Branliest offered

A. What is the circumference of the colony?
B. What is the radius of the colony?

Bacteria lives in groups called colonies colonies are usually circular the diameter of a particular bacterial colony is 12 mm their circumference of a circle is equal to Pi 3.14 times its diameter c= πd

Answers

Answer 1
The circumference can be obtained fairly easily by simply substituting the d in c = πd for the colony's given diameter of 12 mm. Performing that calculation using the approximation of π ≈ 3.14, we obtain a circumference of 12 x 3.14 = 37.68 mm.

To find the radius, remember how the diameter and radius of a circle are defined. The radius is a length extending from the center of a circle to a point on its circumference, and a diameter is a line extending from one point on the circle's circumference to an opposite point, passing through the circle's center along the way. The diameter can, in this way, be defined as twice the length of the radius, which means we can find the radius of a circle by taking half of its diameter. In this case, our diameter is 12 mm, so our radius would be 6 mm.

Related Questions

What values of k makes the equation true?

Answers

The value of k is 4 because you're adding the exponents and multiplying the coefficients. 5*6 is 30, 3+1 is 4, 6-2 is 4. Therefore, the value of k is 4.
a^2 * a^4 = a^6

answer
k = 4

A plane flies x mph. How far can it go in y hours?
Which expression represents this?
A.) x/y miles
B.) xy miles
C.) x + y miles

Answers

x*y = distance

So the answer would be B.) xy miles 

Which choice correctly expresses the number below in scientific notation 0.0000431

Answers

Scientific notation is form [tex]a * 10^{x} [/tex], where 1 ≤ a < 10. So, you have to write like this:
[tex]0.0000431 = 0.000431 * 0.1 = ... = 4.31 * 0.00001 = 4.31 * 10^{-5} [/tex]
since [tex]0.00001 = 10^{-5} [/tex]
So, the answer is [tex]4.31 * 10^{-5}[/tex]

The fourth term of an arithmetic sequence is 8. if the common difference is 2, what is the first term

Answers

Question:The fourth term of an arithmetic sequence is 8. if the common difference is 2, what is the first term
Answer: the answer to the problem is 6

The first term of the given arithmetic sequence is 2.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the fourth term of an arithmetic sequence is 8 and the common difference is 2.

Here, a₄=a+(4-1)×2

8=a+6

a=2

Therefore, the first term of the sequence is 2.

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20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)


A) y = .37x + 5
B) y = .37x + 1.76
C) y = .37x + 2.13
D) y = .37x - .09

Answers

Let the cost of gasoline in the year 2000 be represented b the equation
y = a + b*x
where
x = months, counted from January
y = cost, dollars

The given data in the table is
Month:        Jan  Feb  Mar  Apr  May  Jun  Jul  Aug  Sep  Oct  Nov  Dec
x, months:       1       2     3       4      5       6     7      8      9     10     11      12
y, dollars:     ---      ---     ---     ---   1.76   2.13   ---     ---    ---      ---    ---     ---

When x = 5, y = 1.76.
Therefore
a + 5b = 1.76               (1)

When x = 6, y = 2.13
Therefore
a + 6b = 2.13              (2)

Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37

From (1), obtain
a = 1.76 - 5b
   = 1.76 - 5*0.37
   = -0.09

The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.

Answer: D.  y = 0.37x - 0.09

To convert a fraction to a decimal, you have to divide ________ by the _________?

Will give brainliest?

Answers

To convert a fraction to a decimal, you have to divide the denominator by the numerator.


HOPE THIS HELPS! HAVE A GREAT DAY!!!

the top number of a fraction is the numerator, the bottom number is the denominator

 to turn a fraction into a decimal divide the numerator by the denominator (Top number by the bottom number)

does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?

Answers

yes, the bisecting line will also bisect the side
yes it does bisect an angle

HOW CAN I SOLVE IT u=2x-2 for x

Answers

u = 2x - 2

We simply need to isolate x :) That just means that we need to get x onto it's own side of the equal sign.

So, add 2 to both sides.

2 + u = 2x

Then, divide both sides by 2.

2 + u ÷ 2 = 2x ÷ 2

Simplify.

1 + u/2 = x 

So, x = 1/2u + 1

~Hope I helped!~ :)
First, you have to isolate 2x in the first step to solving for x, so you would add 2 to both sides. This would look like this: u+2=2x.
Then, divide both sides by 2 to fully isolate x. This would give you an answer of u+2/2 = x

What is slope and how is it determine from a graph?

Answers

Pick two points on the line and determine their coordinates.Determine the difference in y-coordinates of these two points (rise).Determine the difference in x-coordinates for these two points (run).Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Slope is Y= mx + b
rise over runexample y= 3x+2 
the three

, , and are tangent to circle o through points c, b, and e, respectively. if mdaf = 66° and mfda = 56°, what is meob?

Answers

122 degrees. I hope.  

A study of several cities shows a positive correlation between the percent of people late to work and the amount of pollution on the roadways. Which statement is most likely true?
A. Pollution makes people late to work.
B. People who tend to be late make more pollution than those who tend to be on time
C.The correlation is due to a third variable: traffic.
D. The correlation is due to a third variable: cost of windshield wiper fluid.

Answers

In this instance, option C is the most likely cause of the correlation. Pollution rises as the number of vehicles in an area increases. In periods of high traffic, vehicles run longer. High traffic also causes time delays that increase tardiness of employees.

Answer:Its C

Step-by-step explanation:

99 Points (again..)! Are these Equations Linear Or nonlinear?
72=x3+y

y+1=5(x−9)

7y + 2x = 12

4y = 24

Answers

72 = x^3 + y is not linear, it is exponential

y + 1 = 5(x - 9) is linear

7y + 2x = 12 is linear

4y = 24  is linear

hope this helps

Hi There!

1. Not Linear (Because it has a exponent)

2. Linear (Stated in Point Slope Form)

3. Linear

4. Linear

Hope This Helps :)

The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?

Answers

They used 11 containers. 7 containers contained 56 big turkey boxes while 4 containers contained 40 small turkey boxes. 56 is the largest number which is divisible by 8 when deducting 96 by 10. This method ensured that all the containers are shipped at full capacity.

The correct answer is:

11 containers.

Explanation:

We want 96 boxes total. Each container can hold either 10 small boxes or 8 large boxes. To solve this, we want to subtract multiples of 10 from 96 until we have a number that is divisible by 8. This is because we cannot have a fraction of a container full of either big or small boxes.

96-10(1) = 96 - 10 = 86; this is not divisible by 8.

96-10(2) = 96 - 20 = 76; not divisible by 8.

96-10(3) = 96 - 30 = 66; not divisible by 8.

96-10(4) = 96 - 40 = 56; this is divisible by 8.

This means there are 4 containers of small boxes, for 4(10) = 40 boxes, and 56/8 = 7 containers of large boxes, for 56 boxes. This is a total of 4+7 = 11 boxes for our 40+56 = 96 boxes.

Nathan's rental costs for a 5-day trip are $234 in rental fees, plus 4 percent tax, plus $20 a day car insurance. What total did he pay for the rental?

A. $214.36

B. $343.36

C. $263.36

D. $254

Answers

Your answer is going to be D
The correct answer is option B, $343.36
I came to the conclusion by multiplying the rental cost by the tax rate= 9.36 and then multiplying the daily insurance fee by the amount of days- 20*5=100 and then adding 234+9.36+100 which equals 343.36. The general formula for finding the total cost would be Rental charge+ +(rental)(tax rate)+(Insurance)(# of days) 

Hope this helps a bit 

Solve the equation P=2q+2w for q

Answers

the answer is p-2w
                        -------- = q
                           2

Point M and N are midpoints of AB and DA respectively.
Complete the following table to prove triangle CDN ≅ triangle CBM
For the last reason choose from: SSS, SAS, or ASA.
*image attached below*

|
Statement | Reason
line DC ≅ _____ | The sides of a square are congruent.
line BM ≅ _____ | They are both half the length of a side of the square.
angle _____ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | ____________________________________
|

Answers

triangle CDN ≅ triangle CBM

Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | 
by
SAS

Answer:

triangle CDN ≅ triangle CBM

Statement | Reason

line DC ≅ __BC___ | The sides of a square are congruent.

line BM ≅ __DN___ | They are both half the length of a side of the square.

angle __D___ ≅ angle B | All the angles of a square are congruent.

triangle CDN ≅ CBM |  

by

SAS

Step-by-step explanation:

A person standing on top of a 11 11-foot high sand pile wishes to estimate the width of the pile. he visually locates two rocks on the ground below at the base of the sand pile. the rocks are on opposite sides of the sand pile, and he and the two rocks are in the same vertical plane. if the angles of depression from the top of the sand pile to each of the rocks are 28 ∘ 28∘ and 19 ∘ 19∘, how far apart are the rocks rounded to the nearest foot?

Answers

Refer to the diagram shown below.

The distance between the two rocks is (a + b).
By definition,
tan(28°) = 11/a
a = 11/tan(28°) = 20.688 ft
Similarly,
b = 11/tan(19°) = 31.9463 ft

The distance between the rocks is
20.688 + 31.9463 = 52.6343 ft

Answer: 53 ft (nearest foot)
Final answer:

The problem involves trigonometry to determine the width of the sandpile. The angles of depression equate to angles of elevation from ground up. Using the tangent function and the provided angles of depression, the distances to the rocks are calculated and added together to get approximately 52 feet as the pile's width.

Explanation:

This problem involves the application of trigonometry, specifically the tangent function (tan) in relation to angle of depression. To start with, we need to note that the angle of depression is equivalent to the angle of elevation as observed from the ground upwards. Hence, if the angles of depression are 28° and 19° respectively, it would mean that the angles of elevation at the rocks would be 28° and 19° respectively.

We can use the formula for tangent, which is tan(θ)=Opposite/Adjacent. In this context, 'Opposite' is the height of the pile (11 feet), and 'Adjacent' is the distance from the base of the pile to the rock. We get two equations:

tan(28°)= 11/D1, with D1 being the distance from the rock to the pile on one side;and tan(19°)= 11/D2, with D2 being the distance from the rock to the pile on the other side.

We rearrange to find D1 and D2. Finally, the total distance (width of the pile) is simply D1 + D2. Using a calculator, D1 is approximately 21 feet and D2 is approximately 31 feet. Hence, the width of the sandpile is approximately 52 feet when rounded to the nearest foot.

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n/5 greater than or equal to 11

Answers

n/5 is greater than 11

Answer:

n = 55

Step-by-step explanation:

55/5 = 11!

Greater than or equal to 11 and 55 is greater than, 11.

The answer 55 also works with /5!

Please make sure to take care and have a great day!

Can anyone help me to understand how to solve coordinate proofs in Geometry?????

Answers

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)

Example:

To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and

XY=12PRXY=12PR

Proof:

Using the midpoint formula , the coordinates of the midpoints XX and YY are

X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)

First note that the slope is 00 , since

m=riserun     =(c2−c2)(b2−(a+b2))     =0(b2−(a+b2))     =0m=riserun     =(c2−c2)(b2−(a+b2))     =0(b2−(a+b2))     =0

So, XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ .

Now, compare the lengths of the two segments.

XY=a+b2−b2        =a2PR=a−0        =aXY=a+b2−b2        =a2PR=a−0        =a

So,

XY=12PRXY=12PR

Thanks to google for example


hope this helps

1. If 1/2 is added to three times the reciprocal of a number, the result is 1. Find the number.

2. The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equal to 5/7 . What is the original fraction?

TYYYSMMMM

Answers

1. Say the reciprocal of the number is x.

Then:

1/2 + 3x = 1

3x = 1/2
/3     /3

x = 1/6

Since x is the reciprocal of a number, just flip it around to find the real number.

1/6 flipped = 6

So the number is 6.

2. So here we can look at the difference between 5 and 7, because even if you subtract 5 from both numerator and denominator the difference will stay the same.

It's two.

Now you want to find how much you have to multiply two by to get four.

2 * ? = 4

? = 2

So therefore you have to multiply the whole fraction by two to get a fraction with a denominator - numerator equal to 4

5/7 * 2/2 = 10/14

And then just subtract five from the numerator and denominator.

10 - 5 / 14 - 5

5 / 9 was the original fraction

Saidhari bought a toaster oven for $60. this price was 1/4 The list price. What is the list price

Answers

60*4 = 240; the list price is $240

Simplify the following expression?
1/2(22m+30)

Answers

11m+15 is your answer
the answer would be =11m+15

What is X in this situation? I'm thinking that you could get X, via vertical angles, but I'm not too sure.

Answers

Use alternate interior angles.
The angle to the left of x is 32
The angle to the right of x is 68
Since the three angles(32, x, and 68) form a straight line, they are supplementary.
32+x+68=180
100+x=180 x=80

Leona spent $22.95 at the mall. She bought a T-shirt and a book. The book $12.25. How much did the T-shirt cost?

A. Write the equation that models the problem.

B. Solve the Equation.

C. Answer the question.

Answers

A) Let x = cost of t-shirt:

x= 22.95-12.25

B) x = 22.95 -12.25 = 10.70

C) the t-shirt cost $10.70


Juan has invested $3500 in a stock transaction. He later sold the stock and received $4553.50. What was Juan's return on investment (ROI)?

A.) about 23.1%

B.) about 130%

C.) about 76.9%

D.) about 30.1%

Answers

Basic ROI formula = (Gain - Cost)/Cost

ROI = (4553.50 - 3500)/3500
ROI = 0.3010

The total ROI for Juan's investment is approximately 30.1%, the answer should be D.  

c = 0.20m+2.00 what is the charge for 2.7 mile ride?

Answers

m = number of miles
m = 2.7 is plugged into the equation to get
C = 0.20*m + 2.00
C = 0.20*2.7 + 2.00
C = 0.54 + 2.00
C = 2.54
The cost is $2.54

The length of Leland’s garden is 15m 24cm.the length of his friend garden is 2m 98cm more than Leland’s . What is the length of his friend garden ?

Answers

15m 24cm + 2m 98cm
24cm+98cm=122cm or 1m 22cm
15m+2m=17m plus the 1m 22cm for a total of 18m 22cm

His friend's garden is 18.22 meters long.

R (Read):

Leeland's garden is 15 meters and 24 centimeters long.

His friend's garden is 2 meters and 98 centimeters longer than Leeland's.

We need to find the length of his friend's garden.

D (Define):

Let L be the length of Leeland's garden in meters.

Let F be the length of his friend's garden in meters.

W (Write):

We can write the given information as equations:

L = 15.24 meters (converting 24 cm to meters)

F = L + 2.98 meters

Solve:

Substitute equation 1 into equation 2:

F = (15.24 meters) + 2.98 meters

F = 18.22 meters

30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!

The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).



What is the perimeter of the polygon to the nearest tenth of a unit?



15.3 units
16.9 units
17.5 units
17.9 units

Answers

Answer:

  16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

  14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

  d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

  AB = √(5²+1²) = √26 ≈ 5.099

  BC = √(1²+3²) = √10 ≈ 3.162

  CD = Δx = 3

  DE = √(3²+2²) = √13 ≈ 3.606

  EA = Δy = 2

Then the perimeter is ...

  P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

  P ≈ 16.9

What are the key variables that must be weighed against each other when considering an HMO, PPO, fee-for-service, or other plan?

Answers

You should consider cost and whether the plan covers the things you want it to. Deductible would also be an important factor. You want to make sure to get the right kind of plan for your needs so you can stay healthy and can get medical care.

Mentally estimate the total cost of items that have the following prices 1.85 $ .98 $3.49 $9.78 and $6.18 round off your answer to the nearest half dollar

Answers

The total cost is $22.28, rounded to the nearest half dollar is $22.50.

Final answer:

To estimate the total cost, each item's price is rounded to the nearest half dollar: $1.85 to $2.00, $0.98 to $1.00, $3.49 to $3.50, $9.78 to $10.00, $6.18 to $6.00. Summing the rounded figures, the estimated total is $22.50.

Explanation:

To mentally estimate the total cost of the items, we round each item's price to the nearest half dollar and then add them up.

Item 1: $1.85 rounds to $2.00Item 2: $0.98 rounds to $1.00Item 3: $3.49 rounds to $3.50Item 4: $9.78 rounds to $10.00Item 5: $6.18 rounds to $6.00

Adding up the rounded figures gives us: $2.00 + $1.00 + $3.50 + $10.00 + $6.00, which equals $22.50. Thus, the estimated total cost of the items is $22.50, rounded to the nearest half dollar.

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