solve the equation
13. 9^3c + 1 = 27^3c - 1​

Answers

Answer 1
Simplifying
9(3c + -1) = 27(3c + -1)

Reorder the terms:
9(-1 + 3c) = 27(3c + -1)
(-1 * 9 + 3c * 9) = 27(3c + -1)
(-9 + 27c) = 27(3c + -1)

Reorder the terms:
-9 + 27c = 27(-1 + 3c)
-9 + 27c = (-1 * 27 + 3c * 27)
-9 + 27c = (-27 + 81c)

Solving
-9 + 27c = -27 + 81c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-81c' to each side of the equation.
-9 + 27c + -81c = -27 + 81c + -81c

Combine like terms: 27c + -81c = -54c
-9 + -54c = -27 + 81c + -81c

Combine like terms: 81c + -81c = 0
-9 + -54c = -27 + 0
-9 + -54c = -27

Add '9' to each side of the equation.
-9 + 9 + -54c = -27 + 9

Combine like terms: -9 + 9 = 0
0 + -54c = -27 + 9
-54c = -27 + 9

Combine like terms: -27 + 9 = -18
-54c = -18

Divide each side by '-54'.
c = 0.3333333333

Simplifying
c = 0.3333333333

Related Questions

2
Select the correct answer from each drop-down menu.
Consider polynomial function f.
f(x) = (1 - 1)?(1 + 3)3 (+ 1)
Use the equation to complete each statement about this function.
The zero located at x = 1 has a multiplicity of , and the zero located at x = -3 has a multiplicity of
The graph of the function will touch, but not cross, the x-axis at an x-value of
Reset
Next

Answers

Answer:

2 of the 3 answers in picture

Step-by-step explanation:

Answer:

The answers are 2, 3, and 1 only

Step-by-step explanation:

This is the correct answer for plato users

if f(x) = x^2 which equation represents function g?
OA g(x) = f(2x)
OB. g(x) = f(4x)
Oc. g(x) = 2f(x)
OD. g(x) = f(1/2x)

Answers

Answer:

if f(x) = x^2 which equation represents function g?

Step-by-step explanation:

maby ( C) am not sure

The equation represents the function is g(x) = 3f(x).

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have,

Function, f(x) = x²

The function g(x) is compressed horizontally by a factor of 3, to get the function g(x)

g(x) = kf(x)

Where k = 3.

So, we have:

g(x) = 3f(x)

Learn more about function transformation here:

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Help me guys. plz no Decimal please. Thank you!

Answers

Answer: 1,145,375cm^3

Step-by-step explanation:

Si restamos 10 unidades al cuadrado de un número, el resultado coincide con el triple de dicho numero. ¿Cual es el numero busado?

Answers

Answer:

The value of x is 5 that represents the searched number

Step-by-step explanation:

Let us assume x be the number [^ 2] i.e. squared.

Now  

x^2  -10 = 3x

This is a quadratic equation

x^ 2 - 3x - 10 = 0

x^2 - 5x + 2x - 10

x (x - 5) + 2(x - 5)

(x-5) (x + 2) = 0  

x - 5 = 0 where x = 5 positive.

x + 2 = 0 where x = -2 negative.

Here we considered the positive  

The value of x is 5 that represents the searched number

Let c represent how much it costs for one person to go to a baseball game. How can we represent the total cost for 6 people to go to the game? A. 6c B. c – 6 C. D. c + 6

Answers

Answer:

6c for the total

A cylinder has a radius of 4 units and a height of 7 units. What is the volume in cubic units

Answers

The volume is 12 cubic units

Answer:

The answer is 352 cubic units

Can someone plz help me

Answers

Answer:

54 sq ft

Step-by-step explanation:

6ft x 3 ft = 18 sq ft

9 ft x 4 ft = 36 sq ft

18 sq ft + 36 sq ft = 54 sq ft

The choices should be in sq ft, not in sq cm

The value of area in sq cm would be far greater than the value of area in sq ft.

Select all the equations that are true when xis -4.
A)-8 = 2x
B) -12 = x.-3
C) -12 = x+x+x
D = -1
Ex+4 = -8
F = -16

Answers

Answer:

A,C and D are the correct options.

100 pts plz help!!!!!!1

Answers

This is a supplementary equation, so that means both of the equations added together would be 180 degrees. Therefore, you simply add them together to make them equal 180: 17x+14+4x-2=180.

therefore x=8.

you can check it by plugging 8 into both equations. 17(8)+14=150 and 4(8)-2=30

150+30 is 180

your answer is x=8

hope this helps!! :)

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Here,

The two lines l and m are parallel,

cut by a transversat line t

So The two angles are supplementary each other.

we know that,

The sum of two supplementary angles are 180°

According to the question,

(17x+14)°+(4x-2)°=180°

17x+14°+4x-2°=180°

17x+4x+14°-2°=180°

21x+12°=180°

21x=180°-12°

21x=168°

x=168°/21

x=8°

Therefore,

The value of x is 8°

Find the exact value of sin 105º.

Answers

Answer:

sin 105 = sin (45 + 60) = sin 45 cos 60 + cos 45 sin 60, or

                                    = (1 / √2)(1 / 2)        + (1 / √2)(√3 / 2)

                                         1 + √3

                                    = -------------

                                           2√2

Step-by-step explanation:

value is 1
(according to my calculator)

What is 5 - (-2) =
Plz help I’m thinking it’s 3 but don’t know

Answers

5-(-2) is 7. 2 negatives is a positive. It’s basically 5+2.

Answer:

7

Step-by-step explanation:

just add them

them you get answer

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.

Answers

Answer:

16

Step-by-step explanation:

p=k√q

8=k√25

8=k5

k=8/5

p when q=100

p=8/5*√100

p=8/5*10

p=16

math because im very bad at it

Answers

plz show pic or type it our

Write the following answers in the form ' x/y or p%'

Answer

Answers

It’s bro 5!59 13 so time to you to get F

Will give Brainliest to whoever helps me.

Answers

Answer:

BJCJCJ

Step-by-step explanation:

Answer:

1. B

2. J

3. C

4. F

5. C

6. J (I think, Sorry if u get it wrong)

Step-by-step explanation:

Thank me later lol.

If x=(y+2)^2 and y= -7 then what is the value of x

Answers

Answer:

25

Step-by-step explanation:

(y+2)^2=x

(-7+2)^2=x

(-5)^2=x

(-5)(-5)=x

25=x

Hope that helps :)

Answer:

x=25

Step-by-step explanation:

Plug it innnn plug it innnn

f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))

Answers

Answer: f

=  x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )

Step-by-step explanation:

Can somebody plz help answer these questions correctly (only if u know how to do them) thx sm! :3

WILL MARK BRAINLIEST WHOEVER ANASWERS FIRST :DDDD

Answers

Answer:

s= 100

r= 130

x= 38

y= 30

Step-by-step explanation:

If 25% of a number is 65 and 60% of the same number is 156, find 35% of that number.

Answers

Answer:

35% of that number is 91.

Step-by-step explanation:

we need to first find 25% of what number equals 65.

65×100÷25 = 260

Then, if you use the same method again, 60% of 260 would be 156.

We know "that" number is 260, and all we need to do is find 35% of it.

35% of 260 = 91

Hope this helped :)

What is the Surface Area of the Triangular Prism below?

Answers

Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

10. Use the two given poInts and calculate the slope.
(7,2), (6,1)

Answers

Answer:

The answer is m=1 , the slope is 1

Step-by-step explanation:

A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

The answer is zero since there are no green tiles

399.2 divided by 1\10 =??

Answers

Answer:

3,992

Step-by-step explanation:

1/10 = 0.1

399.2/0.1 = 3,992

Answer:

3990

Step-by-step explanation:

Place the decimal to a fraction:

399.2 = 399 2/10

Simplify =  399 1/5

Put in improper fraction = 1995/5

Simplify more = 399/1 or 399

So:

399 divided by 1/10 = 3990

Rhonda has an extra credit protect to make a rectangular prism whit the volume of at least 24 in*3 . if the area of her base is 6 in*3 , which inequality would represent all the possible heights, h, of her prism in order to meet her teachers requirements

A. h > 4
B. h > 8
C. h < 4
D. h < 8



Answers

A is your answer hope that helps!

b) A shopping center consists of two stores and two parking lots. In the diagram, w represents the width of Store B in meters. 25 13.5 Which expression for the area of the shopping center is written as the area of the stores plus the area of the parking lots? 38.5(w + 10) 10 Store A Parking Lot A 38.5w + 385 Store B Parking Lot B 25(w + 10) + 13.5(w + 10) (25 + 13.5)(10) + (25 + 13.5)w​

Answers

Answer:

Step-by-step explanation:

25(w+10) + 13.5(w +10)

Answer:

25(w+10)+13.5(w+10)

Step-by-step explanation:

hope it helps

One of the objectives for this lesson is to find the length of a curve using the z score.

Answers

Answer:

The answer is "True".

Step-by-step explanation:

The z-score value shows how often standard deviations were away from the earth. If it is 0, it is on average. The positive Z sign indicates that perhaps the raw mark is greater than the average. While z-score is equivalent to +1, for example, it is a standard deviation of 1 above average. This can be used for implementing series and also for comparing the trend of mortality among various individuals or between various periods and by using the z score we find the curve length, that's why it is correct.

200% of what number is 350?

Answers

Answer:

The answer is 175

Which pair of equations below is a result of constructing the altitude, h, in triangle ABC?

Answers

Answer:

the answer is A:

sinA=h/c

sinC=h/a

Step-by-step explanation:

edge 2020

The pair of equations is sinA=h/a cosC=h/a

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms.

When a altitude is drawn from the base of the triangle

we can write

sinA=height/ a where a, is the side length of AB

also,cos C=height/a where a, is the side length of AB

Therefore,The pair of equations is where a, is the side length of AB

Learn more about trigonometry,

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Find the value of x and the value of y.
A. x= 2 squared root of 3, y= 4 squared root of 3
B. x= 3,y= 6 squared root of 3
C. x= 6 squared root of 3, y=12
D. 2 squared root of 3, y= 6

Answers

Answer:

Option A

Step-by-step explanation:

To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Now we take an angle measuring 60°

sin(60°) = [tex]\frac{6}{y}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{6}{y}[/tex]

y = 4√3

tan(60°) = [tex]\frac{6}{x}[/tex]

√3 = [tex]\frac{6}{x}[/tex]

x = 2√3

Therefore, Option A will be the correct option.

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