2. Explain how the order of operations determines how you simplify a numeric expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.

Answers

Answer 1

Answer: P-paratheses (do any math that has parentheses around the numbers) y=(2x5)+25
E-exponents (do the exponents next) y=(2x5)+5^2
M-multiplying. (Basically everything is self explanatory from here to then cuz im lazy to list examples)
Just basically if you don't use PEMDAS, you'll get the wrong answer

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The missing number in the series 9, ____, 6561, 43046721 is:

7x - 3y = 4 2x - 4y = 1 Which of the following system of equations is not equal to the system of equations shown above?

Answers

This is the system given by you: a) 7x - 3y = 4 and b) 2x - 4y = 1

I will compare it with these three systems:

1) -28x + 12 = -16 and 28x - 56y = 14

You can check that if you mulitply the equation a) times - 4 and the equation b) times -14, you get the equations of this new system. Then the two systems are equal.

2) 28x - 12y = 16 and -6x + 12y = - 3

You can check that if you multiply the equation a) times 4 and the equation b) times - 3 you get the same equations of this system, then the two systems are equals.

3) 14x - 6y = 4 and -14x + 28y = 1

You can check that these equations cannot not be obtained from a) and b) then the systems are different.

You can solve both systems and you will obtaind different values for the xs and the ys.

Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

Answers

Answer: 4 years

Step-by-step explanation:

The exponential decay equation is given by :_

$y=A(1-r)^x$ , where A is the initial population and r is the rate of decay in x years .

The initial population of trout in a certain stretch of a river =4000

The rate of decay = 35% =0.35

To find the number of years (x) for the population of trout be 700, we put all the values of the above equation, we get

$700=4000(1-0.35)^x\n\n\Rightarrow700=4000(0.65)^x\n\n\Rightarrow (0.65)^x=(700)/(4000)\n\n\Rightarrow(0.65)^x=0.175\n\n\text{Taking log on both sides, we get}\n\n\Rightarrow x\log(0.65)=\log(0.175)\n\n\Rightarrow x(-0.187086643357)=-0.756961951314\n\n\Rightarrow x=(-0.756961951314)/(-0.187086643357)\n\n\Rightarrow\ x=4.0460502029\approx4\text{ years}$

4.97991230017 years is the final answer. I would suggest rounding your answer to the nearest tenth, so 5 years should be your correct answer.

Luis has about 700 baseball cards. What is the greatest amount of cards Luis could have that would round to 700

Answers

Answer:

if you are rounding to the nearest 100 the answer would be 749 baseball cards. if you are rounding to the nearest 10 the answer would be 704 cards.

Step-by-step explanation:

Do the data in the table represent a direct variation or an inverse variation? write an equation to model the data in the table. x 1 2 5 10

y 40 20 8 4

a. Direct variation; y=40x
b. Direct variation; y=(1/40)x
c. Inverse variation; xy=40
d. Inverse variation; xy=1/40

I feel so stupid for not knowing the answer, please explain it to me.

Answers

x =   1, 2, 5, 10
y = 40,20, 8,   4

a) y = 40x
y = 40(1) = 40   ; y = 40(2) = 80 ;
y = 40(5) = 200 ; y = 40(10) = 400

b) y = (1/40)x ;
y = (1/40)1 = 1/40 ; y = (1/40)2 = 1/20 ;
y = (1/40)5 = 1/8 ; y =(1/40)10 = 1/4

c) xy = 40 ⇒ y = 40/x
y = 40/1 = 40 ; y = 40/2 = 20
y = 40/5 = 8 ; y = 40/10 = 4

Inverse variation. Choice C. xy = 40  is the correct answer.

What is the square root of 5

Answers

√5 is √5!!!

It's irrational number.

2 < √5 < 3 because 2² = 4 < 5 < 3² = 9

√5 ≈ 2.236

A square root of a number is a value that can be multiplied by itself to give the original number.

√5 is √5

It is known as an irrational number.

An Irrational Number is a real number that cannot be written as a simple fraction.

Katie made a 1/2 gallon of lemonade. Each glass holds 1/2 a pint, how many glasses can she fill?

Answers

In one gallon, there are four quarts. Each quart holds two pints. Therefore, there are eight pints in a gallon. Because you are only talking about half a gallon, we only need half of eight pints, or four pints. If each glass holds half a pint, and there are four pints, she can fill eight glasses.

Hope this helped!! :))

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