What is the largest number of sections you can get if you draw 4 straight lines through a circle?

As per the mentioned informations, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a body-centered cubic (BCC) crystal

In a body-centered cubic (BCC) crystal, there are 12 slip systems of the {110} type. Each of these slip systems is associated with a unique slip plane.

To understand why there are 12 slip systems, consider that the {110} plane has two perpendicular <111> directions, which are the directions of maximum atomic density in a BCC crystal. Each of these <111> directions can be associated with four equivalent {110} slip planes, which intersect at a line that lies along the <111> direction.

Therefore, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a BCC metal.

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In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force

Percentages are fundamentally fractions with 100 as the denominator. To show that a number is a percentage, the percent symbol (%) is placed next to it. For instance, if you answered 45 out of 100 questions on a test accurately (45/100), you would have gotten a 45% mark.

According to the given information

In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force compared with 75.5 percent of mothers whose youngest child was age 6 to 17.

In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force

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Answer:

3 629,84

Step-by-step explanation:

4Xr^2

4(3.14)×17^2

Answer:

3629.84 yd.

Step-by-step explanation:

The radius is 17.

Using the formula, 4πr², we can plug-in the unknown value(s).

'π' means pi; 'r' means radius.

4π17² = 3629.84.

Therefore, the surface area of this sphere is 3629.84 yd.

The value of the definite integral of f(x) over the interval [10, 12] is approximately 1.899.

To integrate f(x) = 1² - √x over the interval [10, 12], we can use the definite integral formula:

∫[a,b] f(x) dx = [F(b) - F(a)]

where;

First, let's find the antiderivative of f(x):

∫(1² - √x) dx = ∫1 dx - ∫√x dx

= \(x - \frac{2}{3} x^{3/2} + C\)

where;

Now, we can evaluate the definite integral over [10, 12]:

[F(12) - F(10)] = [(12 - (2/3)(12)^(3/2)) - (10 - (2/3)(10)^(3/2))]

= [12 - (2/3)(12)^(3/2) - 10 + (2/3)(10)^(3/2)]

≈ 1.899

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The complete question is below:

integrate f(x) = 1² - √x, over the interval [10, 12].

To determine the difference in the area between the round and rectangular pan, we need to calculate the area of each pan and compare them. Here are the main steps to solve the problem:


1. Calculate the area of the round pan: A = πr^2
2. Calculate the area of the rectangular pan: A = l × w
3. Find the difference between the two areas.
4. Compare the calculated difference with the given options.
1. For the round pan, use the formula for the area of a circle, A = πr^2, where r is the radius.
2. For the rectangular pan, use the formula for the area of a rectangle, A = l × w, where l is the length and w is the width.
3. Subtract the area of the rectangular pan from the area of the round pan to find the difference.
4. Compare the difference to the provided options (A, B, C, and D) to find the correct answer.

Summary:
First, calculate the area of both pans, and then find the difference between the areas. Finally, compare this difference with the given options to choose the correct answer. Without the actual dimensions of the pans, I cannot provide a specific answer. However, you can follow the steps above to find the solution once you have the dimensions.

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Answer:

standard to vertex form : s*v

In a regular algebra class, completing the square is a very useful tool or method to convert the quadratic equation of the form \(y = a {x^2} + bx + c y = ax2 + bx + c\) also known as the “standard form”, into the form \(y = a [ (x - h)^2] + k y = a(x - h)2 + k\) which is known as the vertex form.

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.

Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.

After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:

P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)

P(tails | biased coin) = 3/5 (given)

P(biased coin) = 0.1 (given)

P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)

= 1/2 * 0.9 + 3/5 * 0.1

= 0.55

Therefore,

P(biased coin | tails) = (3/5 * 0.1) / 0.55

= 0.109 (approximately)

Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.

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Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.

(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?

Answer:

1/2 a inch was this helpful

The vertical velocity of the string at the origin at time t would be zero, as the origin is a fixed point.

The origin is a fixed point, so it does not move. This means that the vertical velocity of the string at the origin at time t would be zero.

The origin of the string is a fixed point, meaning that it does not move. This implies that the vertical velocity of the string at the origin at time t would be zero, as the origin does not move or change its position. Since the origin is a fixed point, the vertical velocity of the string at the origin at time t would remain constant, and would be equal to zero. Thus, the vertical velocity of the string at the origin at time t would be zero.

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The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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Answer:

In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable. If the variables have other names, yet do have a dependent relationship, the independent variable is plotted along the horizontal axis

:)

Answer:

This should be considered a linear substitution because you can substitute this equation into y in another linear equation to find the answer or the solution to the linear equation

Step-by-step explanation:

The required inequality to show how many refrigerators and how many pianos the truck could carry is  300x + 425y ≤ 7300.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have,

A truck that can carry no more than 7300 lb is being used to transport refrigerators and upright pianos.

Let x be the number of refrigerators in the truck and y be the number of pianos in the truck.

Then

300x + 425y = 7300

At x = 11 and y = 9

300(11) + 425(9)

= 7125 ib

So, the truck will not overload.

Inequality will we

300x + 425y ≤ 7300

Thus, required inequality is 300x + 425y ≤ 7300.

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Answer:

1&0

Step-by-step explanation:

Enter a value for side 1 in metres with optional centimetres.

Enter a value for side 2 in metres with optional centimetres.

Click associated Get Results button.

Square metres (m2) and centimetres (cm2) remainder is shown.

Multiple calculations can be placed in the textbox below by pressing Move Results.

Multiple calculations total area is shown in the Grand Total Square Metres text box.

Answer:

a)-3x+2+2x=5x+2-6x

Step-by-step explanation:

Have a great day :)

Answer:

94 pence

Step-by-step explanation:

128=20

divide both by 128, so

1 = 0.15625

now times both by 6

6 = 0.9375

£0.94 (rounded)

Answer:

We just have to do 15 ÷ 15/4 = 15 * 4/15 = 4.

 The equation (4/7) * (7/4) = 1 demonstrates the multiplicative identity property, which states that multiplying any real number by 1 results in the original number.

The multiplicative identity property is a fundamental property of multiplication. It states that for any real number a, the product of a and 1 is equal to a. In the given equation, (4/7) * (7/4) = 1, the product of the two fractions simplifies to 1.
To understand why this equation illustrates the multiplicative identity property, we can evaluate it step by step. By multiplying the numerators and denominators, we have (4 * 7) / (7 * 4) = 28 / 28 = 1. We can see that the product of the fractions on the left side equals 1, which aligns with the multiplicative identity property.
This demonstrates that when we multiply (4/7) by (7/4), the result is 1. This illustrates the multiplicative identity property, as the product preserves the value of 1 and showcases how multiplying any real number by 1 does not change its value.

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Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

Answer:

it takes 10 ones to make a ten.

Answer:

x+74=135

x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)

\(\frac{2}{x}\)

\(\frac{x}{2}\)

\(\frac{4x^4}{y^3}\)

a. 2x^-3 • 4x^2

To solve this using only positive exponents, follow these steps:

i. Rewrite the expression in a clearer form

2x⁻³ . 4x²

ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.

In our case, the first term has a negative exponent and it is at the numerator. We therefore move it to the denominator and change the negative exponent to  positive as follows;

\(\frac{1}{2x^3} . 4x^2\)

iii. We then solve the result as follows;

\(\frac{1}{2x^3} . 4x^2\) = \(\frac{2}{x}\)

Therefore, 2x⁻³ . 4x² = \(\frac{2}{x}\)

b. 2x^4 • 4x^-3

i. Rewrite as follows;

2x⁴ . 4x⁻³

ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.

\(2x^4 . \frac{1}{4x^3}\)

iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;

\(\frac{x}{2}\)

Therefore, 2x⁴ . 4x⁻³ = \(\frac{x}{2}\)

c. 2x^3y^-3 • 2x

i. Rewrite as follows;

2x³y⁻³ . 2x

ii. Change position of terms with negative exponents;

\(2x^3.\frac{1}{y^3} .2x\)

iii. Now solve;

\(\frac{4x^4}{y^3}\)

Therefore, 2x³y⁻³ . 2x = \(\frac{4x^4}{y^3}\)

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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