Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in New York City. How long was the train ride?

Answer:

Only n if 2n is/3 when 2nis divide by 3

Answer:3

Step-by-step explanation:

you could only divide 2n in 3 was there so it would be three

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

The last one should be the right answer

Hence, adding the $50 luggage fee would result in a cost increase of 79.55%.

We can use the following calculation to determine the percent increase from $220 to $345:

(New value − Old value) / Old value * 100% is the formula for percentage growth.

When we enter the values, we obtain:

Increase in percentage equals (345 - 220) / 220 * 100% = 56.82%

As a result, the price has gone up by 56.82%.

If the airline increases the ticket price to $345 and adds a $50 baggage fee, the new total cost would be $395. We may apply the same formula to determine the new percent increase:

(New value − Old value) / Old value * 100% is the formula for percentage growth.

When we enter the values, we obtain:

Increase in percentage equals (395 - 220) / 220 * 100% = 79.55%

Hence, adding the $50 luggage fee would result in a cost increase of 79.55%.

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Answer:

No, the triangles are not congruent.

Step-by-step explanation:

Triangle HOT has AAS, whilst triangle CLD has ASA. Therefore, the triangles are not congruent. There is also no way to prove that HOT and CLD are isoscles triangles, which means we cannot use ASA or AAS.

In a political study, 28 out of 157 current representatives of a state's legislature are surveyed. The sample size is 28 and the population size is 157.

Sample size and population size are two important elements of statistics.

In a survey, a sample refers to a subset of people or items from a larger population.

Researchers select samples because it's impossible to conduct a study on the whole population due to time, cost, and other factors.

A sample is considered representative of the population if it is chosen randomly and if the sample size is large enough.

The population is the entire collection of people, items, or data that the researcher wants to analyze.

In the study, it is the total number of current representatives in the state's legislature.

Sometimes it is challenging to access the population. The sample is then obtained from the population.

The sample size and population size are two important elements of statistics.

Sample size is the number of individuals in a study, while the population size is the total number of individuals who could be studied.

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Let b be a matrix with two columns in ℝ2. The matrix b can be written as [b1, b2]. Let I be a 2 × 2 identity matrix, then we want to find a change-of-coordinates matrix C from b to I.Let the matrix C be [c1, c2]. Then we have cb1 = Ic1 and cb2 = Ic2.

The matrix C can be computed as follows: [c1, c2] = [b1, b2][c1, c2] = [I, I][c1, c2] = [b1, b2][I, I][c1, c2] = b[I, I]⁻¹[c1, c2] = b[c1, c2]⁻¹We can see that the matrix [I, I] is the matrix whose columns are the standard basis vectors for ℝ2. Hence, we need to compute the inverse of [b1, b2].Let A be the 2 × 2 matrix whose columns are the two columns of b. We have A = [−4, 4; 1, −2]. To find A⁻¹, we can use the formula for the inverse of a 2 × 2 matrix:[A⁻¹] = 1/(ad − bc)[[d, −b], [−c, a]]where a, b, c, and d are the entries of A.

Plugging in the values for A, we haveA⁻¹ = 1/(−4(−2) − 4(1))[[−2, −4], [−1, −4]] = [[1/2, 1], [1/8, 1/2]]Therefore, the matrix C from b to the standard basis in ℝ2 is given by[C] = [b⁻¹] = [[1/2, 1], [1/8, 1/2]] and this has more than 100 words.

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Answer: 4d + 3

Step-by-step explanation:

Megan's daughter's age = d

Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:

= (4 × d) + 3

= 4d + 3

Therefore, Megan's age is 4d + 3.

For example, if the daughters age is 7 years, Megan's age will be:

= 4d + 3

= 4(7) + 3

= 28 + 3

= 31 years

hi <3

as the value after the hundredth column is a 9, you would need to round up

thus, your answer would be 0.33

hope this helps :)

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Step-by-step explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°

hope this helps you!!!!!!!!!

The average length of time for each missed appointment was 22 minutes, calculated by dividing the total of 25.3 hours of missed appointments by the 115 missed appointments.

25.3 hours / 115

= 0.21945652173913043

hours per missed appointment. 0.21945652173913043 hours per missed appointment x 60 minutes per hour

= 13.167

minutes per missed appointment. 13.167 minutes per missed appointment rounded up to the nearest minute is 22 minutes per missed appointment.The total of 25.3 hours of missed appointments from last month was divided by the 115 missed appointments to calculate the average length of time for each missed appointment. This calculation came to 0.21945652173913043 hours per missed appointment. To convert this figure to minutes, it was multiplied by 60 minutes per hour. This gave the result of 13.167 minutes per missed appointment. As 13.167 minutes was not a whole number, it was rounded up to the nearest minute, giving a total of 22 minutes per missed appointment.

1. 25.3 hours / 115 missed appointments

= 0.21945652173913043 hours per missed appointment

2. 0.21945652173913043 hours per missed appointment x 60 minutes per hour

= 13.167 minutes per missed appointment

3. 13.167 minutes per missed appointment rounded up to the nearest minute is 22 minutes per missed appointment

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Each number is classified according to its value in the given image.

We are given some numbers and we have to drag each number to the correct location according to its value. The numbers given are 4.2×\(10^{-6}\), 2.1×\(10^{-3}\),  3.1×\(10^{-2}\), 3.2×\(10^{-5}\), 3.5×\(10^{-4}\), 5.8×\(10^{-3}\), 5.2×\(10^{-4}\).

We will classify these numbers in the categories given in the table.

(a) Now the numbers which are greater than 3.1×\(10^{-3}\) are:

3.1×\(10^{-2}\) and  5.8×\(10^{-3}\).

(b) Numbers falling between 3.1 × \(10^{-3}\)  and 4.3 × \(10^{-5}\) are:

2.1×\(10^{-3}\), 3.5×\(10^{-4}\), and 5.2×\(10^{-4}\)

(c) Numbers that are less than 4.3 × \(10^{-5}\) are:

4.2×\(10^{-6}\)and 3.2×\(10^{-5}\)

So, the numbers are classified according to their values in the table given in the image.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

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In a multiple choice test where each question is worth exactly 2 points, The correct answer is Aaliyah's test score (out of 20) would be \(\frac{(40-2x)}{20}\).

The maximum score a student can get is the sum of the points available for all the questions. In this case, Aaliyah can get a maximum score of 20 points. If Aaliyah got 3 questions wrong, that means she got 17 questions right. Each right answer is worth 2 points, so her score would be:\(17 * 2=34\)

Therefore, Aaliyah's test score (out of 20) would be \(\frac{34}{20}\)\(= 1.7.\)

If Aaliyah got x questions wrong, that means she got (20-x) questions right. Each right answer is worth 2 points, so her score would be:

\((20-x) * 2 = 40 - 2x\)

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Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Answer:

a. The height is a function of age is denoted as

 =>  f(age) = age * constant

Step-by-step explanation:

The function f: Age ⇒ Height, where age is from the set Age and height is from the set Height.

The age is the independent variable whose value determines the value of the dependent variable height and the constant is a part of the equation and a number that does not change.

height = age * constant

f(age) = age * constant  = height

Eg: if height = age * 3 , where f(5), the height or the f(age) of the height is;

     f(5) = 5 * 3 = 15,

The height is 15.

Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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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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The difference between one cycle and the period of a sine curve is that the period represents the length of one complete cycle, while one cycle refers to the interval between two consecutive points where the curve starts and ends at the same position and direction.

The period of a sine curve refers to the length of one complete cycle of the curve. In other words, it is the distance between two consecutive points where the curve repeats itself. The period is usually denoted by the symbol T.

On the other hand, one cycle of a sine curve refers to the interval between two consecutive points where the curve starts and ends at the same position and direction. It represents the complete oscillation of the curve from its minimum value to its maximum value and back to its minimum value. One cycle is equivalent to one full revolution or rotation of the sine curve.

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0.98

1) To write this fraction:

2) And rewrite itAs a decimal number, we have to rewrite the 98 and move the dot two digits back. So we can say that 98/100 = 0.98 Like this:

Answer:

-13 1/2 < -6/8

Step-by-step explanation:

*Any negative in either the numerator or denominator will make the entire fraction negative.

1/2  = .5

-13 1/2 = -13.5

-6/8 = -3/4

-3/4 = -0.75

-6/8 = -0.75

-13 1/2 = -13.5

Which means:

-13 1/2 < -6/8

Hope this helped.

Answer:

\( < \)

Step-by-step explanation:

\( \frac{6}{8} \)

Is close to 0 (to positive) you can use a time line to determine which is a correct answer

Answer:

58°

Step-by-step explanation: Nick was able to view the museum painting through the mirror due to reflection. The painting was reflected after hitting the plane mirror. According to the law of reflection, the angle of incidence is equal to the angle of reflection. The incident angle is the angle which the incident ray( the ray which strikes or hits the plane mirror) makes with the normal(line perpendicular to the tangent).

Thus, the angle which the painting makes with the mirror is equal to the angle at which the painting is being viewed = 58°.

Answer:

There would be 11 gallons of gas left!

Step-by-step explanation:

Answer:

after 2 hours = 11

Step-by-step explanation

what do you mean by t?

Answer:

(a)  See attachment.

(b)  r = 0.8765 (4 d.p.)

(c)  Strong positive correlation.

(d)  See explanation.

Step-by-step explanation:

Correlation measures how closely two variables are linked.

When creating a scatter plot with bivariate data:

Plot a scatter diagram using the data from the given table and the following variables.

(See attachment).

The correlation coefficient (r) measures the strength of the linear correlation between two variables.

Using a calculator and the given data, calculate r:

As r is close to +1, this suggests that the data has a strong positive correlation.  

This suggests that the metabolic rate increases as the body mass increases.

We cannot use a regression line to predict a value of the explanatory variable. Therefore, as the body mass is the explanatory variable, we cannot say that a person's body mass will increase if their metabolic rate increases.  However, we can say that according to the scatter plot and correlation coefficient, it is highly likely that a person's metabolic rate increases as their body mass increases.  

Remember to apply caution when using values of of x outside the range of the original data to predict corresponding values of y, as these predications can be unreliable since there is no evidence that the relationship is true for all values of x.

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by \(x(t) = -4t^2 + 20t + 60\), where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) \(R(x(t)) = -8t^2 + 40t + 120\)

Step-by-step explanation:

a) This is a very trivial exercise.

\(x(t) = -4t^2 + 20t + 60\)

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) \(x(t) = -4t^2 + 20t + 60\)

R(x(t)) = 2(x(t))

\(R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120\)

Answer:

C 19

Step-by-step explanation:

Answer:

\(9+10=19\)

Answer:

(2,-3)

Step-by-step explanation:

The solution of two equations graphed is their intersection point.

Which would be (2,-3)