All categories

3 years ago

How do you find the domain for 6?

Mathematics

2 answers:

Hunter-Best [27]3 years ago

6 0

It is all real numbers........

neonofarm [45]3 years ago

4 0

Domain:

R (all real numbers)

You might be interested in

What is 20 less than 1000

Phoenix [80]

20 less than 1000 is the same thing as 1000 minus 20.

1000 minus 20 is 980.

20 less than 1000 is 980.

6 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

A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. I

Leya [2.2K]

To solve this, we have to find the volume of the cylinder first. The formula to be used is $V = \pi r^{2} h$

Given:V= ?r= 6cmh= 10cm
Solution: $V = \pi r^{2} h$
V= (3.14)(6cm) $^{2}$ x 10cmV= (3.14)( $36cm^{2}$ ) x 10cmV= ( $113.04cm^{2}$ ) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.

5 0

3 years ago

Larry rolls 2 fair dice and adds the results from each.

aksik [14]

Answer:

5/36

Step-by-step explanation:

Dice 1 cannot be 1 no matter how large dice 2 gets

Dice 1 = 2,3,4,5,6 each matches with dice 2 to get a sum of 8

8 0

2 years ago

The length of a shadow of a tree is 9 ft. The distance from the top of the tree to the tip of the shadow is 16 ft. what is the h

Margarita [4]

So for this, you'll be using the pythagorean theorem to solve for the height.

$9^2+b^2=16^2$

Solve the exponents to get $81+b^2=256$

Subtract 81 on each side to get $b^2=175$

Square root each side, and your answer should be $b= \sqrt{175}$ or 13.23 ft

7 0

3 years ago