Answer:
negative
Step-by-step explanation:
A negative value raised to an even exponent is positive
A negative value raised to an odd exponent is negative
= - 512 ← negative
= 256 ← positive
Answer:
146%
Step-by-step explanation:
To find the percent increase/decrease:
1. Subtract the original value from the new value.
2. Divide by the original value.
3. Multiply the decimal by 100 to convert to a percent.
98.9 - 40.2 = 58.7
58.7/40.2 = 1.46
1.46*100 = 146%
Answer:
Step-by-step explanation:
Using the rule of exponents
with n > m
= 
, thus
= 
= 
=
Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = 
( the opposite is the height h )
sin48° = 
( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
