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2 years ago

What is a placebo and why is it important in an experiment to test the effectiveness of a drug

Mathematics

1 answer:

Sonbull [250]2 years ago

5 0

Answer:

A placebo is a useless substance that takes the place of an actual drug

Step-by-step explanation:

This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f + g)(x)

alex41 [277]

Answer:

5x+3

Step-by-step explanation:

$(f + g)(x) = f(x) + g(x) \\ =2x - 6 + 3x + 9 \\ = 5x + 3$

consider marking as Brainliest if this helped

5 0

3 years ago

Brendon had total job benefits of $39,500 last year. He was required to wear a shirt with the company logo on it for work that h

san4es73 [151]

Answer:

Step-by-step explanation:

It is correct

6 0

1 year ago

Read 2 more answers

Colin invests £4000 into his bank account. He receives 5% per year simple interest. How much will Colin have after 3 years? Give

MakcuM [25]

Answer:

2750

Step-by-step explanation:

7 0

2 years ago

Help asap Which explains how to find the quotient of the division below? -3 1/3 divided by 4/9

noname [10]

Answer:

$-7\frac{1}{2}$

Step-by-step explanation:

To find the quotient, convert the mixed number to an improper fraction first

$-3\frac{1}{3}=-\frac{3*3+1}{3}=-\frac{10}{3}$

Find the quotient now

$\frac{(-10/3)}{(4/9)}=-\frac{10*9}{4*3}\\ \\=-\frac{90}{12}$

Simplify

Divide by $6$ both numerator and denominator

$=-\frac{15}{2}=-7.5$

Convert to a mixed number

$-7.5=-(7+0.5)=-(7+\frac{1}{2})=-7 \frac{1}{2}$

4 0

2 years ago

Read 2 more answers