Two whole number have a leat common multiple of 60. Each number i le than or equal to 12 the greatet common factor of the two number i 2
what are the two number

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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The option that could be the sides of a Right Triangle is 2.5 cm, 6.5 cm, 6 cm   , the correct option is (a) .

In the question ,

it is given that ,

four options are given that have the three sides of the triangle ,

we have to select the sides that forms a right triangle .

If the sides form a right triangle , then

square of the longest side is equal to square of the other two sides .

In option (a) the  sides are given as 2.5 cm, 6.5 cm, 6 cm .

So ,

(6.5)² = 6² + (2.5)²

42.25 = 42.25

Since LHS = RHS ,

So , Yes , the sides given in option (a) forms a right triangle .

Therefore , the correct option is (a) .

The given question is incomplete , the complete question is

Which could be the sides of a right triangle ?

(a) 2.5 cm, 6.5 cm, 6 cm

(b) 2 cm, 2 cm, 5 cm

(c) 1.5 cm, 2.5 cm, 4 cm

(d) 2 cm, 3 cm, 5 cm

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Answer:

multiple 1800 by 10%

Ans: 1,620

multiple 1800 by 8%

Ans: 144

subtract the discount of 10% from 8%

1620 -144

Ans:1,476

so therefore the price for the calculator is 1476.

Answer: A

Step-by-step explanation:

1) The graph is of a line, which passes through infinitely many points. Thus, this is true.

2) Solving for \(x\), we get \(x=3(y+8)\). Thus, this is true.

3) Substituting \(x=114\), \(y=\frac{1}{3}(114)-8=30\). Thus, this is true.

4) This is a linear equation, and is thus the graph of a line.

Answer:

787,210

Step-by-step explanation:

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

Answer:

5 cm

Step-by-step explanation:

The cat's weight in grams will be 1450 grams.

According to the question,

We have the following information:

A cat weighs 82 ounces. There are about 28.3 grams in 1.6 ounces.

Now, we can easily find the weight of the cat in grams by following the given steps:

1.6 ounces = 28.3 grams

We will find the weight in grams in 1 ounce using division.

1 ounce = 28.3/1.6 grams

Now, the weight of 82 ounces in grams:

82 ounces = (28.3*82)/1.6 grams

82 ounces = 1450.375 grams

After rounding it off to the nearest whole gram, we have 1450 grams.

Hence, the cat's weight in grams will be 1450 grams.

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The limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 can be found using L'Hôpital's rule.

Using L'Hôpital's rule, we differentiate the numerator and denominator with respect to x:

Numerator: (e^x - (-e^(-x)))' = (e^x + e^(-x))

Denominator: (e^x - x - 1)'

Taking the limit as x approaches 0 of the derivatives, we get:

lim x→0 (e^x + e^(-x))/(e^x - 1)

Now, substituting x = 0 into the expression, we get:

(e^0 + e^(-0))/(e^0 - 1) = (1 + 1)/(1 - 1) = 2/0

The result is an indeterminate form of 2/0, which indicates that L'Hôpital's rule can be applied again.

Differentiating the numerator and denominator once more, we get:

Numerator: (e^x + e^(-x))' = (e^x - e^(-x))

Denominator: (e^x - 1)'

Taking the limit as x approaches 0 of the derivatives, we have:

lim x→0 (e^x - e^(-x))/(e^x) = (1 - 1)/(1) = 0/1 = 0

Therefore, the limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 is 0.

In summary, applying L'Hôpital's rule twice, we find that the limit of the given expression as x approaches 0 is 0.

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Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

Answer:

Step-by-step explanation:

The visitor might be exactly 54 inches or above 54 inches.

To convert 800 mm to inches, divide 800 by 25.4. The result is 2 feet and 7.5 inches.

The metric and imperial systems are two ways to measure length, with the metric system being more widely used in the world and the imperial system being predominantly used in the United States.

800mm (millimeters) can be converted to inches and feet by using the conversion factors: 1 inch = 25.4mm, and 1 foot = 12 inches.

To convert 800 mm to feet, first convert 800mm to inches as described above (800/25.4 = 31.5 inches). Then divide 31.5 by 12 to get the equivalent length in feet. The result is 2 feet and 7.5 inches.

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Type I error would be weather remains dry, but school is needlessly canceled. Type II error would be don't cancel school, but the snow storm hits. The correct option is B.

In hypothesis testing, the null hypothesis is the default assumption that is being tested. In this case, the null hypothesis is that the weather will remain dry. The school superintendent must decide whether to reject or accept this null hypothesis based on the evidence available.

There are two types of errors that can occur in hypothesis testing: Type I and Type II errors.

Type I error occurs when the null hypothesis is rejected, even though it is actually true. In other words, the school superintendent decides to cancel school due to a snowstorm, but the weather remains dry. This can result in unnecessary school closures, which can disrupt students, teachers, and parents' schedules.

Type II error occurs when the null hypothesis is accepted, even though it is actually false. In other words, the school superintendent decides not to cancel school because of the assumption that the weather will remain dry, but a snowstorm hits. This can put students, teachers, and parents in danger as they try to commute to school in hazardous conditions.

The consequences of a Type I error and a Type II error can be significant in this scenario. The school superintendent must weigh the potential risks of making each type of error to make the best decision for the safety and well-being of the school community.

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Complete question is:

A school superintendent must make a decision whether or not to cancel school because of a threatening snow storm. What would the results be of Type I and Type II errors for the null hypothesis: The weather will remain dry?

A. Type I error: don't cancel school, but the snow storm hits.

Type II error: weather remains dry, but school is needlessly canceled.

B. Type I error: weather remains dry, but school is needlessly canceled.

Type II error: don't cancel school, but the snow storm hits.

C. Type I error: cancel school, and the storm hits.

Type II error: don't cancel school, and weather remains dry.

D. Type I error: don't cancel school, and snow storm hits.

Type II error: don't cancel school, and weather remains dry.

E. Type I error: don't cancel school, but the snow storm hits.

Type II error: cancel school, and the storm hits.

Answer:

x-17/2

Step-by-step explanation:

here, we can set the number to x

the question is asking for 2(x-7)=3

let's solve this by distributing

2x-14=3

2x=17

x=17/2

Answer: 2 (x - 7) = 3

Use the distributive property: 2x - 14 = 3

2x - 14 = 3 + 14

2x = 17

2x/2 = 17/2

x = 8.5

To find the complete solution in radians of the equation tanθ sinθ = 3 sinθ, we can simplify the equation and solve for θ.

The complete solution in radians is θ = nπ, where n is an integer.

Let's simplify the equation step by step:

tanθ sinθ = 3 sinθ

Dividing both sides by sinθ (assuming sinθ ≠ 0):

tanθ = 3

Now, to find the values of θ, we can use the inverse tangent function (also known as arctan or tan^(-1)):

θ = arctan(3)

The inverse tangent function returns the angle whose tangent is 3. However, the inverse tangent function has a periodicity of π (180 degrees), meaning that the tangent function repeats every π radians. Therefore, the complete solution in radians is given by:

θ = arctan(3) + nπ, where n is an integer.

The complete solution in radians for the equation tanθ sinθ = 3 sinθ is θ = arctan(3) + nπ, where n is an integer. This solution accounts for all possible values of θ that satisfy the given equation.

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Colligative properties are dependent on the concentration of the solute, but they are not dependent on the identity of the solute.

Colligative properties are physical properties of a solution that depend on the concentration of solute particles, regardless of their chemical nature. These properties include boiling point elevation, freezing point depression, vapor pressure lowering, and osmotic pressure. The magnitude of these effects is determined by the number of solute particles present in the solution, rather than the specific type of solute.

For example, when a solute is dissolved in a solvent, it disrupts the regular arrangement of solvent molecules, making it more difficult for them to escape into the vapor phase. This leads to a higher boiling point and a lower vapor pressure compared to the pure solvent. Similarly, the presence of solute particles lowers the freezing point of the solvent, as it interferes with the formation of a crystalline lattice.

The colligative properties are proportional to the concentration of solute particles, regardless of the chemical nature of the solute. This means that if two solutions have the same concentration of solute particles, they will exhibit the same colligative property effects, even if the solutes are different compounds.

In summary, colligative properties depend on the concentration of solute particles, but not on the specific identity of the solute itself.

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Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

dang this looks so confuseing

Answer:

6

Step-by-step explanation:

divide 4 and 24

Answer:

6.601

Step-by-step explanation:

We can remove the brackets, getting -5.12 + 4.7 + 7.021.

Then we can evaluate:

-5.12 + 4.7 + 7.021 = 6.601

Answer:

6.601

Step-by-step explanation:

(-5.12)-(-4.7)+(7.021) = -5.12 + 4.7+7.021 = 6.601

The mean of this sampling distribution is 70.9, which is less than the value of the population median of  73, therefore, the sample median is a biased estimator of the population median.

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

A statistic used to estimate a parameter is an unbiased estimator if the mean of its sampling distribution is equal to the value of the parameter being estimated.

We obtained the following data from part (a) of this problem,

Sample 1: 64, 65, 73, and median is 65.

Sample 2: 64, 65, 74, and median is 65.

Sample 3: 64, 65, 76, and median is 65.

Sample 4: 64, 73, 74, and median is 73.

Sample 5: 64, 73, 76, and median is 73.

Sample 6: 64, 74, 76, and median is 74.

Sample 7: 65, 73, 74, and median is 73.

Sample 8: 65, 73, 76, and median is 73.

Sample 9: 65, 74, 76, and median is 74.

Sample 10: 73, 74, 76, and median is 74.

Let us calculate the mean of this sampling distribution,

μ(median) = ( 65+65+65+73+73+73+73+74+74+74)/10

μ(median) = 709/10

μ(median) = 70.9

The mean of the sampling distribution is found to be equal to 70.9.

(b) 70.9, which is less than the value of the population median of

73, therefore, the sample median is a biased estimator of the population median.

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Answer:

C

Step-by-step explanation

the weather usually gets colder in the winter and people usually decorate for Christmas late fall and early winter.

therefore, if there is snow on the ground and Christmas lights on houses its most likely winter.

An interest rate οf apprοximately 2.08% cοmpοunded mοnthly wοuld result in a final amοunt οf $8000 frοm an initial investment οf $6000 οver 10 years.

An algebraic expressiοn is a cοmbinatiοn οf variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn. It can cοntain οne οr mοre terms, and each term can have οne οr mοre variables raised tο pοwers οr multiplied by cοnstants.

The fοrmula fοr cοmpοund interest is:

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

where A is the final amοunt, P is the principal (initial investment), r is the interest rate, n is the number οf times the interest is cοmpοunded per year, and t is the time in years.

In this prοblem, we want tο find the interest rate that will result in a final amοunt οf $8000 frοm an initial investment οf $6000 οver 10 years with mοnthly cοmpοunding.

Since the interest is cοmpοunded mοnthly, we have n = 12, and t = 10*12 = 120.

We can plug in the given values and sοlve fοr r:

\(8000 = 6000(1 + r/12)^{(12*10)\)

Simplifying:

\((1 + r/12)^{120} = 4/3\)

Taking the natural lοgarithm οf bοth sides:

120 ln(1 + r/12) = ln(4/3)

Dividing by 120:

ln(1 + r/12) = ln(4/3) / 120

Taking the expοnential οf bοth sides:

\(1 + r/12 = e^{(ln(4/3) / 120)}\)

Subtracting 1 and multiplying by 12:

\(r = 12(e^{(ln(4/3)} / 120) - 1)\)

Using a calculatοr, we find:

r ≈ 2.08%

Therefοre, an interest rate οf apprοximately 2.08% cοmpοunded mοnthly wοuld result in a final amοunt οf $8000 frοm an initial investment οf $6000 οver 10 years.

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The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )

A confidence interval is a range of values that describes the uncertainty surrounding an estimate.

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

CI = \(x\) ± z \(\frac{r}{\sqrt{n} }\)           (Equation-1)

Where,

CI = Confidence interval

x = sample mean

z = Confidence level value

r = sample standard deviation

n = sample size

Given that,

Mean x = $16.6

Standard deviation r = $11

Number of samples n = 7472

Confidence interval = 98%

z(at 98% confidence) = 2.33

Substituting the values we have equation-1,

= $16.6 ± 2.33 ( \(\frac{11}{\sqrt{7472} }\) )

= $16.6 ± 2.33 ( $\(\frac{11}{86.44}\) )

= $16.6 ± 2.33 ( $ 0.127 )

= $16.6 ± $0.295

= $16.6 + $0.295 ,      $16.6 - $0.295

= ( $16.8 , $16.3 )

Therefore,

The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )

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Answer:

its b

Step-by-step explanation:

i took da test

Answer:

i dont understand this qustion\

Step-by-step explanation:

Answer:

60

The 2 angles in the triangle add up to 120, there are 180 degrees so the last one is 60. 60 is equal to x because of co-interior angles