13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters.

Answers

Answer 1

Answer:

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Step-by-step explanation:

Given

The given parameters both represent diameters

Plant Cell; P = 1.26m

Bacterium; B = 5.1m

Required

Compare both diameters;

Write out both expressions

[tex]P = 1.26[/tex]

[tex]B = 5.1[/tex]

Divide B by P

[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]

[tex]\frac{B}{P} = 4.04761904762[/tex]

Approximate

[tex]\frac{B}{P} = 4.05[/tex]

Multiply both sides by P

[tex]P * \frac{B}{P} = 4.05 * P[/tex]

[tex]B = 4.05 * P[/tex]

[tex]B = 4.05P[/tex]

This implies that;

The diameter of the bacterium is 4.05 times the diameter of the plant cell


Related Questions

Write the equation for the line that passes through the points (4, 5) and
(6,9). *

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

Answer:

y = 2x - 3

Step-by-step explanation:

gradient of the line is

[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]

equation will be:

[tex] \frac{y - 5}{ x - 4} = 2[/tex]

y - 5 = 2x - 8

y = 2x - 3

Form a group of 17 women and 11 men, a researcher wants to randomly
select 5 women and 5 men for a study. In how many ways can the study
group be selected.

Answers

Answer:

17C5+11C5

Step-by-step explanation:

Well there are 17 and chooses 5 that's 17C5

there are 11 men abd chooses 5 that's 11C5

so add them up

17C5+11C5

The combination helps us to know the number of ways an object can be selected without a particular manner. The number of ways in which 5 men and 5 women can be selected is 2,858,856.

What is Permutation and Combination?

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be selected without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that from a group of 17 women and 11 men, a researcher wants to randomly select 5 women and 5 men for a study.

Now, the number of ways for selection can be written as,

Number of ways in which men can be selected = ¹¹C₅ = 462

Number of ways in which women can be selected = ¹⁷C₅ = 6188

Further, the number of ways for selection can be written as,

Number of ways = Number of ways in which men can be selected × Number of ways in which women can be selected

Number of ways = 462 × 6188

Number of ways = 2,858,856

Hence, the number of ways in which 5 men and 5 women can be selected is 2,858,856.

Learn more about Permutation and Combination here:

https://brainly.com/question/11732255

#SPJ2

When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)

Answers

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

[tex]3x+2y=2\\2x-y=6[/tex]

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]

Next, use elimination to find the value of "x":

[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

Pls help, I don’t know how to fo

Answers

frustum of a cone is: = pi * l(R + r)

(l) = slant height of the frustum.

from 2929.645714 - 506.1257143

= 2423.52

= 2423.5cm

Answer:

from 2929.645714 - 506.1257143

= 2423.52

= 2423.5cm

Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.

Answers

Answer:

[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.

Prime factors of 2601

Answers

The prime factors are: 3 x 3 x 17 x 17. or also written as { 3, 3, 17, 17 }

Answer:

The prime factors are: 3 x 3 x 17 x 17. or also written as { 3, 3, 17, 17 }

Step-by-step explanation:

Person above agrees

Create a figure with half the perimeter of a given figure.


you don't have to actually make a shape, can someone explain how to do this pls

Answers

Step-by-step explanation:

First you have to add up all of the numbers that make up the perimeter of this arrow.

3+3+1+.5+.5+1.8+1.8=11.6

You than want to divide this number by 2 to find the half perimeter you have to work with, which is 5.8.

A simple shape you can make is a square, with each side being 1.45 m.

Please answer question now

Answers

Answer:

3

Step-by-step explanation:

2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:

MN = ML (both tangents from external point M)

ML = 6 - KL

KL = KJ (tangents from point K)

PQ = QJ = 1 (tangents from point Q)

Therefore, KJ = 4 - 1 = 3

Since kJ = KL = 3,

ML = 6 - KL = 6 - 3

ML = MN = 3

If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .

Answers

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

1782/3 = and why the answer

Answers

Answer:

594

Step-by-step explanation:

1782/3 = 594.

To if the answer is correct, you do this:

594 × 3 = 1782.

Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.

f as a function of x is equal to the square root of one minus x.

A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1

Answers

Hey There!!~

Your best answer choice is B). x > 1.

Good Luck!!

In the diagram, TC represents a vertical building. The points, A and B, are on the same level as the foot C of the building such that ATC = 40° and BTC = 56°. If BT is 29 m longer than AT, find
(a) the height of the building,
(b) the distance AB.

Answers

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

how many are 1 raised to 2 ???​

Answers

Answer:

1

Step-by-step explanation:

1^2

Means 1 multiplied by itself 2 times

1*1

1

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? Cubes

Answers

Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

Find the sum of 91.8+0.964+5.09 and correct your answer to one decimal place.

Answers

97.9
I used Socratic

Answer:

97.85

I hope this helps!

An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207?

Answers

Answer:

Apartment 207 is a second floor apartment in Building 2.

Step-by-step explanation:

Since one building has four first floor apartments, then I'd think all buildings have 4 apartments per floor. Since one building has first floor apartment numbers 109, 110, 111, and 112, then I'd think there is a building with first floor apartment numbers 101, 102, 103, and 104, and another building with first floor apartment numbers 105, 106, 107, 108.

Building 1 First floor: 101, 102, 103, 104

Building 2 First floor: 105, 106, 107, 108

Building 3 First floor: 109, 110, 111, 112

Building 2 Second floor: 205, 206, 207, 208

Apartment 207 is a second floor apartment in Building 2.

Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble.

Answers

Answer:

dependent

Step-by-step explanation:

This is a dependent event.  There is one less marble in the bag to choose from

Say there was 1 red marble and 4 blue marble.  You drew the red marble on the first pick, now you cannot get a red marble on your second pick.

If you drew a blue marble on the first pick you could get a red marble on the second pick.

So what happens on the first pick affects the second pick

PLEASE HELP ME WILL MARK BRAINLIEST! Town planners are planning a 500 foot by 700 foot parking lot by making a scale drawing that is 90 inches by 126 inches. What is the scale of inches in the drawing to inches in the actual object?

Answers

Answer:

The approximate value of the scale is 1:67

or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)

Step-by-step explanation:

Here, we want to figure out the scale in inches of the drawing to the actual object.

The actual object is 500 ft by 700 ft

while the drawing is 90 inches by 126 inches

Mathematically, we know that 12 inches = 1 foot

So the actual object will be;

500(12) by 700(12)

= 6000 inches by 8400 inches

Now let’s make a division to get the scale;

6000/90 by 8400/126

we get 66.67 as answers on both ends

This is approximately equal to 67

So the scale we have here is 1:67

find the distance between the pair of points (2, -5) and (3, -7)

Answers

Step-by-step explanation:

Using distance formula:

√(- 7 - (-5))² + (3 - 2)²

√(- 7 + 5)³ + 1²

√(-2)² + 1

√4+1

√5

PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4

Answers

Step-by-step explanation:

c

How many solutions are there for the absolute value equation, |16 + t| = – 3

Answers

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

5000 X 10 X 10 X 50​

Answers

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

perform the indicated operations. express the answer as a polynomial written in standard form.
(2x+5y)^2​

Answers

Answer:

Step-by-step explanation:

If Paul and Steve are the same height and they are both correct, write an equation to represent this relationship. Put Paul's expression on the left side of the equal sign and Steve's expression on the right.

Answers

Answer:

Theresa's height=60 inches

Paul's height= Steve's height=74 inches

Step-by-step explanation:

Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?

Let

p=paul's height

s=steve's height

t=theresa's height

Paul's height = Steve's height

p=s

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

1 1/2 * t -16

=3/2t -16

Steve says he is 6 inches shorter than 1 1/3 times Theresa's height

1 1/3 * t - 6

=4/3t - 6

P=S

3/2t -16 = 4/3t - 6

Collect like terms

3/2t-4/3t= -6+16

9t-8t/6 =10

t/6=10

Cross product

t=60

Theresa's height=60 inches

P=3/2t -16

=3/2(60) -16

=180/2 -16

=90-16

=74 inches

p=s

Paul's height=74 inches

A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33

Answers

Answer:

0.7967

Step-by-step explanation:

We know that population proportion p=0.31.

We have to find P(phat<0.33).

Mean=p=0.31

[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]

standard deviation=0.024 (rounded to three decimal places)

[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]

[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]

[tex]P(phat<0.33)=P(Z<0.83)[/tex]

[tex]P(phat<0.33)=0.5+0.2967[/tex]

[tex]P(phat<0.33)=0.7967[/tex]

Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%

Simplify 7^ -5/6 x 7^-7/6

Answers

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Brad invests $3700 in an account paying 3% compounded monthly. How much is in the account after 8 months?

Answers

Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]

Amount after 8 month (A) = $3775 (Approx)

another question what's the formula for an open end of a cylinder??​

Answers

Answer:

Formula for an opened end of a cylinder =

[tex]\pi r^2 +2\pi rh\\[/tex]

Closed at both end =

[tex]2\pi r^2 +2\pi r h[/tex]

Opened at both end =

[tex]2\pi rh[/tex]

Step-by-step explanation:

2.3 repeating as a fraction or percentage​

Answers

As a fraction it would be 23/10, as a perfect it would be 230%

PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.

Answers

Answer:Exact Surface Area = [tex]480+32\sqrt{3}[/tex]Approximate Surface Area = 535.425625842204

Round the approximate value however you need to

Units are in square centimeters.

===================================================

Work Shown:

You have the 160 portions correct since 20*8 = 160.

The other pieces are equilateral triangles, in which we use the formula

[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]

where x is the side length of the triangle. Plug in x = 8 to get

[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]

That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]

The total surface area is the sum of all the smaller areas

[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]

--------------------------

The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.

Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]

Round this however you need to.

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Which of the following is NOT native to Australia? what is the uses of forest Wendy opened a savings account 15 years ago with a deposit of $2,340.73. The account has an interest rate of 4.7% compounded monthly. How much interest hasWendy earned? Determine if the matrix is symmetric. (-1 -5 -9 8)The transpose of the given matrix is nothing. Because this is_____to the given matrix, the given matrix_____symmetric. Write the perimeter of the triangle as asimplified expression.3y + 5Y-4 y varies directly as z, y=180, z=10 , find ywhen z=14 Rather than using a shortcut to find various possible combinations of, Jude systematically lists every possible combination to determine the correct code. Jude is solving his problem by the use of:___________.a) trial and errorb) the availability heuristicc) the representativeness heuristicd) an algorithme) confirmation bias more help plz...!!?? You perform a doubleslit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.11 mm and place your screen 8.63 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.71 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength lambda expressed in nanometers? Black walnut trees produce a nontoxic chemical that becomes highly toxic when it is exposed to air or soil. How does this chemical help black walnut trees compete with plants growing nearby? 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Rewrite to make true: There are five terms in the series (attached) How does one solve for the n+1st term with the nth term of a sequence Explain why it could be considered true that the successful colonization of the Americas by European nations ultimately led to an increase of oppression and/or violence towards different groups of people in the American colonies between 1607-1754.APUSH Read the summary of the main ideas of the article below. "Fortnite," a popular online video game, recently had its first ever World Cup finals in New York City. Top "Fornite" players like Hayden Krueger and Davis McClellan competed on the online battleground starting on July 26. Which answer choice would complete the summary? A Davis McClellan made it into both the solo death match and the duo finals. B Kyle Giersdorf took home the first-place prize, and Emil Bergquist Pedersen and David W. won the duo championship. 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Read and choose the option with the correct negative command in the text.Conchita, no vayas a la escuela hoy. Ests enferma y quiero ir al doctor contigo. No voy a la oficina. Voy a llamar a tu ta. Ella no viene esta maana; viene esta noche y cena contigo. T no haces la cena.A. No hacesB. No vayasC. No voyD. No viene8. Read and choose the option with the correct words to complete the sentence.Lo siento, Teresa. Tu to no est en la ciudad hoy jueves. No vamos a su casa. ________ triste; tu to est en camino y el domingo l viene a nuestra casa y celebramos tu cumpleaos con l.________ las maletas; l viene en tres das.A. No ests; No hagaB. No ests; No hagasC. No seas; No vayasD. No seas; No vaya9. Read and choose the option with the correct word or words to complete the sentence.Susana, ________ la cama por la maana y ________ tu ropa en el clset antes de ir a la escuela. No manejes rpidamente. Llega a tiempo.A. di; ponB. di; salC. haz; ponD. haz; sal10. Read and choose the option with the correct affirmative command for t to complete the sentence.Juana, ________ agradable; para en las seales de alto para los peatones y no uses la bocina.A. saboB. sC. sea D. sepa