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

find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.

Answers

Answer:

97 1/3 or 97.3333

Step-by-step explanation:

multiply 2 2/3 by 36 1/2

:)

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

5.735

pythagorian theorem is a^2 + B^2 = c^2

C is the longest side of the right triangle

9 subtracted from 2x gives the result 5 Find the value of x.

Answers

Answer:

x = 7

Step-by-step explanation:

Just write what you see in terms of a formula.

2x - 9 = 5

Solve for x

add both sides by 9

2x = 5 + 9

2x = 14

divide both sides by 2

x = 14/2

x = 7

Answer:

x = 7

Step-by-step explanation:

9 subtracted from 2x gives the result 5. Find the value of x.

Translate:

2x - 9 = 5

Simplify:

2x - 9 = 5 <== add 9 to both sides

    + 9  + 9

2x = 14 <== divide both sides by 2 to isolate the variable

/2    /2

x = 7

Hope this helps!

Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)

Answers

Parallel lines have equal slope but different y-intercepts.

slope intercept form:
y = mx + b (where m = slope
and b = y-intercept)

simply subtract 9 from both sides of the given equation to get slope intercept form of the first line:
y + 9 = -3/2x
y + 9 - 9 = -3/2x - 9
y = -3/2x - 9

so the slope (m) = -3/2

the problem tells us a point on the second line (x,y) or (-8,9)

and we now know slope is -3/2

so let’s plug those in and solve for the y-intercept (b) of the second line.

y = mx + b
9 = -3/2(-8) + b
9 = 12 + b
9 - 12 = 12 - 12 + b
-3 = b

so now we know the slope (m) of both lines is -3/2 and the y-intercept (b) of the second line is -3

all we have to do is use the information to establish slope intercept form of the equation of the second line:

y = mx + b
y = -3/2x - 3

The answer is: y = -3/2x - 3

check your answer by plugging the point (-8,9) back in to your equation

9 = -3/2(-8) - 3
9 = 12 - 3
9 = 9 [TRUE]

You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?

Answers

Answer:

salary: $40,000÷18% = $ 222. 222 22

222 222 22÷40,000×100%

= 555.56%

Determining the Conic Type from General Form

Identify the conic section that is represented by the equation.


2x^2 – 4x + 5y^2 – 3y + 2 = 0


circle

ellipse

parabola

hyperbola


Answer: B "ellipse"

Answers

to check what type of conic it may be, we first check the squared variables, their coefficents and sign.

in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.

if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.

if the coefficients are different, like in this case, we have an ellipse.

Answer:

photo

Step-by-step explanation:

can someone help me.​

Answers

Step-by-step explanation:

side of square = 10

area of square = side² = 10² = 100 cm²

P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???

Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.

Answers

Answer:

N/a^3/2

Step-by-step explanation:

loga(N/X)=3/2

N/X= a^3/2

X= N/a^3/2

Step-by-step explanation:

When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:

[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]

Then use the formula:

[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]

[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]

[tex]x = n {a}^{ - \frac{3}{2} } [/tex]

give me full working and explanation and I give you stars. deal..?​​

Answers

Length: 44 metre

perimeter of rectangle = 2(length+breadth)

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 m

NEED HELP ASAP! WILL GIVE BRAINLIEST!!


1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?

1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1. A and C
2. D and B
3. A and B
4. C and D

Answers

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

It the C and D I promise you it’s correct.

Find the area of the parallelogram. 24 cm 9cm 8 cm

Answers

the area is 1728 cm give brainyiest

What is the third angle on a triangle with angels of 30 and 60?​

Answers

Answer:

90 degrees

Step-by-step explanation:

a triangles angles add up to 180

this means that you can add all the angles together and get 180

you can first add 30 and 60 and then subtract the sum from 180

30 + 60 = 90

180 - 90 = 90

the last angle is 90 degrees

Hey ! there

Answer:

Third angle is equal to 90 degrees

Step-by-step explanation:

In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .

For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.

Solution : -

As we know that ,

First angle = 30°

Second angle = 60°

Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)

So ,

[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]

Step 1 : Adding 30° and 60° :

[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]

Step 2 : Subtracting 90° from both sides :

[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]

On further calculations , We get :

[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]

Henceforth , value of x that is our third angle of triangle is 90° .

Verifying : -

Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,

Angle 1 + Angle 2 + Angle 3 = 180°

30° + 60° + 90° = 180°

90° + 90° = 180°

180° = 180°

L.H.S = R.H.S

Hence , Verified .

Therefore, our solution is correct .

#Keep Learning

(07.04 LC)
If 9x = 63, then x =
(Only input whole number) (1 point)

Answers

Answer: x = 7

Step-by-step explanation:

Question: If 9x = 63, then x = ?

9x = 63

x = 63/9

x = 7 answer

The value of x is 7.

hope that helps...

The first three terms of a sequence are given. Round to the nearest
а
thousandth (if necessary).
25, 150, 900, ...
Find the 9th term.

Answers

Answer:

I'm sorry I don't know

Step-by-step explanation:

hopefully someone solves this!

The 9th term of the geometric sequence will be 41,990,400.

What is a geometric sequence?

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

25, 150, 900, .....

The first term is 25 and the common ratio is calculated as,

r = 150 / 25

r = 6

Then the 9th term of the sequence is given as,

a₉ = 25 · (6)⁹⁻¹

a₉ = 25 · (6)⁸

a₉ = 25 · 1,679,616

a₉ = 41,990,400

The 9th term of the geometric sequence will be 41,990,400.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ7

Please help me. I will make Brainliest

Answers

i believe the correct answer is D

What’s bigger - 2/3 or -0.8

Answers

Answer:

-2/3  is greater than  -0.8

Step-by-step explanation:

-2/3 when made into a decimal is about -0.67

This is greater than -0.8 because -0.67 covers less area when put into a visual.

Answer:

Convert -0.8 into a fraction or -2/3 into a decimal;

-2/3 in decimal form = -0.666...

Compare the two decimals;

-0.8 __ -0.666...

-0.8 < -0.666..., so -2/3 is greater.

**PLS HELP BRAINLIEST**

Answers

Answer:

x < 10

Step-by-step explanation:

the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.

Answer:

x<10

Step-by-step explanation:

Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10

Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?

Answers

Answer:

$31

Step-by-step explanation:

295 minus 16 is 279

that's how much they were all together

and divide 279 by 9 and you get 31

1/secA+tanA = 1-sinA/cosA

Answers

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

What is the result of adding these two equations?

2x+7y=4
-2x-8y=-2

Answers

Answer:

y=-2

Step-by-step explanation:

2x-2x=0

7y-8y=-y

4-2=2

-Y=2

Y=-2

After adding them together you should get -2

Please HELP ME! PLEASE!

Answers

Answer:

-     8/4x^6-5x^5+2

Step-by-step explanation:

Solve the system of equations below. 4x+1=16 2x+30= - 2

Answers

Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.

Answers

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.

A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates

Answers

C 676,000 license plates

Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?

Answers

The proportional relationship between (0,0) and (4,11) represents a direct variation

The equation that represents the graph is  y = 11x/4

How to determine the equation of the graph?

The points on the graph are given as:

(x,y) = (0,0) and (4,11)

The equation of the graph is then calculated using:

y = (y₁/x₁) * x

This gives

y = (11/4) * x

Evaluate

y = 11x/4

Hence, the equation that represents the graph is  y = 11x/4

Read more about proportional relationships at:

https://brainly.com/question/12242745


In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?

Answers

Answer:

50% or 0.5

Step-by-step explanation:

Based on the given conditions, formulate: (5+11-2)÷28

Calculate the sum or difference: 16-2/28

Calculate the sum or difference: 14/28

Cross out the common factor: 1/2

get the result: 50% or 0.5

Answer: 50% or 0.5

how do i find out decimal parts of money?

Answers

Answer:

A dollar is a whole amount and is written to the left of the decimal.

...

In 1 dollar there are 100 cents and we write them after a period:

1 cent of a dollar is written $0.01.

10 cents of a dollar is written $0.10.

1 dollar and 1 cent is written $1.01.

1 dollar and 10 cents is written $1.10.

Money Is a Special Decimal

All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.

Please help me with this please and thank you

Answers

answer is C thank you very much

Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)

An experiment consists of rolling a die and then flipping a coin.

The following tree diagram shows the possible outcomes.


A 2-column tree diagram: die and coin. The die column has numbers 1 through 6. Each number branches to H & T in the coin column.

© 2018 StrongMind. Created using GeoGebra.


What is the probability of rolling a 6 or landing on tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

1/3

Step-by-step explanation:

If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.

[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]

Theres a 1/3 more chance of tails than rolling 6

The probability of rolling a 6 or rolling a die is 2/3.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

An experiment consists of rolling a die and then flipping a coin.

Probability = Number of desired outcomes / Total outcomes

Probability of rolling a 6 = 1/6

Probability of landing on tails = 1/2

P(A or B) = P(A) + P(B)

Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.

P(A or B) = 1/6 + 1/2 = 4/6 = 2/3

Hence the required probability is 2/3.

Learn more about Probability here :

https://brainly.com/question/30034780

#SPJ2

FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).

Answers

Answer:

y = -2/5x^2 - 14/5x  - 4

Step-by-step explanation:

y = a(x + 2)(x + 5)

At y intercept:

-4 = a(2)(5)

10a = -4

a = -2/5.

So the equation is

y = -2/5(x + 2)(x + 5)

y = -2/5(x^2 + 7x + 10)

y = -2/5x^2 - 14/5x  - 4

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