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Artist 52 [7]
3 years ago
14

A cube has a volume of 512 cubic mm. If all sides of the cube ae divided by 4, what will the resulting volume be?

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
Volume of a cube = s³ 

Therefore, s³ = 512, meaning that s = 8.

The question asks what the resulting volume would be if all sides of the cube were divided by 4.

The current side measures 8, and we know that 8/4 = 2.

Thus, the resulting volume = s³ = 2³ = 8 cubic mm.
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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul
mezya [45]
Diameter of the cylindrical portion of capsule = 5 mm
Length of the cylindrical portion of capsule = 14 mm - 5mm = 9 mm

Curved surface area of the cylindrical portion of capsule = 2\pi \: rh
= 2 \times \frac{22}{7} \times \frac{5}{2} \times 9 = \frac{990}{7} mm {}^{2}
Curved surface area of two hemisphere =4\pi \: r {}^{2}
= 4 \times \frac{22}{7} \times ( \frac{5}{2} ) {}^{2}
= 4 \times \frac{22}{7} \times \frac{25}{4} = \frac{550}{7} mm {}^{2}

Surface area of the capsule = Curved surface area of cylindrical portion + Curved surface area of hemispherical ends
= ( \frac{990}{7} + \frac{550}{7} ) \: mm {}^{2} = 220 \: mm {}^{2}
8 0
3 years ago
F(x) = 3^x Find f(x) when x = 8.
Sladkaya [172]

Answer:

f(8) = 3^8  = 6561

Step-by-step explanation:

f(x) = 3^x

Let x =8

f(8) = 3^8

     = 6561

5 0
4 years ago
Read 2 more answers
1) A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in 2 hours? 3 hours? 3.5 hours?
Savatey [412]

You can solve this with proportion

1)    For 2h

9/2 mile : 3/4h = x mile : 2h => (3/4)x=(9/2)*2 => (3/4)x=9 => x=9*(4/3)= 12miles

For 3h => (3/4)x=(9/2)*3 When we divide equation with 3 we get

x/4=9/2 => x=(9/2)*4=18 miles

2)  2 combine : 320 acres = 7 combines : x acres +: 2x= 320*7 =>

x= (320*7)/2 = 160 * 7 = 1120 acres

Good luck!!!


3 0
3 years ago
The number of calories in a piece of pie is 20 less that 3 times the number of calories in a scoop of ice cream . The pie and th
arlik [135]
Let c=ice cream and p=pie
3c-20=p
p+c=500
Substitute for p.
p=130 and c=370
7 0
3 years ago
Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that appl
zvonat [6]
X-intercepts are found by factoring.  Use the quadratic formula on the first since it's in standard form and you find that your x values are in fact -3 and 7.  For the second one, use the Zero Product Property that says that x - 3 = 0 or x + 7 = 0.  Therefore, x = 3 and -7.  Signs are wrong.  So not the second one.  As for the third one, if you factor out a 3, your polynomial is exactly the same as the first one which did give us the desired x values.  So the third one checks out.  If you FOIL out the first one and then apply the quadratic formula you do get x = 3 and -7. So the fourth one checks out too.  For the last one, putting it into the quadratic formula gives you x values of 3 and -7, so no to that one.  Summary:  1st, 3rd, 4th have zeros of -3 and 7; 2nd and 5th do not.
6 0
3 years ago
Read 2 more answers
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