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alukav5142 [94]
3 years ago
7

12. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job

in 1 ½ hours. How quickly can all three fill the pool together?
Mathematics
2 answers:
tiny-mole [99]3 years ago
3 0

Answer:

2 hrs 45 mins

Step-by-step explanation:

30min + 45min = 1hr 15min + 1hr 30min = 2hrs 45mins

RoseWind [281]3 years ago
3 0

Answer:

<em>15 minutes </em>

Step-by-step explanation:

\frac{1}{30} + \frac{1}{45} + \frac{1}{90} = \frac{3}{90} + \frac{2}{90} + \frac{1}{90} = \frac{6}{90} = \frac{1}{15}

All three can fill the pool in <em>15 minutes</em>

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Zinaida [17]

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6 0
3 years ago
Find the value of x at which the function has a possible relative maximum or minimum point.​ (Recall that e Superscript x is pos
shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

f'(x)=  -e^{-4x}(11+4x)

And then we get that   if   11+4x = 0   then   x = -11/4 . So it has a critical point at   x = -11/4.

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56

x= -11/4 is a maximum.

6 0
3 years ago
Describe a situation that models a nonlinear pattern.
Amiraneli [1.4K]
A nonlinear function is a function  whose graph is not a line or part of a line. Ex:  2, 5, 7, 9, 19, 28, 30, 31, 50, 55, 56, 57, 60, 70, 75...
6 0
3 years ago
Sovle the equation for x0.5x-4=12
Amanda [17]

Value of x is x=32

Step-by-step explanation:

We need to find the value of x of the equation 0.5x-4=12

Solving the equation and finding value of x

0.5x-4=12\\

Adding 4 on both sides

0.5x-4+4=12+4\\0.5x=16\\

Divide both sides by 0.5

\frac{0.5x}{0.5} =\frac{16}{0.5}\\ x=32

So, value of x is x=32

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

5 0
3 years ago
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?
attashe74 [19]
D(7,3) \\&#10;E(8,1) \\&#10;F(4,-1)

The lengths of the sides of the triangle:
\overline{DE}=\sqrt{(8-7)^2+(1-3)^2}=\sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt{5} \\ \\&#10;\overline{DF}=\sqrt{(4-7)^2+(-1-3)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\&#10;\overline{EF}=\sqrt{(4-8)^2+(-1-1)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}= \\&#10;=\sqrt{4 \times 5}=2\sqrt{5}

No sides are equal to each other, so it's a scalene triangle.

Check if the sides satisfy the Pythagorean theorem:
(\sqrt{5})^2 + (2\sqrt{5})^2=5^2 \\&#10;5+20=25 \\&#10;25=25 \\&#10;true
They do, so it's a right triangle.

The triangle is a right scalene triangle.
7 0
3 years ago
Read 2 more answers
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