whoch expression is equivalent to -20 - (-4)​

Answer:

(a) Set of rational numbers

(b) [tex]\pi + (-\pi) = 0[/tex]

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

[tex]1 - 2 = -1[/tex]

[tex]5 - 5 = 0[/tex]

[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]

[tex]4 - 2 = 2[/tex]

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

[tex]a -b = c[/tex]

Where

a, b, c are of the same set.

In the given options (a) to (d), only

[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:

[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational

In other words, they belong to different set

Answer:

The second statement is the

of the first.

X = у

y = x

A. contradiction

B. inverse contrapositive

C. inverse

D. converse

Step-by-step explanation:

imverse

The second statement is the contrapositive of the first.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that x → y is a conditional statement read as 'if x then q'.

And, The converse EXCHANGES the hypothesis and conclusion such as:

⇒ y → x

And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:

⇒ ¬y → ¬x

Coming back towards the question,

Given that;

x ⇒ y

¬y ⇒ ¬x

Therefore, The second statement is the contrapositive of the first.

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Answer:

There is no sufficient evidence

Step-by-step explanation:

The hypothesis :

H0 : μ = 436

H1 : μ < 436

Xbar = 433

s = 23

Sample size, n = 28

The test statistic :

(xbar - μ) ÷ (s/√(n))

(433 - 436) ÷ (23/√(28))

-3 ÷ 4.3465914

Test statistic = - 0.690

The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27

Pvalue = 0.248

Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

Answer:

904.78

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

T o show the inverse, the output becomes the input

The input is the output

The input is 2,4,6,8

The output is 1,3,5,7

They will also be in the same order so 1 went to 2 so 2 will go to 1

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

-----------------------

Method II

1 - .25 = .75

500 * .75 = 375

Answer:

355

Step-by-step explanation:

185+140= 325

325+20= 355

Answer:

30/185×100=

Step-by-step explanation:

30/140×100=

Answer

80 m^2

Step-by-step explanation:

basically 10 x 8 plus the value

Answer:

There is no mode in these set of numbers.

Seven students were surveyed on the amount of money they make per hour. The results are shown below: $8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50 for this given data there is no mode present in the dataset.

In statistics, the mode is a measure of central tendency that represents the most frequently occurring value in a dataset. It can be used to determine the typical or common value in a given set of data. In this case, we have the hourly wages of seven students, and we need to find the mode of this dataset.

To find the mode, we need to identify the value that occurs most frequently in the dataset. Let's list the data in ascending order:

$8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50.

From the given data, we can observe that no value is repeated. In this case, we say that there is no mode or the dataset has no mode. Since each student earns a different hourly wage, there is no single value that appears more frequently than the others.

Mathematically, we can represent the given dataset as a set of values: {8.00, 8.25, 8.50, 9.00, 9.25, 10.00, 10.50}. The mode, denoted as "Mode(X)", is the value(s) that occur(s) most frequently in the dataset X.

In this case, Mode(X) = None or Mode(X) = ∅ (empty set).

This indicates that there is no mode present in the dataset.

It is important to note that a dataset can have more than one mode or no mode at all. When there are two or more values with the same highest frequency, the dataset is said to be multimodal. In our example, since all values occur only once, there is no mode.

In conclusion, the mode of the given dataset, which represents the most frequently occurring value, is not applicable in this case as there is no value that occurs more frequently than the others.

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Answer:

the answers  is =-0

Step-by-step explanation:

is -0

Answer:

x≥10 or x∈[10, ∞)

Step-by-step explanation:

The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.

Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).

Answer:

Step-by-step explanation:

according to the Pythagoras theorem ,

SohCahToa

Soh - sine is opposite , hypotenuse

Cah -cos is adjacent , hypotenuse

Toa - tan is opposite, adjacent

from the diagram above , the tan is 8/15.

Hope this is helpful ,

have a nice day :-)

The surface area of a square pyramid is equal to: B. 64 m².

In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:

Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]

where:

For the height, we have:

6² = h² + (4/2)²

36 = h² + 4

h² = 32

h = √32

Height, h = 5.7 m.

By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;

Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]

Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]

Surface area of square pyramid = 64.33 ≈ 64 m².

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Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is [tex]x=\frac{9}{2}[/tex]

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer:

With What?

Step-by-step explanation:

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

Answer:

2x^2-9x+15

It is prime/unfactorable

Step-by-step explanation:

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

Answer:

Sulio needs 28 feet of fencing

Step-by-step explanation:

P= 2l + 2w

Length- 8 ft

Width- 6 ft

Use formula with the given:

2(8) + 2(6)

= 16 + 12

= 28

Therefore, Sulio needs 28 feet of fencing

Hope this helps

Answer:

a, b, c, d

Step-by-step explanation:

Answer:

[tex]\displaystyle x^\circ \approx 29.3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 45

Hypotenuse = 92

Step 2: Solve for x

Answer:

What grade math is this??

Step-by-step explanation:

Answer:92.1

Step-by-step explanation:

A=78+4.5

A=92.137166941154

A=92.1

Answer:

u & v = 8

Step-by-step explanation:

This triangle is a special 45-45-90 triangle!

In a 45-45-90 triangle, to solve for the hypotenuse use the formula

[tex]h=(sidelength)*\sqrt{2}[/tex]

Here we see that 8 is being multiplied by radical 2!

We can prove that 8 is the side length by using the Pythagorean Theorem!

Answer:what’s the question?

Step-by-step explanation: