All categories

3 years ago

Define logic and explain how it is used in math.

Mathematics

2 answers:

ipn [44]3 years ago

7 0

Logic is used in math to to prove a mathematical theory and/or fact.

mamaluj [8]3 years ago

3 0

Answer:

Logic is the study of how to critically think about propositions or statements that are either true or false.

Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.

Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.

Step-by-step explanation:

You might be interested in

11) x – 3y = 3 How do you graph it?

kvv77 [185]

Hey!

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

x – 3y = 3 is written in standard form. We can write in the slope-intercept form.

x - 3y = 3

x - 3y - x = 3 - x

3y = 3 - x

3y/3 = 3/3 - 3/x

y = 1 - 3/x

y = 1/3x - 1

Now, we know that the y-intercept is -1 and the slope is 1/3

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

Hence, the answer is $\Large\boxed{\mathsf{In~picture}}$

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

Hope This Helped! Good Luck!

8 0

3 years ago

Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean

Lyrx [107]

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

$\frac{82 + 78 + 93 + x}{4} = 81$

$253 + x = 324$

$x = 324 - 253$

$x = 71$

She needs a grade of 71 on her next text.

5 0

3 years ago

The question that says " a school has 1200 pupils "

Sonja [21]

How many girls like sports? well, what's 2/5 of 1200? well, is just their product, 2/5 * 1200.

how many boys like sports? well, what's 3/5 of 1200? 3/5 * 1200.

$\bf \cfrac{2}{5}\cdot 1200\implies \cfrac{2\cdot 1200}{5}\implies \cfrac{2400}{5}\implies \stackrel{girls}{480}
\\\\\\
\cfrac{3}{5}\cdot 1200\implies \cfrac{3\cdot 1200}{5}\implies \cfrac{3600}{5}\implies \stackrel{boys}{720}
\\\\\\
\textit{how many }\stackrel{students}{pupils}\textit{ like sports?}\qquad 480 + 720$

8 0

3 years ago

Electronics Unlimited sells TVs. There are 110 TVs on display in the showroom, and each TV is turned on to a random channel from

Lynna [10]

Answer:

Option B. There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.

Explanation:

There are a total of 7 sports channels and 4 non-sports channels out of 11 channels.

The probability that one TV will be not be showing a sports channel, P(not S), is:

P(not S) = number of non-sports channels / number of channels.

P(not S) = 4/11.

The best prediction on how many TVs will not be showing a sports channel is, the expected value, which is equal to the number of TVs mulitplied by P(not S):

P(not S) = 110 × 4/11 = 40.

Since this is a random variable, the expected value is not the exact number of TV but just a probability.

Hence, the answer is the option B: There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.

3 0

3 years ago

Read 2 more answers

quadrilateral abcd has diagnal ac represented by y= 2x+5 and bd represented by y=-1/2x-4 based on the slopes what can you tell a

MissTica

Eating my lunch break is gonna you wanna I was like a a little ninja but you didn’t want me to come to pick y’all lol I gotta is a time to go eat some lunch or later in my day or just let y’all go bye see y’all later love y’all and I have a a lot going on in my house I don’t have any hw I want y’all I want you can you guys come over and play it for like three minutes and I play ooooo you want me a big big house I don’t wanna is that iiiiiioooo was the night you got me a big play bye I love y’all so bye love y’all I love y’all so bye love y’all so I love you so bye love you too love y’all so bye love you too love y’all so bye love you bye love

6 0

3 years ago