(1/27)^x-6=27

Could I please have a step by step as well? Much appreciated! ​

(1/27)^x-6=27Could I Please Have A Step By Step As Well? Much Appreciated!

Answers

Answer 1

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

[tex] \frac{1}{ {27}^{x - 8} } = 27[/tex]

2) Multiply both sides by 27^x - 8.

[tex]1 = {27} \times 27^{1 + x - 8} [/tex]

3) Use the product rule: x^a x^b = x^a+b.

[tex]1 = {27}^{1 + x - 8} [/tex]

4) Simplify 1 + x - 8 to x - 7.

[tex]1 = {27}^{x - 7} [/tex]

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

[tex] log_{27}1 = x - 7 [/tex]

6) Use Change of Base Rule.

[tex] \frac{ log_1 }{ log{27} } = x - 7[/tex]

7) Use rule of 1: log 1 = 0.

[tex] \frac{0}{ log_{27}} = x - 7[/tex]

8) Simplify 0/log_27 to 0.

[tex]0 = x - 7[/tex]

9) Add 7 to both sides.

[tex]7 = x[/tex]

10) Switch sides.

[tex]x = 7[/tex]

Therefor, the answer is x = 7.


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Help me I’ll give 15 points

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y = 1x + -3
I’m not sure

Answer:

y= -x+3

Step-by-step explanation:

The slope is -1

The y-intercept is 3 if you count up with rise over run

Put it all together and you get y= -x+3

What is the surface area of the cylinder?




226.08 cm²

678.24 cm²

1,356.48 cm²

452.16 cm²

Answers

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

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equivalent means that the expressions same value, and looks the same. True or False.​

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Answer:

True

Step-by-step explanation:

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A charge of 100 elementary charges is equivalent to?

[tex] \sf{with \: explanation \: please}[/tex]

Answers

Answer: The charge is equal to 1.602*10^(-17) C

Step-by-step explanation:

The elementary charge (the smallest charge that exists) is the charge of one proton (or the magnitude of the charge of a single electron), and it is equal to:

c = 1.602*10^(-19) C.

Where C stands for coulombs,

Then a charge of 100 elementary charges is equal to 100 times the charge of a single electron, this is:

Charge = 100*( 1.602*10^(-19) C) = 1.602*10^(-17) C

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Answers

Answer:

x = 27

Step-by-step explanation:

Serena's average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?

Answers

Answer: She ran a total distance of 16 kilometers

Step-by-step explanation:

Average speed  by Serana is given as =  Distance  /Time

But Average speed  = 8 kilometers per hour

Time = 2hours

Distance = Average speed x Time

=8 km/h x 2hours

= 16 kilometers

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Answers

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

perimeter = 6+7+5+10+15

= 43

Four students in mrs. smiths math class write value involving exponents. The table shows each student’s value. Which student has the greatest value?
A. Alison
B. Chris
C. Hannah
D. Steve

Answers

Allison has 2^6 which is 64. Chris has 3^3 which is 27. Hannah has 4^2 which is 16 and Steve has 18^1 which is 18. Allison would have the highest. If I have 3^2 for example that is 3x3 which would be 9. 3^3 would be 27. Because 3x3x3 is 27.

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Step-by-step explanation:

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Answer:

1/3

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-5/4

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#3 2 Right, 4 Down & #4 Vertical Compression

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Answer:

0

Step-by-step explanation:

Answer:

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Answer:

The mode of sunday is 15 is correct

Select all the statements that are true about rectangles.
A Diagonals are congruent.
B Diagonals bisect angles.
C Opposite angles are congruent.
D Diagonals are perpendicular.
E Diagonals bisect each other.​

Answers

Answer:

its A, B, E AND MABEY C

Step-by-step explanation:

The statements that are true about rectangles are mentioned in options  [tex](A),(B),(C),(E)[/tex] .

What  are rectangles ?

Rectangles a shape with four sides and having internal angles of  [tex]90^0[/tex]. Two of the sides are longer than the other two. The opposite sides of the rectangle are equal in length.

Properties of Rectangle :

[tex](a)[/tex]  The opposite sides are  equal and parallel to each other.

[tex](b)[/tex]  The diagonals bisect each other but not at [tex]90^0[/tex].

[tex](c)[/tex]   Diagonals are equal in length.

[tex](d)[/tex]   The diagonals of rectangle are congruent.

[tex](e)[/tex]   The sum of interior angles is equal to [tex]360^0[/tex] .

[tex](f)[/tex]   Each interior angle is equal to [tex]90^0[/tex].

[tex](g)[/tex]   The angles of a rectangle are all congruent.

[tex](h)[/tex]    Opposite angles of a rectangle are congruent.

So, from the above mentioned properties we can assume that statements mentioned in options  [tex](A),(B),(C),(E)[/tex]  are true about rectangles.

Hence, we can say that the statements that are true about rectangles are mentioned in options  [tex](A),(B),(C),(E)[/tex] .

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I need help with the vocab

Answers

6. Endpoints.
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Find the median and mean of the data set below:
4, 45, 34, 23, 33

Answers

Answer:

27.8 is the mean... 33 is the median

Step-by-step explanation:

Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?

Answers

Answer:

Any choice that has a slope of -1/2

Step-by-step explanation:

-2x - 4y = 3

-4y = 2x + 3

4y = -2x - 3

y = -1/2x -3/4

y = mx + b

m = slope

PLease help me me need help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

A (90)

Step-by-step explanation:

Mode is the number that occurs the most in a data set, in this set, the number 90 appears 4 times as seen. Making it the mode

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angle 1 is also 54. 2 and 4 are verticals. 4 is 126

Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?

2x + 3 = 5x - 3

Answers

Answer:

2

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer:

2

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

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1: Y-intercept is 82
2: the y intercept represents the temperature it started at

part A- calculate the measure if Part b- calculate the measure of
PLEASE HELP ME ITS DUE In 10 mins please

Answers

Answer:

Step-by-step explanation:

Part A

Since, BDFHJ is a regular pentagon,

Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]

= [tex]\frac{(5-2)\times 180}{5}[/tex]

= 108°

Since, ∠ABC ≅ ∠JBD [Vertical angles]

Therefore, m∠ABC = m∠JBD = 108°

Part B

m∠JBD + mCBD = 180° [Linear pair of angles]

108° + m∠CBD = 180°

m∠CBD = 180 - 108

m∠CBD = 72°

Similarly, m∠BDF + m∠CDB = 180°

m∠CDB + 108° = 180°

m∠CDB = 180 - 108

             = 72°

In ΔCBD,

m∠BCD + m∠CDB + m∠DBC = 180°

m∠BCD + 72° + 72° = 180°

m∠BCD = 180° - 144°

              = 36°

An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need

Answers

Answer:

$68000

Step-by-step explanation:

Tax free earning = first 4000

Tax on remaining amount = 25%

Total earning in other to have $20000 net of tax earning :

Net of tax = tax free earning + (25% * remaining amount)

Let remaining amount = x

20000 = 4000 + (0.25 * x)

20000 = 4000 + 0.25x

20000 - 4000 = 0.25x

16000 = 0.25x

x = 16000 / 0.25

x = 64000

Hence,

Total earning should be :

Tax free earning + roaming amount

4000 + 64000

= $68000

A chef takes c cartons of eggs from the refrigerator. Each carton contains 12 eggs. The chef wants to have a total of at least 50 eggs.

Answers

Answer: 5 cartons

Step-by-step explanation:

If the Chef wants to have a total of at least 50 eggs and each carton contains 12 eggs, divide 50 by 12 to find out the number of cartons needed and then round the number up:

= 50 /12

= 4.16

Round it up to the nearest 1:

= 5 cartons

This will ensure that there is at least 50 eggs because 5 * 12 = 60 eggs.

A 3 pound package of ground beef sells for $6. At this rate, if John buys 10 pounds of
ground beef, how much would he pay?

Answers

Answer:

$20

Step-by-step explanation:

3 pounds of beef is 6 dollars.

6 divided by 3 is 2. Therefore, each pound cost $2.

He wants to buy 10 pounds of beef.

9 pounds would be $18.

Add 1 pound, which is $2 and you will get $20.

Therefore, he would pay $20!~

Hope this helps!~~ <3

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