Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.

Answer:

1. 10.0 2. 10.2 3. 10.5 The diagonal distance between these two points is 298,766.5.

Step-by-step explanation:

1. Find the vertical distance between the two points, which is (10 - 3) = 7.

2. Find the horizontal distance between the two points, which is (298765 - 4) = 298760.

3. Use the Pythagorean Theorem to find the diagonal distance between the two points, which is the square root of (7^2 + 298760^2) = 298,766.5.

2.4 meter is approximately equal to 7.8740 feet ( rounded to four decimal places )

To convert 2.4 meter to feet, we can use the following formula:

1 meter = 3.28084 feet

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in feet = conversion factor × The length in meter

Substitute the values in the equation

2.4 m = 3.28084 × 2.4

Multiply the numbers

= 7.8740 feet ( rounded to four decimal places )

Therefore, 2.4 m is 7.8740 feet.

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Answer: Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

Step-by-step explanation:

First, let's calculate how many pages Malcolm can read in 1 minute:

5 pages / 12 minutes = 0.4167 pages per minute (rounded to four decimal places)

To find out how many pages Malcolm can read in 1 hour, we need to multiply the number of pages he can read in 1 minute by the number of minutes in an hour:

0.4167 pages per minute * 60 minutes per hour = 25 pages per hour (rounded to the nearest whole number)

Therefore, Malcolm can read 25 pages in 1 hour if he maintains the same reading speed.

As a result, the probability that the next individual would buy more than one costume is 7/310, which can already be stated as a fraction in its most basic form.

A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written as two numbers, one above the other, with a horizontal line separating them. The number above the line is called the numerator and the number below the line is called the denominator. For example, the fraction 3/4 represents three parts out of four equal parts, or the ratio of three to four. Fractions can be used to represent a wide range of values, including numbers between whole numbers (such as 1/2 or 3/5), ratios between quantities (such as 2/3 cups of flour to 1 cup of sugar), and percentages (such as 75/100, which is equivalent to 75%, or three-quarters). Fractions are an important concept in mathematics and are used in many different contexts, such as in cooking, measurement, and finance.

Here,

Out of the 93 visitors who did not purchase a costume, we do not have any information on how many of them might purchase more than one costume. So, we will ignore them for the purposes of this calculation.

Out of the 210 visitors who purchased exactly one costume, none of them purchased more than one costume.

Out of the 7 visitors who purchased more than one costume, we do not know how many costumes they actually purchased, but we do know that they purchased at least two.

So, out of a total of 93 + 210 + 7 = 310 visitors, we know that 7 purchased more than one costume, and we do not have any information on how many of the remaining 303 visitors might purchase more than one costume.

Therefore, the probability that the next person will purchase more than one costume is 7/310, which is already expressed as a fraction in simplest form.

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Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

The unit method is a technique of challenge where you first measure the value of a specific unit, then multiply a certain value to get the answer. Simply expressed, a minimum unit value is extracted from with a specified multiple using the unit method. For contrast, 40 pens will cost you about 400 rupees, or $1.01. The method used to execute this might be standardized. a solitary nation. anything seems to have a distinctive component. (Mathematics, Algebra) Its capable of integrating and opposite are equivalent. (Molecular Algebra, Quantitative Analysis, Math and science of Matrix or Operators)

given

Diego need to work

105/7

=15$ per hour

150/15

=10$ per hour

Diego would have to put in 15 hours of labor to make the same amount of money as Mia does in just 6.

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1) Jay buys a house for $40,000 less than he is willing to pay. He bought a house from a seller who received $2,000 more than he was willing to sell.

4) Kevin wanted to spend $50 on a dishwasher and bought it for $45 from a manufacturer hoping to get $40.

Economic Surplus:

Economic surplus, also known in mainstream economics as general welfare or general public welfare or Marshall's surplus (after Alfred Marshall), is one of two related quantities. Pay.

Producer surplus or producer surplus is the amount a producer receives by selling at a market price higher than the lowest price they are willing to sell. This roughly equals profit margin (because producers are usually unwilling to sell at a loss and are generally uninterested in selling at a break-even price).

Total economic surplus = supplier surplus + consumer surplus

On scenario 1, total economic surplus = $40,000 + $2,000 = $42,000

On scenario 2, total economic surplus = $2.25 + $3 = $5.25

On scenario 3, total economic surplus = $0

On scenario 4, total economic surplus = $5 + $5 = $10

Complete Question:

Select the two situations with the highest total surplus. correct answer(s) jay buys a house for $40,000 less than he was willing to pay. he bought his home from sellers who received $2,000 more than they were willing to sell for. bonnie buys flowers for $2.25 less than she was willing to pay. she bought them from a seller would have been willing to receive $3 less from the sale. don wanted to buy a scooter for no more than $5, but was only able to find a producer who would sell for $15. kevin wanted to spend $50 on a dishwasher and bought one at $45 from a producer who was hoping to receive $40.

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Answer:

8

Step-by-step explanation:

To evaluate the expression for j = -2, we simply substitute -2 for j and simplify:

10l(-2)l - 12 = 10 * |-2| - 12 (Note that the absolute value of -2 is 2)

= 10 * 2 - 12

= 20 - 12

= 8

Therefore, the value of the expression 10lj| − 12 when j = -2 is 8.

Greg and Jason are the people  who are legally required to file a tax return.

An amount of money that a government requires people to pay according to their income

Amanda, who can be claimed as a dependent and earned $850 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for dependents is $1,100 for 2022.

Greg, who can be claimed as a dependent and earned $12,650 last year, is required to file a tax return if his earned income (such as wages or salary) exceeds $12,400 in 2022.

However, if his earned income is less than $12,400 but he had any taxes withheld, he may want to file a tax return in order to claim a refund.

Jason, who cannot be claimed as a dependent and earned $1,500 last year, is required to file a tax return if his gross income exceeds $12,950 in 2022.

Lester, who cannot be claimed as a dependent and earned $1,000 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for single taxpayers under age 65 is $12,950 for 2022.

Hence, Greg and Jason are the people  who are legally required to file a tax return.

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On converting the weight , 151 lbs is equivalent to  68.492 Kilogram .

The Units of measuring weight are used to measure the mass or heaviness of an object. There are several units of measuring weight such as : Kilogram (kg) , Gram (g) , Pound (lb) .

We have to convert the weight 151 pounds (lbs) to kilograms (kg),

We use the conversion factor of 0.45359237 kg per pound.

We multiply the number of pounds by conversion factor to get the equivalent weight in kilograms.

By using this method, we get ;

⇒ 151 lbs × 0.45359237 kg/lb = 68.492 kg ;

Therefore, 151 pounds is equal to  68.492 Kilograms .

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The number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula [tex]n^{p}[/tex] = n × n × n × ... × n, where n is the base number and p is the exponent. For example,[tex]4^{2}[/tex] = 16 and [tex]4^{3}[/tex]= 64.

The number of times a number is multiplied by itself is known as the power or exponent. For example, let's say we have the number 4. If we want to calculate 4 to the power of 2 ([tex]4^{2}[/tex]), we are essentially multiplying the number 4 by itself twice. This is written as 4 multiplied by 4, which is equal to 16. In mathematical notation, the calculation is written as [tex]4^{2}[/tex]  = 16.To calculate the power of a number, we can use the exponent formula: [tex]n^{p}[/tex] = n × n × n × ... × n

where n is the base number and p is the exponent. For example, if we want to calculate[tex]4^{3}[/tex] (4 to the power of 3), we would write the formula as 4 × 4 × 4 = 64. The corresponding mathematical notation is [tex]4^{3}[/tex] = 64.

In summary, the number of times a number is multiplied by itself is known as the power or exponent. To calculate the power of a number, we use the exponent formula [tex]n^{p}[/tex] = n × n × n × ... × n, where n is the base number and p is the exponent. For example,[tex]4^{2}[/tex] = 16 and [tex]4^{3}[/tex]= 64.

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We know that Angle-side-angle is one of the criterias to find congruent triangles, then with the given information we can make only one unique triangle.

Here we know two of the angles of a triangles and the length of the side between these two angles.

This can be written as an: Angle-Side-Angle.

Remember that this is one of the conditions for congruent triangles.

This means that A-S-A defines completely a single triangle, thus, there is only one triangle that we can make with that information.

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Answer:

5 × 3.25 (3 1/4)=16.25 (16 1/4)

Step-by-step explanation:

If each batch requires 3 1/4 cups, and she bakes it repeatedly 5 times, then you multiply 3 1/4 by 5 to get 16 1/4.

The answer is 16 1/4 cups of flour she will use.

Answer:

To find out how much flour Kristen used in total, we can start by multiplying the amount of flour per batch by the number of batches.

First, we need to convert the mixed number 3 1/4 to an improper fraction, which is 13/4.

So, the amount of flour per batch is 13/4 cups.

To find out how much flour Kristen used in total for 5 batches of cookies, we can multiply the amount of flour per batch by the number of batches:

13/4 cups per batch x 5 batches = 65/4 cups

We can simplify this fraction by dividing both the numerator and denominator by 5, which gives us:

65/4 ÷ 5/1 = 13/4 ÷ 1/1 = 13/4 cups

Therefore, Kristen used 13 and 1/4 cups of flour in total for 5 batches of cookies.

To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

What did we do?

Starting with the function f(x) = -2x + 6, let's consider the transformations to the functions g(x) = f(x) - 1 and h(x) = f(x - 4).

For g(x) = f(x) - 1, we can see that the function is shifted downward by 1 unit from f(x). This means that every y-value of f(x) will be decreased by 1 to obtain the corresponding y-value of g(x). Therefore, the graph of g(x) will be the same as the graph of f(x), but shifted down by 1 unit.

For h(x) = f(x - 4), we can see that the function is shifted to the right by 4 units from f(x). This means that the input to f(x) will be increased by 4 to obtain the corresponding input to h(x). Therefore, the graph of h(x) will be the same as the graph of f(x), but shifted to the right by 4 units.

To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

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The expression that refers the operation "0.04 divided by n" is written as 0.04/n

An expression is a mathematical statement that contains operators, variables, and constants.

In this case, we want to write an expression that will represent the division of 0.04 by n.

The expression for this would be 0.04/n, where n is the number being divided by 0.04.

This expression shows that when 0.04 is divided by n, the result is 0.04 divided by n.

The expression can be used to calculate the result of any division problem involving 0.04 and n

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[tex]{\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}[/tex]

Standard equation of an ellipse is :

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1[/tex]

If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.

Now, our given equation is :

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1[/tex]

[tex]\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1[/tex]

[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.

And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.

The converted value of the 12inches to millimeters using scale factor is equal to ( 304.8 ) millimeters .

One inch is equal to 25.4 millimeters

Now multiply both the side of the expression by 12 we get,

⇒ ( 12 × 1 ) inches = ( 12 × 25.4 ) millimeters

⇒ 12 inches = ( 304.8 ) millimeters

Therefore, using the scale factor of inches to millimeter the required 12 inches is equal to 304.8 millimeters.

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The correct answer will be V =8×6×3 & V= 48×3. The volume of a rectangular prism = Length x Width x Height.

Volume is the quantity of space a thing occupies, whereas capacity is a measure of the substance it can store, such as a solid, a liquid, or a gas. Although capacity can be measured in virtually any other unit, such as litres, gallons, pounds, etc., volume is determined in cubic units.

Capacity. The total volume of space an object occupies in three dimensions is indicated by its volume. The term "capacity" describes something's ability to contain, absorb, or absorb by an object (such as a solid substance, gas, or liquid).

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Answer:

y = -x + 8

Step-by-step explanation:

In order to write the equation of the line in slope intercept form, we first need to find the slope of the line given 2 coordinates.

There is multiple coordinates, however I am going to choose the two closest to the y intercept. We can either use [tex]\frac{rise}{run}[/tex] or [tex]\frac{y2-y1}{x2-x1}[/tex]. For the sake of simplicity, we will use [tex]\frac{rise}{run}[/tex]

Using [tex]\frac{rise}{run}[/tex], the slope is -1.

The line passes through (0, 8), which means the y intercept is 8. Thus, the equation is [tex]y=-x+8[/tex]

The number 31 is divisible by one and itself, which is the sign of prime number and hence 31 is a prime number.

As per the definition, a number to become prime number must follow two conditions. These are:

In other words, point 2 can be understood as it should not be divisible by any number. It remains the number to be divisible by one and itself.

We can see that 31 is the number which can be divided by any number to leave zero remainder. Hence, 31 is a prime number. Apart from this, 41, 97 and many other numbers are examples of prime number.

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Answer:

R4700×5% = 235

total: R4700+235 = 4935

invest:R235 per month or year

Step-by-step explanation:

interest simple is increase your amount to addition increase from rate 5%

I use format a calculate that answer

Answer: 1i think 13213123123121232

Step-by-step explanation:first go home eat sleeo theyn wake up

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The value of ∫[1/(x² - 25)^3/2]dx when x = 5 secθ using integral by substitution, the answer is (1/2)[(x/5)^2 - 1]^-1/2 + C

To solve this problem, we simply need to use integration by substitution.

∫[1/(x² - 25)^3/2]dx when x = 5 secθ

We can start by making the substitution x = 5 secθ, which implies that dx/dθ = 5 secθ tanθ.

Substituting these expressions into the integral, we get:

∫[1/(x² - 25)^3/2]dx = ∫[1/(25sec²θ - 25)^3/2] (5 secθ tanθ)dθ

Simplifying the denominator inside the integral:

25sec²θ - 25 = 25(sec²θ - 1) = 25tan²θ

Substituting this back into the integral:

∫[1/(25tan²θ)^3/2] (5 secθ tanθ)dθ = ∫(5/125)tanθ/cos³θ dθ = ∫tanθ/cos³θ dθ

We can simplify this using the substitution u = cosθ, which implies that du/dθ = -sinθ and, therefore, -du = sinθdθ.

Substituting these expressions back into the integral, we get:

∫tanθ/cos³θ dθ = -∫(1/u³) du = u^-2/2 + C

Substituting back u = cosθ, we get:

u^-2/2 + C = cos^-2θ/2 + C

Therefore, the final answer in terms of x is:

cos^-2θ/2 + C = (1/2)[(x/5)^2 - 1]^-1/2 + C

Since the solution is not in the option, the answer is none of these

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Answer:

$4.80

Step-by-step explanation:

The processing fee was 20% of the price after the discount, which would be 20% of $34 minus 30%, or 20% of $23.80. This is equal to $4.76, which rounded to the nearest cent is $4.80.

Angle between two vectors calculator is a vector calculator tool for finding the angle between two vectors in 2D or 3D space.

The vector calculator is a tool that can be used to find the angle between two vectors in a 2D or 3D space. Given two vectors, the calculator uses a formula to determine the angle between them, which is expressed in degrees or radians.

                               θ = [tex]cos^-^1(\frac{a.b}{|a||b|})[/tex]

where,

a and b are the two vectors

θ is the angle between them

|a| and |b| are the vectors' respective magnitudes.

This calculator can be used for various applications in physics, engineering, and mathematics, where finding the angle is important.

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The range of the following graph is [-2, 3]

In mathematics, the range of a function is the set of all possible output values (also called the codomain) that the function can produce for its input values. The range is a subset of the codomain, and it describes the vertical extent of the function's graph. The range can be finite or infinite, and it can contain repeating values or be a continuous interval.

The values of y coordinate depicts the values of range

So, the range of the following graph is [-2, 3]

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Answer: If N is an integer and -2, then the possible values of N are:

N = -2

In other words, the only possible value of N is -2, since the problem statement states that N is equal to -2.

Step-by-step explanation:

Answer:

See explanation below

Answer is 1/8

Step-by-step explanation:

The expression is:

[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}}[/tex]

A number x raised to the power [tex]\dfrac{1}{3}[/tex] means it is the cube root of that number or [tex]\mbox{\large \sqrt[3]{x} }[/tex]

Also [tex]\left(\dfrac{1}{x}\right)^a = \dfrac{(1)^a}{x^a}[/tex]

Combining these two facts we get
[tex]\left(\dfrac{1}{512}\right)^{\frac{1}{3}} = \dfrac{1^{\frac{1}{3}}}{512^\frac{1}{3}}= \dfrac{\sqrt[3]{1} }{\sqrt[3]{512} } = \dfrac{1}{\sqrt[3]{512} }[/tex]

[tex]\sqrt[3]{512} = 8[/tex]

So
[tex]\left(\dfrac{1}{512}\right)^{\dfrac{1}{3}} = \dfrac{1}{8}[/tex]

Changing the order of the variables when computing the correlation coefficient has no effect on the value of "r" as it measures the strength and direction of the linear relationship between two variables.

The correlation coefficient denoted as "r", measures the energy and path of the linear dating between two variables. It ranges from -1 to one, in which -1 shows a perfect negative correlation, 0 indicates no correlation, and 1 shows an ideal advantageous correlation.

Whilst computing the correlation coefficient, the order of the variables does not have an effect on the cost of "r". This means that whether we calculate the correlation between variable x and variable y, or variable y and variable x, the resulting correlation coefficient will be equal.

That is due to the fact the correlation coefficient measures the degree of linear association between two variables, no matter which variable is taken into consideration because of the explanatory variable and which one is taken into consideration because of the response variable.

Therefore, the correlation between x and y could be similar to the correlation between y and x. But, it's important to observe that the translation of the correlation coefficient may additionally range depending on the research query and the context wherein it's far used.

The course of the connection among variables may also have one-of-a-kind implications relying on the specific state of affairs being analyzed.

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