Answer:
x=-2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
Answer:
129
Step-by-step explanation:
there is a sequence of 9 to each
Answer: Option B is the correct answer
Step-by-step explanation:
The given expression is
(–7t – 5v)(–4t – 3v).
The product will be a quadratic equation (having 2 as the highest power)
To find the product, we would expand the brackets
(-7t × -4t )+ (-7t × -3v) + (-5v × -4t) + (-5v × - 3v)
= (- -28t^2) +(- -21tv) + (- - 20tv) +(- -15v^2)
Recall, negative × negative equals positive.
=28t^2 +21tv +20tv+ 15v^2)
Collecting like terms, we add all terms containing the same letters together
28t^2 + 41tv + 15v^2
Option B is the correct answer
Car load and insurance premium
Answer:
The mass of the ice block is 2116 grams ⇒ a
Step-by-step explanation:
The formula of density is 
, where m is the mass and V is the volume
To find the mass from this formula multiply both sides by V,
then m = p.V
∵ The density of ice is approximately 0.92 g/cm³
∴ p = 0.92
- That means the mass of 1 cm³ is 0.92 g
∵ The volume of an ice block is 2300 cm³
∴ V = 2300
- Use the formula of the mass
∵ m = p.V
- Substitute the values of p and V in it
∴ m = (0.92)(2300)
∴ m = 2116 grams
The mass of the ice block is 2116 grams
