The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t

Answers

Answer 1

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer 2

Answer:

C)

Step-by-step explanation:

got it right on edge :)


Related Questions

Is this a geometric sequence? 100,50,10,5, 1,...

Answers

Answer:

No

Step-by-step explanation:

Class 6 are going on a trip to a windmill.
The trip costs £3.70 each and there are 26 students in 8A. How much money should be collected?

Answers

money $96.2 should be collected

Can you explain pls

Answers

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

1+2x6+7= -13
where do i have to put the parenthesis so its correct

Answers

Answer:

you have to but it back 2 times

Step-by-step explanation:

ir is because it should be back 2 rimes


A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a
video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly
selected. Let M be the event that the participant brought a microwave and let C be the event that the participant
brought a video game console. Organize these events in a two-way table. What is the probability that the participant
brought both a microwave and a console, P(M and C)?
0.65
0.71
0.76
0.90

Answers

Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

500 = 425 1 = X 425/500 = X 0.85 = X 380/500 = X 0.76 = X 0.85 x 0.76 = X 0.646 = X

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

Learn more about probability in https://brainly.com/question/14393430

Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25

Answers

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

The number 4 is an upper bound for the set of roots of this polynomial function. f(x)=3x^4-5x^3-5x^2+5x+2

A.true
B.false

Answers

The answer is true hope that helps

True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.

How to determine degree of a polynomial ?

To determine the degree of a polynomial just observe the highest power of the given variable.

According to the given question

A polynomial is given

f(x) = 3x⁴ - 5x³ - 5x² + 5x +2

Here we can observe that it is a polynomial in of degree 4.

We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.

Learn more about polynomials here :

https://brainly.com/question/15465256

#SPJ2

Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV

Answers

3x-4y=16

add 4y to both sides

3x=4y+16

divide both sides by 3

x=(4y+16)/3

i will mark you as brainliest please help!!

Answers

Answer:

y=x

Step-by-step explanation:

y1 is -4 and x1 is -4 so I think that's the amswer

Can you please answer ASAP I need the answer

Answers

Answer:

I think x=8

Step-by-step explanation:

5(x+7)+15=90

90 because it's a 90 degree angle

5x+35+15=90

5x+50=90

5x=40

x=8

what is the equation of the line shown?

what is the equation of a parallel line with a y-intercept of -1?​

Answers

Answer:

y = -⅓x + 1.

y = -⅓ - 1

Step-by-step explanation:

The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].

b = y-intercept, which is where the line intercepts the y-axis.

The line intercepts the y-axis at 1. Therefore b = 1.

m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].

Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:

y = -⅓x + 1.

The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.

Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.

Therefore, substitute m = -⅓ and b = -1 into y = mx + b.

y = -⅓x + (-1)

y = -⅓ - 1

The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1

f(x)=(-3x+2) and g(x)=(2x^2-5x-1)

Answers

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

This year, there were 25% fewer sunny days than last year. That’s my question.

Answers

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths
9 cm, x cm, and 12 cm joining to form right triangle at the centre

12 inches
15 inches
108 inches
144 inches

Answers

Answer:

where is the figure? upload the fig too

Answer:

15

Step-by-step explanation:

9*9+12*12=225

12*12=144

15*15=225

108*108=11664

144*144=20736

will 20,40,30 form a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

Because it is equal to 90

Answer:

accutally the answer is no i had the same thing

Step-by-step explanation:

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

Answers

Answer:

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

Step-by-step explanation:

The model equation is given as:

52(18) + x = 1200

a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.

52($18) + x = $1200

52(18) + x = $1200

Option a is correct

b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.

x = weekly bonus, hence, we have the equation:

$18 + (x)52 = $1200

Option b is wrong

c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.

This is represented as:

$52 + $18(x) = $1200

Option c is wrong

d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.

This is represented as :

$52+ $x + $18 = $1200

Option d is wrong.

Therefore, the correct statement that modelled the equation is option a

Plz help I’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

answer: -5

explanation: the parabola is shifted 5 unites to the left from its original point

у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)

Answers

Answer:

whats that.............

A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

Answer 26.35 rounded to 30

Step-by-step explanation:

4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)

Answers

Answer:

Step-by-step explanation:

Let R = Richard, T = Teo.

Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:

R + T = 41

We are also told Richard is 5 years older than twice Teo's age:

R = 2T + 5

You can substitute " R " into R + T = 41

R + T = 41

2T + 5 + T = 41

3T + 5 = 41

Subtract 5 from both sides

3T = 41 - 5

3T = 36

Divide both sides by 3 to find T.

T = 36/3 = 12

We know that R + T = 41, so

R = 41 - T

R = 41 - 12

R = 29

Answer:

Richard is 29 and Teo is 12

Step-by-step explanation:

let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )

Thus their combined ages are

n + 2n + 5 = 41 , that is

3n + 5 = 41 ( subtract 5 from both sides )

3n = 36 ( divide both sides by 3 )

n = 12

Then

Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old

The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?

Answers

Hi there

I think I maybe able to help.

Here is my answer:

996

Hope this helps

Jen bought 5 CDs for $57.50. What was the unit rate?

Answers

Jen bought 5 CDs for $57.50. What was the unit rate?

The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.

To find the unit rate of an item, you need to divide the price by the quantity.

[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]

The first step is to substitute the given amounts into the above formula.

[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]

Now, all you need to do is divide.

[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]

The unit rate is $11.50 per CD.

Answer:

The unit rate is $11.50 per CD.

Step-by-step explanation:

If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00

Answers

Answer:

1200

Step-by-step explanation:

15/18 * 1000/x

x = 1200

Answer:

1200 minute / 20 hour

Step-by-step explanation:

[tex]1000 \times 18 = 18000[/tex]

[tex]18000 \div 15 = 1200[/tex]

Helpppppppppppppppppppppp

Answers

....................... the answer

Please help asap!! Pretty simple if you understand I guess lol

Answers

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?

Answers

Answer:306 miles

Step-by-step explanation:

What is the diagonal length of the iPad?

Answers

Answer:

9.2 inches

Step-by-step explanation:

7^2+6^2=C^2

49+36=C^2

85+C^2

√85=√C^2

9.2 in =C

^2 are exponents

The diagonal length of an iPad is 9.2 inches

(Random question)
Guys I have 2 doubts
1.If anything is possible, is it possible for anything to be impossible?
2. If you enjoy wasting time, is that time really wasted?

Can you answer it??
Only answer if you can answer it
(well it says tht these two are unanswerable questions) ​

Answers

Step-by-step explanation:

to be honest in my opinion

1.)the impossible makes things possible nothing is possible untill it goes through impossible (simply implying the impossible makes things possible)e.g when you undergo anything hard you learn to not give up making that thing possible in the end

2.)one should not enjoy wasting but should enjoy making and building up time for fun and important things in life like hanging out with your family and friends that's a result of making time for enjoyment instead of wasting it lol

Yuuki kun hopes he was helpful^^

Answer:

if anything was possible that it WOULD be possible for the unpossible to be possible just confused myself

Step-by-step explanation:

In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72

Answers

Answer:

72 campers participated this year

Step-by-step explanation:

Percentages

To determine x% of y, we must calculate x*y/100.

The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.

The new attendance is calculated as follows:

40 * 180 / 100 = 72

72 campers participated this year

Answer:

72

Step-by-step explanation:

Other Questions
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Pregnant women should avoid traveling to areas known to have zika virus present because the virus is known to cause microcephaly and developmental difficulties related to the central nervous system. Based on the paragraph above, class discussions, and other VALID (be careful with your selection of e-materials! CDC Center for Disease Control is a good place to start) sources of information please answer the following questions. 1. State a reason why the virus has spread to the Americas and likely to spread to Europe. 2. Define the term microcephaly.3. What bones of the fetal skull would be affected by zika? Specifically, what area of the CNS is not fully developed in microcephalic individuals. 1.2.A poem with 14 lines and a specific rhyme schemeVerse with an irregular rhythm and no specific meter Why did Congress create the Freedmens Bureau?to collect taxes from formerly enslaved peopleto provide emergency relief for those living in povertyto help enforce the Black Codesto help restart Southern agriculture Determine the greatest pressure drop allowed over the 10-m-long pipe caused by viscous friction, so the flow remains laminar. What is Carley's opinion, and how does she support it with evidence? a.Carley's opinion is that people with pets live longer. She uses psychological facts to provide textual evidence. B.Carley's opinion is that dogs provide great home security. She uses the fact that a puppy would be a great gift as evidence. C.Carley's opinion is that dogs teach responsibility to kids. She uses an online article as textual evidence. D. Carley's opinion is that a puppy would be a great birthday gift. She uses scientific evidence about children learning responsibility to support her opinion. Mr. Gregory sold several cars this week. Here is some data about the cars he sold. Car sold Retail price Miles per gallon Seats Navigation? Accord \$22,205$22,205dollar sign, 22, comma, 205 323232 555 no Altima \$22,500$22,500dollar sign, 22, comma, 500 323232 555 no Camry \$23,070$23,070dollar sign, 23, comma, 070 303030 555 yes ... ... ... ... ... The individuals in this data set are: Choose 1 answer: Choose 1 answer: (Choice A) A Mr. Gregory's customers (Choice B) B Cars (Choice C) C Seats This data set contains: Choose 1 answer: Choose 1 answer: (Choice A) A 333 variables, 222 of which are quantitative (Choice B) B 333 variables, 333 of which are quantitative (Choice C) C 444 variables, 222 of which are quantitative (Choice D) D 444 variables, 333 of which are quantitative Which of the following describes the characteristics of the Gilded Age Era? *The expansion of the United States throughout Latin AmericaThe rise of nationalism in EuropeThe rise of big businesses, creation of monopolies and the gaining of massive sumsof wealthThe rise of civil unrest in the United States How does someone become a member of the Supreme Court? A. by popular election and Senate approval B. by judicial appointment and presidential approval C. by presidential appointment and Senate approval D. by senatorial appointment and judicial approval which among the choices is not a career opportunities of entrepreneurship Write a program which simulate rolling dice. When the program runs, it will prompt the user to choose a number ranging from 1 to 6. It will then randomly choose a number between 1 and 6. The program will print the message "Your guess is correct!" if the guess number equals to the dice number, otherwise it will print "Wow! The dice number is --.". It should then ask the user if youd like to roll again. Enter "1" to roll again and enter "0" to end the game. Concepts to keep in mind:Concepts to keep in mind: Random Integer Print While LoopsOutput:Enter your guess number between 1 and 6: 5Wow! The dice number is 1Do you want to dice it up again:Enter 1 and if not enter 01Enter your guess number between 1 and 6: 4Wow! The dice number is 1Do you want to dice it up again:Enter 1 and if not enter 01 do you think you could make it as a gentry-scholar during the Tang Dynasty? Why or why not? What is emphasized in the poem that is absent from the painting? PART B: How does this affect the meaning?Text " Landscape with the Fall of Icarus" Which of the following had the highest viscosity honey, milk, water Physiological age is the number of years a person has been alive A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.How many square inches of cardboard are recycled? Which of the following represents a possible chromosome number of a species that uses sexual reproduction, and why?A62, because this number will create a diploid cell, the result of both female and male gametes combined.B62, because this number will create a haploid cell, allowing both female and male gametes to be combined.23, because this number will create a diploid cell, the result of both female and male gametes combined.oD23, because this number will create a haploid cell, allowing both female and male gametes to be combined Find the slope of the line below