Answer:
720
Step-by-step explanation:
It;s 6!
= 720.
There are 720 six digits number can be made.
What is factorial?The factorial of a whole number is the function that multiplies the number by every natural number below it. Symbolically, a factorial can be represented by using the symbol "!". So, "n factorial" is the product of the first n natural numbers and is represented as n!.
So n! or "n factorial" means:
n! = 1 · 2 · 3 · ... · n = Product of the first n positive integers = n(n-1)(n-2)…………………….(3)(2)(1)
The formula for n factorial is: n! = n × (n - 1)!
n! = n × (n - 1)!
This means that the factorial of any number is, the given number, multiplied by the factorial of the previous number. So, 8! = 8 × 7!...... And 9! = 9 × 8!...... The factorial of 10 will be 10! = 10 × 9!...... Like this if we have (n+1) factorial then it can be written as, (n+1)! = (n+1) × n!. Let us see some examples.
Given:
Digits are: 8, 0, 1, 3, 7, and 5
There total 6 digits.
So, number of 6 digits can be made is = 6!
= 6*5*4*3*2*1
= 720
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Let f(x) = x2 and g(x) = x - 3.
Evaluate (gºf)(-2).
A. -20
B. 20
C. 7
D. 1
Answer:
D. 1
Step-by-step explanation:
Step 1: Find g of f(x)
g(f(x)) = (x²) - 3
Step 2: Plug in -2 as x
g(f(x))(-2) = (-2)² - 3
g(f(x))(-2) = 4 - 3
g(f(x))(-2) = 1
Need help solving algebraic expression 3H+20+H=180
Answer:
H=40
Step-by-step explanation:
3H+20+H=180
4H +20 = 180
4H = 180 - 20
4H = 160
H = 160/4
H = 40
I solved it Step-by-step hoping this helps u to understand it.. Good Luck
what is 0.73 as a decimal
Answer:
0.73
Step-by-step explanation:
The decimal 0.73 is already in decimal form.
Answer:
73/100
Step-by-step explanation:
I put it down as 100
So 73/100 is the answer
put the following values in ascending order 4 2/7, 31/7, 3 5/7, 29/7, 27/7, the above are fractions you will get brainliest
Answer:
2/7 , 5/7 , 3 , 27/7 , 4 , 29/7 , 31/7
Step-by-step explanation:
2/7= 0.3
5/7= 0.7
3
27/7= 3.9
4
29/7= 4.1
31/7= 4.4
please mark me brainliest
Step-by-step explanation:
you first change the mixed fractions to improper fractions
it now becomes 4 2/7 = 30/7 and 3 5/7 = 26/7
then you find the least common multiple of the denominators of the fractions
which is 7. because they all have a common denominator
Then, you divide 7 with the denominators, the answer you get multiply with the numerators
i.e 30/7 ÷ 7 = 1, 1 × 30 = 30
26/7 ÷7=1,1×26=26
31/7÷7=1, 1×31=31
29/7÷7=1,1×29=29
27/7÷7=1,1×27=27
from the answers above you arrange them in ascending order (least to highest)
i.e 26/7 27/7, 29/7,30/7,31/7
3
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
2
AK (7.2)
1
y =
m
m+
-)(x2 - wa) + v
2 3 4 5 6 7 8 9 10 11 x
-11
-2
-3
-4
-5
-8
0-5
0 0
O 6
ibd
-10
J (1,-10)
Answer:
0
Step-by-step explanation:
Given the points J (1,-10) and K (7, 2)
From the section formula
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:
[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]
The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
DistanceIf a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:
[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]
The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.
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Can someone please help me solve this?
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 8 meters. If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?
Answer:
90m
Step-by-step explanation:
What is the measure of angle a?
Answer:
a = 95
Step-by-step explanation:
a+ 35+ 50 = 180
Combine like terms
a+ 85 = 180
Subtract 85 from each side
a+85-85 = 180-85
a = 95
Minimize Q = 3x^2
+ 4y^2, where x + y = 7.
Answer: The min value of Q is Q = 84 and it happens when x = 4 and y = 3
===========================================================
Explanation:
x+y = 7 turns into y = 7-x after subtracting x from both sides
Replace y with 7-x in the other equation to get
Q = 3x^2 + 4y^2
Q = 3x^2 + 4( y )^2
Q = 3x^2 + 4(7-x)^2
Q = 3x^2 + 4(49 - 14x + x^2)
Q = 3x^2 + 196 - 56x + 4x^2
Q = 7x^2 - 56x + 196
We have a function with one variable. Graphing 7x^2-56x+196 produces a parabola in which the vertex point is what we're after
Anything in the form p(x) = ax^2+bx+c will have a vertex (h,k) such that
h = -b/(2a)
k = p(h)
Let's find the x coordinate of the vertex
h = -(-56)/(2*7)
h = 4
Use this to find the y coordinate of the vertex
k = p(h)
p(x) = 7x^2-56x+196
p(h) = 7h^2-56h+196
p(4) = 7(4)^2-56(4)+196
p(4) = 84
The vertex is the lowest point in this case (since a = 7 is positive) and the vertex is (4,84)
Therefore, the minimum value of Q is Q = 84 and this happens when x = 4 and y = 3. Recall that y = 7-x.
We can see that,
Q = 3x^2 + 4y^2
Q = 3(4)^2 + 4(3)^2
Q = 3(16) + 4(9)
Q = 48 + 36
Q = 84
Which helps us verify we have the right Q value.
Andre has 3 times as many pencils as Noah and 5
pens. He has 17 pens and pencils all together. How
many pencils does Noah have?
Answer:
he have 40 pencils because it's need to double it.
Answer:
4 pencils
Step-by-step explanation:
17-5=12
12÷3=4
Please help i will mark brainliest!
Answer:
A. and C. are true i think :/
Step-by-step explanation:
im not 100% sure though but again, good lucks!
Find the value of x.
Answer:
x = √21.
Step-by-step explanation:
Triangles ADB and BCD are similar.
So their corresponding sides are in the same ratio:
x / 7 = 3 / x
x^2 = 21
x = √21.
maths question pls answer
Answer:
answer should be 52.4 mins
Step-by-step explanation:
find the midpoint for each time:
1. 15mins = 7students
2. 45mins = 27 students
3. 75mins = 12 students
4. 100 = 4students
Then, do the normal mean calculation by adding up all the values and dividing it by 50.
7*15 + 27*45 + 12*75 + 100*4 = 2620
2620/50 = 52.4mins
5t - 30t + 50 =0 pls help!!!
Answer:
t= 2
Step-by-step explanation:
5t - 30t + 50 =0
-50 -50
5t - 30t =-50
-25t = -50
÷-25 ÷-25
t= 2
Answer:
t = 2
Step-by-step explanation:
5t - 30t + 50 = 0
-25t = -50
t = -50/-25
t = 2
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who has a brother also has a
sister?
Has a brother | Does not have a brother
Has a sister
6
2
Does not have a sister
8
13
Answer:
[tex]Probability = \frac{6}{29}[/tex]
Step-by-step explanation:
Given
------------------------------Has a brother | Does not have a brother
Has a sister --------------------------- 6 ----------------- 8
Does not have a sister -----------2 ------------------ 13
Required
Probability of having a sister and a brother
First, the total number of students has to be calculated;
Total = 6 + 2+ 8 + 13
Total = 29
Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6
At this point, the probability can then be calculated;
Probability = Number of students that have a sister and a brother divided by Total number of students
[tex]Probability = \frac{6}{29}[/tex]
Urgent please help!! What is the 100th number in the arithmetic sequence 1, 9, 17, 25, ...?
Answer: 793
Step-by-step explanation:
1 + 8 = 9
9 + 8 = 17
17 + 8 = 25
If 25 is the fourth term in the sequence, and the formula is + 8 for every term, then you need to find 96 more terms with + 8.
96 * 8 = 768
768 + 25 = 793
Answer:
The 100th term is 793.
Step-by-step explanation:
Notice that this arithmetic sequence has first term [tex]a_1=1[/tex]
and common difference [tex]d=8[/tex] (since each consecutive term is built by adding "8" to the previous one)
Recall the general formula for the nth term of a sequence:
[tex]a_n=a_1\,+(n-1)\,d[/tex]
therefore, for our articular case, the term 100th can be obtained with:
[tex]a_n=a_1\,+(n-1)\,d\\a_{100}=1\,+(100-1)\,8\\a_{100}=1\,+(99)\,8\\a_{100}=1\,+792\\a_{100}=793[/tex]
What is the solution to this inequality?
17 + x >_ 33
A. x <_ 50
B. x >_ 16
C. x >_ 50
D. x <_ 16
Answer:
x>=16
Step-by-step explanation:
Let's subtract 17 from each side!
17 + x>=33
-17 -17
This gets us x>=16
Answer: B.
x≥16
Step-by-step explanation:
17+≥33
subtract 17 on both sides
x≥16
Mr. Avogadro started with 5.14x1022 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 1021 atoms of Pa-234. What s the half life of Pa-234?
Answer:
The half life of Pa-234 is approximately 0.0701656609 days
Step-by-step explanation:
The formula for half life is calculated as:
t½ = t.In(2)/In(No/Nt)
Where:
t½ = Half life of the substance in days
t = Time elapsed in days
No = Beginning amount
Nt = End Amount
In the question,
t = Time elapsed = 10 days
No = Beginning amount = 5.14 × 10²²
Nt = End Amount = 6.43 × 10²¹
t½ = t.In(2)/In(No/Nt)
t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)
t½ = 6.9314718056/98.78723754
t½ = 0.0701656609 days
The half life of Pa-234 is approximately 0.0701656609 days
Please answer this question now
Answer:
The midpoint is (2.5, 3.5)
Step-by-step explanation:
The midpoint is the average of the coordinates
x = (x1+x2)/2 and y =(y1+y2)/2
x = (2+3)/2 = 5/2 = 2.5
y = (3+4)/2 = 7/2 = 3.5
The midpoint is (2.5, 3.5)
Answer:
(2.5, 3.5)
Step-by-step explanation:
The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.
Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.
The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.
The answer is thus (2.5, 3.5).
~ an aesthetics lover
URGENT Please help!!!!! Time I have: 5 minutes There are 101 candies in a pile. Two boys take turns taking candies from the pile. They are allowed to take 1 to 9 candies in one move. The player who cannot make a move, loses. Which player is the winner, the first or the second? Assume both players choose the best strategy.
A student was given the following diagram and asked to prove that ac=xc. What would be the reason for the second step in the proof?
Answer:
Reflexive property
Step-by-step explanation:
Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m
Answer:
b
Step-by-step explanation:
Let's find the area of the adjacent side.
Applying Pythagoras' Theorem,
(adjacent side)²= 18² -9²
adjacent side[tex] = \sqrt{243} [/tex]
adjacent side= 15.588 m (5 s.f.)
Area of triangle= ½ ×base ×height
Area of traingle
[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]
The nearest answer is B.
*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.
Answer:
The answer above me is correct
Step-by-step explanation:
BRAINLIEST!!!! Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
An equation is formed of two equal expressions. There are a total of 16 tricycles.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.
The total number of vehicles is 40. Therefore, we can write the equation as,
x + y + 2= 40
x + y = 38
Solving the equation for x,
x = 38-y
Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,
2x + 3y + 2(4) = 100
2x+ 3y = 92
Substitute the value of x from the above equation,
2(38 - y) + 3y = 92
76 - 2y + 3y = 92
y = 16
Hence, there are a total of 16 tricycles.
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Help pls!!1!___________
Answer:
1.08*10^11
Step-by-step explanation:
how many more it means you need to subtract :
in year 1965 : 7.2*10^10
in 1995 :1.8*10^11
(1.8*10^11)-(7.2*10^10)
18*10^10-(7.2*10^10)=
10.8*10^10 or 1.08*10^11
Which table represents the function y = -2x + 4?
Answer:
Table 2.
Step-by-step explanation:
Input x as 0, the output y should be 4.
y = -2(0) + 4
y = 0 + 4
y = 4
Input x as 1, the output y should be 2.
y = -2(1) + 4
y = -2 + 4
y = 2
Input x as 2, the output y should be 0.
y = -2(2) + 4
y = -4 + 4
y = 0
Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?
Answer:
ax² + bx + c
Step-by-step explanation:
The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.
Suppose a quadratic function:
f(x) = 2x² - 8x + 9
Use ( -b/2a , f(-b/2a) ).
-b/2a
a = 2
b = -8
-(-8)/2(2)
8/4
= 2
f(2) = 2(2)² - 8(2) + 9
f(2) = 2(4) - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
The minimum value of this quadratic function is (2, 1).
It represents a minimum value because a > 0.
Answer:
Vertex form
Step-by-step explanation:
There are several forms of the quadratic equation
Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry
Factored form: y = (ax - c)(bx - d) which will give us the zeros
and
Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex
The maximum and minimum would be the value of k
It would be maximum when a >0 and minimum when a<0
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer: 2 <= X <= 5
Step-by-step explanation:
Answer: 2 <= X <= 5
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.
And no less than 2 days per week. That is, greater than or equal to 2 days.
Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2
An inequality to represent the range of days an employee can work will be
2 <= X <= 5
Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days
Can anyone help please! Thanks!
The original price of a camera is $150 in a discount of 30% is given what is the discounted price of the camera
Answer:
$105
Step-by-step explanation:
150 times 0.7 is equal to 70% of 150
70% of 150 is 105
105 is the reduced price
Find the value of x. Give reasons to justify your solution. C ∈ AE
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)Answer:
11 degrees
Step-by-step explanation:
Ur welcome