The function:f ( x ) = x * 0.965^twhere x is the initial amount and t is the number of the years80 = x * 0.965^380 = x * 0.89632x = 80 : 0.89632 ≈ 89Answer:The initial amount of animals was 89.
Jill had a total score of 40 on 13 quizzes, so her average was
40/13 ≈ 3.08
_____
1 quiz @ 1 = total of 1
3 quizzes @ 2 = total of 6
4 quizzes @ 3 = total of 12
4 quizzes @ 4 = total of 16
1 quiz @ 5 = total of 5
total score = 1 + 6 + 12 + 16 + 5 = 40
total quizzes = 1 + 3 + 4 + 4 + 1 = 13
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 ×
+ 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 ×
+ 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 ×
+ 3 × 2³ -
)
Collect the like terms with a base of 2.
2(
+ 3 × 2³)
Evaluate the power of 2³.
2(
+ 3 × 8)
Evaluate the power of
.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
9514 1404 393
Answer:
20%
Step-by-step explanation:
A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...
English/Class = 72°/360° = 0.20 = 0.20×100% = 20%
20% of the students chose English.
Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2