License plates in a particular state display 22 letters followed by 44 numbers. how many different license plates can be manufactured for this state?

Answers

Answer 1

Since there are 26 letter choices for the first spot, and 26 for the next, etc. we get 26^22 for the first 22 letters. For the 44 numbers, we have 10^44 due to that there are 10 options for the first number, and it doesn't matter what it is - there's still 10 options for the next number. In addition to that, for each number you put in the first slot, there are 10 ways to put numbers in the second slot, etc..

26^22*10^44 is your answer due to that if you think of it as 2 numbers in a row at this point, there are 10^44 different numbers for each different letter change in those 26^22.

Answer 2

The number of unique license plates are [tex]26^{22}[/tex] for the letters and [tex]10^{44}[/tex]for the numbers, then multiply the two results.

Each letter on the license plate can be any one of the 26 letters in the English alphabet.

So, for 22 letters, the total possible combinations are calculated as:

[tex]26^{22}[/tex]

Each number on the license plate can be any one of 10 digits (0 through 9).

So, for 44 numbers, the total possible combinations are calculated as:

[tex]10^{44}[/tex]

So, the total number of different license plates can be found by multiplying these two results:

Total combinations = [tex]26^{22}[/tex] × [tex]10^{44}[/tex]

Related Questions

25900.1000 in scientific notation

Answers

259001 x 10^4 is the answer

The number 25900.1000 in scientific notation = 25.9001 x 10^7

The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.

Answers

Firstly, you'll want to form an equation:

a+b+c=d

To make it simpler, let's just say that 'a' is the largest integer

In that case, d-50=a

I could give you some convoluted equation to find your integers but honestly, checking and guessing is easier.

I just ran through a couple sets of numbers in my brain, although I'd suggest actually writing down your thought process.

These are the integers I got:

20, 30, and 50

Keep in mind, however, that there are multiple correct answers to this problem.

Find the midpoint of modifying above AB.

(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)

Answers

AB is a segment defines by the two points A and B.

Say the coordinates of the point A are (a1, a2) and the coordinates of point B are (b1,b2).

The midpoint is found using this.

x = (a1+b1)/2 and y = (a2+b2)/2

So, the coordinates of the midpoint are (a1+b1)/2 , (a2,b2)/2.

With that you can solve your question known the coordinates of points A and B.

Answer: Im guessing B. (1.5, 1.5)

Once I enter my test ill come back and edit.

Its correct! good luck on your test! :)

Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.

Answers

Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
[tex] \frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859[/tex]

Answer: 7.7759 x 10⁻¹ times

Final answer:

Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.

Explanation:

The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.

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Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?

Answers

[tex]\bf \begin{cases} 2y=8x+4\\ \qquad y=\cfrac{8x+4}{2}\\\\ \qquad y=\stackrel{slope}{4}x+2\\\\ y=\stackrel{slope}{-\cfrac{1}{4}}x \end{cases}[/tex]

now, looking at the first set, notice their slopes... are they the same? no.. ok, that means they're not parallel then.

are they perpendicular? well, only if their slopes are negative reciprocal. let's check

[tex]\bf slope\implies 4\implies \cfrac{4}{1}\qquad negative\implies \cfrac{-4}{1}\qquad reciprocal\implies -\cfrac{1}{4}[/tex]

low and behold, the negative reciprocal of 4 is the slope of the second equation, so they ARE indeed perpendicular.

now, let's check the second set.

[tex]\bf \begin{cases} 2x-3y=12\\ \qquad 2x-12=3y\\\\ \qquad \cfrac{2x-12}{3}=y\\\\ \qquad \stackrel{slope}{\cfrac{2}{3}}x-4=y\\\\ y=\stackrel{slope}{2}x+5 \end{cases}[/tex]

notice their slopes, are they the same slopes? no, so they're not parallel then, are they negative reciprocal of each other? well, negative reciprocal of 2 is -1/2, so no, they're not, so they're not perpendicular.

well, then, but the slopes differ, that means, they do intersect somewheres, not at a right-angle, but they do, so they're only intersecting.

btw, a coincident set, will be when both are exactly the same equation, none of them on either set are.

A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes

Answers

1292.6349
Simply take 1389.93 x 0.07 = 93.something
subtract 93.something from 1389.93 and bam!
Ans = 1292.6349

Answer:

Cost of the computer before taxes is $1299.

Step-by-step explanation:

Let the price of the computer before taxes is = $x

Tax rate on this computer = 7%

Therefore, computer cost including tax = (x + 7% of x)

= [tex]x+\frac{7x}{100}[/tex]

= x + 0.07x

= $(1.07x)

Cost of the computer including tax is given as $1389.93.

Therefore, 1389.93 = 1.07x

x = [tex]\frac{1389.93}{1.07}[/tex]

= $1299

Cost of the computer before taxes is $1299.

Please help! I am confused

Answers

I would say the 60 + 20 represents how the shirts cost the same amount. Then I would say the x either represents the cost before tax or how to find the cost of the shirts.

I hope this helps!
Good Luck!

The cost of jeans is represented by 60 since they only bought one pair and the 20x represents the cost of the shirts because we don't know how many shirts she bought and x represents how many shirts she bought.

HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?

Answers

The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 degrees the third angle in any triangle is 180 degrees minus the other two angle measures

if x=6 can the <'s be supplementary
I completely messed up and need help...

Answers

If x = 6, then the value of 10x+46 is...
10*x+46 = 10*6+46 = 60+46 = 106
So the angle on the left is 106 degrees

If x = 6, then the value of 12x+14 is...
12*x+14 = 12*6+14 = 72+14 = 86
The angle on the right is 86 degrees

In summary so far, we have
(10x+46) degrees change to 106 degrees
(12x+14) degrees change to 86 degrees

Adding up the two angles would lead to 106+86 = 192

The result is not 180 so the angles cannot be supplementary.

Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?

Answers

First divide 3.5 by 2 which equals 1.75. Then do 1.75*3 which equals 5.25. So he drinks 5.25 liters in one hour.

3.5 divided by 2/3
convert 3.5 to 3 and 1/2 then to 7/2

(7/2)/(2/3)
remember that
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex]

so
[tex]\frac{\frac{7}{2}}{\frac{2}{3}}=\frac{(7)(3)}{(2)(2)}=\frac{21}{4}=[/tex]
[tex]\frac{20}{4}+\frac{1}{4}=[/tex] 5 and 1/4 liters per hour or 5.25 liters per hour

jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check

Answers

One hundred dollars & 42/100

One hundred dollars and 42/100------------------------------------------------------------

Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Answers

Final answer:

The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.

Explanation:

The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:

If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.

So, the argument is valid and the conclusion is correctly drawn from the premises.

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Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?

Answers

Angles in hex add up to 720.
complementary means 2 angles add up to 90
So we can subtract that from 720
that means the remaining 4 angles = 630
630/4 = 157.5

what would 6x-4=10 be?

Answers

6x-4=10
6x=14
x = 14/6
x=7/3

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)

Answers

Alright

This equation models a circle with a center of (-2 , 3) and a radius of 9

To check the point (6,3) how far is it from the center (-2,3):

using the distance formula:
[tex] \sqrt{(3-3)^2+(-2-6)^2} = \sqrt{0+8^2} = \sqrt{64} =8[/tex]

therefore, this point lies INSIDE the circle, not on it nor outside it.

It is an interior point.

Evaluate A2 for A = -3.

Answers

If you are solving A^2 then the answer is 9.
Or If you are solving A•2 then the answer is -6.

Answer: The required value of A² is 9.

Step-by-step explanation: We are given the following value of a variable A :

[tex]A=-3.[/tex]

We are to find the value of [tex]A^2.[/tex]

To evaluate [tex]A^2,[/tex] we need to multiply A and A.

Therefore, the evaluation is as follows :

[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]

Thus, the required value of A² is 9.

Find the equation of a circle which is tangent to x-axis and whose center is at (4,2)

Answers

hello :
an equation x-axis is y= 0
the ridus is the distance betwen the center and x-axis :
r = |(0)(4)+(1)(2)+0 |/√((0)²+(1)²) = 2/1 =2

an equation of the circle is : (x- 4)²+(y-2)² = 4

Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π

Answers

The area is 200.96 square inches

Answer:

200.96 square inches

Step-by-step explanation:

I took a quiz with this question and I got an A

Which of these is equal to the value of 9-(-5)?

Answers

Since the parenthesis essentially mean -1 multiplied by whatever is in parenthesis, and a negative number multiplied by a negative number is positive, we have 9+(-1)*(-5)=9+5=14

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

Answers

Add the 2 equations to eliminate the 2y. We get

2x = 6

x = 3

Plug x = 3 into the first equation:-

3 + 2y = 7
2y = 7 - 3 = 4

y = 2

Answer is x = 3 and y = 2

The solution of the system of equations is (3, 2)

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given is a system of equations,

x + 2y = 7......(i)

x - 2y = -1

x = 2y - 1.....(ii)

Put eq(ii) in eq(i)

2y-1+2y = 7

4y = 8

y = 2

Put y = 2 in eq (ii)

x = 2(2)-1

x = 4-1 = 3

Hence, the solution of the system of equations is (3, 2)

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Which property is NOT used when solving 15=2x-1

Answers

Final answer:

The associative property is not used when solving the given equation.

Explanation:

The property that is NOT used when solving the equation 15=2x-1 is the associative property.

The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.

Thus, the answer to the equation is:
15 = 2x - 1

Solving for x:
15 + 1 = 2x

16 = 2x

Divide both sides by 2:
16/2 = x

8 = x

Reading left to right, a negative slope looks like a line going ________, while a positive slope looks like a line going ________.

Answers

A negative slope goes down and a positive slope goes up

Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)

Answers

Carletta works at the rate
x = (1 board)/(12 hours) = 1/12 mb/hr

Johnathan works at the rate
y = (1 board)/(16 hours) = 1/16 mb/hr

The combined working rate is
1/12 + 1/16 = 7/48 = 0.1458 mb/hr

The time to build a mother board (mb) when working together is
(1 mb)/(0.1458 mb/hr) = 6.8587 hrs = 7 hours (nearest hour)

Answer: 7 hours

3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.

Answers

Company A offer
2,432×24(semimonthly)
=58,368 per year

Company B offer
2,390×26 (biweekly)
=62,140 per year

So company B pays a greater annual salary

Hope it helps!

Transformations of polynomial functions

Answers

g(x)= x^2-2
Since the 2 is outside the parentheses (or there are no parentheses in this case) then it will simply be a vertical translation 2 units down.

g(x)= (x+4)^2
Since the 4 is inside the parentheses then we know the translation will be horizontal. When translating horizontally a + sign indicates translating left and a - sign indicates translating right. So this would be a Horizontal translation 4 units left.

~I hope this helps!~

The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.

Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.

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Kelly has $25 in her purse, and Dante has d dollars in his wallet.
Which algebraic expression represents the total amount that Kelly and Dante have?
A: d-25
B:25d
C:25-d
D:25+d

Answers

D
you are adding the dollar amounts of both to find the total between the 2

Answer:

Option D: 25 + d

Step-by-step explanation:

Kelly is having money in her purse = $25

Dante has in his wallet = $d

By adding both value we can get the total amount that Kelly and Dante have.

Therefore, 25 + d is the expression that represents the total amount that Kelly and Dante have.

Option D: 25 + d is the answer.

martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.

Answers

hi!

Martin = m
Natalie = n

m + 2 = n - 3 m - n = -5
m +n = 29

Solving a system of equations:

m-n=-5
m+n=29

2m = 34
m = 17

So, n is 22

Hope this helps!

The penny size d is given by the literal equation d = 4n - 2, solve for n

Answers

Thanks for your question!

d = 4n -2
d + 2 = 4n
(d+2)/4 = n

Hope this helped!

What's 17= z- (-9) days

Answers

z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore
17 = z - (-9)
is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8

So the answer is z = 8

---------------------------

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out

The calculated value of z in the equation 17 = z - (-9) is 8

How to determine the value of z in the equation

From the question, we have the following parameters that can be used in our computation:

17 = z - (-9)

When the bracket is evaluated, we have

17 = z + 9

So, we have

z = 17 - 9

Evaluate

z = 8

Hence, the value of z in the equation is 8

a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.

Answers

10.936
54.68*12=656.16
656.16/60=10.936

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License plates in a particular state display 22 letters followed by 44 numbers. how many different license plates can be manufactured for this​ state?

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License plates in a particular state display 22 letters followed by 44 numbers. how many different license plates can be manufactured for this state?