Answer:
to the third power ?
Step-by-step explanation:
Answer:
The answer is 27!
Step-by-step explanation:
9 plus 9 equals 18 plus 9 equals 27!
What is the x and y intercept of 2.5x+8y=240 please show your work.
Answer:
The x and y intercept are (96,30)
Step-by-step explanation:
8y=240-2.5x
y=240/8-2.5x/8
y=30-0.3125x
The y intercept=30
The x intercept=96 thus 30=0.3125x,x=30/0.3125
In a company, 85% of the workers are women. If 390 people work for the company who aren't women, how many workers are there in all?
Answer:
2210
Step-by-step explanation:
390 =15%
390*3 = 130=5%
130*17=2210
(PLEASE SOMEONE HELP)
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need?
Answer:
The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice
Step-by-step explanation:
The given parameters are;
The volume of the concentrated orange juice = 12 fluid ounce cartons
The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces
The amount of orange juice James need = 4.5 gallons = 576 fluid ounces
Therefore;
The ratio of orange juice concentrate to water is 12:36
Therefore;
Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;
x + y = 4.5 (gallons)...(1)
x:y = 12:36 = 1:3
∴ x/y = 1/3
3·x = y...(2)
From equation (1) and equation (2), we have;
x + y = 4.5
x + 3·x = 4.5
x = 4.5/4 = 1.125
x = 1.125
The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons
∴ y = 3 × x = 3 × 1.125 = 3.375
y = 3.375
The amount of water in the 4.5 gallons of orange juice, y = 3.375
Therefore, we have;
4.5 gallons = 576 fluid ounces
∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces
The amount of fluid ounces per carton = 12 fluidounces/carton
∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice
The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.
What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)
Answer:
\(m=− 32 ≈−0.666666667\)
Step-by-step explanation:
what are the outliers for 125, 165, 173, 183, 192, 230
Answer:
I think 230
Step-by-step explanation:
hope it's help.
HELP GEOMETRY WILL GIVE BRAINLIEST!!!!!!!
Thus, the measure of the value of 'x' for the given length of arc of circle is found as: x = 90.
Explain about the intercept chord theorem:The products of a measurements of the segments of two chords are equal if they overlap in a circle.
When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.The intersecting chords theorem aids in determining how far apart various points on a circle are from a given location inside the circle.For the given arc length of circle:
Let the intersection of the both chords be 'O'.
m∠KOL = 180 - x ...eq 1 (linear pair).
By the intercept chord theorem:
m∠KOL = (arc JM + arcKL)
Put the value of eq 1.
180 - x = 1/2(30 + 2x - 30)
180 - x = 1/2 * 2x
180 = x + x
x = 180/2 = 90
Thus, the measure of the value of 'x' for the given length of arc of circle is found as: x = 90.
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One vertex of the equilateral triangle is in the center of the square, and one vertex of the square is in the center of the equilateral triangle.
What is the value of x?
Consider using paper if that helps to support your thinking.
The value of angle x in the diagram of equilateral triangle and square is 120⁰.
What is the value of x?If one vertex of the equilateral triangle is in the center of the square, and one vertex of the square is in the center of the equilateral triangle, the value of x is calculated as follows;
Since the vertex of the equilateral triangle is at the center, then angle x will be equal to the opposite angle.
Also, the center angle will be equal to 60⁰, individual angle of equilateral triangle.
( x + x ) + ( 60 + 60 ) = 360 ( sum of angles in a quadrilateral )
2x + 120 = 360
2x = 240
x = 240 / 2
x = 120⁰
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s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)
constant of variation:
direct variation equation:
when s=16, t=
Answer:
aS
Step-tep explanation:
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project.
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project
The tax rate for 10% is IRR = 78%.
The Initial evaluating cost is $786000 and the
Depreciation expense per year will be = $786,000 / 8 = $98,250.
and the contribution margin per unit = $48 - $25 = $23
total units sold Projected per year = 65,000
fixed costs will be per year = $725,000
At Present the tax rate = 22%
Net cost fixed per year = -$786,000
Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215
Net Per Variable = $2,533,471.10
Hence the answer is, The tax rate for 10% is IRR = 78%.
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The average full-time faculty member in a post-secondary degree granting institution works an average of 46 hours per week. Round intermediate calculations and final answers to two decimal places as needed.
(a) If we assume the standard deviation is 2.4 hours, then no more than % of faculty members work more than 53.2 hours a week.
To find the percentage of faculty members who work no more than 53.2 hours a week, we need to calculate the z-score and then use the standard normal distribution table.
First, we calculate the z-score using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, the z-score is (53.2 - 46) / 2.4 = 3. Next, we look up the cumulative probability in the standard normal distribution table corresponding to a z-score of 3. From the table, we find the cumulative probability to be approximately 0.9987. To find the percentage, we multiply the cumulative probability by 100: 0.9987 * 100 = 99.87%.
Therefore, no more than 99.87% of faculty members work more than 53.2 hours a week. Rounded to two decimal places, the answer is 99.87%.
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A manufacturer drills a hole through the center of a metal sphere of radius R = 8. The hole has a radius r. What value of r will produce a ring whose volume is exactly half the volume of the sphere? (Round your answer to two decimal places.)
Answer:
New radius(r) = 3.65 (Approx)
Step-by-step explanation:
Given:
Radius of sphere(R) = 8
Find:
New radius(r)
Computation:
Volume of sphere = (4/3)πR³
Volume of sphere = (4/3)π(6)³
Volume of sphere = 288π
Volume of ring = (4/3)π(R²-r²)³/²
Half volume of sphere = Volume of ring
288π / 2 = (4/3)π(R²-r²)³/²
144 = (4/3)(6²-r²)³/²
108 = (6²-r²)³/²
New radius(r) = 3.65 (Approx)
For each give the correct METRIC unit of measure. Do NOT use the abbreviation. a. My foot is 21 (fill in blanks) long. b. My large aquarium holds 55 (fill in blank) of water. c. My dad drives 27 (fill in blank) to work each day. d. I just bought 12 (fill in blank) of carpet to cover my family room floor.
Answer:
Inches
Gallons
Kilometers
Yards
Step-by-step explanation:
We are to proffer the appropriate unit of measurement for each scenario given below :
a. My foot is 21 inches long. (unit for measuring length which are usually small such a a person's foot)
b. My large aquarium holds 55 gallons of water. (volume measurement of liquid in a large container)
c. My dad drives 27 kilometers to work each day. (distance measurement which are moderately long)
d. I just bought 12 yards of carpet to cover my family room floor. (length measurement used for materials such as cloth, carpet, rugs e.t.c).
A local college wants to test the water quality by performing a survey. Which description describes what they should collect?
the tap water quality at one house
the tap water quality at one local store
the river water quality by collecting water in the same spot
the river water quality by collecting water in different spots
Sierra plays a hockey video game. She earns 5 stars for every goal she scores and loses 1/2 star every time she misses the goal. She scores 4 goals and misses the goal 8 times. How many stars does she have?
Answer:
Sierra would have 16 points
Step-by-step explanation:
5×4=20
8×\(\frac{1}{2}\)=4
20-4=16
show that's ABE = EBC
Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B
Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
How may the ABC def be demonstrated?Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.
ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).
If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).
If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.
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rewrite 10/7 as a mixed number.
Step-by-step explanation:
1 3/7 is your answer
hope it helps
Answer:
\(1\frac{3}{7}\)
Hope this helps!
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What is the output of y=6x−11 when the input is 5?
The output of the equation will be 19.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, y=6x−11
Putting x = 5
y = 6*5-11
y = 19
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the use of a ""thumbs-up"" gesture to symbolize the statement ""good luck""
The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.
It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!
The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:
1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.
By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.
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4 times a number is 32 less than the square of that number. Find the negative solution.
The answer is -16
Step by step explanation:
the expression of this equation is √4x=-32, so first, we would find the square root of 4, which is 2. so now we have 2x=-32. Next we want to divide 2 from both sides, which gives us our final result: x=-16. So our answer is -16.
Christina will be retiring next month from her job after 35 years as a school bus driver. Over the last 35 years, Christina’s annual salary averaged $22,040. She expects to receive some money each month from Social Security and plans to take the rest of the money she needs to pay the monthly bills from savings. Each month her bills total to about $1,375. Assuming her annual Social Security benefit will be 42% of her salary average, how much will she need to take from savings each month to help pay the bills?
a.
At least $771.40
b.
At least $603.60
c.
At least $629.71
d.
At least $1,722.08
Please select the best answer from the choices provided
A
B
C
D
Answer:
$603.60
Step-by-step explanation:
Just took the quiz.
Quicksort. Please help. I do not need
definitions.
numbers \( =(56,25,26,28,81,93,92,85,99,87) \) Partition(numbers, 5, 9) is called. Assume quicksort always chooses the element at the midpoint as the pivot. What is the pivot? What is the low partitio
In the given list of numbers (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), when the Partition function is called with the range from 5 to 9, the pivot chosen is 93. The low partition consists of the numbers less than or equal to the pivot.
Quicksort is a sorting algorithm that involves partitioning the list around a pivot and recursively sorting the resulting sublists. In this case, the given list of numbers is (56, 25, 26, 28, 81, 93, 92, 85, 99, 87).
When the Partition function is called with the range from 5 to 9, the pivot is chosen as the element at the midpoint of that range. So, the midpoint of the range from 5 to 9 is (5 + 9) / 2 = 7. Therefore, the pivot chosen is the 7th element of the list, which is 93.
The low partition consists of the numbers less than or equal to the pivot. In this case, the numbers less than or equal to 93 are 56, 25, 26, 28, 81, and 92.
Hence, the pivot is 93, and the low partition consists of the numbers 56, 25, 26, 28, 81, and 92.
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Please help in this question with explanation. pls
Answer:
V = x³ - 3x² + 3x - 1
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side )
Here s = x - 1 , thus
V = (x - 1)³
= (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL
= (x - 1)(x² - 2x + 1) ← distribute
= x³ - 2x² + x - x² + 2x - 1 ← collect like terms
= x³ - 3x² + 3x - 1
15th term is 48, 40th term is 223. determine a, d, and the general formula
Answer:
\(\mathrm{a=-50,\ d=7,\ general\ formula=7(n-1)-50}\)
Step-by-step explanation:
\(\mathrm{Solution,}\\\mathrm{Given,}\\\mathrm{15^{th}\ term(t_{15})=48}\\\mathrm{or,\ a+14d=48.........(1)}\\\mathrm{And\ 40^{th}\ term(t_{40})=223}\\\mathrm{or,\ a+39d=223......(2)}\\\mathrm{n^{th}\ term(t_n)=\ ?}\\\mathrm{Subtracting\ equation(1)\ from\ (2),}\\\mathrm{25d=175}\\\mathrm{or,\ d=7}\\\mathrm{Now,\ a+14d=48\ or,\ a=48-14d=48-14(7)}\\\mathrm{\therefore a=-50}\)
\(\mathrm{t_n=a+(n-1)d}\\\mathrm{or,\ t_n=-50+(n-1)7}\\\mathrm{\therefore general\ formula=7(n-1)-50}\)
the student council rented a popcorn machine that costs $50 per day. they plan to sell the popcorn for $1.50 for each bag. it cost $0.50 to produce a bag of popcorn. what is the least number of bags of popcorn must they sell to make a profit?
Answer: f(x)=-.5x+1x f(1)=-.5(1)+1= f(1)= 1-.5= .50, so after selling one bag of popcorn they make a $0.50 profit.
Step-by-step explanation: Hope this helps!! :))
Answer: 51 bags.
Step-by-step explanation:
Profit = (price of goods sold) - (cost of goods sold)
Therefore, the profit per bag of popcorn is $1.50 - $0.50 = $1.00.
The fixed cost of the machine is $50.
For every bag sold, we make $1.00 of profit. If we divide the price of the popcorn machine by the profit on each bag of popcorn, we find how many bags we need to sell. $50 / $1.00 = 50 bags. If we sell 50 bags, we break even. The 51st bag and every bag sold after makes a profit, so therefore, in order to make a profit, the student council must sell at least 51 bags of popcorn.
if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches
Answer:
Step-by-step explanation:
1 in^2 = 5 mi * 5 mi = 25 mi^2
2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2
If the measure of angle 3 is 60 degrees. What is the measure of angle 5? Why?
7/2 = x/11 does anyone know the answer?
Step-by-step explanation:
\( \frac{7}{2} = \frac{x}{11} \\ 2x = 77 \\ x = \frac{77}{2} \\ x = 38.5\)
Discuss and Explain Combinatorics ≡ Hadamard Theorem, with a full explanation of the theorem in not less than 2000 words, and give an example and references of the information that you explain
1. discuss how the theory is incorporated/ discussed (for instance, what assumptions, axioms, predictions, theorems, explanations, and framework of the theory in explaining phenomena) in a specific research paper that you have selected for the assignment.
2. Assess the theory (utility, scope, falsifiability, etc) based on your understanding and supportive information from a selected research paper.
3. Based on the first two steps, critically discuss the theory in your own words with support from existing literature (that is the theory is enough in explaining any phenomena or it may have lacking, how the theory can be incorporated into some understudied areas, how are you going to relate this theory with other disciplines, etc.)
4. it should not be less than 2000 words.
Combinatorics—Hadamard Theorem studies the Hadamard matrix and linear algebra. The Hadamard Theorem states that an n-order Hadamard matrix exists if n is a multiple of 2. This theorem is applied in coding theory, signal processing, quantum computing, and experimental design.
"Applications of Hadamard Matrices in Coding Theory" by Zhe-Xian Wan and Keqin Feng examines combinatorics and Hadamard Theorem. This research builds error-correcting codes with Hadamard matrices. The authors detail Hadamard matrices and the Hadamard Theorem. They discuss optimum error-correcting code and Hadamard matrix construction. Coding theory uses Hadamard matrices in this study.
Combinatorics' Hadamard Theorem has various applications. The Hadamard Theorem created several applications for Hadamard matrices. Hadamard matrices produce desirable error-correcting codes in coding theory. Codes store and transfer data. Signal processing, quantum computing, and experimental design use Hadamard matrices. Mathematically sound, the theory is well-developed. The theory only addresses the existence and properties of Hadamard matrices, therefore further research is needed to discover their optimum construction methods and applications.
Cryptography, machine learning, and network architecture can use Combinatorics-Hadamard Theorem to research understudied areas. Hadamard matrices improve cryptography and machine learning. Hadamard matrices can design reliable communication networks. Graph theory and optimisation use combinatorics and Hadamard Theorem. Combinatorial and linear algebraic frameworks help researchers grasp mathematical and computing problems.
Combinatorics-Hadamard Theorem illuminates Hadamard matrices. The theorem is applied in coding theory, signal processing, quantum computing, and experimental design. It gives Hadamard matrices a required and sufficient condition for various applications. The theory's limits require more investigation to develop optimal construction methods and other applications. New math discoveries and applications can result from applying the theory to understudied regions and other fields.
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The highest score on an Algebra test was 40 points more than the lowest. When added together, the lowest and highest score was 152. Write an equation to find the highest score, then solve.
*
x + x + 40 = 152; 56
x + x + 40 = 152; 96
x + x = 152; 76
x + x - 40 = 152; 96
Answer: x + x - 40 = 152; 96
Step-by-step explanation:
If x is the highest score, then x - 40 would be the lowest score because of a 40 point difference. Adding these terms would result to x + x - 40 which is equal to 152. This sets up the equation x + x - 40 = 152. The value of x in this equation would be 96.