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Schach [20]
3 years ago
8

25

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

333/3 = 111 yards Joey walked

You might be interested in
Plz I need help !!!!!!!!
crimeas [40]
Hey the image doesn't appear for me
4 0
3 years ago
Read 2 more answers
(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
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
Someoneee pleaseee helpp!!!
Tju [1.3M]

Answer:

(x, y ) → (x + 6, y + 12 )

Step-by-step explanation:

We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image

Consider point V with x- coordinate - 8 and y- coordinate - 2

The corresponding point is V'

with x- coordinate - 2 and y- coordinate 10

Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.

These are the same shifts for W → W'

Thus the translation rule is

(x, y ) → (x + 6, y + 12 )

8 0
3 years ago
Simplify the expression 7√5-3√80​
dolphi86 [110]

Answer:

\boxed{\bold{7\sqrt{5}}}

Step By Step Explanation:

Simplify \bold{3\sqrt{8}\cdot \:0}

\bold{0}

Rewrite Equation

\bold{7\sqrt{5}-0}

Simplify \bold{7\sqrt{5}-0}

\bold{7\sqrt{5}}

3 0
3 years ago
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