Baseball hats are on sale for 12% off the original price of the sale price is $12.50 what was the original price? round the answer to the nearest cent

The volume is simply the amount of space an object occupies.

Here , we are given the dimensions of a wastebasket shaped like a cylinder and we are then given the dimensions of a snack container shaped as a cylinder that was put inside of the waste basket. Given the following dimensions we are asked to find the volume left inside of the waste basket with the snack container inside of it.

To find this, we must find the volumes of both cylinders, we must then subtract the volume of the snack container from the volume of the wastebasket.

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire

V = π5²20

==> evaluate exponent

V = π25(20)

==> multiply 25 and 20

V = π500

==> simplify

V = 1570.8 (rounded to the nearest hundredth)

The volume of the waste basket is 1570.8 cubic inches

Required Formula :

Given Dimensions

Plugging in the given dimensions into the formula we acquire,

V = π4²6

==> evaluate exponent

V = π16(6)

==> multiply 16 and 6

V = π96

==> simply

V = 301.59 (rounded to the nearest hundredth)

The volume of the snack container is 301.59 cubic inches

Finally we can find the space left inside of the waste basked by subtracting the two volumes

The volume of the snack container = 301.59 cubic inches while the volume of the waste basket = 1570.8 cubic inches.

So remaining space = 1570.8 - 301.59 = 1269.21

The amount of space left inside of the waste basket is 1269.21 cubic inches so B is the correct answer choice.

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Answer -

\(50\div2\cdot\frac{7}{3}-1\)

Which equals...

\(\frac{172}{3}\)

or...

\(57.33333333\)

Hope this helps :')

Answer:

(-infinity, -2) ∪ (-3, infinity).

Step-by-step explanation:

To solve this compound inequality, we need to first solve each inequality separately. For the first inequality, 4(z+1) > -4, we can distribute the 4 to get 4z + 4 > -4. Then, we can subtract 4 from both sides to get 4z > -8. Finally, we can divide both sides by 4 to get z > -2.

For the second inequality, 2z - 4 < -10, we can add 4 to both sides to get 2z < -6. Then, we can divide both sides by 2 to get z < -3.

Now that we have solved both inequalities, we need to consider their intersection. Since the inequalities are joined by the "or" operator, the solution is the union of the solutions to each inequality. In interval notation, this is represented as the union of the intervals (-infinity, -2) and (-3, infinity).

Therefore, the solution to the compound inequality in interval notation is (-infinity, -2) ∪ (-3, infinity).

The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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Answer:

Perimeter=33

Step-by-step explanation:

2x+3=4x-3

0=2x-8

2x=8

x=4

Input 4 as Variable

2x+3=2(4)+3

=8+3

=11

P=3x11

P=33

The height of the rectangle will be 17 feet.

Let H be the height and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(H + W) units

A rectangle has a perimeter of 45 feet and a base of 5.5 feet.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle.

Then the height of the rectangle will be

45 = 2(H + 5.5)

22.5 = H + 5.5

H = 22.5 - 5.5

H = 17 feet

Thus, the height of the rectangle will be 17 feet.

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Answer:

about 17.21 feet

Step-by-step explanation:

Set your calculator to degree mode.

The figure is omitted--please sketch it to confirm my answer.

\( \sin(73) = \frac{h}{18} \)

\(h = 18 \sin(73) = 17.21\)

1)3/25

2)1/25

3)4/25

this is the correct answer

Answer:

see attached picture of the corrected answer

Answer: D; B

Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D

Required Probabilty = 161.1

n = 1111

Probability of getting correct P(c)= 1/2

Probability of getting wrong P(w)= 1/2

So it follows binomial distribution

P (x*r) = Ncr .(P)r . (q)n-r = P (33<X<55) = P(X-r) = 1111c4 .  (1/2) power of 44 . (1/2) power of 1111-44

Required Probabilty = 161.1

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Blue Graph has the point: (-2,2) and Red Graph has the point: (-2,0). Therefore, when you remove 2 units of y for blue graph you represent the red graph.

Answer Letter A

Answer:

Step-by-step explanation:

Answer is 17.2 YW

The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

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To find the percentage of data within one standard deviation of the mean, you can use the empirical rule, also known as the 68-95-99.7 rule.

This rule states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

So, to find the percentage of data within one standard deviation, you can calculate the percentage that falls between the mean minus one standard deviation and the mean plus one standard deviation. Since approximately 68% of the data falls within this range, the percentage of data within one standard deviation is approximately 68%.

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The solution for the given quadratic equation would be x = √8 and x = -√8.

What are quadratic equations?

A quadratic equation is an equation that can be written in the form\(ax^2 + bx + c = 0\) where x is the variable, and a, b, and c are coefficients. The variable x is the unknown value in the equation and the goal is to find the value(s) of x that make the equation true. The graph of a quadratic equation is a parabola. The general form of a quadratic equation is:

\(ax^2 + bx + c = 0\)

Where x is the variable and a, b, and c are constants.

The given equation is x^2 = 8, which is a quadratic equation.

The solutions to the equation x^2 = 8 are x = √8 and x = -√8.

Hence, the solution for the given quadratic equation would be x = √8 and x = -√8.

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a regression equation for this formula, where x represents the number of years enrolled and y represents the tuition.

y = 34000 - 2300x

Regression is a statistical technique that connects one or more independent (explanatory) variables to a dependent variable. If there is a relationship between changes in one or more of the explanatory factors and changes in the dependent variable, it can be shown using a regression model.

The regression equation for this formula would be:

Y = 34,000 - 2,300x

where Y is the tuition cost and x is the number of years in school.

The equation states that the tuition cost for any year in school (x) is equal to the freshman year tuition cost (34,000) minus 2,300 multiplied by the number of years in school (x).For example, if x = 4 (4 years in school), then the tuition cost for that year would be 34,000 - 2,300(4) = 25,400.

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A statement which best explains if the graph correctly represents the proportional relationship y = −2x include the following: D. Yes, the points shown on the line would be part of y = −2x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios, a straight line, and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Generally speaking, the graph of any proportional relationship such as the linear equation (y = -2x) is characterized by a straight line as shown in the image attached below, with the following ordered pairs (0, 0), (1, -2),(2, -4), and (-1, 2).

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Based on time conversion, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.

The age of the teacher in years is converted to seconds as follows:

Thus:

50 years to seconds will be:

50 × 365.25 × 24 × 60 × 60 = 1577880000 seconds.

Therefore, the age of a teacher who is 50 years old in seconds is 1577880000 seconds.

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The minimum number of masthead lights for the given vessel is 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,

Masthead lights = total length of the tow / total length of the vessel
                        = 100 / 35 = 2.85

So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.

Thus, the minimum number of masthead lights for the given vessel is 2.

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RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Answer:

D. (z) = (x − 3)¹ – 2​

Step-by-step explanation:

To determine which transformation of the parent square root function will result in the given domain and range, we need to consider the effects of the transformations on the function.

The parent square root function is given by f(x) = √x.

Let's analyze each option and see if it satisfies the given conditions:

A. j(x) = (x + 2)³ + 3

This transformation involves shifting the graph 2 units to the left and 3 units up. However, this does not change the domain of the function, so it does not satisfy the given domain condition.

B. k(x) = (z + 3) – 2

This transformation involves shifting the graph 3 units to the left and 2 units down. Again, this does not change the domain of the function, so it does not satisfy the given domain condition.

C. g(x) = (x − 2)³ + 3

This transformation involves shifting the graph 2 units to the right and 3 units up. However, this does not change the range of the function, so it does not satisfy the given range condition.

D. z(x) = (x − 3)¹ – 2

This transformation involves shifting the graph 3 units to the right and 2 units down. This shift does not affect the domain of the function, but it affects the range. The function z(x) = (x − 3)¹ – 2 starts at y = -2 when x = 3, and it increases as x goes to infinity. Therefore, it satisfies both the given domain and range conditions.

Based on the analysis, the correct transformation that satisfies the given domain and range is option D:

z(x) = (x − 3)¹ – 2

chatgpt

Answer:

vertex of parabola is =(0, -7)

Answer:

5/8

Step-by-step explanation:

8/8-3/8=5/8

The corresponding z-score is -1.80 (rounded to two decimal places).  The x value corresponding to z = -0.25 is x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50)).

To find the x value corresponding to z = -0.25, we need to use the standard normal distribution table or calculator. First, we calculate the z-score:
z = (x - μ) / (s / sqrt(n))
where μ is the population mean (which we don't know), s is the sample standard deviation, n is the sample size, and x is the value we want to find. Rearranging this formula, we get:
x = μ + z * (s / sqrt(n))
Substituting the given values, we get:
x = μ + (-0.25) * (12 / sqrt(50))
x = μ - 1.697
Now we need to find the corresponding value of x from the standard normal distribution table or calculator. Looking up -1.697 in the table, we find that the corresponding area is 0.0445. Since we're looking for the left-tail area (z < 0), we subtract this area from 0.5 (the total area under the curve):
0.5 - 0.0445 = 0.4555
Looking up 0.4555 in the table (or using a calculator), Therefore, the x value corresponding to z = -0.25 is:
x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50))

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The required numbers are given as 330, 440, 550, and so on.

Given that,
To determine the number has 0 ones. The digits in my hundreds and tens places are the same.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

here,
Since the number should be greater than 310 and the digit on the unit place and on the ten places should be identical,
So the number can be given as 330, 440, and so on.

Thus, the required numbers are given as 330, 440, 550, and so on.

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Answer:

Step-by-step explanation:

33