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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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WARRIOR [948]

Sketch  a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.

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For f(X)=2x+1 and g(X)=x^2,find (f-g)(X)
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The answer for f(x)-g(x) is -x^2+2x+1.The solution can be obtained by use of concept of functions.

<h3>What is a function?</h3>

A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.

We can perform addition and subtraction operations on functions.

The given function f(x) and g(x) are

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The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the pla
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Answer:

a)

Speed at Equator = 463.97 meters per second

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b)

Speed at 30 degrees north of equator = 401.79 meters per second

Centripetal Acceleration at 30 degrees north of equator = 2.92*10^{-2} meters per second squared

Step-by-step explanation:

The formula is:

v=\frac{2 \pi R}{T}

Where

v is speed

R is radius

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and another formula for centripetal acceleration:

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Now,

a)

at equator, the radius is radius of earth (given), time in seconds is

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THus,

v_E=\frac{2 \pi (6.38*10^{6}}{86,400}=463.97

Speed at Equator = 463.97 meters per second

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b)

At 30.0° north of the equator:

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Now,

Speed = v_{30N}=\frac{2 \pi (5.53*10^6)}{86,400}=401.79

Speed at 30 degrees north of equator = 401.79 meters per second

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Centripetal Acceleration at 30 degrees north of equator = 2.92*10^{-2} meters per second squared

4 0
3 years ago
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