Answer:
Step-by-step explanation:
i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536
The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
For this case, we assume that:
"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).
And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.
Thus, total 52+10 = 62 different choices to choose from.
Of these 62 options, we can use one letter only one time in a password.
Choosing any 4 characters out of those 62 characters is done in:
[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.
Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of those 557845 choices can be permuted in 4! ways.
Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]
Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.
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Which table represents a linear function?
At a glance, Kendra believes that the function represented on the graph is linear.
How can Kendra determine if the function is actually linear?
She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
what is a^2 + 10a+24
Answer:
Step-by-step explaintation
a2 + 10a = 24
10a + a2 = 24
10a + a2 = 24
Solving for variable 'a'.
Reorder the terms:
-24 + 10a + a2 = 24 + -24
Combine like terms: 24 + -24 = 0
-24 + 10a + a2 = 0
Factor a trinomial.
(-12 + -1a)(2 + -1a) = 0
Set the factor '(-12 + -1a)' equal to zero and attempt to solve:
Simplifying
-12 + -1a = 0
Solving
-12 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + -1a = 0 + 12
Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12
Combine like terms: 0 + 12 = 12
-1a = 12
Divide each side by '-1'.
a = -12
Simplifying
a = -12
tell whether x and y are proportional
Answer:
Yes b/c y = 12x
Step-by-step explanation:
y = 12x
What is the m < 2 if m < 6 = 47°?
I need 7/5 renamed to a fraction
Answer:
Step-by-step explanation:
the simpliest form is [tex]1\frac{2}{5}[/tex]
It already is a fraction. If you need it simplified, it would be 1 2/5.
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hope it helps
Help please
Brainiest answer to whoever is correct
Answer:
Required amount of aluminium foil = 522.80 [tex]in^{2}[/tex]
Step-by-step explanation:
The shape of the large Hershey kisses can be compared to that of a cone. So that;
the surface area of the kisses = [tex]\pi[/tex][tex]r^{2}[/tex] + [tex]\pi[/tex]rl
Let the slant height be represented by l. Applying the Pythagoras theorem;
[tex]l^{2}[/tex] = [tex]10^{2}[/tex] + [tex]8^{2}[/tex]
= 100 + 64
= 164
l = [tex]\sqrt{164}[/tex]
l = 12.81 in
Thus,
surface area of the kisses = (3.14 x [tex]8^{2}[/tex]) + (3.14 x 8 x 12.81)
= 200.96 + 321.7872
= 522.7472
surface area of the kisses = 522.75 [tex]in^{2}[/tex]
Thus, the amount of aluminium foil required to wrap the kisses is 522.80 [tex]in^{2}[/tex].
HELP ME I DONT KNOW ITS ABOUT Writing Equations of Lines!!! I WILL GIVE BRAINLIEST
Answer:
y=4/3x-7
Step-by-step explanation:
Answer:
Y=4/3x-7
Step-by-step explanation:
If you help me I'll make as brilliant
The answer is A) 3/100.
Find the inequality represented by the graph
Answer:
y > -2/3 x + 3
Step-by-step explanation:
First we find the equation of the dashed line.
y = mx + b
We see b = 3.
The slope is -2/3.
The equation of the line is
y = -2/3 x + 3
The line is dashed, not solid, and the shading is above the line, so the inequality is
y > -2/3 x + 3
In ANOP, the measure of _P=90°, NO = 49 feet, and OP = 19 feet. Find the measure
of N to the nearest degree.
O
N
49
19
Answer:23
Step-by-step explanation:
Answer:
the answer is 23
Step-by-step explanation:
find the discriminant of x²+6x+9=0
Answer:
x²+6x+9=0
x²+3x+3x+9=0
x(x+3)+3(x+3)=0
(x+3)(x+3)=0
either
x+3=0
x=-3
or
x+3=0
x=-3
Step-by-step explanation:
next method
x²+6x+9=0
x²+2×x×3+3²=0
it is in formula of (x+y)²
(x+3)²=0
x+3=√0
x+3=0
x=-3
A farmer sells 6.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
If 3 5 is 3/5 then 2.64 would be the answer
Step-by-step explanation:
convert 3/5 to a percentage which is 60%. find 60% of 6.6
Can someone help me ASAP plz
Answer:
[tex]\boxed{\text{\sf \Large 138.6 mm^2 $}}[/tex]
Step-by-step explanation:
Area of rectangle
[tex]15 \times 5=75[/tex]
Area of circle (semi-circle+semi-circle)
[tex]r=(15-3-3) \div 2 = 4.5[/tex]
[tex]\pi \times 4.5^2=20.25\pi[/tex]
Add both areas
[tex]20.25\pi +75[/tex]
[tex]20.25 \times 3.14 +75=138.585[/tex]
11 = 7 – 5x
Please help!
Answer:
the answer is x=-4/5
Step-by-step explanation:
hoped I helped:)
Answer:
-4/5
Step-by-step explanation:
11=7+-5x
11=-5x+7
-5x+7=11
-5x+7-7=11-7
-5x=4
-5x/-5=4/-5
For what value of x is AABC - ADEF?
HELP PLEASE!!
Answer:
A) x = 12
Step-by-step explanation:
4x-6 = 42
4 = 48
x = 12
7x+10 = 94
7x = 82
x = 12
the measures of the side of a triangle are 4√2 cm, 4√2 cm qnd 8√2 cm. what is the perimeter of the triangle?
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
Add up all the sides to get the perimeter:
[tex]4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}[/tex]
Please HELP!!! 20 POINTS!!
Answer:
guessing 8
Step-by-step explanation
27-3= 24
24/3=8
A model railroad set was originally priced at $60, but Oliver waited to buy it until the model railroad set was on sale for 50% off. If he paid 10% sales tax on the sale price, how much did he pay in total?
$
Answer:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $33
Answer:
Step-by-step explanation:
$33
Step-by-step explanation:
60 * 50% = 30
30 *10% = 3
30 + 3 = $3
6. Given that g(x) is the inverse of f(x)...
a. f(x) = 3x + square root x + 3; find g(2)
b. f(x) = e^x; find g'(e3)
Answer:
sub 2 lazarbeam... yeet yeet yeet
29. The circumference of a circle is C centimeters. The diameter of the circle is 13
centimeters.
Which expression best represents the value of ar?
Answer:If the diameter is 13 you should try each answer until you find pi.
To find pi you have to divide the circumference by the radius.
You don't need to find the circumference in this question but you can.
The circumference is 40.82
Then you have to divide
40.82÷13
that equals 3.14
and because that is pi, C is your answer
Step-by-step explanation:
Why are 4(5) and 20 equivalent expressions?
Answer:
because 4 to the power of 5 is 5 x 5 x 5 x 5 and that equals 20
and the next number is 20
Step-by-step explanation:
8 less than or equal to -2x+16
The Answer is 8 ≤ -2x+16.
Can you guys help out? I don't think I have the right answer. Thanks
Answer:
b and d
Step-by-step explanation:
i think its d i couldnt read the story so if im wrong i am terriably sorry.
hi, i need help with Solve 18>12+x. Graph the solution.
Answer:
x < 6
Step-by-step explanation:
18 > 12 + x
Switch sides:
12 + x < 18
Subtract 12 from both sides:
12 + x - 12 < 18 - 12
x < 6
The solution of the inequality is,
⇒ x < 6
And, Graph is shown in image.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 18 > 12 + x
Now, We can solve the inequality as;
⇒ 18 > 12 + x
Switch sides:
⇒ 12 + x < 18
Subtract 12 from both sides:
⇒ 12 + x - 12 < 18 - 12
⇒ x < 6
Thus, The solution of the inequality is,
⇒ x < 6
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A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
Which of these expressions is equal to 2 + √-36?
a. 2 - 36i
b. 2 + 36i
c. 2 - 6i
d. 2 + 6i
Answer:
D
Step-by-step explanation:
i = √-1 , as number inside a √ cannot be a negative number, i is an imaginary number
2 + √-36
= 2 + √(36×-1)
= 2 + 6i, d
Cherlyn moves houses her old house is 3 kilometers from her new house how many meters is it from the old house to the new house?
Answer:
3,000 meters
Step-by-step explanation:
1 Kilometer = 1,000 meters
1,000 meters x 3 Kilometers = 3,000 meters
Hopefully this helps :3 Sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
solve using the Pythagorean theorem.
need urgent help
Answer:
y = 7
Step-by-step explanation:
Mathematically, according to the Pythagoras’ theorem;
The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides
The hypotenuse is the side that faces the right angle and it is represented by the square root of 85 here
Thus, we have it that;
(√85 )^2= 6^2 + y^2
85 = 36 + y^2
y^2 = 85-36
y^2 = 49
y = √49
y = 7
Which one of the following equations represents a circle with its center of origin?
A) x^2 + y^2 = 5
B) x^2 + y = 25
C) x + y = 5
D) x/2 + y/2 = 25
Answer:
A) x² + y² = 5Step-by-step explanation:
The equation of the circle:
(x - h)² + (y - k)² = r²The center is (h, k)
Wen the center is the origin we have, h = 0, k = 0:
x² + y² = r²The only equation in same format is the first one
5% of the aliens are green. If there are
40 aliens, how many are green?
Answer:
2 aliens are green.
Step-by-step explanation:
0.05 * 40 = 2