<u>burned: </u>756 calories
<u>hours:</u> 3
same number of calories each hour
-> to find this, we must split the number of calories evenly among the hours
<u>steps</u>
756/3
= 252 calories per hour
For the two lines to be parallel, the angles labeled 1 and 2 must be equal.
m 1 and m 2 have to be equal.
(5 - 3x) = (5x - 11)
Solve for x:
16=8x
2=x
X has to be 2.
320 portions of waffles can be made with one container.
Step-by-step explanation:
Given,
Milk is bought in 1 gallon container.
One portion of waffles require = 0.4 ounces of milk
We know that;
1 gallon = 128 ounces
Now;
No. of portions of waffles = 
No. of portions of waffles = 
No. of portions of waffles = 320
320 portions of waffles can be made with one container.
Answer:
lol cut3-dog how-is-your-d4y
Step-by-step explanation:
To simplify the function, we need to know some basic identities involving exponents.
1. b^(ax)=(b^x)^a=(b^a)^x
2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)
Now simplify f(x), where
f(x)=(1/3)*(81)^(3*x/4)
=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]
=(1/3)(3^(4*3*x/4) [ rule 1 above ]
=(1/3) (3^(3*x)
=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]
(A) Initial value is the value of the function when x=0, i.e.
initial value
= f(0)
=(1/3)(3^(3x))
=(1/3)(3^(3*0))
=(1/3)(3^0)
=(1/3)(1)
=1/3
(B) the simplified base base is 3 (or 27 if the other form is used)
(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).
(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).
