Answer:
12750
Step-by-step explanation:
The sequence of visitors is
50, 100, 200, 400, .....
This is a geometric sequence
with common ratio r = 2
The sum to n terms is found using
=
( a is the first term )
=
= 50 × 255 = 12750
Answer:

Step-by-step explanation:
In
,
represents a constant related to the period of the function. Here's how it's related:
, where
is the period of the function.
We're given
, so solving for
:

Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
t=−0.543624 lemme know if i was right
Step-by-step explanation:
We know that a triangle adds up to 180 degrees.
Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25
130 + 25 = 155
Now let’s subtract this from 180.
180 - 155 = 25.
X is a supplementary angle to 25 so subtract 25 from 180.
180 - 25 = 155
X = 155.