Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
where a₁ is the first term and r the common ratio
Here 
= 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Answer:
B, 224in2
It may get tedious but just find the area of each face and write them down
Step-by-step explanation:
Answer:
The correct answer is
D) 66.35
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Answer:
<em> Linear model
</em>
The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000
Step-by-step explanation:
Given:
Enrico deposited $2000 in a savings account.
Each month he will deposit additional $25.
This shows that the rate at which the amount is increasing each month is constant.
Therefore, the model will be linear with a slope 25.
So , if x represents the number of months.
and f(x) represents the corresponding amount in the account.
Then the function f(x) is given by: f(x)=25x+2000
Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:
where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is
Then the distance covered in the second part is 
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so
So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:
And therefore, the speed in the second part must be
