MATHEMATICS HIGH SCHOOL

Which of the following best defines density?A.
A measure of the volume of a given substance

B.
A number between 0 and 1 that defines how thick a substance is

C.
A measure of how much mass a given volume of a substance will have

D.
A measure of the mass of a given substance

Answers

Answer 1
Answer:

Answer:

Density = mass/volume

Step-by-step explanation:

The mass per unit volume of a given substance is called its density. It can be represented by d or ρ. Mathematically, it is given by :

density=mass/volume

The SI unit of mass is kg and the SI unit of volume is m³. So, the SI unit of density is kg/m³.

So, the statement that defines density is "A measure of how much mass a given volume of a substance will have". Hence, the correct option is (c).
Answer 2
Answer: Density is mass per unit volume, therefore the correct answer is C. A measure of how much mass a given volume of a substance will have

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A sphere has a volume of 4500pi cubic inches. find the surface area of the sphere.

Answers

V=(4 \pi r^3)/(3)\n \n 4500\pi=(4 \pi r^3)/(3)\n \n 13500 \pi=4 \pi r^3\n \n r^3=(13500 \pi)/(4 \pi)\n \n r^3=3375 \n \n \boxed{r=15 in}

S=4 \pi r^2\n \n S=4 \pi 15^2\n \n \boxed{S=900 \pi \ in^2}
Cube : \ V=4500 \ \pi \ in^3\n\nV=(4)/(3)\pi r^3 \n \n4500 \pi =(4)/(3)\pi r^3 \ \ / \cdot ((3)/(4\pi))\n \n(3)/(4\pi)\cdot 4500 \pi =(3)/(4\pi)\cdot (4)/(3) \pi r^3\n \nr^3 =3*1125

r^3 = 3375 \n\nr=\sqrt[3]{3375}\n \nr=15 \ in \n \n the \ surface \ area : \n\nSA = 4 \pi r^2 \n \nSA=4 \pi \cdot 15^2 = 4\cdot 225 \pi = 900 \pi \ in^2
 

Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)

Answers

Answer:

Approximately 10

Step-by-step explanation:

19 / 5 Approximately 4

4 * 4 = 16

16 * 4 / 64

64 / 6 * = Approximately 10 / 10.6 ish

Actual Answer is 10.133

What is square root of 80 in simplified radical form?A.8 square root over 10


B.10 square root over 8


C.5 square root over 4


D.4 square root over 5

Answers

The number √80 in simplified radical form is 4√5. Therefore, the correct answer is option D.

The given number is √80.

Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.

Here, factors of number 80 are 2×2×2×2×5

= √16×5

= 4√5

Therefore, the correct answer is option D.

Learn more about the radical form here:

brainly.com/question/27272065.

#SPJ6
square root 80 = 4 x square root 5
because root 80 = root 16 x root 5

Does the following system have a unique solution? Why?

3x+2y= 9
14x + 10y = 14

Answers

Yes, the determinant of the coefficient matrix is 2.

When 59,527 is divided by 23, the quotient is 2,588 R ___.

Answers

       2,588
23|59,527
     46 ↓↓↓
     135 ↓↓
     115 ↓↓
       202 ↓
       184 ↓
         187
         184
             3
The remainder is 3.

Your answer would be the remainder of 2. I have a scientific calculator so you would probobaly know. If you do not believe me, check in the internet.

the length of a rectangle is 3 times its width. the rectangle's width is 4 m. what is area of the rectangle?​

Answers

when width is 4 and length is 3 times greater than it so length is 12m                                    now, area=length x breadth  =12mx 4m =48m²

Step-by-step explanation:
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