Which expression has a value of one

Answer:

2 is 20% of 10

Step-by-step explanation:

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The mean height of the hexagon is 21.33 in.

To find the length of the sides of a regular hexagon with a perimeter of 372 inches, you must divide the perimeter by 6. This gives you a result of 62 inches for the length of each side. The other steps are:

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The data in the accompanying table of 36 diamonds includes the price (in dollars), the weight (in carats), and the clarity grade of the diamonds. The diamonds have clarity grade either VS1 or VVS1. VVS1 diamonds are nearly flawless; VS1 have more visible (but still small) flaws. The results of the two-sample t-test to compare the prices of VS1 and VVS1 diamonds are as follows: Sample statistic, Two-sample t-statistic, P-value, Interpretation.

Sample statistic: The difference between the sample means of the two groups is x₁ - x₂ = -56.78 (rounded to two decimal places).

Two-sample t-statistic: The calculated t-value is -2.301 (rounded to three decimal places).

P-value: The p-value associated with the t-statistic is 0.0300 (rounded to four decimal places).

Interpretation: Based on the p-value, which is less than the commonly used significance level of 0.05, we can conclude that there is statistically significant evidence to suggest that there is a difference in prices between VS1 and VVS1 diamonds.

The negative value of the sample statistic indicates that, on average, VS1 diamonds have lower prices compared to VVS1 diamonds. This aligns with the definitions of the categories, as VVS1 diamonds are considered to have a higher clarity grade and are expected to command higher prices.

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Answer:

soln ,given,

midpoint of CD=M(-2,5)

let,

C(4,7)=(x1,y1)

D(x1,y2)=?

now by using midpoint formula =(x1+x2)/2+(y1+y2)/2

M(-2,5)=( 4+x2)/2+(7+y2)/2

comparing both sides

-2=(4+x2)/2

-4=4+x2

-4-4=x2

threfore,x2= -8

again

5=(7+y2)/2

10=7+y2

therefore,y2=3

thus , the coordinate of D is D(-8,3)

The equation of the parabola with the given properties is 4x = -y².

Let P (x, y) be a point on the parabola, and PF and PD be the distances from the focus and the directrix, respectively. Let's take a point A (-9, y) on the directrix, then the distance PD is the perpendicular distance from P to the line x = -9, or simply |x + 9|.

Similarly, PF is the distance between P and F, or PF = √[(x - 9)² + (y - 0)²].

According to the definition of the parabola, the distance PF is equal to the distance PD. Hence,

|x + 9| = PF = √[(x - 9)² + y²]²

Squaring on both sides, we get

(x + 9)² = (x - 9)² + y²

x² + 18x + 81 = x² - 18x + 81 + y²

4x = -y²

The equation of the parabola is 4x = -y².

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Answer:

...........................

354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

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Answer:

12 x 10 = 120

120 divided by 2 = 60

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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As per the combination method, there are 15 different ways are possible for this situation.

Combination method:

Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.

Given,

Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.

Here we know that that the value of

Total number of students = 6

Best student = 1

Runner - up = 1

So, as per the NCR formula, the value of n = 6 and the value of r = 2

Then the possible combinations are calculated as,

=> ⁶C₂ = 6! / 2!(6 - 2)!

=> ⁶C₂ = 6!/2!4!

=>⁶C₂ = 15

Therefore, the resulting number of ways is 15.

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Answer:

3x^2+10x-48

Step-by-step explanation:

(3x-8)(x+6)

3x*x+18x-8x-48

3x^2+10x-48

Answer:

C

Step-by-step explanation:

Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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The equation that can be used to find the number of students  in Gwen's class is 44 = 2s.

Each student must make a parachute that can safely carry a raw egg from the school roof to the ground.

On the day of the parachute experiment, Gwen's teacher gives 2 raw eggs to each student in the class.

She gives out a total of 44 eggs.

Therefore, the equation that can be used to find the number of students in Gwen's class is as follows:

let

s = number of students

Hence,

44 = 2s

s = 44 / 2

s = 22

There are 22 students.

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The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer:

X=1/4

Step-by-step explanation:

(x+x)*8=4

(2x)*8=4

16x=4

X=4/16=1/4

Answer:

0.25

Step-by-step explanation:

First...

Assume that the number is x and make an equation.

(x + x) 8 = 4

Next...

Add.

(2x) 8 = 4

After that...

Divide.

2x = 4/8 so 2x = 1/2

Finally...

Divide more

x = 1/4 or 0.25

So your answer is 0.25.

I did double-check.

Answer:

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

Caleb found the product of all factors, not just the ones common to each term. Then the correct option is C.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 3x² – 9x

The factor of 3x² will be 3 · x · x.

The factor of 9x will be 3 · 3 · x.

GCF = 3 • 3 • x • x = 9x²

Caleb found the product of all factors, not just the ones common to each term.

Then the correct option is C.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Length: 18 in.

Width: 6 in.

We can use “x” as the width in this scenario. If the width is x, then the length is 3x, since length is three times the width. The perimeter would be length + length + width + width. Since the perimeter is 48, we could say that:

x + x + 3x + 3x = 48

Which simplifies to 8x=48

If you divide by 8 on both sides, you get

X=6. Then you Can plug 6 back into your x width and 3x length.

(See attached image) hope this helped!

Hello!

Let's set up some variables:

Let's consider the relationship between the length and the width:

              \(\hookrightarrow L=3W\)

The perimeter of the rectangle is equal to 48 and 2W + 2L

  \(\hookrightarrow 2L + 2W = 48\)

Let's replace the 'L' in terms of 'W' and solve:

    \(2(3W) + 2W = 48\\6W + 2W=48\\8W = 48\\W = 6\)

Since L = 3W

  \(\hookrightarrow L = 3W = 3*6 = 18\)

Answer:

Hope that helps!

Answer:

it needed your to focus on school work , homework and work hard to make yourself feel ready

Answer:

slope: 1/4

x-intercept: (-20,0)

y-intercept: (0,5)

Step-by-step explanation:

hope that helps

Answer:

60>x>25

Step-by-step explanation:

Answer:

http://www.1728.org/radians.htm

The area of a sector = (central angle /360°) * PI * radius^2

area = (135 / 360) * 3.14159265 * 1 * 1

area = .375 * 3.14159265 * 1

area = 1.17809724 square inches

Step-by-step explanation:

To find the distance the softball would travel from third base to first base, we need to calculate the diagonal distance of the square field.

Since the softball diamond is a square with 30-foot sides, the diagonal distance can be found using the Pythagorean theorem: Diagonal distance = √(Side length^2 + Side length^2). Diagonal distance = √(30 ft^2 + 30 ft^2) ≈ √(1800) ≈ 42.4 ft. Therefore, the softball would travel approximately 42.4 feet from third base to first base.

A softball doom and is a square with 30 foot sides and bases at each corner. Rounding to the nearest tenth of a foot, the distance would be 42.4 feet.

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Answer:

im sorry what?

Step-by-step explanation:

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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Answer:

f(6) = 23

Step-by-step explanation:

-7, -1, 5, 11 is a combination in which there is a pattern of 6 adding on.

f(6) means that what would the 6th # be in terms of using this pattern.

Since we have 4 numbers already you would add 12 because 2 * 6 = 12

thus f(6) = 23