a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are possible if letters and digits cannot be repeated?

Answers

Answer 1

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

= 5040 * 650 = 3,276,000.

Answer 2

Answer:

3,276,000

Step-by-step explanation:

10 x 9 x 26 x 25 x 8 x 7 = 3,276,000

the numbers 10, 9, 8, 7 are the spaces available for a non-duplicated digit

the numbers 26 and 25 are for two non-duplicated letters


Related Questions

CONSTRUCTION The area of Liberty Township’s square playground is represented by the trinomial x^2 - 10x + 25. Write an expression using the variable x that represents the perimeter.

Answers

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00? ​

Answers

Answer:

$36.75

Step-by-step explanation:

The sales tax rate = 5 = 0.05  [Divide by 100 to convert in decimal]

The cost of a pair of shoes = $35.00

Tax amount to pay = Tax rate × Cost of a pair of shoes

5% of 35 = 1.75

35 + 5% = $36.75

The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5

Answers

Answer:

The answer is 357

Step-by-step explanation:

PLS HELP ITS TIMED..

Answers

Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW

Answers

Answer:

cant its blocked

Step-by-step explanation:

$213 ski jacket with a 30% discount and a 6% tax

Answers

$158.046

Take the discount off first, 213*.70=149.10, then multiply 149.10*1.06= $158.046

158.04$.

What is discount?

A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.

Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,

discounted price of jacket = 213 (1- 30%)

discounted price of jacket = 149 approx.

Total price of the jacket after-tax = 149 (1 + 6%)

The total price of the jacket after-tax = 158.04$

Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.

Learn more about discounts here:

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Help needed ASAP please

Answers

Answer:

19. 0•7431

20. 1•2800

21. 0•4850

Which inequality is equivalent to 4x-2y≤8?

A. y≤-2x-4
B. y≥2x-4
C. y≤2x-4
D. y≥-2x-4

Answers

It should be B. Ignore the part I scratched out

Which is true about quadrant equations

Answers

Answer: In algebra, a quadratic equation (from the Latin quadratus for " square ") is any equation having the form where x represents an unknown, and a, b, and c represent known numbers, with a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.

Step-by-step explanation:

Answer:

 B                                                  

Step-by-step explanation:

Hey there !!!

the question is incomplete the full question is Which of the following statements is TRUE/CORRECT about Quadratic Equations? A quadratic equation is _____

with options

A) an expression with a single variable and degree 2

B) an equation with a single variable and degree 2

c) an equation with only degree to 2

D) an equation with single variable only

and the correct answer is B

because Quadratic Equation states that An equation with one variable and degree 2 is a Quadratic Equation. Only option b satisfies the two basic conditions of a quadratic equation i.e. one/single  variable and degree 2. Hence b is the correct answer.

Hope it helped

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Evaluate f(x)=−7x−5 when x=−6.

f(−6)=

Answers

The answer would be 37 because you multiply -7(-6) and get 42 and the you subtract 5 and get 37 as your final answer

Answer:

f(_6) = _7(_6)_5

=42_5

=37

i never understood this!who ever gives me a answer i'll give em 5 stars and a thanks

Answers

What’s the question asking? I’m pretty good at math and explaining! (:

The volume of a cylinder whose radius is 2r cm and height h/4cm is______________

Answers

Answer:

V=πrh/2

Step-by-step explanation:

volume of a cylinder can be calculated using below formula

V=πr2h

Given:

radius =2r cm

height= h/4cm

If we substitute the given value into the formula we have πrh/2

V= π ×(2r) ×(h/4)

Simplyfying

V=πrh/2

Hence, The volume of a cylinder is V=πrh/2

You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?

Answers

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

i need step by step help pls someone help me and quick!

Answers

Answer:

i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling

What is the greatest common factor (GCF) of 20 and 28​???
A. 6
B. 4
C. 2

Answers

Answer:

B, 4

Step-by-step explanation:

The greatest common factor of 20 and 28 is 4

16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17

Answers

the answer is d . 17
The answer to this question is C

pls help ASAP. 3+4√6÷√3+√2​

Answers

Step-by-step explanation:

[tex] \frac{3 + 4 \sqrt{6} }{ \sqrt{3 } + \sqrt{2} } = \frac{3 + 9.798}{3.146} = \frac{12.798}{3.146} = 4.068 = 4.07[/tex]

Select the correct answer.

Factor the given expression.

x2 + 16x + 64


A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2

Pls help will give brainliest if the answer it right

Answers

Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.

Answers

The equation of population of Laredo, Texas is :

-  [tex]p=\frac{92500}{17}t+123000[/tex]

"Population Growth"

Given:

t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).

Using point slope formula:

point slope= [tex]\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000[/tex]

Learn more about "population growth":

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If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.

Answers

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

what is y=3/4x-2 in standard form

Answers

Answer:

Hi! The correct answer is 3x-4y=8

Step-by-step explanation:

Answer this from male and then down or in a row make it clear winner gets brainliest

Answers

Answer:

Hope it helps u

Step-by-step explanation:

 Check this image it contain ur part a

for part b post this question    again then tag me i will solve it properly for u for any doubt just ask ok!!!!!!

Answer:

white male=14white female=7black male=18black female=9total male=32total female=16total rabbits=48

hope it helps.

To factor a linear expression, look for___ that have terms in common

Answers

Answer: Expressions or equations, im not sure which

Step-by-step explanation: There isn't really one

What is the area of the rectangle
A)60 sq. in.
B)40 sq. in.
C)20 sq. in.
D)28 sq. in.

Answers

Answer:

B) 40 sq. in

Step-by-step explanation:

4 times 10 = 40

B)40 sq. in.

A = L • W
A= 4 • 10

Help needed! What is the amplitude of this graph and given there are no other transformations, write the equation of this cosine function? comment if you can't help so I know please!​

Answers

Amplitude is 4

I don’t know the cos function, sorry :(

what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles​

Answers

Answer:

6/32 or 3/16 chance

Step-by-step explanation:

Adding all of the marbles up we get our total, 32.

We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.

Answer:

6/32 or u can simplify it to 3/16

Plzzzzz give me Brainliest!!!!!  

Julie wants to buy tulip bulbs to plant. Each bulb costs $0.50 plus a one-time $4.50 shipping cost. She has $22 to spend.
Write an equation to determine how many bulbs b Julie can buy have shipped.

Answers

Answer:

0.50 x 4.50 = 69.42.00 and 22 = 47.420.00

Step-by-step explanation:

47.420.00

Y + 2 = -3/4 ( x +1 )

Answers

Answer:

Step-by-step explanation:

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