a scientist looks at small pond organisms using a microscope. in his view, one of the organisms is 2.2 cm long when magnified to 100 times its actual size. What is its actual length, in mm?

Answers

Answer 1

The actual length of Organism is 0.22 mm.

What is Scale Factor?

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.

Given:

The size of Organisms is 2.2 cm when magnified to 100 times its actual size.

So, the actual size in cm

=  2.2/ 100

= 0.022 cm

Now, we know 1 cm = 10 mm

= 0.022 x 10

= 0.22 mm

Hence, the actual size is 0.22 mm.

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Related Questions

Please help with this its geometry

Answers

All the correct fractions are,

⇒ 2 yd / 8 ft = 3 / 4

⇒ 24 in / 3 ft = 2 / 3

⇒ 4 ft / 4 yd = 1 / 3

⇒ 32 in / 2 ft = 4 / 3

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

All the fractions are,

⇒ 2 yd / 8 ft

⇒ 24 in / 3 ft

⇒ 4 ft / 4 yd

⇒ 32 in / 2 ft

Now, We know that;

⇒ 1 yard = 3 feet

⇒ 1 feet = 12 inches

So, By the fractions we get;

⇒ 2 yd / 8 ft

⇒ 6 ft / 8 ft

⇒ 6 / 8

⇒ 3 / 4

⇒ 24 in / 3 ft

⇒ 24 in / 36 in

⇒ 12 / 18

⇒ 2 / 3

⇒ 4 ft / 4 yd

⇒ 4 ft / 12 ft

⇒ 1 / 3

⇒ 32 in / 2 ft

⇒ 32 in / 24 in

⇒ 4 / 3

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Will mark brainlist! Pls help
Solve for x on the diagram below

Answers

Answer:

n/a

Step-by-step explanation:

Where's the diagram?

Find δrh for this reaction as written. (use 1.0 gml−1 for the density of the solution and 4.184 jg−1∘c−1 as the specific heat capacity.)

Answers

To find ΔHrxn for Zn(s) + HCl(aq) heat, we use q = cmΔT and track down q = - 582.4 J, it is exothermic to show the response. ΔHrxn is equivalent to - 582.4 J, meaning the response discharges heat.

We can involve the condition for the adjustment of intensity energy, q = cmΔT, to ascertain ΔHrxn for this response.

q = heat energy change = cmΔT

where c = explicit intensity limit of the arrangement = 4.18 J/g⋅∘C

m = mass of the arrangement = thickness of the arrangement x volume = 1.0 g/mL x 50.0 mL = 50.0 g

ΔT = change in temperature = 24.3 ∘C - 21.5 ∘C = 2.8 ∘C

In this way, q = (4.18 J/g⋅∘C)(50.0 g)(2.8 ∘C) = 582.4 J

Since the response is exothermic (the arrangement discharges heat), the ΔHrxn will be negative, meaning the response discharges heat.

ΔHrxn = - q = - 582.4 J

Subsequently, the ΔHrxn of Zn(s) with HCl(aq) is - 582.4 J.

To find ΔHrxn, the intensity energy change, for the response of Zn(s) with HCl(aq), we utilize the condition q = cmΔT. The particular intensity limit of the arrangement is 4.18 J/g⋅∘C, the mass of the arrangement is 50.0 g, and the adjustment of temperature is 2.8 ∘C. In this way, q = - 582.4 J, meaning the response discharges heat, and ΔHrxn = - 582.4 J. This computation shows that the response of Zn(s) and HCl(aq) discharges heat, making it exothermic.

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The complete question is:

Zinc metal reacts with hydrochloric acid according to the following balanced equation.

Zn(s)+2HCl(aq)→ZnCl2(aq)+H2(g)

When 0.105 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 21.5 ∘C to 24.3 ∘C.

Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g⋅∘C as the specific heat capacity.)

an office building worth $6 million when completed in 1997 was depreciated linearly over 50 years; that is, the book value of the building decreases at a constant rate, so that at the end of 50 years the book value is zero. a) what was the book value, in dollars, of the building in 2014?. answer: b) what will be the book value, in dollars, in 2028? answer:

Answers

The book value of the building in 2014 was $3.96 million. The book value of the building in 2028 will be $2.28 million.

a) The book value of the building in 2014 can be calculated as follows:

Book Value = Original Cost - (Depreciation Rate * Years Depreciated)

Depreciation Rate = Original Cost / Number of Years

Depreciation Rate = 6 million / 50 years = $120,000 per year

Years Depreciated = 2014 - 1997 = 17 years

Book Value = 6 million - (120,000 * 17) = 6 million - 2.04 million = $3.96 million

So, the book value of the building in 2014 was $3.96 million.

b) The book value of the building in 2028 can be calculated in a similar manner:

Years Depreciated = 2028 - 1997 = 31 years

Book Value = 6 million - (120,000 * 31) = 6 million - 3.72 million = $2.28 million.

So, the book value of the building in 2028 will be $2.28 million.

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in hypothetical measurements, you record 1 decimal when using a graduated cylinder, 2 decimals when using a buret, and 4 decimals when using a balance. which device is most precise in measuring volume? why?

Answers

The graduated cylinder is most precise in measuring volume.

Precision is the degree to which separate measurements agree with one another. The general rule is that you can estimate one additional digit past the measuring device's smallest division, 100-mL graduated cylinders are read to 1 decimal, and the smallest graduated cylinder will hold the entire volume.

Precision refers to the number of significant figures in a measurement. When measuring liquid volumes, it is critical to read the graduated scale from the lowest point on the curved surface of the liquid, known as the liquid meniscus.

Graduated cylinders are ideal for precise liquid measurements with a much smaller margin of error.The device with the most precision in measuring volume is the balance. Precision refers to the level of detail and the number of significant digits in a measurement, and more significant digits indicate a higher level of precision. In this case, the balance provides the greatest level of precision with 4 decimal places, while the graduated cylinder provides only 1 decimal place and the buret provides 2 decimal places.

This means that the balance provides the most accurate and detailed measurement of volume compared to the other two devices.

Hence, the graduated cylinder is most precise in measuring volume.

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Given lines l, m,l,m,and nn are parallel and cut by two transversal lines, find the value of xx. Round your answer to the nearest tenth if necessary.

Answers

The value of x is 12.

What is a transversal?

When two or more parallel lines are intersected by a straight line, then the line is said to be a transversal. These produces a series of angles which have some common properties.

In the given question, the lines l, m and n were cut by two transversals. Thus we can compare the corresponding parts of line segments.

We have;

x/ 35 = 14/ 41

cross multiply to have;

41x = 35*14

     = 490

x = 490/ 41

  = 11.9512

Thus, the value of x is 12.

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What type of angle is each angle in this figure?
Drag and drop a term into each box to correctly identify each angle.

Answers

K= Right
J= Obtuse
M= Acute
L= Acute

Acute is less than 90° degrees, obtuse is more than 90° degrees, and a right angle equals 90° degrees.

K = RIGHT, M = ACUTE J =OBTUSE and L = ACUTE

hich of the six possible logical implications (see below) between pairs of p , q, and r are true, and why? are any of p , q, and r logically equivalent to another?

Answers

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

p implies q (p => q)q implies p (q => p)p implies r (p => r)r implies p (r => p)q implies r (q => r)r implies q (r => q)

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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MATH QUESTION! 50 POINTS

Answers

Answer:

229 Feet I think it is right just make sure

Step-by-step explanation:

x+125/255=x/165

cross multiply

255x=165x+20,625

90x=20,625

229=x

given a standardized normal distribution, between what two values of z (symmetrically distributed around the mean) will 68.26 percent of all possible z values be contained?

Answers

68.26% of all possible z values are contained between -1 and 1.

The formula for the 68-95-99.7 rule states that 68% of the data should fall within 1 standard deviation of the mean, 95% of the data should fall within 2 standard deviations of the mean, and 99.7% of the data should fall within 3 standard deviations of the mean. Therefore, for a standardized normal distribution, 68.26% of all possible z values are contained between -1 and 1.

To calculate this, first recall that for a normal distribution, the mean is 0 and the standard deviation is 1. Then use the 68-95-99.7 rule to determine that 68% of the data should be contained within 1 standard of the mean. Since the mean is 0, this means that 68% of the data should be contained between -1 and 1. Therefore, 68.26% of all possible z values are contained between -1 and 1.

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what is the location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface

Answers

The location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface is:

directly beneath the great circle defined by the two flagpoles.

The great circle defined by two flagpoles on the Earth's surface is a line that bisects the sphere of the Earth into two equal parts. This line passes directly through the center of the Earth, so the center of the Earth is located directly beneath the great circle.

The Earth is a three-dimensional object, so if two points on its surface are connected with a line, that line must pass directly through the center of the Earth.

This line is called a great circle because it is the largest possible circle that can be drawn on the surface of the Earth. The great circle formed by two widely spaced flagpoles on the Earth's surface serves as a reference point for determining the exact location of the Earth's center relative to the surface.

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The price of an ice cream cone is $3.25,
but it costs $3.51 with tax.
What is the sales tax rate? (Round to the
nearest whole percentage)

Answers

Answer:

8%

Step-by-step explanation:

3.51 - 3.25 = $0.26

0.26 divided by 3.25, time 100 = 8%

So, the sale tax rate is 8%

Answer:

Rate of sales tax rate is 8%

Step-by-step explanation:

A sales tax is a tax paid to a governing body for the sales of certain goods and services.

Price of an ice cream cone excluding tax = $3.25

Price of an ice cream cone including tax = $3.51

So,

Amount of tax = Price of an ice cream cone including tax  Price of an ice cream cone excluding tax =3.51 - 3.25 = $0.26

                   

                 Sales tax rate = [tex]\frac{0.26}{3.25} x 100 = 8%[/tex]

Please give brainliest answer

                     

Vertical Angles 110 degrees, 4x+90 degrees what is x

Answers

The value of x is equal to 5.

What is the vertical angles theorem?

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to the geometric figure, we have the following:

110 degrees = 4x + 90 degrees

4x = 110 degrees - 90 degrees

4x = 20 degrees

x = 5.

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Solve the proportion 5 over 8 = y over 40

Answers

Answer:

Below

Step-by-step explanation:

y/40 = 5/8    multiply both sides of the equation by 40

y = 40 * 5/8 = 200/8 = 25

What is the next fraction in this sequence? Simplify your answer.

1/5
,
4/15
,
1/3
,
2/5
,

Answers

Answer:

7/15

Step-by-step explanation:

We know the order is

1/5, 4/15, 1/3, 2/5

We can rewrite these as

3/15, 4/15, 5/15, 6/15

So, the next fraction in this sequence is 7/15

1/2x+8≤10
simplify pls

Answers

Answer:

4

Step-by-step explanation:

1/2x + 8 ≤10 / ×2

x + 16 ≤ 20

x ≤ 20 - 16

x ≤ 4

[tex]\dfrac{1}{2} x+8\leq 10[/tex]

Subtract 8 from both sides:

[tex]\dfrac{1}{2} x+8-8\leq 10-8[/tex]

[tex]\dfrac{1}{2} x\leq 2[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} x)\leq 2\times(2)[/tex]

[tex]\boxed{x\leq 4}[/tex]

Please help me easy easy

Answers

Answer:

32

2×2×2×2×2 = 32

2^5 = 32

4) A line has the equation
y = 3x + 4. Find the equation
of the line parallel to this line,
which passes through the
point (5, 4)

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

parallel lines have the same slope

y - y1 = m(x - x1)     point slope form, plug in the point (5,4)

y - 4 = 3(x - 5)    put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11

Convert 2.75 m° / min to gallons per hour.

Answers

Answer:

Step-by-step explanation:

(2.75m / min) x 60

= 0.04359 gallons / hour

(sorry if im wrong xd)

(3*0.6)+(3*x)=13 what is x

Answers

Answer: 3.73

Step-by-step explanation: Search math w ay on the internet

if the mean of the nails is 8.9 and the standard deviation is 5.56 what is the probability that a bag of 225 nails would be more than 2100?

Answers

The probability of getting a z-score greater than 0.15 is approximately 0.5693.

The probability of getting more than 2100 nails in a bag is approximately 0.5693.

The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.

Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.

To answer the question, we need more information on the distribution of the number of nails in a bag.

Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.

With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:

z = (2100 - 2009) / 59.11 = 0.15

Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.

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a senatorial committee consists of 5 republicans and 5 democrats. in how many ways can this committee be selected from a pool of 15 republican and 10 democrat candidates?

Answers

There are 756,756 ways to select the senatorial committee from the given pool of candidates.

The number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats can be calculated as the number of combinations of 10 items taken 5 at a time (number of ways to select 5 Democrats) multiplied by the number of combinations of 15 items taken 5 at a time (number of ways to select 5 Republicans).

The number of combinations of 10 items taken 5 at a time is given by:

10 choose 5 = 10! / (5! * (10 - 5)!) = 252

The number of combinations of 15 items taken 5 at a time is given by:

15 choose 5 = 15! / (5! * (15 - 5)!) = 3003

Multiplying these two combinations, we get the total number of ways to select a committee of 5 Republicans and 5 Democrats from a pool of 15 Republicans and 10 Democrats:

252 * 3003 = 756756

Therefore, there are 756,756 ways to select the senatorial committee from the given pool of candidates.

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a tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.84mm and a standard deviation of 0.35mm. find the probability that a randomly selected tire will have a depth less than 0.24mm. would this outcome warrant a refund (meaning that it would be unusual)? homework help: 4va. calculating normal probabilities (links to an external site.) (2:18) 4da. description of normal distribution, area, and probabilities, definition of unusual events (links to an external site.)(docx) group of answer choices probability of 0.96 and would warrant a refund probability of 0.96 and would not warrant a refund probability of 0.04 and would warrant a refund probability of 0.04 and would not warrant a refund

Answers

the Probability of 0.04 and would warrant a refund.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.84mm and a standard deviation of 0.35mm.

probability = P(X<0.24)

= (Z<(0.24-0.84)/0.35)

= P(Z<(-1.7143)

= 0.0432 ~ 0.04

since the above probability is less than 0.05 ;

this event can be termed unusual

therefore, the Probability of 0.04 and would warrant a refund.

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What base can you rewrite both 5 and 1 over 25 using properties of exponents?

Answers

The expression can be written as 5¹/₂₅.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 5 and 1 over 25. The mixed fraction can be written as:-

E = 5 and 1 over 25

E = 5¹/₂₅.

Therefore, the expression can be written as 5¹/₂₅.

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Use technology to find points and then graph the function y = √x +3-6 following the instructions below.
ASAP PLEASE

Answers

The graph of the function is added as an attachment

How to graph the equation

From the question, we have the following parameters that can be used in our computation:

y = √x +3-6

Make y the subject

y =√(x + 3) - 6

The above equation is a square root function

The parent of a square root function is represented as

y = √x

This means that the parent function was translated to get the given function

Next, we plot the graph of the equation

See attachment for the graph

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Solve 4.5 divided by 0.8

Answers

Answer:

5.625

Step-by-step explanation:

4.5/0.8 = 5.625

5.625 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Which is a true statement about the graph shown?

Answers

Answer:

D

Step-by-step explanation:

i think this is the same example?

The answer is D because it doesn’t pass the vertical line test

what is the correct answer

Answers

The percentage of the race he finished first is 40%

What is percentage?

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Glenn raced his motorcycle 30 times and he finished first 12 times.

So, 12/30 = 2/5 = x/40

by using cross multiplication we get,

⇒ 5 * x = 2 * 100

⇒ 5 * x = 200

divided both side by 5 we get,

⇒ 5 * x / 5 = 200 / 5

⇒ x = 40

So that the percentage of the race he finished first is 40%

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Joel wants to buy a new tablet from a store having a 20% off sale. The tablet he wants has an original cost of $190.

Which expressions would represent the sale price?

A. 0.80p

B. p + 0.20p

C. 1.20p

D. p - 0.20p

Answers

D.
Because the answer is the Discount subtracted from the Original Price

answer please thanks so much

Answers

Answer: A.

Step-by-step explanation: 0.4 is 40 so 40 is greater than 35 :)

Answer: The answer is the first one

Step-by-step explanation:

0.35 is equal to 35/100 or 35% and 0.4 is equal to 40/100 or 40%

She thought is was 0.35 is equal to 35% and 0.4 is equal to 4%

So it is the first answer

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