f(x) = x-2
g(x)=-2x+8/3

The distance from the building to the base of the board is 2.7feet ( nearest tenth).

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The angle of elevation from the point of the board is 70°.

The wall of the building is the opposite to the angle and the the distance from the building to the base of the board is adjascent. The height of the board is the hypotenuse.

Therefore,

cos (tetha) = adj/hyp

cos 70° = x/ 8

x= cos 70° × 8

x = 2.7 feet ( nearest tenth)

therefore the The distance from the building to the base of the board is 2.7feet

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The distance from the building to the base of the board is; 2.7 ft

The six trigonometric ratios are expressed as;

sine (sin) = opposite/hypotenuse

cosine (cos) = adjacent/hypotenus

tangent (tan) = opposite/adjacent

cotangent (cot) = 1/tan

cosecant (cosec) = 1/sin

secant (sec) = 1/cos

Now, we are since the board is leaning against the building and the angle formed by the board with the ground is 70°, then we can say that;

x/8 = cos 70

where x is the distance from the building to the base of the board

x = 8 * cos 70

x = 8 * 0.3420

x = 2.736

Approximating to the nearest tenth gives;

x = 2.7 ft

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Answer: No answer

Step-by-step explanation:

U apparently decided to leave out the question, but from what I can see they are asking you for the shifting of graphs. So  just count not how far the graph has shifted in the x or y direction

Answer:

OC

Step-by-step explanation:

price at store A= $19.95

price at store B= 80%

                         = (100-20) x ($22.50/100)

                         = $18.00

since the price at store B is $18.00, it has better deal as it's cheaper.

correct option= OC

The exact value of CSC(theta) in simplest radical form is √106/6√7.

Angle is a two-dimensional figure formed by two rays, or line segments, that have a common endpoint. It is usually measured in degrees or radians, and is used to describe the amount of rotation between two line segments. Angles can be acute, right, obtuse, straight, or reflex depending on the measure of the angle. Angles can also be classified as complementary, supplementary, vertical, adjacent, interior, or exterior.

CSC(theta) is the reciprocal of the Sine of theta and can be found by using the Pythagorean Theorem. The distance from the origin to the point (-9,-5) is the hypotenuse of a right triangle, which has sides of length 9 and 5.

The hypotenuse is equal to the Sine of theta, so by using the Pythagorean Theorem we can find the Sine of theta:

Sin(theta) = √(9^2 + 5^2) = √(81 + 25) = √106.

Therefore, CSC(theta) = 1/Sin(theta) = 1/√106 = √106/106 = √106/6√7.

Thus, the exact value of CSC(theta) in simplest radical form is √106/6√7.

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Given that 5% of people with blood type o are left-handed, the likelihood that this person has blood type o is 9/44.

A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.

given

E2 =Event that the person selected is of other than blood group O

(E3)=Event that selected person is left handed

∴P(E1)=0.30,P(E2)=0.70

P(E3/E1)=0.06andP(E3/E2)=0.10

By using Baye's theorem, P(E1/E3)=P(E1)⋅P(E3/E1)P(E1)⋅P(E3/E1)+P(E2)⋅P(E3/E2)

=0.30×0.06 /0.30⋅0.06+0.70⋅0.10

=0.0180/0.0180+0.0700

=0.0180/0.0880=180 /880=9 /44

Given that 5% of people with blood type o are left-handed, the likelihood that this person has blood type o is 9/44.

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Answer:There you go

Step-by-step explanation:

Step 1: Take the first digit of the dividend from the left. ...

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

581.59 cubic inches juice  can Ramon pour into 6 cups

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Ramon is filling cups with juice.

The shape of the cup is like cylinder.

The cup has a diameter of 4.2 inches and height of 7 inches.

We need to find the amount of  juice can Ramon pour into 6 cups

Volume of one glass=πr²h

=3.14×(2.1)²×7

=3.14×4.41×7

=96.9318

Now for 6 glasses we have to calculate

=6×96.932

=581.59 cubic inches

Hence, 581.59 cubic inches juice can Ramon pour into 6 cups

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Answer:581.59 cubic inches

The first person to answer was correct.

Step-by-step explanation:

I took the quiz so you don't have to!

After solving the question, the derivative of log 5x is [tex]\frac{1}{5}[/tex].

In the given question, we have to find the derivative of log 5x.

The given function is log 5x.

The chain rule has a specific case known as the logarithm rule. It is helpful when determining the derivative of a function's natural logarithm. According to the logarithm rule, this derivative is equal to the function's derivative multiplied by 1, or 1.

Now finding the derivative of log 5x.

log 5x = [tex]\frac{d}{dx}[/tex]log 5x

As we know that [tex]\frac{d}{dx}logx = \frac{1}{x}[/tex]

log 5x = [tex]5\times\frac{1}{5x}[/tex]

log 5x = [tex]\frac{1}{x}[/tex]

Hence, the derivative of log 5x is [tex]\frac{1}{5}[/tex].

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Answer:

purple

Step-by-step explanation:

the bible says so

you can also work with a professional services provider to develop a custom integration solution for your specific needs.

Xe 7x can be integrated into a system in a few ways. The first way is to use the Xe 7x SDK (Software Development Kit) to build a custom solution that integrates the Xe 7x platform with existing systems. This SDK provides a set of tools, libraries, and samples which allow developers to create applications that leverage the Xe 7x platform.

The second way is to use the Xe 7x Connector. This is a pre-built solution that allows you to quickly integrate Xe 7x into existing systems. The Connector provides a set of APIs that allow you to access the Xe 7x platform, as well as several libraries and samples to get you started.

The third way is to use the Xe 7x Marketplace. This is an online store where you can find and purchase pre-built solutions that integrate Xe 7x with various other platforms.

Finally, you can also work with a professional services provider to develop a custom integration solution for your specific needs.

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Rounding is a mathematical process in which a number is adjusted to the nearest multiple of a specified value. For example, when rounding 72 to the nearest 10th, it is rounded down to 70.

Rounding is a mathematical process used to make numbers easier to work with. It involves adjusting a number to the nearest multiple of a specified value, usually a multiple of 10, 100, or 1000. When rounding a number, the number is adjusted to the nearest multiple of the specified value. This can be done by looking at the digit to the right of the number being rounded. If the digit is 0 through 4, the number stays the same. If the digit is 5 through 9, the number is rounded up. For example, when rounding 72 to the nearest 10th, the digit to the right is 2, so the number stays the same. However, if the number was 73, the digit to the right would be 3, so the number would be rounded up to 80. Rounding is an important concept in mathematics, particularly when dealing with large numbers, as it allows for easier manipulation of the numbers.

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Answer:

what is the question exactly?

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

hope i helped

Answer: $7.75

Step-by-step explanation:

The question says that Brett tips his taxi driver 20%.

This means that for a certain taxi ride, 20% of the fare f will be given as a tip.

His fare in this case came to $38.75, so the answer is 20% of 38.75

which is $7.75

Answer:

(A.) & (D.) are your answers i hope you have a great day

Step-by-step explanation:

The percent abundance of the post-1982 pennies is 56%.

percent abundance =  (28) / (50) x 100%

percent abundance =  56%

Thus, the percent abundance of the post-1982 pennies is 56%.

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Answer:

a. x=15

b. x=17

Step-by-step explanation:

Answer:

A) The equation "x/5=3" can be solved by multiplying both sides by 5 to get rid of the fraction. This gives us "x=15". So the value of x that makes the equation true is 15.

B) The equation "x/2=8.5" can be solved by multiplying both sides by 2 to get rid of the fraction. This gives us "x=17". So the value of x that makes the equation true is 17.

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Given an alphabet of m symbols, the number of possible palindromes with length n is: m^(n/2) is n is even and m^((n+1)/2) if n is odd.

A palindrome is defined as a set of characters that are the same forwards and backwards. Example pqrrqp

Suppose we have m symbols in an alphabet and we want to construct palindromes with length n.

Example:

The alphabet costs of 10 symbols, for example lower case a,...,j, and we want construct palindromes of length 5. To make a palindrome with length of 5, we need 3 symbols form {a,b,..,j} for example hiaih. Hence, the number of possible palindromes is: 10³ = 1000

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Answer: C and E

Step-by-step explanation: After combining like terms and solving for x by using the quadratic formula, you get x = 3 and x = 1

X = -2 is a vertical line, a straight line that goes straight up and down and does not go from side to side.

A vertical line is perpendicular to the x-axis. The equation for a vertical line is x = some constant, where the constant is the x-coordinate of every point on the line. In the equation x = -2, the constant is -2.

This means that every point on this line has an x-coordinate of -2, no matter what the y-coordinate is. Every point on the line (x, y) will have an x-coordinate of -2, while the y-coordinate can be anything.

For example, the point (x, y) = (-2, 7) is on the line x = -2, while the point (x, y) = (-2, -3) is also on the line x = -2. Since the equation x = -2 is a constant equation, the line will never intersect the x-axis; instead, it will always stay at the same x-coordinate of -2.

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Outfitters must sell at least 0.4 shirts, which is approximately equal to 0 shirts, to break even.

An equation is a mathematical statement that states that two expressions are equal. It usually consists of variables, coefficients, and constants, connected by operations such as addition, subtraction, multiplication, and division. Equations are used to model relationships between different quantities and to solve problems in various fields such as physics, engineering, and economics. For example, the equation y = mx + b represents a straight line in two-dimensional space, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Let's define the variables:

x = the number of shirts Outfitters must sell to break even

c = the total cost of production (plain gray T-shirt + screen printing) = $3.50 + $2.50 = $6.00

p = the selling price of the T-shirt = $15.00

The equation to represent the number of shirts Outfitters must sell to break even can be written as follows:

x * p = x * c

Solving for x:

x = c / p

x = $6.00 / $15.00

x = 0.4

Outfitters must sell at least 0.4 shirts, which is approximately equal to 0 shirts, to break even. However, since they can't sell fractional shirts, they must sell at least 1 shirt to break even.

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The zeros of the polynomial function ƒ(x) = -x³ + 2x² + x − 2 are the x-values at which the function equals zero. The solution is x = 1, x = 2, and x = -1.

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents. Its basic form is a monomial, which is a single term with a coefficient and an exponent. Polynomials may also include higher degree terms of two or more terms connected by addition, subtraction, and multiplication. Polynomials are used to model a variety of situations in mathematics, engineering, economics, and other fields.

This can be determined by solving the equation ƒ(x) = 0. A cubic equation  of this form can be solved by factoring, so the solution is x = 1, x = 2, and x = -1. These three values are the zeros of the polynomial function ƒ(x) = -x³ + 2x² + x − 2.

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The value of x is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

√(x - 1)² = 1 - x

√(x - 1)² can be written as (x - 1).

Now,

x - 1 = 1 - x

x + x = 1 + 1

2x = 2

x = 1

Thus,

x is 1.

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As P-value > significance level (i.e.,0.05), so, null hypothesis can't be rejected. There is no sufficient evidence to support our claim that there was a decrease in voter support for the new candidate after the unfortunate remarks were made.

We have two random samples related to election. For first Sample : Voters was interviewed 3 weeks before the start of a state-wide campaign for governor. Sample size, n₁ = 415

Sample mean, X₁ = 223

Sample proportion for sample one :

[tex]p₁ = \frac{X₁}{n₁ }= \frac{223}{ 415} = 0.537[/tex]

Consider sample 2ⁿᵈ for several unfortunate remarks one week before the election.

Sample size, n₂ = 630

Sample mean, X₂ = 317

Let the significance level be 95% .

Sample proportion for sample two :

[tex]p₂ = \frac{X₂}{n₂ }= \frac{317}{630} = 0.503[/tex]

A two-proportion Z-test is a statistical hypothesis test used to determine whether two proportions are different from each other. Consider the null and alternative hypothesis,

[tex]H₀ : p₂ = p₁

Hₐ : p₂ < p₁[/tex]

Now, we have to check the hypothesis by two- proportion Z-test. Formula is,

[tex]Z = \frac{( p₁ - p₂)}{ \sqrt{p(1- p)( \frac{1}{n₁} + \frac{1}{ n₂}})}[/tex]

p is mean of both the samples where k₁ is successes out of n₁ data in sample 1 and k₂ is successes out of n₂ data in sample 2.

[tex]p = \frac{k₂+ k₁} { n₂ + n₁} = 0.512[/tex]

Now, plugging all known values in above formula,

[tex]Z = \frac{( 0.537 - 0.503)}{ \sqrt{0.512(1- 0.512)( \frac{1}{415} + \frac{1}{ 630}})}[/tex]

[tex]Z = \frac{0.034}{ \sqrt{0.512(0.488)(0.00399 )}}[/tex]

[tex]Z = \frac{0.034}{ 0.0316} = 1.076[/tex]

The p-value or z-critical value for two tailed test is 0.2819. We see that 0.281>0.05 ( significance level). So, Null hypothesis can't be rejected. Therefore, null hypothesis is true i.e., there is no decrease in voter support for the new candidate.

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Answer: 16m, 256m².

Step-by-step explanation: A square is a four sided polygon with congruent (equal) angles as well as sides, lastly the perimiter is the sum of all the sides. Letting the sides of such square of perimeter be represented by x. Since a square has 4 sides, 4x = 64m, and thus x = 16m (side length). The area is the product of the height and the width of the square, since all sides are equal, that is 16m x 16m = 256m².

16 m is the length of one side and 256 m² is the area of the square.

Let the side of the square be "S"

The formula for the Perimeter of a square = 4 × S

Since 4 times its Side is 64 m (given)

Length of one side  = 64/4  = 16 m

We can say, Side (S) = 16 m

Formula for the Area of a Square = S × S = 16 × 16  = 256 m²

Hence, the length of one side is 16 m and the area of the square is 256 m².

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The scientific number 3.14E5 in standard form is 314,000.

What is standard form?

In mathematics, the most typical way to represent a specific element is called standard form. Every mathematical concept, including big numbers, tiny numbers, equations, and lines, has a standard form. It is the simplest form in which lines, numbers and equations can be represented.

The given scientific number is 3.14E5.

Scientific notation is mostly used by scientists to handle very small or very large numbers. Using calculators to convert length, weight or mass units, often results are displayed in scientific notation.

E5 represents the value 10^5.

So, when the scientific number is converted into exponent form, it is -

3.14e5 = 3.14 x 10^5

Then the result is converted into whole number to get the standard form -

3.14 x 10^5 = 314,000

Therefore, the standard form is 314,000.

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One of the most important decisions handed down by Chief Justice John Marshall and the Supreme Court was Marbury v. Madison, in 1803.

Power in math is the number of times a number is multiplied by itself. For example, when calculating the number 3 to the power of 4, the result is 81 — 3 multiplied by 3 multiplied by 3 multiplied by 3. When written as an equation, it would look like 3^4 = 81. Power can also be used to calculate exponents, which are the number of times a number is multiplied by itself and then added together.

This case established the concept of judicial review, the power of the Supreme Court to declare laws unconstitutional. This was a significant decision because it gave the Supreme Court the power to interpret the constitution and to determine the limits of federal power. This ruling gave the Supreme Court the ability to strike down acts of Congress and state laws that violated the constitution. This ruling effectively strengthened the power of the federal government by allowing it to enforce its laws over those of the states. The ruling in Marbury v. Madison was a major milestone in the development of federal government power and has been cited in numerous court decisions since then.

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Shifting a graph up and down is known as vertical shifting. This is done by adding a constant to the function's output.

Vertical shifting is a way of changing the position of a graph on the y-axis. It is done by adding or subtracting a constant from the output of the function. For example, if the original function is f(x) = x2, shifting the graph up by 3 would be done by adding 3 to the output of the function, resulting in the function f(x) = x2 + 3. Similarly, a graph could be shifted down by subtracting a constant, for example, f(x) = x2 - 3. This shifts the graph along the y-axis, either up or down, while leaving the x-axis unchanged. This is a useful tool when comparing functions or analyzing changes in a graph over time.

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Her sister is twice as old as Cheryl ,her sister's age in terms of x is 2x years old.

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Amy pay $504 for the tiles for her bathroom floor.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

Scale: 1/2 inch = 1 foot

As, the bathroom measures 3 inches by 3 1/2 inches.

Actual measurement of the bathroom:

3 x 2 = 6 ft

3 1/2 x 2 = 7 ft

So, Area of the bathroom = 6 x 7 = 42 ft²

The side length of 1 tile is said to be 1/2 ft.

Therefore, the area of 1 tile would = 1/2 x 1/2 = 1/4 ft².

Number of tiles that would cover 42 ft² would be:

= 42 / (1/4)

= 42 x 4

= 168 tiles

Thus, Amy pay

= 168 x 3

= $504.

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The function f(x) converts x nickels to pennies and the function g(x) converts x pennies to nickels. Applying g(50) to 50 pennies gives 10 nickels.

The function g(x)=x÷5 converts x pennies to nickels.

Applying g(50) to 50 pennies:

g(50)=50÷5

=10 nickels

The function f(x)=5x converts x nickels to pennies. This means that for every nickel, 5 pennies are produced. To convert pennies to nickels, the inverse of this function is needed. The inverse of f(x)=5x is g(x)=x÷5. This function converts x pennies to nickels. When g(50) is applied to 50 pennies, the result is 10 nickels. In other words, 50 pennies can be converted to 10 nickels. To summarize, the function g(x)=x÷5 effectively converts pennies to nickels, allowing the user to easily convert between the two currencies.

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