Justin is working with a microscope that magnifies objects to 175 times their actual size.

Part A

Enter a number in each box to determine the scale factor for the microscope.

Part B

The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?

millimeters

Part C

What is the percent increase of the area of the amoeba cell under the microscope?

%

Answers

Answer 1

Answer:

Part A

Scale factor

= 1 : 175

Part B

52.5 mm

Part C

99.4%

Step-by-step explanation:

Justin is working with a microscope that magnifies objects to 175 times their actual size.

Part A

Enter a number in each box to determine the scale factor for the microscope.

= 1 : 175

Part B

The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?

Scale factor =

1 : 175

Diameter of the Amoeba cell = 0.3mm

1mm = 175 mm

0.3mm = x

Cross Multiply

x = 0.3 × 175

x = 52.5 mm

Part C

What is the percent increase of the area of the amoeba cell under the microscope?

Increase = 52.5 mm - 0.3mm

= 52.2 mm

Percent increase

= 52.2/52.5 × 100

= 99.4%


Related Questions

2(8 +0.5) + 2(5 +1.5)

Answers

Answer:

30

Step-by-step explanation:

HELP WORTH 50 POINTS
giving brainlest to whoever does it right!!

The approximate populations of Connecticut and Vermont (as of 2019) are
listed below:
Connecticut: 3.57 x 10^6
Vermont: 6.24 x 10^5
How many times greater was the population of Connecticut than the
population of Vermont? Write your answer in standard notation, rounding to
the nearest tenth.

Answers

Answer: 1071.0 prep

Step-by-step explanation:

9.8-7.5 how do I solve for this

Answers

Answer:

Its simple the anwser is 2.3

Step-by-step explanation:

               9.8

              -7.5=

               2.3

The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?

Answers

Answer:

3x+7

Step-by-step explanation:

Use long division or synthetic division. (3x^2+13x+14)/(x+2)

The length of the rectangular garden is 3x + 7

The given expression:

[tex]A = 3x^2 + 13x + 14[/tex]

the width of the garden = x + 2

let the length of the garden = y

To find:

the length of the garden

The area of the rectangular garden is calculated as;

[tex]A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}[/tex]

Using long division method:

                         3x + 7

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

        x + 2 √ 3x² + 13x + 14

                  - (3x² + 6x)

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

                              7x + 14

                            - (7x + 14)

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

                                0

Thus, the length of the rectangular garden, y = 3x + 7

Learn more here: https://brainly.com/question/12932084

Find m∠RSQ
please and ty

Answers

Answer:

m∠RSQ = 19°

Step-by-step explanation:

From the picture attached,

RT is the diameter of the a circle.

Angle subtended at the circumference by the diameter of a circle = 90°

Therefore, m∠RST = 90°

Since, m∠RSQ + m∠QST = m∠RST

m∠RSQ + 71° = 90°

m∠RSQ = 90° - 71°

             = 19°

Therefore, measure of angle RSQ is 19°.

THE THREE SIDES OF A TRIANGULAR LOT
ARE MEASURED TO BE APPROXIMATELY 100.52
FT, 15.321 FT AND 143.250 FT LONG. FIND THE
APPROXIMATE PERIMETER OF THE LOT​

Answers

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

Solve the simultaneous equations
2x + 4y = 22
2x + 2y = 15

Answers

Answer:

1. x= 11+-27

2.x = 7.5 + -1y

Step-by-step explanation:

1. Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

2x + 4y + -4y = 22 + -4y

Combine like terms: 4y + -4y = 0

2x + 0 = 22 + -4y

2x = 22 + -4y

Divide each side by '2'.

x = 11 + -2y

Simplifying

x = 11 + -2y

2.Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

2x + 2y + -2y = 15 + -2y

Combine like terms: 2y + -2y = 0

2x + 0 = 15 + -2y

2x = 15 + -2y

Divide each side by '2'.

x = 7.5 + -1y

Simplifying

x = 7.5 + -1y

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?

Answers

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

Given the formula
an = 3 * 2^n-1
What is the 9th term?

Answers

Answer:

a9=3×2^9-1

a9=3×2^8

a9=3×256

a9=768

Type the missing number in this sequence:

13, 5, , -11, -19

Answers

it would be -3

it’s subtracting 8 each time so the missing number after positive five has to be -3 as 5-8= -3 and -3-8=-11

I will give brainlist please someone help!!!​

Answers

Answer:

x = 6

Step-by-step explanation:

Alternate angles are congruent.

7x - 9 = 3x + 15               {Subtract 3x form both sides}

7x - 3x -9 = 15

      4x - 9=15            {Add 9 to both sides}

           4x = 15+9

           4x = 24

           x = 24/4

x = 6

Here is a number machine

Answers

1.) 4n-29
2.) x3 and +1

i hope this helps!
20 is the answer periodht

I need help! ASAP please!

Answers

Answer:

60 f+80=287

Step-by-step explanation:

What should be added to -7/3 to get 3/7




21/58
58/21
47/21
50/21​

Answers

Answer:

58/21 is added to -7/3 to get 3/7

C 17. At high school A, the mean score of 50 students on a science test is 75.
At high school B, the mean score of 40 students on the same test is 80.
What is the mean score of the 90 students?

Answers

Answer:

Mean score of 90 students = 77.2

Step-by-step explanation:

Mean score of 50 students from school A = 75

Mean score of 40 students from school B = 80

We need to find mean score of the 90 students?

First we will find sum of scores of students from school A

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]

So, Sum of scores for School A = 3750

Now, we will find sum of scores of students from school B

We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]

We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]

So, Sum of scores for School B = 3200

Now, We will find mean score of the 90 students?

Mean score of 90 students will be:

[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]

So, mean score of 90 students = 77.2

y-intercept: (___,___)
r-intercept: (___,___)

Answers

Answer:

y= 0,4 x=0,3

Step-by-step explanation:

Solve the equation 3(x−4)=12x .

Answers

Answer:

x = -4 / 3

Step-by-step explanation:

Answe 4/3

Step-by-step explanation:

Can someone please help me out with this problem

Answers

Answer:

15w+5

Step-by-step explanation:

Any like terms can be combined to simplify.

2w+13w=15w

4+1=5

So, 2w+4+13w+1= 15w+5

Answer:

W = -1/3

Step-by-step explanation:

15W + 5= 0

15W = -5

W = -5/15

W = -1/3

What is the volume of the tent?

Answers

The answer is 192


Explanation

Melanie is buying soft drink cans for the work fridge. In the shopping catalogue, she sees a 10 can
pack for $6.00 and a 24 can pack for $15.96. Which is the cheapest way for Melanie to buy the soft
drink? Show all working

Answers

If you buy the 10-pack you pay 60 cents per can ($6.00 / 10 cans = .60/can). If you buy the 24-pack, you pay more than 66 cents per can ($15.96 / 24 cans = .665/can). So it is cheaper to buy the 10-pack (60 cents vs. 66 cents for each can)

Solve 3(x + 2) >x
Please ​

Answers

Answer:

x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x + 2) > x

Step 1: Simplify both sides of the inequality.

3x + 6 > x

Step 2: Subtract x from both sides.

3x + 6 − x > x − x

2x + 6 > 0

Step 3: Subtract 6 from both sides.

2x + 6 − 6 > 0 − 6

2x > −6

Step 4: Divide both sides by 2.

2x / 2 > −6 / 2

x > −3

Answer:

x > −3

Hope this helps :)

PLS HELP ASAP!

1/3+2/3

Answers

The bottom number stays the same, u just at the top numbers which will give u
3/3
If u simplify, u get
1.

1 is ur final answer!

Answer is 1

Step-by-step explanation:

Add

1/3 + 2/3 = 3/3

Simplify

3/3 =1

lol hope i could help even if its a lil:)

Convert decimals to fractions

.37

2.4

.33

Please help

Answers

Answer:

1. 37/100

2. 2 2/5 or 12/5

3. 33/100

Step-by-step explanation:

Answer: 37/100.

2 2/5.

33/100

Step-by-step explanation:

I recommend using symbolab.com for further steps and calculator

Combine the like terms to create an equivalent expression. k + k + k *
and i am in six grade plz help .

Answers

Answer:

Step-by-step explanation:

Ok, so pretend each k has a 1 in front of it. so 1k+1k+1k= 3k. If you need a different equation, you can do 2k+1k=3k or something like that. :)

How do we define​ argument? What is the basic structure of an​ argument?
How do we define​ argument?
A.
An argument is a reasoned or thoughtful process.
B.
An argument is a statement that is untrue.
C.
An argument is a method or principle of reasoning.
D.
An argument is a statement that is true.


Please help will give 10 points

Answers

its c cause its like method or principle of reasoning

We defined an argument as a reasoned or thoughtful process. The correct option is A.

What is an argument?

An argument is a statement or set of claims known as premises that are designed to assess the degree of truth or acceptability of another statement known as the conclusion. Arguments may be analyzed from three different perspectives: logical, dialectical, and rhetorical.

Since the act or process of arguing, reasoning, or discussing is known as an argument. Therefore, we defined an argument as a reasoned or thoughtful process.

An argument is made up of three parts: the conclusion, the premises, and the assumptions. 

THE Conclusion

The conclusion (or theses) is the point of the argument's major idea—what the author is attempting to show.

THE LOCATION

The premises are the reasoning or evidence provided by the author to justify the conclusion.

THE ASSURANCES

The assumptions support the conclusion, but unlike the premises, they are unsaid and so invisible.

They connect the premises and conclusions.

Learn more about Arguments here:

https://brainly.com/question/15147636

#SPJ2

Find the slope of the following graphs.

A. 1 / 2
B. 2
C. -2
D. - 1 / 2

Answers

Answer:

c, -2

Step-by-step explanation:

Doing some homework right now :) Need help on this problem

Answers

Answer:

both have 5

Step-by-step explanation:

10 divided by 2 equals 5

Both of them have 5 I think. Idrk but I’m pretty sure it’s right. Hopefully it is

A salesperson sold a car for $15,590 and their commission is $623.60. What percentage of the sale price is their commission?

Answers

Answer:

4%

Step-by-step explanation:

623.60 deivided by 15,590= commistion

Which trigonometric ratio would you use to solve for the variable??

Answers

Answer:

Sin angle = opp/hyp

Cos angle = Adj/ hyp

Tan angle = opp/adj

The opp = the base of the triangle

The hyp = w

The adj = 125

Btw....

SOH CAH TOA

SOH = Sin ( Opposite ÷ Hypotenuse)

CAH = Cos ( Adjacent ÷ Hypotenuse)

TOA = Tan ( Opposite ÷ Adjacent)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Expand 2(c + 4).
Please help me

Answers

Answer:

2c+8

Step-by-step explanation:

this is because we are using 2 to open up the brackets. You will multiply c by 2 and 4 by 2.

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