The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)
</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>
Answer:
36:85
Step-by-step explanation:
Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.
According to CAH
Cos∠N = Adjacent/Hypotenuse
Hypotenuse is the longest of the triangle |ON| = 85
Since the opposite side to ∠N is 77, the third side will be the Adjacent side.
Adjacent side will be |NP| = 36
Therefore:
Cos∠N = 36/85
The ratio that represents the cosine of ∠N is 36:85
Answer:
B.
Step-by-step explanation:
I got it correct on edginuity
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
Answer:
5 1/3 hours.
Step-by-step explanation:
Ashley prepares 1 bag in 2/3 minutes.
One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.
4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.
If it takes x minutes for Ashley and 4 friends to make one bag then we have:
1 / 2/3 + 1 / 7/24 = 1 / x
3/2 + 24/7 = 1/x
Multiply through by 14x:
21x + 48x = 14
x = 14/69 minutes.
So the time to make 1575 bags = 1575 * 14/69
= 320 minutes.
