Q#1: Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm uses exactly n*exp1-[n+2n+3n+4n]/nlne(10) operations and the second algorithm uses exactly n! operations. As n grows, which algorithm uses fewer operations?
Answer:
The one of -[n+2n+3n+4n]/nlne(10) has fewer operations because the value of n is static.
The one of n! ( factorial ) is factorised up to n∞ hence has infinity operations.
After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?
well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7\)
Answer:
Answer is 7% sales Tax
Step-by-step explanation:
I first like to take one percent of the original value, in this case 1% of 600 is 6 dollars. I then multiply 6 by the number needed to get to 642, which is 107- you will always then subtract 100 from this number and you get 7%. This should work for other problems as well. This is probably not the best explanation btw
Why is a rhombus considered a type of quadrilateral?
Answer:
Well a rhombus is considered a quadrilateral because it has 4 sides and 4 angles.
Just like a square and rectangle they both are quadrilaterals with 4 angles and sides.
A rhombus is considered a type of quadrilateral because it has four sides and four angles
How to determine the reason?As a general rule, a shape that is considered a quadrilateral must have:
4 sides4 anglesSince a rhombus has four sides and four angles, then it is considered a type of quadrilateral
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50 Points! Multiple choice algebra graphing question. Which square root function is represented by the graph? Photo attached. Thank you!
A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).
What is a square root function?In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.Therefore, the required square root function is given by;
f(x) = √(4x + 8)
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If a new sweater sells for $53 find the total cost if you are charged 5% sales tax. Round your answer to the nearest cent
Answer:
$55.65
Step-by-step explanation:
you would find 5% of 53 which is $2.65 and then add that to your original price so 53 + 2.65 = 55.65
Help I really don’t get this I need help
Answer: 5x-1
Step-by-step explanation:
Answer:
its 3, 60x-12=6(10x-2) all real numbers are solutions for x
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?
Answer:
r = 10 ft
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
Volume V = 2000π ft³
Height h = 20 ft
Radius r = unknown
Step 2: Solve for r
Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)[Division Property of Equality] Isolate r term: 100 ft² = r²Rewrite: r² = 100 ft²[Equality Property] Square root both sides: r = 10 ftAnswer:10 ft
Step-by-step explanation:
Which angle measures 180
Answer:
D
Step-by-step explanation:
An angle that measures 180 degrees resembles a straight line.
A is greater than 90 degrees but less than 180 degrees.
B is less than 90 degrees.
C is equal to 90 degrees.
D is equal to 180 degrees.
What is the solution to the equation x^3=64?
X=
Answer:
These are two imaginary solutions.
x = − 4 , 2 ± 2 √ 3 i
Step-by-step explanation:
If a plane travels over the Pacific Ocean in 2 hours, what is the traveled distance?
Answer:
The plane went as as much in mph as he went in 2 hours
ex: 1mph =2 miles in 2 hours
ex2: 48mph =96 miles in 2 hours
What the difference between the lengths of the two routes
Step-by-step explanation:
Comparison of two routes in terms of complexity and length. The blue route (. . .) is the shortest but is complex to explain while the red (---) is simpler although a bit longe
Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm
Answer:
itsa 1200 B
Step-by-step explanation:
What is the greatest common factor of 20 and 36?
Answer:
4
Step-by-step explanation:
i did math
Answer: 4
Step-by-step explanation:
The Greatest common factor is the largest factor that both numbers share, so find their factors,
Factors of 20: 1,2,4,5,10 and 20
Factors of 36: 1,2,3,4,6,9,12,18, and 30
The largest factor that both numbers share is 4
write a quadratic function in standard form that passes through the points (-8,0) ,(-5, -3) , and (-2,0) .
F(x)=
A quadratic function in standard form that passes through the points \((-8,0), (-5,-3), and (-2,0)\) is equals to the \(f(x) = (1/3)( x^{2} + 10x + 16)\).
What are some examples of quadratic functions?f(x) = ax2 + bx + c, in which a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
How do you determine whether an equation is quadratic?In other terms, you have a quadratic equation if a times the squares of the expression after b plus b twice that same equation not square plus c equals 0.
\(f(x) = ax^{2} + bx + c ----(1)\)
is determined by three points and must be \(a\) not equal \(0\). That is for determining the f(x) we have to determine value of three values a, b, and c. Now, we have three ordered pairs \((-8,0), (-5,-3)\), and \((-2,0)\) and we have to determine quadratic function passing through these points. So, firstly, plug the coordinates of point\(( -8,0), x = -8, y = f(x) = 0\) in equation \((1)\),
\(= > 0 = a(-8)^{2} + b(-8) + c\)
\(= > 64a - 8b + c = 0 -------(2)\)
Similarly, for second point \(( -5,-3) , f(x) = -3, x = -5\)
\(= > - 3 = a(-5)^{2} + (-5)b + c\)
\(= > 25a - 5b + c = -3 --(3)\)
Continue for third point \((-2,0)\)
\(= > 0 = a(-2)^{2} + b(-2) + c\)
\(= > 4a -2b + c = 0 --(4)\)
So, we have three equations and three values to determine.
Subtract equation \((4)\) from \((2)\)
\(= > 64 a - 8b + c - 4a + 2b -c = 0\)
\(= > 60a - 6b = 0\)
\(= > 10a - b = 0 --(5)\)
subtract equation \((4)\) from \((3)\)
\(= > 21a - 3b = -3 --(6)\)
from equation (4) and (5),
\(= > 3( 10a - b) - 21a + 3b = -(- 3)\)
\(= > 30a - 3b - 21a + 3b = 3\)
\(= > 9a = 3\)
\(= > a = 1/3\)
from \((5)\) , \(b = 10a = 10/3\)
from \((4)\), \(c = 2b - 4a = 20/3 - 4/3 = 16/3\)
So,\(f(x)= (1/3)( x^{2} + 10x + 16)\)
Hence, required values are \(1/3, 10/3,\) and \(16/3\).
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Answer:
f(x) = (1/3)x² + (10/3)x + 16/3-------------------------------------
Given 3 points of a quadratic function and two of them lie on the x-axis:
(-8, 0) and (-2, 0)These two points are representing the roots of the function. With known roots we can show the function in the factor form:
f(x) = a(x - x₁)(x - x₂), where a - coefficient, x₁ and x₂ are rootsSubstitute the roots into the equation and use the third point with coordinates x = - 5, f(x) = - 3, find the value of a:
-3 = a(- 5 + 8)((-5 + 2)- 3 = a(3)(-3)3a = 1a = 1/3This gives us the function in the factor form:
f(x) = (1/3)(x + 8)(x + 2)Convert this into standard form of f(x) = ax² + bx + c:
f(x) = (1/3)(x + 8)(x + 2)f(x) = (1/3)(x² + 10x + 16)f(x) = (1/3)x² + (10/3)x + 16/3Work out the upper quartile of this list of numbers: 3,4,1,2,9
Answer:
23 24
it is the answer it is answered
JD Scott I have no idea how to go but she is kind I don't really care about
?! if you make $360 a week what is your yearly wage ?
Answer:
18,720
Step-by-step explanation:
there are approximately 52 weeks in a year
Answer:
$18,720
Step-by-step explanation:
Solve the question: 216=36p
Answer:
Step-by-step explanation:
p=6
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days
Answer:
Around 270 days
Step-by-step explanation:
Hope this helps you :)
3/4 subtracted from 1/3
Answer:
-5/12
Step-by-step explanation:
Convert to twelfths. Then subtract.
Change 3/4 to 9/12 and 1/3 to 4/12.
4/12 - 9/12 = -5/12
Can some one help me with my previous questions?
Kallie works at a pet store. Part of her job is to add the correct amount of water conditioner to each fish tank the list below provides information about the number of fish tanks and the amount of water conditioner she uses.
1: there are 12 fish tanks that need water conditioner
2: Each fish tank is filled with 20 quarts of water
3: for every 10 gallon of water, Kallie uses 1 teaspoon of water conditioner
What is the total number of teaspoons of water conditioner kallie will use for all the water in 12 fish tanks?
Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.
Here,
First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:
12 fish tanks * 20 quarts per fish tank = 240 quarts of water
To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):
240 quarts / 4 quarts per gallon = 60 gallons of water
Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:
60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner
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Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
let be the amount of coffee (in ounces) that an undergraduate student at uiuc drinks per day. suppose we know that has a mean of 10 oz and a standard deviation of 5.2 oz. suppose there are 120 students in stat 107. assuming stat 107 students are a random sample, calculate the standard error of the average amount of coffee a stat 107 student drinks per day . is greater than 12.7 oz.
0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.
Given that,
Standard deviation (σ) = 5.2 oz
mean (μ) = 10 oz
Number of students (n) = 120
As we know,
P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])
= P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])
= P (z > 1.86)
= 1 - P ( z < 1.86)
= 1 - 0.862394
= 0.137606
Thus, P( z > 12.7 oz.) = 0.137606
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Find the midpoint of the line segment with the given endpoints: (6, -5) and (2, 1) *
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answer:
4*9
Step-by-step explanation:
It's obvious.
Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus five. A) Does not exist B) 0 C) 5 D) -5
Answer:
lim as x---->0 of (x²-5) = -5 which is D
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
I need help solving this
The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².
What's volume of cylinder ?The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.
How does surface area work?The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.
Evaluating :Given that a volume of cylinder = h × r² × π
h = 12 in
r = 2 in
volume = ?
Volume of cylinder = h × r² ×π
= =12 × 3.14×(2)²
=37.68 × 4
=150.796 in³
B). Surface area of cylinder= 2πr² + 2πrh
=2× 3.14 × (2)²+2× 3.14× 2×12
=175.929in²
The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.
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hello, i need help c:
Answer: there were 50 guests
Step-by-step explanation: