Answer:
![f(10) = 1147.25](https://tex.z-dn.net/?f=f%2810%29%20%3D%201147.25)
Step-by-step explanation:
Given
![f(-1.5) = 26](https://tex.z-dn.net/?f=f%28-1.5%29%20%3D%2026)
![f(5.5) = 7](https://tex.z-dn.net/?f=f%285.5%29%20%3D%207)
Required
f(10)
An exponential function is represented as:
![f(x) = ab^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ab%5Ex)
impleies that:
--- (1)
implies that
--- (2)
Divide (2) by (1)
![26/7 = ab^{-1.5}/ab^{5.5}](https://tex.z-dn.net/?f=26%2F7%20%3D%20ab%5E%7B-1.5%7D%2Fab%5E%7B5.5%7D)
![3.71429 = b^{-1.5+5.5}](https://tex.z-dn.net/?f=3.71429%20%3D%20b%5E%7B-1.5%2B5.5%7D)
![3.71429 = b^{4}](https://tex.z-dn.net/?f=3.71429%20%3D%20b%5E%7B4%7D)
Take 4th root
![b = 1.39](https://tex.z-dn.net/?f=b%20%3D%201.39)
Substitute
in ![26 = ab^{-1.5}](https://tex.z-dn.net/?f=26%20%3D%20ab%5E%7B-1.5%7D)
![26 = a * 1.39^{-1.5}](https://tex.z-dn.net/?f=26%20%3D%20a%20%2A%201.39%5E%7B-1.5%7D)
![26 = a * 0.6102](https://tex.z-dn.net/?f=26%20%3D%20a%20%2A%200.6102)
Solve for (a)
![a = 26/0.6102](https://tex.z-dn.net/?f=a%20%3D%2026%2F0.6102)
![a = 42.61](https://tex.z-dn.net/?f=a%20%3D%2042.61)
f(10) is calculated as:
![f(10) = ab^{10}](https://tex.z-dn.net/?f=f%2810%29%20%3D%20ab%5E%7B10%7D)
![f(10) = 42.61 * 1.39^{10}](https://tex.z-dn.net/?f=f%2810%29%20%3D%2042.61%20%2A%201.39%5E%7B10%7D)
![f(10) = 1147.25](https://tex.z-dn.net/?f=f%2810%29%20%3D%201147.25)
9514 1404 393
Answer:
- -√5
- 3/5
- -4/5
Step-by-step explanation:
The relevant relations are ...
sec = ±√(tan² +1)
cos = 1/sec
csc = 1/sin = ±1/√(1 -cos²)
Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.
__
1. sec(θ) = -√((-2)² +1) = -√5
2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5
3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5
==> I can't be sure of the equation. There's a blank space
between '5t' and '8', where an operation must be.
I think the operation is more likely ' + ' (addition). Brainly usually
does show the ' - ' if it's subtraction, but goes blank if it's addition.
Tell you what I'll do: Since you sound so desperate, and you're being
so generous with your points, I'll show you how to figure it out both ways.
----------------------------------------
If it's subtraction: 5t - 8 = 43
Add 8 to each side: 5t = 51
Divide each side by 5 : t = 51/5
t = 10 and 1/5
--------------------------------------------
If it's addition: 5t + 8 = 43
Subtract 8 from each side: 5t = 35
Divide each side by 5 : t = 7
Answer:
16600 should be the answer.
Step-by-step explanation:
because 830 times 20 is 16600.
hope i helped
Answer: i think it is 3456
Step-by-step explanation: