Write the expression as a power with the base of 3 and find its value in the table of cubes



27·243

Answer:

27 · 243 = 3

=

Answers

Answer 1

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2  and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)


Related Questions

HELP PLZ RN<3
which graph displays a rate of change of 2.5?

Answers

Answer:

The second graph.

Step-by-step explanation:

The first graph has a negative slope, so that can't be the right answer.

The last graph isn't steep enough to show a rate of 2.5.

This leaves us with the middle graph which is correct.

What is an equation of the line that passes through the points (4, -1) and
(-8, – 7)? Put your answer in fully reduced form.

Answers

Answer:

y= x/2-3

Step-by-step explanation:

Bonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?

Answers

Bonnie paid 1.6$ per pound and Dan paid 2$ per pound
So the answer is 2$

-95=14x-7+30x

plz show work ty :)

Answers

Answer:

x = -2

Step-by-step explanation:

-95= 14x - 7 + 30x (collect like terms)

-95 = 44x - 7 (add 7 on each side)

-88 = 44x (divide by 44 on each side)

-2 = x

-95= 14x-7+30

-95= 14x+23
-23= 14x

-118=14x
X=8.42

Jessica had 167 dollars to spend on 6 books. After buying them she had 17 dollars. How much did each book cost ?

Answers

Answer:

6 $

Step-by-step explanation:

167$-17$=150$cost 6 books

150 $:6 =25$cost a book

Can anybody please help me out with this question please I would really appreciate it so much. please and thank you .

Answers

Answer:

∠ BAF = 140°

Step-by-step explanation:

Since BD is a tangent to the circle at point B , then

∠ ABD = 90°

The exterior angle of a circle is equal to the sum of the 2 opposite interior angles.

∠ BAF is an exterior angle, thus

∠ BAF = ∠ ABD + ∠ BDA = 90° + 50° = 140°

I agree with the person above

suppose y varies directly as x. If y = 30 when x = 8, find y when x = 4

Answers

Answer:

15

Step-by-step explanation:

I hope you have a great day and welcome to brainly!

PLEASE HELP!!
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for a reason “Cannot be determined.”

a

Is ∆GAS ≅ △_____

By rule____

Answers

Answer:

ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Step-by-step explanation:

The given information are;

Statement                                  [tex]{}[/tex]                               Reason

Segment [tex]\overline {SA}[/tex] is congruent to [tex]\overline {OL}[/tex]              [tex]{}[/tex]As shown in the diagram provided

∠SAG is congruent to ∠LOI               [tex]{}[/tex]       As shown  in the diagram provided

∠SGA is congruent to ∠LIO               [tex]{}[/tex]       As shown  in the diagram provided

Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles

Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.

Answer:

∆GAS ≅ △IOL By rule ASA, AAS

Step-by-step explanation:

By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles.  We already know that it can't be SSS or SAS because we have 2 angles, as I said.

If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles.  Therefore, our answer is ASA or AAS

I need help with this

Answers

Answer:

B

Step-by-step explanation:

What type of number is - v 81?

Answers

Answer:

rational

Step-by-step explanation:

On Monday, Jayla raised $30 and Carlos raised $50.
After that, Jayla raised $12 per day and Carlos
raised $7 per day. After how many days will they
have raised the same amount?

They will raise the same amount after days.

Answers

Answer:

84 days

Step-by-step explanation:

You would use the LCM to solve this.

12 and 7 don't share any common factors other than 1,

so you would multiply 12 x 7, which gets you 84.

After 84 days they would have raised the same amount.

4.)
Given ZBAM is a right angle and mZBAM = 4x + 22,
determine the value of x. Enter the NUMBER only.
Do NOT put x = . It will mark it wrong.
Your answer
I

Answers

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17

simplify.show work
(3·9-3²)-10


thanks please show work

Answers

Answer:

8

Step-by-step explanation:

We will use a variety of elementary arithmetic skills to evaluate this expression.

The order of operations goes as follows:

P-Parentheses

E-Exponents

M-Multiplication

D-Division

A-Addition

S-Subtraction

For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.

[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]

what is the absolute of the integer of 6​

Answers

Answer:

i think its 6...

Step-by-step explanation:

it's basically how far is it from 0 sooo

Answer:

6

Step-by-step explanation:

Positive 6 is six away from 0, therefore the answer is 6.

Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?

Answers

23.4. Doubling is twice the amount. So dividing 46.8 by 2 will give you the original number

Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel

Answers

Answer:

it’s neither parallel or perpendicular

Step-by-step explanation:

12. The perimeter of a rectangle is 50 feet. The width is 5 less than the
length. What are the dimensions of the rectangle? (Write your answer as
Length, Width)

Answers

Step-by-step explanation:

Length = x

Width = (x-5)

Perimeter = 2 lengths + 2 widths

50 ft = x + x + (x-5) + (x-5)

50 ft = 4x - 10

60 ft = 4x

15 ft = x

length = x = 15 ft

width = (x-5) = (15 -5) = 10 ft

dimensions = length × width

= 15 ft × 10 ft

if you wanna check,

50 ft = x + x + (x-5) + (x-5)

50 ft = 15 + 15 + (15-5) + (15-5)

50 ft = 30 +(10+10)

50 ft = 30 + 20

50 ft = 50

4. A person is earning P600 per day to do a certain job. Express the total salary
S as a function of the number n of days that the person works.​

Answers

Answer: S = P600 × n

Step-by-step explanation:

Amount earned per day = P600

Number of days used = n

The total salary s, will be the value of p600 multiplied by n. This will be:

= P600 × n

Therefore, the function regarding the total salary, s will be: P600 × n

x-2y=-13 4x=2y=18 subsitutuion

Answers

X=1,y=7
These are the answers

How many 1/8's are in 1/2 inch?
A.
8.
B
6
c
4
D
3

Answers

Answer:

C

Step-by-step explanation:

C because 4/8 = 1/2................................

I need help !!!!! Please !!!! Thank youuu

Answers

by the looks of the photo, it seems like R and S are the same. therefore, the answer would be B. 55
if R is the same as S, and R is 55 degrees, S will be the same.
i hope i helped!

Answer:

∠ S = 55°

Step-by-step explanation:

∠ R and ∠ S are vertical angles and congruent, thus

∠ S = ∠ R = 55°

(x + y + z = 3
-y = x
2z + 3y = 0
What does x and y equal?

Answers

Answer:

x=2 and y=-2

Step-by-step explanation:

What kind of transformation is illustrated in this figure?  

A) reflection
B) translation
C) dilation
D) rotation​

Answers

Answer:

Translation

Step-by-step explanation:

Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same

What is the rate of change of the following equation? 2y + x = -2​

Answers

Answer:

-1/2

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f(x)=x2,[2,3]f(x)=x2,[2,3]

−12-12

Triangle ABC is rotated by 135 degrees about point S to create A'B'C' what is the perimeter of ABC

Answers

Answer: 12.9

Step-by-step explanation:

5.1 + 2 + 5.8 = 12.9

The perimeter of the triangle ABC is 12.9 units.

What is the perimeter of a triangle?

The perimeter of a triangle is the sum of length of three sides of the triangle.

Given, the triangle ABC is rotated by 135 degrees about point S to create the triangle A'B'C'.

We know, after rotation of a figure, the whole dimension of the figure remains the same.

Therefore, AB = A'B' = 5.1 units

BC = B'C' = 2 units

CA = C'A' = 5.8 units

Hence, the perimeter of the triangle ABC

= (5.1 + 2 + 5.8) units

= 12.9 units

Learn more about the perimeter of a triangle here: https://brainly.com/question/19219426

#SPJ3

If you buy a ticket in a certain lottery game, 30% of the players will get paid 1
$2,20% of the players will get paid $5, and 5% of the players will get paid
$25. All other players get paid nothing. What is the expected amount that a
player of this lottery game will get paid?

Answers

Answer:

most are expected to get nothing

Answer:

You're at a carnival and you see a game. For $2 you roll a standard six-sided die. If the number showing is a six you win $10, otherwise, you win nothing. If you're trying to make money, is it in your interest to play the game? To answer a question like this we need the concept of expected value

Step-by-step explanation:

Is a teachers popularity independent of their effectiveness? Yes or No

Answers

Answer:

Yes it is (Hope this helped!)

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.​

Answers

Answer:

x3+y3+z3=k  with k is integer from 1 to 100

solution x=0 , y=0 and z=1 and k= 1

For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,

For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)

And (-1,1,1) or (1,-1,1)

=>(x+y)3−3x2−3xy2+z3=k

=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k

=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k

lety=αand z=β

=>x3=−α3−β3+k

For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)

Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)

For k= 3 we have 1 solution : (x,y,z) = (1,1,1)

For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)

For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)

For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)

For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)

For k = 24 we have (x,y,z) = (2,2,2)

For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)

for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)

For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)

For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)

For k =36

we have also solution : x=1,y=2andz=3=>

13+23+33=1+8+27=36 with k= 36 , we have the following

we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)

For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)

For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)

For k =54 => (x,y,z) = (13,-11,-7) ,

for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)

and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)

For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)

For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)

For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)

For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)

For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)

For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)

For k = 81 => (x,y,z) = (3,3,3)

For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)

k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)

(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)

=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99

For K = 92

6^3 + (-5)^3 +1 = 216 -125 +1 = 92

8^3 +(-7)^3

Step-by-step explanation:

An equivalent fraction for 2/3 is ____

2/6

10/15

8/15

1/3

Answers

1/3 APEX I have on my test

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

Answers

Answer:

17%

Step-by-step explanation:

$30-100%

$35-x%

x%=35*100/30

x%=116.6%

116.6%-100%=16.6%~17%

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