The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 40,000 ​mosquitoes? What is the size of the colony after 4 ​days?

Answers

Answer 1

Answer:

5832 mosquitoes

Step-by-step explanation:

As we know

[tex]A = A_0 * e^{kt}\\[/tex]

Where A is the population after t days

A0 is the initial population

k is rate constant and

t is the time in days

Substituting the given values we get

[tex]1900 = 1000 * e^{1 * k}\\1.9 = e^{1 * k}\\k = 0.587[/tex]

Size of colony after 4 days

[tex]A = 1000 * e^ {(0.587*4)}\\A = 5832[/tex]mosquitoes


Related Questions

help me now i need this question right away

Answers

Answer:

It will be 120°

It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.

Sorry if my explanation isn't that good.

I need help on 11 and 12.

Answers

I need help with this please respond rn

Please help because I have to submit this this week

Answers

Answer:

67

Step-by-step explanation:

its a 90 degree angle so u have to do 90-23 which equals to 67

Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Given

[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15

= [tex]\frac{5y+3y+9}{15}[/tex]

= [tex]\frac{8y+9}{15}[/tex]

(b)

Given

[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8

= [tex]\frac{3x-2x-10}{8}[/tex]

= [tex]\frac{x-10}{8}[/tex]

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Step-by-step explanation:

(a)  y/3 + (y + 3)/5

     The LCD of 3 and 5  is 15 so we have:

     5y/15 + 3(y + 3)/15

      = (5y + 3(y + 3)) / 15

     = (5y + 3y + 9)/15

     = (8y + 9)/15.

b)  3x/8 + (x + 5)/4

     The LCD of 4 and 8  is 8 so we have:

     3x/8 + 2(x + 5)/8

      = (3x + 2x + 10) / 8

      = (5x + 10)/8.

     

Help please due today!

Answers

12

Square of 13 equals 169

Square of 5 equals 25

169-25= 144

144 square root equals 12

Answer:

12 is the answer

(Also have a nice day!)

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3​

Answers

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin^2(x)=\sin(x)[/tex]

For the interval [0, 2π).

First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:

[tex]2\sin^2(x)-\sin(x)=0[/tex]

We can factor:

[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]

By the Zero Product Property:

[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]

Solve for each case:

[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]

Use the unit circle to solve:

[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]

Hence, our answer is A.

*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.

What is the volume of a hemisphere with a diameter of 8.6 ft, rounded to the nearest tenth of a cubic foot? \text{Volume of a Sphere:}

Answers

Answer:

volume V = 166.519071 ft^3

Step-by-step explanation:

radius r = 4.3 ft

base circumference C = 27.0176968 ft

volume V = 166.519071 ft^3

curved surface area A = 116.176096 ft^2

base surface area B = 58.0880482 ft^2

total surface area K = 174.264144 ft^2

In Terms of Pi π

base circumference C = 8.6 π ft

volume V = 53.0046667 π ft^3

curved surface area A = 36.98 π ft^2

base surface area B = 18.49 π ft^2

total surface area K = 55.47 π ft^2

Volume of a hemisphere:

V = (2/3)πr^3

Volume=166.519 cubic foot

What is the answer to 1552+452

Answers

Answer:

2004

Step-by-step explanation:

hope this is helpful

Answer: it is 2004

Step-by-step explanation:

To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?

Answers

Answer:

d≈14.99ft

Step-by-step explanation:

Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. ​ A Step 1: 92 + 152 = c2 B Step 2: 81 + 225 = c2 C Step 3: 306 = c2 D Step 4: 306−−−√ =c E Step 5: c≈17, so BCis about 17 in.

Answers

Answer: A

Step-by-step explanation:

I need your help asap​

Answers

1 - d

2 - e

3 - a

4 - c

Hope this helps!

2-e
4-c
3-6
1b
This is the answer to your question please

Vhich expression shows that the quotient

Answers

Answer:i think the answer d

Step-by-step explanation:

Answer:

2nd option is the correct answer.

[tex] \frac{6x - 1}{9x - 3} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]

What are the equations for the horizontal and vertical lines through (−2, 0)?

A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0

Answers

The answer is A, vertical is x=-2 and y=0.

What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points

Answers

Answer:

(-2,9)

Step-by-step explanation:

Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate

Answers

12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8

thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8

Hello can someone plz help me? Plz show your work

Answers

4 times 7 is 14 so I think the answer is 14. So diane played 14 minutes more than Sandra. So I think the answer is 14!

Step-by-step explanation:

Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;

4=x(Sandra)

Diane= 7(x)

=7(4)

=28

When adding polynomials, you combine like terms. Then put the polynomial in standard form. true or false

Answers

Answer:

True

Step-by-step explanation:

Polynomials are expressions containing one or more variables that are raised to powers beyond 2.

In standard form, a polynomial may be arranged based on the power of the variable. For example

X^3 + 2x^2 + 5

The above polynomial has been arranged in standard form. To add or subtract two polynomials, the two expressions are rearranged to combined like terms and then organized in standard form

a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?

Answers

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

                             = 10692 cubic inches

any body can help me pls i need help

Answers

Answer:

2

Step-by-step explanation:

You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?​

Answers

Answer: 36%

Step-by-step explanation:

Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.

Answers

Unfortunately, I don’t knooow :(

Answer: The value of the expression is (12)

Step-by-step explanation:

Got it right

Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.

Answers

Answer:

The length of side c would be 26.0.

Step-by-step explanation:

Answer:

A) 26

Step-by-step explanation:

Which transformation of Figure A results in Figure A′?




A.) a translation 3 units left and 4 units down.

B.) a reflection across the x-axis

C.) a counterclockwise rotation of 270° about the origin

D.) a counterclockwise rotation of 90° about the origin

Answers

Answer:

It is D

Step-by-step explanation:

It is the only reasonable answer

If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?

Answers

You will roll the number one 24 times.

Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the
percentage decrease of Jane's closet space?
A. 30%
B.62%
C.38%
D.61%

Answers

Answer:

c. 38$

Step-by-step explanation:

The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.





What is the area of the base of the solid that is formed?




16π in.²


36 in.²


64π in.²


144 in.²

Answers

Answer:

16π in.²

Step-by-step explanation:

i took the quiz and got it right

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.

Answers

Answer:

Step-by-step explanation:

What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)

Answers

Answer:

slope = undefined

Step-by-step explanation:

To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:

[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]  

However, we can't divide by zero. This must mean that the slope of this line is undefined.

A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool

Answers

Answer:

[tex]V=650.25\ yards^3[/tex]

Step-by-step explanation:

Given that,

Length = [tex]12\dfrac{3}{4}\ yards[/tex]

Width = [tex]5\dfrac{2}{3}\ yards[/tex]

Depth = 9 yards

We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :

[tex]V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3[/tex]

So, the volume of the swimming pool is equal to [tex]650.25\ yards^3[/tex].

Other Questions
Find the nth term of the following sequences. Also find the 9th and 6th terms . 7. What was one advantage of the Stanford-Binet scale intelligence tests over previous ones?The Stanford-Binet scale tests were more accurate.The Stanford-Binet scale tests were given with paper and pencil versus conducting one-on-one interviewsThe Stanford-Binet scale tests accounted for differences in social class.The Stanford-Binet scale tests accounted for differences in test takers from different social classes. What is the importance of knowing and understanding the author's purpose in a certain type of text? What is a transactional email?a. An email usually sent regularly to the whole email listb. An email sent to select segments of the email list during specific times of the year, like holidaysc. An email sent to an individual to update him/her about a purchased. An email sent only to purchasers who sign up for an email list advertising, personal selling, sales promotion, and public relations make up the: group of answer choices communication model advertising campaign marketing mix promotional mix What is a maximum load weight? three equal-sized containers are filled with gases at stp. which container holds the greatest number of molecules? without the 4th amendment how could the police be prevneted into breaking into someones house in the middle of the night You arrive on the scene where a patron appears to be injured. Before approaching the victim, which of the following will you NOT do as you size-up the scene? FILL IN THE BLANK To avoid IRS reporting requirements under the ______, transfers of cash to cashier's checks or $100 bills must take place in amounts under $10,000 or through banking officials who agree not to fill out a CTR. In the case of regression with interactions, the coefficient of a binary variable should be interpreted as follows:A)there are really problems in interpreting these, since the ln(0)is not defined.B)for the case of interacted regressors, the binary variable coefficient represents the various intercepts for the case when the binary variable equals one.C)first set all explanatory variables to one, with the exception of the binary variables. Then allow for each of the binary variables to take on the value of one sequentially. The resulting predicted value indicates the effect of the binary variable.D)first compute the expected values of Y for each possible case described by the set of binary variables. Next compare these expected values. Each coefficient can then be expressed either as an expected value or as the difference between two or more expected values. Im a bit stuck can I get some help a buyer obtains a mortgage loan that covers the purchase of a condominium plus furniture, appliances, and other personal property, such as towels and kitchen utensils, has a What are the characteristics of developed and developing countries? Hello may I please get some help with this question What is political gerrymandering quizlet? after one man traveled to the us from liberia with the ebola virus in 2014, many americans debated whether full travel bans should be instituted to and from countries with confirmed cases of ebola. this is not only an example of how globalization can potentially create a public health disaster, but also highlights which social aspect of intensified globalization? What is the end behavior of the graph of f x x5 8x4 16x3? When it comes to saving money, the amount you save is determined by how much you have left when all your spending is done.True/False What is the point of Justice Harlan's dissenting opinion?