We can see here that ranking the four math operations in order of importance, we have:
AdditionMultiplicationSubtractionDivisionWhat is a math operation?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
Addition (+) is the most important of the four operations because it is the foundation of all arithmetic. It is used in everyday life for basic calculations such as adding up a grocery bill or calculating the total cost of a purchase with tax. It is also used in more advanced mathematical concepts such as algebra and calculus.
Multiplication (x) is the second most important operation because it is used to find the total number of items in a group or the total area of a shape. It is also used in more advanced mathematical concepts such as solving equations and finding derivatives.
Subtraction (-) is the third most important operation because it is used to find the difference between two numbers. It is also used in more advanced mathematical concepts such as algebra and calculus.
Division (÷) is the least important of the four operations because it is a reverse operation of multiplication, which is more important and more frequently used. It is used to find the number of times one number is contained within another or the size of a group when the total size and number of groups is known.
All four math operations are important and useful in different ways, but the order of importance is based on how frequently they are used and how foundational they are to other mathematical concepts.
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Can anyone help me ?
Answer:
C) 11
Step-by-step explanation:
Exterior angles in a triangle = the sum of the interior angles of the triangle
Here, the exterior angle is ∠BCT while the interior angles are ∠CAB and ∠ABC
Using the above theorem we can say that ∠BCT = ∠CAB + ∠ABC
Plugging in the given expressions and values of the angles we acquire
9x + 6 = 3x + 2 + 70
==> combine like terms
9x + 6 = 3x + 72
==> subtract 3x from both sides
6x + 6 = 72
==> subtract 6 from both sides
6x = 66
==> divide both sides by 6
x = 11
One angle measures 18°, and another angle measures (6d − 6)°. If the angles are complementary, what is the value of d?
The value of d in the given angles using the concept of complementary angles is; d = 13
How to find complementary angles?Complementary angles are defined as angles that add up to 90 degrees.
Now, we are told that one angle measures 18°, and another angle measures (6d − 6)°. This tells us that;
(6d - 6) + 18 = 90
Expanding the bracket gives us;
6d - 6 + 18 = 90
6d + 12 = 90
6d = 90 - 12
6d = 78
Use division property of equality to divide both sides by 6 to get;
6d/6 = 78/6
d = 13
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Check all that apply
From the trigonometric function sec θ = 13/12, two more functions are derived -
Option C: cos θ = 12/13
Option D: tan θ = 5/12
What is trigonometric function?
Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.
The given trigonometric function is -
sec θ = 13/12
Sec function is written as the ratio of hypotenuse to adjacent.
sec θ = 1/cos θ
Cos function is written as the ratio of adjacent to hypotenuse.
cos θ = 12/13
To find the opposite, apply the Pythagoras theorem -
(Opposite)² = (Hypotenuse)² - (Adjacent)²
(Opposite)² = (13)² - (12)²
(Opposite)² = 169 - 144
Opposite = √25
Opposite = 5
Tan function is written as the ratio of opposite to adjacent.
tan θ = 5/12
Therefore, from sec function, cos and tan function are obtained.
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Find X and Y.
TEACHING TEXTBOOKS GEOMETRY
The value of the variables 'x' and 'y' will be 47° and 27°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Alternate angle - If two lines are parallel then the third line will make z -an angle and z-angles equal angles with the parallel lines.
The equations are given below.
2y = 180° - 126°
2y = 54°
y = 27°
2x + 1 = 180° - 85°
2x + 1 = 95°
2x = 94°
x = 47°
The value of the variables 'x' and 'y' will be 47° and 27°, respectively.
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Which value is equal to 4 square root 20- 3 square root 45?
Answer:-√ 5
Step-by-step explanation:
4√ 20 = 8√ 5
3√ 45 = 9√ 5
8√ 5 - 9√ 5 = -√ 5
Cedric and Insha solved the same equation using the calculations below.
Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.
Which statement is true about their work?
Cedric is correct because he used the inverse of subtraction and added 4.5.
Cedric is incorrect because he should have subtracted 4.5 from both sides instead of adding.
Insha is correct because she added the opposite if 4.5, which is Negative 4.5, to both sides.
Insha is incorrect because she did not add Negative 1.5 + (negative 4.5) correctly.
Answer:d
Step-by-step explanation:
Which function represents the reflection over the x-axis of f(x)=x
The fourth option represents the reflection over the x-axis of f(x)=√x. The graph has been attached below. The solution has been obtained by the concept of reflections.
What is reflection?
A flip is the term for a reflection in geometry. The shape is mirrored in a reflection. The line of reflection is a line across which an image will reflect. A reflection is the shape's mirror image. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way.
We are given the function f(x)=√x.
When we replace x with -x, then the graph of the resulting equation i.e.
f(x)=√-x is captured by reflecting the graph of f(x)=√x vertically across the x-axis.
Thus, the reflection of the function f(x)=√x is a vertical reflection across the x-axis.
Hence, the graph below represents the reflection of the function f(x)=√x which is the fourth option.
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The graph shows membership costs at a gym. How much was the initial membership fee?
Answer: 30$
Step-by-step explanation:
To find the slope of the equation, you can use the formula (y2-y1)/(x2-x1). Plugging the points the question gives us we can get:
(205-100)/(5-2)
= 105 / 3
= 35
Plugging this information along with a point into the formula y = mx + b:
100 = 35*2 + b
100 = 70 + b
b = 30
y = 35x + 30
To double check this is correct:
y = 35 * 5 + 30
y = 175 + 30
y = 205
(5,205) is a point therefore y = 35x + 30 is the equation
Because the x of the graph represents the number of months, the initial membership fee would be when x = 0.
y = 35*0 + 30
y = 30$
Need asap pls broooo
In the given parallelogram, the value of g is 116 degrees and that of h is 64 degrees.
What is parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure. A parallelogram is a type of quadrilateral with opposite pairs of sides that are parallel and equal. The diagram depicts a parallelogram ABCD with AB II CD and AD II BC. In addition, AD = BC and AB = CD. Non-Example: A trapezium is a parallelogram's non-example.
Here,
Since the given figure is parallelogram. Opposite angles are equal.
g=116 degree
h=64 degree
The value of g is 116 degrees and that of h is 64 degrees in the given parallelogram.
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Find the distance between G and H on the number line below -12 and -2
The distance between G and H on the number line -12 and -2 is -10.
What is Distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language .
The phrase is widely used metaphorically to refer to a measurement of the degree of difference between two similar objects since spatial cognition is a rich source of conceptual metaphors in human thought.
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
What is number line?
A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that each real number and each point on a number line relate to one another.
We are given two point G and H which are represented on number line;
The value G = -12 and H = -2
We have to find the distance between them;
So , we can simply subtract these two values of G and H to get the distance between them;
distance = -12-(-2)
= -12 + 2
= -10
Therefore, the distance between G and H on the number line -12 and -2 is -10.
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A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
45 percent of the 8th graders estimated they spend less than an hour a day on social media. The solution has been obtained by using concept of frequency.
What is frequency?
The frequency of a specific value in a set of data is how frequently it appears. Typically, we would keep track of data frequency in a frequency table.
We are given that 17 8th graders spent more than an hour a day on social media and 14 8th graders spent less than an hour a day on social media.
The total 8th graders who spent time on social media is 14 + 17 = 31
The percentage of the 8th graders estimated they spend less than an hour a day on social media is
= 14*100/31
= 45.16%
= 45%
Hence, 45 percent of the 8th graders estimated they spend less than an hour a day on social media.
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Simon is a member of The Mighty Manatees, an outdoor swim team. Every practice, his coach tells him to swim a target number of laps. One day, Simon swims 45 laps before practice is canceled due to a thunderstorm. Simon still has 35 laps left to reach his target number. Use an equation to find Simon's target number of laps.
Simon's target number of laps will be 80.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
In this case, his coach tells him to swim a target number of laps and Simon swims 45 laps before practice is canceled due to a thunderstorm. Simon still has 35 laps left to reach his target number
Let the target number be x. This will be:
x - 45 = 35
x = 45 + 35
x = 80.
The Target number is 80
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What is the equation of the circle with a center located at ( 5, 2) and is tangent at the y-axis?
a. x2 + y2 – 10x – 4y + 4 = 0
b. x2 + y2 + 10x – 4y + 25 = 0
c. x2 + y2 + 10x – 4y + 4 = 0
d. x2 + y2 – 10x – 4y + 25 = 0
The equation of a circle with center located at (5,2) and that is tangent to the y-axis is given as follows:
C. x² + y² - 10x - 4y + 4 = 0.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Considering the center, we have that:
(x - 5)² + (y - 2)² = r².
The circle is tangent to the y-axis, meaning that it passes through the point (0, 2), thus the radius is obtained as follows:
r² = 25.
Then the equation in standard form is given as follows:
x² - 10x + 25 + y² - 4y + 4 - 25 = 0.
x² + y² - 10x - 4y + 4 = 0.
Meaning that option C is correct.
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there are 3 arrangements of the word dad, namely dad, add, and dda. how many arrangements are there of the word probability?
Help please!!! Use distributive property (5k + 2m)(3p + 4s)
By distributive property (5k + 2m)(3p + 4s) this we get 15kp + 20 ks + 6mp +8ms.
What is Distributive Property?It is possible to multiply a single value by two or more values enclosed in a set of parenthesis using the distributive property, an algebraic property.
According to the distributive property, it is necessary to multiply each of the two terms by the factor when adding two terms to a factor. Only then may the addition operation be done. The following is a symbol for this property:
A (B+ C)=AB + AC
When there are three distinct values for A, B, and C.
Example : (5k + 2m)(3p + 4s)
Apply FOIL method:
(a + b) (c + d) = ac + ad + bc + bd
(5k + 2m)(3p + 4s) = 5k . 3p + 5k. 4s + 2m. 3p + 2m . 4s
5k . 3p + 5k. 4s + 2m. 3p + 2m . 4s
Simplify 5k . 3p + 5k . 4s + 2m .3p + 2m .4s : 15kp + 20 ks + 6mp +8ms
= 15kp + 20 ks + 6mp +8ms.
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what is the inequality?
Answer:
X < 250
Step-by-step explanation:
Inequalities:
> Greater/More than
< Less/Fewer than
= Equal to
>= Greater than/More than OR equal to
<= Less than/Fewer than OR equal to
Since it says fewer than, we'll use <
X in this case will be the actual number of people.
We know fewer than 250 will attend, making the inequality
X < 250
Rewrite the expression 7(×-20)
Answer: 7x - 140
The expression 7(x-20) is a product of 7 and a grouping of x-20. To simplify this expression, we use the distributive property, which states that we can multiply the 7 by each term inside the grouping. So, 7(x-20) becomes 7x - 140. This is because 7x is the product of 7 and x, and 140 is the product of 7 and 20.
Step-by-step explanation:
A businessperson is returning from a trip to China and has 337 54 yuan in their wallet. The most current currency conversion rate is 1 US dollar 6.4651 yuan. How much money will the businessperson have when they convert ther
money to U.S. dollars?
O$52.21
O$331.07
O$344.01
O$2182.23
The required money will the businessperson have when they convert the money to U.S. dollars is 5220.96 dollar.
What is currency system?Commodities and services can be exchanged using money. Currency is defined as a unit of account that is issued by a government and is accepted at face value. When bartering, products and services were directly exchanged for one another.
According to question:We know that
1 US dollar = 6.4651 yuan
To find US dollar value of given yuan
1 yuan = 1/6.4651 US dollar
337 54 yuan = 337 54/6.4651 = 5220.96 dollar
Thus, required dollars are 5220.96.
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Answer:
the answer is 52.21 all u gotta do is divide 337.54 by 6.4651 and u get 52.20955592334225 and just round it and u get the answer which is 52.21
Step-by-step explanation:
Find the volume of the rectangular prism . Simplify
A rectangular prism has a volume of 2x ^ 3 + 19x ^ 2 + 24x
What is volume?the volume of the rectangular prism is
The area contained by an object's limits in three-dimensional space is referred to as its volume.
Thus, a rectangular prism having the following dimensions: 2x length, (x2) width, and (x + 2) height
L x B x H = volume
= x× (x +8 )(2x + 3)
= x(x + 8)(2x + 3)
(2x + 3) * x ^ 2 + 8x(2x + 3)
2x ^ 3 + 19x ^ 2 + 24x
The area contained by an object's limits in three-dimensional space is referred to as its volume.
A rectangular prism's volume is thus 2x ^ 3 + 19x ^ 2 + 24x
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what is equalivliant to 4a + (–6b) – 3a + 2b
Answer: a-4b
Step-by-step explanation:
Combine like terms
4a-6b-3a+2b
1a-6b+2b
a-6b+2b
a-4b
Stimultaneous elimination equations
4x + 2y = 10
X+ 2y = 7
The values of x and y on solving the two simultaneous equations are x = 1 and y = 3.
The simultaneous equations to be solved are 4x + 2y = 10 and x + 2y = 7.
Rearranging the above equations, we have,
- 4x - 2y = - 10 -----(A)
x + 2y = 7 -------(B)
Solving them, we have, -3x = -3
x = 1 ------(C)
Substituting (C) in (B), we have,
1 + 2y = 7
2y = 6
y = 3 ------(D)
Now, let us substitute the x and y values in (A) and (B) and then check.
4x + 2y = 10
4 + 2(3) = 10
A is checked.
x + 2y = 7
1 + 2(3) = 7
B is checked.
Thus, the values of x and y are checked to be correct.
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A gym charges its customers an initial membership fee, plus an hourly fee. The graph shows the cost of using the gym
The initial fee charged to customers for using the gym, given the graph showing the charges to customers is $ 20.
How to find the initial membership fee ?To find the initial membership fee, you should look at the y - intercept of the graph.
The y - intercept is the point where the x vale is 0 and this case this point shows the cost when the customers have not worked out in the gym for any hour yet.
This y - intercept is therefore $ 20 as this is the point on the graph where the value of x is 0.
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The question is:
What is the initial fee charged to customers for using the gym?
frankie already has a pair of basketball shoes that he can wear for the tryout, which makes the new pair a
The new pair of basketball shoes become a "desire" because Frankie already owns a pair that he can use for the tryout. Frankie's new basketball shoes would be viewed as a "need" if he didn't already have a pair for the tryout.
When referring to possessing or acquiring specific commodities, people frequently use the terms "want" and "need" interchangeably. In terms of economics, a need is what a person needs in order to survive. If a certain need is not met, a person may get sick or perhaps pass away. On the other hand, a desire is something that a person hopes to achieve in the near or distant future. In the first instance, Frankie is able to attend the tryout in a pair of basketball shoes that he already has. He could wear the shoes he already owns, thus the new pair of shoes would be his desire. In contrast, Frankie needs a new pair of sneakers in the second scenario because he doesn't have any basketball shoes for the tryout.
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groups of 25 and more receive a 20% discount to the zoo. tickets range in price from $10.00 to $15.00 depending on your age. what is the range of the ticket prices after the discount is used
The range of the ticket prices after the discount is used is 1.
What is range?The difference between the lowest and highest values, is considered as range.
Given that, groups of 25 and more receive a 20% discount to the zoo. tickets range in price from $10.00 to $15.00 depending on your age.
The range of a data is given by, difference of lowest element and largest element.
Here, 20% discount is to be given, and ticket price ranges from $10 to $15
20% of 10 = 2
And
20% of 15 = 3
Therefore, range = 3-2
= 1
Hence, the range of the ticket prices after the discount is used is 1.
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The circumference of a circle is 25π in. What is the area, in square inches? Express your answer in terms of pi
The area, in square inches, will be 156.25π
You would require the radius in order to get the circle's area. You would enter the circumference (25) into the equation for the circle's circumference, which looks like this:
C = 2πr
25π = 2πr
Then you would figure out how to solve for r. (the radius)
25π = 2πr
12.5π = πr
12.5 = r
After that, you would enter the radius into the equation for a circle's area.
A = π(r^2)
A = 12.5^2π
A = 156.25π
Due to the fact that meters were used as the unit of measurement, your response would be 156.25 meters.
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Candice is an interior designer and she is currently trying to change the look of a room. Candice found that the area of a room could be given by the expression 32+2 and that the area of a rug, which she wants to spread on the floor, is given by the expression 2+24−144. What expression represents the area of the room not covered by the rug?
The expression represents the area of the room not covered by the rug is A(x) = 2x² - 22x + 144.
Area of room = 3x² + 2x
Area of rug = x² + 24x - 144
We have to find the area of the room not covered by the rug.
Area of the room not covered by the rug = Area of the room - Area of rug
= (3x² + 2x) - (x² + 24x - 144)
= 3x² + 2x - x² - 24x + 144
= (3x² - x²) + (2x - 24x) + 144
= 2x² - 22x + 144
Hence, 2x² - 22x + 144 is the required expression for the area of the floor not covered by the rug.
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Does anyone know the answer to this?? (pls give right answer I really need this one to be correct)
a) Equation would be 5x + (x - 6) + (x - 6) = 180°
b) m∠1 = 180° and m∠2 = 30°
What is the measure of angle?
The term "degree measure" refers to the measurement of an angle in degrees. Because one entire revolution equals 360°, it is divided into 360 parts. Each stage of the revolution represents a degree.
a) The angle measures in a triangle must add up to 180°.
Therefore, the equation to find x is:
5x + (x - 6) + (x - 6) = 180°
b) Solving for x, we get:
x = 36
Therefore, angle m∠1 = (5x) = (5 * 36) = 180° (major angle)
angle m∠2 = (x - 6) = (36 - 6) = 30° (minor angle)
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consider the equation y=100x+500 where y is the number of park visitors and x is the average daily temperature in degrees Fahrenheit.
these are the answer choices
A. 500 people will go out to the park when its 100F
B. even if its 0F, 500 people will still go to the park
C. when it is 0F, 100 people will go to the park
Answer:
A. 500 people will go out to the park when its 100F is incorrect.
i don’t know this answer i need help
The price of apples is $0.35 per apple. If Kaitlyn paid $14.35 at the grocery store where she bought some apples and spent $12.00 for the rest of her groceries, write an equation that represents her shopping trip
Answer: 0.35x + 12.00 = 14.35
Explanation: You would make sure to include the x since we are unsure of how many apples to bought, we know the total it will be at the other side of the equal sign, she spent 12 on her groceries so we would add that to the number of apples she got.