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xz_007 [3.2K]
2 years ago
15

A local maximum of the function f(x) occurs for which x-value?

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

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Find the area of the semicircle. Round your answer to the nearest hundredth.<br> PLEASEE HELPP
trapecia [35]

Answer:

Area of semicircle = 226.08 in²

Step-by-step explanation:

Diameter of semicircle = 24 in

We need to find area of semicircle.

The formula used to find area of semicircle is: Area=\frac{\pi r^2}{2}

First we will find radius

We know that: radius = diameter/2 = 24/2 = 12

Now, finding area

Area=\frac{\pi r^2}{2}\\Area=\frac{3.14\times (12)^2}{2}\\Area=\frac{452.16}{2}\\Area=226.08\:in^2

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7 0
3 years ago
A hotel wants to put a fence around a circular spa. The radius of the spa is feet. If the fence is built along the immediate edg
MariettaO [177]

For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:

P = 2 \pi*r

Where "r" represents the radius of the circle, in this case r = \frac {5} {\sqrt {2} -1}

Substituting in the perimeter equation we have:

P = 2 \pi * \frac {5} {\sqrt {2} -1}

Rationalizing we have:

P = \frac {2 \pi * 5 (\sqrt {2} +1)} {(\sqrt {2} -1) * (\sqrt {2} +1)}\\P = \frac {2 \pi*5 \sqrt {2} +2 \pi*5} {2-1}\\P = 10 \pi \sqrt {2} +10 \pi

Taking out common factor \pi:

P = (10 \sqrt {2} +10) \pi

Answer:

P = (10 \sqrt {2} +10) \pi\ feet

Option C


3 0
3 years ago
2(11r + 7) + 1 = 1/4 (88r+60)<br><br> show the steps please i need this asap
disa [49]
<span>2(11r + 7) + 1 = 1/4 (88r+60)
</span><span>22r + 14 + 1 = 22r + 15 ---------------------->distributive property
simplify
22r + 15 = 22r + 15 
0 = 0
answer: infinite solutions</span>
3 0
3 years ago
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