Answer:
Long part= 45
Short part= 25
Step-by-step explanation:
Let the short part of the stick be x
Let the long part be x+20
The total length of the stick is 70cm
x + (x+20)= 70
x+x+20= 70
2x+20= 70
2x= 70-20
2x= 50
x= 50/2
= 25
Longer part length= 20+25
= 45
The short part is 25
Answer:
You are correct.
Step-by-step explanation:
What you do is you add them together which is 2x and it stays in the square root. You are correct.
Let's check the dot product .
v.w = 5(4)-2(10) = 20 -20 =0
So the dot product is not 20 . And since the dot product is zero, so they are perpendicular.
And the y component of w is 10.
So correct options are first and third .
Answer:
Answer. Step-by-step explanation: By selling it at 360 he would lose 13% because the amount of money lost with 240$ is 48$ (You can find that out by doing 240 x 0.2). If he loses 48$ again when selling it at 360$ he would make 312 dollars.
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Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4