Answer:the size of the button hole is 2.35 cm
Step-by-step explanation:
For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.
The formula for determining the circumference of a circle is expressed as
Circumference = πd or 2πr
Where
d represents the diameter of the circle
π is a constant given as 3.14
From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be
d = circumference/π = 7.38/3.14
d = 2.35 cm
For this case we have the following function:
f (x) = (1/6) ^ x
We must evaluate the function for x = 3
We have then:
f (3) = (1/6) ^ 3
Rewriting:
f (3) = (1/216)
Answer:
The function evaluated at x = 3 is:
f (3) = (1/216)
option C
Answer:
B, The initial number of bacteria increases at a rate of 24% each day.
Step-by-step explanation:
I think the answer is B because it is the one that closely matches the problem. 312 is multiplied by 1.24 with an exponent. Just eyeballing it, it's multiplied by itself and then an increase of 24%. Also, none of the other statements seem to be correct, D not even making sense in the scope of the problem. Hope this helps, good luck.
For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Answer:
1. a
2. b (i think)
3. b
4. a
5. d
im not sure bout all this but h ope it helps you
