how do i find thedegree of a pollygon????

Answer:

8 pounds and 15 oz

Step-by-step explanation:

Answer: 143 oz

Explanation: I searched it.

Answer:

1220

Step-by-step explanation:

80 percent *1525

= (80/100)*1525

= (80*1525)/100

= 122000/100 = 1220

The distance of the point (-7,-4) from x axis is 7 units.

If we put the point (-7,-4) in the cartesian plan then it will lays in the third quadrant . Since the x point is given is -7 which is negative so we have to step forward 7 points to the left side from the origin of the plan. Then the y point is given  -4 which is also negative so after moving 7 steps in the negative x direction we have to step 4 points to negative y direction whic means in the downward direction.

The distance from the x axis is 7 units.

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Answer:

First, in order to subtract these two fractions you must convert it into improper fractions. For the first one, we can convert it by multiplying the denominator by the whole and adding the numerator which would give you 196/8 for the first one and 157/8 for the second one. This equation would now set up as 196/8-157/8 which would be 39/8 and since you need to convert it back into a mixed fraction we need to know how many times 8 can go into 39 which is 4 so 32 and a remainder of 7. Your answer would be 4 7/8

Step-by-step explanation:

(a) The concentration after three doses is 10% + 2.3 mg/l. (b) The formula for the concentration after the nth dose is cₙ = [(cₙ-1 * 10%) + 2.3 mg/l] * 10% + 2.3 mg/l.

(a) Concentration after three doses:

Before the first dose, the concentration is reduced by 90%, so we have 100% - 90% = 10% of the initial concentration remaining.

After the first dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Before the second dose, the concentration is again reduced by 90%, so we have 10% of the concentration from the first dose remaining.

After the second dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Before the third dose, the concentration is reduced by 90% again, so we have 10% of the concentration from the second dose remaining.

After the third dose, the concentration is increased by 2.3 mg/l, resulting in a concentration of 10% + 2.3 mg/l.

Therefore, the concentration after three doses is 10% + 2.3 mg/l.

(b) Formula for cₙ as a function of n:

From the given information, we can observe that the concentration after each dose follows a pattern. Let's denote the initial concentration as c₀.

Before the first dose: c₀

After the first dose: c₀ * 10% + 2.3 mg/l

Before the second dose: c₀ * 10% + 2.3 mg/l

After the second dose: (c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l

Before the third dose: (c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l

After the third dose: [(c₀ * 10% + 2.3 mg/l) * 10% + 2.3 mg/l] * 10% + 2.3 mg/l

We can observe a recurring pattern. The concentration after each dose can be expressed as:

cₙ = [(cₙ-1 * 10%) + 2.3 mg/l] * 10% + 2.3 mg/l

This formula allows us to calculate the concentration after any given dose, where cₙ represents the concentration after the nth dose.

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Answer:

The answer is

-15: I owe $10. I owe $5.

Answer:

The first answer, or a.....

The correct interpretation, based on the calculated 95% confidence interval is we can be 95% certain that the true population mean lies within our 95% confidence interval. Option c is correct.

A 95% confidence interval means that if we were to repeat the study multiple times and calculate a confidence interval each time, approximately 95% of those intervals would contain the true population mean. In this case, since the confidence interval was not specified, we assume it is centered around the sample mean of 16 hours.

The interpretation does not support the options of the true population mean being less than 100 or precisely equal to 100. Furthermore, since we have estimated the population mean based on the sample, it is possible to make an estimate using the confidence interval.

Therefore, c is correct.

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After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large, the best recommendation is c. Increase the sample size.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specific confidence level; the 95% confidence level is the most commonly used, but other levels, such as 90% or 99%, are also used.

Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. A researcher, for example, may randomly select different samples from the same population and compute a confidence interval for each sample to determine how well it may represent the true value of the population variable. The resulting datasets are all unique, with some intervals containing the true population parameter and others not.

In this case, the sample size should be increased when the results are meaningless because the width of the interval is too large.

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Complete questions

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?

a. Increase the level of confidence for the interval

b. Decrease the sample size

c. Increase the sample size

d. Reduce the population variance

Answer:

The correct answer is A. 7625

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer: Hii <3

11/10 is your answer i believe

Step-by-step explanation:

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

hopefully this helps you !

- Matthew ~

Answer:

The value of x = 11/10 or 1.1

Step-by-step explanation:

5x+3/-2 =4

=> 5x -3/2 = 4

=> 5x = 4 + 3/2

=> 5x = (8+3)/2

=> 5x = 11/2

=> x = 11/10 or 1.1

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Answer:

its the second and the 3rd one I think

Step-by-step explanation:

Answer:

A and C is correct

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

The ratio of C:D:F is 5:3:18.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

The ratio of C:D is 5:3,

the ratio of F:D is 6:1.

i.e. F:D= 18:3

now,

C:D:F= 5:3:18.

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Hello!

\(\large\boxed{4 : 3 \text{ and } 16 : 12}\)

We can go through each answer to verify whether each is equivalent to 8 : 6.

4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6  by a factor of 2 yields 4 : 3.

6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.

16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.

10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:

10 ÷ 8 = 1.25

8 ÷ 6 = 1.33. Therefore, they are unequal.

7 : 5 is not equal to 8 : 6 for the same reason.

The only correct choices are:

4 : 3 and 16 : 12.

Answer:

x = 7

y = 3

Step-by-step explanation:

\(\triangle ABC\) is an equilateral triangle so that means all sides are equal

which means

\(AB= BC=AC\\\\7=x\)

now in \(\triangle ACD\)  is an isosceles triangle so that means opposite sides to the angles that have the same measure are equal

which means

\(AC=CD\\\\AC = y+4\)

now remember that AC is a side of the equilateral \(\triangle ABC\) so AC = 7

solving for y

\(7=y+4\\\\7-4 = y\\\\3=y\)

so

\(x = 7\\\\y = 3\)

a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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Answer:

Step-by-step explanation:

4 x 3 + 3 x 5 - 13: 7

12+15-62748517

=-62748490

Answer:

-3

Step-by-step explanation:

The annual percentage yield (APY) to the nearest thousandth of a percent is approximately 4.642%.

To solve the given problem, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial investment)

r is the annual interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the number of years

a. To find the amount after 4 years, we can substitute the values into the formula:

A = 28000(1 + 0.045/4)^(4*4)

Calculating inside the parentheses first:

A = 28000(1 + 0.01125)^(16)

Evaluate (1 + 0.01125)^(16):

A ≈ 28000(1.19235)

A ≈ $33,389.80

Therefore, the amount after 4 years is approximately $33,389.80.

b. To calculate the interest earned, we subtract the principal amount from the final amount:

Interest earned = A - P

Interest earned = $33,389.80 - $28,000

Interest earned = $5,389.80

The interest earned after 4 years is $5,389.80.

c. To find the amount after 1 year, we substitute the values into the formula:

A = 28000(1 + 0.045/4)^(4*1)

Calculating inside the parentheses first:

A = 28000(1 + 0.01125)^(4)

Evaluate (1 + 0.01125)^(4):

A ≈ 28000(1.045)

A ≈ $29,260

Therefore, the amount after 1 year is $29,260.

d. To calculate the interest earned after 1 year, we subtract the principal amount from the final amount:

Interest earned = A - P

Interest earned = $29,260 - $28,000

Interest earned = $1,260

The interest earned after 1 year is $1,260.

e. The annual percentage yield (APY) is a measure of the effective annual rate of return, taking into account the compounding of interest. To calculate the APY, we can use the formula:

APY = (1 + r/n)^n - 1

Where r is the annual interest rate and n is the number of times the interest is compounded per year.

In this case, the annual interest rate is 4.50% (or 0.045) and the interest is compounded quarterly (n = 4).

Plugging in the values:

APY = (1 + 0.045/4)^4 - 1

Using a calculator or software to evaluate (1 + 0.045/4)^4:

APY ≈ (1.01125)^4 - 1

APY ≈ 0.046416 - 1

APY ≈ 0.046416

To convert to a percentage, we multiply by 100:

APY ≈ 4.6416%

The annual percentage yield (APY) to the nearest thousandth of a percent is approximately 4.642%.

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Step-by-step explanation:

\(x = \frac{ - (b) \frac{ + }{} \sqrt{ {(b)}^{2} - 4(a)(c) } }{2(a)} \)

The tax multipliers from the MPC's and MPS's are

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

The MPC's and MPS's

The tax multipliers is calculated using

Tax multiplier = -MPC / (1 - MPC) or

Tax multiplier = - (1 - MPS) / MPS

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

MPC = 0.90

Tax multiplier = -0.90/(1 - 0.90)

Tax multiplier = -9

MPS = 0.20

Tax multiplier = -(1 - 0.20)/0.20

Tax multiplier = -4

MPC = 0.75

Tax multiplier = -0.75/(1 - 0.75)

Tax multiplier = -3

MPS = 0.50

Tax multiplier = -(1 - 0.50)/0.50

Tax multiplier = -1

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The price of gasoline in US dollars per gallon is approximately $7.96.Summary: To calculate the price of gasoline in US dollars per gallon, given the price of 2.11 euros per liter, we need to convert euros to US dollars and liters to gallons using the provided conversion rates.

To convert euros to US dollars, we use the conversion rate 1 US dollar = 0.7564 euro. Therefore, 1 euro is equivalent to 1/0.7564 US dollars.
To convert liters to gallons, we use the conversion rate 4 quarts = 1 gallon, and 1 liter = 1.0567 quarts. Therefore, 1 liter is equivalent to 1.0567/4 gallons.
Now, let's calculate the price of gasoline in US dollars per gallon:
Price in US dollars per gallon = (2.11 euros/liter) * (1/0.7564 US dollars/euro) * (1.0567/4 gallons/liter)
After performing the calculations, we get the price of gasoline in US dollars per gallon.
In conclusion, the price of gasoline in US dollars per gallon will be the result of the above calculation.The price of gasoline in US dollars per gallon is approximately $7.96.

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Answer:

1) 25 °

Step-by-step explanation:

Two angles are complementary when the measure of the angles between sum up to 90°;

   Given;

  Angle 1  = a

  Angle 2  = b

        a  = 15 + 2b

 Angle a + Angle b  = 90°  

         15 + 2b + b  = 90

          15 + 3b  = 90

                 3b  = 90 - 15

                 3b  = 75

                    b  = 25°

The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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The correct answer is C. Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has fewer solution variables than equations:

x_2 = 4

x_1 + x_2 = 6

To illustrate this, let's solve the system of equations:

From the first equation, we have x_2 = 4.

Substituting this value into the second equation, we get:

x_1 + 4 = 6

Simplifying, we find:

x_1 = 2

Therefore, the solution to the system of equations is x_1 = 2 and x_2 = 4. This ordered pair satisfies both equations, making the system consistent.

In this case, even though we have more equations (2 equations) than unknowns (2 unknowns), the equations are not contradictory or incompatible. The system has a unique solution, and it is consistent.

It is important to note that not all overdetermined systems are consistent. If the equations are contradictory or incompatible, the system will be inconsistent. Inconsistent overdetermined systems typically have more equations than unknowns and lead to contradictions.

In summary, an overdetermined system can be consistent if the equations allow for a solution that satisfies all the equations. The consistency of the system depends on the specific equations involved and their relationship to one another.

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