270cm3
Step-by-step explanation:
V=18 × 3 × 5
=18 × 3
=54
=54 × 5
=270cm3
Answer:
270cm3
Step-by-step explanation:
V=18 × 3 × 5
=18 × 3
=54
=54 × 5
=270cm3
hi
what is 9257289357218q4918 x 5823829.94325892580254
Answer:
ridiculous
Step-by-step explanation:
tssssk *extra characters*
Answer:
53912878951978360832q4918
Step-by-step explanation:
9257289357218q4918(5823829.943259)
=53912878951978360832q4918
the rectangular coordinates of a point are s2, 2, 21d. find the cylindrical and spherical coordinates of the point
The cylindrical and spherical coordinates of the point are (\(\sqrt{8}\),0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Rectangular coordinates of a point is written like (x, y, z)
Cylindrical coordinates of a point is written like (r, θ, z)
Spherical coordinates of a point is written like (p, θ, φ)
First talk about Rectangular vs Cylindrical.
x = rcosθ
y = rsinθ.
z = z
x^2 + y^2 = r^2
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
r^2 = 4+4 = 8.
r = \(\sqrt{8}\)
r = 2\(\sqrt{2}\)
θ = \(tan \inv-1\)(y/x) = \(tan \inv-1\)(2/2) = \(tan -1\)(1) = 45° = 0.78rad .
z = -1.
So Cylindrical coordinates is (r,θ,z) = (\(\sqrt{8}\),0.78,-1).
Now let's us talk about Rectangular vs Spherical Coordinates.
x = pcosθsinφ.
y= psinθsinφ.
z = pcosφ.
p^2 = x^2+y^2+z^2.
tanθ = y/x
cosφ = z/p = z/\(\sqrt{x^2+y^2+z^2}\).
given rectangular coordinates as (2,2,-1)
x=2, y=2, z=-1.
p = \(\sqrt{x^2+y^2+z^2}\) = \(\sqrt{2^2+2^2+(-1)^2}\) = \(\sqrt{9}\) = 3
θ = \(tan -1\)(y/x) = 0.78rad .
φ = \(cos -1\)(z/p) = \(cos -1\)(-1/3) = 1.91rad
So Spherical coordinates is (3, 0.78rad, 1.91rad).
The cylindrical and spherical coordinates of the point are (\(\sqrt{8}\),0.78,-1),(3, 0.78rad, 1.91rad) respectively.
Given Question is incomplete, Complete Question here
The Rectangular Coordinates Of A Point Are (2,2,-1) Find The Cylindrical And Spherical Coordinates Of the Point,
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Determine the equation of a straight line passing through (-1,3) and parallel to the line whose equation is 3x-5y=10.
Answer:
y = (3/5)x+3.6
Step-by-step explanation:
Let's look for an equation of the standard form: y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is 0). Parallel lines have the same slope, m. Next, rearrange the reference line to standard format:
3x-5y=10
-5y = -3x + 10
y = (3/5)x + 2
Now we can easily find the slope. The slope of the reference line is (3/5). That will also be the slope of the parallel line, so we can write:
y = (3/5)x + b
We need a value of b that will shift the line so that it touches point (-1,3) . ["passes through"]. Enter that point into the above equation and solve for b:
y = (3/5)x + b
(3) = (3/5)*(-1) + b for point (-1,3)
3 = -(3/5) + b
-(3/5) = 3-b
-b = -3 - (3/5)
b = 3+(3/5)
b = (18/5), or 3.6
The equation becomes y = (3/5)x+3.6
See the attached graph.
[Parallel lines have a lot in common. Too bad they'll never meet.]
please help with this math question
a. The mistake which Hannah made is ignoring the negative sign before 9 while adding 9 and 5 together.
b. The correct answer is x - 4.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Finally, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
3x + 5 - 2x - 9
By rearranging and collecting like terms, we have the following:
3x + 5 - 2x - 9 = 3x - 2x - 9 + 5
3x + 5 - 2x - 9 = x - 4
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Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
(1 point) find the volume of the region between the graph of f(x,y)=25−x2−y2 and the xyplane
The volume of the region between the graph of f(x, y) = 25 - x^2 - y^2 and the xy-plane is (500π/3) cubic units.
To find the volume of the region between the graph of the function f(x, y) = 25 - x^2 - y^2 and the xy-plane, we need to set up a double integral over the region of interest.
The region of interest is defined by the inequalities: z ≥ 0, x^2 + y^2 ≤ 25.
We can set up the double integral as follows:
V = ∬R f(x, y) dA
Where R represents the region in the xy-plane defined by x^2 + y^2 ≤ 25, and dA is the differential area element.
Converting to polar coordinates, x = rcosθ and y = rsinθ, and the region R can be defined as 0 ≤ r ≤ 5 and 0 ≤ θ ≤ 2π.
The integral can then be expressed as:
V = ∫₀²π ∫₀⁵ (25 - r^2) r dr dθ
Evaluating this double integral, we get:
V = ∫₀²π [(25r - r^3/3)] from r = 0 to r = 5 dθ
V = ∫₀²π [(25*5 - 5^3/3) - (0)] dθ
V = ∫₀²π [(125 - 125/3)] dθ
V = ∫₀²π [(250/3)] dθ
V = (250/3) * θ from θ = 0 to θ = 2π
V = (250/3) * (2π - 0)
V = (500π/3)
Therefore, the volume of the region between the graph of f(x, y) = 25 - x^2 - y^2 and the xy-plane is (500π/3) cubic units.
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: Factorize: 4x4 + y4
Answer:
4 ( x ) + ( y )
Step-by-step explanation:
.........
hmm yeah
Answer:
4*(4 + y)
Step-by-step explanation:
4*4 + 4y
16 + 4y
highest common factor is 4
4*(4+y)
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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10. Mrs. Hammonds made a deposit of $100 into her checking
account. Then she wrote checks for $97.54 and $48.27. If her
previous balance was $320.39, what is her new balance?
Previously available balance = $320.39
Deposit made by Mrs. Hammonds = $100
Cheques used for withdrawal,
$97.54
$48.27
The new balance = $320.39 + $100 - $97.54 - $48.27
= 420.39 - 145.81
= 274.58
So, the new balance in her account is $274.58.
What is Withdrawal?According to accounting terminology, a company withdrawal is the removal of funds, but not to compensate the owner as in an owner's draw. A withdrawal can be made for many different purposes, such as paying an employee back for a company expense or covering a cash-intensive business expense like entertaining a significant client at a sporting event. A withdrawal can also refer to the departure of money from an employer-sponsored retirement plan, like a 401k. Additionally, some businesses have a petty cash fund set up for various modest charges; certain incidental expenses may also be paid out of this account. An owner's draw or accounting drawing is not taxed in the traditional sense.To learn more about Withdrawal, refer to:
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A bicycle repair shop offers two service packages to its customers: a tune up or a complete overhaul, which includes the tune up plus some additional services. All bicycles go through wheel balancing before leaving the shop. The repair shop is open 60 hours per week and receives an average of 180 bicycles each week. The shop employs three "tune up" technicians, one "additional services" technician, and two wheel balancing" specialists. Past data indicates that 25% of customers opt for the "additional services" option. Wheel Tune Up Balancing T = 75 T= 20 minutes minutes Additional Services T = 72 minutes a) Create a demand matrix for this process b) What will be the daily capacity at each stage of the process? c) Find the implied utilizations for each stage of the process. d) What will be the weekly capacity of the process? e) Is the flow rate of this process capacity-constrained or demand-constrained?
A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.
The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.
a) Creating the Demand Matrix:
To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.
Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:
Demand for tune-up (T) = Total demand - Demand for additional services
T = 180 - (0.25 * 180)
T = 180 - 45
T = 135
Demand for additional services (A) = 0.25 * Total demand
A = 0.25 * 180
A = 45
Now, we can create a demand matrix based on the demand for each service option:
Demand Matrix:
Tune-up Additional Services Wheel Balancing
Tune-up [135 0 0]
Additional [0 45 0]
Services
Total [ 135 45 0 ]
The demand matrix shows the number of bicycles flowing through each stage of the process.
b) Daily Capacity at Each Stage:
To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:
Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes
Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes
Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes
Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))
Substituting the given values:
C = (60 * 60) / (75 + 72 + 20)
C = 21600 / 167
C ≈ 129.34 bicycles per day
Therefore, the daily capacity at each stage of the process is as follows:
Tune-up: 129 bicycles per day
Additional Services: 129 bicycles per day
Wheel Balancing: 129 bicycles per day
c) Implied Utilizations:
To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.
Implied Utilization (U) = Demand / Daily Capacity
For the Tune-up stage:
\(U_{tuneup}\) = 135 / 129 ≈ 1.05
For the Additional Services stage:
\(U_{additional}\) = 45 / 129 ≈ 0.35
For the Wheel Balancing stage:
\(U_{balancing}\) = 0 / 129 = 0
The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.
d) Weekly Capacity of the Process:
To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:
Weekly Capacity = Daily Capacity * Number of days shop is open per week
Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:
Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days
Therefore, the weekly capacity of the process is:
Weekly Capacity = Daily Capacity * Number of days shop is open per week
Weekly Capacity = 129 bicycles per day * 2.5 days
Weekly Capacity = 322.5 bicycles per week
e) Flow Rate and Constraint Analysis:
To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.
Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week
Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week
Comparing the demands with the weekly capacity:
\(T_{demand}\) < Weekly Capacity (135 < 322.5)
\(A_{demand}\) < Weekly Capacity (45 < 322.5)
Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.
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Which of the following are not polynomials?
Please help asap! 100 points
A,C and D
Step-by-step explanation:
Option A,C and D are not polynomials.
Step-by-step explanation:
Polynomial functions are given by
p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ
Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.
Option A
Here one exponent of x is -2, so this is not a polynomial function.
Option B
Here all the exponents are non negative integer, so this is a polynomial.
Option C
Here one exponent of x is 0.5, so this is not a polynomial function.
Option D
p(x)= x⁻²+x+1
Here one exponent of x is -2, so this is not a polynomial function.
Option E
Here all the exponents are non negative integer, so this is a polynomial.
Option A,C and D are not polynomials.
Answer:
A
D
Step-by-step explanation:
I believe those are correct however im not that good at this soooooo.
Good luck
I need help friends! Pls, help me I will review it once you answered :)
if $x$ is an element of the set $\{ -1, 1, 2 \}$ and $y$ is an element of $\{ -2, -1, 0, 1, 2 \}$, how many distinct values of $x^y$ are positive?
If \($x$\) is an element of the set \($\{ -1, 1, 2 \}$\) and \($y$\) is an element of \($\{ -2, -1, 0, 1, 2 \}$\), the number of distinct values of \($x^y$\) that are positive is 5.
When the base is positive, the exponent produces positive powers.
Now, let's evaluate the power for each possible combination of \($x$\) and \($y$\):
For \($x = -1$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($(-1)^{-2} = 1$\) and \($(-1)^{0} = 1$\).
For \($x = 1$\) and any value of \($y$\), the power of \($x$\) is always positive, and the value of \($x$\) is always 1. Therefore, there's only one possible combination: \($1^y = 1$\).
For \($x = 2$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($2^{-2} = 1/4$\) and \($2^{0} = 1$\)
For \($x = 2$\) and \($y$\) being an odd number, we get a negative power. Here are the possible odd values for \($y$\):
\($y = -1$\) and \($y = 1$\). Therefore, \($x^y$\) is positive for zero possible combinations.
Therefore, the total number of distinct values of \($x^y$\) that are positive is \($2+1+2 = 5$\).
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An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?
Please explain thoroughly how to get the answer. 15 points
Answer:
Check explanation
Step-by-step explanation:
Let
x = original price
Percentage increase in price = 17%
New price = original price + Percentage increase in price
= x + 17% of x
= x + 0.17 * x
= x + 0.17x
= 1.17x
Shipping cost = $3
Total cost = $43
Total cost = New price + Shipping cost
43 = 1.17x + 3
43 - 3 = 1.17x
40 = 1.17x
x = 40 / 1.17
x = $34.188034188034
Approximately,
x = $34.2
Trigonometry, Law of Cosines.
Select the angle that correctly completes the law of cosines for this triangle.
Answer:
○ C. \(\displaystyle 74°\)
Step-by-step explanation:
\(\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2\)
In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.
I am joyous to assist you at any time.
2. 20% of what number is 15
Answer:
75
20 percent (calculated percentage %) of what number equals 15? Answer: 75
PLEASE HELP ME I NEED TO PASSS
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
The asymptote is y = - 1
f(x) is positive for all x-values less than 1.
The y-intercept is 3
The domain is all real numbers
As x increases , f(x) approaches , but never reaches, -1
The x-intercept is 2.
The range is all real numbers
graph is in the picture
Answer:
Step-by-step explanation:
When x =3 y=-1
X =2 y =0
X=0 y =3
X = -1 y=6
So c g d f true
Answer:
F
Step-by-step explanation:
Solve the equation and check your solution: -2(x - 1) = 2 - 2x
5x-1/4x + 7 / x(x-3)
100 x 500 x 250 x 600 x 900 x 10 000 x 0 x 500 x 60 x 70 x 50 x 90 + 1 x 50 =
Answer:
50
Step-by-step explanation:
solve 2x-7=13 what is x
Answer:x = 10
Step-by-step explanation:
13+7=20
2 x 10 = 20
x=10
Answer:
x = 10
Step-by-step explanation:
\(2x-7=13\)
First, add 7 to both sides.
\(2x-7 + 7=13 + 7\)
This cancels the -7 on the left side because \(-7 + 7 = 0\).
\(2x=20\)
Then, we can divide both sides by 2 to isolate one multiple of x.
\(2x=20\\\overline{\ 2\ } \ \ \ \ \overline{\, 2 \: }\)
\(\boxed{x = 10}\)
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
A savings account is opened with an initial deposit of $425.00. determine the account balance after 9 years if the account earns 2.7% simple interest annually. $3,928.28 $1,457.75 $528.28 $103.28
The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.
How to count the simple interest?
The simple interest of an amount of money can be counted by the following formula.
I = P₁ - P
I = P × r × t
Where
I = simple interestP = principal amount (initial balance)P₁ = final balancer = simple interest ratet = time periodWe have
Initial deposit, P = $425.00.Time period, t = 9 years.Simple interest rate, r = 2.7% per year.Find the final account balance!
After 9 years, the simple interest of the savings is
I = P × r × t
I = $425.00 × 2.7% × 9 years
I = $3,825.00 × 0.027
I = $103.28
The final account balance would be
I = P₁ - P
$103.28 = P₁ - $425.00
P₁ = $425.00 + $103.28
P₁ = $528.28
Hence, after 9 years, the account balance would be $528.28.
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Which ones do I circle
Answer:
Rational Numbers
Step-by-step explanation:
Its not a whole number, and not an integer because an integer is a whole number
Answer:
Rational Numbers
Step-by-step explanation:
It's a negative fraction :3
How many powers of 7 are contained in 10?
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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g True or false: The Master Theorem can be applied to solve this recurrence: Group of answer choicesTrueFalse
The Master Theorem is a mathematical tool used to analyze and solve recurrence relations that have a specific form.
It provides a framework for determining the asymptotic behavior of divide-and-conquer algorithms by classifying them into different cases.
The Master Theorem can be applied when a recurrence relation has the form:
T(n) = aT(n/b) + f(n),
where T(n) represents the time complexity of the algorithm, a is the number of recursive calls, n/b represents the size of each subproblem, and f(n) is the time complexity of the remaining work done outside the recursive calls.
The theorem provides formulas and conditions to determine the time complexity of the algorithm based on the values of a, b, and f(n). By comparing the values of a, b, and f(n) with the cases defined by the Master Theorem, we can derive the asymptotic time complexity of the algorithm.
Therefore, the Master Theorem can indeed be applied to solve recurrences that meet its specific form, making the statement "True."
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if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking
Answer:
what if i took the 4 other ones??
Answer:
4 kids
Step-by-step explanation:
6 minus 2 equals 4. it one easy qusation
Alan made $165 for 11 hours of work. At the same rate, how many hours would he have to work to make $195?
Answer:
Answer down below!
Step-by-step explanation:
You know that Alan made 165 dollars for 11 hours of work, which if divided, gives you 15. So, if 11 hours gives him 165, find a number that goes in. 15 x 13 = 195, so that is your answer. 13 hours of work!
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each shift he makes, how much money will he make if he makes 22 deliveries in one shift?
The total money to make 22 deliveries in one shift is, $116.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
A pizza delivery man makes $50.00 a shift.
And, He makes $3.00 on each shift.
Now, For the total money to make 22 deliveries in one shift is,
⇒ $50 + $3 × 22
⇒ $50 + $66
⇒ $116
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