9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.

Answers

Answer 1

#1

3days back means 3

Put it

[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]

[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]

[tex]\\ \rm\Rrightarrow p=1562.5[/tex]

Now

#2

Let's see

[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]

[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]

[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]

[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]

[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]

[tex]\\ \rm\Rrightarrow d=-1.654[/tex]


Related Questions

At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?​

Answers

Answer:

i believe that its 84

Step-by-step explanation:

Find the measure of the angles.
3
62
mZ1 =
mZ2 =

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Answer:

Step-by-step explanation:

HELP PLEASE!!!! <3


Algebraically find the slope and the y-intercept of 3y - 8 = 2x.

thank you!!

Answers

Answer:

slope = 2/3     y intercept = 8/3

Step-by-step explanation:

re-arrange to slope intercept form    y = mx + b

3y = 2x + 8

y = 2/3 x + 8 / 3  

Answer:

[tex]Slope=\frac{2}{3}[/tex]  

[tex]Y-Intercept=\frac{8}{3}[/tex]

Hope This Helps! :)

41.6%, 15/25, 4.3, 18.4, 1/4 greatest to least
I will mark brainliest and please no links

Answers

Answer:

18.4, 4.3, 0.6, 0.416, 0.25

Step-by-step explanation:

Change all sets to the same value (decimal)

41.6 / 100 (move decimal 2 to the left) =

0.416

15/25 =

0.6

4.3

18.4

1/4 =

0.25

Data:

0.416, 0.6, 4.3, 18.4, 0.25

greatest to least;

18.4, 4.3, 0.6, 0.416, 0.25

Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *​

Answers

The points P, Q and R are collinear points on the number line

The distance PQ is 0.6The distance QR is 0.3

How to determine the distance between P and Q?

From the number line we have:

P = -0.6

Q = 0

The distance is calculated as:

PQ = Q - P

This gives

PQ = 0 - -0.6

Evaluate the difference

PQ = 0.6

Hence, the distance PQ is 0.6

How to determine the distance between R and Q?

From the number line we have:

R = 0.3

Q = 0

The distance is calculated as:

QR = R - Q

This gives

QR = 0.3 - 0

Evaluate the difference

QR = 0.3

Hence, the distance QR is 0.3

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

The distance PQ is 0.6

The distance QR is 0.3

lat a = the length of a car in meters. Let b = the length of the same car in centimeters. which number is greater, a or b? Answer for 100 points.

Answers

Answer:

B

Step-by-step explanation:

Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.

B is the answer I’ve had this question on one of my tests and I got a 93 average

An electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television

Answers

The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.

For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

In this problem:

45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Check all fractions equivalent to 3⁄9?

Answers

Answer:

I don't see the problem, Where is the image?

Josh ran a two-lap race in 117.92 seconds. He ran the second lap in 59.13 seconds. How long did it take him to run the first lap?​

Answers

Answer:

According to my calculation this is the answer.Hope the picture will help you...

Solve the triangle. Round to the nearest tenth.

Answers

answer:

213.176 units^2

explanation:
1) find the height

10.8^2+h^2=22.5^2
h^2=389.61

h=19.7

2) use formula to find area

A=1/2bh

A=1/2(21.6)(19.7)

A=213.176

--

if this helped, please consider giving brainliest !

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side: 2√14

using pythagoras theorem:

a² + b² = c²

t² + 5² = 9²t² + 25 = 81t² = 81 - 25t² = 56t = √56t = 2√14

Answer:

The unknown side of this triangle is 56 or 214

Step-by-step explanation:

Let the unknown side of this right angled triangle be x , so by using Pythagoras theorem we can find out the third side .

=> P² + B² = H²

=> P² = H² - B²

=> P² = 9² - 5²

=> P² = 81 - 25

=> P² = 56

=> P = √56 or 2√14

If u have 18 gallons of gas an you drove 250 miles how much gas is left

Answers

Answer:

Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=0.5x-6

Step-by-step explanation:

check out the attached photo

Answer:

y=0.5x-6

Step-by-step explanation:

Find the standard deviation of the data given below: Ans: 12.03 Class Interval 10-20 20-30 30-40 40-50 50-60 frequency10 12 4 8 6 -20​

Answers

Answer:

•Make sure all words are spelled correctly.

•Try different keywords.

•Try more general keywords.

•Try fewer keywords.

I HOPE IT'S HELP <3

There are 8 teams to play against each other in a tournament. How many ways can 1st and 2nd place be awarded at the end of the tournament?

Answers

Answer:

28

Step-by-step explanation:

Correct option is C)

Matches played between 8 teams =7+6+5+4+3+2+1=21

The number of ways that can 1st and 2nd place be awarded at the end of tournament is 56.

What is permutation?

A permutation is an arrangement of objects in a definite order. The members of elements of sets are arranged here in a sequence where order matters.

According to the given question

we have  to find,

Number of ways  for 1st and 2nd place can be awarded

Number of ways for 1st place be awarded  = 8

Number of ways for 2nd place be awarded = 7

Therefore,

The total number of ways can 1st and 2nd place be awarded = (8)×(7)

=56.

Learn more about permutation here:

https://brainly.com/question/2295036

#SPJ2

The problem is the screenshot

Answers

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.

What is his rate of commission?______% ( Round to the nearest tenth of a percent)

Answers

Answer:

its 10.5

Step-by-step explanation:

If you divide what alex earned by his total sales, you get 10.5%.

Find the mean for the following fractions
d
d + 1
d +5
4
12
24

Answers

Answer:

d+d+1+d+5+4+12+24/6

Step-by-step explanation:

add the numbers and divide them by 6

Answer:

3d + 432

Step-by-step explanation:

= d ÷ 4 + d + 1 ÷ 12 + d + 5 ÷ 24

= d + d + d + 1 + 5 ÷ 4 ÷ 12 ÷ 24

= 3d + 6 ÷ 0.013888.....

= 3d + 432

Please mark BRAINLIEST

110% of 90 is what number a ?

? = 110 over 100
please help​

Answers

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

Answer:

The answer is a = 99

Step-by-step explanation:

We can solve this using ratios

First we set up the equation:

[tex]\frac{a}{90}= \frac{110}{100}[/tex]

Then cross-multiply:

[tex]100 * a = 90 * 110[/tex]

Simplify:

[tex]100 * a = 9,900[/tex]

Divide both sides by 100:

[tex]a = 99[/tex]

Ta-Da! The answer is a = 99

Hope this helps! :)

3800 millimetres expressed in metres is​

Answers

Answer:

3.8 meters

Step-by-step explanation:

1000 mm=1m

3000mm = 3m

500mm=.5

100mm= .1

800mm=.8m

3800mm=3.8

Haven baskets manufacturers 83,575 woven baskets a year. determine the minimum sales price Haven baskets must sell each basket for to break even, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.
$21.95
$24.50
$29.65
$31.25​

Answers

Answer:

Step-by-step explanation:

Givens

Number of baskets sold = 83575

sale price of each = x

Fixed Cost of producing these baskets = 817363.50

Variable cost whis is part of the production of each basket = 12.17

Break Even means the costs = income.

Equation

83575*x = 12.17*83575 + 817363.50       Combine the multiplied facts

Solution

83575x = 1017107.75 + 817363.50          Combine addition on right

83575x = 1834471.25                               Divide by 83575

x = 1834471.25/83575

Answer: x = 21.95

Can someone help me with this??

Answers

Answer:

36

Step-by-step explanation:

10+8+6+6+6

Area of the top rectange is 10 (2x5)

Area of the bottom rectange is 8 (2x4)

Area of the right rectangle is 6 (2x3)

Area of both the triangles are 6 (4x3 divided by 2)

Please help l just don’t understand new topic

Answers

Perimeter is found by adding all sides. And since you’re given the perimeter just do it backwards. X+x+y+y=48.

Can someone please help me solve this? or at least explain how I would go about solving this?​

Answers

Answer:

find the probaillity of each one.

Step-by-step explanation:

is this right?????? or not if it's not what's the correct answer (mark brainiest)

Answers

Answer:

Yes.

Step-by-step explanation:

You always do the operations in parenthese first.

"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations

Answer:

B. (20 ÷ 4 - 2 + 1)

Solved, the equation equals 29.

Step-by-step explanation:

Order of operations: PEMDAS

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

9 + 5 × 2(20 ÷ 4 - 2 + 1)

The first step would be to do the operations inside the parantheses.

9 + 5 × 2(20 ÷ 4 - 2 + 1)

So,

(20 ÷ 4 - 2 + 1)

There are several operations, so lets look at PEMDAS again..

Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.

(20 ÷ 4 - 2 + 1)

20 ÷ 4 = 5

So, we replace '20 ÷ 4' with '5'

(5 - 2 + 1)

Next, we add.

(5 - 2 + 1)

2 + 1 = 3

Now, replace '2 + 1' with '3'

(5 - 3)

Now, we just subtract 3 from 5.

5 - 3 = 2

So now our equation looks like this:

9 + 5 × 2(2)

Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:

9 + 5 × 2(2) → 2 × 2 = 4

9 + 5 × 4

Now, we have to multiply.

9 + 5 × 4 → 20

9 + 20 = 29

So, when you solve the equation, you get 29.

Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?

Answers

Answer:

7.72 miles

Step-by-step explanation:

Subtract 10.73 and 3.01 to find your answer

Answer:

Step-by-step explanation:

m

Maddy has a coupon for bananas. Bananas normally
cost $0.49 per pound. Maddy wants to buy 8
pounds of bananas for her team. She has a coupon
for 5 cents off per pound.
If she uses the coupon, how much will she pay?

Answers

Answer:

$3.52

There are two ways you can solve this problem.

1. Take 5 cents off before multiplying.

Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.

$0.49-$0.05= $0.44

Now multiply $0.44 by the 8 pounds.

$0.44 (8) = $3.52

2. Take the 5 cents off after multiplying

You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.

$0.49 (8) = $3.92    -> Total cost with no coupon

$0.05 (8) = $0.40    -> Total money off

Subtract the two totals.

$3.92 - $0.40 = $3.52

Answer:

I believe the answer is 3.42.

Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:

(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)

Answers

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

How to determine the solutions?

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

D.

(–2, 7) and (1, 1)

Step-by-step explanation:

I took the algebra exam

\frac{x^2+9x+14}{x^2+10x+16}
x
2
+10x+16
x
2
+9x+14

Answers

Answer:

(x+7)(x+2)

(x+2)(x+8)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

I need this ASAP!!!!!

Answers

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

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