111,022 rounds to 111,000
Answer:
true
since: a = 1, or >1 and <10
Nothing times itself will equal 29, but in decimal form only is 5.38
Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is
⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵ 
- Multiply the base y
∵ 
∴
⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
Answer:
1 inch
Step-by-step explanation:
If we call the thickness of the frame x, then the dimensions of the glass are:
w = 8 − 2x
h = 10 − 2x
The area of the glass is width times height:
48 = (8 − 2x) (10 − 2x)
Distribute and simplify:
48 = 80 − 16x − 20x + 4x²
0 = 4x² − 36x + 32
0 = x² − 9x + 8
Factor and solve:
0 = (x − 1) (x − 8)
x = 1 or x = 8
x can't be more than 4 (half the width of the frame), so x = 1 inch.