What is the exponent 3 called?

Answers

Answer 1

The exponent 3 is called the power or index. It is the number that indicates how many times the base number (in this case 3) is multiplied by itself.

To determine this

For example, 3³ means 3 multiplied by itself 3 times, or 3 x 3 x 3 = 27. So 3 is the base number and 3 is the exponent or power.

In mathematical notation, the exponent is written as a small number or variable above and to the right of the base number, with a caret symbol (^) separating them. For example, 3³ is written as 3³, and x² is written as x².

Additionally, in mathematics, exponents are also used to represent the number of times a number is multiplied by itself, the exponent number represents how many times the number is being multiplied.

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Related Questions

How many square meters are in 280 square centimeters





Answers

We can perform a change of units to see that 280 square centimeters is equivalent to 0.028 square meters.

How many square meters are in 280 square centimeters?

We want to perform a change of units between square centimeters and meters.

Remember the relation:

100cm = 1m

Now we can square both sides of that equation, then we will get:

(100 cm)^2  = (1m)^2

10,000 cm^2 = 1m^2

Then if we have a measure in square centimeters, to transform it into square meters we need to divide that measure by 10,000.

Then:

280 cm^2 = (280/10,000) m^2 = 0.028 m^2

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Suppose one friend decided to pay for a bag of pretzels
and a drink for all 4 of them.
If x equals the cost of the pretzels and y equals the cost of
the drink, what expression represents the total cost?
A 4+x+y
B 4(x+y)
c 4x+y
D x+4y

Answers

Answer:

C

Step-by-step explanation:

4x is really just 4 times the cost of the drinks +the cost of the pretzel bag so ita 4x+y

C is the answer……

Explanation: answer c represents the total coast

e.
d.
C.
b.
a.
12
Original
Fractions
47 35 59 23 14207956 5238
Common
Denominator
35
Equivalent Fractions
> or <
+11
4
7
9
5
12
3.5

5
6
3.8
ble to help you rewrite the problems with common denominators. Then solve.

Answers

The fractions with the common denominators are given as follows:

4/7 = 36/63.5/9 = 35/63.

The inequality relating the fractions is given as follows:

4/7 > 5/9.

What is a fraction?

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.

The fractions for this problem are given as follows:

4/7.5/9.

The denominators are given as follows:

7 and 9.

The least common multiple of 7 and 9 is given as follows:

7 x 9 = 63.

Hence the equivalent fractions are given as follows:

4/7 = 36/63. (63/7 = 9, hence both the numerator and denominator are multiplied by 9).5/9 = 35/63 (63/9 = 7, hence both the numerator and denominator are multiplied by 7).

The equivalent fractions have the same denominator, while the equivalent fraction to 4/7 has the greater numerator, hence the inequality is given as follows:

4/7 > 5/9.

Missing Information

The problem is given by the image presented at the end of the answer.

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Look at the image down below

Answers

Using the concept of ratios, the constant of proportion between middle school and high school is 3/4

What is Proportionality

Proportionality is a fundamental concept in mathematics and physics. It is a relationship between two or more variables where a change in one causes a proportional change in the other. In other words, the ratio between the two remains constant. Proportionality is an important concept in mathematics because it is used to make predictions and solve problems. The constant of proportionality is the ratio between the two variables that remain constant in a proportional relationship.

To determine the constant of proportionality in this relationship, we can write an equation in the form

y = kx

k = constant of proportion

Or we can easily use ratio to find the constant of proportion

Number of girls in middle school = 6

Number of girls in high school = 8

The ratio = 6/8 = 3 / 4 = Option B

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Unit 11: Volume & Surface Area
Homework 2: Area of Sectors


Need help with 9 an 10

Answers

The area of sector in question 9 is 141.87 ft² and the area of sector in question 10 is 107.70 m².

What is the area of sector in circle?

A circle is a collection of points that are all equally distance from the circle's centre. The radius is the usual distance a circle travels from its centre to its point. The circle's centre (o) and radius (r) serve as its definition (r).

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

Given in question 9, r = HK = 25 ft

angle of sector = 26°

so the area of sector A₉ = (26°/360°)π*r²

⇒ A₉ = (26°/360°)* 22/7 * (25)²

⇒ A₉ = (26°/360°)* (22 * 625)/7

⇒ A₉ = 357,500/2520

⇒ A₉ = 141.87 ft²

Given in question 10, SR = 26 m

⇒ r = ST = SR/2

⇒ r = 26/2 = 13 m

angle of sector = 73°

so the area of sector A₁₀ = (73°/360°)π*r²

⇒ A₁₀ = (73°/360°)* 22/7 * (13)²

⇒ A₁₀ = (73°/360°)* (22 * 169)/7

⇒ A₁₀ = 271,414/2520

⇒ A₁₀ = 107.70 m²

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In your own words define energy transformation

Answers

change of energy from one form to another

Solving systems of equations by substitution worksheet
1. y = 6x-11
-2x-3y = -7
2. 2x-3y = -1
y = x-1

Answers

Solving systems of equations by elimination

1. steps to find the value of x

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate y:

-6x+y= -11 | times -3| becomes 18x-3y=33

18x-3y=33

-2x-3y = -7

y in the equation can be eliminated to become:

20x=40

x=40/20

x=2

steps to find the value of y:

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate x:

-2x-3y = -7 | multiplied by 3| becomes -6x-9y=-21

-6x+y= -11

-6x-9y=-21

x in the equation can be eliminated to become:

10y=10

y=-10/10

y=1

2.

1. steps to find the value of x

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate y:

-x+y=-1| times -3| to 3x-3y=3

-2x-3y = -1

3x-3y=3

y in the equation can be eliminated to become:

-5x=-4

x=4/5

Steps to find the value of y:

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate x:

-x+y=-1| multiplied by 2| becomes -2x+2y=-2

-2x-3y = -1

-2x+2y=-2

x in the equation can be eliminated to become:

-5y=1

y=-1/5

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Which graph shows a system of equations with the solution (5, -3)?

Answers

Right-hand bottom graph shows a system of equations with the solution (5, -3).

What is Graph?

A diagram that depicts the connection between two values, measures, or other objects as a line or curve.

According to the inquiry,

Due to the fact that the two lines meet at the position where they do, the graph on the bottom right depicts a system of equations with the answers (5, -3) (5, -3).

Therefore, the proper answers to the problem are represented by the bottom right.

Right-hand bottom graph has the proper equations and their answers (5,-3).

Right-hand bottom graph shows a system of equations with the solution (5, -3).

The complete question is

Which graph shows a system of equations with the solution (5, -3)?

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why is there a limit

Answers

Term limits have been approved almost everywhere they’ve been on the ballot.

Are term limits helpful?

However, the evidence suggests that at the margin, term limits are helpful to the cause of individual liberty. Elhauge’s report showed that term limits lessen the influence of seniority. His research demonstrated that long-term lawmakers from both major parties vote for more bureaucracy than do lawmakers who have been in office for shorter times.

Therefore, term limits have been approved almost everywhere they’ve been on the ballot

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How do you write 8x8x8x8 in exponential form?

Answers

The exponential form of given expression "[tex]8 \times 8 \times 8 \times 8[/tex]" is [tex]8^{4}[/tex] , and the value of this exponential expression is 4096 .

The exponential expression is given as : [tex]8 \times 8 \times 8 \times 8[/tex] ;

we have to represent the given expression in exponential Form ,

The Law Of Exponents states that , when multiplying the numbers having same base and different exponents , then the base is kept same and the exponents are added ,

So , According to  Law Of Exponents ,

the given expression can be written in exponential form as :

⇒ [tex]8 \times 8 \times 8 \times 8[/tex] ;

⇒[tex]8^{1+1+1+1}[/tex]

⇒ [tex]8^{4}[/tex] .

So , the exponential form is [tex]8^{4}[/tex] .

and the value of this expression is = 4096 .

Therefore , the exponential form of [tex]8 \times 8 \times 8 \times 8[/tex] is 8⁴ .

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How do you find the midpoint between any two points using only their coordinates?

Answers

To find the midpoint between any two points in a plane using only their coordinates, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if we have two points (-2,8) and (4,10)

(x,y) = ((-2 + 4) / 2, (8 + 10) / 2)

(x,y) = (1,9)

The midpoint of the given points (-2,8) and (4,10) is (1,9).

It's worth noting that this formula can be adapted for three-dimensional points, where the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Solving a Mixed-Degree
Consider the following system of equations:
10 + y = 5x + x2
5x + y = 1
The first equation is an equation of a
The second equation is an equation of a
What are the solutions of the system?

Answers

Answer:

The solutions are:

(1,-4), and (-11,56)

Step-by-step explanation:

10 + y = 5x + x^2

5x + y = 1

Rearrange both equations to isolate y:

y = x^2 + 5x - 10

y = -5x+1

Since y=y, we set set the right sides of both equations equal to each other:

-5x+1 = x^2 + 5x - 10

Rearrange

-x^2 - 10x + 11 = 0

x^2 +10x - 11 = 0

Factor

(x+11)(x-1) = 0

x = -11 and 1

Use these two values of x to find y.  We'll use the simpler equation of

y = -5x+1.

 x     _y

 1      -4      (1,-4)

-11      56    (-11,56)

See the attached graph for proof.

In LMN MN=15cm, LP is perpendicular to MN, LP=100 angle PLN=PNL. Calculate the length of LN​

Answers

The length of LN is approximately 101.12 cm.

What is the length of the hypotenuse?

In a right triangle, the hypotenuse is the side opposite to the right angle and it is the longest side of the triangle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right triangle, the length of the hypotenuse is given by the Pythagorean theorem: c^2 = a^2 + b^2.

In this case, we are given that LN is the hypotenuse, and LP and MN are the other two sides.

We are also given that LP = 100 and MN = 15, and that angle PLN = PNL which means that the triangle is a right triangle.

We can use the Pythagorean theorem to find the length of LN:

LN^2 = LP^2 + MN^2

LN^2 = 100^2 + 15^2

LN^2 = 10000 + 225

LN^2 = 10225

LN = √10225

LN ≈ 101.12 cm

So the length of LN is approximately 101.12 cm.

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What is section formula and midpoint formula?

Answers

The section formula helps to find out the coordinates of points that divide the line in the m:n ratio whereas the midpoint formula helps us to find the midpoint of a line.

The section formula is used in geometry to find out centroid, incenters, etc. It is of two types: Internal division and external division. These types depend on the position of point P.For a point P(x,y) dividing line a(a,b) and B(c,d) in ratio m:n, The

Internal division section formulae is-  P(x)=(c.m +a.n)/m+n ,                P(y)=(d.m+b.n)/m+nExternal division section formulae is-  P(x)=(c.m - a.n)/m-n ,                P(y)=(d.m-b.n)/m-n

The midpoint formula is used to find the center of a line or a figure. It is a mathematical equation used in geometry and economics. On a line from point (x1,y1) to (x2,y2) the midpoint P= (x1+y1)/2 , (x2+y2)/2. It divides the line in 1:1 ratio.

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How do you write 10x10x10x10 in exponential form?

Answers

Answer:

10^4

Step-by-step explanation:

10= 10^1
10x10 = 10^2 (2 10s)
10x10x10=10^3 (3 10s)
10x10x10x10=10^4 (4 10s)
basically the number of 10s you are multiplying will be the number of exponents you will use in this case.

Rewrite 5 square root 3^4 as an expression with a rational exponent. Then mark this number on the graph of f (x) = 3^x. Explain how you know where to place it.

Answers

Step-by-step explanation:

the nth root of something can be expressed as 1/n as exponent.

e.g. sqrt(2) = 2^(1/2).

so, the 5th root of 3⁴ = 3^(4/5)

for f(x) = 3^x

that means that x = 4/5 = 0.8.

so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.

that is the desired point.

Which statements are true about the volume of the triangular pyramid shown? Select two choices. (Recall the formula V = one-third B h.)

A triangular pyramid. The base has a base of 8 feet and height of 2 feet. The pyramid has a height of 6 feet.

[Not drawn to scale]

The value of h in the formula V = one-third B h is 2 ft.
The area of the base, B, is 8 feet squared.
The sum of the areas of the faces can find the volume.
The volume is 16 feet squared.
The expression One-third (8) (2) (6) can be used to find the volume of the pyramid.

Answers

The correct statements are,

The area of the base, B, is 8 feet squared.

The expression one-third (8) (2) (6) can be used to find the volume of the pyramid.

What is a triangular pyramid?

A tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The tetrahedron is the simplest and only regular convex polyhedron with less than five faces.

Given that a triangular pyramid. The base has a base of 8 feet and a height of 2 feet. The pyramid has a height of 6 feet. The volume of the triangle is calculated as,

The area of the base,

A = 1/2 x b x h

A = 1/2 x 8 x 2

A = 8 feet

The volume will be calculated by the formula,

Volume = 1 / 3 x Base are x h

Volume = 1 / 3 x 8 x 2 x 6

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11
1 point
Which is the slope of the proportional relationship?
3/4
2
1/2
4/3
X3456
Y
3 6
69
8
5 10
6 12

Answers

Answer:

The number line that represents the inequality 6x - 12 > -6 is (D)

How to determine the number line?

The inequality is given as:

6x - 12 > -6

Add 12 to both sides

6x > 12 - 6

Evaluate the difference

6x > 6

Divide both sides by 6

x > 1

The number line that represents the above inequality is (D)

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The boatbill is present in a density of at least one pair per 20 acres at the same time that two different types of plants are dominant. What are these plants?.

Answers

The two types that the boatbill will dominate are grasses and shrubs according to the attached table.

What is density?

The density of an item is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter). “Density = mass divided by volume.” Density is a compound metric that tells us about an object's mass in proportion to its volume. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Density Symbol: D or ρ Density Formula: = m/V, where is the density, m is the object's mass, and V is its volume.

Here,

According to the accompanying data, the boatbill will predominate among grasses and bushes.

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10 packages of bacon cost $20.50 at the grocery store. How much will 1 pack of bacon cost?

A.$2.05
B.$2.25
C.$2.00
D.$2.10

Answers

Answer: $2.05

[tex]$20.50/10=2.05[/tex]

Let f(x) = |x| + 2

The graph of f(x) is transformed into the graph of g(x) by a translation of 3 units right and 1 unit up.

What is the equation for g(x)?

45 points!!!

Answers

The required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given equation of function f(x) = |x| + 2

The above function is an aboslute function, so in order to translate the function right, the function after transformation will be as |x - 3|  + 2, we subtract 3 from x to translate in the horizontal x-axis.
Now,
Add + 1 to the function to translate it 1 unit up,
The function becomes,
g(x) = |x - 3| + 3

Thus, the required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

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What is the difference between factor theorem and remainder theorem Class 9?

Answers

The remainder theorem states that the value of f(a) is equal to the remainder for any polynomial f(x) when divided by the binomial xa. The factor theorem states that (xa) is a factor of f(x) and vice versa if an is a zero of a polynomial f(x).

A special example of the polynomial remainder theorem is the Factor theorem. So, according to the factor theorem, a polynomial has a factor if and only if: If and only if f (M) = 0, the polynomial x-M is a factor of the polynomial f(x). According to the Remainder Theorem, the remainder will be if a polynomial (x) is divided by a linear binomial of the kind (x - a) (a).

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amount of gold in each necklace is 18 grams. The jeweler made a total of 7 bracelets and necklaces using 82 grams of gold. Determine the number of bracelets made and the number of necklaces made.

Answers

The number of bracelets made is 4 and number of necklaces made is 3.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the number of bracelets made and y be the number of bracelets made.

There are total of 7 bracelets and necklaces.

x + y = 7

Amount of gold in each bracelet = 7 grams

Amount of gold in x bracelets = 7x grams

Amount of gold in each necklace = 18 grams

Amount of gold in y necklaces = 18y grams

Total gold used is 82 grams.

7x + 18y = 82

We have two linear equations :

x + y = 7 ⇒ x = 7 - y

7x + 18y = 82

Substituting x = 7 - y in second equation,

7 (7 - y) + 18y = 82

49 - 7y + 18y = 82

11y = 82 - 49

11y = 33

y = 33/11

y = 3

x = 7 - y = 7 - 3 = 4

Hence the number of bracelets and necklaces are 4 and 3 respectively.

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True or False? If false, state the correct solution.

Answers

Answer:

TRUE

Step-by-step explanation:

(2x^2-5x-3)/(x-3) = (2x+1)

(2x^2)/(x-3) - (5x)/(x-3) - 3/(x-3) = (2x+1)

 [separated each term on the left side]

(2x^2)- (5x) - 3 = (2x+1)(x-3)

2x^2- 5x - 3 = (2x+1)(x-3)

(2x+1)*(x-3) = (2x+1)(x-3)

Both sides are the same.  The equation is TRUE.

The equation and the tables represent two different functions. Use the equation b = 6a - 10 and the table to answer the questions. This table represents c as a function of a.

Answers

Answer:

  [tex]A. \;\;b \;is \;greater[/tex]

  [tex]B.\;\;a = 1, b = -4[/tex]

  [tex]C.\;\;a = 6, c = 20[/tex]

Step-by-step explanation:

Part A

We have the relationship

[tex]b = 6a - 10[/tex]

When [tex]a[/tex] is [tex]-2[/tex], the value of [tex]b[/tex] is

[tex]b = 6(-2) -10 = -12 -10 = -22[/tex]

The corresponding value of [tex]c[/tex] for [tex]a = - 2[/tex] is -[tex]21[/tex]

[tex]-21[/tex] is greater than [tex]-22[/tex] so answer is :  [tex]b[/tex]  is greater

Part B

When [tex]c[/tex] is [tex]6[/tex], we see that the value of [tex]a[/tex] from the table is [tex]1[/tex]

The corresponding value of b is:

[tex]b = 6(1) - 10 = 6 - 10 = -4[/tex]

Part C

When [tex]b = 26[/tex], plugging this into the equation[tex]b = 6a - 10[/tex] we get

[tex]26 = 6a - 10\\\\26 + 10 = 6a\\\\36 = 6a\\\\[/tex]

or

[tex]6a = 36[/tex] giving [tex]a = 36/6 = 6[/tex]

For [tex]a = 6[/tex], from the table we see that the corresponding value of [tex]c = 20[/tex](ANS)


What is the measure of 23 if clld?

Answers

Answer:

i tink im doing this complete wrong but 1.380649×10−23 J

Step-by-step explanation:

A cubical tank full of water is emptied in a cylindrical tank. If the edge of cubical tank is 77cm, find the height to which the water rises in the cylinder whose bbase diameter 1.4m.

Answers

Answer:

Step-by-step explanation:

H=456,533/pier^2

H=456533×7/22×7×7*. Here 7 as radius

H=29.645cm

Find the sales tax selling price 20$ rate of sales tax 3%

Answers

if there was a 3 percent sales tax on 20$ the i believe the price would me 26$ because 0.3x20=6

2x+3y=3,2y+3z=4,2x+2z=8

Answers

Answer:

x=6/5

y=1/5

z=14/5

i think i  not 100% sure

which of the following is the graph of the piecewise function

Answers

Step-by-step explanation:

[tex]\displaystyle\\f(x)=\left\{\begin{array}{ccc}\sqrt{-x-1}\ \ \ if}\ \ \ x\leq -1 \\\frac{x}{x^2-x-2}\ \ \ if\ \ \ -1 < x < 2 \\log_2(x-1)\ \ \ if\ \ \ x\geq 2\end{array}\right[/tex]

Answer:

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________ is a particularly good advertising medium for groceries and fast food. Please help find the x. a developing country that exports nearly 75 of all its raw materials has how to find the middle term in the sequence 6, 30, 150, 750, , 58, 593, 750 consider the following series. [infinity] n = 1 (1)n 1 n32n |error| < 0.0005 show that the series is convergent by the alternating series test. Examine the mapwhich volcano on the map most likely formed due to a volcanic hot spot?a. volcano 1b. volcano 2c. volcano 3d. volcano 4 portia company is a retailer of hammers. portia pays $3.95 for each hammer and sells them for $8.15. monthly fixed costs are $25,200. the hammer cost is the only variable cost. 3root 375v^6y^11 answer and how to solve What is the value of $x after the following after the execution of the following Perl code?$x = 0;$y = 1;$z = 2;($x ? $y : $z) = 3;A:3B:2C:0D:1Consider the following C program:int fun(int *i) {*i += 5;return 4;}int main() {int x = 3;x = x + fun(&x);std::cout Hey could help me thanks 75 year-old patient has osteoarthritis and pain. Which of the following medications increases the risk of a GI related ulceration?CelecoxibWarfarinTramadolAmitriptyline How would you separate hexanoic acid and hexanaminc by an extraction procedure. Write all the chemical equations involved. discuss how to orient a planar surface of area a in a uniform electric field of magnitude 0 to obtain (a) the maximum flux and (b) the minimum flux through the area. 57) charlotte's crochet shoppe has 14,900 shares of common stock outstanding at a price per share of $77 and a rate of return of 11.69 percent. the company also has 300 bonds outstanding, with a par value of $2,000 per bond. the pretax cost of debt is 6.17 percent and the bonds sell for 97.8 percent of par. what is the firm's wacc if the tax rate is 22 percent? a restriction enzyme cuts a 25,700 bp segment of dna into three fragments. fragment a is 5,800 bp and fragment b is 6,600 bp. how long is fragment c, and which of the fragment will move the farthest in an electrophoresis gel? which consumer promotion tool is like coupons, except that the price reduction occurs after the purchase rather than at the retail outle A firm has a cobb douglas production functionq = AL^{}\alpha K^{}\beta, where\alpha +\beta = 1. On the basis of this information, what properties does its cost function have?The firms long run average cost curveA. is U shapedB. exhibits economies of scaleC. exhibits no economies of scaleD. is upward slopingE. is downward sloping why did the early people settle in the inner valleys T/F : most people would refuse to obey an authority figure who told them to hurt an innocent person. According to the text, men in intimate relationships are _____ the victims of physical assault.A) neverB) sometimesC) oftenD) about as frequently as women