If x = 4 units , y = 6 units, and h =5 units, and the area of the rhombus shown above using decomposition

The amount of interest that Baron Blakk would receive in total after eight years would be 6, 118. 03 krona

To find the interest that Baron Blakk received in eight years of savings, we first need to find the future value of the savings. We can do this with the Future value of annuity due formula as this is an annuity and it is an Annuity due as it is paid at the beginning of the year.

The total value after eight years is:

= Amount saved x ( Future value of annuity, interest, number of years)

= 7, 000 x 8. 87

= 62, 118.03 Krona

The interest earned is:

= Total value - ( Amount saved )

=  62, 118.03 - ( 7, 000 x  8 )

= 6, 118. 03 krona

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Answer: a) x=23. b) x=12

Step-by-step explanation:

a) Alternate angles are equal
b) corresponding angles add to 180 degrees

Answer:

Step-by-step explanation:

i wish i knew so i dont really know but i have heard that its 2 inches

The total balance in a year after the simple interest is A = P ( 1 + r )

Given data ,

Let the total balance in a year after the simple interest is A

Now , the multiply the initial balance by (1 + r), where r is the annual interest rate as a decimal.

In this case, the interest rate is 7%, or 0.07 as a decimal.

Therefore, Cameron should multiply his current balance by (1 + 0.07) = 1.07 to find his total balance in a year in one step.

For example, if Cameron's current balance is $10,000, his total balance after one year with simple interest would be:

Total balance = $10,000 x 1.07 = $10,700

Hence , the total balance is given by A = P ( 1 + r )

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The linear equation have the following results: f(- 2) = 0, f(0) = 2, f(1) = 3.

In this problem we find a linear equation that must be evaluated at x = - 2, x = 0 and x = 1. Linear equations are expressions of the form:

y = m · x + b

Where:

Now we proceed to evaluate the function, the results are described:

x = - 2

f(- 2) = - 2 + 2

f(- 2) = 0

x = 0

f(0) = 0 + 2

f(0) = 2

x = 1

f(1) = 1 + 2

f(1) = 3

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From the given table, Player A is the most consistent, with an IQR of 1.5. So, correct option is A.

To find the best measure of variability for this data, we need to consider a measure that is robust and resistant to outliers. The interquartile range (IQR) is a good choice as it is calculated based on the range of values that fall within the middle 50% of the data and is therefore less affected by extreme values.

To calculate the IQR, we first need to find the median, which is the middle value in the dataset. For Player A, the median is 3 and for Player B, the median is 2.5.

Next, we calculate the first quartile (Q₁) and the third quartile (Q₃) which represent the 25th and 75th percentiles of the data, respectively. For Player A, Q₁ is 2 and Q₃ is 3.5, while for Player B, Q₁ is 2 and Q₃ is 4.5.

The IQR is the difference between Q₃ and Q₁. For Player A, the IQR is 1.5 (3.5 - 2) and for Player B, the IQR is 2.5 (4.5 - 2). Therefore, Player A is more consistent as their IQR is smaller, indicating that their runs earned are more tightly clustered around the median.

The range, which is the difference between the largest and smallest values in the dataset, is also a measure of variability, but it is sensitive to extreme values. In this case, the range for Player A is 7 (8 - 1) and for Player B is 5 (6 - 1), but these values do not provide as accurate an indication of consistency as the IQR.

So, correct option is A.

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Complete question is:

The table shows the number of runs earned by two baseball players.

Player A

2, 1, 3, 8, 2, 3, 4, 3, 2

Player B

2, 3, 1, 4, 2, 2, 1, 4, 6

Find the best measure of variability for the data and determine which player was more consistent.

Player A is the most consistent, with an IQR of 1.5.

Player B is the most consistent, with an IQR of 2.5.

Player A is the most consistent, with a range of 7.

Player B is the most consistent, with a range of 5.

The length of the diagonal from the given shape above would be = 12

To calculate the length of the diagonal from P to Q, the Pythagorean theorem should be used such as;

C² = a² + b²

The Pythagorean theorem states that the the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Therefore;

C = ?

a = 8

b = 9

C² = 8²+9²

C² = 64+81

C² = 145

C = √145

= 12.

Therefore, the length of the diagonal P to Q of the given shape above is 12.

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Answer:

Cube

Step-by-step explanation:

A cube is a three-dimensional shape with six square faces that are all congruent to each other. Each face of a cube is perpendicular to the adjacent faces, and all of its edges are the same length.

Answer:

3

Step-by-step explanation:

(15×1)÷5=

Answer:

All of the above.

Quadrilateral's must have at the maximum 4 equal sides, or the minimum 2 equal sides.

a square has 4 equal sides.

a rectangle has 2 equal side. (that add up to 4 because each side is a pair of 2)

a rhombus can be a quadrlaterial depending on the shape.

a parrellelogram mostly have atleast 2 equal sides.

and a trapezoid mostly has atleast 2 equal sides.

Hope this helps!

The perimeter of the figure is as follows

1. 93 cm

2. 42 cm

3. 45 cm

Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the sum of the lengths of all the sides or edges of the shape.

Perimeter is measured in units of length, such as centimeters, meters, or feet, depending on the system of measurement being used.

The perimeter of the figures is solved as follows

1.

= 12 + 15 + 20 + 11 + 7 + 10 + 6 + 12

= 93 cm

2.

= 8 + 12 + 5 + 5 + 12

= 42 cm

3.

= 15 + 15 + 15

= 45 cm

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Step-by-step explanation:

16x²-1 = (4x-1)(4x+1)

4x²-9 = (2x+3)(2x-3)

16x²-4 = 4(2x+1)(2x-1)

4x²-1 = (2x+1)(2x-1)

16x²+1 = (4x+i)(4x-i)

Answer:$2.7 would be saved

Step-by-step explanation:

Multiply 18 by .15 which gives you 2.7 which is the answer.

The symbolic representation of the argument is option B:

An argument in logic can be described as any group of propositions of which one is claimed to follow from the others through deductively valid deductions that preserve truth from the premises to the conclusion. Arguments in logic are typically written in symbolic language.

Considering the given statements:

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A statement that could be expressed as a percent : 'how many of the 100 yogurts in the refrigerator are strawberry'

The correct answer is an option(A)

We know that a part-to-whole ratio is nothing but a ratio that compares a part of a whole to another part of a whole.

And the percent is nothing but a part-to-whole ratio where the whole is 100.

Consider the case 'how many of the 100 yogurts in the refrigerator are strawberry.'

Let us assume that x represents the number of strawberry yogurts out of total 100 yogurts in the refrigerator'

So, a part-to-whole ratio would be x/100

We can observ ethat here whole = 100

So, we could express the number of strawberry yogurts as a percent.

The correct answer is an option(A)

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Answer: An arc whose measure equals 180 degrees is called a semicircle, since it divides the circle in two. Every pair of endpoints on a circle either defines one minor arc and one major arc, or two semicircles. Only when the endpoints are endpoints of a diameter is the circle divided into semicircles.

A semicircle is a two-dimensional geometric shape that consists of a curved arc and a straight line segment that connects the two endpoints of the arc. Here are the steps to identify a semicircle:

Look for a curved arc that forms a half-circle shape.

Locate the center point of the arc, which is also the midpoint of the line segment connecting the two endpoints.

Check that the line segment connecting the endpoints is a diameter of the circle.

Confirm that the arc and line segment together form a continuous, closed shape that divides the circle into two equal halves.

Finally, compare the shape to a circle to make sure that it is only half of a complete circle.

If all of these conditions are met, then the shape is a semicircle.

The result of subtracting 7.06 from 4.25 is -2.81.

Let's see how these steps apply to the problem at hand:

4.25

-7.06

In this case, we don't need to borrow because the top number 4.25 is already smaller than the bottom number 7.06.

Starting from the rightmost column, we subtract 5 from 6. Since 6 is larger than 5, we can subtract 5 from 6 and get 1. We write down 1 in the hundredths column.

Next, we move to the tenths column and subtract 2 from 0. We can't do this, so we need to borrow 1 from the digit in the ones column. The 4 in the ones column becomes 3, and the 2 in the tenths column becomes 12.

Now we can subtract 2 from 12, which gives us 10. We write down 0 in the tenths column and carry 1 to the ones column.

In the ones column, we have 3 - 7 - 1 (the borrowed 1) = -5. Since we can't have a negative number in this position, we need to borrow again from the digit in the tens column. The 2 in the tens column becomes 12, and we bring down the borrowed 1 to the ones column.

Now we can subtract 7 from 12, which gives us 5. We write down 5 in the ones column.

Step 4: Bring down any digits that have not been used.

We don't have any digits left to bring down, so we have finished the subtraction.

Therefore, the result of subtracting 7.06 from 4.25 is -2.81.

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Answer:

4/6 or 2/3 simplified

Step-by-step explanation:

4 ⋅ 1/6=4/6

multiply numerators together and denominators together

4/6

simplify

2/3

Hope this helps :)

To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

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The range of the function graphed above include the following: D. -∞ ≤ y ≤ 2.

In Mathematics and Geometry, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following range and domain:

Range = {-∞, 2} or -∞ ≤ y ≤ 2.

Domain = {-1, ∞} or -1 < x < ∞.

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Regularly depositing the same amount into a savings account can lead to a large rise in the account balance over time with the appropriate plan and dedication.

An undefined number or quantity of something is referred to as an amount and can be used in a variety of different settings. Any number, quantity, length of time, or amount of data can be referred to as an amount. Amount in terms of money refers to the total amount being paid or received. The quantity of physical items is the total number of those items. The length or duration of a work or event can be referred to as the amount in terms of time. The entire quantity of data points or pieces of information is referred to as the amount in terms of data.

Here in the question:

Month | Amount Deposited | Account Balance

1           | 150                           | 150

2          | 150                           | 300

3          | 150                           | 450

4          | 150                           | 600

5          | 150                           | 750

As seen in the table above, after five months, a 150 initial deposit into a savings account can grow to a balance of 750 with monthly deposits of the same amount for the next four months. This demonstrates that consistent saving can have a considerable impact on a savings account's overall balance.

Since interest is calculated using the compounding principle, regular deposits can enhance the amount that can be earned over time. This indicates that interest may be accumulated on both the initial deposit and any prior interest in the account. So, by consistently contributing the same amount of money to a savings account, it is feasible to dramatically raise the account's overall balance.

In conclusion, it is clear that consistent contributions to a savings account can be an excellent strategy to build wealth. Regularly depositing the same amount into a savings account can lead to a large rise in the account balance over time with the appropriate plan and dedication.

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Going from top left to right then bottom left to right

Answers:

1st. answer: 94

2nd. answer: 82

3rd. answer: 142

4th answer: 88.2

5th. answer: 130

6th. answer: 178

(also I relearned how to do triangles)

(I'm going to follow you so if you have any more questions I can help)

In the long run, if a company becomes obsolete and cannot compete effectively in the market, it will eventually exit the market.

This will lead to a reduction in the overall level of industry output and a shift in the market supply curve. As a result, the long-run average total cost (LRATC) of the remaining firms in the market may increase or decrease depending on the specifics of the situation.

If the exiting company had high production costs, its exit may lead to a decrease in the industry's LRATC as the remaining firms may experience a reduction in input prices or an increase in market share. However, if the exiting firm was a low-cost producer, its exit may lead to an increase in the industry's LRATC due to the loss of economies of scale or increased competition.

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The area of 0.6808 to its left using the Standard Normal Table.

steps: 1. Identify the area: In this case, the area to the left of the z-score is given as 0.6808.

2. Consult the Standard Normal Table: This table shows the area to the left of various z-scores, ranging from negative to positive values.

3. Locate the closest area value: Look for the value in the table that is closest to the given area (0.6808). The table is typically organized into rows and columns, with the row header representing the first two digits of the z-score and the column header representing the third digit.

4. Identify the z-score: Once you've found the closest area value, determine the corresponding z-score by combining the row and column headers where the value is located.

Upon checking the Standard Normal Table, the closest area value to 0.6808 is 0.6800, which corresponds to a z-score of 0.47.

Keep in mind that the Standard Normal Table may not have the exact area value of 0.6808, so you need to find the closest possible value.

In summary, the z-score with an area of 0.6808 to its left using the Standard Normal Table is approximately 0.47.

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volumes from liters (L) to milliliters (mL), you can use the conversion factor that 1 L is equal to 1000 mL.

Knowing the relationship between the two units will make converting between litres and millilitres simple. Both litres and millilitres are measurements of a liquid's volume.

The basic measure of liquid capacity is the litre. The liquid volume can also be measured in millilitres, centilitres, and kilolitres. All of these units have different values from one another.

Similar to millilitres, litres also denote volume, however one litre is equivalent to one thousand millilitres (1 L = 1000 mL).

To convert the given volumes from liters (L) to milliliters (mL), you can use the conversion factor that 1 L is equal to 1000 mL. Here are the conversions:

4.27 L = 4.27 x 1000 mL = 4270 mL

0.35 L = 0.35 x 1000 mL = 350 mL

0.06 L = 0.06 x 1000 mL = 60 mL

9.05 L = 9.05 x 1000 mL = 9050 mL

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Answer: The problem states that the proportion of people who throw away a portion of what they buy at the grocery store is p = 0.4. We want to find the probability that the sample proportion exceeds a certain value, which we will denote as p-hat.

The sample size is n = 100, which is large enough to use the normal approximation to the binomial distribution.

The formula for the standard error of the sample proportion is:

SE = sqrt[p * (1 - p) / n]

Substituting the values given in the problem, we get:

SE = sqrt[0.4 * 0.6 / 100] = 0.049

To find the z-score corresponding to a sample proportion of , we use the formula:

z = (p-hat - p) / SE

Substituting the values given in the problem, we get:

z = ( - 0.4) / 0.049 = -2.04

Using a standard normal table, we find that the probability of obtaining a z-score of -2.04 or lower is 0.0207. Therefore, the probability that the sample proportion exceeds is approximately 0.0207, rounded to three decimal places.

Step-by-step explanation:

A company claims that its tablet computers have an average recharge time of 3 hours with a standard deviation of 1.4 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours. H0: µ = 3 Ha: µ < 3 a = 5% σ = 1.4 z* = –1.65.

Based on the given information, we can perform a one-sample z-test to determine if the sample mean of 2.5 hours is significantly different from the claimed population mean of 3 hours, with a significance level of 0.05.

The null hypothesis H0 is that the population mean recharge time µ is equal to 3 hours, and the alternative hypothesis Ha is that µ is less than 3 hours.

We will find the test statistic z using the formula

z = (x - µ) / (σ / √n)

Where x is the sample mean of 2.5 hours, µ is the population mean of 3 hours, σ is the population standard deviation of 1.4 hours, and n is the sample size of 50.

z = (2.5 - 3) / (1.4 / √50) = -2.38

The calculated test statistic z of -2.38 is less than the critical value z* of -1.65 at a significance level of 0.05, indicating that we can reject the null hypothesis H0.

Hence, we can conclude that the mean recharge time of the company tablet computers is less than 3 hours, based on the sample of 50 tablets tested by the consumer group.

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Answer:

x<8

Step-by-step explanation:

...................

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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