help!!!
Let f(x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x−5/3)
f(x)−5/3

Answer:

x = 2,187

Step-by-step explanation:

27×27×27+27×27×27+27×27×27 =27x

19,683+19,683+19,683 =27x

59,049 = 27x

divide both sides by the coefficient of x ( 27 )

59,049 / 27 = 27x / 27

x = 2,187

As per the given equation the height of the cliff is 196.225 feet.

We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as [tex]d = kt^2[/tex] for some constant of proportionality k.

We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:

[tex]144.9 = k(3^2)[/tex]

k = 16.1

Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:

[tex]d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225[/tex]

So, the height of the cliff is 196.225 feet.

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We can tell if a number is rational or irrational by Venn Diagram

Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.

All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.

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Answer: The answer is no, they are not proportional

Step-by-step explanation:

Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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Answer:

Step-by-step explanation:

Let the speed be x km/h

Let the time be t

In △ADC,

tan30°=

h

xt

​

3

​

1

​

=

h

xt

​

h=  xt

In △ABD,

tan60°=

h

x(6+t)

h=  

x(t+6)

3​

xt=

x(t+6)

3t=6+t

t=3 seconds

∴ total time taken=6+3=9 seconds

Answer:

Mason can make 20 sandwiches.

Step-by-step explanation:

The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

Given are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).

The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -

R' (1, -6)

S' (5, -3)

T' (3, 2)

The graph is attached.

Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

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mean of the sampling distribution of the difference in sample proportions is 0.36.

The best method for the random sampling will be to write the students' names on paper and pick them out of a hat, as each student will have an equal chance of being chosen.

22% of the population of eastern grey squirrels weigh more than 0.5 kg.

36% of the population of western grey squirrels weigh more than 0.5 kg.

Eastern grey squirrel sample size is 60.

There were 120 western grey squirrels in the sample.

Required:

The difference in sample proportions' mean of the sampling distribution (eastern minus western)

The difference of the mean yields the mean of the difference.

Mean = p1 - p2 is the sampling distribution's average for the difference in the sampling proportion from two populations.

Where;

p1 = 22% of the eastern grey squirrel, which equals 0.22.

p2 = 36% of the western grey squirrel, which equals 0.36.

Therefore;

p1 - p2 = 0.22 - 0.36 is the mean.

The right answer is (E) 0.22 - 0.36.

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"17/8" pounds of apples were left to give to his grandmother.

Since we have given that

The quantity of apples he picked is given by 6.1/2⇒13/2 pounds.

The quantity of apples he picked for his aunt is given by 2.3/4⇒11/4 pounds.

The quantity of apples he picked for his mother is given by 1.5/8⇒13/8 pounds.

So, the total quantity left for his grandmother is given by

first we have to add the quality of apples he picked for his aunt and the number of apples he picked for his mother.

After subtracting from what he picked.

⇒13/2-(11/4+13/8)

⇒13/2-(22+13/8)

⇒13/2-(35/8)

⇒52-35/8

⇒17/8

Hence, 17/8  pounds are left for his grandmother.

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Answer:

0

Step-by-step explanation:

The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.

Answer:

the answer is (a) x² - 2hx + h²

Step-by-step explanation:

(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)

x² - hx -hx + h²

= x² - 2hx + h²

Answer:

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

Use the identity:

Substitute a = x, b = h to get:

This is the option A.

Answer:

2 is the highest degree because it's the only exponent

Answer:

737

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2

b.we konw (A+2-A)×4-1=A+1, so A=6

therefore, the three Integer are 6, 7, 8.

Answer:

1.6285

Step-by-step explanation:

28 = 4/5x-8

Cross multiply

140x-224=4

140x =224+4

140x = 228

x = 228/140

x = 1.6285

Answer:

pls give me the brainliest

the answer is in the attached document

Answer:

1 13/15

You need to turn the mixed number into an improper fraction to multiply.

The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.

Few examples :

For a square, the formula to find the side (s) is:

s = √(A)

where A is the area of the square.

For a rectangle, the formula to find the length (l) and width (w) are:

l = A/w and w = A/l

where A is the area of the rectangle.

For a triangle, the formula to find the base (b) and height (h) are:

A = (b*h)/2

where A is the area of the triangle.

For a cube, the formula to find the side (s) is:

V = s^3

where V is the volume of the cube.

Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.

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the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 12 × [6.3 + 3 × (1.9)]

Simplify the numerical expression, then we have

⇒ 12 × [6.3 + 3 × (1.9)]

⇒ 12 × [6.3 + 5.7]

⇒ 12 × 12

⇒ 144

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

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The distance between the stake from the pole is 6.25 ft.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that a utility pole is 5 ft high. An 8 ft cable is stretched from the top of the pole to a stake in the ground.

The distance will be calculated as,

B² =  H² - P²

B = √(8² - 6²)

B = √ ( 64 - 36 )

B = √39

B = 6.25 ft

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The best explanation of Irrational Numbers is that , the numbers  that cannot be expressed as a ratio of integers are called as Irrational Numbers .

What are Irrational Numbers ?

The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.

For Example : [tex]\pi[/tex] is an irrational number as   [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.

Some Property of Irrational Numbers are :

(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.

(ii) The Irrational Numbers  are real numbers only.

(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.

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The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.

This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.

This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.

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Answer:

72.38

Step-by-step explanation:

When converting from mm to cm divide the length value by 10

Answer:

208

Step-by-step explanation:

60 percent of 520 is 312

520 subtract 312 is 208

Answer:

208

Step-by-step explanation:

(520)-60% of 520

(520)-3×104

520-312

=208

Hope it helps you

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The value of x using Pythagorean theorem is 14.05 units

An equation shows how two or more numbers and variables are related to each other.

Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:

hypotenuse² = adjacent² + opposite²

In the diagram, using Pythagoras theorem:

22² = (x + 1)² + (x + 2)²

484 = x² + 2x + 1 + (x² + 4x + 4)

2x² + 6x + 5 = 484

2x² + 6x - 479 = 0

x = 14.05

The value of x is 14.05 units

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probability of landing on heads - 49 %

Answer:

49%

Step-by-step explanation:

(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.

(b) - The researcher can use the results of the study to make generalization to the entire population.

Bias

A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.

generalization

It is the tendency to respond in the same way to different but similar stimuli.

A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.

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The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:

[tex]nCr = n / (r(n-r))[/tex]

where n is the total number of options (43) and r is the number of choices (5).

so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]

Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.

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Taking into account, the number of successful throws into different shapes, Mollie is just as likely to hit a triangle as a circle. i.e option C.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.

Since, the number of throws of darts by Mollie is same for both the circle and triangle, there is equal likelyhood to hit the triangle as a circle. Which is the required true statement.

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