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2 years ago

Given the exponential growth of scientific knowledge,

1 answer:

5 0

Given the exponential growth of scientific knowledge, medicine is far less (C) vulnerable to unsubstantiated fads than it used to be; its record of folly, however, remains an undeniable embarrassment.

<h3>What is scientific knowledge?</h3>

Knowledge can be defined as factual awareness or practical skills, but it can also refer to familiarity with objects or situations.
Knowledge of facts, also known as propositional knowledge, is frequently defined as the true belief that differs from opinion or guesswork due to justification.
Scientific knowledge is a generalized body of laws and theories developed through the scientific method to explain a phenomenon or behavior of interest.
Theories are systematic explanations of the underlying phenomenon or behavior, whereas laws are observed patterns of phenomena or behaviors.

To find the correct option:

Option (C) is the correct option because, according to the sentence comparison of medical sciences to scientific knowledge growth, its foolish researches lead to embarrassment.
As a result, option (C) is the correct answer.
Other options do not correspond to the meaning of the given sentence.

Therefore, given the exponential growth of scientific knowledge, medicine is far less (C) vulnerable to unsubstantiated fads than it used to be; its record of folly, however, remains an undeniable embarrassment.

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You have an account with a principal of $200. it pays 8% at the end of every year. calculate the principal at the end of 3 years

Katarina [22]

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (P × R × T)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The principal at the end of 3 years is,

Principal after 3 years = P + (P × R × T)

= $200 + ($200 × 0.08 × 3)

= $200 + $48

= $248

Hence, the principal at the end of 3 years is $248.

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3 0

2 years ago

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago

Hellpppp pllzzzzzz!!!!!!

DENIUS [597]

Answer:

Can you scroll up a little bit ill edit my answer once you do

Step-by-step explanation:

5 0

3 years ago

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago

Which line has a slope of 1/2 and goes through the point (2,4)?

Pani-rosa [81]

The line equation for its slope and one point is:
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = <span>(1/2)x + 3</span>

7 0

3 years ago