HAS TO BE DONE BY TOMORROW - A positive integer is called snakelike if its digits alternately increase and decrease or vice versa. For example, 130 and 91727 are snakelike. However 123 is not snakelike (2 is greater than 1 but not 3) and 91727 is not snakelike (7 is greater than 1 but not 7) A) How many 4-digit snakelike numbers contain each of the digit 1,2,3,4 exactly once B) How many 3-Digit snakelike numbers have 6 as their middle digit C) a 7-digit snakelike number starts with digit 9. Explain why it last digit cannot be 0

HAS TO BE DONE BY TOMORROW - A Positive Integer Is Called Snakelike If Its Digits Alternately Increase

Answers

Answer 1

Answer:

A)

The simplest way to solve A is by checking 1st digit one-by-one.

selecting 1 as 1st digit, we have 2 ways

1324 and 1423

selecting 2 as 1st digit, we have 3 ways

2143, 2314, and 2413

selecting 3 as 1st digit, we have 3 ways

3142, 3241, and 3412

selecting 4 as 1st digit, we have 2 ways

4132 and 4231

=> 2 +3 + 3 + 2 = 10 ways in total.

B)

Use the same strategy as A)

selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}

selecting 9 as 1st digit => 967, 968

selecting 8 as 1st digit => 867, 869

selecting 7 as 1st digit => 768, 769

=> 3 x 2 = 6 ways

selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}

selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560

similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit

=> 5 x 6 = 30 ways

=> 30 + 6 = 36 ways in total

C)

a 7-digit snakelike number starts with digit 9 (the largest digit)

=> 2nd digit is smaller than 9

=> 3rd digit is larger than 2nd digit

=> 4th digit is smaller than 3rd digit

=> 5th digit is larger than 4th digit

=> 6th digit is smaller than 5th digit

=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)


Related Questions

How would I solve Part B?

Answers

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

if EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

Answers

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

[tex]\angle EFG=\angle EFH+\angle HFG[/tex]

[tex]18x+11=(5x+1)+(62)[/tex]

[tex]18x+11=5x+63[/tex]

Isolate variable terms.

[tex]18x-5x=63-11[/tex]

[tex]13x=52[/tex]

Divide both sides by 13.

[tex]x=\dfrac{52}{13}[/tex]

[tex]x=4[/tex]

The value of x is 4.

[tex]\angle EFH=(5x+1)^\circ[/tex]

[tex]\angle EFH=(5(4)+1)^\circ[/tex]

[tex]\angle EFH=(20+1)^\circ[/tex]

[tex]\angle EFH=21^\circ[/tex]

Therefore, the measure of ∠EFH is 21°.

Evaluate 9 – b when b = 8.

Answers

Answer:

9 - b = ? 9 - 8 = 1 So, your answer is 1.

Step-by-step explanation:

Find the slope and y-intercept of the following equation: Y = ¾ x - ½

Answers

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

Simplify this expression
Thank you :)

Answers

im not entirely sure but i got 3x^2y

How can you tell if a representation is
NOT a function?

Answers

It is not a function if there is no pattern to the numbers

find tangent and explain the process

Answers

Answer:

A

Step-by-step explanation:

So we want to find the tangent of Angle QSR.

First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:

[tex]QSR+TSQ=180[/tex]

We already know that TSQ is 150, thus:

[tex]QSR+150=180[/tex]

Subtract:

[tex]QSR=30[/tex]

So, QSR is 30 degrees.

Find tangent of 30 degrees.

[tex]\tan(30)[/tex]

1) If you know the unit circle:

At 30 degrees, our coordinate is:

[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]

So, our answer would be:

[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]

Simplify:

[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

2) If you don't know the unit circle.

Recall that 30-60-90 is a special right triangle.

The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.

Therefore, tangent of 30 is opposite over adjacent. Thus:

[tex]\tan(30)=opp/adj[/tex]

Substitute x for opposite and x√3 for adjacent. Thus:

[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]

Remove the x:

[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]

Multiply both layers by √3. So:

[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]

Our answer is A :)

If i = the square root -1, what is i^3 equal to?​

Answers

Answer:

[tex] \sqrt{ - 1} [/tex]

Step-by-step explanation:

that's the correct answer

Which of these is equal to sin 32?
sin 148
sin 58
ооооо
cos 58
cos 148
cos 32

Answers

Answer:

sin148 and cos58

Step-by-step explanation:

sin32=0.530

sin148=0.530

cos58=0.530

Hope it is helpful for you

please follow me

Solve 2x+1=-52x+1=−5 x=

Answers

i tried this problem and i keep getting zero.

The composition of any function, f(x), and its inverse, f'(x),

Answers

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

The composition of any function, f(x), and its inverse f'(x) is x.

What is a composition of inverse function?

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

To know more about the Inverse function click the link given below.

https://brainly.com/question/5245372

2+3(3a+a)

What is the distribute of this?

Answers

2+12a is the distribute
Bring down the 2
Then multiply 3 by both 3a and a. 2+9a+3a
Then add like terms to get
2+12a

This question is confusing. Please help me!

Answers

Answer:

(A) y - x

Step-by-step explanation:

Finding a:

ax + x² = y² - ayax + ay = y² - x²a(x+y)= (y+x)(y-x)a = y - x

Correct choice is (A)

Based on the information in the statement, what is phillips net worth

Can someone help me?

Answers

Answer:

B

Step-by-step explanation:

J

Answer:

B

Step-by-step explanation:

Hope it help

I need help please! If m∠ABD=76°​, what are m∠ABC and m∠​DBC? If m∠JKH=77° then m∠NDF=​__

Answers

Answer:

m<ABC = 41°

m<DBC = 35°

m<NDF = 77°

Step-by-step explanation:

Problem 1:

Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)

m<ABC + DBC = m<ABD (angle addition postulate)

[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)

Solve for x

[tex] 7x - 1 + 5x + 5 = 76 [/tex]

Collect like terms

[tex] 7x + 5x - 1 + 5 = 76 [/tex]

[tex] 12x + 4 = 76 [/tex]

Subtract 4 from each side

[tex] 12x + 4 - 4 = 76 - 4 [/tex]

[tex] 12x = 72 [/tex]

Divide each side by 12

[tex] x = 6 [/tex]

Find m<ABC

m<ABC = (7x - 1)

Plug in the value of x

m<ABC = 7(6) - 1 = 42 - 1 = 41°

Find m<DBC

m<DBC = (5x + 5)

Plug in the value of x

m<DBC = 5(6) + 5 = 30 + 5 = 35°

Problem 2:

<JKH and <NDF are corresponding angles. Corresponding angles are congruent.

Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).

A football team lost 9 yards during a play. The team had a combined gain or loss of 0 yards after the next play. What integer represents the yards gained or lost on the next play? Show this on the number line.

Answers

Answer:

_____________

The integer is 0

look at image. reflection across x=1​

Answers

Answer:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Step-by-step explanation:

A' would be at (0,-4)

B' would be at (-2,1)

C' would be at (-2,-3)

Answer:

C  4,3  A 2,-5   B 1,4

Step-by-step explanation:

This goes with number 4

Answers

Answer:

B

Step-by-step explanation:

You are correct

Graph the line with the equation y=1/6x-7

Answers

Answer:

Step-by-step explanation:

A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = 1/6(x) - 7

y = 1/6(0) - 7

y = -7.

Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.

In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to  1/6 and it does not represent a proportional relationship.

Read more on a graph here: brainly.com/question/4546414

#SPJ6

karen wants to attend a summer camp that charges $225.00 Mrs.Whittle pays karen $6.25 an hour to babysit last saturday karen made $18.75 how many more hours will karen have to baby sit in order to earn enough money for camp?

Answers

Answer:

33

Step-by-step explanation:

Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.

Answer:

33

Step-by-step explanation:

solve for g E=8gh Please help!!!

Answers

Answer:

Step-by-step explanation:

8gh = E

g = E/8h

solve for b 2b+1/2=3

Answers

Answer:

b = 5/4  ( or  = 1.25)

Step-by-step explanation:

2b + (1/2) =3    (subtract 1/2 from each side

2b = 3 - (1/2)

2b = 2 1/2   (express 2 1/2 as an improper fraction = 5/2)

2b = 5/2     (divide both sdes by 2)

b = (5/2) / 2

b = 5/4

congruence transformation pls help

Answers

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

Ms. Greenlee went to a restaurant with her mom. After a good meal, which cost her
$45, she decided to leave a tip of 18%. How much will be her total bill, including the
tip?

Answers

Answer:

$53.10

Step-by-step explanation:

Convert 18% to the decimal fraction 0.18.

Then,

multiplyibng the $45 meal cost by 1.18 results in the total bill.   It is

1.18($45) = $53.10

I NEED HELP I DONT UNDERSTAND

Answers

Add 10 in each number to get the answer at the end

When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5

Answers

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

.Write a division equation so that it has a solution of -2

Answers

Let’s take a random number such as 10, for example as the divisor of the equation.
Let’s take the dividend, or numerator of the fraction be x.
The solution of the fraction would be -2.

x/10 = -2
Or, x= -2 x 10
Or, x= -20

Therefore, -20/10 = -2
Ans: The division equation would be -20/10 = -2.

Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000

Answers

Step-by-step explanation:

We need to convert 1.5 × 10⁸ from scientific notation to standard form.

The scientific notation is 1.5 × 10⁸

Out of the given options, we need to choose the correct one.

10⁸ means 100000000

⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]

or

[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]

One of the zero from denominator and numerator will cancel down.

[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]

So, the correct option is b.

what is the correct solution steps and solution to 3x+2=17?

Answers

Answer:

x=5

Step-by-step explanation:

3x+2=17

17-2=3x

15=3x

3*5=14

15=15

x=15

2. Find the product (2x + 3)(3x - 2).

Answers

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

Answer:

here the answer is 6x² + 5x - 6

Step-by-step explanation:

here is the clear explanation

2x(3x - 2) + 3(3x - 2)

= 6x² - 4x + 9x - 6

= 6x² + 5x - 6

i not sure of the answer

sorry if it is wrong

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