Object 1: Cereal Box 3D shape: Rectangular Prism Dimensions: length = 12 inches width = 8 inches height = 1.75 inches

find the Formula for area and the base area

Answer:

c

Step-by-step explanation:

quadratic formula:  -b±√b²-4ac/ 2a

a= -10

b= 12

c= -9

-12±√144- 4(-10)(-9)/ 2(-10)

-12±√144- 360/ -20

-12±√-216/-20

6±3i√6/ 10

simplify: 3/5± 3i√6/10

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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The solution in set-roster notation are as follows: 1. A∪(B∩C) = {a, b, c, d, e}  2. (A∪B)∩C = {b, c}  3. (A∪B)∩(A∪C) = {a, b, c}

To find A∪(B∩C), we start by calculating B∩C, which represents the intersection of sets B and C. The common elements between B={b, c, d} and C={b, c, e} are b and c. Therefore, B∩C={b, c}. Next, we take the union of set A={a, b, c} with the result of B∩C. The union of A and B∩C gives us {a, b, c, d, e}, which is the final answer for A∪(B∩C).

Moving on to (A∪B)∩C, we first find the union of sets A and B. The union of A={a, b, c} and B={b, c, d} gives us {a, b, c, d}. Then, we take the intersection of this union with set C={b, c, e}. The common elements between {a, b, c, d} and C are b and c. Therefore, (A∪B)∩C={b, c}.

Lastly, we calculate (A∪B)∩(A∪C). We start by finding the union of A and B, which gives us {a, b, c, d}. Then, we calculate the union of A and C, resulting in {a, b, c, e}. Finally, we find the intersection of these two unions, which gives us {a, b, c}. Hence, (A∪B)∩(A∪C)={a, b, c}.

In summary:

- A∪(B∩C) = {a, b, c, d, e}

- (A∪B)∩C = {b, c}

- (A∪B)∩(A∪C) = {a, b, c}

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35,500-27,500= 8000 meaning $8,000 is the profit and the percentage is %35

Answer:

\(\frac{dy}{dx}=\frac{-y\sin xy}{1+\sin xy}\)

Step-by-step explanation:

\(\frac{dy}{dx}=-\frac{d}{dx} (xy) \sin(xy) \\ \\ =-\left(x \frac{dy}{dx}+y \right) \sin(xy) \\ \\ =-x \frac{dy}{dx} \sin(xy)-y\sin(xy) \\ \\ \frac{dy}{dx}(1+x\sin(xy))=-y \sin xy \\ \\ \frac{dy}{dx}=\frac{-y\sin xy}{1+\sin xy}\)

Given:

Two pentagons are similar.

Required:

To find the value of x.

Explanation:

Write proposition,

Substitute the given values, we get

Final Answer:

The value of x is,

Answer: 9.2

Step-by-step explanation:

d = sqrt ((x2-x1)^2 (y2-y1)^2)

d = sqrt (85)

d = 9.219544

The number of hours in a week a student played basketball is \(11\frac{3}{8}\).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, One week a student exercised 3 hours at school and another 1/4 of an hour at home.

Also given that 1/4 of the exercise of a student came from playing basketball.

Therefore, Time playing basketball is one-fourth of the total time exercised which is,

= (3 + 1/4)×(1/4).

= (13/4)×(1/4).

= (13/8).

Therefore, In a week the student played (13/8)×7.

= 91/8.

= \(11\frac{3}{8}\).

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The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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The area of the composed rectangle and the semicircle is 92.56 square units.

Area of rectangle and semicircle

The formula for the Area of a Rectangle.

A = l × w.

where l refers length and w refers width of the rectangle

The area of a semicircle refers the half of the area of the circle. Therefore, the area of a semicircle is 1/2(πr²), where r is the radius.

Given,

Here we have the figure below composed of a rectangle and a semicircle And we need to find the area of this figure then round to the nearest tenth place.

Here we know the following values,

Length of the rectangle = 10

Width of the rectangle = 8

Diameter of the circle = 8

Through the given diameter we have identified the radius as 4.

Now, the area of the rectangle is calculated as,

A = 10 x 8

A = 80 square units.

Similarly, the area of the semicircle is

A = 1/2 (π x 4²)

A = 1/2 x π x 8

A = π x 4

We know the value of π = 3.14, then the area of the semicircle is,

A = 3.14 x 4

A = 12.56 square units.

Therefore, the are of the figure is,

Total area = area of rectangle + area of semicircle

Total area = 80 + 12.56

Therefore, the total area of the figure is 92.56 square units.

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Answer:

3√5

Step-by-step explanation:

Hence, the square root of 45 can be expressed as, √45 = √(9 × 5) = 3√5. 45 is not a perfect square, hence, it remains within roots. The simplified radical form of the square root of 45 is 3√5.

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.

To find the equation of a straight line passing through two given points, we use the point-slope form of the equation of a line:

                             =>  (y - y₁) = m(x - x₁)

Where (x₁, y₁) is one of the given points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Here we have

The straight  line passing through (5,-5) and (-3,7)​

From the given points the slope of the line can be found as follows

m = (y₂ - y₁)/(x₂ - x₁) = (7 - (-5))/(-3 - 5) = 12/-8 = - 3/2

Using the above formula,

=> y - (-5) = -3/2 (x - 5)

=> y + 5 = -3x/2 + 15/2

=> 2(y + 5) = - 3x + 15

=> 2y + 10 = -3x + 15

=> 3x + 27 - 5 = 0

Therefore,

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.  

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Answer

105 - 30 +50 - 20 =105 feet

Step-by-step explanation:

Answer:

division is required on left side

Step-by-step explanation:

24 _ - \(\frac{3}{4}\)

consider 24 ÷ - \(\frac{3}{4}\)

change division to multiplication and turn fraction upside down

= 24 × - \(\frac{4}{3}\)

= 8 × - 4

= - 32 ← equals value on right side

We found that the variation constant, k, is equal to 2. Using the inverse variation formula, we derived the equation of variation as y = 2/x.

When a quantity varies inversely with another quantity, it means that as one value increases, the other value decreases, and their product remains constant. To find the variation constant and equation of variation for the given situation where y varies inversely as x, and y = 14 when x = 1/7, we can use the formula for inverse variation:

y = k/x

where k is the variation constant.

Given that y = 14 when x = 1/7, we can substitute these values into the equation:

14 = k/(1/7)

To solve for k, we can multiply both sides of the equation by (1/7):

14 * (1/7) = k

2 = k

Therefore, the variation constant, k, is 2.

Now we can write the equation of variation:

y = 2/x

This equation represents the inverse variation relationship between y and x, where the product of y and x is always equal to 2. As x increases, y decreases, and vice versa, maintaining the constant value of 2.

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Answer:

Les trois nombres sont 5, 6 et 7.

Step-by-step explanation:

Soit x le premier nombre.

x + 1 sera le second et x + 2 sera le troisième.

On pose l'équation :

2x + 3(x + 1) = 4(x + 2)

2x + 3x + 3 = 4x + 8

5x - 4x = 8 - 3

x = 5

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

an = 8n − 65 is the correct answer

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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Answer:

42 inches

Step-by-step explanation:

convert 14ft into inches and then divide by 4

Answer:

Step-by-step explanation:

The slope is in the given line. It is the number in front of the x which is 3.

So far what you have is

y = 3x + b

Now use the point to find b

x = 2

y = 2

Substitute

y = 3*2 + b

2 = 6 + b

2 - 6 = b

b = - 4

y = 3x - 4

Answer: 6 more times!

Step-by-step explanation:

The correct option is B. The approximate average age of kindergarteners in the state is 5 years 10 months.

The Assumption Method (also known as that of the Supposition Method) would be a Singapore Math problem-solving method in which you assume an extreme condition to solve a problem that you may otherwise solve using the Guess and Check method.

The working of assumption is based upon following factors;

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The complete question is-

Select the correct answer. A school administrator wants to know the average age of the 25,000 kindergarteners in her state at the beginning of the school year. She randomly selects 1,000 kindergarteners in the state, assuring that the group accurately represents all kindergarteners in the state, and finds the average age to be 5 years 10 months. What assumption can she make regarding the approximate average age of all kindergarteners in the state?

A. The approximate average age of kindergarteners in the state is less than 5 years 10 months.

B. The approximate average age of kindergarteners in the state is 5 years 10 months.

C. The approximate average age of kindergarteners in the state is greater than 5 years 10 months.

D. No assumptions can be made regarding the average age of kindergarteners in the state because the sample is biased.

Answer:

the answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just took the test

Answer:

unlikely

Step-by-step explanation:

at first write the first coefficient just below it then multiply with 2 ( if there is x-2 we should take 2 and vice versa ) keep repeating this process