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ipn [44]
2 years ago
11

1 last geometry problem

Mathematics
1 answer:
pentagon [3]2 years ago
7 0
Line AD = 9
Angle A = 60
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The function (f) is given by <img src="https://tex.z-dn.net/?f=f%28x%29%3De%5E%28x-11%29%20-8" id="TexFormula1" title="f(x)=e^(x
Vitek1552 [10]
f(x)=e^{x-11}-8\to y=e^{x-11}-8\ \ \ \ |add\ 8\ to\ both\ sides\\\\e^{x-11}=y+8\\\\\ln e^{x-11}=\ln(y+8)\iff x-11=\ln(y+8)\ \ \ \ |add\ 11\ to\ both\ sides\\\\x=\ln(y+8)+11\\\\a)\ \boxed{f^{-1}(x)=\ln(x+8)+11}\\\\b)\ The\ domain\ of\ f^{-1}(x):\\\\x+8 > 0\to \boxed{x > -8\to x\in(-8;\ \infty)}
7 0
3 years ago
Can fractions still be considered natural, whole, integers, rational, irrational, or real numbers?
vitfil [10]
<span>Fractions are numbers which can be represented in the form p/q, where p and q are WHOLE NUMBERS and q is not zero Rational numbers are numbers which can be represented in the form p/q where p and q are INTEGERS and q is not zero So your saying " all rational numbers are all numbers that can be represented as a fraction." is wrong....... all fractions are rational numbers but NOT ALL rational numbers are fractions..</span>
7 0
2 years ago
Pls just ans the match the following bless yal stay safe
Vilka [71]

Answer:

a-ii

b-iii

c-v

d-i

e-vi

please mark as brainliest

4 0
3 years ago
An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees
zheka24 [161]

Answer:

Probability = 0.12025

Step-by-step explanation:

P (Am) = 1/50 = 0.02       {Magazine ad}

P (At) = 1/8 = 0.125         {Television ad}

P (Am ∩ At ) = 1/100 = 0.01      {Both ads}

P (Am U At) = P (Am) + P (At) - P (Am ∩ At )

= 0.02 + 0.125 - 0.01

P (Am U At)  = 0.135       {Person sees either ad}

P (Am' ∩ At') = 1 - P (Am U At)

P (Am' ∩ At')  = 1 - 0.135 = 0.865      {Person sees none ad}

Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)

P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1

P (P) = (0.25) (0.135) + (0.1) (0.865)

= 0.03375 + 0.0865

0.12025

7 0
2 years ago
A town has a population of 6000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will
kotykmax [81]

Answer:

5 years.

Step-by-step explanation:

Every year the population increases by a factor 103.5% or  1.035.

The equation relating population and time in years is:

P = 6000(1.035)^t  (This is an example of  exponential growth)

So we have:

7100 = 6000(1.035)^t

(1.035)^t = 7100/6000

(1.035)^t = 1.1833

t ln 1.035 = ln 1.1833

t = ln 1.1833/ln 1.035

= 4.89.

7 0
3 years ago
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