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Black_prince [1.1K]
3 years ago
7

A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? write an inequality to rep

resent this situation and solve. show your work
Mathematics
1 answer:
Amanda [17]3 years ago
3 0

14 hours.......200 divided by 15 is 13.3333333 so your answer is 14

hope i could help sorry if i get it wrong

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Dy/dx of ln(x/x^²+1)
exis [7]

\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}

5 0
3 years ago
Solve the inequality for x. –4x + 6 < 50
natulia [17]

Answer:

x > -11  

Step-by-step explanation:  

<u>Step 1:  Subtract 6 from both sides</u>  

-4x + 6 - 6 < 50 - 6  

-4x < 44

<u>Step 2:  Divide both sides by -4</u>  

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.  

<em>x > -11</em>

 

Answer: x > -11

7 0
2 years ago
Jose earns extra money, m, working two weekends with his dad. He is saving to buy a new pair of skis that cost $147. Fantasia sa
Olegator [25]

Answer:

where is her work?

Step-by-step explanation:

maybe you forgot to put the pic

6 0
2 years ago
After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil ide
dimaraw [331]

Answer:

The revised probabilities are;

The probability of finding soil with oil  = 0.8  

The probability of finding soil with good oil = 0.16

The probability of finding medium quality oil =  0.64

Step-by-step explanation:

The given probability of finding soil with high quality oil, P(QO) = 0.20

The probability of finding soil with medium-quality oil, P(OM) = 0.80

The probability of finding soil with no oil, P(ON) = 0.2

Therefore, given that the probability of finding soil with no oil = 0.2, we have;

The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil

P(OP) = 1 - 0.2 = 0.8

Which gives;

The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;

P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16

The probability of finding good oil = 0.16

Similarly;

The probability of finding medium quality oil P(FM) =  P(OM) × P(OP) = 0.8 × 0.8 = 0.64

Which gives the revised probability as follows;

The probability of finding soil with oil, P(OP) = 0.8  

The probability of finding soil with good oil, P(FG) = 0.16

The probability of finding medium quality oil, P(FM) =  0.64.                

3 0
3 years ago
F(x) = 4x - 1<br> g(x) = x2 - 4x<br> Find f(g(3))
nasty-shy [4]

Answer:

-13

Step-by-step explanation:

hello,

Replace x by the value as below

g(3)=3^2-4\times3=9-12=-3\\f(g(3))=f(-3)=4\times(-3)-1=-12-1=-13\\

Thanks

5 0
3 years ago
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