The simplified form of the expression is 8.3y + 3.1
<h3>Equations and expressions</h3>
Given the following equations
(8-0.2+0.5)y + (2.2+1.3 - 0.4)
First is to Reorder the expression to have:
(8+0.5-0.2)y + (2.2+1.3 - 0.4)
Group the resulting expression
[8.5-0.2]y + (3.5 - 0.4)
Simplify the result
8.3y + 3.1
Hence the simplified form of the expression is 8.3y + 3.1
Learn more on factoring here: brainly.com/question/24734894
Li needs 3 more pieces, an 1 and 1/2 cut into 3 pieces.
Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.

Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.

= 0.032
Put in the formula


Therefore the decrease in the population of the city after t years is represented by
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π ×
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π ×
× h = 211 ; (π = 3.15)
⇒
× 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.