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3 years ago

6

A sprinkler rotates in a circular pattern and sprays water over a distance of 25 feet. Use 3.14 for pi. Round your answer to nea

rest tenth.

1 answer:

KiRa [710]3 years ago

3 0

Work attached. Hope this helped! :)

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Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local

neonofarm [45]

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

$h'(x) = 3x^2 - 12x^3$

to find the critical points you equal the first derivative to 0 and get that

$3x^2 - 12x^3 = 0, x = 0,1/4$

To find if they are maximums or local minimums you use the second derivative.

$h''(x) = 6x-36x^2$

since $h''(0) = 0$ is neither an inflection point, and since $h''(1/4) = -3/4$ then 1/4 is a maximum.

6 0

3 years ago

A box contain 9 novels, 7 biographies, and 5 reference books. Alyssa randomly chooses a book, then she randomly chooses another

Tanzania [10]

$first\ book:\\9\ novels+7\ biographies+5\ reference=21\ all\ books\\probability:\\P_1("chooses\ biographie")= \frac{7}{21} = \frac{1}{3} \\\\second\ book:\\9\ novels+6\ biographies+5\ reference=20\ all\ books\\probability:\\P_2("chooses\ biographie")= \frac{6}{20} = \frac{3}{10}\\\\the\ probablity\ that\ Alyssa\ chooses\ two\ biographies:\\P("two\ biographies")=P_1\cdot P_2= \frac{1}{3}\cdot \frac{3}{10} = \frac{1}{10} =0.1\\\\Ans.\ Probability\ is\ 0.1$

5 0

3 years ago

(2x+5)/(3x)-:(2x-1)/(x+1)

andreyandreev [35.5K]

Answer:

2x(power of two)+7x+5

-------------over-------------------

6x(power of two) -3x

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find the range 7,6,5,9,5,8,2 please include work!!

ArbitrLikvidat [17]

Answer:

7.

Step-by-step explanation:

Range = highest value - lowest

= 9 - 2

= 7.

5 0

3 years ago

A bug completes one lap along the edge of a circular planter of radius 11.7 cm in 13.91 s. How fast was it traveling? 1. 10.8518

IrinaK [193]

Answer:

8.5.28492 cm/s

Step-by-step explanation:

We are given that

Radius of circular planter=11.7 cm

Time taken by bug =13.91 s

We have to find the speed of bug.

We know that

Speed = $\frac{distance}{time}$

Distance traveled by bug = $2\pi r$

Distance traveled by bug = $2\times 3.14\times 11.7$

Because $\pi=3.14$

Speed of bug= $\frac{2\times 3.14\times 11.7}{13.91}=5.28224 cm/s$

Hence, speed of bug=5.2822 4 cm/s

Answer:8.5.28492 cm/s

8 0

3 years ago