g a gold (au) macro scale sample has a work function of 5.1 ev. to what size should the sample be milled to increase its work function by 2 %? assume that the sample is milled into nano-spheres and give the size in terms of radius.nanoparticles

Answer:

The sum of their ages in 6 years time is (2x+20) years.

Step-by-step explanation:

Given that,

Ethen is ‘x’ years old.

Raj is 8 years older than Ethen.

Raj's age = (x+8) years

We need to find the sum of their in 6 years.

After 6 years,

Ethen's age = (x+6) years

Raj's age = (x+8)+6

= (x+14) years

Sum of ages = (x+6) + (x+14)

= 2x+20

Hence, the required answer is (2x+20) years.

The maximum sustainable number of black bears for the 400-square mile habitat is 600 bears. Using a recursive rule, the population growth can be described as P(n) = P(n-1) + 0.8 * P(n-1). In approximately 7 years, the population of bears in the habitat will reach 500.

To ensure the well-being of the black bear population, the maximum sustainable number of bears within the 400-square mile habitat is determined to be 600 bears, based on a population density limit of 1.5 bears/square mile.

To illustrate the restricted growth in the population of black bears, a recursive rule is used. The recursive rule, P(n) = P(n-1) + 0.8 * P(n-1), states that the population in year n is equal to the population in the previous year (n-1) plus 80% of the population in the previous year.

By applying the recursive rule, a table is constructed to show the yearly population of black bears. Starting with an initial population of 10 bears, the population grows gradually each year according to the rule. Using this table, it can be determined that the population of bears in the habitat will reach 500 in approximately 7 years. This is found by calculating the population growth until it exceeds 500, at which point it takes roughly 7 years to reach that threshold.

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Using probability, we can find probability of the random variable, x falling in the shaded region as to be 5/8.

Probability is the ratio of favourable outcomes to all other potential outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.

Positive Outcomes/Total Results = x/n = Probability(Event)

Let's look at a simple example to better understand probability. Imagine that we need to predict whether it will rain or not. The right response to this question is "Yes" or "No." Whether it rains or not is uncertain. Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.

Here in the question,

Total region = 8.

Shaded region = 5

So, probability of falling in the shaded region = 5/8

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The base area of the pyramid is 5 units squared.

The pyramid has a volume of 20 cubic units and the height of the pyramid is 4 units.

Therefore, the area of the base can be calculated as follows:

Hence,

volume of the pyramid = base area × height of the prism

20 = base area × 4

Therefore,

base area of the pyramid = 20 / 4

base area of the pyramid = 5 units squared.

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The total area of the glass used in making the rectangular prism-shaped aquarium is 60 square feet.

The rectangular crystal formed aquarium has a base area of 6 feet by 2.5 feet, which is equivalent to 15 square feet. The level of the aquarium is 4 feet. To compute the complete region of the glass utilized in making the aquarium, you really want to duplicate the base region by the level, which is 15 x 4 = 60 square feet. This implies that 60 square feet of glass were utilized in making the aquarium. The glass some portion of the aquarium incorporates the four sides and the top, while the base is normally made of an alternate material, like acrylic.

The foundation of the rectangular crystal formed aquarium is 6 feet by 2.5 feet, which gives an all out area of 15 square feet (6 x 2.5). The level of the aquarium is 4 feet. Hence, the absolute region of the glass utilized in creating the aquarium can be determined by duplicating the base region by the level: 15 x 4 = 60 square feet.

The glass a piece of the aquarium would be the four sides and the top. The base would ordinarily be made of another material, like acrylic.

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Answer:

\(\frac{2}{7}+\sqrt{121}\)

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form \(\frac{p}{q}\) where p and q are integers and \(q\neq 0\) is said to be a rational number.

Sum of a rational and irrational number is irrational.

In \(\frac{5}{9}+\sqrt{18}\), \(\frac{5}{9}\) is a rational number and \(\sqrt{18}\) is an irrational number

So, \(\frac{5}{9}+\sqrt{18}\) is not a rational number.

In \(\pi+\sqrt{16}=\pi+4\), \(\pi\) is an irrational number and 4 is a rational number

So, \(\pi+\sqrt{16}\)  is not a rational number.

In \(\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}\), \(\frac{79}{7}\) is a rational number

So, \(\frac{2}{7}+\sqrt{121}\)  is a rational number

In \(\frac{3}{10}+\sqrt{11}\), \(\frac{3}{10}\) is a rational number and \(\sqrt{11}\) is an irrational number

So, \(\frac{3}{10}+\sqrt{11}\) is not a rational number.

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

A line graph is best suited for showing changes in statistics over time or space.

Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.

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Answer:

Step-by-step explanation:

So since the question is no completed. The only way you can answer this is by simplifying it which is not the same as the value of x. It would be 3x+8

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

Using synthetic division to perform the division x^3 + 4x^2 + 8x + 5 / x + 1, the answer is x^2 + 3x + 5.

To use synthetic division to perform the division of x^3 + 4x^2 + 8x + 5 / x + 1, we first set up the division in the following way:

-1 | 1 4 8 5

We then bring down the first coefficient (1) and multiply it by the divisor (-1) to get -1. We add -1 to the second coefficient (4) to get 3, and repeat the process until we reach the end of the coefficients:

-1 | 1 4 8 5
  -1 -3 -5
  -----------
   1 3 5 0

The resulting coefficients, from left to right, are 1, 3, 5, 0. This means that the quotient is x^2 + 3x + 5, and the remainder is 0. Therefore, we can write the original division as:

x^3 + 4x^2 + 8x + 5 = (x + 1)(x^2 + 3x + 5) + 0

So the answer is x^2 + 3x + 5.

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Answer:

The constant rate of change would be considered slope. It would define the rate of change for the entire line, meaning it would show the constant change for infinity. The average rate of change would be the change between 2 data/set points. It would not be applied to infinite numbers, but only given points and numbers.

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \(\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)\)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = \(C(n,k)\) not nk

Answer:

True

Step-by-step explanation:

apec

Answer:

The answer to that question is 8

Step-by-step explanation:

2/3 times 12 = 8

Answer: The answer is A. 2.

Answer:    your answer is A

A player can expect to win on average is 3.87 spots

The middle value in a set of numbers is the average, which is calculated by dividing the total of all the values by the number of values.

Given that

The wheel has 10 spots labeled = $1

14 spots labelled = $2

9 spots labelled = $10

Do we have to find a win on average =?

Total spots = 10 + 14 + 9 = 33

Expected to win average = (1 x 10/33) + (2 x 14/33) + (10 x 9/33)

= 10/33 + 28/33 + 90/33

= 128 / 33

= 3.87

Therefore a player expects to win on average = 3.87 spots

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Answer:

  3/4

Step-by-step explanation:

The relationship between time, speed, and distance can be used together with the travel time relations to find the desired ratio.

__

Let H represent the distance from Yan's location to home. Let S represent the distance to the stadium, and let w represent Yan's walking speed.

The time required for Yan to walk home is ...

  time = distance/speed = H/w

The time required for Yan to walk to the stadium is ...

  time = S/w

The time required for Yan to ride his bike from home to the stadium is ...

  time = (H +S)/(7w) . . . . . his riding speed is 7 times his walking speed.

In order for the travel times to be equal, we must have ...

  time to walk home + time to bike to stadium = time to walk to stadium

  H/w + (H +S)/(7w) = S/w

__

Multiplying by 7w gives ...

  7H +(H +S) = 7S

  8H = 6S . . . . . . . . . subtract S

  H/S = 6/8 = 3/4 . . . . divide by 8S

The ratio of Yan's distance from home to his distance from the stadium is 3/4.

_____

Additional comment

Another way to think about this is ...

The stadium is farther away than home by a distance that Yan can walk in the same time he can bike the entire distance from home to the stadium. That is, the difference in distances must be 1/7 of the total distance. Now, we have a "sum and difference" problem: S +H = 7, S -H = 1. The solution is S = (7+1)/2 = 4, H = (7-1)/2 = 3. H/S = 3/4.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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a. The graph of the quadratic equation opens upward.

b. The quadratic equation has two real roots.

c. The real roots of the quadratic equation are (5 + √13)/6 and (5 - √13)/6.

To solve the inequality 3x^2 - 5x + 1 > 0, we need to determine the nature of the quadratic equation and its roots.

a. The graph of the quadratic equation y = 3x^2 - 5x + 1 opens upward because the coefficient of x^2 is positive (3 > 0).

b. To find the number of real roots, we can look at the discriminant (D) of the quadratic equation. The discriminant is given by D = b^2 - 4ac, where a, b, and c are the coefficients of x^2, x, and the constant term, respectively. In this case, a = 3, b = -5, and c = 1. Substituting these values into the formula, we have:

D = (-5)^2 - 4(3)(1)

D = 25 - 12

D = 13

Since the discriminant (D) is positive (D > 0), the quadratic equation has two distinct real roots.

c. To find the real roots of the quadratic equation, we can use the quadratic formula. The quadratic formula states that if a quadratic equation is of the form ax^2 + bx + c = 0, the roots can be found using the formula:

x = (-b ± √(b^2 - 4ac))/(2a)

In this case, the quadratic equation is 3x^2 - 5x + 1 = 0. Substituting the values into the quadratic formula, we have:

x = (-(-5) ± √((-5)^2 - 4(3)(1)))/(2(3))

x = (5 ± √(25 - 12))/(6)

x = (5 ± √(13))/6

Thus, the real roots of the quadratic equation 3x^2 - 5x + 1 = 0 are (5 + √13)/6 and (5 - √13)/6.

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Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.

ABM + MBC = ABC

Let's plug our values into the variables.

ABM + 150 = 171

Let's solve for ABM. Subtract 150 from both sides.

ABM = 21

Answer:

∠ ABM = 21°

Step-by-step explanation:

∠ ABM + ∠ MBC = ∠ ABC , that is

∠ ABM + 150° = 171° ( subtract 150° from both sides )

∠ ABM = 21°

Answer:

A) added to both sides of the equation

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Combine like terms on both sides of the equation and simplify, isolating the variable on to one side of the equation:

6x + 18 = 90

6x = 72

x = 12

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

Jamal washed 10 windows

Step-by-step explanation:

The rate that Jamal washes windows at is $8/1 window

8/1=80/10

I hope this helped

1) Since this is a series, a geometric we can expand this, note that the common ratio is in the parentheses.

Note We plugged into k the number of the term from 1 to 3.

2) So we can solve it this way:

Thus the answer is 21/2

Answer:

The first answer is M. -10x - 1 + 35x - 1 + 15x + 1

maybe

The cat population in Catonsville in 2007 was 200. The answer is option B.

Population refers to the total number of people, animals, or objects in a particular group or area. It is the entire group or collection of individuals, things, or events that we are interested in studying or describing.

We can use the given equation to find the cat population at any given time in years since the beginning of 2010. However, to find the population in 2007, we need to make a conversion from years since the beginning of 2010 to years since the beginning of 2007.

From the beginning of 2007 to the beginning of 2010, there are 3 years, so if we subtract 3 from the number of years since the beginning of 2010, we will get the number of years since the beginning of 2007. Therefore, we need to substitute t = -3 into the given equation and solve for p:

\(p = 1600(2)^t\\p = 1600(2)^(-3)\\p = 1600(1/8)\\p = 200\)

Therefore, the cat population in Catonsville in 2007 was 200. The answer is option B.

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Answer:75.708L

Step-by-step explanation:

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

Answer:

Y= 2/4x + -3

Step-by-step explanation: