Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrational number to the nearest hundredth.

Answers

Answer 1

Answer: A rational number is a number that can be expressed in a ratio between two numbers while an irrational number cannot. An example of rational between 5.2 and 5.5 is 5.3. An example of an irrational number between 5.2 and 5.5 is √28 which approximately equal to 5.29

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T. -8m + 7n - 3 -8m - 7n - 3 8m + 7n - 3 8m - 7n - 3

Factor the expression on the left side of the equation. Then solve the equation.x³ - 2x² - 5x = 0

-5, 0, 3
0, -1 ± √24
0, -1 ± √6
0, 1 ± √6

Answers

x³ - 2x² - 5x = 0

First, take common factor:

x(x^2 - 2x - 5 )= 0

Now use the quadratic formula to find the roots of the trinomial

x = [- b +/- √(b^2 - 4(a)(c)] / 2a

$x = (2 +/- √(4 -4(1)(-5)) )/(2)$

x = [2 +/-2√6 ]/2

x = 1 + √6 and x = 1 -√6

Then the solutions are:

x =0; x = 1 + √6; x = 1 - √6

That is the las option shown.

Find the probability of each event. Answer IN FRACTION form.A jar contains eight black buttons and five brown buttons. If eight buttons are picked at random, what is the probability that all of them are black?

Answers

Answer:

= 8/6435

Step-by-step explanation:

Number of black balls = 8

Number of Brown balls = 5

Total number of balls = 8+5 = 13

Pr (8 balls picked at random are black ) =

Number of black balls / Total number of balls.

1st Pr ( 8 balls picked are black) = 8/13

Pr (2nd random pick) = 7/12

Pr (3rd random pick) = 6/ 11

Pr (4th random pick) = 5/10

Pr (5th random pick) = 4/9

Pr (6th random pick) = 3/7

Pr (7th random pick) = 2/6

Pr (8th random pick) = 1/5

Pr (8 balls picked at random are black ) = 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/7 * 2/6 * 1/5

= 8/13 * 7/12 * 6/11 * 1/2 * 4/9 * 3/7 * 1/3 * 1/5

= 8/6435

But pls note, I solved it such that there wasn't a replacement after each pick.

Math is fun

A bowl contains 50 jellybeans: 25 red jellybeans, 15 green jellybeans, and 10 yellow jellybeans. If you pick a jellybean without looking, what is the probability that you’ll pick a green jellybean?A) 1
B) 3/10
c) 1/2
D) 1/5

Answers

Answer:

B) 3/10.

Step-by-step explanation:

To calculate the probability of picking a green jellybean, we divide the number of green jellybeans by the total number of jellybeans.

There are 15 green jellybeans and a total of 50 jellybeans.

So, the probability of picking a green jellybean is 15/50, which simplifies to 3/10.

Is 1,1,2,3 an Arithmetic Sequences

Answers

no because it need to be like in order to make the point to your number it can't repeat again the same number !! V:)

well i am from cape girardeau and my math teacher said that arithmetic numbers and stuff they have to be big numbers like 100,200 stuff like that

Solve the rational equation

1/x+3/8=1/4

Answers

Step 1: Subtract 3/8 from both sides
1/x+3/8-3/8=1/4-3/8
1/x=1/4-3/8

Step 2: Multiply 1/4 by 1/2
1/x=(1/4)(1/2)-3/8
1/x=2/8-3/8

Step 3: Subtract
1/x=-1/8

Step 5: Multiply by x on both sides
1/x(x)=-1/8(x)
1=-1/8x

Step 6: Divide -1/8
1/(-1/8)=-1/8x/(1/8)
*You can times flip
1(-8)=-1/8x(8)
-8=-x
*Divide by -1
-8/-1=-x/-1
8=x

Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.A system of equations. x plus 5 y equals 21. x plus y equals 9.

The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.

A coordinate grid showing Garden Produce with Batches of Salsa on the x axis and Batches of Tomato Sauce on the y axis and two lines. The first line passes through (0, 9) and (6, 3). The second line passes through (1, 4) and (6, 3).

Which statement is true about the graph?

Mike can make 3 batches of salsa and 6 batches of tomato sauce using all of his garden produce.
Mike can make 3 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
Mike can make 6 batches of salsa and 9 batches of tomato sauce using all of his garden produce.

Answers

Answer:

C)Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.

Step-by-step explanation:

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What is the inverse of the logarithmic function f(x)= log2x.

Plz help i'll mark u brainliest