Emma doesn’t have $300 now, but she plans to get a job when she gets to college. she wants to find out how much it will cost her if she doesn’t pay off her credit card until after college. find how much she’ll owe in four years. these are the terms of her credit card:

it has a 15% yearly interest rate.
the interest is compounded monthly.
the card has $0 minimum payments for the first four years it is active.

The estimated maximum error in the calculated volume of the cone is 20π cubic centimeters.

Let V = (1/3)πr²h be the volume of the cone, where r and h are the base radius and height of the cone, respectively.

Let dr and dh be the possible errors in the measurements of r and h, respectively.

Then, the actual dimensions of the cone are (r+dr) cm and (h+dh) cm, respectively.

The differential of V is given by:

dV = (∂V/∂r)dr + (∂V/∂h)dh

We have:

∂V/∂r = (2/3)πrh and ∂V/∂h = (1/3)πr²

Substituting the given values, we get:

∂V/∂r = (2/3)π(10 cm)(25 cm) = 500π/3

∂V/∂h = (1/3)π(10 cm)² = 100π/3

Substituting into the differential equation, we get:

dV = (500π/3)dr + (100π/3)dh

Using the given maximum error of 0.1 cm for both r and h, we have:

|dr| ≤ 0.1 cm and |dh| ≤ 0.1 cm

Therefore, the maximum possible error in V is given by:

|dV| = |(500π/3)(0.1 cm) + (100π/3)(0.1 cm)|

|dV| = 50π/3 + 10π/3

|dV| = 60π/3

|dV| = 20π cm³

Therefore, the estimated maximum error in the calculated volume of the cone is 20π cubic centimeters.

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Answer: There were 180 dog owners in this survey that owned more than one dog.

Step-by-step explanation:

Since this word problem is a percentage problem, you will need to convert 45% of 400 to a hundredths decimal.

45% -> 45/100 -> 0.45

Then, to find the solution, multiply 0.45 by the total number of dog owners in the survey. (400)

0.45

x400

---------

 180!

The answer you'll get will be 180, so therefore, 180 dog owners in this survey owned more than one dog. Hope this helps!:)

Steps to calculate the area are shown below and the figure is attached below.

The steps of calculating the area of the given figure are,

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The dilation of the rectangle is an enlargement by a factor of 1.5. Then the correct option is A.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

In a rectangle, the opposite sides of the rectangle are parallel and equal to each other. And each angle is 90 degrees.

A rectangle shape pre-picture has a length of 4 and a width of 2. A rectangle shape picture has a length of 4 (1.5) and a width of 2 (1.5).

If the scale factor is greater than 1.5. Then the dilation is an enlargement.

The dilation of the rectangle is an enlargement by a factor of 1.5. Then the correct option is A.

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Answer:

The dilation is an enlargement.

Step-by-step explanation:

Answer:

x= -15

Step-by-step explanation:

................

Answer:

7 feet i think? i may be wrong tho

Step-by-step explanation:

Answer: x=+27

Step-by-step explanation:

\(\huge\qquad\underline{{\tt answer : - }} \)

\(x+12=2x-15 \\ x - 2x = - 12 - 15 \\ - x = - 27 \\ x = 27\)

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maximum is 10.7 pounds

Answer:

10.7 pounds

Step-by-step explanation:

.1 is one tenth. 10.6+.1=10.7

Answer:

(x+2y)(x+2y)

x²+2xy+2xy+2y²

x²+4xy+2y²

(2x+3y)(2x+3y)

4x²+6xy+6xy+9y²

4x²+12xy+9y²

Answer:

I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass

The characteristic that would tell us that there was a violation of one of the assumptions for one way ANOVA when examining boxplots is that the medians were not the same between the plots.

In one way ANOVA, the assumption of homogeneity of variance states that the variances of the populations from which the samples are drawn are equal. If the medians are not the same between the plots,

it could indicate that the means of the populations are also not equal, violating another assumption of one way ANOVA, which is the assumption of equal population means.

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Mathland is more likely to be sunny than rainy, with a probability of 19/30 for sunny and 11/30 for rainy. So, on average, mathland is a more sunny place than a rainy place.

In this problem, we are given that in mathland, the weather is either sunny or rainy, and there are no other possible weather conditions. We are also given that on a sunny day, there is an equal chance that it will rain on the following day or be sunny. On a rainy day, there is a 70% chance it will rain on the following day and a 30% chance it will be sunny.

To determine whether mathland is a more rainy or sunny place, we need to calculate the probabilities of the two weather conditions, sunny and rainy.

We can use the law of total probability to calculate the probabilities of the events R (it is rainy) and S (it is sunny):

P(R) = P(R|S)P(S) + P(R|R)P(R)

where P(R|S) is the probability of it being rainy given that it is currently sunny, P(S) is the probability of it being sunny, P(R|R) is the probability of it being rainy given that it is currently rainy, and P(R) is the probability of it being rainy.

We are given that on a sunny day, there is an equal chance that it will rain or be sunny the next day. Therefore, P(R|S) = 1/2 and P(S|S) = 1/2.

We are also given that on a rainy day, there is a 70% chance it will rain the next day and a 30% chance it will be sunny. Therefore, P(R|R) = 0.7 and P(S|R) = 0.3.

Finally, we know that the probability of it being sunny or rainy must be equal to 1. Therefore, P(R) + P(S) = 1.

Substituting the values we have into the law of total probability formula and using the fact that P(R) + P(S) = 1, we can solve for P(R) and P(S):

P(R) = P(R|S)P(S) + P(R|R)P(R) = (1/2)(1/3) + (7/10)(2/3) = 11/30

P(S) = 1 - P(R) = 1 - 11/30 = 19/30

Therefore, mathland is more likely to be sunny than rainy, with a probability of 19/30 for sunny and 11/30 for rainy. So, on average, mathland is a more sunny place than a rainy place.

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If billion dollars in taxes were collected in 2005, then 30 billion was collected in 2017.

In 2005 the population was 2 million and it had increased to 3 million by 2017.

If 20 billion dollars in taxes were collected in 2005 then we have to determine how much tax was collected in 2017.

The amount of taxes of the city is proportion to the population of that city.

Tax(T) = kP(Population)

where k is a constant.

In 2005 Population = 2 millions and T = 20 billion. So

20 = 2k

Divide by 2 on both side, we get

k = 10

In 2017 Population = 3 millions and k = 10. So the tax collection in 2017 is:

t = 10 × 3

t = 30 billion

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The complete question is:

The amount of taxes a city collects is proportional to the population of the city. In 2005 the population was 2 million and it had increased to 3 million by 2017. If 20 billion dollars in taxes were collected in 2005 how much was collected in 2017? billion dollars help?

Answer:

Point P has coordinates (7,9) (last choice)

Step-by-step explanation:

We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.

This means the distances AP, PB and AB follow the conditions:

\(\frac{AP}{PB}=\frac{5}{1}\)

AP+PB=AB

We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:

\(x-x_a=5(x_b-x)\)

\(x-x_a=5x_b-5x\)

Adding 5x and subtracting:

\(6x=5x_b+x_a\)

Dividing by 6:

\(\displaystyle x=\frac{5x_b+x_a}{6}\)

Substituting:

\(\displaystyle x=\frac{5*8+2}{6}=\frac{42}{6}=7\)

x=7

Now for the y-axis:

\(\displaystyle y=\frac{5y_b+y_a}{6}\)

Substituting:

\(\displaystyle y=\frac{5*10+4}{6}=\frac{54}{6}=9\)

y=9

Point P has coordinates (7,9) (last choice)

Answer: 3

Step-by-step explanation: 2+1=3

Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

Step-by-step explanation:

\(\\ \tt{:}\leadsto 3(x + 4.5) = 36 \\ \\ \tt{:}\leadsto 3x + 13.5 = 36 \\ \\ \tt{:}\leadsto 3x = 36 + 13.5 \\ \\ \tt{:}\leadsto 3x = 22.5 \\ \\ \tt{:}\leadsto x = \frac{22.5}{3} \\ \\ \tt{:}\leadsto x = 7.5\)

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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Answer:

\(1 \sqrt{2}\)

Answer:

vertex (-3,-5) axis of symmetry x = -3

Step-by-step explanation:

By analyzing these changes in accounts receivable turnover and days' sales in receivables, a company can assess the effectiveness of their credit and collection policies, identify areas for improvement, and make informed decisions to optimize cash flow and working capital management

To calculate the accounts receivable turnover for Year 2, divide the net credit sales for Year 2 by the average accounts receivable for Year 2. The formula is:

Accounts Receivable Turnover (Year 2) = Net Credit Sales (Year 2) / Average Accounts Receivable (Year 2)

To calculate the accounts receivable turnover for Year 1, use the same formula but substitute the values for Year 1.

The change in the accounts receivable turnover from Year 1 to Year 2 indicates the efficiency of collecting accounts receivable. If the turnover increases, it suggests a more efficient collection process, while a decrease may indicate difficulties in collecting receivables.

The change in the days' sales in receivables is determined by subtracting the days' sales in receivables for Year 1 from the days' sales in receivables for Year 2. A positive change indicates an increase in the average number of days it takes to collect receivables, which may suggest a slowdown in the collection process. A negative change indicates a decrease in the number of days, indicating improved efficiency in collecting receivables.

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Answer:

47.5 Meters

Step-by-step explanation:

Find where the derivative changes from positive to negative (local maximum)

h(t)=\(-6t^2+30t+10\)

h'(t)=\(-12t+30\)

Find where the derivative equals zero

Theres no spot where the derivative wont exist because its a polynomial.

-12t=-30

t=\(\frac{5}{2}\)

Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.

Now plug into original equation

h(2.5)=\(-6(2.5)^2+30(2.5)+10\)

=-37.5+75+10

=47.5

Answer:

100pi

Step-by-step explanation:

4*pi*5^2

=100pi

Answer:

100π

Step-by-step explanation:

SA = 4π(5²) = 25 · 4π or 100π

We can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

Without the actual data, we cannot provide a specific confidence interval. However, we can provide the general formula for calculating a confidence interval for the population mean.

Assuming a normal distribution of CO2 levels in homes, a 95% confidence interval for the true population mean can be calculated using the following formula:

CI = X ± z*(σ/√n)

Where:

X is the sample mean

z is the critical value from the standard normal distribution corresponding to the desired confidence level (1.96 for 95% confidence interval)

σ is the population standard deviation (unknown, so we use the sample standard deviation as an estimate)

n is the sample size

To interpret the confidence interval, we can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

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The area of a square is 14 times larger than the area of a triangle, so the length of a side of the square is 49 inches. The area of the triangle is 1/2  base  height, while the area of the square is 14 times larger.

Given, The area of a square is 14 times as large as the area of a triangle One side of the triangle is 7 inches long, and the altitude to that side is the same length as a side of the square. We need to find the length of a side of the square. Area of the triangle = 1/2 × base × height We know the base = 7 in and the height is equal to the side of the square. Let's say the side of the square is x. Area of the triangle = 1/2 × 7 in × x in = 7x/2 in²Area of the square = x²Given, the area of a square is 14 times as large as the area of a triangle.=> x² = 14(7x/2) in²=> x² = 49x in²=> x = 49 in Therefore, the length of a side of the square is 49 inches.

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Answer:

te podria ayudar

Step-by-step explanation:

hablas esñol

Answer:

A

Step-by-step explanation:

A is the less complicated one and the simplest but also the most efficient and the one that makes the most sense.

Answer:

C

Step-by-step explanation:

edge 2021

We can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

We can use the standard normal distribution to solve this problem.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the normal distribution of the tensile strength to the standard normal distribution using the formula below.z = (x - μ) / σwhere x is the tensile strength, μ is the mean, and σ is the standard deviation.

a) To determine the number of parts that are expected to fail to meet a minimum specification limit of 35 lb tensile strength, we need to find the probability that a part has a tensile strength less than 35 lb. z = (35 - 40) / 5 = -1P(z < -1) = 0.1587

The probability of a part having a tensile strength of less than 35 lb is 0.1587. Therefore, the number of parts expected to fail to meet a minimum specification limit of 35 lb tensile strength is given by: Number of parts = Probability × Total number of parts= 0.1587 × 50,000= 7935b)

(b) To determine the number of parts that have a tensile strength over 48 lb, we need to find the probability that a part has a tensile strength greater than 48 lb. z = (48 - 40) / 5 = 1.6P(z > 1.6) = 0.0548

The probability of a part having a tensile strength greater than 48 lb is 0.0548. Therefore, the number of parts that have a tensile strength over 48 lb is given by: Number of parts = Probability × Total number of parts= 0.0548 × 50,000= 2740

Therefore, we can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

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