The price of crude oil in 3.24 ¢ /cup.
What is conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
When converting to an equal value, the suitable conversion factor must be used. To convert inches to feet, for example, the suitable converting value is 12 inches equal 1 foot.A conversion factor is a ratio (and any fraction) that depicts the connection between two distinct units.Some conversion factors are-
One gallon = 4 quarts;
4 cups = 1 quart
( ¢ =cents)
Now, as per the given question;
The crude oil was sold at $21.75 per barrel.
The volume of the barrel is 42 gallons.
Let 'P' be the total price of crude oil in ¢ /cup.
To determine the price in cents per cup, we must use the conversion factors:
Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4 quarts)×(1 quartz/ 4 cups).
Simplify the above equation;
Price per cup P = 3.24 ¢ /cup.
Therefore, the price of crude oil is 3.24 ¢ /cup.
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Find the equation of the line shown.
Answer:
The x is 2 and the y is 1. So, it's 1/2
Step-by-step explanation:
x = 2
y = 1
Slope goes y,x,
The perimeter of the quadrilateral below is 119 units. Find the length of side AB.
Answer:
Step-by-step explanation:
If the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400. how many books on average does each student have?
Each student on average has 6 books.
What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find how many books on average each student has:
To find the average, divide the total number of books by the total number of students.So, 14,400/2,400 = 6Therefore, each student on average has 6 books.
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What is 12 1/2% of 300
Answer:
37.5
Step-by-step explanation:
Answer: 37.5
Step-by-step explanation:
12.5% of 300=37.5
Find the value of x in the equation. 3/4 (8x-6) -2= 1/2-x
In linear equation, the value of x in the equation is 20/11.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.3/4 (8x-6) -2= 1/2-x
24x - 18 - 2/4 = x/2
24x - 20/4 = x/2
2(24x - 20) = 4x
48x - 40 = 4x
48x - 4x =40
44x = 40
x = 40/44
x = 20/11
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9(y^2+x)=18 in standard form
Answer:
9y^2 + 9x - 18 or 9(y^2 + x - 2)
Step-by-step explanation:
9(y^2+x)=18
9y^2 + 9x=18
9y^2 + 9x - 18 = 0
9(y^2 + x - 2) = 0
A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is?
A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.
What methods are employed in a qualitative forecast?
The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.
What are qualitative forecasting models, and when are they useful?
Qualitative forecasting techniques are based on the judgment and opinion of experts and consumers and are only appropriate in the absence of historical data. Market research, Delphi method, and informed opinion and judgment are a few examples of qualitative forecasting techniques.Learn more about qualitative forecasting
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9 times the sum of 9b and 2
Answer:
9(9b+2)
Step-by-step explanation:
The words 'the sum of mean parenthesis.
And so 9 would be outside the parenthesis, then 9b and 2 would be inside.
how any tablespoon of kernals per cup of popcorn
Answer:
2 Tablespoons make 4 cups. Popcorn pops to 40 times its original size. One ounce. 2 Tablespoons of kernels makes about 4 cups of popcorn. Four cups of popcorn have 125 calories :))
Authors note:
I really hoped this helped! :)))
Why is 3x1/10 less than 3x10 I need help ASAP
A the value of 1 ten is less than the value of 1 tenth
B the value of 1 tenth is less than the value of 3 tenths
C The value of 1 ten is less than the value of 3 tens
D The value of 1 tenth is less than the value of 1 ten
Answer:
The value of 1 tenth is less than the value of 1 ten
Step-by-step explanation:
1 tenth = 0.1
1 ten = 10
0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.
Help me figure out this piecewise question!! 60 points!
Check the picture below.
What are mathematical formulas placed in software that performs an analysis on a data set?
Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.
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HELP WITH EXPLANATION!!
Show that the function f(x) = x³ + 5/x. is even, odd, or neither.
Answer:
The function is odd.
Step-by-step explanation:
A function is always odd when f(−x) = −f(x). In this case, that rule applies.
[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]
The solution to a system of equations is (2,-4).one equation in the system is 2x+y=0.explain how you can find a second equation for the system.then find a second equation.solve by system of equations to justify your answer
The second equation is 3x + y = 2.
Let the other equation be of the form ax + by = c, where a, b and c are constants.
Given equation is 2x + y = 0
We have, a₁ = 2 and a₂ = 1
And b₁ = a and b₂ = b
Since, both equations have a unique solution,
∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂
2 ÷ a ≠ 1 ÷ b
2b ≠ a … (1)
Also, (2, -4) is the solution of the equations, so it will satisfy the equations
2a - 4b = c
b = (2a - c)/4
Let c=2
b = (2a - 2) ÷ 4
b = 1
Now we can take any value for a and b which satisfy eq.(1)
Let a=3
b = (2(3) - 2) ÷ 4
b = 1
Thus, a = 3 and b=1 satisfy eq.(1)
Hence the second equation is 3x + y = 2
The equations are justified by keeping the values -
2x+y=0 ... (2)
3x+y=2 ... (3)
From eq.(2),
y=-2x
Putting value of y in eq. (3), we get,
3x+(-2x)=2
3x-2x=2
x=2
Now, putting x=2 in eq.(2)
2(2)+y=0
y=-4
Hence, the solution is justified.
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Which situation could be represented by the equation-30 + 30=0 ?
Answer:30x0
Step-by-step explanation:
Find the sum of (8.6 x 106) and (3.7 x 105). Write the final answer in scientific notation.
8.97 x 105
8.97 x 106
1.23 x 1010
12.3 x 1011
Answer:
8.97 x [tex]10^{6}[/tex]
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])
(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])
(86 x 3.7) x [tex]10^{5}[/tex]
89.7 x[tex]10^{5}[/tex] Rewrite in scientific notation
8.97 x [tex]10^{6}[/tex]
Not sure how to go about this
Jacob has 298 baseball cards. About how many
baseball cards does Jacob have? Round to the
nearest 100.
Answer:
300
Step-by-step explanation:
5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down
Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?
The magnitude of the vector is 10√2 and the direction of the vector is 78.69°
Magnitude and the direction of the vectors:
A vector is a directed line segment with an initial point and a terminal point.
To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.
The formula for the magnitude of the vector is
|v|=√(a²+b²)
And the formula for the direction of the vector is,
θ=tan⁻¹(b/a)
where
(a, b) represents the given point.
Given,
Vector u,
Magnitude = 10 in
Direction angle = 45°
Vector v,
Magnitude = 10 in
Direction angle = 225°
Now we have to find the magnitude by apply the value on it,
=> |v|=√(10² + 10²)
=> |v|=√(100 + 100)
=> |v|=√200
=> |v|=√2 x 100
=> |v|=10√2
Similarly, the direction of the vector is,
=> θ = tan⁻¹ (225 / 45)
=> θ = tan⁻¹ (5)
=> θ = 78.69°
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How would you write 730,812 in word form?
Answer Seven hundred and thirty thousand eight hundred twelve
distribution consists of 30 scores of 10 and 30 scores of 20. Find the ratio of the range to the standard deviation.
How many 1/2's are there in 6?
Answer:
12
Step-by-step explanation:
There are 12 1/2's in 6.
To find how many 1/2's there are in 6, you have to divide 6 by 1/2.
6 ÷ 1/2
To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).
6/1 × 2/1
6 × 2
= 12
Have a lovely rest of your day! :)
The records of four baseball teams are shown below. Which team had the greatest percent of wins?
Rattlers won 95 and lost 65. Cobras Won 92 and lost 58. Boas Won 94 and lost 66. Pythons won 96 and lost 64.
the Boas
the Cobras
the Pythons
the Rattlers
Answer:
The Cobras
Step-by-step explanation:
I just took the test
Answer:the Cobras
Step-by-step explanation:
Write an expression to represent the product of -3 and the square of a number decreased by 8
Answer:
-3 X (x^2 - 8)
Step-by-step explanation:
put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.
anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".
Make sure the green line is on the mean value of x = 44. next, move the green line one standard deviation to the right. what z-score is associated with this value?
Z = 1.00, z-score is associated with this value.
Why is z-score important?
Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.What Is a Z-Score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.one std dev to the right
so, Z = 1.00
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The complete question is?
Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
Answer:
w = [tex]\frac{p -2l}{2}[/tex]
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
[tex]\frac{p -2l}{2}[/tex] = w
4. Calculate the area of the triangle.
20 mm
11 mm
What is the slope of the line?
1/2
-1/2
-2
2
Answer:
1/2
Step-by-step explanation:
How to solve 1000/11 via long divison… pls help with full working out
Need help now please Due today! Substitution: 1. (x+5)^2 -y ; x= -2 y=1 2. 3x+4y^2 ; x=-3 y=5
The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
Given the 2 equations,
1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
Equation 1
⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1
⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }
⇒[tex]3^{2}[/tex]-1
⇒9-1
⇒8
Equation 2
⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5
⇒3(-3)+4[tex](5)^{2}[/tex] {substituting x=-3 and y=5 }
⇒-9+4(25)
⇒-9+100
⇒91
Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.
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