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elixir [45]
3 years ago
15

If a block of copper is 5 cm by 10 cm by 3 cm and has a mass of 1335 grams, what is the density of copper?

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

the density of copper is 90.03g/cm³

Step-by-step explanation:

This problem bothers on the density of a substance, this case for a copper material

Given data

Mass of copper m = 1355g

Volume of copper block v= l*b*h

10*5*3=150cm³

We know that the density

ρ= mass/volume

ρ= 1355/150

ρ= 90.03g/cm²

The density of a substance is defined as the mass of the substance per unit volume

stepan [7]3 years ago
4 0

Answer:

The answer is 8.9 gm/cm cubed

Step-by-step explanation:

Just did it on algebra nation

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Units of Capacity
marysya [2.9K]

Answer:

            \large\boxed{\large\boxed{0.2deciliter}}

Explanation:

Build your conversion factors using the conversion table:

  • 1 cup = 0.237 liters\implies 1=0.237liters/1cup

From the prefixes used in the metric system, you know that 1 deciliter = 0.100 liters. Then:

  • 1 deciliter = 0.100 liters\implies 1=1deciliter/0.100liters

Arrange the expression to simplify the units and convert from cups to deciliters:

  • 9cups\times 0.237liters/cup\times 1deciliter/0.100liters=0.2133deciliter

Round to the nearest tenth: 0.2 deciliter.

4 0
3 years ago
Read 2 more answers
Show work and explain with formulas.
Juli2301 [7.4K]

20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1

21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

6 0
3 years ago
Read 2 more answers
The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in c
Aloiza [94]

The volume of the box without the lid is 500 cubic inches.

<h3>What is volume?</h3>

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

The volume of a box without a lid is given by the formula v = 4x(10-x)².

Where,

'x' is a length in inches, and

'v' is the volume in cubic inches.

The volume when x = 5 inches.

Substitute the value of 'x' in the formula of volume;

v = 4×5(10-5)²

  = 20×5²

v  = 500

Therefore, the volume of a box without a lid is 500 cubic inches.

To know more about the volume of a cardboard shoe box, here

brainly.com/question/623789

#SPJ4

8 0
2 years ago
If f(x)=4x-6 and g(x) =2x find f(x) •g(x)
slavikrds [6]
This is same as (4x-6)(2x), so you can distribute 2x into 4x-6 and you would get
(2x)4x - (2x)6 = 8x² - 12x

Final answer: 8x² - 12x

Hope this helps.
5 0
3 years ago
Read 2 more answers
Use the Law of Sines to find the missing angle of the triangle. Find m&lt;b to the nearest tenth.
defon
1. By the Law of Sines, you have:

 SinA/a=SinB/b=SinC/c

  2. You don't need the fraction SinC/c, so you can eliminate it. Then:

 SinA/a=SinB/b

 A=40°
 a=19
 B=m∠b
 b=13

 3. When you substitute this values into SinA/a=SinB/b, you obtain:

 SinA/a=SinB/b
 Sin(40°)/19=SinB/13
 SinB=13xSin(40°)/19
 m∠b=SinB^-1(13xSin(40°)/19)
 m∠b=26.1°

 Therefore, the answer is: 26.1 degrees.
6 0
3 years ago
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