Yes, the placement of parentheses can affect the value of an expression even when only multiplication is used. This is because parentheses can change the grouping of factors, which can in turn change the order of operations.
The order of operations is a set of rules that dictate the order in which operations should be performed in an expression. When there are no parentheses, the order of operations is as follows:
Exponents
Multiplication and division (from left to right)
Addition and subtraction (from left to right)
However, when there are parentheses, the operations inside the parentheses are performed first. This means that the order of operations is not always followed strictly from left to right.
For example, consider the following expression:
3 * 2 * 4
According to the order of operations, this expression should be evaluated as follows:
3 * 2 = 6
6 * 4 = 24
However, if we add parentheses to the expression, we can change the value:
(3 * 2) * 4
In this case, the parentheses tell us to evaluate the expression inside the parentheses first. So, we have:
(3 * 2) = 6
6 * 4 = 24
Therefore, the value of the expression is different depending on the placement of the parentheses.
This is because the parentheses change the grouping of factors. In the first expression, the factors are grouped as (3)(2)(4). In the second expression, the factors are grouped as ((3)(2))(4). This change in grouping changes the order in which the operations are performed, which can in turn change the value of the expression.
You are having a family-barbeque. in attendance are a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one father-in-law, one mother-in-law and one daughter-in-law. if every person is eating two burgers, what’s the minimum amount of burgers you will need?
Final answer:
To calculate the minimum amount of burgers you will need, count the number of individuals who will be eating and multiply it by 2. The Total burgers needed is 50 .
Explanation:
To calculate the minimum amount of burgers you will need, you need to count the number of individuals who will be eating. Let's count:
1 Grandfather
1 Grandmother
2 Fathers
2 Mothers
4 Children
3 Grandchildren
1 Brother
2 Sisters
2 Sons
2 Daughters
1 Father-in-law
1 Mother-in-law
1 Daughter-in-law
Adding all of these individuals, we get a total of 25 people. Since every person will be eating 2 burgers, we can calculate the minimum amount of burgers we will need by multiplying the total number of people by 2:
Total burgers needed = 25 people * 2 burgers per person = 50 burgers
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True or False? In a two-column proof, the right column states your reasons.
This is an example if you'd like to see one:
What are the first 20 digits of pi?
The first 20 digits of pi are 3.1415926535897932384. It's an irrational number used in many mathematical calculations and its decimal representation never ends or repeats.
Explanation:The first 20 digits of the mathematical constant pi (π) are 3.1415926535897932384. Pi is an irrational number, meaning it cannot be expressed exactly as a fraction, and its decimal representation never ends or repeats.It not only appears in geometry and trigonometry, but also in various fields of mathematics and science. Its value is usually approximated as 3.14 or 3.14159 in most mathematical and scientific calculations.Learn more about pi here:https://brainly.com/question/23320385
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In what position would you find the 'leading' runner in a race? In what position do you suppose you would find the 'leading coefficient' in a polynomial?
Solve the problem.
When granular materials are allowed to fall freely, they form conical (cone-shaped) piles. The naturally occurring angle of slope, measured from the horizontal, at which the loose material comes to rest is called the angle of repose and varies for different materials. The angle of repose θ is related to the height h and base radius r of the conical pile by the equation θ = cot-1(r/h). A certain granular material forms a cone-shaped pile with a height of 19 feet and a base diameter of 30 feet. What is the height of a pile that has a base diameter of 104 feet?
The angle of repose is calculated using the equation θ = cot-1(r/h). For a pile with a height of 19 feet and a base diameter of 30 feet, the angle of repose is approximately 38.03 degrees. Using this angle and the base diameter of 104 feet, we can find that the height of the new pile is approximately 77.07 feet.
The angle of repose θ is related to the height h and base radius r of the conical pile by the equation θ = cot-1(r/h).
Given a pile with a height of 19 feet and a base diameter of 30 feet, we can find its base radius by dividing the diameter by 2, which gives us a radius of 15 feet.
Now, we can substitute the given values into the equation to find the angle of repose θ.
θ = cot-1(15/19)
Using a calculator, we find that the angle of repose is approximately 38.03 degrees.
Next, we can use the height of the new pile and the known angle of repose to find its base radius.
Given a base diameter of 104 feet, the radius is half of the diameter, so the radius is 52 feet.
Now, we can use the equation θ = cot-1(r/h) and solve for h to find the height of the new pile.
h = r / tan(θ)
Substituting the known values, we get:
h = 52 / tan(38.03)
Using a calculator, we find that the height of the pile with a base diameter of 104 feet is approximately 77.07 feet.
The solution to w/-7 = -21 is 3.
True
False
The number of cartoons X, watched by Mrs. Kelly's first grade class on Saturday morning is shown below.
X P(X)
0 0.15
1 0.20
2 0.30
3 0.10
4 0.20
5 0.05
Give the standard deviation for the probability distribution above.
When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?
what is the distance between the points (5,-6) and ( 5,2)
A 1
B 3
C 4
D 8
Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1 hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn.
Which best describes the reasonableness of their solution? Their estimate is longer than the time it will actually take: Their estimate is accurate: Their estimate is shorter than the amount of time it will actually take: Their estimate is longer than the time it will actually take:
The correct answer is:
Their estimate is longer than the time it will actually take.
( Since, Estimated time-- 1 hour=60 minutes
Time actually taken= 28.125 minutes )
Step-by-step explanation:Time taken by Shandra alone to mow the field is: 45 minutes.
Time taken by Kelly alone to mow the field is: 1 hour 15 minutes.
We know that:
1 hour=60 minutes
Hence, 1 hour 15 minutes=60 minutes +15 minutes=75 minutes.
By looking at the time we consider that the total work be of 225 units.
This means that the Efficiency of Shandra is: 225/45=5 units/minutes.
Similarly,
Efficiency of Kelly is: 225/75=3 units/minutes.
Now, when they will work together there efficiency will be added.Hence, 5+3=8
Hence, the time taken by both of them when they work together is:
225/8
= 28.125 minutes.
But it was estimated that they took 1 hour=60 minutes.
Hence, there estimation of time taken was longer than what they actually took.
a city bus company sold 39 one-way tickets and 20 round-trip tickets from west elmwood to east elmwood. one-way tickets cost $14. round trip tickets cost $35. how much money did the bus company collect
Multiply. write your answer in simplest form. 35/70
Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.
Which expression can be used to find their least common multiple?
...?
2^2 x 3^2 is the answer... don't be rude and mark the other person bad she gave you a good explanation and fixed your question AND got the answer right... write you question correctly cause you probably just copied it and didn't fix it up!
Just do this for future questions!
A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers. What is the probability that someone guessing all 3 answers will get 100% on the quiz?
...?
Answer:
1/32
Step-by-step explanation:
You're welcome
Is there any rational numbers between 5/7 and 6/7 and why? ...?
What do the sin 25 and cosine 65 have in common. Explain why this is true. ...?
A right triangle has a hypotenuse of 10 cm and one leg that measures 5 square 3 what is the length of the other leg
Simplify: (4xy^-2) / [ 12x^(-1/3) y^5]
The reference angle for an angle whose measure is -440 is _____. 60 80 100
The reference angle for an angle whose measure is -440 is 80.
Step-by-step explanation:Reference angle--
It is the angle which is made from the terminal side of the given angle and it is always made by taking x-axis as a reference.
Here we are given a angle whose measure is:
-440.
This means that the angle covers more than one rotation and ends in the fourth quadrant.
Hence, the reference angle is:
-440+360=80
what are the binomial factors of the expression below? x^2-2x-15 Answers A. (x+3)(x+5) B. (x+3)(x-5) C. (x-3)(x+5) D. (x-3)(x-5)
Answer:
B.[tex](x-5)(x+3)[/tex]
Step-by-step explanation:
We are given that an expression
[tex]a^2-2x-15[/tex]
We have to find the binomial factors of the given expression.
[tex]x^2-2x-15[/tex]
To find the factors of given expression we will use of middle term splitting factor method.
The given can be written as
[tex]x^2-5x+3x-15[/tex]
[tex]x(x-5)+3(x-5)[/tex]
Taking (x-5) common
[tex](x-5)(x+3)[/tex]
Hence, the binomial factors of given expression is given by
[tex](x-5)(x+3)[/tex]
Option B is true.
how does a balance sheet work?
Step-by-step explanation: A balance sheet is a statement of financial condition at a point in time. It includes assets, liabilities, and equity. The balance sheet demonstrates the overall health of a company. It can be used to obtain loans and more financing.
Ella writes about 7 songs every 5 months. at this rate, how many songs could she write in 50 months?
HELP ASAP!!
given the function f (x)=2x-5 over 3 , which of the below expressions is correct ?
In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x+10, what is the measure of angle 2?
15
30
45
60
Answer:
The answer is 30
Step-by-step explanation
You gather what you knowCOE = 55°, m∠2 = 2x, m∠3 = x + 10
Then you set up an equation using that information2x + x + 10 = 55
Combine like terms3x + 10 = 55
Find xX= 15
Plug in "x = 15" to "2x" to find out what the measure of angle 2 is2 x 15 = 30
Therefore m∠2 = 30
In the number 956 ,783,529 how does the value of the digit 5 in the ten millones place compare to the digit 5 in the hundred place?
Amanda has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 930 cans and bottles in her truck. Let x be the number of 14 -ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.
The combined total weight of the cans and bottles in the truck, if x represents the number of 14-ounce cans, can be represented by the expression 14x + 70(930 - x). This combines the weight of the 14-ounce cans (14x) with the weight of the 70-ounce bottles (70(930-x)).
Explanation:In order to find the expression for the combined total weight (in ounces) of the cans and bottles in the truck, we have to first determine the number of bottles. We know that the total number of cans and bottles is 930, so the number of bottles would be 930 - x. Each can weighs 14 ounces and each bottle weighs 70 ounces. Therefore, the total weight in ounces will be the sum of the weight of cans and the weight of bottles. This can be represented as 14x + 70(930 - x). This expression represents the combined total weight in ounces of the items in Amanda's truck.
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If g(x)+xsin(g(x))= x^2 find g'(0) ...?
We want to find the g'(0) by knowing that:
g(x) + x*sin(g(x)) = x^2
We will get:
g'(0) = 0
First, we can see that:
g(0) is given by:
g(0) + 0*sin(g(0)) = 0^2
g(0) = 0.
Now let's derive this, we can rewrite:
g(x) = x^2 - x*sin(g(x))
Now we just differentiate to get:
g'(x) = 2*x - sin(g(x)) - x*cos(g(x))*g'(x)
Now we need to move all the terms with g'(x) to the left side:
g'(x) + x*cos(g(x))*g'(x) = 2x - sin(g(x))
g'(x)*(1 + x*cos(g(x)) = 2x - sin(g(x))
g'(x) = ( 2x - sin(g(x)) )/(1 + x*cos(g(x))
Now we just need to evaluate this in x = 0, so we get:
g'(0) = (2*0 - sin(g(0)))/(1 + 0*cos(g(0)) = -sin(g(0))
And remember that g(0) = 0 then:
g'(0) = -sin(0) = 0
g'(0) = 0
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Is 61 composite or prime
Hello There!
61 is a prime number.
Its only factors are: 1 and 61. It has no more factors.
#HaveAnAmazingDay
Hope this helps!
[tex]GraceRosalia[/tex]
What is the value of the expression?
Drag and drop the answer into the box to match the expression.
2.54+(−1.66)
Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?
The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid. ...?
The correct answer is statement (c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.
The formula for the volume of a cylinder demonstrates how the area of a circle is used to find the volume of the cylinder. Specifically, the volume of a cylinder is given by [tex]\pi r^2h[/tex], where r is the radius of the base (a circle), and h is the height of the cylinder.
This means that the area of a circle [tex](\pi r^2)[/tex] is multiplied by the height (h) of the cylinder to obtain the volume. This clearly shows how the area of a circle is extended into three dimensions to derive the volume of a cylinder.
Complete question :
Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?
(a) The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
(b) The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
(c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.