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Liono4ka [1.6K]
3 years ago
11

The potential energy, P, in a spring is represented using the formula P =1/2 kx2. Lupe uses an equivalent equation, which is sol

ved for k, to determine the answers to her homework.
Which equation should she use?
Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0
K = 2p/x^2 is the answer
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(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
I WILL GIVE BRAINLIEST IF YOU PLEASE CAN GIVE ME THE RIGHT ANSWER
fgiga [73]

Answer:

b. 14

Step-by-step explanation:

4 0
3 years ago
Solve for a and b in the following circles:<br> B)<br> a а<br> b<br> 82°
Crank

Answer:

A.po ang sagot

Step-by-step explanation:

ty po hope it help wag nyo na lang po kopyhin kung mali yan po kasi answer ko

8 0
3 years ago
Read 2 more answers
If a circle has a diameter of 91 units how many units is the radius
deff fn [24]

Answer:

r =45.5 units

Step-by-step explanation:

The diameter is twice the radius, or the radius is 1/2 the diameter

r = d/2

r = 91/2

r =45.5 units

7 0
3 years ago
Read 2 more answers
44/12 in simplest form
NeTakaya
The fraction 44/12 is equivalent1 to 3 2/3.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (44) is greater than the absolute value of the bottom number or denomintor (12). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (3) and proper fraction (2/3).
The fraction 44/12 is equal to 44÷12 and can also be expressed in decimal form as 3.666667.
5 0
3 years ago
Read 2 more answers
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