In a certain province license plates have 2 upper case letters followed by 3 digits.  How many possible license plates are there?  (In this problem "^" denotes exponentiation, so 3^2 = 9 for example.)

Q: A month after launching, you notice a 0.0000197% decrease in plastic waste. Record this in…

A:

Q: The product rule for exponents states that b" · b" base, When multiplying exponential expressions…

A: Solution: Consider the given exponents: bm . bn We have a Product Rule for exponents  am . an = am+n…

Q: What is the hair measures 7.5x10-4 inches: express this in standard notation? What is 2.5x10-5…

A: What is the hair measures 7.5x10-4 inches: express this in standard notation? What are 2.5x10-5…

Q: What does the quotients to powers rule for exponents states?

A: Define Quotients to power rule for exponent states

Q: How would you write out the decimal .4507 in english? Our professor wants it in english and then in…

A: 0.4507

Q: How would you explain to students how to multiply345×678, assuming that they know and understand…

A:

Q: In the expansion of (3x + 2y) °, the term 90, 72028 yl2 is the 4th term 5th term O 7th term O 6th…

A:

Q: If 17th term of an AP exceeds its 10th term by 7 , Find the common differenc

A:

Q: Earlier this year, 240 caribou were caught and tagged. In a recent survey, 60 out of 350 caribou…

A: GivenThe total number of caribou tagged (population) =240The number of caribou caught this year…

Q: If 6th  term of GP is 9375 and its 4th term is 375.Find its 9th term

A:

Q: A scientist determined that the bones from a mastodon had lost 53,8% of their carbon-14. How old…

A: Given: A scientist determined that the bones from a mastodon had lost 53.8% of their carbon-14.…

Q: The formula N= 3x² + 5x + 1 represents the number of households N, in thousands (i.e. if the number…

A:

Q: 7. Use your definition of Exponential notation to prove the Exponent Law that says: 4 %3D x3

A:

Q: The exponential expression x* represents a repeated multiplication where x is to be written as a(n…

A:

Q: What is 48,978 written in scientific notation

A: We have to write 48,978 in scientific notation.

Q: how can i didvide a number that have an x on it for example 3x+5

A: Topic:- algebra  Lets assume (3x+5) divided by 6

Q: How can I quickly tell that x + 6x + 7 is prime?

A: Prime quadratic equation can not be factored or it can not have rational roots. In order to find if…

Q: In a certain province license plates have 2 upper case letters followed by 3 digits.  How many…

A: Let m be the event that the number of plates starts with A. Let n be the event that the number of…

Q: What is the middle term of the expansion (æ² – 4)* - 43750x^8 59080x^8 43500x^8 17920x^8

A: We will find middle term as

Q: Sx1-x₂ 76280- - 8722 10 10(10-1) -+59683- 7712 10 =

A: Solution-: We want to find value of Sx¯1-x¯2=?

Q: very third grade class has acert

A: The solution is given below

Q: What is one easy way to easily do Power To Power Exponents?

A: Power to power exponents.

Q: Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the…

A: Given: Our hearts beat=70 times per minute. The heartbeats over a lifetime of 80 years=x

Q: how would you input this on ti 84 plus

A: The sample means are 7.8 and 3.5.

Q: 336x-667946 multiplied by 0.12x+5 written in standard form

A: Given: 336x-6679460.12x+5 for finding given expression in standard from we multiply it and then…

Q: Integers with different values in each digit can be expanded in a similar way. For these integers,…

A: Let we have a number 5267843 This number can be expanded as…

Q: Rationalize the denominator (5)/(3)^1/2 O 15(3)^1/2]/3 O 5(3)^1/2 05 O (3)^1/2

A: Given information: 531/2

Q: How much work is required if six cables, each weighing 0.33 lb/in., lift a 10,000-lb elevator 400 ft…

A: work done = change in PE= cumulative work in lifting elevator and six cables 400 ft= 4800 inches…

Q: Why multiplication/division and addition/subtraction have different rules in terms of identifying…

A: If we add or substract zero from a number then it will give the same number. But when we multiply of…

Q: 8. Find Za/2 for a = 0.04.

A: Given, α = 0.04 α/2 = 0.02 Zα/2  is value found by z value corresponding to probability 1-α /2…

Q: Describe about powers-of-10 notation.

A: A power-of-10 notation also called scientific notation, is a method of writing extremely large and…

Q: What is the power of 10 when 75,200 is written in scientific notation?

A: The Given number is 75,200

Q: Is it easier to divide 3,600,000 by 0.0000012 when they are in decimal form or when they are in…

A: Divide3600,000 by 0.0000012

Q: Give an example of a number where there is no advantage in using scientific notation over decimal…

A: Scientific notation allows us to write very large  and very small numbers in simple form with…

Q: When a whole number is multiplied by 100, where is there a 0 in the product

A: Given:Whole number is multiplied by 100,Where is there a 0 in the product

Q: What is the last digit when you expand 3^2005 ?

A: Topic - exponents

Q: A bacteria culture started with 6500 bacteria and increased by 45% in the first 2 hours. (a) Find…

A: A bacteria culture started with 6500 bacteria and increased by 45% in the first 2 hours. (a) Find an…

Q: 15, ,11 Rewrite the radical expression Vx" rational exponent form.

A:

Q: How do I compute and express in scientific notation: 450,000 divided by 0.0009 and why is my final…

A: The given can be written as 450,000 ÷ 0.0009.Using notation simplify the numerator and denominator…

Q: Explain how to convert from decimal to scientific notation and give an example.

A: Convert decimal to scientific notation:  When we convert a decimal number into scientific notation,…

Q: What does the power rule for exponents states? Justify along with an example.

A: State power rule for exponents? Justify along with example

Q: How is the number 0.0000981 written in scientific notation?

A: We have to write in scientific notation

Q: The product rule for exponents states that bm . bn =_______ . When multiplying exponential…

A: Given, bm.bn we know that for multiplying two exponential term for we have to check the two…

Q: Explain the negative-exponent rule and give an example.

A: Negative exponent Rule : The rule states that if there is a negative power for a base in the…

Q: How can I quickly tell that x2 + 6x + 7 is prime?

A: a prime quadratic equation can not be factored or it can not have rational roots.

Q: the student noticed that if he writes a multiplication sign between the second and third digit of…

A:

Q: Describe a way (using equations) that you could calculate 602 – 78 mentally without using the…

A: from the first impression of the question, the strategy I use to solve mental maths by rounding the…

Q: Compute the following problem using scientific notation in you calculator.   (9.001E6)^2   note: the…

A: According to the given problem the expression whose value is to find is:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.