what is the greatest common factor of 36 6 and 48​

Answer:

125 ml

Step-by-step explanation:

250 ml is required to make 8 pancakes, so in order to make half as many pancakes, you will need half as much milk.

250 ÷ 2 = 125

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.

Answer:

Did we mention that he's 13 years old?

Step-by-step explanation:

Did this in middle school 1 year ago it right

A measurable loss of height is an assessment finding in a 65-year-old patient that alerts the nurse to the presence of osteoporosis.

Osteoporosis is a condition characterized by the loss of bone density and strength, leading to increased fragility and risk of fractures. Among the given options, option C, "a measurable loss of height," is a key assessment finding that indicates the presence of osteoporosis. Osteoporosis can cause compression fractures in the spine, leading to a decrease in height. As the bones in the spine weaken and collapse, it can result in a noticeable loss of height over time. This can be measured and documented during a physical assessment.

Frequent falls (option A) may not necessarily be a specific indication of osteoporosis, as falls can occur due to various factors. Aversion to dairy products (option B) may suggest a potential deficiency in calcium intake, which can contribute to osteoporosis, but it alone is not a conclusive sign. Bowed legs (option D) may be related to other conditions but are not a direct indicator of osteoporosis.

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The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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Answer:

Step-by-step explanation:yes

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.

2311/3740

34 = 2×17

55 = 5×11

LCM = 2×5×11×17 = 1870

⁵⁵⁾21/34 = ²⁾1155/1870 = 2310/3740

³⁴⁾34/55 = ²⁾1156/1870 = 2312/3740

2310/3740 < 2311/3740 < 2312/3740

The account will be worth approximately $3,031,223.28 after 35 years.

To calculate the future value of the account after 35 years, we can use the formula of compound interest for the future value of an ordinary annuity.

Given that the investor plans to invest $5000 at the end of each year, and the account pays 15% per year, we can calculate the future value as follows:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV is the future value of the account

P is the annual payment or investment amount ($5000 in this case)

r is the annual interest rate (15% or 0.15)

n is the number of years (35 in this case)

Plugging in the values into the formula, we have:

\(FV = $5000 * [(1 + 0.15)^{35} - 1] / 0.15\)

Calculating this expression, the future value of the account after 35 years is approximately $3,031,223.28.

Therefore, the account will be worth approximately $3,031,223.28 after 35 years.

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Answer:

x = 70.53 degrees

Step-by-step explanation:

equation:

cos-1 = \(\frac{adjacent}{hypotenuse}\)

⇒ cos-1 x = \(\frac{4}{12}\)

⇒ cos-1 x = 0.33

⇒ x = 70.528

round to the nearest tenth:

⇒ 70.53

Answer:

90

Step-by-step explanation:

50+20+20=90

pls vote me brainliest i need the points.

A. P(62 or over and has a loan)= 4.05%

B. P(has a loan)=48.6%

C.  P(62 or over and has a loan)=0.486

15% of the population are 62 or over

27% of those 62 or over have loans

54% of those under 62 have loans

To find the probabilities that a person fits into the following categories:

a) 62 or over and has a loan:

P(62 or over) = 15% = 0.15

P(62 or over and has a loan) = P(62 or over) * P(have a loan|62 or over)

= 0.15 * 0.27

= 0.0405 or 4.05%

b) Has a loan:

P(has a loan) = P(62 or over) * P(have a loan|62 or over) + P(under 62) * P(have a loan|under 62)

= 0.15 * 0.27 + 0.85 * 0.54

= 0.486 or 48.6%

c) P(62 or over and has a loan) = P(62 or over) * P(have a loan|62 or over)

= 0.15 * 0.27

= 0.0405 or 4.05%

P(62 or over) = 0.15 and P(have a loan) = 0.486

So, P(62 or over and has a loan) ≠ P(62 or over) * P(have a loan)

Hence, the events that a person is 62 or over and that the person has a loan are not independent.

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Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

x=-y

Step-by-step explanation:

\(\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^{pq}=4^{2\cdot 4}= 4^{8}=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^{pq}=2^{4\cdot2} =256\)

Answer: Incorrect

Step-by-step explanation:

Your friend Frans' claim is incorrect. A row of zeros in the reduced matrix means that the corresponding equation in the system is redundant and does not provide any additional information. This does not necessarily mean that the system does not have a unique solution. In fact, a row of zeros in the reduced matrix is common when solving systems of linear equations using Gaussian elimination, and it can still lead to a unique solution or even an infinite number of solutions. Therefore, Frans' claim is wrong.

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

To determine Fred and Ginger's tax liability for 2021, we will use the tax formula and consider the various items of income and expenses provided. Let's go through each category step by step:

Calculate Adjusted Gross Income (AGI):

AGI = (Fred's Salary) + (Ginger's Salary) + (Interest Income on State of Arizona Bonds) + (Interest Income on US Treasury Bonds) + (Qualified Cash Dividends) + (Share of Hollywood Corporation S Corporation Income) + (Short-term Capital Gains) + (15% Long-term Capital Gains) + (Share of RKO Partnership Loss) + (Life Insurance Proceeds)

AGI = $110,000 + $125,000 + $3,000 + $8,000 + $6,000 + $30,000 + $5,000 + $30,000 + (-$10,000) + $150,000

AGI = $547,000

Determine Itemized Deductions:

Itemized Deductions = (Home Mortgage Interest) + (Home Equity Loan Interest) + (Vacation Home Loan Interest) + (Car Loan Interest) + (Home Property Taxes) + (Vacation Home Property Taxes) + (Car Tags) + (Arizona Sales Taxes Paid) + (Medical Insurance Premiums) + (Unreimbursed Medical Bills) + (Charitable Contributions)

Itemized Deductions = $18,000 + $6,000 + $8,400 + $3,000 + $6,000 + $1,800 + $950 + $6,500 + $12,000 + $10,000 + $12,000

Itemized Deductions = $95,650

Calculate Taxable Income:

Taxable Income = AGI - Itemized Deductions

Taxable Income = $547,000 - $95,650

Taxable Income = $451,350

Determine Tax Liability using the Tax Table or Tax Formula:

Based on the provided information, we'll assume Fred and Ginger are filing as Married Filing Jointly for 2021. Using the tax brackets and rates for that filing status, we can calculate their tax liability. Please note that the tax rates and brackets are subject to change, so it's important to refer to the most recent tax regulations.

Tax Liability = (Tax on 10% Bracket) + (Tax on 12% Bracket) + (Tax on 22% Bracket) + (Tax on 24% Bracket)

The taxable income falls into multiple brackets, so we'll calculate the tax liability for each bracket separately:

Tax on 10% Bracket: $0 - $19,900 = $0

Tax on 12% Bracket: $19,901 - $81,050 = ($81,050 - $19,900) * 0.12

Tax on 22% Bracket: $81,051 - $172,750 = ($172,750 - $81,050) * 0.22

Tax on 24% Bracket: $172,751 - $451,350 = ($451,350 - $172,750) * 0.24

Calculate the total tax liability:

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

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Answer: 1800 Minutes

Step-by-step explanation: 360 x 5 = 1800

Answer:

1800 minutes

Step-by-step explanation:

360×5=1800 minutes.

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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The statistic which is most appropriate in the given situation is Mode.

Mode is defined as the statistical method which gives the value of an entity that occurs the greatest number of times in a set of values of data. For example, if the marks of 5 students scored in a test are given as 35, 45, 35, 35, 50 then the mode of the given set of data is 35 as it occurs the maximum number of times. Here, the student is sure that the principal will call out the name of a certain number of tables very often. She keeps track of the tables over 21 days and as the table number was called out for the maximum number of times within 21 days the value of the table number will be given by the Mode of the data.

Thus, the most suitable method is Mode.

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Answer: 132 with a remainder of 5

Step-by-step explanation: 137/6 gives us 22 an multiplying 22x6 gives us 132 leaving us with a remainder of 5.

Answer:

He can sell 22 groups of crickets and have 5 left over

Step-by-step explanation:

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

Answer:

one

took the quiz on k12 and got it right

The total number of roots of each polynomial function as required in the task content are as follows;

The degree of a polynomial very much determines the number of roots such polynomial function would have.

In this light, if the degree of a polynomial function, P(x) is n; it follows that the total number of roots of the function is; n.

The number of roots of the polynomial function are therefore as follows;

For f(x) = 3x⁶ + 2x⁵ + x⁴ + 2x³

Since the degree is 6; Total number of roots = 6.

For g(x) = 5x - 12x² + 3

Since the degree is 2 as it is a quadratic function; Total number of roots = 2.

For f(x) = (3x⁴ + 1)² = 9x⁸ + 6x⁴ + 1

Since the degree is 8; Total number of roots = 8.

For g(x) = (x - 5)² + 2x³

Since the degree is 3; Total number of roots = 3.

Ultimately, the total number of roots for each of the given functions are as listed above.

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This isnt an answer but a thank you, Thank yooouuuuuu

Duncan is approximately 10.8 kilometers away from his grandparents' house, if necessary, rounding to the nearest tenth.

Based on the given information, we can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance from Duncan's house to his parents' house (6 km) and the distance from his parents' house to his grandparents' house (9 km) form the two shorter sides of the triangle. To find the distance between Duncan's house and his grandparents' house, we will calculate the hypotenuse:
h² = 6² + 9²
h² = 36 + 81
h² = 117
h ≈ 10.8

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Duncan is approximately 6.7 km from his grandparents' house (rounded to the nearest tenth).

We can use the Pythagorean theorem to find the distance between Duncan's house and his grandparents' house.
Identify the triangle
In this problem, we have a right triangle with legs of 6 km (due north) and an unknown length (due east).

The hypotenuse is the straight-line distance of 9 km from his parents' house to his grandparents' house.
Apply the Pythagorean theorem.
The Pythagorean theorem states that a² + b² = c², where a and b are the legs of the triangle, and c is the hypotenuse. In this case, a = 6 km, b = unknown, and c = 9 km.
Solve for the unknown distance (b)
6² + b² = 9²
36 + b² = 81
b² = 81 - 36
b² = 45
b = √45
b ≈ 6.7 km.

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Answer:

the answer is here

Step-by-step explanation:

180- 68

=112

Answer:

\(No.\ of\ Math\ Problems=26\\\ No.\ of\ Science\ Problems=16\)

Step-by-step explanation:

\(In\ order\ to\ construct\ equations,\ we\ need\ to\ set\ variables.\\Hence,\\Let\ the\ no.\ of\ Math\ problems\ be\ x\\Let\ the\ no.\ of\ Science\ problems\ be\ y\\We\ are\ given\ that,\\No.\ of\ Math\ problems\ +No.\ of\ Science\ problems\ =42\\Hence,\\x+y=42\\We\ are\ also\ given,\\No.\ of\ Math\ problems\ =No.\ of\ Science\ problems\ +10\\Hence,\\x=y+10\\By\ transposing\ y\ to\ the\ LHS,\\x-y=10\\Now\ by\ gathering\ up\ our\ equations\ we\ can\ finally\ construct\ a\ system.\\Hence,\\\)

\(x+y=42\\x-y=10\\By\ simply\ adding\ the\ equations\ we\ get,\\(x+y)+(x-y)=42+10\\2x=52\\x=26\\Hence,\\Substituting\ x=26\ in\ Equation\ 1,\\26+y=42\\y=42-26\\y=16\)

\(Ultimately,\\No.\ of\ Math\ Problems=x=26\\\ No.\ of\ Science\ Problems=y=16\)