A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.
What is a reasonable approximation for the volume of a soda can?The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.
How much pressure does a 12 oz. soda can typically hold?When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.
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Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points) Part B: How much time does Jackie spend running every day
Jackie spends 15 minutes running every day.
Part A: The relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day can be represented by the following pair of linear equations:
Equation 1: x + y = 55 (This equation represents the total amount of time Jackie spends running and dancing every day, which is 55 minutes)
Equation 2: y = x + 25 (This equation represents the relationship between the number of minutes Jackie runs and the number of minutes she dances, which is that she dances 25 minutes longer than she runs)
Part B: To find out how much time Jackie spends running every day, we can substitute the second equation into the first equation:
x + (x + 25) = 55
2x + 25 = 55
2x = 30
x = 15
Therefore, Jackie spends 15 minutes running every day.
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An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.
Speed of the given object in centimeters per hour
= 0.23 cm / hour
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Like 1 yard = 91.44 cm
1 month = 730 hrs.
Distance covered by the object = 11 yards
Distance covered in cm = 11 × 91.44 = 1005.84 cm
Time taken to cover 11 yards = 6 months
Time taken in hours = 6 × 730 = 4380 hrs.
Speed of the object = distance covered by the object / Time taken
Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour
Hence, in centimeters per hour,
the speed of the object is 0.23 cm / hour.
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A body accelerate from ret and cover a certain ditance in a certain time. Uing thi information, dervive the four equation of a uiformly accelerated motion
The four equations of uniformly accelerated motion are:
[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]
What is uniformly accelerated motion?Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:
[tex]v = u + at[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.[tex]s = ut + (1/2)at^2[/tex], where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.[tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.[tex]v = u + 2as/t[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled and t is the time.These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.
The first equation is a result of the definition of acceleration.
The second one is derived from the first equation and the definition of distance.
The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.
The fourth equation is derived by dividing the distance traveled by the time taken.
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HELPPP!!!!
Option A: You are given $100 on the first day and then receive $10 each day for the month of February.
Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.
Write a function rule to represent the total amount earned with Option A.
Write a function rule to represent the amount of money you will have earned with Option B.
Answer:
For Option A, the function rule would be:
totalAmountEarned(days) = 100 + 10*days
For Option B, the function rule would be:
totalAmountEarned(days) = 2^days
Step-by-step explanation:
Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem
On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
11g +4= 3r-6
g = 0
3r = -10
r = -10/3
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The first function is linear, with a y-intercept of 20, and a slope of 4:
S(x)=4x+20
The second function is exponential and has a multiplier of 2 and an initial value of 3:
J(x)=3(2)x
The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
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Find the area of the haded region. Give your anwer a a completely implified exact value in term of π (no approximation). Chapter Reference b A 1 cm 1 cm 3 cm C O B D P
The shaded region has a surface area of 7π.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
find the area of the circle with radius =3 cm,
then subtract the areas of the two circles with radius 1 cm
pir^2 = the area of a circle with radius = r
=pi(3)^2 -pi(1)^2 - pi(1)^2
= 9pi -pi-pi
= 9π-2π
= 7π
The area of shaded region is 7π.
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What y-intercept means?
A line's x-intercept as well as y-intercept are the points at which the x- and y-axes, respectively, are crossed.
Now, According to the question:
Let's know:
Definition of Intercept
The term "intercept" refers to the location where a line and curve crosses an graph's axis. The x-intercept would be the point at which the x-axis gets crossed. The y-intercept would be the point at which the y-axis becomes crossed.
The x- as well as y-axis intersection point gets what is meant when a line has an intercept. The y-axis was often taken into account if indeed the axis is also not stated. The letter "b" can be typically used to represent it.
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Y=4x-4 two step function table
x y is the two-step function table of the given linear equation
0 -4
1 0
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
given an equation y = 4x -4
Use the slope-intercept form to find the slope and y-intercept.
y = mx + c
m =4
c = -4
Slope = 4
The slope of the line is the value of m, and the y-intercept is the value of b.
y-intercept : (0, -4)
x-intercept where y = 0 : (1, 0)
Therefore, the table of the two-step functions is Written below.
x y
0 -4
1 0
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What do you mean by equivalents?
The term equivalent means equal or interchangeable in value, quantity, significance, etc.
In math term equivalent is used for the following concepts.
expressionfractionetc.Here we have to know that the term equivalent refers to two numbers, expressions, or quantities with the same value.
Here there are many ways to express an equivalent quantity and it can be denoted either by a bar or an equivalent symbol.
Here we want to know that the equivalent can also mean some common or logical equivalence between different values or quantities.
Therefore, based on these definition we have identified that the equivalence is similar but not the same as equality.
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The coordinate of A i -9 and the coordinate of C i 12. The ditance between A and B i 1/3 of AC. What i the coordinate of B?
The cordinate of point B is -2.
To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.
First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.
Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.
Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.
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hi, can someone please help me
this is your proper answer
hii, how are you
Answer:
15
Step-by-step explanation:
Let the total number of beads be x[tex]\because\: \frac{3}{8}[/tex] of the beads are blue.& Total number of blue beads = 9[tex]\rightarrow\: \frac{3}{8}\times x= 9[/tex][tex]\rightarrow\: x= \cancel{9}\times\frac{8}{\cancel{3}}[/tex][tex]\rightarrow\: x=3\times 8[/tex][tex]\rightarrow\: x=24[/tex]Number of purple beads = 24 - 9 = 15Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
PLS HELP ME IM ABT TO CRY!!!! 100 PTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
If Salesman A has exactly ____ sales, he will reach his maximum weekly commission.
Answer:
Sales = 20
Step-by-step explanation:
Simply make the equation "1300 = 65s" to solve the problem
1300 = 65s
Divide both sides by 65.
1300/65 = 65s/65
Divide 1300 by 65 to get 20.
20=s
Swap sides so that all variable terms are on the left-hand side.
s=20
3.) In a proportional relationship, y=2 when x = 8. Which of the following equations would describe this relationship? (1) y=1/4x (2) y = 4x (3) y=x-6 (4) y =1/2x-2
The correct option is y=1/4x.Because it holds the directly proportional relationships.
What is directly proportional?Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
How do you find if an equation is a proportional relationship?A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.
NOW we find
according to directly proportion
y∝x
y=kx
y/x=k
2/8 =k
1/4 =k
Now we get
y = 1/4x
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Solve the system by graphing
2x-3y=-6
7x-3y=9
Following is the graph of two given equations.
The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.
On solving the two equations,
2x-3y=-6 ....(1)
7x-3y=9 .....(2)
Firstly we will find common points by elimination -
The common points are - (3,4)
Then We can find all the values of equation (1)
2x-3y=-6
x 0 3 -3
y 2 4 0
7x-3y=9
x 0 3 10
y -3 4 20.33
The respective graph is attached below
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Select the interval where f is negative.
Answer: A
Step-by-step explanation:
Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.
A: correct
Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.
B: incorrect
Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.
C: incorrect
Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.
Therefore, A is the correct answer.
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}
Me resuelven está 2 porfa
a) Each person would receive 1/6 of the cake
b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?
What is the problem?We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.
Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.
2 1/2 = 15 x
5/2 = 15x
5 = 2 * 15x
x = 5/2 * 15
x = 1/6
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Can you form a triangle with side lengths 8 9 and 17?
No, you cannot form a triangle with side lengths 8, 9, and 17. The sum of any two sides of a triangle must be larger than the remaining side. 8 + 9 = 17, which is not larger than 17.
1. A triangle is a three sided polygon with three angles and three sides.
2. In order to form a triangle, the sum of any two sides of the triangle must be larger than the remaining side.
3. To test if a triangle can be formed with side lengths 8, 9, and 17, we need to add two of the sides together and see if the result is larger than the remaining side.
4. 8 + 9 = 17, which is not larger than 17, so a triangle cannot be formed with side lengths 8, 9, and 17.
5. Therefore, you cannot form a triangle with side lengths 8, 9, and 17.
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vanessa will sell yogurt for $2.50 a cup fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt
answer: 47.5 cups
Step-by-step explanation:
2.50 x 19 = answer
At Clara's Beading Boutique, 9 out of the 18 beads on clearance are plastic. What percentage of beads on clearance are plastic?
The percentage of beads on clearance are plastic is 50%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Total number of beads = 18
Number of beads which are plastic on clearance = 9
Percentage of beads which are plastic on clearance = (9 / 18) × 100
= (1/2) × 100
= 0.5 × 100
= 50%
Hence 50% of beads on clearance are plastic.
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NEED HELP ASAP
PLEASE REFER TO PICTURE
What is a binomial Class 8?
The Binomial Expression is defined as the type of algebraic expression that consists of exactly two terms .
What is Binomial Expression ?
The algebraic expression which contains exactly only two terms is termed as binomial expression . It is called a two term polynomial.
the binomial is also called a sum or a difference between two or more monomials. Binomial is the simplest form of a polynomial.
Some Examples of Binomial Expression are ⇒ [tex]4x^{2} +6y^{2}[/tex] , [tex]xy^{3} +xy[/tex] ;
Various Mathematical Operations can be performed on Binomial Expression such as Addition , Subtraction , Multiplication and Division .
and The Equation that contains one or more binomial expression is called as a Binomial Equation.
The given question is incomplete , the complete question is
What is a Binomial Expression ?
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Jeremiah completed a straight, 120 km drive in 1.5 hours. At one point during the drive, he saw that his speedometer read 105 km/h. Which of the following statements are accurate?
His average velocity was 105 km/h.
His instantaneous velocity was always 105 km/h.
His instantaneous velocity was always 80 km/h.
At one point, his instantaneous velocity was 105 km/h.
His average velocity was 80 km/h.
Jeremiah average velocity during the drive was 80 km/h while the instantaneous velocity at one point was 105 km/h
What is an equation?An equation is used to show the relationship between numbers and variables.
Average velocity is the ratio of total distance travelled to total time taken. Instantaneous velocity is the velocity at a particular point in time.
Jeremiah completed a straight, 120 km drive in 1.5 hours, hence:
Average velocity = total distance / total time
Average velocity = 120 km / 1.5 hours = 80 km/h
At one point during the drive, he saw that his speedometer read 105 km/h, hence:
Instantaneous velocity = 105 km/h
The average velocity is 80 km/h while the instantaneous velocity is 105 km/h
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What is the relationship between xzw and wzv on a vertical angle?
The relationship between xzw and wzv on the vertical angle is as follows:
∠ xzw + ∠ wzv = 180
How to find the relationship between angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.
Therefore,
∠vzy ≅ ∠wzx(vertical angles)
Hence, the relationships between angles xzw and wzv is as follows:
∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)
3x + 17 + x - 9 = 180
4x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 / 4
x = 43
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Each square inch of your body has about 6. 5 × 10^2 pores. Suppose the top of your foot has an area of about 2. 0 × 10^1 in. ^2. About how many pores are on the top of your foot?
The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.
To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.
The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:
2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores
So, there are approximately 13,000 pores on the top of your foot.
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Chapter 3 Lesson 4 Arithmetic Sequence
Answer:
Step-by-step explanation:
1) 1,15,29,43,57,.....
here, 15-1 =14 and 29-15=14
therefore,it is an arithmetic sequence with common difference = 14
2) 3,6,9,15,17,....
here, 6-3=3, 9-6=3 , 15-9=6
therefore,it is not an arithmetic sequence.
3) 93,86,79,72,65,......
here, 86-93=-7 , 79-86=-7 and 72-79=-7
therefore,it is an arithmetic sequence with common difference = -7
4) 37,34,31,29,26,......
here, 34-37 = -3,31 - 34 = -3,29 - 31 =-2
therefore,it is not an arithmetic sequence.
The game starts at 1830. They play four eight minute quarters, and half-time lasts for thirty minutes. What time should you tell your parents to pick you up? Give your answer in both 12 and 24 hour clock notation
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
What is time?the idea that time was the fourth dimension and that space and time were therefore inseparably connected. According to his general theory of relativity (opens in new tab), the mass and momentum of adjacent matter influence how much space-time enlarges and compresses.
Here,
Given : The game starts at 18:30
Thus,
They play for eight minutes quarters and half time last for 30 minutes.
So,
To find the time to pick up by your parents:
=> 8*4 + 30
=> 32 + 30
=> 62
Thus time after 62 minutes is 7:32
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
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Jina is running. The number of minutes she has run varies directly with the number of calories she has burned. See the graph below.
How many calories is Jina burning per minute ?
What is the slope of the graph ?
The number of calories Jina is burning per minute is 0.1 and the slope is 0.1
How many calories is Jina burning per minute?From the question, we have the following parameters that can be used in our computation:
Points, (x, y) = (0, 0) and (150, 15)
The burning rate per minute can then be calculated as
Burning rate per minute = (y₂ - y₁)/(x₂ - x₁)
Substitute the known values in the above equation, so, we have the following representation
Burning rate per minute = (15 - 0)/(150 - 0)
Evaluate the quotient
Burning rate per minute = 0.1
What is the slope of the graph?In (a), we have
Burning rate per minute = 0.1
This rate is the same as the slope
Hence, the slope is 0.1
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Is Y =- 3 vertical or horizontal?
According to the following graph, y = -3 makes the horizontal line on graph.
The term graph in math is known as a pictorial representation or a diagram that represents data or values in an organized manner and the points on the graph often represent the relationship between two or more things.
Here we have given the expression y = -3.
Now, we have to plot these on the graph, then we get the graph like the following.
While looking into the given graph, we have identified that y = -3 is a horizontal line, and that passes through y-axis, here at a distance of 3 units on the bottom of the origin and is parallel to x-axis.
Therefore, the expression y = -3 makes the horizontal line which crosses the y -axis at (0,−3).
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