The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.
Answers
Answer:
\(180.4~cm^2\)
Step-by-step explanation:
Surface Area
The surface area of a cylinder of height h and radius r is given by:
\(A=2\pi rh\)
It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:
\(A=2\pi rh+2\pi r^2\)
The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.
Now we calculate the side area of the can:
\(A=2\pi (3.25)(8.5)\)
\(A=173.6~cm^2\)
We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:
\(A_o= 0.8*8.5=6.8~cm^2\)
The total area of the label is:
\(A=173.6~cm^2+6.8~cm^2=180.4~cm^2\)
The area of the label is \(\mathbf{180.4~cm^2}\)
Related Questions
Hello! Really need some help with this
Answers
Answer:
F
Step-by-step explanation:
Brainliest ?!?!!?!?
F. n77
Find the perioa
equation.
llowing
y = 2 cos(5x + 3) - 6
77
Period = [2]T
Give your answer in simplest form.
![Find the perioaequation.llowingy = 2 cos(5x + 3) - 677Period = [2]TGive your answer in simplest form.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/LQPTncYwbgWAlBk9oUI1EamQ5J0oFRZg.png)
Answers
Answer:
In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.
The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.
The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.
So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:
T = 2π / 5
This is the simplest form for the period of the given function.
The blue dot is at what value on the number line?
???????
Answers
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTWhat is the equation?
Answers
Answer: y= 2x + 2
Step-by-step explanation:
Let the universal set be the set of integers and let A = {x | ≤ 5}. Write A using the roster method.
Answers
Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}
Step-by-step explanation:
We have that the set A is the set of all the integers equal to or smaller than 5.
To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:
A = {...
Which means that it continues in that direction.
Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.
A = {..., -1, 0, 1, 2, 3, 4, 5}
And that is the set A in written with the Roster Method
Susan is running a 5k race. The graph of distance vs. time is shown.
What interval is she running the fastest?
Answers
The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
Given data ,
Susan is running a 5k race. The graph of distance vs. time is shown
So , the slope of the first line is m₁
And , the slope of the second line is m₂
where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )
Now , slope of AB is
m₁ = ( 3/10 ) = 0.3
And , m₁ = 0.3 kilometers per minute
And , slope of BC is
m₂ = ( 4 - 3 ) / ( 20 - 10 )
m₂ = 1/10
m₂ = 0.1 kilometers per minute
Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )
Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
Triangle TUV is dilated by a scale factor of 2.5
Answers
The coordinates of V' include the following: V' (-5, -10).
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.
In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:
V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answers
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
late the sentence into an equation.
Three less than the product of 2 and a number is 4 .
Use the variable x for the unknown number.
Answers
The expression of the given statement is 2y - 3 = -1
What is Expression?Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.
A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.
The expression of the given statement is 2y - 3 = 4.
Here, let the unknown number = y
Now, product of y and 2 = 2 times y = 2y
Also, three less than the product = Product - 3
So, three less than the product of 3 and y = 2 y - 3
Now, this above expression is equivalent to -1.
⇒2 y - 3 = -1
Hence the expression of the given statement is 2y - 3 = -1
To know more about Expression, visit:
https://brainly.com/question/1859113
#SPJ1
The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4
What is an equation?A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.
It has two sides that are divided by the equals sign (=).
Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.
Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.
To know more about expressions visit:
https://brainly.com/question/19131200
#SPJ1
A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be tested using 60 pieces of decking wood. The company wants to create treatment groups of 20 pieces of wood each, and decide to randomize using slips of paper. Select all the approaches that would result in comparable treatment groups. The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is returned to the hat. This continues until all pieces of wood have been assigned to a group. The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. A slip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on the slip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remaining pieces of wood are assigned to the remaining group. Each piece of decking wood is assigned a number from 1 to 60. The numbers 1–60 are written on slips of paper and placed in a hat and shaken well. Twenty slips are drawn, shaking the hat after each slip of paper is drawn, and the pieces of wood corresponding to those numbers are placed in group 1. Twenty more slips are drawn in the same way, and the pieces of wood corresponding to those numbers are placed in group 2. The pieces of wood corresponding to the numbers on the remaining slips are placed in group 3. The numbers 1, 2, and 3 are each written on 20 slips of paper (20 for each number) and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected, and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is not returned to the hat. This continues until all pieces of wood have been assigned to a group.
Answers
Answer:
The Answer is C and D
Step-by-step explanation:
Just did it
Static variables and methods are accessed through a class rather than through an instance of a class.
Answers
True i asked my friend for help though
a chord 7cm long is drawn in a circle of radius 3.7cm. calculate the distance of the chord from the centre of the circle
Answers
Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:
Distance from center = sqrt(r^2 - (c/2)^2)
Where r is the radius of the circle and c is the length of the chord.
In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.
So, substituting these values in the formula, we get:
Distance from center = sqrt(3.7^2 - (7/2)^2)
= sqrt(13.69 - 12.25)
= sqrt(1.44)
= 1.2 cm
Therefore, the distance of the chord from the center of the circle is 1.2 cm.
Step-by-step explanation:
PLEASE ANSWER THIS NOW !!!!!!!!!!!!!!!!!!1
NEED HELP SO BAD
Answers
The length of the real life plane is 8000 centimetres.
The scale model as a ratio is 1:2000.
How to find the scale of a model?A model of a plane has a length of 4 cm. The real life plane has a model of 80 m.
The length of the real life plane in centimetres is as follows:
1 metre = 100 centimetres
80 metres = ?
cross multiply
length of the real life plane in cm = 80 × 100
length of the real life plane in cm = 8000 centimetres
The scale model can be calculated as follows;
scale model = 4 / 8000
scale model = 1 / 2000 = 1:2000
learn more on scale model here: https://brainly.com/question/8131763
#SPJ1
During surgery, patient's circulatory system requires at least 50 milligrams of an anesthetic: The amount of anesthetic present hours after 70 milligrams of anesthetic administered given by the following T(t) 70(0.727)t (a) How much, to the nearest milligram, of the anesthetic is present in the patient's circulatory system 30 minutes after the anesthetic is administered? (b) How long_ to the nearest minute can the operation last if the patient does not recelve additional anesthetic?
Answers
63 mg of anesthetic is present in the patient’s circulatory system.
The operation can last for 20 minutes.
During surgery, a patient’s circulatory system requires at least 50 mg of an anesthetic. The amount of anesthetic present t hours after 70 mg of anesthetic is administered is given by the following,
T(t) = 70 × (0.727) ^t
Time = 1/3 hours
T (1/3) = 70 × (0.727) ^1/3
= 70 × ∛ 0.727
= 70 × 0.899176
= 62.94232
To the nearest mg: 63mg
Now,
63 = 70 × (0.727) ^t
63/70 = (0.727) ^t
0.9 = (0.727) ^t
Log0.9 = log (0.727) ^t
Log0.9 = t × log (0.727)
T = log0.9 / log0.727
T = 0.330461
T = 0.330461 hours
= 20 minutes
To know more about Logarithms, refer to:
http://brainly.com/question/25710806
#SPJ4
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
Answers
Which problem can be solved by performing this multiplication?
3/4×8/9
Responses
Evan practiced piano this week for 3/4 hour. Last week he practice for8/9 hour. How much longer did Evan practice last week than this week?
Jada rode her bike 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike. How far did Sarah ride her bike?
Amelie drove 3/4 mile. She then drove another 8/9 mile. How many miles did she drive in all?
Three out of 4 containers hold lemonade. Each container holds 8/9 quart of lemonade. How much lemonade do the containers all hold?
Answers
The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
As per option (B),
Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.
Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.
Sarah rides her bike = 3/4 × 8/9
Therefore, this problem can be solved by performing the above multiplication.
Hence, the correct answer would be an option (B).
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ1
/////////////////////////////////////////////////
Answers
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124
Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.
Answers
Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.
Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.
I hope this helps! Do you have any other questions?
What is the solution of the system of equations?
y = 23x + 5
7x – 3y = 15
A. (0, 5)
B. (2, 193)
C. (4, 233)
D. (6, 9)
Answers
Answer:
D
Step-by-step explanation:
I had this question
Please answer this question thx
Answers
Answer:
27/56
Step-by-step explanation:
Given that the ratio of black shape to white shape cards is 3 : 5, and the ratio of circle to triangle cards is 2 : 7, and the only cards in the game have black or white shapes that are a circle or triangle, you want the ratio of black shape cards to triangle cards.
FractionsThe fraction of total cards with a black shape is 3/(3+5) = 3/8.
The fraction of total cards with triangles is 7/(2+7) = 7/9.
Then the ratio of interest is ...
black shape : triangle = (3/8) : (7/9) = 27 : 56
The number of black shape cards is 27/56 of the number of cards with a triangle.
__
Additional comment
The ratio of fractions can be made a ratio of integers by multiplying it by 72, the least common denominator of the two fractions.
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-4 17
1 -3
6 -23
11 -43
Answers
well, to get the equation of a line all we need is two points, so let's simply pick two points off the table, hmmmm say (1 , -3) and hmmm (11 , -43)
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{11}~,~\stackrel{y_2}{-43}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-43}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{11}-\underset{x_1}{1}}}\implies \cfrac{-43+3}{10}\implies \cfrac{-40}{10}\implies -4\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-4}(x-\stackrel{x_1}{1}) \\\\\\ y+3=-4x+4\implies y=-4x+1\)
A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?
Answers
Answer:
The motorist's rate is:
rate = distance / time
where distance is measured in kilometers and time is measured in hours.
We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:
rate = distance / time = 228 km / 6 hours = 38 km/hour
To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:
time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours
Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.
Solve for z. (10+z)-4= 18 Select the number from the drop down menu to correctly complete the statement. The value of z is 4 6 12 32
Answers
Answer:HEYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY TOMATOE TOMATOE TOMATOE BOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
Step-by-step explanation:
A number is chosen at random from a set
of whole numbers from 1 to 50. Calculate
the probability that the chosen number:
Is not a perfect square
Is not a multiple of 4
Is more than 45
Is not more than 45
( Answer before 8pm )
Answers
The probability that the chosen number selected satisfies the given condition is given below.
What is Probability?Probability is the measure of the likeliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty, and 1 indicates certainty.
The set is numbers from 1 to 50.
The chosen number is not a perfect square,
The perfect square numbers are 1, 4, 9, 16, 25, 36, and 49.
The chosen number is not a perfect square, 50 - 7 = 43.
The probability that the chosen number is not a perfect square = 43/50
It is not a multiple of 4
Multiples of 4 are 4,8,12,16,20,24,28,32,36,40,44,48 are 12 numbers
The chosen number is not a multiple of 4 = 50 -12 = 38
The probability that the chosen number is not a multiple of 4 = 38/50
It is more than 45.
The number more than 45 is 5
The probability that the chosen number is more than 45 is,
= 5/50
= 1/10
It is not more than 45.
The number not more than 45 is 45.
The probability that the chosen number is not more than 45 is,
= 45/50
= 9/10
To know more about Probability
https://brainly.com/question/11234923
#SPJ1
4x? + 10x² + 10x + 25The area of a rectangele isFind it's base and height
Answers
it is given that the area of the rectangle is 4x^3 + 10x² + 10x + 25
we know that the are of a rectangle is
Area = base x height
so,
we will do factor of the given expression
the factor of the above equation is,
\(4x^3+10x^{2}+10x+25=(2x^2-5)(2x-5)\)so, the base and height is (2x^2 -5) and (2x -5)
Solve the
equation:
-X/5 =q
Answers
Answer:
x = -5q
Step-by-step explanation:
-x/5 = q
-x = 5q
x = -5q
Answer:
-2
Step-by-step explanation:
You have just taken out a $2,560 loan from your local bank. You paid off the loan in 1 year with a total interest charge of
$300.00. Determine, from the information given, the amount of your monthly payment if you pay off the loan in 12 months.
Round your answer to the nearest hundredth of a cent.
$238.33
C. $334.50
b. $300
d. $400.00
a.
Answers
Answer:
A, $238.33
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
yep yep
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
Answers
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108
Answers
Answer:
Step-by-step explanation:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Answer:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Step-by-step explanation:
Find X. Round your answer to the nearest TENTH of a degree. (GIVING BRAINLEST)
Answers
Answer:
36.8 i think
Step-by-step explanation: