One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
What is mole?A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.
The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
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which answer is this
A.43
B.38
C.61
D.81
Answer:
81
Step-by-step explanation:
by corresponding angles from angle ABC
A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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Which right prism would have the same volume as a square prism with a base area of 36 m² and a height of 3 m?
The rectangular prism in figure 2 has the same volume of 108 m².
Given that the square prism's measurements are as follows:
area = 36 m²
h = 3 m
As a result, the volume of this prism is equal to side² h = area h = 36 3 = 108 m2.
Now, we'll figure out how much each prism in the image is worth.
1) Because it is a right-angled tent or prism, the volume calculation will be
V = 1/2 (base length base width) Height
= 1/2×(3×2×6) = 36/2 = 18 m²
2. Volume of a rectangular prism is equal to length, width, and height, which is 2 18 3 = 108 m2.
3. A tent's or prism's volume is equal to half of its base's length, width, and height
= 1/2×4×9×3 = 1/2×108 = 54 m²
Consequently, the rectangular prism in figure 2 has the same volume of 108 m2.
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√≈≈≈≈≈Which of the following is a one-to-one function? y = [[2x]], y = x^2, f(x) = { 4x + 1;x < -2
The one-to-one function is obtained as f(x) = 4x + 1 which is a linear function.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
A function can either have one-to-one or many-to-one mapping.
One-to-one mapping implies unique element in the domain for each element in the range while for many-to-one mapping there are many elements in the domain for one element in the range.
The given functions are y = [2x] , y = x² and f(x) = 4x + 1 respectively.
They can be examined one by one as follows,
(a) y = [2x]
It is a greatest integer function.
At x = 1.1, y = [2 × 1.1] = [2.2] = 2
And, for x = 1.2, y = [2 × 1.2] = [2.4] = 2
It implies for different values of x, the function has same value.
Thus, it is not one-to-one function.
(b) y = x²
Find values of the function at two different x as,
x = -2, f(x) = (-2)² = 4
And, for x = 2, f(x) = 2² = 4.
It implies for different values of x, the function has same value.
Thus, it is not one-to-one function.
(c) f(x) = 4x + 1
It is a equation of a straight line.
Which implies it has different values for different values of x.
Thus, it is a one-to-one function.
Hence, out of the given functions only f(x) = 4x + 1 is one-to-one.
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PLEASE HELP ME I DONT UNDERSTAND GIVING 100 POINTS
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year
Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
(e) y - 15= 3/4(x-15)
Is this equation okay to use for the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrectly?
Creat two new equations written in point slope form
Answer:
(e) is the incorrect equationy -9 = 3/4(x -8)y -15 = 3/4(x -16)Step-by-step explanation:
Given a tree is 3 ft tall when planted and grows at 3/4 ft per year, you want to identify the point-slope equation that does NOT fit this description, and you want two (2) more point-slope equations that DO fit this description.
Point-slope equationThe point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
PointsThe point representing the initial height of the tree is (x, y) = (years, feet) = (0, 3). If the rate of growth is 3/4 ft per year, then the equation can be written ...
y -3 = 3/4(x -0) . . . . . . . . . matches choice (a)
All of the given equations have m = 3/4, so to find the incorrect equation, we need to find the point that is not on the line described by the above equation. We can do this by identifying the point (h, k) in each equation.
The attachment shows the point values used in each of the other equations (b) through (e). We find they all fall on the line except the point (15, 15) used in equation (e).
The incorrect equation is equation (e) y -15 = 3/4(x -15).
Additional equationsWe can write additional equations by finding additional points that are on the line. For the purpose, it is convenient to choose x-values that are multiples of 4. Already, equations use x = 0, 4, 12, 15. We can choose x=8 and x=16 for the equations we write. The graph shows the corresponding y-values are 9 and 15, respectively. Then two additional equations could be ...
y -9 = 3/4(x -8)
y -15 = 3/4(x -16)
__
Additional comment
There are several ways to find the equation that doesn't belong. Another way, apart from plotting the points on a graph, is to rewrite each equation into the same form. Slope-intercept form is fairly convenient for this.
(a) y -3 = 3/4(x -0) ⇒ y = 3/4x +3
(d) y -12 = 3/4(x -12) ⇒ y = 3/4x -9 +12 = 3/4x +3
(e) y -15 = 3/4(x -15) ⇒ y = 3/4x -11.25 +15 = 3/4x +3.75 (incorrect)
You can see that 3/4x (and y) will be an integer only if x is a multiple of 4. We like integers, so it is convenient to choose x as a multiple of 4.
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Problem 2
Use each of the numbers 4, 40, and 4000 once to make true statements.
The correct numbers to complete the statements given are 40, 400, and 4000.
What does this question require you to do?This question requires you to complete a statement with a given number (40, 400 or 4000) to make the statement true by dividing the number by 40.1. To find the correct order the numbers must be place using division, let's find out the results of each of these divisions:
40 / 40.1 = 0.997400 / 40.1 = 9.974000 / 40.1 = 99.7Based on the above, it can be concluded:
40 / 40.1 = is much less than 1400 / 40.1 = is close to 14000 / 40.1 = is much greater than 1Based on this, the complete statements are:
The value of 400 ÷40.01 is close to 1The value of 40 ÷40.01 is much less than 1.The value of 4000÷40.01 is much greater than 1.Note: This question is incomplete; here is the complete question:
Use each of the numbers 4, 40, and 4000 once to make true statements.The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is close to 1
The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is much less than 1.
The value of ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯÷40.01 is much greater than 1.
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In case you don't see the picture:
What is the decimal form of form of -1 1/12
A. -1.083 (bar notation on 3) THE CORRECT ONE.
B -1-083 (barnotation on 83)
C -1-083 (bar notation on 083
D -1-083
Greg chose C as the correct answer. How might he have gotten that answer. !!!!!!!!!!!!!!!!
HELP ME PLEASEEEE! WHY DID GREG CHOOSE THATT.
The decimal form of the -1 1/12 is obtained by finding the sum of -1 and -1/12 (-1/12 = -0.08[tex]\overline{3}[/tex] a recurring decimal), which is the option A
A. -1.08[tex]\overline{3}[/tex]
What is a recurring decimal?A recurring decimal is a decimal that has a digit or a group of digits that is continuously repeated in the decimal.
The specified expression, -1 1/12, can be presented as follows;
[tex]-1\dfrac{1}{12}[/tex]
The value of the specified expression in decimal form is therefore;
[tex]-1\dfrac{1}{12}= -1+\left( - \dfrac{1}{12}\right)[/tex]
[tex]- \dfrac{1}{12} = -0.08\overline{3}[/tex]
The fraction -1/12, therefore consist of a recurring decimal, with the 3 in the thousandth place after the 8 being the part that repeats.
Therefore, the value of the expression, [tex]-1+\left( - \dfrac{1}{12}\right)[/tex] is -1 + (-0.08[tex]\overline{3}[/tex])
-1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The specified expression is therefore;
[tex]-1\dfrac{1}{12}[/tex] = -1 + (-0.08[tex]\overline{3}[/tex]) = -1.08[tex]\overline{3}[/tex]
The correct option is option A
A. -1.08[tex]\overline{3}[/tex]The option C. -1.[tex]\overline{083}[/tex] is incorrect, the correct option is option A
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A ball is thrown upward and its height after seconds can be described by formula 5.6. Find the maximum height the ball will reach.
The maximum height reached by the ball is 20 units at 1.2 unit time.
What is Maxima and Minima ?The extrema of a function are the maxima and minima. The highest and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, throughout its full range.
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.
The equation is given as
h = [tex]-10t\x^{2} + 24t + 5.6[/tex]
Differentiating both side with respect to t we get
[tex]\frac{dh}{dt} = -20t + 24[/tex]
To reach maximum value [tex]\frac{dh}{dt} = 0[/tex]
⇒20t = 24
⇒ t = 1.2
So the maximum height reached = [tex]-10 *(1.2)\x^{2} + 24*1.2 + 5.6 = 20[/tex]
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The lateral urface area of cone A i equal to the lateral urface area of cylinder b
A statement 'The lateral surface area of cone A is exactly equal to the lateral surface area of cylinder B.' is True.
We know that the formula for the lateral surface area of cone:
Area = π × radius × slant height
and the formula for the lateral surface area of cylinder:
Area = 2π × (radius) × (height)
Here we have been given a cone A with radius r and slant height 2h.
Using the above formula, the lateral surface area of cone A would be:
A1 = π × r × 2h
A1 = 2π × r × h ..................(1)
Also, we have been given a cylinder B with radius r and height h.
Using the above formula, the lateral surface area of cylinder A would be:
A2 = 2π × r × h ..............(2)
From (1) and (2) we can observe that,
A1 = A2
Therefore, the lateral surface area of cone A is exactly equal to the lateral surface area of cylinder B.
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The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.
Properties of 9-divisible numbersA number is itself divisible by nine if the total of its digits is also nine digits.
Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine.
By utilizing the aforementioned attribute, we can
3 + A +A +1 = 9, OR 18, OR 27
4 + 2A = 9, OR 18, OR 27
using 18
2A = 18 - 4
2A = 14
A = 7
therefore we can say that the number is 3771
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What must be added to the polynomial 2x³ 3x² 8x so that it leaves a remainder 10 when divided by 2x 1?
To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.
What is polynomial?A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.
Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.
This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.
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What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?
The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4
The expression is 3x²
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x² is 3
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x² is 3.
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Which of the following calculations could be used to find the value of x? xº 18ft 7ft
A. sin‐1 7/18
B. sin-1 18/7
C. cos-1 7/18
D. cos-1 18/7
(need this by today)
Using trigonometric ratios, the value of x is as follows:
x = sin⁻¹ 7 / 18How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the angle of a right angle triangle can be found using trigonometric ratios as follows:
Hence, let's find angle x
Therefore,
sin x = opposite / hypotenuse
opposite side = 7 ft
hypotenuse side = 18 ft
Hence,
sin x = 7 / 18
x = sin⁻¹ 7 / 18
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The points (p, 6) and (4, 7) fall on a line with a slope of 1/9. What is the value of p?
Please find the missing coordinate using slope.
Step-by-step explanation:
(7 - 6)/(4 - p)= 1/9
4 - p = 9
-p= 5
p = -5
A certain library charges a late fee of $0.05 for each day that a book is
late. Last month, 158 people returned books that were 7 days late.
This month, 40 less people than last month will return books that are 7
days late. How much will the library collect in late fees this month for
returned books that are overdue by 7 days?
Answer: $41.3
Step-by-step explanation:
this month late = 158 - 40 = 118
7× $0.05 = $0.35
118 × $0.35 = $41.3
Luciana is adding water to a pool at a constant rate. Before she added any water the pool had 12. 000 gallons of water Luciana is adding 9 gallons of water each minuto Which equation roprosents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes? A m = Dw+ 12,000 B W = m + 12. 000 С W = 12,000m + 9 D W = 12. 000 - 9m
The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
What is a linear equation?
A linear equation is an equation that can be written in the form of
y = mx + b
Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.
Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.
Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
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The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
Option (D) is correct.
What is a linear equation?
A linear equation is an equation that can be written in the form of
y = mx + b
Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.
Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.
Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
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what is the magnitude of the net electric field at point p due to the particles?
The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as
let us assume that , The charges of the four particles and the distance are given then on understanding the concept of electric field at electrostatics concept. on using the concept of the electric field at any given point, then production of individual electric field by a charge. and we known the concept of superposition law, on applying the law we get the value of the electric field in its direction and this shows the determination of the net electric field at that point.
The magnitude of the electric field,
E = q * R
where R = The distance of field at point from the charge, and q = charge of the individual particle
According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field we get the origin of the coordinate system which is placed at point P and the y-axis is situated and oriented in the direction of the charge, (passing through the charge, ). The x-axis which is perpendicular to the y axis, and thus passes through the identical charges, then the individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which being positive i.e ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as E= 0
hence the net electric field is zero .
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How many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position
On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
so, we apply permutation
P(12,4) = 12!/ 8! = 11880
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4. The graph shows a nonlinear function.
4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?
4b. What is the difference in outputs of the two functions at x = 0? Explain.
4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.
4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.
Answer:
A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input and the output of a linear function.
Step-by-step explanation:
pls mark as brainliest
Help me
Please help me with both issues
Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards
What is MultiplicationMultiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.
In this problem, we will need to use of some mathematical operators to solve the problem
1.
He currently has 216 cards, but he needs 15 sets of cards.
1 set of card = 72 cards
Let's calculate the number of sets he currently has.
1 set of card = 72 cards
x set = 216 cards
cross multiply both sides and solve for x.
x * 72 = 216 * 1
x = 216 / 72
x = 3 sets
He currently has 3 sets of cards.
Since he wants 15 sets of cards, we will need 12 more set of cards.
The number of cards can be calculated by multiplying 12 by 72
Number of cards = 12 * 72 = 864
He needs 864 more cards.
2.
1 set of card = $27
1 set = 72 cards
But she's bringing $9 to join, we can calculate the ratio of cards she will get.
1 / 27 = x / 9
x = 9 / 27
x = 1/3
She will get 1/3 of the cards bought which will be
72 * 1/3 = 24 cards
She will get 24 cards
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A glass fish tank in the shape of a rectangular prism has a bace that measures 22 inches by 12 inches. Find the surface area if the height = 15 inches
Answer:
Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)
Surface Area = 660 + 360 + 528
Surface Area = 1,548 inches²
Step-by-step explanation:
Help please
Work out
A) 4/5 of 30
B) 2/9 x 45
C) 24 x 1/6
Answer:
A) 24
B) 10
C) 4
Step-by-step explanation:
i multiplied for each question
What’s the equation to find angles in a parallelogram
Solve the Linear system by using substitution.
y= -3x -1
4x+3y=2
The solution for the given system of equations is (-1, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of linear equations are y=-3x-1 ------(I) and 4x+3y=2 ------(II).
Substitute y=-3x-1 in equation (II), we get
4x+3(-3x-1)=2
4x-9x-3=2
-5x=5
x=-1
Substitute x=-1 in equation (I), we get
y=-3(-1)-1
y=2
Therefore, the solution for the given system of equations is (-1, 2).
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Three vertices of parallelogram ABCD are A(-3,1), B(5, 7) and C(6, 2). Find the coordinates of vertex D
The coordinates of vertex D in the parallelogram ABCD are (7,-3).
What is the relation of vertex in a parallelogram?In a parallelogram, opposite sides are parallel and congruent. Therefore, the vector that goes from vertex A to vertex B is the same as the vector that goes from vertex C to vertex D, and the vector that goes from vertex B to vertex C is the same as the vector that goes from vertex D to vertex A.
The vector from vertex A to vertex B is [tex]< 5-(-3), 7-1 > = < 8,6 >[/tex]
So, the vector from vertex C to vertex D is also [tex]< 8,6 >[/tex]
The vector from vertex B to vertex C is [tex]< 6-5, 2-7 > = < 1,-5 >[/tex]
So, the vector from vertex D to vertex A is also [tex]< 1,-5 >[/tex]
To find the coordinates of vertex D, we can add the vector from vertex C to vertex D to the coordinates of vertex C.
The coordinates of vertex C are (6, 2)
So, the coordinates of vertex D are [tex](6+1, 2-5) = (7, -3)[/tex]
Therefore, the coordinates of vertex D in the parallelogram ABCD are (7,-3).
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Brittany practices hitting softballs for 2/3 of an hour each day for three days.For how many hours does she practice hitting softballs?
Step-by-step explanation:
2/3 hours every day for 3 days.
so, for the total hours we need to multiply 2/3 by 3 (3 times 2/3 hours) :
3 × 2/3 = 2 hours
you can get there directly by saying that the factor of 3 and the denominator of 3 are canceling each other out. what is left is 2 in the numerator.
or you can do the full calculation and say
3 × 2/3 = 3×2/3 = 6/3 = 2
A drum of oil has a height of 4 feet and a radius of 1.2 feet. The oil cost $22 per cubic feet. What is the cost to fill the drum of oil
The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.
What is cubic feet?An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.
The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.
Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.
We have to calculate the cost to fill the drum with oil.
Since formula to get the volume of the drum is V = πr²h
V = 3.14×(1.2)²×4 = 18.09 feet³
Now the cost of oil to fill the drum will be
Cost = Volume × cost = 18.09×22 = $397.90
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subtract x2+2x+1-(x-3)
Answer:
(x to the second power)+x+4
Step-by-step explanation:
Ur welcome
betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
Witch ones do I select
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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