9 POWERED C = 243 (INDICES)

Answers

Answer 1

9^c = 243

3^(c)*2 = 243

3^(c)*2 = 3^5

Since the bases are the same the powers can be equated.

2*c =5

c = 5/2

c = 2 1/2

Check

9^2.5 = 243

Use the ^ or y^x or x^y key


Related Questions

Simplify 12edf – 13def. State a property that you can use.

Answers

Answer:

-def. In multiplication, the order doesn't matter.

Step-by-step explanation:

A crucial property you can use to simplify this is the fact that, in multiplication, order doesn't matter.

3 * 2 = 6

2 * 3 = 6

5 * 2 * 3 = 30

2 * 3 * 5 = 30

3 * 2 * 5 = 30

Thus,

edf, or

e * d * f

is the same as def,

d * e * f

e * d * f = d * e * f

edf = def

Thus, 12edf is the same as 12def. We can put this in our expression:

12edf - 13def

12def - 13def

Now, we can see that this will equal -1def or -def

12def - 13def

-1def

-def

Answer: -def. In multiplication, the order doesn't matter.

Between which two integers does -13/3 lie?
A -3 and 4
B -2 and -3
C -5 and 6
D -4 and -5​

Answers

Answer:

-4 and -5

Step-by-step explanation:

- 13/3 is equal to -4.3 so this is why i think this but it maybe wrong.

During batting practice 12 balls were pitched to each player if 9 player came to practice how many balls were pitched?
If the player hit an average of 8 balls each, how many balls were hit?

Answers

Answer:

108 balls were pitched in total

Step-by-step explanation:

if 9 player came to practice and pitched 12 balls each. the equation would be 9*12=108

A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?

Answers

answer: 43 miles :)

45-2=43 or 1(45) -2

helpp mee pleaseee !

Answers

Answer:

Constant of proportionality, [tex]r = \frac{1}{10}[/tex]

Asked to simplify
Can’t be a fraction
Please help

Answers

Answer:

27[tex]a^{9}[/tex][tex]b^3\\[/tex]

Step-by-step explanation:

This is what happens

[tex](3)^{3} or (3^1)^{3}[/tex]= [tex]3^{1x3}[/tex] = [tex]3^{3}[/tex] = 27

[tex](a^{3})^{3}[/tex]= [tex]ax^{3x3}[/tex] [tex]a^{9}[/tex]

[tex](b)^{3}[/tex]= [tex]b^{1x3}[/tex] =[tex]b^{3}[/tex]

50 POINTS Iann bought a carpet to cover 500 square feet. He wants to cover a room that is 10feet and 5 inches long by 9 feet and 7 inches. About how much will he have left over for the rest of the house?

Answers

Answer:

20.85 ft

Step-by-step explanation:

first convert 7 in to ft than add 9 to it

10×5×9.583 = 479.15ft that's how much carpet he needs for his room

500-479.15= 20.85ft left for the rest of his house

Solve this
equation for m
y = mx + b

Answers

Answer:

m is represented as the slope

Step-by-step explanation:

The answe is the first one

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34

Answers

Answer:

C:31

Step-by-step explanation:

Considering the given recursive function, it is found that the value of f(1) is of f(1) = 31.

What is the definition of the recursive function?

It is given by:

f(n + 1) = f(n) - 3.

Which means that each term is the previous term subtracted by 3, hence:

f(4) = 22, f(3) = 25, f(2) = 28, f(1) = 31.

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what is 6/6 in a reduced fraction

Answers

Answer:

1

Step-by-step explanation:

Step 1:

6 ÷ 6

Answer:

1

Hope This Helps :)

The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?

Answers

Answer:

The difference is 85 ft.

Step-by-step explanation:

Elevation 1: 50 ft

Elevation 2: -35 ft

Difference = Elevation 1 - Elevation 2

Difference = 50 - (-35)

I can simplify this expression, as subtracting a negative number is the same as adding a positive number:

Difference = 50 + 35

Difference = 85

Answer: The difference is 85 ft.

if x=2⅓-2, then find the value of x³+6x²+12x​

Answers

Answer:

4  19/27

Step-by-step explanation:

x = 2 1/3 - 2

= 1/3

x³ + 6x² + 12x =

= (1/3)³ + 6(1/3)² + 12(1/3)

= 1/27 + 6×1/9 + 12×1/3

= 1/27 + ⁹⁾2/3 + ²⁷⁾4

= (1 + 18 + 108)/27

= 127/27

= 4  19/27

Solve for x.
(5x - 25)
(7x+4)

Answers

Answer: x is 5 if this isnt right then im sorry.

simplify 3(x+2)-5x

1. 6-2x
2. 8x+2
3.-2x+2
4.2x+6​

Answers

Answer:

-2x + 6

Step-by-step explanation:

Step 1: Write expression

3(x + 2) - 5x

Step 2: Distribute

3x + 6 - 5x

Step 3: Combine like terms

-2x + 6

Answer:

-2x+6

Step-by-step explanation:

first multiply the 3(x+2)

that equals 3x+6-5x

Add like terms

-2x+6

Which number line shows the points −12/5 and –2.8?

Answers

The answer will be a

The number line that shows the points −12/5 and –2.8 is Option A.

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

The given numbers are: −12/5 and –2.8

As we can re-write -12/5 in decimal form= -2.4

Now, we need to mark the number on the number line.

As the number -2.4 lies between -2 and -3 on the left side of zero.

and, -2.4 lies between -the numbers 2.5 and -3.0 on the left side of zero.

Learn more about number line here:

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4. So
3. Gecko Wireless has a 1000 minute monthly plan
that costs $29.95. Each bill also includes $2.95 for
federal communications tax and $0.05 per minute
over 1000. If m represent the minutes over 1000,
which equation represents the cost, p, of wireless
phone service? (MAFS.912.A-CED. 1.1)
defin
solut
a. P= 29.95 + 2.95
b. P=0.05 + m(29.95 +2.95)
P= 29.95 + 0.05m +2.95
d. P= (29.95 + 0.05)m +2.95. What equation should I use?

Answers

Answer:

[tex]P=29.95+0.05m+2.95[/tex]

Step-by-step explanation:

The monthly plan costs starts at $29.95, so we're not changing that.

For each monthly plan, we have to pay a tax of $2.95, so we're not changing that.

If we go over 1,000 minutes, we have to pay $0.05 for every minute we go over, and with the fact that [tex]m[/tex] represents each minute over 1,000, we're going to have to represent minutes over 1,000 as [tex]0.05m[/tex] in our equation.

Set up your equation:

[tex]P=29.95+0.05m+2.95[/tex]

2. Regina, Phil and Joseph each wrote expressions to represent their hourly
earnings for an after-school job where h represents the number of hours
worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 Phil says that there
will never be a week where he and Joseph can earn the same amount of money.
Do you agree or disagree? Explain (Distinguished).

Answers

Answer:

Step-by-step explanation:

s

c

h

o

2

l

,

h

,

h

o

u

r

s

,

6.5

h

+

16

,

7.5

h

+

15

,

7.5

h

+

10

,

a

w

e

2

k

Answer:

AGREE

Step-by-step explanation:

I agree because Phill will always have $5 more than Joesph.

(the other answer was a little dumb and confusing.Plz like and give 5 stars thanks!)

This is a serious question.

What is 69 x 1 59/20

Will give brainliest

Answers

Answer:

10971/20

Step-by-step explanation:

69 * 159/20

69/1 * 159/20

69 * 159 = 10971

1 * 20 = 20

So the answer is basically 10971/20.

What is the value of f(15) if the function is f(x)=(x)(2x+5)

Answers

Ion man ig 1+1=3 best answer

Find the midpoint between the lake of points. Make sure to simplify all fractions

Answers

Answer: The midpoint  is MZ midpoint = (0.5,1)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)[/tex]

a 6 pack of pepsi cost 3.59 how much for one soda

Answers

Answer:

.60

Step-by-step explanation:

Answer:

.598 rounds up to .60 a can

Step-by-step explanation:

3.59/6= .598 which rounds up to about .60 a can

-(-21) = -21 true or false

Answers

Answer:

False

Step-by-step explanation:

-(-21) is positive 21 since there are 2 negative signs, and -21 is negative, therefore they are not the same.

Hope this helps!

Answer:

False. It is equal to 21.

Step-by-step explanation:

-(21) would equal -21

However,

- (- 21) equals 21

The two negatives "cancel" each other out.

Answer: False. It is equal to 21.

Determine whether the equation 12y+6=6(2y+1) has one solution, no solution, or infinitely many solutions. If it does have a solution, what is it?

Answers

Answer: Infinitely many solutions

A tortilla measures 8 inches in diameter what is the tortilla area

Answers

Answer:\

C

Step-by-step explanation:

Answer:

50.26548246

Step-by-step explanation:

The equation for finding the area of a circle is radius^2xπ this means you have to divide the diameter by 2 and then square it(times it my itself) and then  multiply by π which then gives you 50.26548246 which rounds to 50.27




Un

se nombra usando una única letra
Una
que se extiende infinitamente en dos direcciones, se nombra usando
puntos cualesquiera en ella. Por ejemplo, la recta de la derecha podría recibir los
nombres DE ED
EJ
,0 , entro otros.
M
TI

Answers

Answer:

Step-by-step explanation:

yes

A florist can order roses in bunches of 12 and tulips in bunches of 8. Last month she ordered the same number of roses and tulips. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations

Answers

Answer

196

Step-by-step explanation:

12*8=96+100=196

The midpoint of AB is M(2, -1). If the coordinates of A are (1,6), what are the
coordinates of B?

Answers

Answer:

work is attached and shown

The coordinate of point B will be (3, -8) for the given line segment.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

For example (5,3) here 5 will be for the x and 3 will be for the y.

Another example is (9,0) here 9 is for x and 0 is for y.

Given the line segment, AB

If the M(2, -1) is the midpoint of A(1,6) and B(x,y)

Then,

(1 + x)/2 = 2 ⇒ x = 3

(6 + y)/2 = -1 ⇒ y = -8

So B(3, -8).

Hence "The coordinate of point B will be (3, -8) for the given line segment".

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Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.

Answers

Answer:

1/4n - 3

Step-by-step explanation:

1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.

The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Emily's number can be represented as:

n

One-fourth of Emily's number can be represented as:

1/4n

Subtracting 3 from one-fourth of Emily's number gives us:

1/4n - 3

Therefore, the expression that represents Emily's number is:

n = 1/4n - 3

This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.

Learn more about the algebraic expression here :

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Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189) (2, 0)

Answers

the ordered pair that represents a maximum is (5,189)

Evaluate the function f(x)=6x+2 at the given values of the independent variable and simplify.
a. f(8) b. f(x+6) c. f(−x)
. f(8)= (Simplify your​ answer.)

Answers

[tex]f(x) = 6x+2[/tex]

A.

To evaluate f(8), we substitute x with 8 in our expression.

[tex]f(8) = 6*8 + 2\\f(8) = 48 +2\\f(8) = 50[/tex]

Answer: f(8) = 50

B.

To evaluate f(x+6), we do the same but substitute x with x+6 instead.

[tex]f(x+6) = 6(x+6) + 2[/tex]

Expand the parenthesis by multiplying 6 with x and 6.

[tex]f(x+6) = 6x + 6*6 + 2\\f(x+6) = 6x+36+2\\f(x+6) = 6x+38[/tex]

Answer: f(x+6) = 6x + 38

C.

Again, we're doing the same thing, just substituting x with -x.

[tex]f(-x) = 6 * (-x) + 2\\ f(-x)=-6x+2[/tex]

Answer: f(-x) = -6x+2

Answer:

_____________________________________________

[tex] \longmapsto \: f(x) = 6x + 2[/tex]

_____________________________________________

A. [tex]f(8) = 6(8) + 2 = 48 + 2 = \boxed{ 50}✓[/tex]

_____________________________________________

B. [tex]f(x + 6) = 6(x + 6) + 2 \\ = 6x + 36 + 2 \\ = \boxed{ 6x + 38}✓[/tex]

_____________________________________________

C. [tex]f( - x) = 6( - x) + 2 = \boxed{ - 6x + 2}✓[/tex]

_____________________________________________

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