how many different ways four kings can be next to each other and four queens can be next to each other

Answer:

B. Apples cost $2.50/pound

Step-by-step explanation:

B would be a multiplicative relationship because you would multiply the number of pounds by 2.50

The resulting equation is (x-2) (x+2)-1(3x) = (x-3) (x-2).

The lowest integer that unites all of the fractions in a given collection is known as the least common denominator (LCD).

Given that,

The equation x+2/3x - 1/x-2 = x-3/3x is being multiplied by the least common denominator (LCD)

So, further solving this equation,

x+2 / 3x - 1/x-2 = x-3/3x

Here, the least common denominator (LCD) is (3x)(x-2). so we multiply the whole equation by the least common denominator (LCD).

(3x)(x-2) (x+2/3x - 1/(x-2) = x-3 / 3x)

We multiply each term by the least common denominator (LCD).

(3x)(x-2) (x+2/3x) - (3x)(x-2)(1/(x-2)) = (3x)(x-2)(x-3 / 3x)

Thus, we get (x-2) (x+2)-1(3x) = (x-3) (x-2).

Therefore,The resulting equation is (x-2) (x+2)-1(3x) = (x-3) (x-2).

To learn more about LCD visit: brainly.com/question/29267309

#SPJ4

Answer:

D

Step-by-step explanation: answer is d

Formula data type is used to determine different values based on a variety of fields in the existing table.

It also helps to create a pattern that takes input from all the fields and gives you the final value. Other fields include constants or functions and by using formula data type, you can remove the need to repeatedly enter the same information again and again. It also eliminated the margin of error that could occur during manual entry in the entirety of your work. Formula data type is used to help solve a combination of different equations that have different fields and/or equations.

Learn more about formula data type here:

https://brainly.com/question/19755063

#SPJ4

The subjects would be randomized at random to receive the new medication, fish oil, or a placebo. The effectiveness of the new variance medicine would next be evaluated by comparing the outcomes of the various therapies.

The test would be conducted using a completely randomized experiment. This means that the 300 volunteers would be randomly assigned to the three different treatments: the new drug, fish oil, or the placebo. This ensures that any differences between the groups can be attributed to the treatments, and not any other factor. The volunteers would be monitored for a period of time, and the results of the treatments would be compared to determine the effectiveness of the new drug. This could be done through measuring changes in cholesterol and blood pressure levels, as well as any side effects of the treatments. In addition, the volunteers’ health and dietary habits should be monitored to ensure that any differences between the treatments are not caused by any other factors.

Learn more about variance here

https://brainly.com/question/13708253

#SPJ4

Answer:

1. To find the gradient of a line, we can use the slope-intercept form of the equation: y = mx + b, where m is the gradient and b is the y-intercept.

a) To find the gradient of (x+7)/(y-2) = 0, we can first rewrite the equation as y = (2x+14)/(x+7). To find the slope, we can take the derivative of y with respect to x. We get the slope or the gradient of the line as m = 2/(x+7).

b) To find the gradient of the line through (p,5) and (6,2p), we can use the point-slope form of the equation: y - y1 = m(x - x1). We can substitute the coordinates of the two points and solve for m.

y - 5 = m(x - p)

2p - 5 = m(6 - p)

2p - 5 = 6m - mp

mp + 6m = 2p + 5

m(p+6) = 2p + 5

m = (2p+5)/(p+6)

2. To find the equation of a line, we can use the slope-intercept form of the equation: y = mx + b, where m is the gradient and b is the y-intercept.

a) To find the equation of the line with a gradient of 3, passing through (0,5), we can substitute the values into the slope-intercept form.

y = 3x + b

5 = 3(0) + b

b = 5

The equation of the line is y = 3x + 5

3. To find the value of p, if the gradient of the line joining (-1,p) and (p, 4) is 2/3, we can use the point-slope form of the equation: y - y1 = m(x - x1). We can substitute the coordinates of the two points and the gradient, and solve for p.

y - p = (2/3)(x - (-1))

4 - p = (2/3)(p - (-1))

4 - p = (2/3)p + (2/3)

(2/3)p - 4 + p = (2/3)

p = 6

Final Answer: The value of p is 6.

Answer:

8

Step-by-step explanation:

Each of the small squares has an area of 4 square units

so its length is 2 because 2*2 =4

so 4 small squares = 8 each side

Answer:

The transformation described is a horizontal translation of 1 unit to the left and a vertical translation of 4 units up. The transformation moves every point on the x-axis one unit to the left and every point on the y-axis four units up.

Step-by-step explanation:

It can also be thought of as a transformation that shifts the entire figure one unit to the left and four units up.

3 ice cream machines will make a total of 480 gallons for the same length of time and 4 ice cream machines will make a total of 640 gallons for the same length of time.

For the quantity 3 ice cream machines will make.

2 ice cream machines produce a total of 320 gallons in a certain amount of time.

If 2 ice cream machines can make a total of 320 gallons. Then,

3 ice cream machines will produce a total of x gallons in the same amount of time

x = (320 × 3)/2

x = 480 gallons

Hence, 3 ice cream machines will produce a total of 480 gallons.

For the quantity 4 ice cream machines will make.

If 2 ice cream machines can make a total of 320 gallons. Then,

4 ice cream machines will produce a total of y gallons in the same amount of time

y = (320 × 4)/2

y = 640 gallons

Hence, 4 ice cream machines will produce a total of 640 gallons.

--The given question is incomplete, the complete question is

"Two ice cream machines make a total of 320 gallons in a certain amount of time. Working together for the same length of time, how many gallons of ice cream can each number of machines make?

3 ice cream machines

4 ice cream machines"--

To know more about gallons, here

https://brainly.com/question/19638640

#SPJ4

Answer:

1. 46/35 or 1 11/35

2. 5/4 or 1 1/4

3. 5/4 or 1 1/4

4. 7/3 or 2 1/3

Step-by-step explanation:

In circle A,  angle RAS is 74 degrees and  angle RTB is 28 degrees. The measure of minor arc BR is 81 degrees.

The figure is in the attached picture.

Notice that:

AS = AR = radii of the circle.

Hence, triangle SAR is an isosceles triangle, and ∠ASR = ∠ARS.

The sum of angles in a triangle is  180°.

Therefore,

∠ARS +  ∠ASR+ 74° =  180°

Since ∠ASR = ∠ARS,

2∠ARS + 74° =  180°

2∠ARS  = 106°

∠ARS  =  53°

and

∠ASR = ∠ARS = 53°

Angle in a straight line:

∠AST  + ∠ASR =  180°

∠AST   =  180° - ∠ASR =  180° - 53°  =  127°

Refer to triangle SAT:

∠SAT  =  180° - 28° - 127°  =  25°

The measure of minor arc BR = ∠RAB

∠RAB  =  180° - 74° - 25°  

∠RAB  =  81°

The picture in your question is missing, but most likely it was in the attached picture.

Learn more about arc angle here:

https://brainly.com/question/29046537

#SPJ4

Answer:

26 - 11 = 15

Step-by-step explanation:

Answer:

A. Yes, opposite sides are congruent.

Step-by-step explanation:

For B, you can't necessarily tell if they are right angles because there is nothing indicating that it is. For C, just because angle measures aren't given doesn't mean that they aren't congruent. For D, sure it could be a rhombus although it doesn't look like it but rhombuses' are parallelograms.

Answer: 42.5

Step-by-step explanation:

8 multipled by 42.5 is 340. A strategy i use is multiply 8 by 5 or 10, for example 8 times 5 is 40, so i know that 8 times 50 is 400, that tells you the answer you need is just a little below 50

The coefficient of x⁷ in the given expression is 16.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given is the expression [x³ + (4 / x²)]⁴.

[x³ + (4 / x²)]⁴ =  (x³ + 4x⁻²)⁴

                      = (x³ + 4x⁻²)² (x³ + 4x⁻²)²

                      = (x⁶ + 8x + 16x⁻⁴) (x⁶ + 8x + 16x⁻⁴)  

                      = x¹² + 8x⁷ + 16x² + 8x⁷ + 64x² + 128x⁻³ + 16x² + 128x⁻³ +

                         256x⁻⁸

Rearranging with like terms, we get,

                      = x¹² + 16x⁷ + 96x² + 256x⁻³ + 256x⁻⁸

Hence the coefficient of x⁷ is 16.

Learn more about Expressions here :

https://brainly.com/question/14083225

#SPJ1

If the mean of a set of data is 4.11 and its standard deviation is 3.03. the z score for a value of 10.86 is: 2.23.

Using this formula to find the z-score

z-score  =  Value - Mean / Standard deviation

Where:

Value = 10.86

Mean = 4.11

Standard deviation = 3.03

Let plug in the formula

z-score  =  10. 86 - 4.11 / 3.03

z-score  =  6.75 /3.03

z-score = 2.227

z- score = 2.23

Therefore the z-score is 2.23.

Learn more about z-score here:https://brainly.com/question/25638875

#SPJ1

An integer that can be inserted on the blank line in the list from the given options is 0.

Therefore the answer is c) 0.

The list shows numbers in order from least to greatest, that is ascending order -15, -3 4/5, -1.5, ____, 2.3, 5 2/3

The integer that can be inserted on the blank line in the list is c. 0, because it is greater than -1.5 and less than 2.3 and it is an integer.

-2 is less than -1.5. So they cannot be the answer. -1 1/3 is equal to -4/3 and 1.2 is greater than -1.5 and less than 2.3, but they are not integers.  

To know more on ascending order

https://brainly.com/question/20681445

#SPJ4

The profit per foot of the satin ribbon that the craft store buys and sells is $0.80.

The profit generated by the craft store per foot is determined by reducing the transactions to their unit cost and price.

The profit per unit becomes the difference between the unit selling price and the unit cost.

In other words, the profit per unit is the unit rate (per-unit profit) or ratio obtained as a difference between two unit parameters.

The cost of buying 150 feet of satin ribbon = $13.50

The unit cost per foot = $0.09 ($13.50/150)

The sales price for 5 feet = $0.80

The unit selling price per foot = $0.16 ($0.80/5)

The profit per unit = $0.80 ($0.16 - $0.80)

Profit percentage = 100% ($0.80/$0.80 x 100)

Thus, we can conclude that the craft store generates a 100% profit or $0.80 per foot.

Learn more about the unit rate at https://brainly.com/question/19493296

#SPJ1

3% is the percentage rate of increase or decrease.

What does exponential decay mean?

A process known as exponential decay describes how a quantity depletes over time, with the rate of depletion become proportionately slower as the quantity shrinks. Finding the exponential drop—a rapid reduction over time—is made easier by the exponential decay formula.        

                                The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay. The formula for f(x) is f(x) = a (1 - r)x.

The formula for exponential decay is y=a(1-r)x.

r is the decay rate, expressed as a decimal.

In this case, r = .03 which represents 3%

Learn more about exponential decay

brainly.com/question/2193799

#SPJ1

The cost of putting sod on the gard, given the area of the trapezoid backyard of the new home, is $ 864 . 40

The backyard of the new home is said to be shaped like a trapezoid which means that the cost of putting sod on the gard can be found by checking for the area of the trapezoid.

The area of a trapezoid can be found by the formula :

= (( Base A + Base B ) x height ) / 2

= ( ( 73 + 111 ) x 40 ) / 2

= 3, 680 square feet

The cost of putting sod on the gard is therefore:

= Area of the backyard x cost per square foot of sod

= 3, 680 x 0. 23

= $ 864 . 40

Find out more on cost at https://brainly.com/question/3320587

#SPJ1

The equation that represents this word sentence is n-7 = 9

The value of n = 16

An algebraic expression can be defined as an expression that is composed of variables, terms, coefficients, constants and factors.

They are also made up of mathematical or sometimes called arithmetic operations, such as;

From the information given, we have that;

9 is the difference of a number n and 7.

This is represented as;

n - 7 = 9

Now, collect like terms

n = 9 + 7

Add the values

n = 16

Thus, the value is 16

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

The area of the trapezium is 36.3 unit squared.

The figure above is a trapezium. Therefore, the area of a trapezium can be represented as follows:

Hence,

area of a trapezium = 1 / 2 (a + b)h

where

Therefore,

area of a trapezium = 1 / 2 (a + b)h

where

Using Pythagoras's theorem,

c² = a² + b²

where

h² = 6² - 1.5²

h²= 36 - 2.25

h = √33.75

h = 5.80947501931

h = 5.81

Therefore,

area of the trapezium = 1 / 2 (4 + 8.5)5.8

area of the trapezium = 1 / 2 (12.5)5.8

area of the trapezium = 72.5 / 2

area of the trapezium = 36.3 units²

learn more on area here:https://brainly.com/question/293202

#SPJ1

The probability of getting exactly 14 heads by flipping a fair coin 20 times is 0.03696.

The number of times a fair coin is flipped = 20

The outcomes for flipping the coin once = 2

Therefore, the outcomes for flipping the coin 20 times = (2) ^ 20

Number of heads needed = 14

The number of ways of getting exactly 14 heads = 20C14

20C14 is the 20! / (14! (20-14)! = 38760

Probability of getting an event = possible outcome / total outcomes

Thus, the probability of getting exactly 14 heads by flipping a fair coin 20 times = (20C14) / (2 ^ 20) ≈ 0.03696

To know more about probability:

https://brainly.com/question/11756984

#SPJ4

Answer: x<4

Step-by-step explanation:

19>15+x

4>x

x<4 is the answer

Answer:

Since 15+x is less than 19. 15+x cannot equal to or greater than 19. If x is greater or equal to 4, the answer will be equal to or greater than 19 which is not true for the equation shown above.

So x is less than 4.

Yes, this results in a random sampling because every day the woodworker produces two chairs, and the company that buys the chairs randomly selects the days on which to check the chairs made that day.

This means that each item (each chair) has an equal chance of being selected, and each group of n items (in this case, two chairs) also has an equal chance of being selected. The probability of an item being selected can be calculated using the formula P(A) = n/N, where n is the number of items in the sample and N is the total number of items in the population. In this case, the probability of an item being selected is 2/2 = 1, and the probability of a group of two items being selected is 2/2 = 1. This shows that each item and each group of items has an equal chance of being selected, which means that this is a random sampling.

Learn more about random sampling here:

https://brainly.com/question/29852583

#SPJ4

Answer:

[tex]f(g(4) = \boxed{\bold{0}}[/tex]

[tex]g(f(3)) = \boxed{\bold{2}}[/tex]

[tex]f(f(5)) = \boxed{\bold{5}}[/tex]

[tex]g(g(1)) = \boxed{\bold{4}}[/tex]

Step-by-step explanation:

All the expressions are composite functions where the output of one function is fed as input to the other function to get the composite output

To explain better, I will use the specific values and the graphs of f(x) and g(x)

-----------------------------------------------------------------------------------------------------
f(g(4))

Let's take the first expression [tex]\displaystyle {f(g(4))}[/tex]. The innermost function, [tex]g(x)[/tex] is first evaluated at [tex]x = 4[/tex], then this value is used to find the value of the outer function [tex]f(x)[/tex]

To find the value of this expression

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

The other expressions can be evaluated using similar reasoning.
g(f(3))

First evaluate[tex]f(x) \:at\: x = 3 == > f(3) = 0 == > g(0) = 2[/tex]

Answer:  2

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

f(f(5))

This is a function which is a composite of itself
Find [tex]f(5) = 2 == > f(2) = 5[/tex]

Answer: 5

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

g(g(1))

[tex]g(1) = 5 == > g(5) = 4[/tex]

Answer: 4

Answer: 36x + 68

Step-by-step explanation:

Expanding it, you get:

36x + 72 - 4

= 36x + 68

The equation of the line would be y = 17/7x + 1.

What is the equation of the line?

The equation of a line is a mathematical expression that describes the position of a line in a coordinate plane. It typically takes the form of "y = mx + b", where "m" is the slope of the line and "b" is the y-intercept, the point where the line crosses the y-axis.

The whole question is:

Write an equation of the line passing through the point (8,7) that is perpendicular to the line  [tex]y + 7 = -\frac{7}{17}(x+8)[/tex]

To write the equation of a line that is perpendicular to a given line, we can use the slope of the given line and the point the new line passes through.

The slope of the line [tex]y + 7 = -\frac{7}{17}(x+8)[/tex] can be found by isolating y and then taking the derivative, which gives us: -7/17.

The slope of a line perpendicular to this line is the negative reciprocal of the given line's slope, which is 17/7.

We also know that the new line passes through the point (8,7). Using a point-slope form of a line which is (y-y1) = m(x-x1) where m is the slope, we can write the equation of the line as:

y - 7 = 17/7(x - 8)

So the equation of the line that passes through the point (8,7) and is perpendicular to the line [tex]y + 7 = -\frac{7}{17}(x+8)[/tex] is:

y = 17/7x + 1

Hence, the equation of the line would be y = 17/7x + 1.

To learn more about the equation of the line, visit:

https://brainly.com/question/18831322

#SPJ4

Use law of cosines to find angles A, B, and C. Angle A = X°, B = Y° and C = Z°.

What is triangle ?

A triangle is a polygon with three sides and three angles. The sum of the three angles in a triangle always equals 180 degrees. Triangles can be classified based on the length of their sides or the measure of their angles.

We can use the law of cosines to find the angles. The law of cosines states that for any triangle, the square of one side length is equal to the sum of the squares of the other two side lengths, minus twice the product of the other two side lengths multiplied by the cosine of the angle opposite the first side.

Let A, B, and C be the angles opposite the sides of length 114 meters, 70 meters, and 95 meters, respectively.

We can use the following equation to find angle A:

cos A = (70^2 + 95^2 - 114^2) / (2 * 70 * 95)

Once we have the value of cos A, we can use the inverse cosine function to find the angle A in degrees.

Similarly, we can use the same formula to find the angle B and C.

cos B = (114^2 + 95^2 - 70^2) / (2 * 114 * 95)

cos C = (114^2 + 70^2 - 95^2) / (2 * 114 * 70)

Use law of cosines to find angles A, B, and C. Angle A = X°, B = Y° and C = Z°.

To learn more about triangle visit : brainly.com/question/2773823

#SPJ4

The minimum monthly payment so that she avoids paying interest on the credit card is given as follows:

$150

The minimum monthly payment is obtained applying the proportions in the context of this problem.

The interest-free period is given as follows:

6 months, as long as the purchase has a value that is less than $1000.

(as stated in the problem).

The value of the TV is given as follows:

$900.

(as stated in the problem).

The minimum monthly payment is obtained with the division of the value of the TV by the length in months of the interest free period, as follows:

Minimum payment = 900/6

Minimum payment = $150.

(this is the proportion that is applied in this problem).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

On solving the provided question we can say that  Probability of  Red  * Second  Draw Probability of  Red  = [tex]3 / 10 * 2 / 9 = 6 / 90 = 1 / 15[/tex]

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.

Let the number of  red balls  = x    

[tex][x / 10] * [ (x - 1) / 9 ] = 1/15 \\x(x - 1) / 90 = 1/15 \\x ( x - 1) = 6 \\x^2 - x - 6 = 0 \\(x -3) ( x + 2) = 0 \\x = 3 or x = -2[/tex]

here are 3  red balls

Probability of  Red  * Second  Draw Probability of  Red  

[tex]3 / 10 * 2 / 9 = 6 / 90 = 1 / 15[/tex]

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4