Which of the following expressions are equivalent to 16a³b²-8a565 +12a4b? Select all that apply.4a³b (4b-2a²b4 +3a)
2ab (8a²b-8a¹b² +6a³)
4a³65 (4a²b³-2+3ab¹)
2a²b (8ab-4a³b4 + 6a²)
4b (4a³b-2a564 +3aª)
2a (8a³b²-4a¹b5 +6a¹b)
Answers
The expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:
4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
We can use the distributive property of multiplication to check if the expressions are equivalent to 16a³b²-8a⁵b +12a⁴b.
Let's simplify each expression and see if we can rewrite it in the form of the given expression:
4a³b (4b-2a²b⁴ +3a)
4a³b (4b-2a²b⁴ +3a)
= 16a³b² - 8a⁵b + 12a⁴b
This expression is equivalent to the given expression.
2ab (8a²b-8a¹b² +6a³)
2ab (8a²b-8a¹b² +6a³)
= 16a³b² - 16a³b + 12a⁴b
This expression is not equivalent to the given expression.
4a³65 (4a²b³-2+3ab¹)
4a³65 (4a²b³-2+3ab¹)
= 16a³b² - 8a⁵b + 12a⁴b - 8a³
This expression is not equivalent to the given expression.
2a²b (8ab-4a³b4 + 6a²)
2a²b (8ab-4a³b4 + 6a²)
= 16a³b² - 8a⁵b + 12a⁴b
This expression is equivalent to the given expression.
4b (4a³b-2a⁵b⁴ +3aª)
4b (4a³b-2a⁵b⁴ +3aª)
= 16a³b² - 8a⁵b + 12a⁴b
This expression is equivalent to the given expression.
2a (8a³b²-4a¹b5 +6a¹b)
2a (8a³b²-4a¹b5 +6a¹b)
= 16a³b² - 8a⁵b + 12a⁴b
This expression is equivalent to the given expression.
Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:
4a³b (4b-2a²b⁴ +3a)
2a²b (8ab-4a³b⁴ + 6a²)
4b (4a³b-2a⁵b⁴ +3aª)
2a (8a³b²-4a¹b⁵ +6a¹b)
So, we select options 1, 4, 5 and 6.
Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are: 4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)
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A))))). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
(There is a graph to fill out here) (It is the attached media)
B))))). What is Miguel’s expected value from playing the game?
C))))). Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays?
D))))). What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Answers
Answer:the anser is a
Step-by-step explanation:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
If the first sock is not replaced, how many possible outcomes are there?
How many of these outcomes contain a matching pair of socks?
Answers
Answer:If the first sock is not replaced, how many possible outcomes are there? 12
How many of these outcomes contain a matching pair of socks? 4
Step-by-step explanation:
Answer:
the first one is 12 and the last one is 4
Step-by-step explanation:
i got i right
container uses 2/3 a pound of tomatoes?
(The picture has the answers)
Answers
Answer:
C
Step-by-step explanation:
Total amount of tomatoes ÷ one container of tomatoes = No. of salsa made:
÷
=
×
(To change the ÷ sign to ×sign, swap the denominator and the numerator of the second fraction)
=
= 5
Answers
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?
Answers
650 is the number of cannonballs. It typically fires a projectile propelled by an explosive chemical.
What is cannonballs?
A cannon constitutes a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical. Prior to the development of smokeless powder in the late 19th century, gunpowder (sometimes known as "black powder") served as the main propellant.
Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower. A large artillery weapon is a cannon.
By utilizing the formula of a square pyramid,
n(n+1)(2n+1)/6
12(12+1)(2(12)+1)/6
12(13)(25)/6
2*13*25
=650
Therefore, 650 is the number of cannonballs.
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Answer: The correct answer would be 164(c)
Step-by-step explanation:
You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish
Army in Sevilla in the year 1842. Outside your barracks window is a stack of
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?