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3 years ago

Can an answer be incorrect even if it looks reasonable?

Mathematics

1 answer:

Anna [14]3 years ago

3 0

Answer:

<em>Yes, an answer can be incorrect even it it looks reasonable.</em>

Explanation:

Yes, an answer can be incorrect even if it looks reasonable, for two main reasons:

The assumptions (premises or statements) on which the reasoning is based are wrong.

The reasoning sounds good but it is a fallacy.

To avoid the first condition you must be sure about the facts, which may be information from an experiment that you performed or from a source. In order for an answer be correct, make sure your premises are true.

Dealing with the second condition, a fallacy is an argument that seems strictly logical but is misleading: you must learn which reasonings are really valid; this is, that the conclusion unequivocally follows from the premises.

There are rules for the arguments to be valid, and that is the object of logic study.

Fallacies are sometimes used by those interested in supporting a point of view without having true reason on their side. You should have some knowledges about logic to avoid being victim of the fallacies, which can drive you to make wrong decisions.

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OleMash [197]

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4 years ago

Angle D has what measurement according to the protractor?

Aliun [14]

Answer:

B. $90^o$

Step-by-step explanation:

We have been given a protractor and we are asked to find the measure of angle D.

We can see from our given protractor that the measure of angle D is 90 degrees as the ray OD crosses our protractor at 90 degrees.

Therefore, the measure of angle D is 90 degrees and option B is the correct choice.

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3 years ago

At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?

oksian1 [2.3K]

Answer:

( $\frac{4}{3}$ , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is $\frac{dy}{dx}$

differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$ , then

$\frac{dy}{dx}$ = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = $\frac{8}{6}$ = $\frac{4}{3}$

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3( $\frac{4}{3}$ )² + 2

= (3 × $\frac{16}{9}$ ) + 2

= $\frac{16}{3}$ + $\frac{8}{3}$

= $\frac{24}{3}$

= 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( $\frac{4}{3}$ , 8 )

3 0

2 years ago

Find the original length if the map length is of 5cm and whose map ratio is 1:10000.

Virty [35]

50000 units on ground length

5:x 1:10000
5/x=1/10000
50000=x
Would appreciate a brainlist ty :)

6 0

3 years ago

Read 2 more answers

Travis has decided to budget his spending money. He can spend no more

Oxana [17]

$x + 4.3x \leq 125.75$ is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75

<em><u>Thus, the inequality representing the situation is:</u></em>

$\text{ Amount spent on movies + Amount spent on video games } \leq 125.75$

$x + 4.3x \leq 125.75$

Thus the required inequality is found

6 0

3 years ago