Six identically shaped place mats, marked a, b, c, d, e and f, are piled neatly in a stack. how many arrangements are possible if a and b must touch each other?

Answers

Answer 1
6
1. A, b, c
2. A, b, d
3. A, b, e
4. C, a, b
5. D, a, b
6. E, a, b

Hope I helped!

Related Questions

Which of these is equal to the value of 9-(-5)?

Answers

Since the parenthesis essentially mean -1 multiplied by whatever is in parenthesis, and a negative number multiplied by a negative number is positive, we have 9+(-1)*(-5)=9+5=14

Which value is equivalent to ?

Answers

The answer is 64/49 First you multiply everything inside then you raise it to the powers so (64/49)^3*(343)^3*7^-9
Hey! The correct answer is 64 over 49. I have worked this out for you. :3 ~Nesabug

Please help! I am confused

Answers

I would say the 60 + 20 represents how the shirts cost the same amount. Then I would say the x either represents the cost before tax or how to find the cost of the shirts.


I hope this helps!
Good Luck!
The cost of jeans is represented by 60 since they only bought one pair and the 20x represents the cost of the shirts because we don't know how many shirts she bought and x represents how many shirts she bought. 

Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.

Answers

$596.65 x 12months = $7,159.80

Answer:

the correct answer is $17159.80

How to find where a function is discontinuous?

Answers

the discontinuous at the x-value for which the denominator was zero is removable, I hope this help

To ascertain points of discontinuity, evaluate where functions are undefined or have limits that do not exist, often due to division by zero or undefined behavior in their basic components. For example, f(x) = 1/ sin x is discontinuous where sin x equals zero.

To find out where a function is discontinuous, we must examine points where the function is not defined or its limit does not exist. For a function defined by building blocks of continuous functions, it will generally remain continuous except at points where it involves division by zero or at points where its simpler components are not continuous.

For example, the function f(x) = 1/ sin x can be seen as the composition of the functions g(x) = 1/x and h(x) = sin x. We know that for a sine function, namely h(x), it is continuous everywhere, but the function g(x) is discontinuous at 0. Hence, f(x) will be discontinuous at points where sin x = 0, which occur at integer multiples of π.

More generally, to check continuity, ask yourself these questions about the function:

Does the function cross zero or involve division by a variable that may be zero?Is the function defined for all values of its independent variables?Is the function graph a single unbroken curve without jumps?

If you answer 'no' to any of these, the function might be discontinuous at some points, and hence, it would also be nondifferentiable at those points.

martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.

Answers

hi!

Martin = m
Natalie = n

m + 2 = n - 3       m - n = -5
m +n = 29

Solving a system of equations:

m-n=-5
m+n=29

2m = 34
m = 17

So, n is 22

Hope this helps!

On the first play, the football team lost 6 yards. On the second play, the team lost 5yards. What was their total change in yards?

Answers

The total change in yards the team lost was 11

Evaluate A2 for A = -3.

Answers

If you are solving A^2 then the answer is 9.
Or If you are solving A•2 then the answer is -6.

Answer:  The required value of A² is 9.

Step-by-step explanation:  We are given the following value of a variable A :

[tex]A=-3.[/tex]

We are to find the value of [tex]A^2.[/tex]

To evaluate [tex]A^2,[/tex] we need to multiply A and A.

Therefore, the evaluation is as follows :

[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]

Thus, the required value of A² is 9.

What's 17= z- (-9) days

Answers

z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore 
17 = z - (-9)
is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8

So the answer is z = 8

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

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out


The calculated value of z in the equation 17 = z - (-9) is 8

How to determine the value of z in the equation

From the question, we have the following parameters that can be used in our computation:

17 = z - (-9)

When the bracket is evaluated, we have

17 = z + 9

So, we have

z = 17 - 9

Evaluate

z = 8

Hence, the value of z in the equation is 8

25900.1000 in scientific notation

Answers

259001 x 10^4 is the answer


 The number 25900.1000 in scientific notation = 25.9001 x 10^7

Change 88 feet per second to miles per hour

Answers

I'll help you out. In 1 mile there are 5,280 feet. There are 3,600 seconds in an hour. So your answer would be 60 miles per hour
This is one worth memorizing. 88 ft per second is EXACTLY 60 mi per hr.

A disc jockey has 20 songs to choose from and can only play 8 in the next half hour. how many different playlists are possible?

Answers

This problem is a combination problem since it did not indicate that there is a specified order of songs to be played. The type of combination problem is without repetition. Thus the working equation would be n!/r!(n-r)! wherein n is the total number of songs to choose from and r is the number of songs you can choose at a given time. The answer would be 125970. 

Answer: 125970

Step-by-step explanation:

The number of combinations of n things taken r at a time is given by :-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Similarly , the  number of combinations of 20 songs taken 8 at a time is given by :-

[tex]^{20}C_8=\dfrac{20!}{8!(20-8)!}\\\\=\dfrac{20\times19\times18\times17\times16\times15\times14\times13\times12!}{8\times7\times6\times5\times4\times3\times2\timews12!}\\\\=125970[/tex]

Hence, the number of different playlists are possible= 125970

The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.

Answers

Firstly, you'll want to form an equation:

a+b+c=d

To make it simpler, let's just say that 'a' is the largest integer

In that case, d-50=a

I could give you some convoluted equation to find your integers but honestly, checking and guessing is easier.

I just ran through a couple sets of numbers in my brain, although I'd suggest actually writing down your thought process.

These are the integers I got:

20, 30, and 50

Keep in mind, however, that there are multiple correct answers to this problem.

3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.

Answers

Company A offer
2,432×24(semimonthly)
=58,368 per year

Company B offer
2,390×26 (biweekly)
=62,140 per year

So company B pays a greater annual salary

Hope it helps!

What is v^4-1 simplified

Answers

The answer is:
(v-1)(v+1)(v^2+1)
[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\ v^4-1\implies v^4-1^4\implies (v^2)^2-(1^2)^2\implies \underline{(v^2-1^2)}(v^2+1^2) \\\\\\ \underline{(v-1)(v+1)}(v^2+1^2)[/tex]

Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.

Answers

Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
[tex] \frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859[/tex]

Answer: 7.7759 x 10⁻¹ times
Final answer:

Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.

Explanation:

The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.

Learn more about Neptune and Mercury's distances from the Sun here:

https://brainly.com/question/13693271

#SPJ11

If 60% of some number is equal to 264, what is the total number

Answers

Heres what I would do:

60/3=20
264/3=88

That way 88 would be 20%

Now you multiply everything by 5 to make it 100%

88x5=440

Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? x g(x) 3 1 6 2 9 3 (1 point) the function f(x) has a higher y-intercept. the function g(x) has a higher y-intercept. they both have the same y-intercept. the relationship between y-intercepts cannot be determined.

Answers

Answer: The function f(x) has a higher y-intercept
Your welcome :D 

Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?

Answers

[tex]\bf \begin{cases} 2y=8x+4\\ \qquad y=\cfrac{8x+4}{2}\\\\ \qquad y=\stackrel{slope}{4}x+2\\\\ y=\stackrel{slope}{-\cfrac{1}{4}}x \end{cases}[/tex]

now, looking at the first set, notice their slopes... are they the same? no.. ok, that means they're not parallel then.

are they perpendicular? well, only if their slopes are negative reciprocal.  let's check

[tex]\bf slope\implies 4\implies \cfrac{4}{1}\qquad negative\implies \cfrac{-4}{1}\qquad reciprocal\implies -\cfrac{1}{4}[/tex]

low and behold, the negative reciprocal of 4 is the slope of the second equation, so they ARE indeed perpendicular.

now, let's check the second set.

[tex]\bf \begin{cases} 2x-3y=12\\ \qquad 2x-12=3y\\\\ \qquad \cfrac{2x-12}{3}=y\\\\ \qquad \stackrel{slope}{\cfrac{2}{3}}x-4=y\\\\ y=\stackrel{slope}{2}x+5 \end{cases}[/tex]

notice their slopes, are they the same slopes? no, so they're not parallel then, are they negative reciprocal of each other?  well, negative reciprocal of 2 is -1/2, so no, they're not, so they're not perpendicular.

well, then, but the slopes differ, that means, they do intersect somewheres, not at a right-angle, but they do, so they're only intersecting.

btw, a coincident set, will be when both are exactly the same equation, none of them on either set are.

What does 5×(-3)(-2) egual in algebra.

Answers

30
(-3)*(-2)=6
6*5=30
Double negatives makes a positive
answer is equal to 30

convert 170 kg/m^3 to g/cm^3.

Answers

keeping in mind that there are 1000 grams in a KILOgram and that in 1 meter there are 100 cm, therefore in 1 m³, there are (100 cm)³, or 100³ cm³, then

[tex]\bf \cfrac{170~\underline{kg}}{\underline{m^3}}\cdot \cfrac{1000~g}{\underline{kg}}\cdot \cfrac{\underline{m^3}}{100^3~cm^3}\implies \cfrac{170\cdot 1000~g}{100^3~cm^3}\implies \cfrac{170\cdot 1000~g}{1000000~cm^3} \\\\\\ \cfrac{170\cdot 1~g}{1000~cm^3}\implies \cfrac{170~g}{1000~cm^3}\implies \cfrac{17~g}{100~cm^3}\implies 0.17\frac{g}{cm^3}[/tex]

Which property is NOT used when solving 15=2x-1

Answers

Final answer:

The associative property is not used when solving the given equation.

Explanation:

The property that is NOT used when solving the equation 15=2x-1 is the associative property.

The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.

Thus, the answer to the equation is:
15 = 2x - 1

Solving for x:
15 + 1 = 2x

16 = 2x

Divide both sides by 2:
16/2 = x

8 = x

HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?

Answers

The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 degrees the third angle in any triangle is 180 degrees minus the other two angle measures

Which fraction is in the simplest form of 224/360?

Answers

28/35 which u can't go any further than this bc 35 isn't divisible by 2 nor is 28 divisible by 5 

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)

Answers

Alright

This equation models a circle with a center of (-2 , 3) and a radius of 9

To check the point (6,3) how far is it from the center (-2,3):

using the distance formula:
[tex] \sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8[/tex]

therefore, this point lies INSIDE the circle, not on it nor outside it.

It is an interior point.

One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.

Answers

x = smallest angle, y = middle angle, z = largest angle

x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x

1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle

z = 2y
z = 2(54)
z = 108 <=== largest angle

1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle

Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?

Answers

First divide 3.5 by 2 which equals 1.75. Then do 1.75*3 which equals 5.25. So he drinks 5.25 liters in one hour.
3.5 divided by 2/3
convert 3.5 to 3 and 1/2 then to 7/2

(7/2)/(2/3)
remember that
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]

so
[tex]\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=[/tex]
[tex]\frac{20}{4}+\frac{1}{4}=[/tex] 5 and 1/4 liters per hour or 5.25 liters per hour

jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check

Answers

One hundred dollars & 42/100
One hundred dollars and 42/100------------------------------------------------------------

If the midpoint of a segment is the halfway point, then what is the midsegment of a triangle?

Answers

A midsegment is the line connecting the midpoints of two sides of a triangle. Each triangle has 3 midsegments.!

Final answer:

The midsegment of a triangle is a line segment connecting the midpoints of two sides of the triangle, parallel to the third side and half its length.

Explanation:

In geometry, the midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle. By definition, this segment is parallel to the third side of the triangle, and its length is half that of the third side. When we think about a triangle, we must consider it as a three-sided figure on a plane, with three angles adding up to 180 degrees. Within this triangle, the midsegment represents a special relationship between its sides and angles.

An example of a midsegment would be if you have a triangle ABC with points D and E being the midpoints of AB and AC, respectively. The midsegment DE would connect these midpoints and have properties that relate to side BC, the side of the triangle to which it is parallel.

The concept of the midsegment is useful in various geometric proofs and problems because it establishes proportional relationships within the triangle. It aids in solving problems by applying these inherent ratios and proportions.

what would 6x-4=10 be?

Answers

6x-4=10
6x=14
x = 14/6
x=7/3

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