Answer:
40.3
Step-by-step explanation:
Use pythagoras theorem, a^2 + b^2 = c^2
400 + 1225 = 1625
sqrt of 1625 = approx 40.3
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
</span>
I am taking 7I+x to mean 71+ x.
Answer: y=1.837
Step-by-step explanation:
Step 1
Let y is inversely proportional to 7I+x be mathematically be written as
y ∝ 1/7I+x
Introducing our proportionality of constant , K we have that
y ∝ 1/7I+x
y =K 1/7I+x
y= K/ 7I+xh
Step 2
so when x= 8, and y =2, k becomes
y= K/ 7I+x
k= y x (7I+x)
=2 x (71 + 8)
2x 79
=158
when x= 15, y =?
y= K/ 7I+x
y= 158/ 71 + 15
y=158/86
y=1.837
When you read this, you immediately get this feeling that the answer is
(1 and 3/4) times (5) . The only problem is that it's kind of messy to
try and do the multiplication with (1 and 3/4) in that form, so it's a lot
easier if you change it to a different form ... you don't change the value
of the number, you just write it differently.
In place of (1 and 3/4), you could use 1.75 , or you could use 7/4 .
They're both exactly the same amount as (1 and 3/4), but they look
different, and they're easier to work with.
Since the problem wants the answer as a fraction or mixed number,
let's use 7/4 in place of (1 and 3/4).
OK. Five bags were used on Thursday, and (7/4) of that many were used
on Friday.
(7/4) x (5 bags) = <u>35/4</u> bags . . . . . That's the improper fraction.
The mixed number is (<u>8 and 3/4</u>) bags.
Answer:tree
Step-by-step explanation:
