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denis23 [38]
1 year ago
7

Explain how to find the absolute value of a number.

Mathematics
1 answer:
kykrilka [37]1 year ago
5 0
The correct answer is C. Absolute numbers should always yield a positive value. Other choices doesn’t do that. Measuring the distance on a number line ensures the positive value without changing the magnitude of the number given.
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Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
Read 2 more answers
Given the following statistics for women over the age of 50 entering our medical clinic: 1% actually have breast cancer 90% of t
vazorg [7]

Answer: 91.2%

Step-by-step explanation:

Of the 1% of women that have breast cancer, 90% of those are tested positive with 8% of those being false positive. 8% of 90% is 8.8% so 91.2% chance.

4 0
3 years ago
Please Help.. !!!!! i need to show my work too. Brainliest accompanied!
Oliga [24]
Okay so this problem basically is saying if the value is 90000 and per every 1000 she has to pay 31$ in tax

So first divide $90,000 by $1,000 you should get 90
Now you can do 90 times $31 to find how much tax she will have to pay which equals $2,790 tax total
4 0
3 years ago
Does the set of ordered pairs {(5,13), (6,12), (7,11) (9,9) (10,11)} define a function?
Tcecarenko [31]
The answer is B: Yes because each input has only one output
4 0
2 years ago
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Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte
Elza [17]

Answer:

  1. $8000 at 1%
  2. $2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

__

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

  0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

  0.09x +100 = 280

  0.09x = 180 . . . . . . . subtract 100

  x = 2000 . . . . . . divide by 0.09

  10000 -x = 8000 . . . . amount invested at 1%

<h3>1.</h3>

$8000 should be invested in the 1% account

<h3>2.</h3>

$2000 should be invested in the 10% account

5 0
2 years ago
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