simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​

Answers

Answer 1

Answer:

[tex]\boxed{\sf\: B)\:3^{12}}[/tex]

Step-by-step explanation:

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]

Apply exponent rule:

[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]

Add the numbers:

[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]

________________________________


Related Questions

If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​

Answers

Answer:

SEE attched pic

Step-by-step explanation:

Download symbolab

help please!
i can't figure it out.

Answers

Answer:

35

Step-by-step explanation:

8 + 27 would give us 35

We add the negative since it starts from there and works it's way up.

Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation

Answers

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?

Answers

Answer:

P = 342 ft

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Factoring/Expanding

Quadratics

Solving quadratic equationsStandard Form: ax² + bx + c = 0

Geometry

Area of a Rectangle Formula: A = lw

l is lengthw is width

Perimeter of a Rectangle Formula: P = 2w + 2l

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify variables.

A = 5670 ft²

"Length that is 9 feet less than 3 times its width" → l = 3w - 9

Step 2: Find w

Substitute in variables [Area of a Rectangle Formula]:                                w(3w - 9) = 5670[Distributive Property] Expand:                                                                      3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]:                      3w² - 9w - 5670 = 0[Quadratic] Factor:                                                                                          3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]:                                                                      w = -42, 45

Since length/width cannot be negative, we know that w = 45 ft.

Step 3: Find l

Substitute in w [Length Formula]:                                                                   l = 3(45) - 9[Order of Operations] Evaluate:                                                                       l = 126 ft

Step 4: Find Perimeter

Substitute in variables [Perimeter of a Rectangle Formula]:                        P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate:                                                                      P = 342 ft

∴ The perimeter of Janice's fence is 342 ft.

Let width be x ft

Length be 3x-9ft

Now

Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0

On solving we wI'll get x=-42,45

Take it positive

x=45width=45ftLength=3(45)-9=135-9=126ft

Now

Perimeter

2(Length+Width)2(45+126)2(171)342ft

PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!

Answers

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

help pls will mark brainliest if it is correct, its not 72.

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

HRLP ME PLEASE BRO PLEASE ALL I NEED IS THE ANSWER

Answers

Answer:
It’s the first one

HELP PLEASE!!
(It’s slope)

Answers

Answer:

Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!

Step-by-step explanation:

Im not good at explaining things without it sounding very confusing... sorry.

frrrrrrrrreee points​

Answers

Thanks! :)

Hope you’re having a wonderful day!!
Thank youuuuuuuuuuuuuuu

3a2 + 2a + 2a2 is equal to​

Answers

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.​

Answers

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.

Answers

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

Use the definition of absolute value

6x + 3 = 27

6x + 3 = -27

Subtract three from both sides of the equation.

6x = 24

6x = -30

Divide both sides by 6.

x = 4

x = -5

So:

x = 4, -5

Help me ;-;

Find (2)(‐3)

Answers

-6
Would be your answer


Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.

Answers

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

what is the y intercept of the graph with an equation: 2x-6y=18

Answers

Answer:

2X(34.-98) DE LA YOE

Step-by-step explanation:

Hey guys please give me the correct answer.

Answers

Step-by-step explanation:

-5 - 2x < - 4

Bringing like terms on one side

-2x < - 4 + 5

-2x < 1

x < - 1/2

Option none is the correct answer

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.

Answers

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

f(x) = –2x^2 – 3x + 5

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: https://brainly.com/question/10439235

if 1 orange cost 30 cents how many oranges can you buy for 10.50

Answers

Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.

Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

In ADEF, m must be true?
Plssss need helpppp

Answers

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

The line plot shows the costs of 5 books. A teacher buys all 5 books. She pays
with a $100 bill. How much change should she get?

Answers

Answer:

$36 in change

Step-by-step explanation:

book cost total: 64

100-64=36

If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.

Plz, help I will give brainiest to the correct answer!

Answers

Answer:

A is correct.

Step-by-step explanation:

A furniture store donated a percentage of every sale to hospitals. The total sales were ​$7,125 so the store donated ​$570. What percent of 7,125 was donated to hospitals

Answers

Answer:

8%

Step-by-step explanation:

570 / 7125 =  x / 100

Cross multiply

570 * 100 = 7125x

57000 = 7125x

Divide each side by 7125

8 = x

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

Last season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?

Answers

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

3
Write 3
as an improper fraction.
4

Answers

Answer:

I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.

[tex]\huge\boxed{Hi\: there!}[/tex]

3 as an improper fraction: 3/1.

Remember, an improper fraction is a fraction where the numerator is larger than the denominator.

[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]

Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.

Answers

Answer:

Henry payed $ll.70

Step-by-step explanation:

1.20 times 9 3/4 (or 9.75) equals 11.7

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

question math genius help but preparation for tmrw math exam
a) 2x-y-3=0,4x+y-3=0
lots of thx if u helped ​

Answers

Step-by-step explanation:

make sure to number your equations

[tex]2x - y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: (1)[/tex]

[tex]4x + y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)[/tex]

In equation 2 make y the subject

[tex]y = - 4x + 3 \: \: \: \: \: \: \: \: \: (3)[/tex]

subs 3 into 1

[tex]2x - ( - 4x + 3) - 3 = 0[/tex]

[tex]2x + 4x - 3 - 3 = 0[/tex]

[tex]6x - 6 = 0[/tex]

[tex]6x = 6[/tex]

[tex]x = 1 \: \: \: \: \: \: \: \: \: \: \: (4)[/tex]

sub's 4 into 2

[tex]4(1) + y - 3 = 0[/tex]

[tex]4 + y - 3 = 0[/tex]

[tex]y = - 4 + 3[/tex]

[tex]y = - 1[/tex]

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