What does "equidistant” mean in relation to parallel lines?O The two lines lie in the same plane.The two lines have the same distance between them.The two lines go infinitely.The two lines have an infinite number of points.

The meaning is that "If you share seven apples equally with three people, there are 2 1/3 apples for each person."

In this context, a "whole number to the denominator of three and the numerator one" refers to the fact that when the seven apples are divided equally among the three people, each person receives a whole number of apples, plus a fraction.

The denominator of the fraction is three because there are three people sharing the apples,

Tthe numerator of the fraction is one because each person receives one of the three equal parts.

The fraction 1/3 represents the amount of the seventh apple that each person receives. So, each person receives 2 whole apples and 1/3 of another apple, for a total of 2 1/3 apples.

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Answer:

$2,400

Step-by-step explanation:

First we need to find whatever that 5% is.

\(\frac{5}{100} \times \frac{2000}{1}\)

Which gives us $100.

Now, we multiply the $100 by 4.

Which is $400.

Now, we add that to the $2,000.

Which gives us $2,400.

Sorry for the late reply but hope this helps

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

8.9

Step-by-step explanation:

If you think of 8.9 as 8.90, then it's obvious that 8.90 (or 8.9) is greater than 8.83.

Answer:

8.9

Step-by-step explanation:

Answer:

7.2×10−5 the -5 is the exponent

Step-by-step explanation:

You have to move the decimal where there is no zeros when ever you move the decimal to the right is a positive and when ever you move the decimal to the left is a negative exponent for example: 0.0000568 is

5.68 × 10-5 the -5 is the exponent. The positive is 450000= 4.5×10 5 the 5 is the exponent

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

y = 2/5 x - 18/5

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1) = [-2 - (-6)]/[4 - (-6)] = 4/10 = 2/5

y = 2/5 x + b

-6 = (2/5)(-6) + b

-30 = -12 + 5b

5b = -18

b = -18/5

y = 2/5 x - 18/5

Answer: The answer is B

Step-by-step explanation:

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

Answer:

( x - 3 ) 3 .

Step-by-step explanation:

Since f−1(f(x))=x f - 1 ( f ( x ) ) = x and f(f−1(x))=x f ( f - 1 ( x ) ) = x , then f−1(x)=3√x+3 f - 1 ( x ) = x 3 + 3 is the inverse of f(x)=(x−3)3 f ( x ) = ( x - 3 ) 3 .

Answer:

f(x) = 3(4^x) - 3

= 3(2^2x) - 3 (since 4 = 2^2)

= 3(2^2x - 1)

So the simplified form of the given function is:

f(x) = 3(2^2x - 1)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Lateral surface contains B,C and D (because A and E are bases)

A (lateral surface area) = 70 + 70 + 56 = 196 cm^2

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The given triangle is a right angle triangle. Considering angle 18 as the reference angle,

x = hypotenuse

29 = adjacent side

We would find the hypotenuse, x by applying the cosine trigonometric ratio which is expressed as

Cos# = adjacent side/hypotenuse

Thus, we have

Cos18 = 29/x

29 = xCos18

x = 29/Cos18 = 29/0.95

x = 30.53

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Answer:

The asnwer is

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Step-by-step explanation:

I hope i helped you very much

Answer:

the answer is 113

Step-by-step explanation:

add by 3

Based on the definition of the formula unit, the only one that is an example of this concept is NaCl.

In chemistry, this concept refers to the representation of an ionic compound. This formula differs from others because it displays the lowest possible ratio in which the ions have the same charges and therefore the compound is neutral.

A classical example of this concept is NaCl because this includes a cation (positively charged) and an anion (negatively charged). Moreover, in this formula, the compound shows the lowest possible ratio between the two elements.

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Answer:

1.8

Step-by-step explanation:

2.6 - 0.8 = 1.8

The coefficient of variation or CV of the given numbers is 45.64%.

Given numbers are,

5, 8, 9, 2, 6

We have to find Coefficient of variation.

CV = (Standard deviation / sample mean ) × 100

Sample mean = Sum of the values / total number of values

                       = (5 + 8 + 9 + 2 + 6) / 5

                       = 6

Standard deviation = √[(Σ(x - mean)² / (n - 1)]

Σ(x - mean)² = (5 - 6)² + (8 - 6)² + (9 - 6)² + (2 - 6)² + (6 - 6)²

                    = 30

Standard deviation = √(30 / (5 - 1) = 2.7386

CV = (2.7386 / 6) × 100

     = 45.64%

Hence CV is 45.64%.

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The statement -4 is not in the domain of f(g) is true.

The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.

In a function for each domain, we get a possible output from dependent variable which is termed as range.

From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.

So, -4 is not in the domain of f(g) is true

hence, -4 cannot be a domain of given function f(g)

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The statement -4 is not in the domain of f(g) is true.

What is domain?

The domain is defined by the set of values of independent variables. The set of inputs that a function will accept is known as the domain of the function in mathematics. The collection of all potential inputs for a function is known as its domain.

What is range?

In a function for each domain, we get a possible output from dependent variable which is termed as range.

From the diagram shown -4 cannot be used as domain because the output might be an imaginary number.
So, -4 is not in the domain of f(g) is true
hence, -4 cannot be a domain of given function f(g)

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Answer:

\(y=\dfrac{5}{4}x\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Given points:

Substitute the points into the formula to find the slope:

\(\implies m=\dfrac{35-10}{28-8}=\dfrac{25}{20}=\dfrac{5}{4}\)

As the points form a proportional relationship, the equation of the line containing the given points is:

\(\implies y=\dfrac{5}{4}x\)

To graph the line:

(See attachment).

Answer: It is 144 but add pi symbol

Step-by-step explanation:

In conclusion the exact volume of the cone is 144π cubic inches.

How to solve and what does volume mean?

The radius of the circular base is half the diameter, which is 12/2 = 6 inches.

The volume of a cone can be found using the formula V = (1/3)πr²2h, where r is the radius and h is the height.

Substituting the given values, we get:

V = (1/3)π(6²2)(12)

V = (1/3)π(36)(12)

V = (1/3)(432π)

V = 144π

Therefore, the exact volume of the cone is 144π cubic inches.

Volume is a measure of the amount of space occupied by a three-dimensional object, such as a solid, liquid, or gas. It is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be determined by measuring its dimensions, such as length, width, and height, and applying the appropriate formula for the shape of the object.

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Answer:

Step-by-step explanation:

length is how long it is and width is how wide it is

Answer:

Group 1 polygons have sides that are the same length. But group 2 polygons do not.

Answer:

this is the remainder.

Answer:

a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 ​women, and measures their hand–eye coordination = paired samples

b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. =  independent samples

Explanation:

Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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