The number of distinct ways in which the digits of the number 7,511,111 can be arranged is of:
42.
How to obtain the number of arrangements?The total number of arrangements of n elements is given by the factorial of n, as follows:
A(n) = n!
When a few of the elements repeat, the number of arrangements with repetition is given by the equation presented as follows, also involving factorials.
[tex]A_n^{n_1, n_2, \cdots n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
In which [tex]n_1, n_2, \cdots n_n[/tex] is the number of times that each element repeats.
For the number 7,511,111, we have that:
There are seven digits.The digit one repeats five times.Hence the number of distinct arrangements of the number 7,511,111 is given as follows:
7!/5! = 7 x 6 = 42 distinct arrangements.
More can be learned about the arrangements formula at https://brainly.com/question/20255195
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Which statements are true about the polynomial function?
f(x)=x^4+5x^3−x^2−5x
Select each correct answer.
A.) f(x) divided by (x+5) has a remainder of 0.
B.) (x−5) is a factor of f(x) .
C.) f(x)=0 when x=−5 .
D.) f(5)=0
Answer:
A and C are correct
Write the phrase as an expression. Then evaluate when x=5 .
the sum of a number x and 4, all divided by 3
Expression:
When x=5, the value of the expression is :
Answer:
[tex]\frac{x+4}{3}[/tex] ; 3
Step-by-step explanation:
In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.
The sum of a number x and 4, all divided by 3.
Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.
[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]
Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.
(5)+4
3
[tex]\frac{9}{3}[/tex]
9/3 gives you 3, so your answer would be 3.
Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)
EQUATION ---> c/-q+6=14
answer choice
a) c=29
b) c=-72
c) c= 72
d) c= 68 Help please :(
Answer:
c/-9+6=14
c/-9=14-6
c/-9=8
c=8×(-9)
c= -72
Therefore the answer is (b)
what is the graph of x< -12y
Answer:
the graph of x = a is a straight line parallel to y-axis at a distance a from the y-axis, on the right if a > 0 and on the left if a < 0. (iv) Graph of y = a.
Step-by-step explanation:
HOPES THIS HELPS MY FRIEND!!!
Fifteen less than the product of
seven and a number is four
What is this in number form
Answer:
the product of some number (call it x) and 7 is:
7⋅x or just 7x
now take 15 less than that:
7x−15 or y=7x−15
Can someone please give me the (Answers) to this? ... please ...
I dentify the idlowing pairs. of angles.
1.<1 and <4
2.<1 and <5
3. <2 and <8
4.<4 and <5
5. <3 and <5
6.<3 and <6
7.<2 and <6
8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/
1 / 2
<————---———————>
3 / 4
5 / 6
<————————————>
7 / 8
ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,
ANSWERS:
1. Vertical
2. Corresponding
3. Supplementary
4. Alternate Interior
5. Co-Interior
6. Alternate Interior
7. Corresponding
8. Alternate Exterior
The graph of y=f(x) is above. If f(-4)=k, what is the value of f(k)?
(A) -2
(B) -1.5
(C) -1
(D) 1
(E) 3
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
This is an isosceles triangle, so the missing side is also 3
x = [tex]\sqrt{3^2 + 3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
Simplify [tex]\sqrt{18}[/tex]:
18 = 2 x 3 x 3
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]
[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]
-Chetan K
What is -3m + 5m = -14? With work provided
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
what is 4x-8+5x=28 plz help me with this
Answer:
x=4
Step-by-step explanation:
4x-8+5x=28
9x-8=28
Add 8 to both sides.
9x=36
Divide 9 from both sides.
x=4
Hope this helps! Plz give brainliest!
Pleease please please help me! asap <3 30 points! pls make sure its right UwU thx im timed :(
The function f(x)is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
f(x) =
Answer:
f(x) = -x -1
Step-by-step explanation:
f(x) = mx + b
find 2 points on the line:
A( -1 , 0)
B( 0 , -1)
Put them in the equation and fine m & b:
0=m(-1)+b
-1=m(0)+b
so b= -1
and m= -1
so f(x) = -x-1
Answer:
-x - 1
Step-by-step explanation:
line is passing through (-1, 0) (0, -1)
m = (-1 - 0) / (0 - (-1) )
= -1 / 1
= -1
line equation = y - y1 = m (x - x1)
y - 0 = -1 (x - (-1) )
y = -1 (x + 1)
y = -x - 1
y = f(x)
find x help pls i need help asap pls!
Answer:
x = 18
Step-by-step explanation:
x + 36 and 3x are corresponding angles and are congruent , so
3x = x + 36 ( subtract x from both sides )
2x = 36 ( divide both sides by 2 )
x = 18
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
please help with statistic 21
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:
Answer:
m∠2 = ______75__
m∠3 = ____105____
m∠4 = _____75___
Step-by-step explanation:
i did the math
For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.
Answer:
C. a= -1, m=1
Step-by-step explanation:
hope i helped, have a great day :)
For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.
What are Asymptotes of a Function?There are asymptotes like horizontal, vertical and oblique asymptotes.
Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.
Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.
The given function is,
f(x) = [tex]\frac{2x^m}{ x + a}[/tex]
Horizontal asymptote of this function is at y = 2.
lim x → ∞ f(x) = 2
lim x → ∞ [tex]\frac{2x^m}{ x + a}[/tex] = 2
Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.
lim x → ∞ [tex]\frac{2x^m}{ x }[/tex] = 2
For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.
⇒ [tex]x^m[/tex] = [tex]x[/tex]
⇒ m = 1
Vertical asymptote of the function is at x = 1.
Let x + a = 0
⇒ 1 + a = 0
⇒ a = -1
Hence we get the values a = -1 and m = 1 for the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.
To learn more on Asymptotes, click :
https://brainly.com/question/4084552
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help algebra 2 please
yung may dalawang one true answer promise
Answer:
Step-by-step explanation:
g(x) = -x² - x - 1 = -1(x² +x + 1)
[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]
please help me mate, would ya? please
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
4f = -24
Solve f
I need to show work
Challenge. The price of Stock A at 9 A.M. was $13.66. Since then, the price has been increasing at the rate of $0.05 each hour. At noon the price of Stock B was $14.16. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
7/4
Step-by-step explanation:
We can write equations for increasing stock and decreasing stock and find our answer.
Let number of hours be "h" for both to be same
For first, we can write:
13.66 + 0.05h
But, second one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 x 0.05 = 0.15, so we equation would be:
13.81 + 0.05h
Now, Stock B's equation [from noon]:
14.16 - 0.15h
Equate and solve:
so we will do 13.81 + 0.05h = 14.16 - 0.15h
number with number
variables with variables
0.2h = 0.35
divide 0.2 both sides
answer is
1.75 or if its in fraction form 7/4
Answer:
1.75 hours
Step-by-step explanation:
(13.66 +3*0.05) + (0.05 * h) = 14.16 - (0.15 * h)
13.81 + 0.05h = 14.16 - 0.15h
0.05h + 0.15h = 14.16 - 13.81
0.20h = 0.35
h = 0.35/ 0.20
h = 7/4
Estimate and solve 3,514 ÷ 68:)
Answer:
Step-by-step explanation:
4 ⟶ 30 34 is rounded down to 30
86 ⟶ 90 86 rounded up to 90
34 ⟶ 30
86 ⟶ 90
34 is rounded down to 30
86 rounded up to 90
Calculate mentally 30 × 90 = 2700
The estimated product is 2700.
Which of the following is most likely the next step in the series?
Answer:
C, because each time, the number of purple dots, or vertices increases by one..
2, 3, 4, ?..
the next would be five, which is C.
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C
Which of the following is the slope in the function f(x) = 5x - 2?
Answer:
5/1
or 5x
is the slope
brainliest please :)
Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
Answer:
08 : 00
min : sec
8 minutes each mile
Answer:
0.125 is your answer
Step-by-step explanation:
5/40 = 0.125
Find the equation of the line perpendicular to [tex]-\frac{1}{2} x[/tex] and passing through the point (−6; 1).
⦿ Hi There! ⦿
Point-Slope form:
y-y1=m(x-x1)
y-1=m(x-(-6)
Perpendicular lines have slopes that are opposite reciprocals.
It means that if we have -1/2, we flop it over and make it positive.
So the slope of the new line is 2.
y-y1=m(x-x1)
y-1=2(x-(-6)
y-1=2(x+6)
y=1=2x+12
y=2x+12-1
y=2x+11
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
What is the square root of 8 and 24?
Answer:
√8 = 2.828427125
√24 = 4.89897948557
or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x
Answer:
[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]
Is Scrooge a static or dynamic character? Explain your answer with examples from the story. Please be sure you do not use your book; only give examples from what you remember. Write at least three sentences.
Answer:
do u need help?
...uhmm...ok i will help u.....i-if t-thts o-ok with y-you i-guessPLEASE HELP QUICK!!
what is the slope of this line?
I think it might be D
