An exponent of a number appears how many times we are multiplying a number by itself. For example, 3³ means we are multiplying 3 four times. Its expanded form is 3×3×3. An exponent is defined as the power of a number.
The exponent of a number defines how many times the number is multiplied by itself. For example, 2×2×2 can be written as 2³, as 2 is multiplied by itself three times. Here, 2 is said to be the "base" and 3 is said to be the "exponent" or "power." In general, [tex]x^{n}[/tex] this means that x is multiplied by itself by n times.
Example : 5*5 = 5²
An expression that means repeated multiplication of the same factor is called a power.
The number 5 is said to the base and the number 2 is said to the exponent.
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Urgent : Need Help will Mark Brainliest
The function a(g)=10-log base 3(g+1) represents the home attendance of a football team in hundreds depending on the number of home games, g.
How many people will attend the second home game?
How many people will attend the eighth home game?
At which game were there 500 attendees? Does this answer seem reasonable based on context of the problem?
The number of people that will attend each game is given as follows:
Second game: 9,000.Either game: 8,000.The number of attendees will be of 500 on the 857th game, which does not make sense in the context of this problem, as a football team plays at most nine home games during a season. (taking the NFL in context).
What is the logarithmic function?The logarithmic function for this problem is defined as follows:
[tex]a(g) = 10 - \log_3{(g + 1)}[/tex]
Hence the number of people that will attend the second home game, when g = 2, is given as follows:
[tex]a(2) = 10 - \log_3{(2 + 1)}[/tex]
a(2) = 10 - 1
a(2) = 9.
Hence 9,000 people, as a(g) is measured in thousands.
The number of people that will attend the eight home game is given as follows:
[tex]a(8) = 10 - \log_3{(8 + 1)}[/tex]
a(8) = 10 - 2
a(8) = 8. (8,000, considering the unit of a(g)).
The game in which 500 people will attend is obtained as follows:
[tex]0.5 = 10 - \log_3{(g + 1)}[/tex]
[tex]\log_3{(g + 1)} = 9.5[/tex]
Applying the cube to both sides, we have that:
g + 1 = 9.5³
g = 857.
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Given f(x) = x^2 - 6x + 1, what is the domain of f(x)?
A,B,C or D?
Any values of x will result in a real value of the quadratic equation f(x), which is written as f(x). Your minimum score is therefore (3,1).
what is domain ?A function's acceptable range of values is referred to as its domain. These numbers serve as representations of the x-values of a function like f. (x). The set of potential values that a function can be applied to is known as its domain. When the x value is inserted, the method returns the value that is contained in this set. A function's definition is Y = f, where x is the independent variable and y is the dependent variable (x). If it is possible to successfully use a value of x to generate a single value of y using the value of x, that value of x .
given
Let y = f(x) be a function where x and y are the independent and dependent variables.
then that selected x-value is said to belong to the domain of f.
Any values of x will result in a real value of the quadratic equation f(x), which is written as f(x). Your minimum score is therefore (3,1).
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the rate of change of a linear function is 4 what could be the two points on the line of this function
For the rate of change of 4 the two points will be A(2,8) and B(4,16).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the rate of change of the linear function is 4. The coordinates of the two points will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = ( 16 - 8 ) / ( 4 - 2 ) = 8 / 2 = 4
Compare the coordinates,
( x₁, y₁ ) = ( 2, 8 )
( x₂, y₂ ) = ( 4, 16 )
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which word does not belong with the other guitar,flute,violin,cello
One Kung Pao chicken and two Big Macs provide 2620 calories. Two Kung Pao chickens and one Big Mac provide 3740 calories. Find the caloric content of each item.
One Kung Pao chicken contains 1620 calories. One Big Mac contains 500 calories.
What is an equation?
A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Assume that one Kung Pao chicken content x calories and one Big Mac content y calories.
Given that one Kung Pao chicken and two Big Macs provide 2620 calories.
Two Kung Pao chickens and one Big Mac provide 3740 calories.
Now using the variable finding calories:
One Kung Pao chicken and two Big Macs provide x + 2y calories.
Two Kung Pao chickens and one Big Mac provide 2x + y calories.
The system of equations is:
x + 2y = 2620 ......(i)
2x + y = 3740 .....(ii)
Using the elimination method to solve the given equations.
Multiply equation (i) by 2 and subtract it from equation (ii)
2x + y = 3740
2x + 4y = 5240
(-) (-) (-)
_____________
-3y = -1500
Divide both sides by -3:
y = 500.
Putting y = 500 in equation (i)
x + 2(500) = 2620
x + 1000 = 2620
x = 1620
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What is the area of the trapezoid?
19 cm
30 cm;
31 cm
32 cm
square centimeters
Is it possible to have a triangle with the following sides 6cm 7cm 2cm?
We can form a triangle with sides 6cm, 7cm, and 2cm.
Now, According to the question:
We know that:
What is triangle inequality rule?
The triangle inequality theorem states that for any given triangle, the sum of the two sides is always greater than the third side. The Triangle is a polygon with three line segments as its boundaries.
Suppose A, B and C are three sides of a triangle, then by using triangle inequality rule, A + B > C then A, B and C make a triangle.
We have the sides:
6cm, 7cm, 2cm
Here,
6 + 7 > 2
Hence, we can form a triangle with sides 6cm, 7cm, and 2cm.
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What is equality in Class 8?
In Class 8, equality is likely to be defined as a state of being where all individuals are treated fairly and have the same rights, opportunities, and access to resources, regardless of factors such as race, gender, socioeconomic status, and other characteristics. Equality is often contrasted with inequality, which is a state of being where individuals or groups have unequal access to resources and opportunities.
In class 8, students may learn about different types of equality, such as:
Political equality: This refers to the idea that all individuals have an equal say in the political process and equal representation in government.
Social equality: This refers to the idea that all individuals have the same rights and opportunities, and are treated with the same respect and dignity, regardless of their background or characteristics.
Economic equality: This refers to the idea that all individuals have access to the same economic opportunities and resources, regardless of their background or characteristics.
Educational equality: This refers to the idea that all individuals have access to quality education, regardless of their background or characteristics.
Equality of opportunity: This refers to the idea that all individuals have an equal chance to succeed and reach their full potential, regardless of their background or characteristics.
In class 8, students may also learn about the importance of equality and the ways in which inequality can negatively impact individuals and society. They may also learn about different strategies for promoting equality and reducing inequality in society.
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A alone can do piece of work in 6 day and B alone in 8 day. A and B undertook to do it for $3200. With the help of C, they completed the work in 3 day. How much i to be paid to C?
If A alone can do a piece of work in 6 days and B alone in 8 days, then A and B undertook to do it for $3200 and complete the work in 3 days with the help of C, then C would be paid 400 dollars.
Therefore the answer is $400.
This is a work and time problem that can be solved using the concept of rate of work. Let's call the amount to be paid to C as "x".
A can do 1 piece of work in 6 days. Therefore, his rate of work is 1/6.
B can do 1 piece of work in 8 days. Therefore, his rate of work is 1/8.
Amount of work A and B can do in 3 days is
= 3×(1/6) + 3×(1/8)
= 3×(1/6)×(4/4) + 3×(1/8)×(3/3)
= 12/24 + 9/24
= 21/24
= 7/8
So amount of work C doing is
= 1 - 7/8
= 1/8
As C do 1/8 amount of work, the amount C would receive is
= 3200 × (1/8)
= 400
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what is the weight of a square if a triangle weighs 4 grams?
Explain your reasoning
HHH
0
8. 2x
C. 4x
D. 2x
E. 4x
Answer: i believe is c or d i not 100% sure
A vertical number line is given.
A vertical number line starting at negative 2 with tick marks every one half unit up to positive 4. The value 1.25 is labeled.
When scuba diving, a student recorded the value plotted in the image. If 0 represents sea level, which of the following is true about the value?
The student is −1.25 ft above sea level, and the absolute value is 1.25 ft.
The student is −1.25 ft below sea level, and the absolute value is 1.25 ft.
The student is 1.25 ft above sea level, and the absolute value is 1.25 ft.
The student is 1.25 ft below sea level, and the absolute value is 1.25ft.
The true statement regarding the number line and the absolute value is given as follows:
The student is 1.25 ft above sea level, and the absolute value is 1.25 ft.
How to interpret the number line and the absolute value?The number line gives the heights relative to the sea level, and thus their signal are interpreted as follows:
Positive numbers: heights that are above sea level.Negative numbers: heights that are below sea level.The absolute value of a number represents the distance that the number is from the origin. In the context of this problem, it will give the distance of the measure from the sea level of 0 ft.
The height is given as follows:
1.25 ft.
Which is a positive measure, hence the correct option is given by the third option.
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What are the 3 types of triangles according to sides describe each?
Three types of triangles according to scalene, isosceles and equilateral triangle.
What is meant by scalene?
Every triangle side in a scalene triangle has a different length.Two triangle sides that are of the same length are called isosceles triangles.All of the sides of a triangle are the same length in an equilateral triangle.An equilateral triangle naturally has three equal internal angles and three equal length sides because, as the triangles above demonstrate, the length and internal angles of a triangle are closely connected.A scalene triangle is a triangle whose three sides are all of various lengths and whose three angles are all of different sizes. Scalene triangle angles always add up to 180 degrees and adhere to the angle sum property.To learn more about scalene refer to
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What is the length of the long leg of a 30 60 90 triangle?
The longer leg is the one that faces the 60-degree angle.
Any triangle with a 90-degree angle is considered a right triangle. A unique variety of right triangle with a 30-degree angle and a 60-degree angle in addition to the right angle is known as a 30-60-90 triangle.
Triangle Properties 30-60-90
A triangle with sides of 30-60-90 can be recognized by how they relate to the angles.
The shorter leg is the one that faces the 30-degree angle.
The longer leg is the one that faces the 60-degree angle.
The hypotenuse is the side that faces the right angle of 90 degrees.
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Find the vale of :
sin 1230°
Answer:
1/2
Step-by-step explanation:
I think it is 1/2 Sorry If i am Wrong
solve this for me. and get a brainlist.
Answer:
below
Step-by-step explanation:
Isosceles triangle have TWO equal legs....so
Leg + leg + base = perimeter
(4x-4) + ( 4x-4) + x = 37
9x -8 = 37
9x = 45
x = 5
you are standing 10 feet from the base of a tree. the angle of elevation to the top of the tree is 70 degrees. what is the height of the tree
The height of the tree is 17.32 feet.
What is height?Height is the measurement of a person's or object's vertical distance from the ground. It is usually expressed in units of meters or feet. Height is an important factor in determining physical characteristics, such as BMI, or Body Mass Index. Height can also be used to estimate the age of a person, and to measure the effects of a growth-promoting treatment. Height is also used in many sports, as it is often an advantage for athletes.
Using the tangent formula, the height of the tree is approximately 17.32 feet. To calculate this, take the tangent of 70 degrees (which is 1.19175) and multiply it by the 10 feet of distance.
The result is 11.9175 feet, which when rounded to the nearest hundredth is 17.32 feet.
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How many images are formed If two plane mirror are position at an angle of 450?
There are seven images are formed If two plane mirrors are positioned at an angle of 45°.
The formula for the number of images formed by two plane mirrors placed at a certain angle is
⇒360/n
where n=angle between the mirrors
The most important thing to remember is that every time the number of images formed is only ODD numbers, if the result is even then you need to subtract 1 from that.
if it is odd u need not subtract, since the number of images ever formed is only odd.
so for an angle, of 45° the number of images formed are:
⇒360/45=8
in this case, since the images formed are even u need to subtract 1 from it i.e
8–1=7
So, the number of images formed is 7.
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How do you dilate by a scale factor of 3 4?
16 is a scale factor of 3 4
What is scale factor ?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).The scale factor can be calculated when the new dimensions and the original dimensions are given. The basic formula to find the scale factor of a figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.Scale factor is a number that is used to draw the enlarged or reduced shape of any given figure. It is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It helps in changing the size of the figure but not its shape.To learn more about scale factor refers to:
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the first term in this number pattern is 5. 5,10,15,20,25,30...
The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1 so options (A), (B), and (E) will be correct.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint. The hint which is present in a given pattern hides in the pattern only.
Given the two patterns.
In the first pattern, each term become by adding 5 so option (A) is correct.
In the second pattern, each term become by adding 10 so option (B) is correct.
The term in the second pattern becomes by multiplying 2 in pattern 1
For example 5× 2 = 10 and 10 × 2 = 20 so option (E) will be correct.
Hence, "The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1".
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Simplify the expression (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2. Assume a not-equals 0, b not-equals 0.
Negative StartFraction 1 Over 16 a squared b squared EndFraction
StartFraction a squared b squared Over 4 EndFraction
Negative 16 a squared b squared
16 a squared b squared
The simplified form of the (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2 expression is Negative StartFraction 1 Over 16 a squared b squared EndFraction. Option A
What are index forms?Index forms of a number can simply described as can be defined as that number written as an exponential expression.
They are also referred to standard form and scientific notation.
These index forms could also be written as single numbers raised to an exponent.
From the information given, we have that;
1//4 ab superscript negative 2
This is represented as;
(1/4 ab)⁻²
Now, expand the bracket, we have;
(16 a⁻²b⁻²)
This is further simplified to
1/16 a²b²
Hence, the expression is 1/16 a²b²
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A girl answered 38 questions on a reading app named lightsail.
The system indicated that she was 60% complete
How many questions are there in total?
Answer:
its either 63 or 64, im not really sure
Please help solve this, my last two brain cells aren't working rn
Answer:
dude my brain cells are perishing
-2/3 is your answer my guy
have fun
Step-by-step explanation:
The measures of the interior angles of a convex octagon are 45x,40x, 155, 120, 155, 38x, 158x, and 41x. What is the measure of the smallest interior angle
I need help … please
Check to see if there is a constant rate of change to determine if a table of values represents a linear function. You're looking at a linear function if there is! You can learn how to determine whether a table of values represents a linear function in this tutorial.
Two linear equations are what?If an equation is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Which two types of equations are there?Identities and conditional equations are the two types of equations.
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Is root 3x² 2x a polynomial?
The given expression [tex]\sqrt{3}x^{2} -2x[/tex] is a polynomial as the power of x are 2 and 1 which are whole numbers .
What are Polynomials ?
The Polynomials are defined as an expression that are composed of variables, constants and exponents, which are combined using mathematical operators .
For Example : [tex]x^{2} +4x[/tex] .
The Expression can be called as a polynomial if the power of variable present in the expression is a whole number .
The expression is given as : [tex]\sqrt{3}x^{2} -2x[/tex] ,
we can see that , in the first term the power of x is 2 , which is a whole number , and
in the second term the power of x is 1 , which is also a whole number .
Therefore , the expression [tex]\sqrt{3}x^{2} -2x[/tex] is a polynomial .
The given question is incomplete , the complete question is
Is [tex]\sqrt{3}x^{2} -2x[/tex] a polynomial ?
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Simon's photo album has 8 photos of his car and some photos of his motorbike
He replaced some of the photos of his motorbike with some more photos of his car.
The number of photos of his car became 12. The ratio of the number of photos of his car to his motorbike became 3:5. How many photos of Simon's bike was there in the album ORGINALLY?
There were 24 photos of Simon's motorbike in the album originally.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Let x be the number of photos of Simon's motorbike in the album originally.
We know that the number of photos of his car became 12, so the number of photos of his car originally was 8.
We also know that the ratio of the number of photos of his car to his motorbike became 3:5.
So the number of photos of his car and his motorbike originally was x-4.
We can set up the following equation:
12/(x-4) = 3:5
We can cross-multiply and simplify to get:
3x - 12 = 60
3x = 60 + 12
3x = 72
x = 72/3
x = 24
Hence, originally there were 24 photos.
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What are the 6 basic graphs?
The six different types of graphs are frequency distribution graphs, exponential graphs, logarithmic graphs, trigonometric graphs, and statistical graphs (such as bar, pie, and line graphs).
A vertical and horizontal line connect at the origin to form a simple two-dimensional graph. The x axis is horizontal, whereas the y axis is vertical. The x and y axes in basic line graphs are each subdivided into uniformly spaced subdivisions and given integer values.
There are eight primary types of graphs: linear, power, quadratic, polynomial, and they all aid in organising the presentation of data or information.
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After allowing a discount of 20% on the marked price then
levying 10% VAT, a radio was sold. If buyer had paid Rs.320 for VAT how much had he got the discount?
Amount of discount allowed = 640 Rs.
What is VAT?VAT meaning value added tax that is attached to an item of product while bought by the buyer and also in each stage of production, distribution level. It is almost similar to a sales tax that is paid within the item price.
What is the value of discount?
given, discount allowed = 20% on the market price.
VAT = 10% on the market price.
Buyer paid as VAT = 320 Rs
Assume, market price of radio = X Rs
now amount of discount = 20/100× X = 0.2X
amount of VAT = 10/100×X = 0.1X
it is said that VAT paid by buyer = 320 Rs
now 320 = 0.1X
X = 320 / 0.1 = 3200 Rs
market price of radio = 3200 Rs
amount of discount = 20/100× 3200 = 640 Rs
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To get snacks for a class trip, Clare went to the “bulk” section of the grocery store, where she could buy any quantity of a product and the prices are usually good.
Clare purchased some salted almonds at $6 a pound and some dried figs at $9 per pound.
She spent $75 before tax.
If she bought 1 pounds of figs, how many pounds of almond did she buy?
-9 + (-27x) please help
Answer:−
-9−27x
Step-by-step explanation: