Here are the diameters of four coins: penny (1.9 cm), nickel(2.1cm), dime (1.8cm), quarter (2.4cm). A coin rolled about 33 cm in 5 rotations. Which coin is it? Use 3.14 for pi

Answers

Answer 1

Answer: Nickel

Step-by-step explanation:

Hi, to answer this we have to calculate the circumference of each coin:

C =π diameter.

Penny = 3.14 (1.9)= =5.96 cm

Nickel = 3.14 (2.1) =6.6 cm

Dime = 3.14 (1.8) =5.62 cm

Quarter = 3.14 (2.4) =7.53 cm

Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.

5x=33

x =33/5 =6.6 cm

The coin is the nickel, because its circumference is equal to 6.6 cm.


Related Questions

Which expression is equivalent to

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate​

Answers

Answer:

€800 = $1200

New exchange rate =

750/1200 = 1.6

The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule with the coordinates of its vertex.

Answers

Answer:

For  [tex]f(x)=6(x-5)^2-9[/tex]   the vertex is: (5, -9)

For  [tex]f(x)=9(x+5)^2-6[/tex]  the vertex is: (-5, -6)

For  [tex]f(x)=5(x-6)^2+9[/tex]  the vertex is: (6, 9)

For  [tex]f(x)=6(x+9)^2-5[/tex]  the vertex is: (-9, -5)

For  [tex]f(x)=9(x-5)^2+6[/tex]  the vertex is: (5, 6)

Step-by-step explanation:

Let's identify the vertex pair [tex](x_v,y_v)[/tex] from each equation:

A)  [tex]f(x)=6(x-5)^2-9[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=-9[/tex] , that is: (5, -9)

B)  [tex]f(x)=9(x+5)^2-6[/tex]  corresponds to [tex]x_v=-5\,\,\,and\,\,\,y_v=-6[/tex] , that is: (-5, -6)

C)  [tex]f(x)=5(x-6)^2+9[/tex]  corresponds to [tex]x_v=6\,\,\,and\,\,\,y_v=9[/tex] , that is: (6, 9)

D)  [tex]f(x)=6(x+9)^2-5[/tex]  corresponds to [tex]x_v=-9\,\,\,and\,\,\,y_v=-5[/tex] , that is: (-9, -5)

E)  [tex]f(x)=9(x-5)^2+6[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=6[/tex] , that is: (5, 6)

The answer is (vertex (5,-9) and using Tex

Which expression is equivalent to 4(n + 5)?

Answers

Answer:

4n+20

Step-by-step explanation:

Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)

Answers

Answer:

hmm i think its answer B hope i helped :)

Step-by-step explanation:

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?

Let h represent the hours traveled.
Let m represent the miles traveled.
m = 45h
h = 45m
m = 45 + h
h = 45 – m

Answers

Hi there!

The answer would be A. m = 45h

Hope this helps

Answer:

m=45h

Step-by-step explanation:

The independent variable here is h, the number of hours it traveled, and this determines m.

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Answers

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

The measure angle RST is 99 degrees.

To find measure angle RST.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

SU is angle bisector of <RST. So it can divide into 2 parts.

Measure angle RST= measure angle RSU+ measure angle UST

Measure angle RST=81+18

Measure angle RST=99 degrees

So, the measure angle RST is 99 degrees.

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In order to solve 439-165 would I need to regroup to solve? If yes in what place? Why?

Yes, you need to regroup in the ________place because
______________________.

Answers

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Have a great day

what is (3²-2³)⁶⁶ total​

Answers

Answer:

1

Step-by-step explanation:

(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1

(3²-2³)⁶⁶ total​ is 1

To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation

From (3²-2³)⁶⁶

(3²-2³) can be simplified as shown below

= 3 × 3 = 9

and

= 2 × 2 × 2 = 8

∴ (3²-2³) = (9 - 8) = (1)

∴ (3²-2³)⁶⁶ becomes (1)⁶⁶

(1)⁶⁶ = 1

(NOTE: 1 raised to any power is 1)

Hence, (3²-2³)⁶⁶ total​ is 1

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PLEASE HELP 1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter
months. When spring arrives, the warm air gradually melts the ice, causing its thickness to
decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of
the sheet of ice and t represents the time in weeks.
a. What is the initial value of this function?

b. What is the rate at which the ice sheet is melting?

c. How thick will the ice sheet be after 3 weeks?

Answers

Answer:

a). 2 meters

b). 0.25 meters per week

c). 1.25 meters

Step-by-step explanation:

Thickness of the ice sheet on the lake = 2 meters

Thickness decreases with a constant rate and thickness is modeled by the function,

h(t) = 2 - 0.25t  [t = time or duration in weeks]

a). Initial value of this function will be it's y-intercept,

h(t) = 2 meters

b). Rate of the melting of this sheet  (slope of the line) = 0.25 meter per week

c). After 3 weeks or t = 3 weeks,

h(3) = 2 - 0.25 × (3)

      = 2 - 0.75

      = 1.25 meters

The domain of f(x) is the set os all real numbers greater than or equal to 0 and less than or equal to 2. True of false

Answers

Answer:

True

Step-by-step explanation:

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Diagram of how a function relates two relations.

Figure 2

We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write

(

0

,

1

0

0

]

(0, 100]. We will discuss interval notation in greater detail later.

Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.

Before we begin, let us review the conventions of interval notation:

The smallest term from the interval is written first.

The largest term in the interval is written second, following a comma.

Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.

Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.

The table below gives a summary of interval notation.

Summary of interval notation. Row 1, Inequality: x is greater than a. Interval notation: open parenthesis, a, infinity, close parenthesis. Row 2, Inequality: x is less than a. Interval notation: open parenthesis, negative infinity, a, close parenthesis. Row 3, Inequality x is greater than or equal to a. Interval notation: open bracket, a, infinity, close parenthesis. Row 4, Inequality: x less than or equal to a. Interval notation: open parenthesis, negative infinity, a, close bracket. Row 5, Inequality: a is less than x is less than b. Interval notation: open parenthesis, a, b, close parenthesis. Row 6, Inequality: a is less than or equal to x is less than b. Interval notation: Open bracket, a, b, close parenthesis. Row 7, Inequality: a is less than x is less than or equal to b. Interval notation: Open parenthesis, a, b, close bracket. Row 8, Inequality: a, less than or equal to x is less than or equal to b. Interval notation: open bracket, a, b, close bracket.

help someone please​

Answers

Answer:

C) [tex]1\frac{6}{100}[/tex]

Step-by-step explanation:

Hope this helps!

a metal pole was placed in the ground and stands 30 feet high. two strands of lights were strung down from the top of the pole, forming a 46 degree angle to the ground. which theorem would be used to prove that the two strands of lights are equal in length?

SSS
AAS
ASA
SAS​

Answers

Answer:

AAS

Step-by-step explanation:

angle 46 degree rt.angle made by pole to the ground common side formed by the pole

Hope this helps!

A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15

Step-by-step explanation:

15 options and 8 odd numbers

Answer: 9/14

Step-by-step explanation:

There are 3 blue cards, 3 odd numbered red cards, and 3 odd numbered green cards. 3 + 3 + 3 = 9

Red - R1, R2, R3, R4, R5

Blue - B1, B2, B3

Green - G1, G2, G3, G4, G5, G6

= A total of 14 cards

Answer = 9/14

(This answer is verified and was the correct answer in the program)

Which calculator correctly shows the quotient 6.47x10^-15/3.36x10^-29

Answers

1.92559524e+14

Step-by-step explanation:

6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:

6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}

Therefore 1.92559524 x 10^{14}  or 1.92559524e+14

1.92559254e+ 14 is the correct value of the given expression.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given a number  6.47x10^-15/3.36x10^-29

Solving this given number using PEMDAS

=> 6.47x10^-15/3.36x10^-29

=> (6.47 * 10⁻¹⁵) / (3.36 * 10⁻²⁹)

=> (6.47 / 3.36) * 10⁻¹⁵ ⁺ ²⁹

=> 1.92559254 * 10¹⁴

in Scientific notation:

=> 1.92559254e+ 14

therefore, the correct value of the given expression is 1.92559254e+ 14.

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When the determinant of the coefficient matrix of a system of equations does not equal zero, the system has _________ solution(s)?

Answers

Answer:

one solution

Step-by-step explanation:

it means when the denominator does not equal zero

2. (08.01) Two lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? (4 points) It is (18, 9). It is (9, 18). There are infinitely many solutions. There is no solution.

WILL GIVE BRAINLIEST

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Given the 2 equations

2x + 2y = 18 → (1)

x + y = 9 → (2)

Equation (1) is twice (2)

Thus the equations are equal and will have infinite solutions

All identities are equations, and all equations are identities.
A. True
B. False

Answers

this is false not all equations and all equations are identities are same

HURRY, I'M BEING TIMED ON STUDY ISLAND! On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 3 p.m., they had sold 110 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?

Answers

Answer:

I say the inequality with the greater than or equal

Step-by-step explanation:

They want to reach there goal so it’s more or equal to

A company is designing a new cylindrical water bottle. The volume of the bottle will be 149 cmcubed. The height of the water bottle is 8.7 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.33

Step-by-step explanation:

If you put the numbers into the radius formula you should end up with this number hope this helps:)

Which of the following are mathematical sentences? Check all that apply.
A. 5- V
B. 2 <3
c. 4 + 3 = 7
D. G

E. 7
F. 5-d = 9
Need help

Answers

C and F

....................

Answer:

B. 2 <3 and C. 4 + 3 = 7 and F. 5-d = 9

Please help me I need this answer very bad (Picture Attached)​

Answers

Answer:

median                                              2nd was the answer

Step-by-step explanation:

Determine the root of the equation
f(x) = e2x- x-6 closet to the point 0.95
Leave
your answer to five decimal places

Answers

Answer:

0.97087

Step-by-step explanation:

Given the function:

[tex]f(x) = e^{2x} - x - 6[/tex]

Its first derivative is:

[tex]f'(x) = 2e^{2x} - 1[/tex]

Using Newton's method:

[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]

and starting with the point:

[tex]x_1 = 0.95[/tex]

we get:

[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]

[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]

[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]

[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]

[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]

[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]

[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]

Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches. The total area of the two triangles is _____ square inches.

Answers

The entire figure could be taken as a trapezium

A=1/2h(a+b)

h=8, a=6 and b=10

A=1/2×8(6+10)

A=4×16

A=64sq Inch

Answer:

128 or 56

Step-by-step explanation:

(8 X 10) + (6 X 6)

 80       +      48 = 128

OR

No 10 eliminate it because it on the line

8 X (6 X 6) = 48 + 8 = 56

Help!!due today help as quickly plz 3 and 4​

Answers

Answer and Step by Step explanation:

3. 7(1.5) + 2(4) + 3(6.5) + 5(7)

  = 10.5 + 8 + 19.5 + 45

  = 83 grams of salt

You look at the x-axis of the graph and that is the amount of grams of salt, and the dots represent one container. So you multiply the number of dots (containers) by the amount of grams (stated on the number line).

4. 83 x 2

  = 166 grams of salt

This is because you already solved how much one of each container would be in the last question (question 3), so you would just have to multiply it my 2 to get the answer.

Mrs. Le has 40 markers for her art class. 20% of the markers are red. How many markers are red?

Answers

8 markers are red;
20%=0.2
40x0.2=8

Sorry wrong question delete this awnser

What is the m < FAB?

Answers

Answer:

∠ FAB = 75°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FAB is an external angle, thus

13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )

10x - 3 = 57 ( add 3 to both sides )

10x = 60 ( divide both sides by 10 )

x = 6

Thus

∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°

All of the following are equivalent to 3:8 = x : 32 except

8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x

Answers

Answer:

8:3=32:x

Hope thos helps you

The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16

I'm asking it again cause I got an answer that had nothing in it!

Answers

Answer:

The answer is 3:6 for above probability

Look at the picture below. Urgent help please!!!!

Answers

X = about 11.5

Look at the image and I’ll be glad to explain more.

Answer:

x≅11.49 or x=2√33

Step-by-step explanation:

8^2+x^2=14^2

64+x^2=196

(subtract 64 from both sides)

x^2=132

(square root both sides)

x≅11.49

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If the number of swarms stays constant each year, what is the probability of observing between 9 and 15 (inclusive) swarms? Which compound is an isomer of propanoic acid (CH3CH2COOH)?A)CH2CHCOOHB)CH3CH2CH2COOHC)CH3CH(OH)CH2OHD)HCOOCH2CH3 Find the value of each variable. Be sure to explain your answers.a 3 = - 30-9 b = 45-84 12 = cd 88 = -88,000a =b =c =d = What is the concentration of a 34% solution converted to parts per million (ppm).?34,000,000 ppm340.000 ppm34,000 ppm3,400 ppm Which would be considered a physical change of matter? A plan for ending poverty and bringing success and wealth to all was referred to by President Johnson as _____ Find the first six terms of the sequence. a1 = 7, an = an-1 + 6 Which statement accurately describes chemical rocks? The following data represent quantities of tea leaf pluckings (tender shoots from tea plants) from sixteen different plots of tea bushes intended for experimental use in Ceylon, a type of tea from Sri Lanka. The tea bushes are randomly divided into four different treatment groups. Experimenters wish to determine if the mean number of pluckings differs among the four treatments. Test this using 5% significance, assuming that these samples are drawn from normal populations with equal variances. Treatment 1 Treatment 2 Treatment 3 Treatment Pluckings Pluckings Pluckings Pluckings 88 102 91 88 94 110 109 118 109 110 115 94 88 102 91 961. Give the null and alternative2. What is the value of the F-test statistic? Add the F-test statistic to the graph and shade the right tail. Use technology to determine the P-value for this hypothesis test. 3. What does the P-value tell you about the null and alternative hypotheses? 4. State a conclusion in the context of this problem. What does the scientific method help test in environmental science? To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car. Salid bought 30 feet of window trim at a hardware store. The trim cost $1.75 per foot including sales tax. If Salid paid with a $100.00 bill, how much change should he have received? On April 1st, Bob the Builder entered into a contract of one-month duration to build a barn for Nolan. Bob is guaranteed to receive a base fee of $4,000 for his services in addition to a bonus depending on when the project is completed. Nolan created incentives for Bob to finish the barn as soon as he can without jeopardizing the structural integrity of the barn. Nolan offered to pay an additional 25% of the base fee if the project finished 2 weeks early and 20% if the project finished a week early. 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Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4. Finley CompanyEnd-of-Period SpreadsheetFor the Year Ended December 31 Adjusted Trial Balance Income Statement Balance SheetAccount Title Debit Credit Debit Credit Debit CreditCash 16,000 16,000 Accounts Receivable 6,000 6,000 Supplies 2,000 2,000 Equipment 19,000 19,000 Accumulated Depr. 6,000 6,000Accounts Payable 10,000 10,000Wages Payable 2,000 2,000Common Stock 5,000 5,000Retained Earnings 11,640 11,640Dividends 1,000 1,000 Fees Earned 40,291 40,291 Wages Expense 20,072 20,072 Rent Expense 5,057 5,057 Depreciation Expense 5,802 5,802 Totals 74,931 74,931 30,931 40,291 44,000 34,640Net Income (Loss) 9,360 9,360 40,291 40,291 44,000 44,000The ending balance of retained earnings isa. $16,640b. $0c. $9,360d. $20,000