Answer:
C. 904.32 cubic units
Step-by-step explanation:
the volume = π×r²×h
= 3.14 × 6²×8
= 3.14×288
= 904.32
A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =
Answer:
- 12/7|x-9.6|+12.8
Step-by-step explanation:
Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)
Step-by-step explanation:
\(f(x)=f(x-1)+f(x-3)\)
Substitute x=4,
\(f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2\)
Plz help me on this :))
Roman has 415 baseball cards. He gives away
three each day until he has 280 left. Write and
solve an equation to determine how many days
he gave away baseball cards.
Answer:
45
Step-by-step explanation:
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Describe the pattern.
1, 2, 3, 4, 10, 19, 36, 69, 134, 258, 497, ...
Answer: the front of the four numbers is always the total
Step-by-step explanation: like 258 + 134 + 69 + 36= 497
Zoe charges £9 per student to attend a dance class. There are y students in the class.
a . Write an expression for the total amount she charges for a class.
b. How much does she charge for 5 students?
c. How many students must she have in the class to make £72?
4. Automotive Trades At the beginning of the day on Monday, the parts
department has on hand 520 spark plugs. Mechanics in the service depart-
ment estimate they will need about 48 plugs per day. A new shipment of
300 will arrive on Thursday. Write out a mathematical statement that gives
the number of spark plugs on hand at the end of the day on Friday. Calcu-
late this total.
StS estimate
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
Describe the equation.Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.
Here,
Given: A new supply of 300 spark plugs will come on Thursday,
and 520 spark plugs require 48 plugs per day.
To determine an equation to determine however many plugs will just be left at the end of Friday:
So,
where n is the no of days
=> 520 - 48*n + 300
=> 520 - 48*5 + 300
=> 520 - 240 + 300
=> 520 + 60
=> 580
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
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Answer all the questions Question One a. Show the equations for calculating 1. Bulk Volume of a reservoir in ft 3 and barrels 2 . Pore Volume of a reservoir in ft 3 and barrel 3 . Hydrocarbon Pore Volume in ft 3 and in barrel.
The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.
The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:
1. Bulk Volume (VB):
In cubic feet (ft³):VB = A * hIn barrels (bbl):VB = (A * h) / 5.615Where:
VB = Bulk Volume
A = Cross-sectional area of the reservoir in square feet (ft²)
h = Thickness of the reservoir in feet (ft)
2. Pore Volume (VP):
In cubic feet (ft³):VP = φ * VBIn barrels (bbl):VP = (φ * VB) / 5.615Where:
VP = Pore Volume
φ = Porosity of the reservoir (dimensionless)
VB = Bulk Volume
3. Hydrocarbon Pore Volume (VHC):
In cubic feet (ft³):VHC = φ * S * VBIn barrels (bbl):VHC = (φ * S * VB) / 5.615Where:
VHC = Hydrocarbon Pore Volume
φ = Porosity of the reservoir (dimensionless)
S = Saturation of hydrocarbons in the reservoir (dimensionless)
VB = Bulk Volume
The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.
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find the rate of change of a circle diameter with respect to radius.
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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FIND THE ORIGINAL PRICE SAW.
4. Nick's parents paid $435 for an x-box gaming system. This was after the 20%
Game Stop Loyal Customer member discount How much is the game console to
customers who are not Loyal Customer members?
Answer: $87
Step-by-step explanation:
Karri earns extra money by making and selling necklaces and earrings.
She makes $2 every time she sells a necklace and $1 ever time she
sells a pair of earrings. She wants to make more than $20.00 per day
on her sales. How many necklaces and earrings would Kerri need to
sell to reach her goal of $20 per day?
Answer:
how do you have to answer it so i can give you the answer
Step-by-step explanation:
The Nearly Normal condition is met in one of either of two ways: the sample size is large or...
a.the population (and sample) distribution are already normal distribtuions.
b.we know the standard deviation of the population.
c.if the units we are measuring can only be positive (e.g. weights of chickens).
d.the two samples are independent.
The correct answer is b. we know the standard deviation of the population.
The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.
When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.
While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.
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Savannah is making pots and plates to sell at a local art fair. Each pot weighs 2 pounds and each plate weighs 1 pound. Savannah cannot carry more than 50 pounds to the fair. She only has enough clay to make 40 plates. In addition, she only has enough clay to make 24 pots. She will make $12 profit on every plate and $25 for every pot that she sells. How many pots and how many plates should Savannah make to maximize her profit?
Answer:
24 pots 2 plates
Step-by-step explanation:
Answer:
24 pots and 2 plates
Step-by-step explanation:
The sum of 110 and a number
is five times that number
minus 10. What is the
number?
Answer: Let the number = x
5x+10 = 120
Or, 5x = 120 - 10
Or, 5x = 110
Or, x = 110/5
Or, x = 2
Step-by-step explanation:
Reflex the arrow over the -y axis. I have pic below explanation for the problem?
In order to reflect a shape over the y-axis, we just have to change the sign of the x-coordinates of its points. In this case, we have an arrow with points A(2,1), B(2,3), C(1, 3), D(3,5), E(5, 3), F(4,3), and G(4, 1). By applying the reflection over the y-axis we get:
A(2,1) -> A'(-2,1)
B(2,3) -> B'(-2,3)
C(1,3) -> C'(-1,3)
D(3,5) ->D'(-3,5)
E(5,3) -> E'(-5, 3)
F(4,3) -> F'(-4,3)
G(4,1) -> G'(-4, 1)
Then, by reflecting the arrow we should get:
Jeremy ran 10 laps on a track that was 1/8 mile long. Jimmy ran 8 laps on a track that was 1/4 mile long.
Who ran more miles, Jeremy or Jimmy?
If you can please do the RDW (Read draw write)
Answer:
Jeremy ran about 1.2 miles and jimmy ran 2 miles so jimmy ran more miles
Explanation:
If Jeremy ran 10 laps on a 1/8 mile long track, he ran about 1.25 miles in total
(10*1/8)
If Jimmy ran 8 laps on a 1/4 mile long track, he ran 2 miles in total.
(8*1/4)
Write the equation of the line that passes through the points (5,0) and (-6, -1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in point-slope form is: \(\mathbf{y=\frac{1}{11}x-\frac{5}{11} }\)
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: \(\mathbf{y-y_1=m(x-x_1)}\)
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)
We have \(x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1\)
Putting values and finding slope
\(Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}\)
So , slope m is: \(\mathbf{m=\frac{1}{11}}\)
Using point (5,0) and slope m =1/22 the equation of point-slope form is:
\(y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}\)
So, the equation in point-slope form is: \(\mathbf{y=\frac{1}{11}x-\frac{5}{11} }\)
Which expression is equivalent to 3(v + 8)? (3 + v)8 8(v + 3), (v + 8)3, or 11v
Answer:
the answer is (v+8)3
(my answer needs to be longer so I'm writing this)
find the value of c that completes the square
x^2-6x+c
please help me with the math problem and show me how to do these kinds.
Thank you.
Answer:
The answer is 9
Step-by-step explanation:
for the equation:
move the -6x
x^2 + c - 6x
To find c :
c = (b/2)^2
this means you have to divide the coefficient of x by 2 then square the result
If you dont understand I put a picture of all the steps
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Heeeelp please I'm desperate
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
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Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75
_______Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
Answer:
40 + 2x ≥ 75
Step-by-step explanation:
X equals 18 or above. This means that in order to meet her goal of $75 dollars, Charlotte needs to schedule at least 18 appointments.
Answer:
A=
2x+40=75
B=
Charlotte would have to schedule 18 appointments.
First you have to subtract 40 from 75 which equals 35
Second you divide 35 by 2 which equals 17.5
Since Charlotte can't schedule 17 1/2 appointments so you round up to 18
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form
Answer:
Y = 3x - 1
Step-by-step explanation:
Sorry it’s late but hope this helps. Pls give brainliest.
research that provides data which can be expressed with numbers is called
Research that provides data which can be expressed with numbers is called quantitative research.
Quantitative research is a type of research that focuses on gathering and analyzing numerical data. It involves collecting information or data that can be measured and quantified, such as numerical values, statistics, or counts. This research method aims to objectively study and understand phenomena by using mathematical and statistical techniques to analyze the data.
Quantitative research typically involves the use of structured surveys, experiments, observations, or existing data sources to gather information. Researchers often employ statistical methods to analyze the data and draw conclusions or make predictions based on the numerical findings.
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Aluminum cans can be recycled instead of being thrown in the garbage. The weight of 10 aluminum cans is 0.16 kilograms. The aluminum in 10 cans that are recycled has a value of $0.14.
If a family threw away 2.4 kg of aluminum in a month, how many cans did they throw away? Explain or show your reasoning.
What would be the recycled value of those same cans? Explain or show your reasoning.
Write an equation to represent the number of cans given their weight .
Write an equation to represent the recycled value of cans.
Write an equation to represent the recycled value of kilograms of aluminum.
If a family threw away 2.4 kg of aluminum in a month and each aluminum can weighs 0.016 kg, they would have thrown away 150 cans. The recycled value of those cans would be $0.21.
To determine the number of cans the family threw away, we divide the total weight of aluminum (2.4 kg) by the weight of 10 cans (0.16 kg). This gives us (2.4 kg) / (0.16 kg) = 15 sets of 10 cans, which equals 150 cans in total.
The recycled value of those cans can be calculated by multiplying the number of cans (150) by the value of each can ($0.14). Therefore, the recycled value would be (150 cans) * ($0.14/can) = $21.
To represent the number of cans given their weight, we can use the equation:
Number of cans = (Weight of aluminum)/(Weight of 10 cans)
In this case, the equation would be:
Number of cans = 2.4 kg / 0.16 kg = 15 sets of 10 cans = 150 cans
To represent the recycled value of cans, we can use the equation:
Recycled value = (Number of cans) * (Value of each can)
In this case, the equation would be:
Recycled value = 150 cans * $0.14/can = $21
To represent the recycled value of kilograms of aluminum, we can use the equation:
Recycled value = (Weight of aluminum) * (Value of each kilogram)
In this case, the equation would be:
Recycled value = 2.4 kg * $0.14/kg = $0.336
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The family threw away 150 cans in a month, and the recycled value of these cans would have been $2.1. Equations representing these facts relate the number of cans to their weight, the number of cans to their value, and the weight of aluminum to its value.
Explanation:The weight of 10 aluminum cans is 0.16 kg, so the weight of one can is 0.16 / 10 = 0.016 kg.
If a family threw away 2.4 kg of aluminum in a month, they threw away 2.4 / 0.016 = 150 cans.
The recycled value of 10 cans is $0.14, so the value of one can is $0.14 / 10 = $0.014. Hence, the recycled value of the 150 cans they threw away would be 150 * $0.014 = $2.1.
To represent these relationships algebraically:
The number of cans (c) given their weight in kilograms (w) is represented by the equation: c = w / 0.016. The recycled value of cans (v) is represented by the equation: v = c * 0.014. The recycled value of kilograms of aluminum (v) is represented by the equation: v = w * 0.0875 (since $0.14 for 0.16 kg translates to $0.875 per kg). Learn more about Recycling Aluminum
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Paula has buttons. she gives away 28 buttons. choose the expression that shows the number of buttons paula has left.
Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.
Solve the quadratic equation by using the quadratic formula 3x^2x-3=0
Answer:
The answer is on the attached file, i did it on another uncopy pastable document
Step-by-step explanation:
Graph the system of equations on the grid below and then mark ther point of intersex (Point C)
Y=3x+3
Y=x+5
Answer:
Step-by-step explanation:
do your best job
Point of intersection of equations is (1 , 6)
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Given equations
y = 3x + 3 ---------(1)
y = x + 5 ---------(2)
Subtracting equation 2 from equation 1.
y - y = 3x + 3 - (x + 5)
0 = 3x + 3 - x - 5
0 = 2x - 2
x = 1
Putting value of x in equation 2
y = 1 + 5
y = 6
Intersection point,
(x , y) = (1 , 6)
Hence, (1 , 6) is the point of intersection of given equations.
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Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
14 + 28 + 42 + 56 + … 280
= 14 (1 + 2 + 3 + 4 + … + 20)
= 14 × 20 × 21 / 2
= 2940
where we use the well-known identity,
\(\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2\)