The number of views on a viral video can be modeled by the function Q(t)=410(5)^{2t}.Q(t)=410(5) 2t . Write an equivalent function of the form Q(t)=ab^t. Q(t)=ab t .

Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t

Step-by-step explanation:

We start with the equation:

Q(t) = 410*(5)^(2t)

And we want to rewrite this in the form:

Q(t) = a*b^t

To do this, we need to use the property:

(a^x)^y = a^(x*y)

Using this, we can rewrite:

Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t

And this is the form that we wanted:

lol

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3