How to solve:
3*9^(2n) = (3^(n +1))^3

Answers

Answer 1
3×9
n+1
−9×3
2n




=
3×3
2n+3
−(3
2
)
n+1

3×(3
2
)
n+1
−3
2
×3
2n




=
3
1+2n+3
−3
2n+2

3
1+2n+2
−3
2+2n




=
3
4+2n
−3
2n+2

3
3+2n
−3
2+2n




=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)



=
81−9
27−9



=
72
18



=
4
1

Answer 2

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3


Related Questions

Carla’s team won 3 of its 5 games played. Elena’s team won games at the same rate. How many games were played if Elena’s team won 12 games?

Answers

3/5=12/x

reciprical of both sides

5/3=x/12

times twelve on both sides

x=20

Answer:

7.2 games, 2.4 times rate.

Step-by-step explanation:

Carla's team won 3 of 5 games which is 3/5 aka 60%.

Elena's team won games at the same rate which means Elena's team won about 7 games since it's 7.2/12 (60%). They won at the rate of 2.4 times while Carla wins at 3/5 rate.

Help


How do you find the sum of the exterior angle measures of any convex polygon?

If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answers

Answer:

See below

Step-by-step explanation:

The sum of exterior angles is 360° regardless the number of sides.

Each exterior angle of n-sided polygon is:

360°/n
Every polygon has fixed sum of exterior angles i.e 360°.

If no of sides be s

Measure of each exterior angle

360/s

Which one isn't equal to the rest? A.2% of 150. B.3/4% of 400 C.5% of 60. D.6% of 50

Answers

Answer:

So B is different

Step-by-step explanation:

A=3

B=300

C=3

D=3

Find X please I really need help. Explain the best you can! Thanks!

Answers

3x+45=90
3x=90-45
3x=45
3x/3=45/3
x=15

find the measure of angle a round your answer to the nearest hundredth

35.54, 44.42, 45.58, 54.46

Answers

A

You find the missing side with Pythagorean theorem then you use law of cosines.

Answer: 35.54

Step-by-step explanation:

Henry correctly factored 4x^(2)+5x-6 as (4x-3)(x+2). He then claimed that the zeros of that quadratic function are located at x=-(1)/(2) and x=2. Did Henry correctly find the zeros of the function?

Answers

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."

PLSSS HELP HURRRYYYYY (100 POINTS ) CLICK ON THE PICTURE

Answers

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

Triangle ABC is congruent to another triangle. Provided is some information about the two triangles, segment AB
is congruent to segment AL and segment CA is congruent to segment GA. From this information determine
the triangle congruence statement.

Answers

hoooppe this helps <33333

can someone please help me with this

Answers

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

what is the volume of a triangular prism that has a height of 6 in a triangle base that measures 6 in on both sides and a height of 5.20 in

Answers

Answer: 93.6 cubic inches

Step-by-step explanation:

Volume = lwh/2.

So V = (6 * 6 * 5.2)/2 = 93.6

1/4(4x + 12) + 1/2x + 1 + 3/2x. Due today

Answers

Answer:

12x+16/4

Step-by-step explanation:

Answer: 3x + 4

You want to simplify the expression. So 1/4(4x + 12) + 1/2x + 1 + 3/2x simplified is 3x + 4.

Step-by-step explanation:

Hope this helps =)

Prove:-

[tex] \frac{secA - 1}{secA + 1} = \frac{1 - cosA}{1 + cosA} [/tex]



Thank You~​

Answers

[tex] = \sf \large \frac{ \sec A - 1}{ \sec \: A + 1 } [/tex]

[tex] = \sf \large \frac{ \frac{1}{ \cos A - 1} }{ \frac{1}{ \cos A + 1 } } [/tex]

[tex] \sf \large \: = \frac{ \frac{1 - \cos A }{ \green{ \cancel{ \cos A}} }}{ \frac{1 + \cos A }{ \green{\cancel{ \cos A} }} }[/tex]

[tex] \sf \large = \frac{1 - \cos A }{1 + \cos A } [/tex]

-,-

Find the value of x. Round your answer to the nearest tenth.


Answers

Answer:

The value of x is 2

Step-by-step explanation:

Given;A right angled-triangleTo Find;The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

-TheUnknownScientist 72


A square is dilated by a scale factor of 3/5
to create a new square. The area of the new square is

Answers

Answer:

1 and 1/5

Step-by-step explanation:

if you add the numerator and leave the denominator you'll get that its basically just 6/5

2x^2+8x=24
Resuelve la siguiente ecuacion

Answers

Answer:

x =  2 x = - 6

Step-by-step explanation:

2x^2 + 8x = 24

subtract 24 from both sides

(restar 24 de ambos lados)

2x^2 + 8x -24 = 0

find the common: 2

(encontrar lo común: 2)

2(x^2 + 4x - 12) = 0

2(x-2) (x+6) = 0

x = 2

x = - 6

Determine whether the given binomial is a factor of the polynomial p(x) . p(x)=x^ 3 +2x^ 2 -x-2;(x+2)

Answers

Answer:

[tex](x + 2)[/tex] isn't a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex].

Step-by-step explanation:

By the Factor Theorem, for any constant [tex]a[/tex], [tex](x - a)[/tex] would be a factor of a polynomial [tex]p(x)[/tex] if and only if [tex]x = a[/tex] is a root (a zero) of that polynomial ([tex]p(a) = 0[/tex].)

In other words, [tex](x - a)[/tex] is a factor of polynomial [tex]p(x)[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]p(x)\![/tex] with the constant [tex]a[/tex] would yield [tex]0[/tex].

For example, in this question, [tex](x + 2)[/tex] could be rewritten as [tex](x - (-2))[/tex] (value of the constant is [tex]a = (-2)[/tex].)

By the Factor Theorem, [tex](x - (-2))[/tex] would be a factor of the polynomial [tex]p(x) = x^{3} + 2\, x^{2} - x - 2[/tex] if and only if replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] evaluates to [tex]0[/tex].

Replacing all mentions of [tex]x[/tex] in [tex]x^{3} + 2\, x^{2} - x - 2[/tex] with [tex](-2)[/tex] gives:

[tex](-2)^{3} + 2\, (-2)^{2} - (-2) - 2[/tex].

Simplify:

[tex]\begin{aligned}& (-2)^{3} + 2\, (-2)^{2} - (-2) - 2 \\ =\; & (-8) + 8 + 2 - 2 \\ =\; & 0\end{aligned}[/tex].

Since [tex]p(-2) = 0[/tex], [tex](x - (-2))[/tex] (or equivalently, [tex](x + 2)[/tex]) is indeed a factor of the polynomial [tex]p(x)[/tex].

A value that is considerably larger or smaller than most of the values in a data set is called
A. Bias
B. Mode
C. Outlier
D. Confounder

Answers

Outlier for sure yes i'm so smart

Formula for trapezium?

Answers

Answer: you again…

It’s half the height times a + b

(Top length and bottom length)

Step-by-step explanation: there you go

Shen choses a letter at random from the word PROBABILITY. Write down the probability that the letter is a vowel.

Answers

Answer:

4/11 or 36.3636%

Step-by-step explanation:

probability= number of favorable outcomes/ number of possible outcomes

The event containing vowels {O,A,I,I}

P(vowel)= 4/11

in percentage, 36.3636%

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

Answer 11 :-

We have,

[tex]\sf{HM = 5 cm }[/tex]

In square all sides of squares are equal

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

Answer 12 :-

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

In square, diagonals are equal and bisect each other at 90°

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

Answer 13 :-

We have to find the measure of Angle MAT

All angles of square are 90° each

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

Answer 14 :-

We know that,

All the angles of square are equal and 90° each

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Answer 15 :-

Refer the above attachment for solution

Hence, Option A is correct

Answer 16 :-

Both a and b

The median of isosceles trapezoid is parallel to the baseThe diagonals are congruent

Hence, Option C is correct

Answer 17 :-

In rhombus PALM,

All sides and opposite angles are equal

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

OL is the bisector of diagonal AM

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct

How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals, minus, 4, x, plus, 1 Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions

Answers

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

What is the probability of rolling a "3" on two consecutive rolls of a fair 6-sided die?
A. 1/3
B. 1/36
C. 1/2
D. 1/6

Answers

Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

A 2-yard piece of linen cost $34.48 what is the cost per foot

Answers

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

Jorden has 28 golf balls. Of the 28 golf balls 1/7 are yellow. How many balls are yellow?

Answers

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

Have a nice day! :)

SOLVE THE EQUATION 25+n(20)=175

Answers

Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

If Krista wants the pen to be four times the area it is now

(5 feet long by 4 1/2 feet wide), what are two ways she could change

the length and/or width to give her that new area?

What would the new area be?

Answers

The two ways she could change the length and/or width are;

Multiply the length by a factor of 4 while leaving the width constantMultiply the width by a factor of 4 while leaving the length constant

The new area of the pen would be; 90ft²

Area of a pen

The dimension of the pen given is;

5 feet long by 4 1/2 feet wide

Hence, the initial area of the pen is;

5 × 4.5 = 22.5 ft².

Hence, to make the pen four times it's present area; Krista may multiply either of the length or width by a factor of 4.

And hence, the new area is; 22.5 × 4 = 90ft²

Read more on Area of a pen;

https://brainly.com/question/25292087

HELP ANOTHER QUESTION, I REALLY NEED HELP. !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:


Determine the values of A and B in each of the following

(1) (r’yA)) = xBy15
(2) (–2x4)3 = Bx9

Answers

Answer:

14 12 13 13 14 15 14 16 ,14 134444

Jennifer wants to buy a necklace for her mother's birthd
8.50. She currently has $14.55.
hat percentage of the total does Jennifer have?

Answers

14.55 out of 48.50 is 30%

Step-by-step explanation:

I'm struggling to solve this.
I'm told to solve for i,
9x- 7i < 3 (3x -7u)

Answers

Answer:

i > 3u

Step-by-step explanation:

Let's solve for i.

9x−7i<3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x<−21u+9x+−9x

−7i<−21u

Step 2: Divide both sides by -7.

−7i ÷ -7 = -21u ÷ -7

Answer

i>3u

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