Using the permutations formula, it is found that: 11,232,000 different license plates are possible
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The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
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Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
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In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
7-[tex]7=\frac{w}{4} -10[/tex]
Answer:
w = 68
Step-by-step explanation:
7 = w/4 - 10
~Simplify
7 = 1/4w - 10
~Add 10 to both sides
17 = 1/4w
~Multiply 4 to both sides
68 = w
Best of Luck!
Can someone help me? Giving 23 Points.
Answer:
Option 2 you welcome
explanation: I had this question a while back and I'm 100% sure that this is the right answer!
Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?
a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6
Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c
Step-by-step explanation:
s = 2b + ph solve for h
Answer:
2
Step-by-step explanation:
Select all the expressions that have a value of 180 when b = 4.
87b−179+957÷87
33b12
b2+120
51b−24
11b+187−2,756÷13
Answer:
87b-179+957÷87=180
51b-24=180
Step-by-step explan
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
Which number line models the solution set of -2x + 7 > 17?
Pls do 2 answers for good measures (and brainliest)
Answer:
-5
Step-by-step explanation:
-2x+7>17
-2x>17-7
-2x>10
Divide both sides by -2
-2x<10
-2 -2
x<-5
Note:when dividing with a negative the signs changes
Answer:
Step-by-step explanation:
- 2x + 7 > 17
- 2x > 17 - 7
- 2x > 10
x < 10 ÷ ( - 2 )
x < - 5
x ∈ ( - ∞ , - 5 )
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
What is the rectangular form of 17(cos(315°) + isin(315°))?
The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The rectangular form of 17(cos(315°) + isin(315°)).
We know that the value of cos 315° and sin 315°.
[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]
Then the value of the expression will be
⇒ 17[(1/√2) – (1/√2)i]
⇒ (17√2 / 2) – (17√2 / 2)i
Then the correct option is A.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Answer:
A
Step-by-step explanation:
Which set of coordinates describes a function
The answer would very. Let's say the function is y + 4 = (x + 4)
Two points would be (-4,-4) and (4,0)
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
the last two
Step-by-step explanation:
What is the value of 0
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
-11 = -4/3 y
Please answer the question...
What is the value of y?
Answer:
8.25
Step-by-step explanation:
-11 = (-4/3) y
(-11)/(4/3) =y
∴ y = 8.25
What is the equation of the line that passes through (-1, -7) and has a slope of 2?
Answer:
y=2x + 5 I think it should be
Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5
time to waste more points a yo help me
Answer:
1 mile every 6 minutes because 30 divided by 5 is 6 and 5 divided by 5 is 1
Step-by-step explanation:
I hoped this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
This is my sister's work, please help. will give brainliest. DON'T GIVE STUPID ANSWERS, I WILL REPORT
Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.
Answer:
a = 4√5Step-by-step explanation:
Given
Trapezoid XYWZAs given, sides XW and YZ are parallel and XY = WZ
Since it is isosceles, angles X and W are of same size
Therefore:
a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5Am I right vote you brainiest
Answer:
false
Step-by-step explanation:
HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation
The total cost is $635.
An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.
How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!
Answer:2
Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.
Answer:
I got C. 2
Step-by-step explanation:
I finished the test ( :
Question is attached!
Answer:
what are the answer
Step-by-step explanation:
what is 2x + 27 = -3 (x+5) + 7
Answer:
The answer is x = -7
Answer:
2^x = 16
Step-by-step explanation:
Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie swim in the morning than in the evening?
The diameter of a circle is 2 units What is the radius of the circle
Answer:
The radius of the circle is 1.
Step-by-step explanation:
The way to find the radius of a circle is to divide the diameter by 2.
Answer:
1
Step-by-step explanation:
Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i
h is friends as shown. The length of each section is 2 feet more than 3 times its width.
T
If the total amount of fence used for the kennel is 113 feet, what is the area of each section?
Enter the value of the answer in the first blank and enter the units in the second.
Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.
Enter units as ft., square ft., or cubic ft.
Answer:
The area of each section of the kennel is 33 square ft
Step-by-step explanation:
The given parameters for the fencing are;
The length of each section, L = 2 ft + The width, 3×W
The total amount of fencing = 113 feet
The The total perimeter of the kennel = 12·W + 7·L = 113
Were we are given L = 2 + 3·W
By substitution, we have;
12 × W + 7 × (2 + 3·W) = 113
33·W + 14 = 113
33·W = 113 - 14 = 99
W = 99/33 = 3
W = 3 ft.
L = 2 + 3·W = 2 + 3 × 3 = 11
L = 11 ft.
The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.
The area of each section of the kennel = 33 square ft.
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32. Which answer is the best first step to solve the equation for C?
Answer: I think that the guy above is right just subtract 32.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
We have,
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32.
Solve for C.
F = 95C + 32
Step 1:
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
Divide both sides by 95.
(F - 32)/95 = C
C = (F - 32) / 95
Thus,
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction
Will give brainliest for answer!!
Answer:
4 over 20
Step-by-step explanation:
did on edg 2020
Answer:
c
Step-by-step explanation: