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

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 :)

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

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

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°.

Answer:

x=5

Step-by-step explanation:

3x+2=17

17-2=3x

15=3x

3*5=14

15=15

x=15

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:

Answer:

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

Step-by-step explanation:

that's the correct answer

Answer:

Step-by-step explanation:

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

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:

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

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

Answer:

B

Step-by-step explanation:

J

Answer:

B

Step-by-step explanation:

Hope it help

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

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.

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

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

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

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).

Answer:

sin148 and cos58

Step-by-step explanation:

sin32=0.530

sin148=0.530

cos58=0.530

Hope it is helpful for you

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Answer:

_____________

The integer is 0

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:

Answer:

Step-by-step explanation:

8gh = E

g = E/8h

Answer:

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

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are correct

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.

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

Answer:

(A) y - x

Step-by-step explanation:

Finding a:

Correct choice is (A)

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)