A set of symbols that expresses a mathematical rule is called a formula.
What are mathematical symbols?A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Given is a definition as -
"A set of symbols that expresses a mathematical rule is called a ?".
A set of symbols that expresses a mathematical rule is called a formula.In mathematics, a formula is a fact, rule, or principle that is expressed in terms of mathematical symbols. Examples of formulas include equations, equalities, identities, inequalities, and asymptotic expressions.Therefore, a set of symbols that expresses a mathematical rule is called a formula.
To solve more questions on math formulas, visit the link below -
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Final answer:
A set of symbols expressing a mathematical rule is called a mathematical model or equation, using variables and relationships to define concepts such as a set or a group in group theory.
Explanation:
A set of symbols that expresses a mathematical rule is often referred to as a mathematical model or equation. These models are essential for describing phenomena in a precise and universal language that transcends natural language, allowing for consistent replication and understanding across various fields of study. In mathematics, we use variables like x, y, or n and symbols to create equations which express relationships or rules. For example, to define a set of all even numbers, we could write the rule as the set of all real numbers x such that x/2 is an integer. This uses the structure of the equation to convey the membership rule for the set, which in this context would be described by the notation '{x : x/2 is an integer}' where the colon represents 'such that'.
Furthermore, when these symbols and rules are organized into a specific system with defined properties, such as closure, identity, inverses, and associativity, they can form a group, which is a fundamental concept in group theory.
assignment
Solve: 4^3x=4^2
Answer:
x =2/3
Step-by-step explanation:
4^3x=4^2
Since the bases are the same, the exponents are the same
3x =2
Divide each side by 3
3x/3 = 2/3
x = 2/3
Cos(330degrees) how is it solved ?
Step-by-step explanation:
Put your calculator this trigonometric function and you will get root of 3 over 2.
How ?
Circle is 360° and this angle is more closely to complete the circle, but 330 is on 4th square ( +x,-y).
I hope that it's a clear explanation.
PLS ANSWER IT IS HARD LOTS OF LOTS POINTS.....
Answer:
the prism has 2 layers and 20 unit cubes in each layer.
Step-by-step explanation:
just count
Answer:
It would be 2 layers and 20 cubes in each layer.
Step-by-step explanation:
Hope this helps!
can someone help pleassseeeee
Answer:
7.5 ft by 30 ft
Step-by-step explanation:
It's in the question
Scale factor of 5/2
12 * 5/2 = 30 ft
3 * 5/2 = 7.5 ft
7.5ft by 30ft
Answer: 7.5ft and 30ft
Step-by-step explanation:
The original length is 12ft
Breadth is 3ft
If the poster is expanded by 5/2,
New length will be
5/2×12
=5×6
=30ft
New breadth will be
5/2×3
=15÷2
=7.5ft
The new dimension will be
7.5ft and 30ft
Rewrite the expression below as the sum of one constant and one variable term 2(x-4)+6x-5x•3
Answer:
-7x-8
Step-by-step explanation:
First distribute the parenthesis:
2x-8+6x-5x·3
Following PEMDAS, Do multiplication next:
2x-8+6x-15x
Simplify:
-7x-8
Mark has a box of chocolates in the shape of a rectangular prism. The box has a length of 14 inches a width of 9 inches, and a
height of 3 inches. What is the volume of the box?
OA
B.
C
D.
338 cubic inches
378 cubic inches
382 cubic inches
168 cubic inches
At hockey practice, Savannah made 19 out of 20 shots. Write the fraction of shots Savannah missed as decimal
Answer:
.05
Step-by-step explanation:
if she made 19/20 shots, this means she missed 1/20
Decimals are on a scale of one hundred, therefore, we need to set the denominator to 100
To do this, multiply 1/20 times 5/5 and you should get 5/100
in decimal form, 5/100 is equal to this:
0.05
Thank me later :)
1/2x-3=141 help me with this
Answer:
1/2x-3=141
so first add 3 from both sides:
1/2x=141+3
1/2x=144
next divide is 1/2 on both sides
x=144/(1/2)
x=288
Answer:
x= 288
Step-by-step explanation:
1/2x-3=141
-3+3 which cancels out and you do 141+3 which gives you 145
you are left with 1/2x=145
and you divide 145 by 1/2x and you get
x=288
i hope this is right
help here plz ! …..A taxi company charges a flat fee of $6.00, plus $1.10 per mile after the first 3 miles. Sarah’s taxi cab ride cost $22.50. How many total miles did Sarah travel?
Answer:
Step-by-step explanation:
$6+$1.10=$22.50
Add 1.10 to 6 ,15 times And you will get 22.50
Answer =15 miles
The question is asking how long was Sarah's taxi ride based on the taxi fare. This can be solved using algebra to set up an equation and solve for the total miles. The solution indicates that Sarah traveled a total of 18 miles.
Explanation:This question involves a concept in algebra known as linear equations, which are used to express variable relationships. Similar to the Svetlana's tutoring fee problem, this taxi fare problem can be solved by writing an equation based on the given information.
The equation would look like this: $6.00 + $1.10(miles - 3) = $22.50 where miles represent the total miles traveled by Sarah. Subtract $6.00 from both sides: $1.10(miles - 3) = $16.50. Divide both sides by $1.10 you get: miles - 3 = 15. Now, if we add 3 to both sides of the equation, we get: miles = 15 + 3 = 18.
So, Sarah traveled a total of 18 miles for her taxi ride.
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help please:)I don’t know how to do it
Answer:
(1,1)
Step-by-step explanation:
1=4(1)-3
1=1
Answer:
(1,1) (2,5) (3,9)
Step-by-step explanation:
the radius of the base of a cylinder is 39 in and it’s height is 33 in. find the surface area of the cylinder in terms of pi
The surface area of the cylinder, with a radius of 39 inches and a height of 33 inches, is calculated using the formula for the surface area of a cylinder. It amounts to a total of 7386pi square inches, separating the calculation into the lateral surface area and the area of the bases for clarity.
Explanation:The question is about finding the surface area of a cylinder where the radius of the base is 39 inches and its height is 33 inches, all in terms of pi. To find the surface area of a cylinder, we use the formula: 2(pi)(r)(height) + 2(pi)(r)^2. Substituting the given values, we have 2(pi)(39)(33) for the surface area of the sides, and 2(pi)(39)^2 for the two circular ends.
Therefore, the total surface area in terms of pi is: 2(pi)(39)(33) + 2(pi)(39)^2. This simplifies to: 2562pi + 4824pi, resulting in a total surface area of 7386pi square inches.
This approach easily demonstrates the process of calculating the surface area of a cylinder by focusing on its geometrical components: the lateral surface area and the area of the two circular bases.
A farmer uses 36 feet of fencing to build a rectangular rabbit pen. The function
A(W) = 18w – wê can be used to find the area of the pen for a given width, w
What is the greatest possible area the farmer can enclose in a rectangular pen
with 36 feet of fencing?
Answer:
81 square feet
Step-by-step explanation:
Given the function
A(W) = 18w – [tex]w^{2}[/tex]
To find the greatest possible area the farmer can enclose in a rectangular pen
with 36 feet of fencing, we take the derivative on both sides of the function:
A'(w) = 18 -2w
=> A''(w) = -2
Since A"(w) is in negative, so the critical value will yield maximum value of the function.
So, A'(w) = 0
<=> 18 -2w = 0
<=> w = 9
Substitute w= 9 into the A(W) = 18w – [tex]w^{2}[/tex] , we have the greatest possible area is:
= 18*9 - [tex]9^{2}[/tex]
= 81 square feet
(-3,0) and (4,0)
find the equation of a parabola that opens up and has the following x intercepts
Answer:
(x+3) (x-4) aka x^2 - 1 - 12
Step-by-step explanation:
Debbie wants to plan a monthly budget for her family. Sequence the steps that Debbie needs to take for preparing her personal budget.
Answer:
The steps taken in helping Debbie to prepare her personal budget is explained in the explanation section below.
Step-by-step explanation:
The following is the steps Debbie needs to take in preparing her personal budget
(1) Classify the expenses into those that should be kept away and those that should be kept or utilized (like mortgage payments)
(2)Take note of all the expenses that the family sustain for the month
(3) Reduce the expenses that have been recognize as avoidable
(4)Interpret the monthly budget into a yearly budget to attain long term goals
(5) Put a small part of the money into something that could help the money grow in value over time.
Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?
A. –x + 2y = 16
B. x + 2y = 24
C. x – 2y = –16
D. 2x – y = –2
Answer:
Option C, x - 2y = -16
Step-by-step explanation:
Step 1: Find the slope
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
[tex]m = (11 - 10) / (6 - 4)[/tex]
[tex]m = 1 / 2[/tex]
Step 2: Plug in into point-slope form
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 10) = 1/2(x - 4)[/tex]
[tex]y - 10 = 1/2x - 2[/tex]
Step 3: Solve for x
[tex]y - 10 + 2 = 1/2x - 2 + 2[/tex]
[tex](y - 8) * 2/1 = 1/2x * 2/1[/tex]
[tex]2y - 16 = x[/tex]
Step 3: Put the variables on one side
[tex]2y - 16 - 2y = x - 2y[/tex]
[tex]-16 = x - 2y[/tex]
[tex]x - 2y = -16[/tex]
Answer: Option C, x - 2y = -16
Answer:
THE OTHER GUY IS WRONG OMG
Step-by-step explanation:
PLEASE HELP ASAP!! I WILL BE AWARDING BRAINLIEST!!
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 540.08 yd. What is the surface area of the sphere? Use 3.14 for pi.
Answer:
[tex]92893.76 \text{ Square Yards}[/tex]
Step-by-step explanation:
The widest circle of the sphere circumference of 540.08 yd.
Therefore:
[tex]\text{Circumference of the widest circle, } 2\pi r=540.08\\r=540.08 \div (2*3.14) =86 yd\\$Radius of the sphere =86 yd[/tex]
We proceed to calculate the Surface area of the sphere.
[tex]\text{Surface Area of a Sphere } =4\pi r^2\\Since \: r=86yards\\\text{Surface Area } =4*3.14* 86^2\\=92893.76 \text{ Square Yards}[/tex]
The surface area of the sphere is 92893.76 Square Yards.
Montiah solved a quadratic equation. Her work is shown below.
In which step did Montiah make an error?
Answer:
She forgot to multiply the 3 to the x and the 8 inside the parentheses.
Step-by-step explanation:
Answer:
Step 2
Step-by-step explanation:
Instead of dividing the right side by 3, Montiah multiplied the right side by 3, getting 225 instead of 25
A store offers a 15% discount on a freezer chest that was originally priced at $630. If the sales tax rate is 7.8%, how much must you pay to buy the freezer chest?
Answer:
$577.27
Step-by-step explanation:
When offered 15% discount, buyer will then pay 100-15=85% of the original price hence the price offered by seller will be
0.85*$630=$535.5
Now this price is subjected to a tax of 7.8%, equivalent to 0.078 hence the buyer pays 1.078 of $535.5
1.078*$535.5=$577.269
Rounded off, this is equivalent to $577.27
Please help its due today :)))
The graph below plots the values of y for different values of x:
What does a correlation coefficient of −0.2 say about this graph?
x and y have a strong, positive correlation
x and y have a weak, positive correlation
x and y have a strong, negative correlation
x and y have a weak, negative correlation
Answer:
x and y have a weak, negative correlation
Step-by-step explanation:
the reason that is, is because since the points aren't in a approximate line it is considered weak. Since the line is going from left to right it is considered negative. (hope this helped :)
Answer:
d is correct
Step-by-step explanation:
I took the the test ;)
What is the factorization of the expression below?
36x2 - 25
O A. (9x+ 5)(4x - 5)
O B. (6x + 5)(6x - 5)
OC. (6x - 5)(6x - 5)
O D. (9x- 5)(4x - 5)
Answer:
Answer B is correct
[tex](6x + 5)(6x - 5)[/tex]
Step-by-step explanation:
[tex]36 {x}^{2} - 25 \\ {6}^{2} {x}^{2} - {5}^{2} \\ = (6x - 5)(6x + 5)[/tex]
11 fewer then a number as an algebraic expression
Answer:
x - 11
Step-by-step explanation:
A number stands for an unknown variable in which x takes it placeThe word fewer alerts us to subtraction, thus the minus sign11 fewer than a number is the same as saying a number minus 11.plz help me i don't get how to do this
Answer:
4. -84
5. 480
6. -910
Step-by-step explanation:
product means multiply.
neg x neg = pos
neg x pos = neg
Answer:
The product is multiplication
Step-by-step explanation:
12 times -7= -84
-24 times -20= 480
-130 times 7= 910
Remember a negative times a positive is a negative and a negative times a negative is a positive
what is a word problem for y=3.5x+4
Answer:
You have four dollars in your pocket. You then get 3.50 per hour for working at a restaurant. Write an equation to show the relationship for x the number of yours to y the total earnings you make for working at the restaurant?
Step-by-step explanation:
Hope this helps!
Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplication (3x7) even though the order is “M”, “D” in the acronym?
I need to know the formula for the surface area of a cylinder?!
Answer:
A = 2 π r h + 2 π r 2
Step-by-step explanation:
hope i helped i really want brainleist
Bridget plans to attend 4 cardio classes and 5 weightlifting classes, which will last 328 minutes. Next week, she hopes to attend 4 cardio Classes and 1 weightlifting class, which will last 168 minutes. How long is each class?
Answer:
Time per cardio class: 32 minutes
Time per weightlifting class: 40 minutes
Step-by-step explanation:
Start by creating a system of equations:
let c = the time per cardio class
let w = the time per weightlifting class
4c + 5w = 328
4c + w = 168
Solving for c and w get you 32 minutes and 40 minutes respectively
Each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.
To find out how long each class is, we need to set up a system of equations based on the information given.
Let's denote the duration of a cardio class by C minutes and the duration of a weightlifting class by W minutes.
1. From the first week, we have the equation:
4C + 5W = 328
2. From the second week, we have:
4C + 1W = 168
3. To eliminate C, we can subtract the second equation from the first:
(4C + 5W) - (4C + 1W) = 328 - 168
4W = 160
W = 40
4. Now substitute W back into the second equation:
4C + 40 = 168
4C = 128
C = 32
Therefore, each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.
HELP!!
The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for x and round to the nearest tenth.)
O 314m2
O 62.8m2
78.5m? NA
O 125.6m2
Answer:
78.5 m
Step-by-step explanation:
Area of a circle: πr²
If the diameter of the circle is 10 inches, the radius is 5 inches.
5² = 25
3.14 x 25 = 78.5 m
solve triangle GHI. Round to the nearest hundreth
Answer:
GH is 20
Step-by-step explanation:
21^2+x^2=29^2
441+x^2=841
x^2=400
x=20
Please help me with #2.
Answer:
D
Step-by-step explanation:
please give me the brainliest answer if you can bc im trying to lvl up