UpStudy - Your Best AI Homework Helper
UpStudy - Your
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By leveraging these capabilities, AI serves as a trustworthy homework assistant that enables students to achieve academic excellence.
What Makes UpStudy the Best AI Homework Helper?
UpStudy stands out as an exceptional artificial intelligence homework helper by way of several key features:
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9 mins read
20 Math Puzzles (with Answers & Tips) That’ll Sharpen Your Brain
Have you ever found yourself stuck between price offers like “buy two at 20% off” or “buy three, get one free”? While your friends quickly made a choice and you were still thinking? Moments like these just show how much math is integrated into our everyday life, and how practicing it can make such decisions much easier.
Math puzzles would be one way to help you through various forms. From simple calculations to pattern recognition and more complex challenges. They stretch your logic and test your smarts.
The 20 puzzles in this article are designed to be easy-going so that everyone can give them a try. Each puzzle includes an answer and a tip. Whether you want to challenge yourself, impress your friends, or just have a little brain workout, these puzzles will enhance your math skills while showing you the light side of math.
Ready to give your brain a lift?
Ethan Miller
Jun 13, 2025
Algebra
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What is an Inequality in Math？
Sophia Greene
Apr 28, 2025
Tips
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How to Overcome Procrastination in Study: Understand and Conquer Procrastination
Ethan Miller
Apr 10, 2025
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3 mins read
Understanding the Fundamental Theorem of Calculus: Bridging Derivatives and Integrals
Sophia Greene
Apr 8, 2025
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Other
If 8 ft. boards of drywall cost 29, what is the minimum price for covering a 16 x 24 room with 12 ft. ceilings (entire room)?
Arithmetic
Perform the indicated operation, and write the expression. i^20+i^10-i^4-i^2
Algebra
Identifica cuáles de los siguientes polinomios están bien definidos: a. P(x)=5 x^3+1 / 2 x^2-x, b. Q(x)=x+1, c. R(x)=3 x^(-2)-5 x+6, d. M(x)=7x, e. A(x)=2 x^3+x^(1 / 2)-3, f. I(x)=3 x^2-5 x+6, g. C(x)=-3mnx-6nm x^2, h. D(x)=x^5-1/4 x-1, i. G(x)=-3 x^(-2)+8 x^(-5)-4, j. F(x)=-6
Algebra
Both epinephrine (a tyrosine derivative) and glucagon (a peptide hormone) increase glucose export from the liver into the bloodstream.
Each ligand binds a different receptor, but both lead to an activation of PKA. How does this happen?
Choose one:
A. Each activated receptor interacts with a unique GTP binding protein that activates PKA.
B. Both receptors bind and activate the same Ga subunit, Gsa, which indirectly leads
to PKA activation.
C. Both receptors bind directly to and activate PKA after the Gsa protein dissociates
from the receptor.
D. The receptors for the two ligands interact before binding to the heterotrimeric G proteins.
Biology
Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3
numbers. How many different standard plates are possible in this system? (Assume repetitions of letters
and numbers are allowed.)
Your answer is:
Pre Algebra
Distuncian entre 2 purtor, Determina lg distancia. 1- A(5, 5) B(0, 5), 2- A(4, 1) B(4, 8), 3- A(1, 1) B(4, 4)
Geometry
Mr Jannie Joop established and founded the manufacturing company, Build it (Pty) Ltd, in 1952 .
The company manulactures various industrial abrasives for the automotive industry.
Mr Joop runs the business with a very effective leam consisting of a finance manager, a production manager, a marketing
manager and a sales manager. Each manager has a supervisor reporting directly to him and lower-level workers who
pertorm most of the daily lasks required.
Mr Jocp wants to hire a Human Resources Manager and approaches you, an HR professional, for advice.
Traditional HRM (Human Resource Management) and Strategic HRM (Strategic Human Resource Management) are two
approaches to managing human resources within an organization. While both approaches are concerned with managing
people in the workplace, they differ in their focus, objectives, and methods.
2.1. Discuss the key differences between Traditional Human Resources Management and Strategic Hurnan Resources
Management. You must use examples to demonstrate your understanding.
Humanities
1.1 Discuss any FIVE (5) leadership failures of 'The company founder and former CEO, Elizabeth Holmes'. Identify
FIVE (5) elements of leadership and evaluate the outcome of the organisation if each element was used correctly
by the former CEO.
(20)
1.2 Explain how each of the FIVE (5) types of power could have been used by the CEO to influence employees in
the correct ethical work culture
Social Sciences
According to the reading, which sense serves an adaptive purpose?
Smell
Vision
Hearing
Touch
Biology
Describe the sampling distribution of p̂. Assume the size of the population is 15,000 . n=700, p=0.1. Choose the phrase that best describes the shape of the sampling distribution of p̂ below. A. Not normal because n <= 0.05 N and np(1-p) < 10. B. Approximately normal because n<=0.05N and np(1-p) < 10. C. Approximately normal because n<=0.05N and np(1-p) >= 10. D. Not normal because n <= 0.05N and np(1-p) < 10.
Statistics
Question 9
What is the correct term used for African customary
law that has to some extent been recorded in
writing, for example in legislation, court decisions 1.00
and textbooks?
unofficial customary law
living customary law
primary customary law
official customary law
Social Sciences
B is the midpoint of AC and E is the midpoint of BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D.
Geometry
El lado de menor longitud de un triángulo ABC mide ABC es semejante a un triángulo cuyos lados miden 4 cm. Si el triángulo 8cm, 12cm 16cm. ¿Cuál es el perímetro, en centímetros del triángulo ABC ?
Geometry
terrestre, 1000 kin piú in alto dell'altitudine di un
satellife geostazionario (circa 36000 km ).
a. 11 periodo del satellite è maggiore o minore di
24 ore?
b. Visto dalla superficie terrestre, il satellite si mud
verso est o verso ovest? Giustifica la risposta.
c. Determina il periodo del satellite.
Physics
B. Telatong Impormatibe (Informative Text)
6. Ang tekstong impormatbo ay naglalaman ng mga detalyeng kathang-isip.
7. Ang pangunahing layunin ng impormatibong telsto ay magbigay ng wastong impormasyon.
8. Karaniwan nang gumagamit ng mga datos, estadistika, at ebidensya ang impormatibong telsto.
9. Ang balita at ensildopedya ay halimbawa impormatibong telsto.
10. Sa tekstong impormatibo, maaaring gumamit ng opinyon upang palakasin ang argumento.
C. Telostong Deskriptibo (Descriptive Text)
11. Ang telstong deskriptibo ay naglalaman ng mga impormasyong telnikal at lohikal.
12. Layunin ng tekstong deskriptibo na ilarawan nang malinaw ang isang tao, bagay, lugar, 0 pangyayari.
13. Ang deskriptibong teksto ay gumagamit ng matatalinghagang salita upang mas mailarawan rang mabuti ang paksa.
14. Ang paglalarawan sa tekstong deskriptibo ay maaaring obhetibo o subhetibo.
15. Hindi masaring gumamit ng pandama (paningin, pandinig, panlasa, pang-amoy, at pandama) sa paglalarawan sa tekstong deskriptibo.
English
Simplity by combining like terms: 6(x+2y)+4
Algebra
If the total cost of producing 20 units of output is 35, what is the firm's average fixed cost at that level of output? 0, 65 , or $15
Economics
Write (9m)^4 without exponents.
Algebra
Six friends are saving money for a trip. They have each saved 200, B.300, D.$360
Arithmetic
A technician is researching how to troubleshoot a computer that reboots randomly. The research suggests that the technician should
check the computer for distended capacitors. Where should the technician look for these?
on the motherboard
on the memory module
within the power supply
under the CPU
Computer Technology
Note: You need to have your calculator in radians (RAD) mode for this task (since the angles are given in radians - i.e., π is featured). a) A current waveform in a robotic arm may be described by... i_s=13 cos (2πft-(π/4))(A), where frequency, f=1Hz and t represents time. Make time (t) the subject of this formula and hence determine a point in time when the current waveform has a magnitude of +10A .
Trigonometry
Susan has R1 000 that she invests in an account that pays 7.5% interest
compounded yearly. How much money does Susan have at the end of 5 years
Arithmetic
3. Find the difference between 111,123 and 198,002, Show how you calculated the
fifference.
Arithmetic
3. Define euthanize
Medicine
26. Reasoning Lorelei filled her 5 -gallon jug
with water. How many times could she fill
her 2 -quart canteen with water from the
jug? Explain.
Arithmetic
Allysa spent 3.75 each and Delaware chickens cost 2.50. Determine how much money she expects to take in at the end of the first week with her 12 chickens.
Algebra
Per mettere in movimento una slitta di massa m=7,1 kg
su un lago ghiacciato, Alice deve esercitare una forza di
6,0 N. Poi ferma la slitta per fare salire un bambino che
ha massa M=26 kg.
Qual è la nuova forza che deve esercitare per mettere
in movimento la slitta con il bambino?
Physics
7. Resuelvo las siguientes ecuaciones de segundo grado, factorizadas y fracciones algobraicas. a) x^{2} - x/2 = 1/3 - 2x/3 b) x^{2}/2-3x/5 = 1/5-x/6 c) 6(x+2)^{2} = 13(x+1)(x+2) d) (2x+1)(x+1) = 5(x+1) e)(4x^{2}-1)(x-5) = 0 f) x/(x+2) = 1/2(x-1)
Algebra
For each function below:
(1) Draw a neat sketch graph indicating the coordinates of the intercepts with the axes, the coordinates of the turning point and the equation of the axis of symmetry.
(2) Determine the domain and range.
(3) Determine the values of x for which the graph increases and decreases.
(4) Determine the maximum or minimum value of the graph.
(a) f(x)=(x+1)^{2}-4
(b) f(x)=-(x+1)^{2}+4
(c) f(x)=(x-1)^{2}-4
(d) f(x)=-(x-1)^{2}+4
(e) f(x)=(x-2)^{2}-1
(f) g(x)=(x+1)^{2}+2
(g) g(x)=-(x+1)^{2}-2
(h) g(x)=(x-2)^{2}-9
(i) g(x)=2(x+1)^{2}-2
(j) g(x)=(x-4)^{2}-2
Pre Calculus
Is paises da Eurasia dispoem de fatores geograficos favoraves a circulaçao interna de produtos e
conomicas. De que maneira os aspectos fisicos favorocem a
comercio internacional?
Geography
8. How did Saint Patrick's Day make its way to the United States?
a. Irish immigrants brought it with them. (COLOR BLUE)
b. The Catholic church declared it a US holiday (COLOR RED)
c. Missionary work spread it throughout the US (COLOR BLACK)
d. All of the above (COLOR ORANGE)
History
hich of the following best deseribes how an evolutionary biologist would use comparative anatomy to examine paleontological evidenise an
etermine the evelutionary re istionship oetween two species?
a By analyzing the geromes of each species to look for similar gene sequences
by determining if each species uses different structures to carry out the same functions
o By examining the bone structures of each species to look fo- similar structural pottems
of By studying the metabo ic pathways of each species to look for similarities in cellular respiration
Biology
For f(x)=7x+8 and g(x)=x^{2}, find the following composite functions and state the domain of each. (a) f circ g (b) g circ f (c) f circ f (d) g circ g (a) (f circ g)(x)=7 x^{2}+8 (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The domain of f circ g is {x}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to) B. The domain of f circ g is all real numbers. (b) (g circ f)(x)= (Simplify your answer.)
Algebra
134. Un quadrilatero ha due angoli che
misurano 136° e 82° e gli altri due sonp
tra loro congruenti. Calcola le ampiezze
di questi ultimi.
Geometry
1.1 Convert 5 kg to gram (2) 1.2 Thando loves to give food to the less fortunate in smaller quantities of 125g. Determine how many packets of 125 g thando will be able to get from one Pack of 10 kg tastic rice (3) 2. Thando is a member of a stockvel group who resides 47,5km away from nearest supermarket. 2.1 Thando stated return trip from the supermarket to her house is 105 km . Verify if her claim is correct (3) 3. bindy works as a teacher and intends to renovate her home during the december school holidays. 3.1 The total area covered by the house is 183km^2, Convert the area to cm^2. 3.2 Determine the length of the house if the width of the house is 12,5m. You may use the formula area = length * width
Arithmetic
32) Rules of 70 and 72: The rules state that it takes about 70/i of 72/ i years for money to double at i percent, compounded continuously, using whichever of 70 or 72 is easier to divide by i. a) Show that it takes t=ln 2/r years for money to double if it is invested at annual interest rate r (in decimal form) compounded continuously. b) Graph the functions y_1=ln2 / r, y_2=70/100r, y_3=72/100r 0<=r<=0.1 and 0<=y<=100 viewing window. c) Explain why these two rules of thumb for mental computations are reasonable.
Calculus
Find the equation (in terms of x) of the line through the points (-2,4) and (4,-14). y=
Algebra
Dominic has four unexpected expenses, including a broken TV, increased
insurance costs, a broken-down car, and a hole in a shoe. Which of these
expenses would be considered an emergency?
Select a response.
television
insurance
new repairs
Everyday
Alida works from home. Which item is a want for her
Selecṭ a response.
Cell phone
Internet
Groceries
Streaming service
Economics
lim_(x-> 7^{-}) f(x)=2 and lim_(x-> 7^{+}) f(x)=2, but f(7)=-2. What can you say about lim_(x->7)f(x)?
Calculus
9 Multiple Choice 1 point
How many kilograms in 25 grams?
Select the answer with correct units and rounded to 2 significant figures.
Arithmetic
Xavier mixes bucketsof coarse sand with buckets of cement to make a
special type of concrete. How many buckets of concrete will he make?
Tasneem is an intern at ZX Communications Agency. She earns R4 500 a month
Write the number 4500 in scientific notation.
Increase R4500 in the ratio
Arithmetic
1) Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how
many times will Pat bounce the ball in 150 seconds?
Answer:
Arithmetic
If you roll a 6 -sided die 12 times, what is the best prediction possible for the number of times
you will roll an odd number?
Submit
Probability
Why does doubling the mass of an object double its weight, but doubling its distance
from the center of Earth reduces its weight fourfold? Hint: think of the affects of
gravity and distance
The weight is half the gravitational force between the object and Earth
The weight is equal to the gravitational force between the object and Earth, and the
gravitational force is inversely proportional to the distance squared between the object and
Earth
The weight is directly proportional to the square of the gravitational force between the object
and Earth
The weight is two times the gravitational force between the object and Earth
Physics
Question 3
Calculate the accumulated amount after eight years of weekly payments of R1 900 each into an account
earning interest per year, compounded weekly.
Draw an appropriate timeline showing all the given values.
Economics
19. dy/dx = (xy + 3x - y - 3)/(xy - 2x + 4y - 8)
Calculus
1. 4a-b+2a+3b=
2. (3a-9b)+(2a-7b)=
3. (a+6b)-(-8a+2b)=
Algebra
The fuel tank in Jack's car holds 52 litres of petrol, to the nearest litre.
What is the least amount of fuel the tank could hold?
Josie is 130 cm tall to the nearest 10 cm.
What is the shortest Josie could be?
Amy scores 9960 points on a new game, to the nearest 10.
Bill scores 9900 points to the nearest 100.
Who did better?
Amy, Bill, Can't tell
Arithmetic
A
comparative adjectives
completa le frasi con il comparativo degli aggettivi tra parentesi.
My sister's bedroom is smaller (small) than my bedroom.
car is (fast) than a bike.
2 London is (big) than Manchester
31 feel (happy) when the weather's good.
4 You're always late! You're (bad) than Liam!
5 My desk is always (tidy) than Tom's
6 Matt and Theo's project is (good) than our project.
7 Why do you think you're (clever) than me?
8 I need to do more sport because I want to be
(fit).
English
8. La dependencia de servicio al estudiante de la Corporación Universitar
Iberoamericana, si al requerir estimar el ingrese, promedio de sus estudiantes
nivel nacional seleccionó 62 estudiantes con una desviación estándar de 80000
pesos en su salario y un nivel de confianza del , determine el error usado par
haber realizado este calculo.
Statistics
La dependencia de servicio al estudiante đe la Corporación Universitaria
Iberoamericana, requiere estimar el ingreso promedio de sus estudiantes a nivel
nacional. Si se tiene conocimiento que a la fecha hay 17315 estudiantes inscritos y
se está dispuesto a acepta un error de más o menos 150000 pesos, con una
desviación estándar de 950000 pesos y un nivel de confianza del . Determine
el tamaño de la muestra que se debe seleccionar para calcular estimar dicho
parámetro.
Statistics
Explique el paso a paso necesario para determinar el valor de z que
correspondiente a un nivel de confianza del 93% y ejemplifiquelo por medio de
una grafica.
Statistics
Water is leaking out of an inverted conical tank at a rate of _ cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has helght 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 19 centimeters per minute when the height of the water is 4.5 meters, find the rate at which water is being pumped into the tank in eubic centimeters per mitiute. _ \frac{\mathrm{cm}^{3}}{\mathrm{~min}}
Calculus
Convert 3 from radians to decimal degrees. Round to 1 decimal place if necessary. 3 radians
Pre Calculus
Un triangolo rettangolo ha i cateti che misurano
5ae2a+1. Se si aumenta il primo di 3a+2e si
diminuisce il secondo di a, qual è la differenza tra
la seconda e la prima area?
Geometry
In un rettangolo la base supera di 3 il quadruplo dell'altezza, che misura h+1. Trova il perimetro e l'area in funzione di h.
[10 h+16 ; 4 h^{2}+11 h+7]
Algebra
Use the table to answer the following questions.
The marginal, or additional, gain from Bella's first hour spent working, from 7:00 AM to 8:00 AM, is 120 problems.
The marginal gain from Bella's third hour spent working, from 9:00 AM to 10:00 AM, is 60 problems.
The following week, Bella's statistics faculty advisor gives her some advice. In all their years of teaching they claim to observe that working on 105
students are able to review lecture notes at a constant pace during each hour spent studying.
Given this information, in order to use her 4 hours of time spent studying to get the highest possible test score, how many hours should she have
spent solving multiple choice problems, and how many hours should she have spent reviewing lecture notes?
0 hours working on problems, 4 hours reading
1 hour working on problems, 3 hours reading lecture notes. Form sime
3 hours working on problems, 1 hour reading
4 hours working on problems, 0 hours reading
Economics
What is an ongoing amount paid by an individual to maintain insurance coverage?
Select one:
Co-insurance
Deductible
Formulary
Premium
Economics
2011^2 - 2010^2=
Algebra
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