math state test review

Answer:

Sure, I'd be happy to help you with these problems!

Simplifying square root expressions:

√121 = 11

The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).

√48 = √(16*3) = √16 * √3 = 4√3

The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.

Simplifying cube root expressions:

3√81 = 3√(3^4) = 33 = 9

The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).

3√(-64) = 3√(-444) = 34√(-4) = 12i√2

The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.

1. √121:

To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.

Since 11 is a whole number, it is considered a rational number.

2. √48:

To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.

Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.

The simplified form of √48 is 4√3.

Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.

Now let's simplify each cube root expression and describe the simplified form as rational or irrational.

3. 3√81:

To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.

Since 4 is a whole number, it is considered a rational number.

4. 3√-64:

To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.

Since -4 is a whole number, it is considered a rational number.

In summary:

- √121 simplifies to 11, which is a rational number.

- √48 simplifies to 4√3, which is an irrational number.

- 3√81 simplifies to 4, which is a rational number.

- 3√-64 simplifies to -4, which is a rational number.

Answer: 2 1/2

Step-by-step explanation:Chelsie has 2 1/2 countainers to put her special designer fabric that is 6 1/2 inches long. Chelsie currently has 2 copies. how many inches long is both fabrics?

Answer: 2 1/2

Step-by-step explanation:

An equation that could be used to determine the number of books that Keiko bought include the following: B. 4b - 5 = 71.

The number of books is equal to 19 books.

In order to write a linear equation to describe this situation, we would assign a variable to the number of books, and then translate the word problem into a linear equation as follows:

Let the variable b represent the number of books.

Since Keiko bought some books for $4 and received a discount of $5 off of her total purchase, a linear equation that models the situation is given by this mathematical expression:

4b - 5 = 71

Next, we would calculate the number of books (b) as follows;

4b - 5 = 71

4b = 71 + 5

4b = 76

b = 76/4

b = 19 books.

Read more on equation here: brainly.com/question/18912929

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Answer:[tex]X < \frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} +x < \frac{5}{6}[/tex]

[tex]X < \frac{7}{12}[/tex]

Answer:

A universal theme is an idea that applies to anyone regardless of cultural differences or geographic location. Universal themes are ways to connect ideas across all disciplines. It is a central idea about the human condition.

Step-by-step explanation:

Answer: up to 120 pieces

Step-by-step explanation:

Answer:

Step-by-step explanation:

the output is 1.5

The value of x is:

Solution:

If two angles are supplementary, that means that the sum of their measures is 180°.

We're given 2 angles:

And since they're supplementary, the following holds true:

[tex]\sf{\angle m + \angle n = 180}[/tex]

Next, we know that [tex]\sf{\angle m=34}[/tex], so we plug that in

[tex]\sf{34+\angle n = 180}[/tex]

Then, ∠n = 2x:

[tex]\sf{34+2x=180}[/tex]

Which is the same as

[tex]\sf{2x+34=180}[/tex]

Subtract 34 from each side

[tex]\sf{2x=146}[/tex]

Divide each side by 2

[tex]\sf{x=73}[/tex]

Answer:

84

Step-by-step explanation:

Find the area of the above rectangle (10*6 = 60)

Find the area of the middle rectangle (4*3 = 12)

Find the area of the lower rectangle (2*6 = 12)

Add up the areas: 60 + 2(12) = 84

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:
A: 9w-126=45

B: +126 +126, 9w=171

Step-by-step explanation:

Answer:

48.3

Step-by-step explanation:

multiply 7by 2.3 then multiply the whole thing by3 and that’s your answer

Answer: 48.3

Step-by-step explanation:

Answer: x=2.519842

Step-by-step explanation:

Rewrite the equation as x3+2=18

Then subtract 2 from both sides

x3=16

Lastly take the cube root

X=(16) (1/3)

X=2.519842

Answer:

1. c. 276ft

2.56ft

Step-by-step explanation:

1. I took the length and multiplied that by the width to get the area

2.

Answer:

1. C

2. D

Step-by-step explanation:

For question 1 you would multiply 23 by 12 because the area of a rectangle is base * height. To get 276 which is C.

For question 2 you would find the area by doing 1/2(b*h) or 1/2(7*4) which equals 14. To find the area of 4 triangles you would then do 14*4 which equals 96.

Inequality Notation: x<1

And then on number line:

(in image)

May I please have brainliest? :))

x < 1

5x/5 < 5/5

1. divide both sides by the same factor

2. Cancel terms that are in both the numerator and denominator

3. Divide the numbers

Answer:

X=-6 and X=0

Step-by-step explanation:

I will solve this by factoring.

Factor x(x+6)=0 into to equations: X=0 and x+6=0.

Move the 6 to the other side which will make it negative and their is nothing to do with x=0.

So the final answer is X=-6 and X=0.

Answer:

x = 0 , x = -6

Step-by-step explanation:

The equation x(x+6) = 0 can be solved using the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So we can set each factor ( "x" and "x+6") equal to 0 and solve for x

Factor #1

x = 0

Factor #2

x + 6 = 0

==> subtract 6 from both sides

x = -6

We can now substitute the values of x into the original equation to check our work

x(x+6) = 0

==> plug in x = 0

0(0+6) = 0

==> simplify addition within parenthesis

0(6) = 0

==> multiply 6 and 0

0 = 0

x(x+6) = 0

==> plug in x = -6

-6(-6 + 6) = 0

==> add -6 and 6

-6(0) = 0

==> multiply -6 and 0

0 = 0

Both values of x satisfy the equation therefore the values of x are indeed -6 and 0

Learn more about the zero product property here :

https://brainly.com/question/4893812

Answer:

a circle

Step-by-step explanation:

they would become smaller and possibly more accurate or possibly less accurate - depends on what the definition is for outlier in this study.

Answer:

The answer to your problem is, D. Yes, because 2 + 3 = 5.

Step-by-step explanation:

Refer to the converse of the pythagorean theorem. We need to have both sides equal to each other to have a right triangle.

So we need to have:

[tex]a^{2} + b^{2} = c^{2}[/tex]

We would need to fill out the problem and replace A, B, and C. Which leads to either being B or D

The longest side is the hypotenuse and the value of c.

Thus the answer to our problem is, D. Yes, because 2 + 3 = 5

Answer:

D.

Step-by-step explanation:

you can count and check but yea

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B

Answer:

2167

Step-by-step explanation:

2166.8 is a 97% decrease of 72227.

Answer:x=29

Step-by-step explanation:

x+3+x-1+x+1=90

3x+3-1+1=90

3x+3=90

3x=90-3

3x=87

x=87/3

x=29

Connect the points and find the distances. Then match them up with one of the answers till you get the right one.

Answer:

1: x=21

2: x=18

3: x=40

4: x=-3

5:x=21

6: x=6

7: x=3

Step-by-step explanation:

Answer:

Q1=0.5 Q3=6

Step-by-step explanation:

To find the quartiles, we first need to put the data set in order from smallest to largest:

−8, −5, −1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 data points, so the median is the average of the 7th and 8th numbers, which is (2+4)/2 = 3.

Now we divide the data set into two halves, the lower half and the upper half, not including the median.

Lower half: −8, −5, −1, 0, 0, 1, 2

Upper half: 4, 4, 5, 5, 7, 9, 10

To find the first quartile, we take the median of the lower half of the data set. There are 7 numbers in the lower half, so the median is the average of the 4th and 5th numbers, which is (0+1)/2 = 0.5.

To find the third quartile, we take the median of the upper half of the data set. There are 7 numbers in the upper half, so the median is the average of the 4th and 5th numbers, which is (5+7)/2 = 6.

Therefore, the first quartile is 0.5 and the third quartile is 6.