how do we do thisss
3^-2 × 3^x = 81 ​

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then

[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is

[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]

Since the bases on both sides are equal, both 3 then equate the exponents

x - 2 = 4 ( add 2 to both sides )

x = 6


Related Questions

PLEASE HELP FAST (ALL OF THEM PLESE)

Answers

1. En el carro, me pongo El cinturón de seguridad antes de encenderlo

2. En mi carro, tango de eluna placa de California con numeros y letras

3. Necesito llenar el tanque de gasolina de mi carro antes de manejar al trabajo

4. Uso la bocina en el volante cerca de las curvas


(I don’t speak Spanish all that well, but I am pretty positive these are correct)

Find the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​

Answers

Answer:

1/3 + 1/12 = 5/12

Step-by-step explanation:

Take a look on the picture

There are the solutions

to get the correct answer

Hope it helps

#LetsStudy

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The  product of 3/5 and 5/9 is,

Product = 3/5 × 5/9

= (3×5)/(5×9)

= 15 / 45

= 1/3

The  product of 5/9 and 3/20 is,

Product = 5/9 × 3/20

= (5×3)/(9×20)

= 15 / 180

= 1/12

Now, the sum of the two products can be done as shown below,

Sum = 1/3 + 1/12

       = 4/12 + 1/12

       = (4+1)/12

       = 5/12

Hence, the sum of the product of 3/5 and 5/9 and the product of 5/9 and 3/20​ is 5/12.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ5

(a) State whether each of the following is a function. (6, 2), (8,2), (6,3), (12,3) Yes / No ​

Answers

Answer:

Not a function.

Step-by-step explanation:

The definition of a function specifies that no value of x can be paired with two or more different values of y.  

In the given relation:  {(6, 2), (8, 2), (6, 3), (12, 3)},

The input value of x = 6 has two corresponding output values (y-coordinates): 2 and 3.

Therefore, the given relation is not a function.

what type of sequence is 1,215,405,135,45...?
I need an explanation to this question. ​

Answers

Answer:

Decreasing Geometric Sequence

Step-by-step explanation:

A geometric sequence is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed value. Here, we can multiply by 1/3 each time to get the next number, and out sequence is decreasing, so we have a DGS

Let's divide terms

[tex]\\ \sf\longmapsto r=\dfrac{405}{1215}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{135}{405}=\dfrac{1}{3}[/tex]

[tex]\\ \sf\longmapsto r=\dfrac{45}{135}=\dfrac{1}{3}[/tex]

It's a decreasing Geometric sequence

Which is the numerical coefficient of the algebraic expression 15 + 10?​

Answers

Answer:

15+10=5(3+2)

Step-by-step explanation:

the value of /14-15/ is​

Answers

1
/14-15/ is 1 as // won’t be negative as absolute value is always positive

10 Jim was thinking of a number. Jim subtracts 14 from it and gets an answer of 43.9. What was the original number?

Answers

57.9 add 14 to the answer and you get your number

Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one

Answers

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.

Pls answer this and explain!

Answers

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answers

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.

Helppppppppppp asapppppppppppp

Answers

Answer:

Step-by-step explanation:

First, you have to use the law of cosines which is c² = a² + b² - 2abcosФ where Ф is the angle measure between sides a and b. So, just plug-in a = 10, b = 12, and Ф = 72 into the equation and you will get (I won't show all the calculations):

c = 13.0321

Then plug that into the area formula to get:

(0.5)(10)(12)(0.225496911)

Which is about:

13.53

solve pls brainliest

Answers

1. Yes. Terminating decimal. 2. Yes. Repeating decimal. 3. Yes. Repeating decimal. 4. No. Neither

There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?

Answers

The answer is c) 13 dollars and 16 nickels
Explanation:
276/20 is equal to 13.80$

Answer:

C:$13. 16 nickles left

Step-by-step explanation:

i know i took this test to on time4learning

What is another word for the input values in a proportional table.

a) y-values


b) output values


c) plug in value


d) x-values

Answers

D because the input value is also Known as the X value

identify the construction that the figure represents

Answers

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm

Answers

The temperature at 2:00Pm would be -26 degrees

HELP ME PLEASE PLEASE ILL MARK BRAINLIEST

Answers

Answer:

its 5

Step-by-step explanation:

I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5

1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?

It is 3 times greater

It is 10 times greater

It is 47 times greater

It is 50 times greater

Answers

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

Linda has 28 jackets 7 of them so it have a cap write 2 ratios that compare the number of jackets without caps to the number of jackets with caps?​

Answers

Answer: (5/12)m

Step-by-step explanation: hope this helps (~﹃~)~zZ

bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)​

Answers

Answer:

1.2

Step-by-step explanation:

8.8 - 2.2 x 4 + 1.2

8.8 - 8.8 + 1.2

1.2

Write the recursive and explicit formulas for the given sequence 4, 7, 10, 13

recursive formula: explicit formula:

a,1 = a,n =

a,n =

Answers

Answer:

the answer to your question is 45 over 6

Answer:

45/6 or simplified 15/2

Step-by-step explanation:

If
x
=
4
and
y
=
7
, evaluate the following expression:
20

(
3
y

4
x
)

Answers

Answer:

15

Step-by-step explanation:

given solution

x=4 20-(3y-4x) substitute

y=7 20-(3(7)-4(4))

20-(21-16)

20-5

answer =15

5,8,6,9,7,10,8 what is the 20th term

Answers

Answer:

17

Step-by-step explanation:

the sequence is plus 3 minus 2. I forgot the actual formula for these kinds of questions but i vaguely remember

an = d (n - 1) + c

I was never able to remember how to use the formula but the sequence would be

5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17,15,18,16,19

if you'll notice, every other number is just one more than the last number...

so the 20th term is 17

Answer:

5,8,6,9,7,10,8,11,9,12,10,13,11,14,12,15,13,16,14,17...

20th term is 17

Step-by-step explanation:

add 3, subtract 2

plz help??????????????????????

Answers

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

Let P be between M and N use the segment addition postulate to solve for X

Answers

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

x - 8 + 3x - 9 = 21

4x - 17 = 21

4x = 21 + 17

4x = 38

x = 38/4 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.

Answers

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

If the simple interest on $4,000 for 5 years is $1,400, then what is the interest rate?

Answers

Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!

1) What is the measure of A) 350
B) 60°
C)110°
D) 120

2) Given that A)35
B)60
C)65
D)120

Answers

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

list the first six multiples of 6

Answers

Answer: 6, 12,24,30,36

Step-by-step explanation:

Hope this helps! :)

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