Jill spends $525 for monthly bills. Of this amount she spends 110 on her cell phone bill and 25% on her car payment. The remainder pays her utilities. How much money does she spend on utilities?

The wavelength of the transverse wave is 0.280m, indicating the distance between two consecutive wave crests or troughs. The frequency of the wave is 27.8 Hz, representing the number of complete wave cycles occurring per second. The wave propagates with a speed of 7.78 m/s in the -x direction, as indicated by the negative coefficient of x in the wave equation.

To determine the wavelength of the wave, we can compare the equation to the standard form of a transverse wave, which is y(x,t) = A sin(kx - ωt + φ), where A is the amplitude, k is the wave number, ω is the angular frequency, t is time, x is position, and φ is the phase constant.

Comparing the given equation y(x,t) = (9.00 mm) sin(2π(t/0.0360s - x/0.280m)) to the standard form, we can see that the wave number k is equal to 2π divided by the wavelength λ, which gives us k = 2π/λ.

By comparing the given equation to the standard form, we can conclude that the wave number is 2π/0.280m. Therefore, the wavelength λ can be calculated as λ = 2π/(2π/0.280m) = 0.280m.

To determine the frequency, we use the equation f = ω/(2π), where f is the frequency and ω is the angular frequency.

Comparing the given equation to the standard form, we can deduce that ω = 2π/0.0360s. Substituting this value into the frequency equation, we get f = (2π/0.0360s)/(2π) = 1/(0.0360s) = 27.8 Hz.

The speed of propagation of a wave is given by the equation v = λf, where v is the speed of propagation, λ is the wavelength, and f is the frequency. Substituting the values we have, we get v = 0.280m × 27.8 Hz = 7.78 m/s.

The direction of propagation of the wave can be determined by examining the coefficient of x in the given equation. In this case, the coefficient is negative (-0.280m), indicating that the wave is propagating in the -x direction.

In summary, the wavelength of the wave is 0.280m, the frequency is 27.8 Hz, the speed of propagation is 7.78 m/s, and the direction of propagation is -x.

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Answer:

Company A charges less per square foot

A charges 2.25 per square foot

B charges 2.75 per square foot

Step-by-step explanation:

Divide the cost by the appropriate square feet

3300÷1200=2.75

3850÷1400=2.75

If Gas prices are typically marked up for holiday travel. If the prices are marked up 10% and the regular price is $2.45,  the price after the mark-up is $2.70.

Frist step is to find the marked-up price using this formula

Markup price = Markup percentage × Regular price

Let plug in the formula

Markup price = 10% × $2.45

Markup price = $0.245

Now  let find the price after markup  using this formula

Price after markup = Regular price + Markup price

Let plug in the formula

Price after markup = $2.45 + $0.245

Price after markup = $2.695

Price after markup = $2.70 ( Approximately)

Therefore $2.70 is the price after marked-up.

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Answer:

d

Step-by-step explanation:

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

Of all rectangles with an edge of 10 meters, the one that has the greatest zone(area) could be a square.

To see why, let's assume that a rectangle with a border of 10 meters has measurements of length L and width W.

At that point, we know that:

2L + 2W = 10

Rearranging this condition, we get:

L + W = 5

Presently, we need to discover the most extreme range encased by the rectangle, which is given by:

Area = L x W

Able to illuminate for one variable in terms of the other utilizing the condition L + W = 5:

L = 5 - W

Substituting this expression for L into the condition for the zone, we get:

Zone = (5 - W) x W

Extending and disentangling this expression, we get:

Area = 5W - W²

To discover the most extreme esteem of this quadratic expression, we will take its subsidiary with regard to W and set it to break even with zero:

dArea/dW = 5 - 2W =

Tackling for W, we get:

W = 2.5

Substituting this esteem back into the condition for the edge, we get:

L = 2.5

Hence, the measurements of the rectangle that has the greatest region are L = 2.5 meters and W = 2.5 meters, which implies it could be a square. The most extreme zone enclosed by the rectangle is:

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

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Answer:

The author is intending the character to be mean, old, and snobby. He also hates Christmas

Step-by-step explanation:

He does this by comparing the character to other objects.

Answer:

75%

Step-by-step explanation:

Percentage of total spent on fruit = (39/52)×100%

= 0.75×100%

= 75%

The order of operations that should be completed first to find the value of given expression 12+30÷(6-3)+1 is (6-3) which is option-B

What is the correct order of operations?

To solve any given expression the rule applied is PEMDAS or the BODMAS . PEMDAS acronym for-

P indicates the parentheses that are the brackets to be solved first in an expression.

E which indicates exponents or powers to be solved.

M refers to Multiplication

D refers to divide

A refers to add

S indicates subraction

BODMAS is similar to PEMDAS whose sequence of solving stands for

B- brackets

O-Order/Of

D-Divide

M-Multiply

A-Add

S-Subtract

Here in the given expression: 12+30÷(6-3)+1 , the order would be

=12+30÷(6-3)+1

=12 + 30 ÷ (3) + 1 { brackets/parentheses}

= 12 + 30 ÷ 3 + 1

=12 + 10 + 1  {divide}

=23

∴ the first operation was to solve brackets/parentheses (6-3)

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Refer to the attachment below for complete question.

Answer:

y=-2x-14

Step-by-step explanation:

The solution set for x-32 ≥ 32+9x is x≤ -8.

Mathematical expressions with the symbols >, < , ≥, ≤ and are known as inequality. Inequality can be "solved" by determining a range within ranges, of values that an unknown x can take while still meeting the inequality. The inequalities are resolved using graphs and algebra. A number is a solution to inequality in x if it can be used to replace x with a statement that is true.

Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. Any action you take toward one side must also be taken toward the other.

Given:

x-32 ≥ 32+9x

Subtract 9x from both sides

x-9x-32 ≥ 32+9x-9x

-8x-32 ≥ 32

Add 32 on both sides

-8x-32+32 ≥ 32+32

-8x ≥ 64

Divide both sides by -8

-8x/-8 ≤ 64/-8

x ≤ -8

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Answer:

$77.5

Step-by-step explanation:

Has risen in price BY 310% To mean its price has added 310% from the old price:

Price new = Price old + (Price old × 310%).

To calculate the difference, we just need to calculate 310% of the old price (a percentage is a hundredth):

$25 × 310% = $25 × 3.1 = $77.5

Answer:

I am not sure what the values needed to add in / etc, but here is the height of the box: 5

Step-by-step explanation:

A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.

(hopefully this is correct, have a nice day!)

Given ,

5<x<10 and 8<y<19

For y-x,

8-5<y-x<19-10

3<y-x<9

You can rent time on computers at the local copy center for 35 minutes with $25.

To find out how much time you can rent for $25 at the local copy center, follow these steps:

1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.

So, you can rent time on computers at the local copy center for 35 minutes with $25.

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A scuba cylinder that normally lasts one hour at the surface will last 20 minutes at 66 feet.

According to the statement

We have given that the A scuba cylinder that normally lasts one hour at the surface. And we have to find that the for how much time the cylinder at the surface will last 66 feet.

So, For this purpose, we know that the

A Scuba cylinder or diving gas cylinder is a gas cylinder used to store and transport high pressure gas used in diving operations.

So, we have given that the

Scuba cylinder that normally lasts one hour.

So, according to this information the cylinder lasts for 20 minutes at the surface of 66 feet.

So, A scuba cylinder that normally lasts one hour at the surface will last 20 minutes at 66 feet.

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Answer:

I think B, C,  and F are the answers.

Step-by-step explanation:

\(y = {x}^{2} + 4x - 12\)

To improve the fairness of a passenger survey on a railway line, it would be ideal to over-sample data from groups that are less likely to be represented in the regular ridership during peak hours of 7:00 am to 5:00 pm. One such group could be passengers who use the railway line during off-peak hours, such as early mornings or late evenings.

Over-sampling these groups will provide a more comprehensive picture of the ridership patterns and preferences of all passengers, rather than just those who use the railway line during peak hours. This approach will lead to a more accurate assessment of the passenger experience and needs and, therefore, allow for better decision-making when it comes to improving services and amenities.

Other groups that could be over-sampled include passengers with disabilities, seniors, and students who may have different transportation needs and experiences compared to the general ridership. By considering the unique experiences and needs of all passengers, railway companies can work towards creating a more inclusive and accessible transportation system.

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Answer:

see image

Step-by-step explanation:

Therefore , the solution of the given problem of circle comes out to be 110°

is the angle 1.

Each area of a plane with a specific distance from this additional spot forms a circle (center). Thus, it comprises of curved spots that are separated from one another and separated by the surface. Additionally, it rotates evenly around the centre from all sides. Every set of endpoints in a circular, constrained double sphere is uniformly spaced apart from the "centre."

Here,

Given :

To find: the angle of 1

So,

From  the diagram , we can see it is showing 110 degree

So ,

Angle 1 comes out to be 110°

So, rest of circle angle is = 360° - 110° = 250°

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The degree of freedom for t statistic is 11.

According to the given question.

For a repeated-measure study, comparing two treatments with 12 scores in each treatment .

So, we can say that sample size, n = 12.

We know that, when you have a sample and estimate the mean, we have

n – 1 degrees of freedom, where n is the sample size.

Therefore,

The degree of freedom for the given sample test will be

d.f = n -1

⇒ d.f = 12 - 1

⇒ d.f = 11

Hence, the degree of freedom for t statistic is 11.

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The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

15

Step-by-step explanation:

As we can see, we have the total ratio as;

5 + 2 + 1 = 8

Total of NQ is 24

The ratio accorded to NO is 5

so we have the length of NO as;

5/8 * 24 = 15

The number of comic books that would be left over after putting them into groups will be 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Simone has 3411 comic books. She wants to put them into groups of 8.

Then the number of comic books would be left over after putting them into groups will be given as,

⇒ 3411 / 8

⇒ (3408 + 3) / 8

⇒ 3408 / 8 + 3 / 8

⇒ 426 + 3 / 8

The number of comic books that would be left over after putting them into groups will be 3.

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The stadium's profit margin for the year after be deducting all cost is $3 million

= $15 million

Profit = Total revenue - Total cost

= $18 million - $15 million

= $3 million

Therefore, the stadium's profit margin for the year after be deducting all cost is $3 million

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Answer:

   52.18332817

Step-by-step explanation:

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