Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth is equal to

where
a is the initial value
r is the rate of growth
x is the time in hours
y is the value of the quantity
we have

substitute


For x=22 hours
substitute

Answer:
it is not linear
Step-by-step explanation:
Linear function means that same increments in x yield uniform increments in y.
First 2 lines: x grows from -5 to 0, so increment in x is 5. For said interval, y grows from 3 to 7, so increment in y is 4.
Then, x grows from 0 to 5, so increment in x is again 5. Now, for the same increase of x, y grows from 7 to 10, so increment now in y is 3.
In the first "5" interval of x, y grew 4, and in the second "5" interval of x y grew 3 ⇒ it is not linear.
The function would have been linear, if last y value had been 11.
<u>What we know</u>:
- Bird feeder capacity: --> 2 4/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<em>Lets first convert the mixed partial fraction --> improper fraction</em>
<em> --> for easier calculation</em>
<em />
<u>After Conversion:</u>
- Bird feeder capacity: --> 14/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
<u>Solve:</u>

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>
<u></u>
<u>Answer: 4</u>
<u></u>
Hope that helps!
This isn't really mathematics but I can give you an answer.
Assuming, it's in the dark (cuz in the light, why would you use flash), a person in the photograph can gain a red-eye (in the photo).
The only one I can think of is red eye.
Answer:
a. f(-1)=12
b. f(2t)=16t²-6t+5
c. f(t-2)=4t²-19t+27
Step-by-step explanation:
For a, b, c, we are given an input. We plug that into f(x) to find our answers.
a. f(-1)=12
f(-1)=4(-1)²-3(-1)+5
f(-1)=4+3+5
f(-1)=12
-------------------------------------------------------------------------------------------------------------
b. f(2t)=16t²-6t+5
f(2t)=4(2t)²-3(2t)+5
f(2t)=4(4t²)-6t+5
f(2t)=16t²-6t+5
-------------------------------------------------------------------------------------------------------------
c. f(t-2)=4t²-19t+27
f(t-2)=4(t-2)²-3(t-2)+5
f(t-2)=4(t²-4t+4)-3t+6+5
f(t-2)=4t²-16t+16-3t+6+5
f(t-2)=4t²-19t+27