is an exponential function.

Therefore, of the functions B(x), M(x), and S(x), the same type of function as W(x) is M(x), since both are exponential functions.

Hope this helps!

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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The total amount for the new vehicle, considering the given costs, is $16,692.

To calculate the total amount of a new vehicle, you need to consider the standard vehicle price, options cost, and destination charge. In this case, the standard vehicle price is $14,530, the options cost is $1,717, and the destination charge is $445.

To find the total amount, simply add these three amounts together:

$14,530 (standard vehicle price) + $1,717 (options cost) + $445 (destination charge) = $16,692

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Answer:6. Calculate the appropriate measure of Skewness for the data below. Class 0-10 10-20 20-30 30-40 40-50 50-60 12 25 35 40 50 No. of workers 10 Ans: -0.49

Step-by-step explanation:

Signing a note payable allows the buyer to defer payment and provides a formal agreement outlining the terms and conditions of the debt.

A piece of equipment was acquired at a total cost of $40,000. Initially, a cash payment of $10,000 was made, leaving a remaining balance to be settled. To cover this outstanding amount, a note payable was issued to the seller.

The transaction reflects a combination of cash and credit financing. The cash payment of $10,000 represents the immediate cash outflow associated with the equipment purchase. The remaining balance of $30,000 is represented by the note payable, which indicates a promise to pay the seller in the future.

Signing a note payable allows the buyer to defer payment and provides a formal agreement outlining the terms and conditions of the debt. The specific terms, such as the interest rate and repayment schedule, would be detailed in the note payable agreement.

This method of financing enables the purchaser to acquire the equipment while spreading out the financial obligation over time, aligning with their cash flow capabilities and financial strategy.

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Answer:

x = 4 and y = 8

Step-by-step explanation:

It is a simultaneous equation

y = 2x --- (1)

6x - 2y = 8 ---(2)

Using substitution method:

Substitute equ1 into equ2:

6x - 2(2x) = 8

6x - 4x = 8

2x = 8

x = 8/2

x = 4

From equ1: y = 2x, substituting back the value of x, we have:

y = 2(4)

y = 8

By algebra properties, the simplified form of the expression is equal to [2 · e⁽ᵃ⁻¹⁾ˣ · (a · x - 1) - 2 · (eᵃˣ · a · x + e⁻ˣ)] / (2 · e⁻ˣ - 2)².

In this question we find the representation of a rational-like expression involving exponential functions that must be simplified by means of algebra properties. Now we proceed to show the complete procedure for simplification:

[(eᵃˣ · a · x) · (2 · e⁻ˣ - 2) - (eᵃˣ - 1) · 2 · (- e⁻ˣ)] / (2 · e⁻ˣ - 2)²

[2 · e⁻ˣ · (eᵃˣ · a · x) - 2 · (eᵃˣ · a · x) - 2 · (- e⁻ˣ) · eᵃˣ + 2 · (- e⁻ˣ)] / (2 · e⁻ˣ - 2)²

(2 · e⁽ᵃ⁻¹⁾ˣ · a · x - 2 · eᵃˣ · a · x + 2 · e⁽ᵃ⁻¹⁾ˣ - 2 · e⁻ˣ) / (2 · e⁻ˣ - 2)²

[2 · e⁽ᵃ⁻¹⁾ˣ · (a · x - 1) - 2 · (eᵃˣ · a · x + e⁻ˣ)] / (2 · e⁻ˣ - 2)²

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Answer:

Step-by-step explanation:

Let's represent the number of marbles Naga has as "n". Since Panav has three times as many marbles as Naga, we can represent the number of marbles Panav has as "3n".

After Naga loses 5 marbles and Panav buys 10 marbles, the number of marbles Naga has is "n - 5" and the number of marbles Panav has is "3n + 10".

Together, they now have more than 105 marbles, so we can write the inequality: (n - 5) + (3n + 10) > 105

Solving this inequality for n:

n - 5 + 3n + 10 > 105

4n + 5 > 105

4n > 100

So, Naga must have had more than 25 marbles initially.

Answer:

Step-by-step explanation:

let the speed of both the buses be x, x+15

Distance traveled by each bus in 5hrs are 5x and (x+15)*5 as distance = speed * time

Therefore

5x+(x+15)*5=1185

5x+5x+75=1185

x=111

Therefore speed of buses are 111 and 126

11 athletes can finish first or second the track meet in 110 ways

Permutation is an arrangement of a set of objects without repetition where a different order of the same set of objects counts as a different.

How to determine this

When there are 11 athletes at a track meet

In how many ways can they finish first or second

When first choice = 11 possible ways

Second choice will be = 10 possible ways

So, to finish first or second = 11 * 10

= 110 ways

Therefore, there are 110 ways to finish first or second.

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Answer:

Step-by-step explanation:

Answer $1260