Determine if the equation given in slope-intercept form represents the graph. If the equation is
correct support your reasoning with why it is correct. If the equation is incorrect, give the correct
slope-intercept form equation explaining how you determined it.
у
20
16
12
Water in Tub (gal)
y=1/4x
8
2
4 6 8 10
Time (min)

The brand that is the better buy based on their unit price is; Brand A

A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.

It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.

Thus;

Unit price of Brand A = 8.77/24 =$0.365 per pencil

Unit price of Brand B = 9.84/26 = $0.378 per pencil

The cheaper one is the better buy which is Brand A.

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The property identity of multiplication is applied in the given statement.

The properties of multiplication are:

From the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.

The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.

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Answer:

7/12 belongs in the category 4

Answer:

8 and 25

Step-by-step explanation:

We can set up an equation to help solve this problem.

Let x represent the smaller number

x+(x+17)=33

2x+17=33

2x=16

x=8

The smaller number is 8

Add 17 to 8

The larger number is 25

Answer:

Smaller number:8 larger number:25

Step-by-step explanation:

25-8=17

25+8=33

You can also set up an equation to help things be easier.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer: 0.350

Step-by-step explanation: took the quiz

Answer:

its the middle one

Step-by-step explanation:

had this on a test, got it right

Answer:

Step-by-step explanation:

delete this if you want bc im not answeing i just wanted to say there nothing there

The number of solutions of each quadratic equation is given as follows:

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

Hence the discriminant of each function is given as follows:

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To find (the derivative of \( y \) with respect to \( x \)) from the given function \( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) \), we can apply the rules of logarithmic differentiation.

First, we can rewrite the function using logarithmic properties:

\(\( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) = \ln(x^2(x+3)) - \ln(2x+1) \).\)

Now, using the rules of logarithmic differentiation, we can differentiate \( y \) with respect to \( x \) as follows:

\( \frac{dy}{dx} = \frac{1}{x^2(x+3)} \cdot (2x(x+3)) - \frac{1}{2x+1} \).

Simplifying further:

\(\( \frac{dy}{dx} = \frac{2x(x+3)}{x^2(x+3)} - \frac{1}{2x+1} \).\( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \).Thus, \( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \) is the derivative of \( y \) with respect to \( x \)\) for the given function.

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To represent and model vector quantities, we can use the concept of components. Components of a vector represent the changes in coordinates along each axis (typically x and y) from an initial point to a terminal point. By subtracting the coordinates of the initial point from the coordinates of the terminal point, we can determine the components of the vector.

Let's consider a vector V with an initial point (x₁, y₁) and a terminal point (x₂, y₂). The components of the vector can be found by subtracting the coordinates of the initial point from the coordinates of the terminal point:

Vx = x₂ - x₁

Vy = y₂ - y₁ Here, Vx represents the change in the x-coordinate, and Vy represents the change in the y-coordinate. These components provide information about the direction and magnitude of the vector. By using these components, we can model and represent vector quantities in various contexts, such as physics, engineering, or computer graphics. The components allow us to analyze and manipulate vectors mathematically and apply them to solve problems or describe physical phenomena accurately.

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The decision of whether or not to build pipelines to transport oil from Alberta to Texas or other parts of Canada is a complex one that involves multiple factors.

From a mathematical perspective, the debate over pipelines and oil sands can be analyzed in terms of supply and demand. On the other hand, opponents of pipelines argue that the supply of oil is finite and that the continued extraction and transportation of oil will have long-term negative consequences for the environment.

In addition to the economic and environmental factors, there are also geopolitical considerations to take into account. For example, some argue that building a pipeline to transport oil from Alberta to Texas would reduce Canada's reliance on foreign oil and would increase our energy independence.

However, others argue that building a pipeline would tie us more closely to the United States and would not necessarily benefit Canada in the long run.

Regardless of the decision that is ultimately made, it is clear that pipelines will continue to play a significant role in our energy infrastructure for many years to come.

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Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Answer:

answer B

Step-by-step explanation:

i took test

24 = x+6 is the equation that represents the sentence, "Twenty-four is the sum of a number and six "

Two or more expressions with an equal sign is called Equation.

The given sentence is

Twenty-four is the sum of a number and six ,

Let the other number be x.

By the given sentence, we are clear that we have to get 24 when a number and 6 are added.

Twenty-four is the sum of a number and six , we can write as

24=x+6

Therefore 24=x+6 is the equation that represents sentence "Twenty-four is the sum of a number and six ".

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We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.

A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:

n = [Z² x p x (1 - p)] / E²

where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²

n ≈ 1217.75

We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.

B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:

n = [Z² x p x (1 - p)] / E²

where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.

At 90% confidence, the z-value is 1.645. Plugging in the values, we get:

n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²

n ≈ 335.77

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Answer:

Ice cream

Step-by-step explanation:

During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.

To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.

Answer:

An air cooling he has invented

Step-by-step explanation:

Answer: The rate of change of the distancebetween the bottom of the ladder and the wall at that instant is 6.67 meter per minute.Let us consider that distance between the top of the ladder and the ground is x meterand distance between the bottom of the ladder and the wall is y meter.So, A right angle triangle is formed.Since, the bottom of the ladder is 21 meters from the wall.So,    Applying Pythagoras theorem,                         Given that,   the distance between the top of the ladder and the ground is decreasing at 7 meters per minute.                           Differentiate below equation with respect to time.                     Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute

Step-by-step explanation:

As per the unitary method, the number of dimes is 4.35 and the number of quarters is 30.55

Here we have given that Tabitha has $4.35 in dimes and quarters. if the quantity of dimes is three more than twice the number of quarters.

And we need to find how many of each coin does she have.

Here let us consider x be the number of dimes and y be the number of quarters.

And we also consider that there are hundred coins in total, so

=> x + y = 100 -------------------(Equation 1)

Now, here he has x dimes, each dime is 10¢ =  $0.10 and in total he has $ 0.10x in dimes.

Then if he has y quarters, each quarter is 25¢ = $0.25, then in total he has $ 0.25y in quarters.

While we adding the above two quantities,  

Then he has 0.1x + 0.25y in dimes and quarters,

Here we know the total amount of money he has is $4.35,

Then it can be written as

=> 0.10x + 0.25y = 4.35 ---------------------------- (Equation 2).

Then we have to solve these two simultaneously for x and y

By multiply equation 2 by 10 on the left and right hand sides, which gives

=> x + 2.5y = 43.5 (Equation 3).

Then subtract equation (1) from equation (3) to eliminate x.

=> 1.5y = 56.5

=> 3.77

Then the value of x is

=> x = 43.5 - 12.95

=> x = 30.55

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Answer:

18 x 9 = 162

Step-by-step explanation:

Answer:

141.421356237

Answer:

4.55

Step-by-step explanation:

step 1.     6.5 / 500 =  .013

step 2.    .013 X 350  = 4.55

Hope this helps

Given that the same number is subtracted from both the numerator and the denominator of `13/17`, and the result is `2/3`. Let's find the number. In order to find the number, let's represent the number in the form of 'x'.

Therefore, the new fraction after subtracting the number 'x' from the numerator and the denominator of `13/17` is `13-x/17-x`. As per the problem, `(13-x)/(17-x) = 2/3` Now, let's solve for

'x'`(13-x) × 3 = 2 × (17-x)` `39 - 3x

= 34 - 2x` `x

= 5`

Therefore, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`. "The number to be subtracted from both the numerator and the denominator of `13/17` is `5`." Given, `(13-x)/(17-x) = 2/3` the value of 'x' Taking cross multiplication, `(13-x) × 3 = 2 × (17-x)` Simplifying, `39 - 3x = 34 - 2x` On solving for 'x', we get `x = 5`.

Therefore, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`. The given problem is about finding the number which is to be subtracted from both the numerator and the denominator of `13/17`, such that the new fraction is equal to `2/3`.Therefore, let's represent the number to be subtracted in the form of 'x'. So, the new fraction will be `(13-x)/(17-x)`. According to the given information, we have `(13-x)/(17-x) = 2/3`. On simplifying the above expression, we get `(13-x) × 3 = 2 × (17-x)`. Hence, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`.

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Answer:

The correct options are;

B. You can easily withdraw funds from a checking account

C. There are many types of checking accounts

E. Some checking account allow for joint use

F. Even if you open a free checking account a bank can still charge penalties on the account

Step-by-step explanation:

A checking, also known as transactional accounts or demand account is an account into which a bank costumer can deposit money and also withdraw from the money from the account. The high liquid nature of checking account makes it easier to access the account for transactions, and the checking account can also be accessed through automated teller machines, electronic debit cards and checks as well as other methods.

Types of checking accounts include;

1) Regular checking account

2) Premium checking account

3) Free checking account

4) Low-balance account

5) Interest- bearing checking account

6) Second-chance checking account

The estimated standard deviation (ESD) of the data is approximately 0.0639 grams.

To calculate the process capability index (Cpk), we use the following formula:

Cpk = min((Upper Specification Limit - Mean) / (3 * Standard Deviation), (Mean - Lower Specification Limit) / (3 * Standard Deviation))

In this case, the upper specification limit is 1.751 grams, the lower specification limit is 1.632 grams, the mean is 1.7 grams, and the standard deviation is 0.023 grams.

Let's plug in the values and calculate the process capability index:

Cpk = min((1.751 - 1.7) / (3 * 0.023), (1.7 - 1.632) / (3 * 0.023))

Cpk = min(0.051 / 0.069, 0.068 / 0.069)

Cpk = min(0.7391, 0.9855)

Cpk = 0.7391

Therefore, the process capability index for this system is approximately 0.7391.

To calculate the lower control limit (LCL) for an X-bar chart, we use the following formula:

LCL = Mean - (3 * Standard Deviation / sqrt(n))

In this case, the mean is 1.251 millimeters, the standard deviation is 0.0425 millimeters, and the sample size is 20.

Let's calculate the lower control limit:

LCL = 1.251 - (3 * 0.0425 / sqrt(20))

LCL ≈ 1.251 - (3 * 0.0095)

LCL ≈ 1.251 - 0.0285

LCL ≈ 1.2225 millimeters

Therefore, the lower control limit (LCL) for an X-bar chart of this data is approximately 1.2225 millimeters.

To calculate the estimated standard deviation (ESD) for an X-bar chart, we use the following formula:

ESD = R-bar / d2

In this case, the standard deviation is given as 0.173 grams.

Let's calculate the estimated standard deviation:ESD = 0.173 / d2 (for a sample size of 20, d2 = 2.704)

ESD ≈ 0.173 / 2.704

ESD ≈ 0.0639 grams

Therefore, the estimated standard deviation (ESD) of the data is approximately 0.0639 grams.

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Answer:

292.5

Step-by-step explanation:

1/2*13(20cm+25cm)

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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Answer:

C

Step-by-step explanation:

i took the test