Answer:
Part 1) The volume of the ball is 256 cm³
Part 2) The radius of the ball is 3.94 cm
Step-by-step explanation:
Part 1) we know that
The density is equal to divide the mass by the volume
D=m/V
Solve for the volume
The volume is equal to divide the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Part 2) what is the radius of the ball?
we know that
The volume of the sphere (ball) is equal to

we have

assume

substitute and solve for r




Answer:
Density is defined as:
Density = mass/volume.
We know that:
For liquid A:
Density = 70kg/m^3
Mass = 1400kg
Then the volume is:
Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3
For liquid B:
Density = 280 kg/m^3
Volume = 30m^3
We can find the mass of liquid B as:
mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg
We know that liquid C is a mixture of liquid A and B.
Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:
Mass of liquid C = 1400kg + 8400kg = 9800kg
The same happens for the volume, then:
Volume of liquid C = 30m^3 + 20m^3 = 50m^3
Then the density of liquid C is:
Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3
Answer:

Step-by-step explanation:
Given:
First Number = 97
Second Number = 
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;

Expressing in Scientific Notation form we get

Hence the Answer is
.
<u>Answer with step-by-step explanation:</u>
We are given three different expressions and we are to write an equivalent exponential equation for them.
We know that the standard form of a logarithmic expression is given by:
which is equivalent to the exponential form
.
1.
---> 
2.
---> 
3.
---> 