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aniked [119]
2 years ago
9

NEED HELP ASAP Find f(-2) for f(x) = 2(4)^x

Mathematics
1 answer:
viktelen [127]2 years ago
4 0

Answer:

A.) \frac{1}{8}

Step-by-step explanation:

f(-2) means plug in -2 in for x for the equation f(x), therefore,

f(-2) = 2(4)^x = 2(4)^{-2} = \frac{1}{8}

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If a circle has a circumference of 38cm what is it’s radius to 0.1cm?
ira [324]

Answer:6.05cm

Step-by-step explanation:

Circumference=2×π×r

38=2×22/7×r

38×7=2×22×r

266=44r

r=266/44

r=6.05cm

8 0
2 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
2 years ago
PLEASE HELP !!!!!<br> What is the value of the missing angle?
vazorg [7]

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

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and oil storage tank is a cylinder with a height of 50 feet in a diameter of 20 feet. What is the volume of the tank? Use 3.14 f
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Step-by-step explanation:

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The answer is 0
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