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Bas_tet [7]
3 years ago
8

1. A state is considering adding another character to their vehicle license plates in order to increase the number of license pl

ates available. Currently, a license plate must have exactly six character spaces. Each character space may be filled with any capital letter other than I or O or any number between, and including, 0 to 9. Letters and numbers may repeat on the plates.
Will give brainliest btw

(a) How many different license plate numbers are available under the current structure of exactly six characters per plate? Show your work.

(b) If the state required all license plates to have exactly seven characters instead of six, how many different license plate numbers would be available with the additional character requirement? Show your work.

(c) How many times bigger is the set of license plate numbers with exactly seven characters than that with the set of six characters? Show your work.
Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer: Sorry if too late, but

24 letters in the alphabet excluding I and O= 22

22+9=31

(a)- 31x31x31x31x31x31=887,503,681

(b)- multiply 31 seven times (275,126,141 I think)

(c)- 31^7 divided by 31^6 = 31

Step-by-step explanation:

For more help use the last three slides on the link:

Download pdf
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Help!!!
Artyom0805 [142]

Answer:

  C:  y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:

  y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form

  y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C

5 0
3 years ago
What is the slope of the line that passes through the points (-7, -7) and (-7, 1) ?
ICE Princess25 [194]

Answer:

undefined

Step-by-step explanation:

(-7, -7) and (-7, 1)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(1 - (-7)) / (-7 - (-7))

Simplify the parentheses.

= (1 + 7) / (-7 + 7)

Simplify the fraction.

8/0

= undefined

Our line is a vertical line, which has an undefined slope.

Hope this helps!

6 0
3 years ago
Solve for (c).<br><br> 12c−4=14c−10<br> c= ?
kozerog [31]

Answer:

c=3

Step-by-step explanation:

do u need the explanation?

7 0
3 years ago
Read 2 more answers
Solve the equation in the complex number system.
tatiyna
To get rid of x^{3}, you have to take the third root of both sides:
\sqrt[3]{x^{3}} = \sqrt[3]{1}
But that won't help you with understanding the problem. It is better to write x^{3}-1 as a product of 2 polynomials:
x^{3}-1 = (x-1)\cdot (x^{2} +x +1)
From this we know, that x-1 = 0 => x = 1 is the solution. Another solutions (complex roots) are the roots of quadratic equation.
3 0
3 years ago
Read 2 more answers
Write 6.2 as a fraction and in word form.
nevsk [136]

6.2:

fraction: .2 = 0.20 = 20/100

fraction: 6 20/100

Word form: six point two

two and five hundredths

fraction: 2 5/100

decimal form 2.05

hope this helps

3 0
3 years ago
Read 2 more answers
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