The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk

Answer:

Answer Graph C

Step-by-step explanation:

Plugged the equation into a graphing calculator.

Answer:

172.5

Step-by-step explanation:

I multiplied the 150 by 1.15 and got the answer 172.5.

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Answer:

Area = 232 in^2

Step-by-step explanation:

Formula

A square's area is found using the following formula

A = S^2

Where A is the area

and S is the length of one side.

Solution

The 2 means that the side is squared and is written as shown above.

s = 2 sqrt(58)

Square both sides

s^2 = 2^2 * sqrt(58)^2

When a square root is squared, you get rid of the square root sign √ and you are left with what is under the square root sign.

s^2 = 4 * 58

s^2 = 232 inches ^2 which is the answer you have chosen.

It takes approximately 26.56 seconds for the ferris wheel to make one revolution.

so, the correct option is: e) 26.56 seconds

Here, we have,

The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.

This occurs when the sine function returns to its maximum value, which is 1.

Thus, we have the following equation:

20 * sin(π/30 * t) + 10 = 20

Solving for t,

we will get:

sin(π/30 * t) = 0.5

Taking the inverse sine of both sides:

(π/30 * t) = sin^-1(0.5)

Multiplying both sides by 30/π,

we will get the following:

t = (30/π) * sin^-1(0.5)

Now solving the value of t

We will get it as: t ≈ 26.56 seconds.

so, the correct option is: e) 26.56 seconds

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complete question:

the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?

a) 10 seconds

b) 20 seconds

c) 30 seconds

d) 60 seconds

e) 26.56 seconds

The division property of equality informs us quite simply that if we divide both sides of an equation by the same number, then the resulting equation is unaltered. This is known as the distributive property of equality.

It is important to keep in mind that the value of a fraction is always equivalent to the numerator of the fraction if the denominator of the fraction is 1 and the numerator of the fraction is anything other than zero.

To speak in terms of fractions is to refer to numbers that are not whole.

The value of the numerator in a fraction is determined by whether or not the numerator is nonzero and whether or not the denominator is 1.

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Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

The 68-95-99.7 Rule states that 95% of values fall between the range of  2 standard deviations, hence to calculate the 95% confidence interval, you add or remove two standard deviation from the mean.

Here,

The level of assurance is 0.99.

=>1-α=0.99

=> α=1-0.99

=> α = 0.01

A 99% confidence interval again for population proportion is then

p±Za =√p(1-p)/n

=>0.55 ±Zooo₅ √0.2475/ 336

=>0.55± (2.58) √0.2475/ 336

=>0.55±0.0700

=>(0.55-0.0700, 0.55+0.0700)

= >(0.48,0.62)

=(48%,62%)

Nearest values are (48.1%, 61.9%).

Therefore, choice c is the best one.

Therefore , the solution of the given problem of confidence interval comes out to be Nearest values are (48.1%, 61.9%) choice c is the best one.

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The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

$49950

Step-by-step explanation:

you do 45000(.11) which equals 4950. and then you add 4,950 to 45000, and then you get your answer

The area of the shape is given as 24.52 cm2

We have two triangles and 1 rectangle

we have to find the area of the triangles first and then solve for the area of the rectangle.

The area of a triangle = 1/2bh

for first triangle

area = 1/2 * 2.7 * 3

= 4.05

for second triangle

height = 6.8 - 2.7

= 4.1

area = 1/2 * 3.4 * 4.1

= 6.97

For the rectangle

area = l * w

= 2.7 * 5 = 13.5

The area = 13. 5 + 6.97 + 4.05

= 24.52 cm2

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The calculated value of the percentage of values that lie in the distribution between 26 and 40 is 47.5%.

Mean = 26

Standard deviation = 7

According to the 68-95-99.7 rule, data from a particular normal distribution should fall inside a range of mean +/- 1, 2, and 3 times the standard deviation for 68%, 95%, and 99.7% of the time. As a result, in the example, the value of the z-score is provided by:

= ( Given value - mean ) / standard deviation

= ( 40 - 26 ) / 7

= 14/7 = 2

Thus, the percentage of data that would lie within the positive 2 z-score range from the mean (i.e. between 26 and 40) is given by:

= Percentage of data which lies within +/-2 times the z-score from mean / 2

= 95% / 2

= 47.5%

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The shaded area to the right of the z-score using the cumulative probability of -2.27 is approximately 0.9871.

To find the shaded area to the right of a given z-score, we need to calculate the cumulative probability using the standard normal distribution.

The cumulative probability represents the area under the standard normal distribution curve to the left of a given z-score.

Using a standard normal distribution table or a calculator, we can find the cumulative probability corresponding to the z-score of -2.27.

The shaded area to the right of the z-score is equal to 1 minus the cumulative probability to the left of the z-score.

Shaded area = 1 - cumulative probability

Using a standard normal distribution table or calculator:

cumulative probability = 0.0119

Shaded area = 1 - 0.0119

Shaded area ≈ 0.9881

Therefore, the shaded area to the right of the z-score of -2.27 is approximately 0.9871.

2. The shaded area between the z-scores of -3.02 and -1.46 is approximately 0.0796.

Using a standard normal distribution table or a calculator, we can find the cumulative probabilities corresponding to the z-scores of -3.02 and -1.46.

Shaded area = cumulative probability (-1.46) - cumulative probability (-3.02)

Using a standard normal distribution table or calculator:

cumulative probability (-1.46) = 0.0719

cumulative probability (-3.02) = 0.0018

Shaded area = 0.0719 - 0.0018

Shaded area ≈ 0.0701

Therefore, the shaded area between the z-scores of -3.02 and -1.46 is approximately 0.0701.

3. The z-score corresponding to a shaded area of 0.0314 to the left is approximately -1.87.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to a cumulative probability of 0.0314.

z-score ≈ -1.87

Therefore, the z-score corresponding to a shaded area of 0.0314 to the left is approximately -1.87.

4. The replacement time that separates the top 10.2% from the rest is approximately 8.77 years.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to a cumulative probability of 0.898.

z-score ≈ 1.28

Once we have the z-score, we can use the formula for standardizing a normal distribution to find the replacement time:

replacement time = mean + (z-score * standard deviation)

Substituting the given values:

mean = 5.2 years

standard deviation = 2.5 years

z-score = 1.28

replacement time = 5.2 + (1.28 * 2.5)

replacement time ≈ 8.77 years

Therefore, the replacement time that separates the top 10.2% from the rest is approximately 8.77 years.

5. Approximately 3.85% of scores are more than 144.

Using a standard normal distribution table or a calculator, we can find the cumulative probability corresponding to the z-score that corresponds to a score of 144.

z-score = (144 - mean) / standard deviation

Substituting the given values:

mean = 123

standard deviation = 20

score = 144

z-score = (144 - 123) / 20

z-score = 1.05

Using a standard normal distribution table or calculator, we can find the cumulative probability corresponding to a z-score of 1.05.

cumulative probability = 0.8531

The percentage of scores more than 144 is equal to 1 minus the cumulative probability.

Percentage = 1 - 0.8531

Percentage ≈ 0.1469

Therefore, approximately 3.85% of scores are more than 144.

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Answer:

(3x-8y) is equivalent

Step-by-step explanation:

Answer:

\((5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y\)

"Purposive sampling" is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

Purposive sampling, also referred as judgmental, selecting, or subjective sampling, is a type of non-probability sampling wherein the researchers pick individuals from the public to take part in their surveys based on their own judgment.

Thus, Purposive sampling is the method employed when a researcher needs to identify a small number of important people who can provide pertinent information.

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X(t) = c₁e^((2 + √3)t)[√3 - 1, √3] + c₂e^((2 - √3)t)[-√3, -(√3 - 1)],

where c₁ and c₂ are constants determined by initial conditions.

The given linear differential system is:

X' = [[1, 2, 1], [0, 3, 1]] X,

where X = [y(t), z(t)].

To solve this system, we can find the eigenvalues and eigenvectors of the coefficient matrix and then use them to construct the general solution.

Let's start by finding the eigenvalues λ:

det(A - λI) = 0,

where A is the coefficient matrix and I is the identity matrix. Substituting the values, we have:

|1-λ 2 1| = 0

| 0 3-λ 1|

Expanding the determinant, we get:

(1-λ)(3-λ) - (2*1) = 0,

(1-λ)(3-λ) - 2 = 0,

λ² - 4λ + 1 = 0.

Solving this quadratic equation, we find the eigenvalues λ₁ and λ₂:

λ₁ = 2 + √3,

λ₂ = 2 - √3.

Next, we find the eigenvectors corresponding to each eigenvalue by solving the equations:

(A - λI) v = 0,

where v is the eigenvector.

For λ₁ = 2 + √3, we have:

(1 - (2 + √3))v₁ + 2v₂ + v₃ = 0,

-√3v₁ + (3 - (2 + √3))v₂ + v₃ = 0.

Simplifying, we get:

-√3v₁ + (1 - √3)v₂ + v₃ = 0,

(1 - √3)v₂ + v₃ = 0.

Choosing v₂ = 1, we find v₁ = √3 - 1 and v₃ = √3.

For λ₂ = 2 - √3, we have:

(1 - (2 - √3))v₁ + 2v₂ + v₃ = 0,

√3v₁ + (3 - (2 - √3))v₂ + v₃ = 0.

Simplifying, we get:

√3v₁ + (√3 - 1)v₂ + v₃ = 0,

(√3 - 1)v₂ + v₃ = 0.

Choosing v₂ = 1, we find v₁ = -√3 and v₃ = -(√3 - 1).

Using these eigenvalues and eigenvectors, we can construct the general solution as:

X(t) = c₁e^(λ₁t)v₁ + c₂e^(λ₂t)v₂,

where c₁ and c₂ are constants determined by initial conditions or additional information.

Substituting the values, the general solution becomes:

X(t) = c₁e^((2 + √3)t)[√3 - 1, √3] + c₂e^((2 - √3)t)[-√3, -(√3 - 1)],

where c₁ and c₂ are constants determined by initial conditions.

This general solution represents all possible solutions to the given differential system.

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Answer:

Step-by-step explanation:

Cloning is tech

I hope i helped

Answer:

answer: 168 is the answer

a) There were 40 ducks in the lake at that particular time.

b) The number of ducks in the lake increased to 125 by that particular time.

(a) f(5) = 40:

This statement means that when we input the value 5 into the function f(t), the output is 40. In the context of ducks in a lake, it implies that five years after 1990, there were 40 ducks in the lake according to the model represented by the function f(t).

To elaborate further, the function f(t) assigns a specific number of ducks to each year after 1990. By substituting the value 5 into the function, we evaluate it at the specific time point that is five years after 1990. The output value of 40 indicates that, according to the model, there were 40 ducks in the lake at that particular time.

(b) f(20) = 125:

This statement indicates that when we input the value 20 into the function f(t), the output is 125. In terms of ducks in a lake, it means that twenty years after 1990, the model represented by the function f(t) predicts there were 125 ducks in the lake.

By substituting 20 into the function f(t), we are evaluating it at a different time point, specifically twenty years after 1990. The output value of 125 suggests that, according to the model, the number of ducks in the lake increased to 125 by that particular time.

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Answer:

36

Step-by-step explanation:

9÷1/4

=9×4

=36

Answer:

what? about that

Step-by-step explanation:

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

80 minutes or 1 hr 20 min

Step-by-step explanation:

This problem is proportional so if Victor washed 2 cars in 8 minutes, he can wash 1 car in 4 minutes. Therefore, 20 x 4 = 80 which is how long it would take him to wash 20 cars.

Step-by-step explanation:

A. My social security plus what I have put in a regular savings account will do

The correct option is A good guideline is 80% of your working income.

The 'rule of thumb' definition is considered to be a general principle that provides guidance for accomplishing or approaching a certain task or reaching a certain goal.

Given that, how much money we should need for retirement,

The rule of thumb assumes a retiree will need about 80% of their annual pre-retirement income (annual salary) to maintain a similar standard of living after retirement.

Hence, The correct option is A good guideline is 80% of your working income.

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Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).

We have,

The values of 9³, \(9^4\), and \(9^5\):

9³ = 729

\(9^4\) = 6561

\(9^5\) = 59049

Now,

The multiples of 729 that fall within the range (6561, 59049).

The number of multiples can be calculated as follows:

Multiples = (Highest value ÷ Divisor) - (Lowest value ÷ Divisor)

= (59049 ÷ 729) - (6561 ÷ 729)

= 81 - 9

= 72

Therefore,

There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).

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The benefit value of the widget on the books of abc is $8

The given parameters are:

Cost price = $5 cash

Selling price = $8 account

The benefit value of the widget is the same as their selling price on account

Hence, the benefit value of the widget is $8

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Answer:

Step-by-step explanation:

He made a mistake at step 2.

it is same as x² - 9x + 20 = 0

It should be:

Let's solve

\(\\ \sf\longmapsto x^2-12x=-20\)

\(\\ \sf\longmapsto x^2-12x+20=0\)

\(\\ \sf\longmapsto x^2-10x-2x+20=0\)

\(\\ \sf\longmapsto x(x-10)-2(x-20)=0\)

\(\\ \sf\longmapsto (x-10)(x-2)=0\)

\(\\ \sf\longmapsto x=10\:or x=2\)

Option B

\( \large \bf\dag \gray{\frak{Given}}\)

\( \\ \\ \)

\( \\ \\ \)

\( \large \bf\dag \gray{\frak{To~Find}}\)

\( \\ \\ \)

\( \\ \\ \)

\( \large \bf\dag \gray{\frak{Solution}}\)

\( \\ \\ \)

To find diameter first we have to find radius of the circle.

We can find find radius of Circle by using this formula:

\( \\ \\ \)

\( \bigstar \boxed{ \text{Circumference of circle = 2}\pi \times \text{radius}}\)

\( \\ \\ \)

Let radius be r here:

\( \\ \\ \)

\( \dashrightarrow \sf \: Circumference \: of \: circle = 2\pi r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:66 = 2 \times \dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \dfrac{66}{2} =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \cancel\dfrac{66}{2} =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:33 =\dfrac{22}{7} r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \:33 \times 7 =22r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{33 \times 7 }{22} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{ \cancel{33 }\times 7 }{ \cancel{22}} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{ 3\times 7 }{2} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \: \frac{21}{2} =r \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf r = \frac{21}{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf \boxed{ \bf \: r = 10.5m} \star\)

\( \\ \\ \)

Now let's find diameter of circle:

We know:

\( \\ \\ \)

\( \bigstar \boxed{ \rm \:Diameter \: of \: circle = 2 \times radius}\)

\( \\ \\ \)

So:

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times radius \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times 10.5 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 2 \times \dfrac{105}{10} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \cancel2 \times \dfrac{105}{ \cancel{10}} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = 1 \times \dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf \:Diameter \: of \: circle = \cancel\dfrac{105}{5} \\ \)

\( \\ \\ \)

\( \dashrightarrow \boxed{\bf\:Diameter \: of \: circle = 21m} \star\\ \)

\( \\ \\ \)

\(\therefore \underline {\textsf{\textbf{Diameter of circle is equal to \red{21m}}}} \orange{\bf{\dag}}\\ \)

The derivative of k(x) at x = 5 is equal to the sum of the products of each individual function's derivative with the remaining functions, and is equal to 195.

The derivative of a product of two or more functions is equal to the sum of the products of each individual function's derivative with the remaining functions.

Therefore, k'(5) = f'(5)g(5)h(5) + f(5)g'(5)h(5) + f(5)g(5)h'(5).

Substituting the given values of f(5), f'(5), g(5), g'(5), h(5), and h'(5) into the equation, we get:

k'(5) = (−4)(−6)(−5) + (3)(−9)(−5) + (3)(−6)(−3) = 6 + 135 + 54 = 195.

Thus, the derivative of k(x) at x = 5 is 195.

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