When renting a car, Rent-For-Less charges $50 for a deposit and $1.25 per mile. Cheap
Rides charges $1.30 per mile and a $40 deposit. At what number of miles will the costs
be equivalent?

The correct expressions are;

B). 2/2 + 2/2 + 1/2 = 2.5

D). 1 1/2 + 1/2 + 1/2 = 2.5

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Danny has 2 1/2 pounds of coffee grounds.

2 1/2 = 2.5

The choices are given in the image.

A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.

B). 2/2 + 2/2 + 1/2 = 2.5

C).  1 + 1 + 1/2 + 1/2

But this shows the situation for four days,

So, this option is discarded.

D). 1 1/2 + 1/2 + 1/2 = 2.5

Therefore, B and D are the correct options.

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Answer:

This is your answer ☺️

Answer:

60m^2

Step-by-step explanation:

easiest way is to divide the shape into triangle and square.

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

Answer: 3.9 gigawatts

Step-by-step explanation: 7 x 3 equals 21 so just multiply the 1.3 gigawatts by 3 which would mean 21 giant solar planets generate 3.9 gigawatts.

The equation y = 3/4x describes the relationship

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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The third-degree Taylor polynomial for f(x) = arcsin(5x) centered at a = 0 is t3(x) = 5x - (125/2)x³.

To find the Taylor polynomial t3(x) for the function f(x) = arcsin(5x) centered at a = 0, we will need to compute the function's derivatives at a = 0 up to the third order.

First, let's compute the first few derivatives of f(x):
f(x) = arcsin(5x)
f'(x) = 5 / sqrt(1 - 25x^2)
f''(x) = 125x / (1 - 25x^2)^(3/2)
f'''(x) = (9375x^2 - 375) / (1 - 25x^2)^(5/2)

Now, let's evaluate these derivatives at a = 0:
f(0) = 0
f'(0) = 5 / sqrt(1) = 5
f''(0) = 0
f'''(0) = -375 / (1)^(5/2) = -375

Using these values, we can write the third-degree Taylor polynomial t3(x) as follows:

t3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3
t3(x) = 0 + 5x + 0 + (-375/6)x^3
t3(x) = 5x - (125/2)x^3

Therefore, the third-degree Taylor polynomial for f(x) = arcsin(5x) centered at a = 0 is t3(x) = 5x - (125/2)x^3.

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Answer:

---------------------

Adding same values results in multiplication.

Multiplication of same values results in exponents.

Find the equivalent expression with the given:

This is same as the last answer choice.

Answer:

Step-by-step explanation:

urmom

To model this  whale situation, it will be:

Estimated Whale Population = 20000 x (1 - 0.03)⁽²⁰³³⁻²⁰²³⁾

To model this situation, we can use the following expression:

Estimated Whale Population = 20000 x (1 - 0.03)⁽²⁰³³⁻²⁰²³⁾

The  break down the parts of this expression are:

So by working on this expression, one can have the estimated number of blue whales left in the world in the year 2033.

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Answer:

x=116

Step-by-step explanation:

180-C will get you F since they are adjacent angles, which would be 116.  We know that the opposite angles of a parallelogram are equal, so x=116

Answer:18

Step-by-step explanation:

3x6

6+6+6

12+6

18

3x6=18

Answer:

I don't understand the language sorry

Step-by-step explanation:

see if this helps you

casa del obispo situado en la confluencia de palmeras esta dice hasta mas arriba de las cejas ... el la detencion se practico por orden del juez de la audiencia realizar atentados policia ...

Answer:

#171  -\(\frac{39}{4}\)·a - \(\frac{53}{5}\)

Step-by-step explanation:

after distributing:

-10a - 21/2 + 1/4a - 1/10 =

-39a/4 + (-105/10 - 1/10) =

-39a/4 - 106/10

Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{BC}{11}\) ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

Answer:

8.9

Step-by-step explanation:

Answer:

x = 109°

Step-by-step explanation:

x° is 37° + 72°, due to exterior angle property.

so x° = 109°

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

Answer:

The first option is correct, (-2y + 5x) / (3x - 2y)

Step-by-step explanation:

\((\frac{-2}{x} + \frac{5}{y} ) \div (\frac{3}{y} - \frac{2}{x})\\= \frac{-2y + 5x}{xy} \div \frac{3x - 2y}{xy}\\= \frac{-2y + 5x}{xy} \times \frac{xy}{3x - 2y}\\= \frac{-2y + 5x}{3x - 2y}\)

Answer:

first guy is right

Step-by-step explanation:

edg 2021

Answer:

it's a 1/6 chance because it's a 6 faced dice

Answer:

18

Step-by-step explanation:

The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :

Linear scale factor :

12 ÷ 10 = 1.2 or 6/5

Let's use the fraction form

Using the linear scale factor we can make an equation to solve for x :

2x+4 = 6/5(x+8)

Expand the brackets :

2x+4 = 6/5x + 9.6

Subtract 4 from both sides :

2x = 6/5x + 5.6

Subtract 6/5x from both sides :

4/5x = 5.6

Divide both sides by 4/5 :

x = 7

Now substitute this value into the expression for the length of AE :

AE = 2(7) + 4

AE = 14 + 4

AE = 18

Hope this helped and have a good day

Answer:

116 units

Step-by-step explanation:

AE + ED = 180 because they make a straight angle and a straight angle is 180 degrees or half of a circle 360/2.

AE = 2x + 4 and ED = x +8 added together they equal 180

2x + 4 + x + 8 = 180  Combine the like terms

3x + 12 = 180  Subtract 12 from both sides of the equation

3x = 168  Divide both sides by 3

x = 56

Now that we know that x is 56 we can plug that in for AE to find its length

2x + 4

2(56) + 4

112 + 4

116

The equivalent form of the equation y=\(x^{2} -2x-15\)given is y=(x+3)(x-5).

Given an equation y=\(x^{2}\)-2x-15 and we are required to find the equivalent form of the equation.

Equation is like a relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation or any other equation  depending on the powers of the variable.

To find the equivalent equations we are required to form factors of the equation. Equivalent equation are those equations which when solved gives the same solution as the equation when solved gives.

y=\(x^{2}\)-2x-15

y=\(x^{2}\)-5x+3x-15

y=x(x-5)+3(x-5)

y=(x+3)(x-5)

Hence the equivalent form of the equation y= \(x^{2}\)-2x-15 given is

y=(x+3)(x-5).

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Question is incomplete as question should includes the equation

y= \(x^{2}\)-2x-15.

The pseudoinverse is a generalized inverse of a matrix, denoted by A+. To prove the properties of the pseudoinverse, we first need to verify that the given matrix satisfies the Penrose conditions, which are:

1. AA+A = A
2. A+A A = A+
3. (AA+)T = AA+
4. (A+A)A = A+A

Once we have verified that these conditions are satisfied, we can then proceed to prove the properties of the pseudoinverse. These properties include:

1. AA+A is symmetric and idempotent
2. A+A is symmetric and idempotent
3. AA+A is the unique matrix that satisfies the Penrose conditions
4. A+A is the unique matrix that satisfies the Penrose conditions
5. If A has full column rank, then A+A = (AA)−1

To summarize, in order to prove the properties of the pseudoinverse, we need to first verify that the given matrix satisfies the Penrose conditions. Once we have done that, we can then proceed to prove the various properties of the pseudoinverse, which include its symmetry, idempotency, uniqueness, and relation to the original matrix.
. In this case, we will verify that the given matrix satisfies the four Penrose conditions.

Let A be an arbitrary matrix and B be its pseudoinverse. We need to prove the following properties:

1. AB = A
2. BA = B
3. (AB)A = A
4. (BA)B = B

Step 1: AB = A
To prove this property, we need to multiply matrix A by its pseudoinverse B. By definition, the pseudoinverse is a unique matrix B that satisfies this property. Since the Penrose conditions require this equality, it holds true.

Step 2: BA = B
Similar to Step 1, we need to multiply matrix B by A. The pseudoinverse definition and Penrose conditions require that the product of BA should equal B, so this property is also satisfied.

Step 3: (AB)A = A
We already know that AB = A (from Step 1). Now, we need to multiply the result (AB) by A again. Since AB = A, this simplifies to AA = A. For this property to be satisfied, A must be an idempotent matrix, meaning that A*A = A. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

Step 4: (BA)B = B
Similar to Step 3, we know that BA = B (from Step 2). Now, we need to multiply the result (BA) by B. Since BA = B, this simplifies to BB = B. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

By verifying that the given matrix satisfies all four Penrose conditions, we have proved the properties of the pseudoinverse.

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The average value of the function f(x) = x² - 11 on the interval [0, 6] is -1/3.

The average value of a function on an interval is a useful concept in many areas of mathematics and applied fields. It represents the "center of mass" or "balance point" of the function over the interval, and has applications in physics, engineering, economics, and more. fmin ≤ avg(f) ≤ fmax

This property can be used to prove useful inequalities and approximations in various fields. The formula for the average value of a function on an interval [a,b] is: avg(f) = 1/(b-a) * ∫[a,b] f(x) dx.

Using this formula, we can find the average value of f(x) = x² - 11 on [0,6] as: avg(f) = 1/(6-0) * ∫[0,6] (x² - 11) dx

= 1/6 * [x³/3 - 11x]_0^6

= 1/6 * [(216/3) - (66)]

= -1/3

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The distribution of values taken by a statistic in all possible samples of the same size from the same population is known as the sampling distribution of the statistic.

In other words, it refers to the distribution of a particular statistic, such as the sample mean or sample proportion, if we were to take all possible samples of a given size from a population.

The sampling distribution is an important concept in statistics because it allows us to make inferences about a population based on a sample.

By examining the sampling distribution of a statistic, we can determine the range of values that the statistic is likely to take and calculate the probability of observing a particular value or range of values.

This information can be used to make inferences about the population parameter from which the sample was drawn.

For example, suppose we want to estimate the mean income of all individuals in a particular city. We could take a random sample of individuals from the city and calculate the sample mean.

The sampling distribution of the sample mean would then give us information about the range of values that the true population mean is likely to take, as well as the probability of observing a particular sample mean.

This information could be used to construct confidence intervals or perform hypothesis tests to make inferences about the population mean.

In summary, the sampling distribution is a key concept in statistics that allows us to make inferences about a population based on a sample. It refers to the distribution of values taken by a statistic in all possible samples of the same size from the same population.

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The probability that a randomly chosen test-taker will score between 470 and 530 is 0.2358 (or 23.58% when expressed as a percentage).

To solve this problem, we need to use the standard normal distribution formula:
Z = (X - μ) / σ
where Z is the standard score (z-score) of a given value X, μ is the mean, and σ is the standard deviation.
First, we need to convert the given values of 470 and 530 to z-scores:
Z1 = (470 - 500) / 100 = -0.3
Z2 = (530 - 500) / 100 = 0.3
Next, we need to find the probability that a randomly chosen test-taker will score between these two z-scores.

We can use a standard normal distribution table or a calculator to find the area under the curve between -0.3 and 0.3.
Using a calculator or an online tool, we find that the area under the curve between -0.3 and 0.3 is approximately 0.2358.

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Answer:

52:56 and 39:42

Step-by-step explanation:

The ratios equivalent to 13:14 are:

52:56

39:42

3:4 is not equivalent to 13:14 because 3 is not a multiple of 13.

The returns when 30 tickets were sold would be $ 70 .

To calculate the total earnings from 30 sold tickets using the formula a ( n ) = 3 n - 20 , we must input n as 30 and assess the outcome .

Therefore, the returns raised when there were 30 tickets sold would be :
= 3 n - 20

= 3 ( 30 ) - 20

= 3 x 30 - 20

= 90 - 20

= 90 - 20

= $ 70

Therefore, with 30 tickets sold, the amount of money raised is $70.

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Question is:

How much was raised when 30 tickets were sold?

Answer:

9 59/100

Step-by-step explanation:

Step-by-Step Solution

9.59 = 959

100

= 959

100

as a fraction

To convert the decimal 9.59 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

9.59 = 9.59

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

9.59

1

= (9.59 × 100)

(1 × 100)

= 959

100

.

(This fraction is already reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 959

100

is also equal to 959

100

when expressed as a mixed number

The graph of the linear equation can be seen in the image below.

Here we have a linear equation:

y = -x

To graph it, we just need to find two points and the line, and then connect the points with a line.

Evaluating in x = 0, we get:

y = -0 = 0

Then we have the point (0, 0).

Evaluating in x = 1 we get:

y = -1

So we have the point (1, -1)

Now we just need to graph these two points and connect them with a line, the graph can be seen below.

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