Answer:
1/9
Step-by-step explanation:
there are 9 marbles in all so the probability of getting 1 blue marble would be 1/9
Answer:
area = 24 yd²
Step-by-step explanation:
convert the dimensions into yards using the conversion
1 yard = 3 feet
24 feet = 
= 8 yards
9 feet = 
= 3 yards
area = length × width = 8 × 3 = 24 yd²
Answer:
Last 2 terminate
Step-by-step explanation:
9/7 does not terminate: 1.285724285724285724...
5/3 does not terminate: 1.66666666666666666...
3/2 does terminate: 1.5
6/4 same thing as 3/2 = 1.5
C and D terminate.
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, + ∞ ).
Answer:
Similar, AA similarity, ΔAKL
Step-by-step explanation:
BC and KL are parallel. Therefore, ∠B and ∠K are alternate interior angles, and ∠C and ∠L are also alternate interior angles. Alternate interior angle are congruent, so by AA similarity, ΔABC ~ ΔAKL.
