4 times as much as 20.075

Answer:

m∠C = 102°

Step-by-step explanation:

This is a quadrilateral inscribed in a circle

The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

We know what m∠B

We have external angles outside the circle.

m∠CDA is opposite m∠B

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

m∠CDA is the sum of m∠CD and m∠DA

m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

m∠DAB is an exterior angle also, hence,

m∠DAB is the sum of m∠DA and m∠AB

m∠DAB = m∠DA + m∠AB

m∠DAB = 84° + 120°

m∠DAB = 204°

Finally we can solve for m∠C

m∠DAB is Opposite m∠C

So, m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

--------------------------------------------------------

Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)

If side JM = 30 and side LM = 8, the length of side KM is equal to 15.49 units.

In this exercise, we would assign the variable x to the length of side KM. Based on the information provided about triangle JKM and triangle KML, we can logically deduce the following parameters;

Side JL = [(30 + 8) × x]/2

Side JL = 38x/2

Side JL = 19x.

Since point M is the perpendicular bisector of both triangle JKM and triangle KML, the length of side KM can be calculated as follows;

19x = √[(30² + x²)(x² + 8²)]/2

38x = √[(30² + x²)(x² + 8²)]

By taking the square of both sides, we have:

38²x² = (900 + x²)(x² + 64)

38²x² = 900x² + 57,600 + x⁴ + 64x²

38²x² = 964x² + 57,600 + x⁴

(x² - 240)² = 0

x² = 240

x = √240

x = 15.49 units.

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The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.

The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.

In the distance traveled by Pacman, the constant of proportionality can be found by the formula:

= Distance traveled / Time traveled

= 18 feet / 6 seconds

= 3 feet per second

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The most specific shape is rhombus for the co-ordinates A(8,3) B(7,8) C(2,7) D(3,2).

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

We have four co-ordinates,

A(8,3) B(7,8) C(2,7) D(3,2).

The length of the segment AB = √{(8 - 7)² + (3 - 8)²} = √26 units.

The length of the segment BC = √{(7- 2)² + (8- 7)²} = √26 units.

The length of the segment CD = √{(2 - 3)² + (7 - 2)²} = √26 units.

The length of the segment AD = √{(8 - 3)² + (3 - 2)²} = √26 units.

That means, all the sides are equal.

Now, let the slope of AC = slope of BD

(7 - 3)/(2 - 8) ≠ (2 - 8)/(3 - 7)

The slope of the diagonal is not equal.

Therefore, the shape is rhombus.

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Answer:

Step-by-step explanation:

V≈24543.69

Answer:

1250

Step-by-step explanation:

50×25=1250 hope it helps

Answer:  The length of each side of the square is 11 cm.

The system of first order differential equation are,

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

To describe the behavior of x1, x2, and x3 (where xi denotes the ounces of salt in each tank) we can use a system of first order differential equations. Let's denote the rate of change of salt in each tank as dx1/dt, dx2/dt, and dx3/dt respectively.

Then, we can write the system of differential equations as:

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

where k1, k2, k3, and k4 are constants that represent the rates of salt transfer between the tanks.

This system of first order differential equations describes how the ounces of salt in each tank change over time.

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Answer:

\({ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}\)

When a pair of parallel lines is intersected by a transversal, then

Corresponding angles are equal.

∠2 and ∠6 are corresponding angles.

So, m∠2 = m∠6

=> m∠2 = 123.5°

We know that linear pair of angles are supplementary (180°).

∠1 and ∠2 are linear pair of angles.

So, m∠1 + m∠2 = 180°

=> m∠1 + 123.5° = 180°

=> m∠1 = 180° - 123.5°

=> m∠1 = 56.5°

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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In a triangle CEF, CE and CF are the sides, while EF is the base. Let's denote the side lengths as follows:CE = xEF = yCD = zFD = wCF = pLet's start with the smallest side length. Since CE and CF are the sides of the triangle, their lengths must be greater than the base, EF. So EF is the smallest of the five side lengths.

Therefore, the order of the side lengths from smallest to largest is:EF < x < z < p < wLet's now find a way to order the remaining four side lengths. Since CEF is a triangle, the length of one side must be less than the sum of the other two sides.

We can use this property to compare the remaining four side lengths.x + y > zx + p > wz + p > wz + y > wSince x and y are greater than EF, we can use x + y > z to conclude that z is the smallest of the remaining side lengths. Thus, the order of the side lengths from smallest to largest is:EF < z < x < p < wFinally, we have to order x, p, and w.

To do this, we can use the inequalities x + p > w and p + w > x, which we get from the triangle inequality. These inequalities tell us that the sum of any two of the side lengths must be greater than the third.

Therefore, we can conclude that:p + w > xp + x > wp > x - pSince w is greater than x - p, the largest side length is w. Therefore, the final order of the side lengths from smallest to largest is:EF < z < x < p < w.

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Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Answer:

Step-by-step explanation:

This is a horrible credit union  they charged $3, just for her to have access to her own money, then they overdraft fee charged  her for $20  :/   she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money,  it made her also get the overdraft fees.  This seems like usery to me and this bank should be closed.  Fined ,  and barred from doing business.  >:/  

so on the 11th she was -23  dollars,  she was in debt to her bank 23 dollars,  

88-23=65

on the 16th she was 65-43 = 22    postive :)

Answer:

My answer would be Frothy-five thousand and one hundred (45,100).

Step-by-step explanation:

The measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

Given the building is 290 feet tall and casts a 100 foot shadow.

Let x be the angle formed between the end of the shadow and the vertical side of the building.

Therefore, we can construct the following diagram;

From the diagram;

The tangent function relates the angle and the opposite side of a right triangle.

Therefore;

Tangent = opposite/adjacent

Tangent x = opposite/adjacent

Tangent x = 290/100

We can now take the inverse tangent of both sides;

x = tan^-1 (290/100)

x = 71.57 degrees, correct to two decimal places.

Therefore, the measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

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Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.

Step-by-step explanation:  The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.

So any other number could be a possibility.

Answer:

y>3

Step-by-step explanation:

9>-3y

3<y

y>3

Answer:

-3 < y

Step-by-step explanation:

11 > -3y + 2

Subtract 2 from each side

11-2 > -3y + 2-2

9> -3y

Divide by -3 remembering to flip the inequality

9/-3 < -3y/-3

-3 < y

The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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The total amount of money you will have at retirement using the standard annuity formula is  $30830355.69.

To calculate the amount of money you will have at retirement, we can use the standard annuity formula with yearly contributions.

First, let's calculate the yearly contribution to the stock market.

Since social security takes 12.6% of your pay, your annual contribution to the stock market will be 12.6% of your yearly salary, which is $50,000.

Annual contribution to stock market

= 0.126 * $50,000

= $6,300

Next, let's calculate the total number of years from your birth date (9/1/1997) to your retirement date (9/1/2062).

Total number of years

= 2062 - 1997

= 65 years

Now, let's calculate the total amount of money you will have at retirement using the standard annuity formula. We'll assume an average annual growth rate of 10% for the stock market.

Total amount at retirement = Annual contribution to stock market * ((1 + growth rate)^number of years - 1) / growth rate

Total amount at retirement = $6,300 * ((1 + 0.10)^65 - 1) / 0.10
Total amount at retirement = $30830355.69.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The exponential model for the data is y = 153.07 ⋅ 0.93ˣ and the pulse rate after 16 minutes is 47.93

Given that

X: 0, 2,4,6,8,10,12

Y: 172,132,110,92,84,78,75

Using a graphing calculator to find an exponential model, we have

y = 153.07 ⋅ 0.93ˣ

When the number of minutes is 16, we have

y = 153.07 ⋅ 0.93¹⁶

Evaluate

y = 47.93

Hence, the pulse rate after 16 minutes is 47.93

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Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

Answer:

(-4,-5)

Step-by-step explanation:

\(x+4y=-24\\ x=-24-4y\)

\(x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5\)

\(x=-24-4(-5)\\ =-24+20\\ =-4\)

Answer:

No image

Step-by-step explanation:

The problem presents a choice between receiving $22,000 in 20 years or $820 today. We are asked to determine the present value of $22,000 using a discount rate of 18 percent and determine which offer is more favorable. It would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years

a-1. To calculate the present value of $22,000, we can use the formula for present value (PV) which is given by PV = FV / (1 + r)^n, where FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.18)^20. Evaluating this expression, we find the present value to be approximately $1,779.82.

a-2. Comparing the present value of $22,000 ($1,779.82) to the immediate offer of $820, we can see that the present value is significantly lower. Therefore, based on financial calculations, it would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years.

Note: It is important to consider that financial decisions may involve various factors and considerations beyond the scope of this analysis, such as individual financial goals, risk tolerance, and alternative investment opportunities.

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Answer:

By eating plants or other animals that contain nitrogen