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)
How would I solve Part B?
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
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.
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:
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 :)
How can you tell if a representation is
NOT a function?
It is not a function if there is no pattern to the numbers
find tangent and explain the process
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?
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
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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Solve 2x+1=-52x+1=−5 x=
The composition of any function, f(x), and its inverse, f'(x),
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?
This question is confusing. Please help me!
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 - xCorrect choice is (A)
Based on the information in the statement, what is phillips net worth
Can someone help me?
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=__
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.
Answer:
_____________
The integer is 0
look at image. reflection across x=1
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
Answer:
B
Step-by-step explanation:
You are correct
Graph the line with the equation y=1/6x-7
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?
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!!!
Answer:
Step-by-step explanation:
8gh = E
g = E/8h
solve for b 2b+1/2=3
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
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?
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
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
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
Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000
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?
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).
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