Question

Help

Answer 1

@Vocaloid

Answer 2

@Zepdrix

Answer 3

you're given every value except for r in the formula, you just need to plug them in and solve for r

Answer 4

A

Answer 5

2543=2000^(r(4))

Answer 6

you forgot the e

Answer 7

2000*e^(rt)

Answer 8

well t would be 4 right

Answer 9

because it is the time

Answer 10

e is not the time

e is a constant that has its own value

t is the time

Answer 11

Yeah lol that's what i said ^~^

Answer 12

2000*e^(r)(4)

Answer 13

good, now solve for r (be very careful with your parentheses)

Answer 14

the exponent needs to be enclosed in parentheses e^(4r)

Answer 15

all equal to 2543

Answer 16

yes

Answer 17

B

Answer 18

good

Answer 19

you are given the final height

P(h) = 0.65 * P_0

solve for h

Answer 20

would i substitute anything for P_O

Answer 21

when you write out the equation you will see why you don't need anything for P_0

Answer 22

0.65 * P_0 = P_0 * e^(-0.00012h)

solve for h

notice why we don't need a P_0 value

Answer 23

D

Answer 24

good

Answer 25

try to think back about function transforms -

how does f(x+h) compare to f(x) visually?

Answer 26

well they bounce off each other right? :/

Answer 27

OKay so sifted left

Answer 28

shifted

Answer 29

good, so that means it looks like the graph of f(x) = x^(1/5) shifted left a bit

what does multiplying the entire function by -1 do? (visually)?

Answer 30

well b is the most shifted to the left

Answer 31

given this information, take the graph of f(x) = x^(1/5) and then reflect across the x-axis while shifting it to the left, and select the graph that matches

Answer 32

C

Answer 33

actually a

Answer 34

you had it right the first time (B) just wanted to make sure you understood why ^^"

Answer 35

I have the original graph up so i was just looking at which was shifted left .. how would i know for sure

Answer 36

Oh okay so it is the same graph just shifted

Answer 37

process of elimination

it has to be reflected across the x-axis too which eliminates C and B

can't be D either b/c the domain isn't restricted

Answer 38

got it ,, so it had to be reflected across the x-axis .. i think that is the point i missed

Answer 39

yup, the original equation has a negative sign in front of the equation so it has to be reflected across x

Answer 40

GOt it thanks!

Answer 41

D?

Answer 42

first split the log into its components using log rules 1 + 2

lmk if you get stuck

Answer 43

rule 1 (3^5*2^2)=log b 243 + 2

Answer 44

like this rigght

Answer 45

don't look at the numbers at the top just focus on decomposing this part

Answer 46

if it helps just focus on the numerator first

logb(M*N) = logb(M) + logb(N)

logb(A^5 * C^2) = ?

Answer 47

log(b)+5log(a)+2log(c)

Answer 48

you don't need that log(b) at the beginning

logb(A^5 * C^2) = logb(A^5) + logb(C^2)

Answer 49

then repeat the process to write the expression for the denominator

Answer 50

log b (D^6)

Answer 51

good, now we just bring the exponents down like so:

Answer 52

sorry if that's messy but it's just

5logb(A) + 3log(C) - 6logb(D)

then we just replace the values given in the original problem

Answer 53

so -11 = your ans

Answer 54

Thank you for all that

Answer 55

155/8?

Answer 56

nvm yeah 155/8 is right

Answer 57

B

Answer 58

ANd C

Answer 59

because a and d have -5

Answer 60

yeah good

Answer 61

a,b,c

Answer 62

remember that for geometric each term has to be ~multiplied~ by a term not added so one of those doesn't work

Answer 63

a and c

Answer 64

good, a and c but not b or d

Answer 65

combine the two logs on the left into one log (it's log rule 1 or 2 I don't remember)

Answer 66

C

Answer 67

yeah good C

Answer 68

A and C

Answer 69

D is also false (should be a minus sign not a divsion sign on the right so ACD

Answer 70

I'm getting no solution

Answer 71

either be careful with your parentheses (exponents need their own parentheses) or solve by hand

Answer 72

500=25e^(2x)

Answer 73

divide both sides by 25, take the natural log to eliminate e, then isolate for x

Answer 74

isn't it supposed to be like this

Answer 75

yeah that's fine

Answer 76

mathway can be stupid sometimes so I prefer wolframalpha (even thought that can be dumb sometimes too)

Answer 77

still there?

Answer 78

Yes i am here

Answer 79

any progress yet?

Answer 80

it's decomposing the log into smaller logs

just start with e^(2x) = 20

take the natural log of both sides

then isolate x

Answer 81

so c

Answer 82

gud

Answer 83

which of the following statements are true?

Answer 84

B,C,D

Answer 85

gonna say no on D because even radicals and odd radicals behave very differently esp on the domain

Answer 86

so just B +C

Answer 87

A

Answer 88

log M has to be the bigger one

Answer 89

D

Answer 90

good

Answer 91

C And D

Answer 92

look for the functions where there is not a constant ratio between terms

Answer 93

C

Answer 94

notice how each term in k(x) is being divided by 4 each time making this an exponential function

the question is asking for which ones aren't exponential

Answer 95

A def

Answer 96

B>>??

Answer 97

A actually is an exponential function (it's doubling each time)

B counts; h(x) does not have a constant ratio

D also counts (notice how the ratio changes near the end)

so B+D

Answer 98

good

Answer 99

C

Answer 100

check again

Answer 101

B

Answer 102

good , b

Answer 103

can we open a new question this one is lagging

Answer 104

Sure