In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer 1

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer 2

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.


Related Questions

What is the factored form of 125x6 – 8?

Answers

Answer:

Step-by-step explanation:

125 = 5 *5 * 5 = 5³

8 = 2 * 2 *2 = 2³

125x⁶ - 8 = 5³(x²)³ - 2³

               = (5x²)³ - 2³     { a³ - b³ = (a -b)(a² + ab + b²)

               = (5x² - 2) ([5x²]² + 5x²*2 + 2²)

                 = (5x² - 2)(25x⁴ + 10x² + 4)

Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴

A traveler explores the regions of Mexico. She travels from Sonora to Colima, and

Colima to Tamaulipas. Write two inequalities that represent the two possible distances

from Tamaulipas back to Sonora.

Answers

Answer:

809mi

Step-by-step explanation:

There are two ways to travel form Tamaulipas to Sorona. The first if the direct route from Sorona to Tamaulipas which is 809mi. The another route is to travel to Colima from Sorona and then travel to Tamaulipas from Colima. This is the long distance routes in which there are two destination points. The direct route is shorter in length therefore preferable.

What are the vertical asymptotes of the function above?
1) x= -1 and x = -2
2) x= -1 and x = 2
3) x= 1 and x = -2
4) x = 1 and x = 2

Answers

Answer:

third option

Step-by-step explanation:

Given

f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

The vertical asymptotes are x = 1 and x = - 2


What is the area of a circle with a radius of 40 cm?
cm2
(Use 3.14 for Pi.)

Answers

A= pi x radius squared

A= 3.14 x 40squared

A= 5024 cm2

Hope this helps ya.

solve the equation: csc(4x)-2=0

Answers

Step-by-step explanation:

csc(4x) − 2 = 0

csc(4x) = 2

sin(4x) = 1/2

In radians:

4x = π/6 + 2kπ, 5π/6 + 2kπ

x = π/24 + kπ/2, 5π/24 + kπ/2

In degrees:

4x = 30° + 360°k, 150° + 360°k

x = 7.5° + 90°k, 37.5° + 90°k

You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.

Answers

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

so

384=12x

x= 32

Priya, Han, and Mai each measured one of the circular objects from earlier. Priya says that the bike wheel is 24 inches. Han says that the yo-yo trick is 24 inches. Mai says that the glow necklace is 24 inches. 1. Do you think that all these circles are the same size? 2. What part of the circle did each person measure? Explain your reasoning.

Answers

Answer:

Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).

Each person measures the circumference of the circle.

Step-by-step explanation:

Given that :

Priya, Han, and Mai each measured one of the circular objects from earlier.

Priya says that the bike wheel is 24 inches.

Han says that the yo-yo trick is 24 inches.

Mai says that the glow necklace is 24 inches.

Do you think that all these circles are the same size?

Yes they are of the same size since they have the same number and standard unit of measurement (i.e 24 inches).

What part of the circle did each person measure?

Each person measures the circumference of the circle.

The circumference also known as the perimeter of the circle is denoted by :

C = 2π r

The circumference of a circle is the distance round the edges of the circle.

Given that C = 24

24 = 2π r

r = 24/(2π)

r = 3.8 inches

This confirms the claim that all the circle are of the same size since they possess the same radius.

Answer:

The person who answered first is WRONG

Step-by-step explanation:

I did this and these are the answers the teacher gave me:

the circles are NOT the same size

and they are measuring by diameter, radius, and circumfrence

when a 200 g solution A and 400g of saline solution B are mixed a 6% salt solution is created also when a 400g of saline solution A and 200g of solution B are mixed 7% salt is created find what percent concentration of saline and saline b solution are

Answers

Answer:

A = 8%, B = 5%

Step-by-step explanation:

Let

a=concentration of solution A (in percent)

b=concentration of solution B (in percent)

Given

2a+4b = 0.06*(2+4)  ...........(1)

4a+2b = 0.07*(4+2)  ...........(2)

2(1) - (2)

4a-4a +8b-2b = 6 (2*0.06-0.07)

6b = 6(0.05)

b = 0.05  .............(3)

Substitute (3) into (1) and solve for a

2a+4(0.05) = 0.36

2a = 0.16

a = 0.08

Please answer this question now

Answers

Answer:

298.3 square centimeters

Step-by-step explanation:

We are given

Slant height (l)= 14cm

Radius (r)= 5cm

Since we are given the slant height ,

the formula for surface area of a cone =

πrl + πr²

πr(l + r)

π = 3.14

Hence,

3.14 × 5(14 + 5)

3.14 × 5(19)

= 298.3 square centimeters

Use linear regression to predict the length of a 40-month-old animal. The ages and lengths of several animals of the same species are recorded in the following table: (2 points)

Answers

Answer:

Aw what animal

Step-by-step explanation:

Srry I need pointse

Solve for x 3x - 4 = 2x - 10

Answers

Answer:

-6

Step-by-step explanation:

To solve this problem, you should move all of the variables onto one side, and all of the constants onto the other side as such:

3x-4=2x-10

   +10    +10

3x+6=2x

-3x     -3x

6=-x

/-1   /-1

x=-6

Hope this helps!

P.S. Please give me brainliest. Thanks :)

Answer:

[tex]x = -6[/tex]

Step-by-step explanation:

Looking at the expression [tex]3x - 4 = 2x - 10[/tex], our goal is to get rid of the x term on one side.

To do this, we can subtract 2x from both sides which gets us

[tex]x - 4 = -10[/tex]

Add 4 to both sides:

[tex]x = -6[/tex]

Hope this helped!

Bryce is making a model building. He raises the walls of the building by 2centimeters five times. By how many centimeters does Bryce raise the walls all together?

Answers

Answer:

C. 10cm

Step-by-step explanation:

Bryce is making a model building.

He raises the walls of the building

by 2 centimeters five times. By how

many centimeters does Bryce raise

the walls all together?

(A) 2 cm

(C) 10 cm

(B) 5 cm

(D) 20 cm

Bryce raises the walls of the building 2centimeters five times

This means, he raises the walls 2centimeters five different times

By how many centimeters does Bryce raise the walls all together?

We can solve this by finding the product of 2centimeters five times

The total centimeters Bryce raises the walls altogether= 2 centimeters × 5 times

=2cm × 5

=10cm

Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clothing on Saturday and $1200 in clothing on Sunday. How much did she earn over the two days? A. $252 B. $291 C. $392 D. $532

Answers

Answer:

I hope this helps!

Answer D

Step-by-step explanation:

Step-by-step explanation:

salary per day =$140

bonus on sales =14%

sales on Saturday =$600

bonus on Saturday sales=14/100*$600

=$84

sales on Sunday =$1200

bonus on Sunday sales=14/100*$1200

=$168

total amount she earned over the two days=$140+$84+$168

=$532

Show that the equations x^2-7x+6=0 and y^2-14y+40=0 form a rectangle.Also find the joint equations of diagonals.

Answers

Answer:

1) The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The joint equations of diagonals are;

5·y = 56 - 6·x and 5·y = 6·x + 14.

Step-by-step explanation:

The equations are;

x² - 7·x + 6 = 0......................(1)

y² - 14·y + 40 = 0.................(2)

Factorizing equation (1) and equation (2) , we get

x² - 7·x + 6 = (x - 6)·(x - 1) = 0

Which are vertical lines at points x = 6 and x = 1

For equation (2) , we get

y² - 14·y + 40 = (y - 10)·(y - 4) = 0

Which are horizontal lines at point y = 4 and y = 10

The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The points of intersection of the equations are;

(1, 4), (1, 10), (6, 4), and (6, 10)

The end point of the diagonals are;

(1, 10), (6, 4) and  (1, 4), (6, 10)

The slope of the diagonals are;

(10 - 4)/(1 - 6) = -6/5 and (4 - 10)/(1 - 6) = 6/5

The equation of one of the diagonals are then, y - 10 = -6/5×(x - 1)

y = -6/5·x + 6/5 + 10 = -6/5·x + 56/5

5·y = 56 - 6·x

The other diagonal is therefore;

y - 4 = 6/5×(x - 1)

y = 6/5·x - 6/5 + 4 = 6/5·x + 14/5

5·y = 6·x + 14.

The joint equations of diagonals are therefore;

5·y = 56 - 6·x and 5·y = 6·x + 14.

a number is multiplied by 5 and the results is twice the number added to 2 find the number

Answers

Answer:

5x=2x+2

3x=2

X=2/3

Hope this helps ФωФ

solve the equation: sin(2x)= sin x

Answers

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

The Solution of x:

x = π/3 + 2πn, where n is an integer.

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

x = 120° + 360°n, where n is an integer.

To solve the equation sin(2x) = sin(x), we can use the properties of trigonometric functions.

First, let's simplify the equation using the double angle identity for sine:

sin(2x) = 2sin(x)cos(x).

Now we can rewrite the equation as:

2sin(x)cos(x) = sin(x).

2cos(x) = 1.

Dividing both sides of the equation by cos(x), we get:

2 = 1/cos(x).

Now, we can find the value of cos(x) by taking the reciprocal of both sides:

cos(x) = 1/2.

From the unit circle or trigonometric values,

we know that cos(x) = 1/2 corresponds to angles of π/3 or 2π/3 (in radians) or 60° or 120° .

So, the solutions for x are:

x = π/3 + 2πn, where n is an integer.

or

x = 2π/3 + 2πn, where n is an integer.

In degrees:

x = 60° + 360°n, where n is an integer.

or

x = 120° + 360°n, where n is an integer.

Learn more about Trigonometry here:

https://brainly.com/question/13262593

#SPJ6

Solve for y.
y/-1 +-7=-11​

Answers

Answer:

y = 4

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

-y = -4

Multiply each term in  − y  =  − 4  by  − 1

y = 4

Hope this can help you

PLEASE HELP ASAP THANKS!!!!!!!!

Answers

Answer:

x-√x -12

Step-by-step explanation:

(√x +3)(√x -4)=

x-√x -12

Answer:

the answer is C

Step-by-step explanation:

I used PEMDAS and school knowledge that I learned 2 years ago that I can't explain much, cause I i am bad at math, most of the time

Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour. The car's tank has 20 2020 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 66 kilometers per liter. Fuel costs 0.60 0.600, point, 60 dollars per liter. How long can Roselyn drive before she runs out of fuel?

Answers

Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

2 hours

Answer:

Hopes this helps!

Step-by-step explanation:

plz ans asap i havd limited time ill give brainliest

Answers

Answer:

C. $128

Step-by-step explanation:

320 x 0.5 = 160

320 - 160 = 160

160 x 0.20 = 32

160 - 32 = 128

C) $128.

50% off of 320 is 160. And then there is an additional 20% off; 20% off of 160 is 160*0.8=128.

|-6+8| = simplify the expression

Answers

Answer:

2

Step-by-step explanation:

|-6+8|

Add/subtract the numbers: -6 + 8 = 2

= |2|

Apply the absolute value rule: |a| = a, a ≥ 0

= 2

Duane is making a casserole for dinner. He has been cooking the casserole for 48 minutes. The casserole
needs to cook for 47 more minutes.
How many minutes does the casserole cook in total?

Answers

Answer:

95 minutes

Step-by-step explanation:

Add together how long it has been cooking plus how long it needs to cook

48+47 = 95

95 minutes

Answer:

155

Step-by-step explanation:

Add 60 and 48 to get 108 then add 108 and 47 to get 155

if the first step of the equation -8 - 7x = -5x - 10 is " add 10" then what should be done next?

Answers

Answer:

Add 7x to each side

Step-by-step explanation:

-8 - 7x = -5x - 10

Add 10 to each side

-8 - 7x+10 = -5x - 10+10

2 -7x = -5x

Add 7x to each side

2-7x+7x = -5x+7x

2 = 2x

Answer: See below

Step-by-step explanation:

[tex]-8 - 7x = -5x - 10[/tex]

I believe it is adding 8 on both sides

The next step after adding 8 on both sides is adding 5x on both sides

[tex]-7x=-5x-2[/tex]

[tex]-7x+5x=-5x-2+5x[/tex]

[tex]-2x=-2[/tex]

x=1

Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?

Answers

Royas snake is 96 in long
96-42=54 so royas snake is 54 in longer

Answer:

54 inches

Step-by-step explanation:

First, let's convert the measurements into a common measurement.

Since inch is the smallest measurement here, let's use that.

Ella's pet snake is 42 inches long.

Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.

Therefore, Roya's snake is 96 inches long.

To find out how many inches longer is Roya's snake, subtract:

96 - 42 = 54.

Therefore, Roya's snake is 54 inches longer than Ella's.

Evaluate 5 - t/3 when t =12

Answers

Answer:

1

Step-by-step explanation:

Plug in t = 12 in the expression

[tex]5-\frac{t}{3}=5-\frac{12}{3}[/tex]    

         = 5 - 4/1

          = 5 - 4

           = 1

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5-\frac{t}{3}[/tex]

The value of [tex]t[/tex] in the expression is 12.

Replace the [tex]t[/tex] variable with 12.

[tex]\displaystyle 5-\frac{12}{3}[/tex]

Evaluate the expression.

[tex]5-4[/tex]

[tex]1[/tex]

The function gx) = x^2is transformed to obtain function hr.
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
A. The graph of his the graph of g vertically shifted down 3 units.
B. The graph of his the graph of ghorizontally shifted left 3 units.
C. The graph of h is the graph of g vertically shifted up 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.

Answers

the graph will shift 3 units to the right

Can I name my Angle VTS as STV? And use it interchangeably in proving?

Answers

Answer:

both angles are the same, so you can use it interchangeably in proving.

But i suggest you to mantain only one, because it's easier to understand and it looks better.

Evaluate the expression 5^-2

Answers

Answer:

[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]

Step-by-step explanation:

[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]

Could someone please explain/help me to do this using Pythagoras theorem?

Answers

Answer:

[tex]\boxed{478.02}[/tex]

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

Evaluate the expression 5^-2

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{1}{25}}[/tex]

When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:

[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]

1/25

= 1/5*5

=1/5^2

=1/25



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