We have the expression:
To multiply fractions, we are going to multiply the top (straight across the top of the fraction bars) and multiply the bottom (straight across underneath the fraction bars). So then we have:
But since both the numerator and denominator are divisible by 2, we can reduce the fraction to:
So then the most simplified answer is 
.
Answer:
9x^2 and -30x
Step-by-step explanation:
Basically, what we want to do is expand out (3x - 5)^2, which is the same as (3x - 5)(3x - 5).
Use FOIL (first, outer, inner, last):
- the first terms are 3x and 3x, so multiply those together: 3x * 3x = 9x^2
- the outer terms are 3x and -5, so multiply those: 3x * (-5) = -15x
- the inner terms are -5 and 3x, so multiply those: (-5) * 3x = -15x
- the last terms are -5 and -5, so multiply those together: (-5) * (-5) = 25
Add all these together:
9x^2 + (-15x) + (-15x) + 25
9x^2 - 30x + 25
The missing terms are thus 9x^2 and -30x.
Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
<h3>What is the Volume of a Sphere and a Cylinder?</h3>
- Volume of a sphere = 4/3πr³
- Volume of a cylinder = πr²h
Volume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
Learn more about volume of sphere on:
brainly.com/question/22807400
Answer:
6
hope it is helpful to you
Answer:
25.100
Step-by-step explanation:
The thousandth place is the third digit to the right of the decimal point - tenths is the first, hundredths is the second, thousandths is the third. Since six rounds up and both nines round up, one must round up all of the way from the fourth decimal place to the tenth decimal place.
