a population of protozoa develops with a constant relative growth rate of 0.6685 per member per day. on day zero the population consists of two members. find the population size after seven days. (round your answer to the nearest whole number.)

Answers

Answer 1

When the population of a protozoa develops with a constant relative growth rate of 0.6685 per member per day, and there are two members on the day zero, the population after will consist of 7 at the end of seven days period.

The total population of the protozoa at the end of the seven days can be computed using the calculations given below,

Total Population = Growth Rate x Number of Days + Day zero Population

Total Population = (0.6685 x 7) + 2

Total Population = 6.667, or ~ 7.

Therefore, there will be 7 protozoa at the end of seven days.

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Related Questions

In two or more complete sentences, describe how to determine if the function f(x)=2cos(x) is even by looking at a graph.

Answers

The given function f(x) = 2 cos (x) is an even function because the result of the cosine of negative angles are the same with those of positive angles.

How to determine an Even Function?

To check if a function is odd or even, we have to calculate f(−x).

The function is even if f(-x) = f(x)

The function is odd if f(-x) = -f(x)

We are given the function as; f(x) = 2 cos (x)

f(-x) = 2 cos (-x)

Now, we know that the cosine of a negative angle always gives the same value as the cosine of the positive angle and as such, we can say that;

2 cos (-x) = 2cos (x)

The same result as f(x) which tells us that it is an even function

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Find the missing value. Round your answer to the nearest tenth of a percent. Principal=$1300, Rate=?, Time=18 months, Simple Interest=$90

Answers

The missing value in the simple interests formula is rate and it is solved to be 4.62%

How to find the rate

The formula for simple interest is

= P * T * R / 100

P = principal= $1300

T = time = 18 months = 1.5 years

R = rate = ?

simple interest = $90

substituting the values

90 = 1300 * 1.5 * R / 100

90 * 100 = 1300 * 1.5 * R

9000 = 1950R

R = 9000 / 1950

R = 4.615385

R = 4.62

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in regression analysis, measures the proportion of the variation in the dependent variable that is explained by the independent variable(s).

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The coefficient of determination (R² or r-squared) is a statistical measure in a regression model that determines the proportion of variance in the dependent variable that can be explained by the independent variable.

What is variance?

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

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i need help ASAP please.​

Answers

Answer:

altitude=8mm

Step-by-step explanation:

so a^2+b^2=c^2

substitute and you get

a^2+6^2=10^2

a^2+36=100

a^2=100-36=64

a^2=64

a=8

Answer: 8 mm

Step-by-step explanation:

      The altitude of the triangle can also be known as the "height" from the highest point as a straight line perpendicular to the opposite side (the "bottom" which is also known as the "base" of the triangle).

      This altitude makes two right triangles, so we will use the Pythagorean theorem to help us solve.

      a² + b² = c²

      a² + (6)² = (10)²

      a² + 36 = 100

      a² = 64

      a = 8

 

           The altitude of this triangle is 8 mm.

a binomial distribution has a 60% rate of success. there are 18 trials. what is the probablility that there will be at least 12 successes

Answers

The probability that there will be at least 12 successes in the total 18 trials with 60% rate of success is ¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰

Binomial Probability distribution, In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments.

We have given that :

Rate of sucess (p) = 60% = 0.6

Rate of failure (q) = 1 - 0.6 = 0.4

Number of trials (n) = 18

We want to find P(there will be at least 12 sucess)

Use binomial distribution to find given mentioned probability.

X ~ Bin( 18, 0.6)

P (X= x ) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Let, X= Number of success among 18

So that it suitable for binomial distribution with parameters are n and p.

P(there will be atleast 12 success)

= P(X>= 12)

18

= ∑ ⁿCₓ (p)ˣ(q)⁽ⁿ⁻ˣ⁾ =

x = 12

¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰

= say x

Hence, the required probability is x

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Which is the best estimate of the
solution for the system of linear
equations graphed below?
A.(0.5,2)
B. (1.5, 2)
C. (2,1.5)
D. (2.5, 1.5)

Answers

Answer:

B. (1.5, 2)

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

The intersection of the two lines looks to be about (1.5 , 2)

the base of the first booth is the shape of a triangle. write a polynomial that represents the area of the booth. write your answer in descending order. please use the palette below to enter your answer.

Answers

The polynomial that represents the area of the booth is 3[tex]t^3[/tex]-12t.

How to calculate polynomial for triangle area?

Polynomial is a expression of variable, coefficients, and constants with mathematics operation of subtraction, addition, multiplication, and powers (only positive integers) of variable.

So, basically to calculate polynomials is the same as normal calculations except that the numbers are changed to variables.

Base length = 2[tex]t^2[/tex]-8

Height length = 3t

Calculate the area of triangle. So,

Area of triangle = (1/2) × base × height

= (1/2) × 2[tex]t^2[/tex]-8 × 3t

= (1/2) × 6[tex]t^3[/tex]-24t

= 3[tex]t^3[/tex]-12t

Thus, the area of the booth can be written by this polynomial 3[tex]t^3[/tex]-12t.

Your question is incomplete, but most probably your full question was (image attached).

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What is the distance between (-3, 4) and (-3, 10)? on a graph

Answers

Answer:

6 units away

Step-by-step explanation:

Since they already have the same x-axis I just need to find the difference in the y-axis

Two towns have accumulated different amount of snow. IN town 1, the snow depth is increasing by 3 1/2 inches every hour, and currently has 5 inches of snow. IN town 2, the snow depth is increasing by 2 1/4 inches every hour, and currently has 6 inches of snow. In how many hours will the snowfall of both towns by equal.

Answers

The snowfall of both towns by equal in 4/5 hours or 48 minutes.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming the no. of hours to be x, therefore the expression for town 1 is

y = (7/2)x + 5 and the expression for town 2 is y = (9/4)x + 6.

The snowfall of both towns by equal when,

(7/2)x + 5 = (9/4)x + 6.

(7/2)x - (9/4)x = 6 - 5.

[(14 - 9)x]/4 = 1.

(5/4)x = 1.

x = 4/5 hours Or (4/5)×60 = 48 minutes the snowfall of both towns by equal.

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Can someone please help me

Answers

Answer:

6

Step-by-step explanation:

Perimeter = 2l + 2w

48 = 2(18) + 2(w)

48 = 36 + 2w

12 = 2w

w = 6

Could you please give me brainliest for this? Thank you!

3x + 4x +5x = 4(x + 2) Please write as the actual answer and a decimal

Answers

Answer: 1

Step-by-step explanation:

We can rewrite the equation as

12x = 4x +8

8x= 8

x=1

Simplify: 8x62x4
A.6x2
B.4x2
C.8x10
D.10x10

Answers

You Would Multiply 8x62x4 and then Multiply all of the other options a, b, c, and d and see which one matches, but none of them matches

Five bands in a tour agree to determine the order of performance based on random selection. The names are placed on cards and the cards are pulled randomly.

What is the probability of Ultraviolet performing fourth and Abacus performing last?
A: 3/5
B: 7/120
C: 7/32
D: 1/20

Answers

The probability of Ultraviolet performing fourth and Abacus performing last is 1/20.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

In a tour, five bands agree to determine the order of performance on the basis of random selection.

Since, the name of 5 bands are pulled randomly.

The probability of Ultraviolet performing fourth = 1/5

And the probability of Abacus performing last = 1/4, since 1 place is fixed for Ultraviolet.

Probability of Ultraviolet performing fourth and Abacus performing last

= 1/5 x 1/4 = 1/20

The required probability is 1/20.

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Please Help what is x

Answers

Answer:  x=[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

There are special right triangles in this! First, you need to find out what I am saying.

45-45-90 triangle

The bottom triangle has angles measures of 45, 45, and 90 degrees. There is a theorem that states that the two legs are equal, and the hypotenuse is leg×[tex]\sqrt{2}[/tex].

Plugging it in will give you leg lengths of  [tex]4\sqrt{2}[/tex].

Plug in that number into the side that connects with our next very special triangle:

30-60-90 triangle

Another theorem states that the hypotenuse is shorter leg times 2, the longer leg is shorter leg times [tex]\sqrt{3}[/tex].

Great! We have the shorter leg. Now we need to find the hypotenuse. Multiply [tex]4\sqrt{2}[/tex] by 2, and you get [tex]8\sqrt{2}[/tex]. That is x!

The final answer to this problem is: x=[tex]8\sqrt{2}[/tex]

Hope this helped a lot!

My answer would be x is equal to 8 check 2

explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .

Answers

Any n-dimensional vector should be able to be represented in space

What is standard form of a polynomial?

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable

Any n-dimensional vector should be able to be represented in space.

If it only has terms of degree n, it can only express polynomials of degree n.

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Olivia has has read 40 pages of a 70 page book, 60 pages of an 85 page book, and 43 pages. What is the percentage f pages that Olivia has not read?

Answers

Answer:

Below

Step-by-step explanation:

Total pages read = 40 + 60 +43  = 143 pages read

  Total pages of all of the books  = 70 + 85 + x  

       percentage READ =   (143) / ( 70 + 85 + x)  * 100% =  ???  

            percentage NOT read = 100 - ???

              (since 'x' was not given in the question post)

Read pages:

40+60+43=143

All pages:

70+85+43=198

198-143=55

55/198=0,2778

0,2778×100%=27.78%

Francisco is building a window seat below a bay window in the shape of an isosceles trapezoid. His blueprint for the window seat is shown below.






What is the area of the window seat?

Answers

Answer:

56

Step-by-step explanation:

If x4xy= x16, what is the value of y?

Answers

Answer:

4/x

Step-by-step explanation:

Helppppppppppppppppppppppppp

Answers

First, evaluate (-4/7)^2 to get 16/49

Then multiply by the negative for -16/49

Answer:

-[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

First do: (-[tex]\frac{4}{7}) ^{2}[/tex], which is -[tex]\frac{4}{7}[/tex]*-[tex]\frac{4}{7}[/tex] which is [tex]\frac{16}{49}[/tex] and then add in the other negative:   -[tex]\frac{16}{49}[/tex]

if a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution, what can you conclude about the students' scores?

Answers

If a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution we can say about student's score that, about an equal number of students had relatively high and relatively low score.

A symmetrical distribution entails that the scores have the same number at a given distance above or below the average. Therefore an equal number of people had relatively high and relatively low scores. This contradicts most having relatively high or low scores, or not drawing any conclusions about scores.

Symmetrical distribution is evident when values of variables occur at a regular interval. In addition, the mean, median and mode occur at the same point.

Three of the many ways to measure central tendency are the mean, median and mode.

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Solve 3x² - x = 10

A.X=2 and X=-15
B. X=-5 and X= 2/3
C. X=-5/3 and X=2
D. X=-3 and X=10

Answers

Answer:

C. x = -5/3 and x = 2

Step-by-step explanation:

Bring the 10 over to the other side of the equation.

3x² - x - 10 = 0

Factorise.

(3x + 5)(x - 2) = 0

3x + 5 = 0 or x - 2 = 0

3x = -5 or x = 2

x = -5/3 or x = 2

Given AB, find C which is 1/3 of the distance from A to B. A(1,2) ​B(-5,8)

Answers

Answer: (2,0)

Step-by-step explanation:

question: 14. which of the following shapes replaces the question mark to complete the series? ? 8 oo aa

Answers

Pattern Recognition is defined as the pattern is a number, shape, or something repeated in a particular way. Analysis of patterns should consider on different basis. The correct option is option (d).

The main basis of Pattern Recognition are the following:

1. Color change

2. Shape change

3. Rotation change

4. Size change

we have given three shapes pattern and we have to find out the perfect shape for forth place and the required shape follow the order like others.

After examine the pattern, we can see that the first figure is a filled triangle and the second figure is a hollow circle. This pattern is maintained alternately. The last figure(3rd place) is an open circle, so the next figure is a filled triangle.

So, the correct option is d.

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Someone answer this please thank you

Answers

Answer:

The answer is 1/2

Step-by-step explanation:

x1 y1. x2. y2

(5, 8) (2, 2)

So you suppose to subtract xl by x2 then subtract y1 by y2

5-2.

------=

8-2.

which equal 3/6. Which 3/6 is equal to 1/2

Find the area of the composite figure. I got 78 but my teacher said that it is incorrect. WILL MARK BRAINLIEST! Thanks!

Answers

Answer:

44

Step-by-step explanation:

Essentially there are 3 triangles

The top left has a base of 5 and a height of 4

Its area is 1/2 x b x h = 1/2 x 5 x 4 = 10

Then there are two triangles with the same base of 2.5 + 6 = 8.5 and same height of 4 feet. So each of the triangles has the same area as the other.

Total area of both triangles = 2 (1/2 x b x h) = bh = 8.5 x 4 = 34

Total area = 10 + 34 = 44

Answer:

44 ft²

Step-by-step explanation:

Here's how I divided the parts of the composite figure:

1. There is a triangle at the left with the vertex pointing down and base above. The base is 5 ft. The height is 4 ft.

2. There are 4 triangles left. I divided them into two triangles like this:

An upper triangle which has a base of 2.5 ft + 6 ft, and a height of 4 ft with a horizontal base on the bottom and a vertex on the upper side.

A lower triangle that is a mirror image of the triangle just above. The dimensions are the same.

Triangle on upper left:

base = 5 ft

height = 4 ft

Triangles at right (2 triangles with the same dimensions)

base = 2.5 ft + 6 ft = 8.5 ft

height = 4 ft

area of triangle = base × height / 2

Total Area = (5 ft)(4 ft)/2 + 2 × (8.5 ft)(4 ft)/2

Total Area = 10 ft² + 34 ft²

Total Area = 44 ft²

a tower that is 106 feet tall casts a shadow 135 feet long. find the angle of elevation of the sun to the nearest degree.

Answers

The angle of elevation of the sun is [tex]tan^{-1}[/tex](106/ 135).

The angle of elevation:

The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.

Here we have to find the angle of elevation of the sun.

Data given:

length of the tower = 106 feet

shadow form by the tower = 135 feet

The formula for the angle of elevation = height/base

tanФ = height/base

        = 106/ 135

Ф = [tex]tan^{-1}[/tex](106/135)

Therefore the angle of elevation is [tex]tan^{-1}[/tex]( 106/ 135).

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33, 25, 42, 25, 31, 37, 46, 29, 38 what is the interquartile range of the data?

Answers

The interquartile range of the data will be 13

When arranged from lowest to highest, the IQR reflects the median 50% of values. To calculate the interquartile range (IQR), firstly compute the median (middle value) of the data's lower and upper halves. All those are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The interquartile range is the difference between quarters three and then one.

first, let us sort the data from lowest to highest

25,25,29,31,33,37,38,42,46

Q1- median of the lower half of the data=(29+25)/2=27

Q3-median of the upper half of the data=(38+42)/2=40

the interquartile range of the data will be Q3-Q1

40-27= 13

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use the product rule to find the derivative of the given function. b. find the derivative by expanding the product first.

Answers

The derivative of the given function using product rule is 6x+1 .

What is Product Rule?

This rule is used when we want to differentiate a function that may be regarded as the product of one or more functions.

Let u(x) and v(x) be differentiable functions.Then the product of the functions u(x)v(x) is also differentiable and: (uv)′=u′v+uv′

Main Body:

We add the derivative of the first times the second to the first times the

derivative of the second.

Power Rule:

If f(x)=xn

where n is any real number, then:

(xⁿ)′=nxⁿ⁻¹

. We have,

f(x) = (x-1) (3x+4)

Differentiate with respect to z by using product rule

(uv)′=u′v+uv′

h' (x) = (x-1)' (3x+4) +(x-1)(3x+4)'

h'(X) = 1(3x+4) + (x-1) (3)

On simplifying:

h'(x) = 3x+4 +3x-3

h'(x) = 6x +1

Hence the derivative of function is 6x+1.

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9 2 8 7 6 5 1 4 3 show the contents of the array above each time an insertion sort changes it while sorting the array into ascending order.

Answers

The array that has been sorted using insertion sorting 1 2 3 4 5 6 7 8 9.

A straightforward sorting algorithm called insertion sort functions like how you might arrange playing cards in your hands.

Initial Pass: 2 9 8 7 6 5 1 4 3

The array's first two members are initially compared using an insertion sort.

Since 9 is bigger than 2, they are not arranged in ascending order, and 2 is not in the proper place. So, switch 9 and 2.

Therefore, 2 is currently kept in a sorted sub-array.

Second Pass: Continue with the next two elements and compare them.

2 8 9 7 6 5 1 4 3

Here, 9 is bigger than 8, therefore both items appear to be in ascending order; as a result, there won't be any switching. Along with 8, 9 is also kept in a sorted sub-array.

Third pass: Currently, the sorted sub-array has two entries, which are 2 and 8.

Moving on to the following two components, which are 9 & 7,

2 7 8 9 6 5 1 4 3

Continue sorting similarly; the results would be 1 2 3 4 5 6 7 8 9.

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Triangle PQR has the following measures: p= 16.2 m, q = 35.0 m, and m/R = 75°.
What is the area of triangle PQR?

Answers

After solving the area of the triangle PQR obtained will be equal to 273.6 m²

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given information given in the question,

p= 16.2

q = 35.0 m and,

m ∠R = 75°

Find x by cosine rule,

cos 75° = (16.2² + 35² - x²)/(2 × 16.5 × 35)

x = 34.5 m

The value of r is 34.5 mm then the third side of the triangle pqr will be,

Use heron's formula,

s = (16.2 + 35 + 34.5)/2

s = 42.85

Area = [tex]\sqrt{s(s-p)(s-q)(s-r)}[/tex]

A = √42.85(42.85 - 16.2)(42.85 - 35)(42.85 - 34.5)

A = 273.6 m²

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If you stood outside an NBA championship game and sold your ticket for double the original price, you'd be engaged in _____ pricing.a. prestigeb. cost-basedc. unsportsmanliked. demand-based what would happen if there were suddenly no computers,tables or phones of any kind anywhere on earth if the moon were five times more distant from earth than it is now, how would the gravitational force that earth feels from the moon be different? What is an equation of the line that passes through the points (4, 4) and (8, 5)? an adult client with low functioning down syndrom (trisomy 21) appears in the emergency department via ambulance after an accident. which assessment method would be the best instrument to use when determining the client's level of pain Propose an efficient synthesis for the following transformation: The transformation above can be performed with some reagent or combination of the reagents listed below. Give the necessary reagent(s) in the correct order, as a string of letters (without spaces or punctuation, such as "EBF"). If there is more than one correct solution, provide just one answer. During the Middle Pleistocene, there is evidence that temporary shelters were built bya. Australopithecus.b. premodern Homo sapiens.c. Paranthropus.d. Homo erectus.e. Homo habilis. Determine whether or not each of the following have the well-ordering property (i.e. whether "WOP(A;)" holds/is true or if is fails/is false). If for a set Ai, WOP(Ai) fails, then give a nonempty subset E of the set Aj which has no least element, i.e. give a subset that serves as a counterexample to "WOP(A;)", in other words give a witness that shows that the well- ordering property fails. 1 (iv) A4 = {5i + lien} = {} \}} (v) A5 ne Z\ {0} n (vi) A6 = {-5, 7, 10, 13} which land formation is not the result of a convergent boundary? buildingsdo not absorb much heat.can affect the surface albedo.have a net cooling effect on urban environments.have a net effect of cooler evenings in urban environments.can affect the surface albedo. Which inference about Jonathan and his family is best supported by the text? When did the Supreme Court first meet? Please answer! Another math prob! early diagnosis for diabetes mellitus in the older adult is more difficult due to the presentation of nonspecific manifestations of the disease. therefore, how often should the nurse obtain fasting blood glucose levels to determine a diagnosis? your money in the bank can be viewed as inventory. which of the following is not the corresponding inventory holding cost? losing the chance to make a more profitable investment value deterioration due to the inflation rate account maintenance fee income tax due to the interest income Find the value of so that the graph of the equation has the given y-intercept Y= -1/3x + 5/6k; b= -10 if a project has a net present value equal to zero, then: multiple choice the project's pi must also be equal to zero. a decrease in the project's initial cost will cause the project to have a negative npv. any delay in receiving the projected cash inflows will cause the project to have a positive npv. the total of the cash inflows must equal the initial cost of the project. the project earns a return exactly equal to the discount rate. 5. Find the volumes of the following sugar containers. Round toDomino 1 decimal place.SUGARa. Domino granulated sugar in canister: radius-1.56 inches;height-6.93 inchesinb. Domino sugar cubes in box: length-15.5 cm; width-8.6 cm;height-3.8 cm.DominoSUGAR CUBEScm the nurse is caring for a client who is receiving iv vancomycin. the nurse infuses the medication at the prescribed rate to prevent what from occurring? Tom, a trumpet player, asks you which muscles he should develop in order to be a better trumpeter. What would you tell him?A) the masseter and buccinatorB) the buccinator and orbicularis orisC) the orbicularis oris and risoriusD) the risorius and zygomaticus minorE) the levator labii superioris and mentalis