1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANTONII [103]
2 years ago
14

Rewriting exponential expressions

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
4 0

Answer:

-65/81

Step-by-step explanation:

( \frac{2}{3} ) {}^{x} ( \frac{2}{3} ) {}^{4}  - ( \frac{2}{3} ) {}^{x}

(\frac{2}{3} ) {}^{x} ( \frac{16}{81}  - 1)

( \frac{2}{3} )( \frac{ - 65}{81} )

You might be interested in
Find the absolute value.<br> |18|
mezya [45]

Answer:

18

Step-by-step explanation:

The absolute value means how far it is from 0 and 18 it 18 numbers from 0! For negative numbers its the same |-18| would be 18 as well because it is 18 numbers from 0.

5 0
3 years ago
A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?
Neporo4naja [7]

<u>Answer</u>

748.23 in²


<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the  hexagon = 101.8 ÷ 6

                                            = 19.96666..

                                            = 19.9667 inches

Area of the  hexagon = 1/2 × height × base length × 6

                                     = 1/2 × 14.7 × 19.9667 × 6

                                      = 748.23 in²

7 0
3 years ago
Read 2 more answers
A football team lost 5 yards on each 3 plays. explain how you could use a number line to find the team's change in field positio
ollegr [7]
<span>A football team lost 5 yards on each 3 plays.
Let’s use a number line to be able to see how far in the field did they lost in 3 games.
=> 1 : 5  (1 game is to 5 yards)
=> 3 : 15 (3 games is to 15 yards )
All in all they lost 15 yards in 3 games.
pls. see attachment for more presentation.</span>



5 0
3 years ago
Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it al
Andreas93 [3]

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

3 0
3 years ago
Use the rule to write the first five terms of the pattern.
AlekseyPX

Answer:

A =First term of the pattern = 11

To find the first five terms we have to use the rule which is

Add 10 to first term and then subtract 5 from it.Which is equivalent to

= A +10 -5

1. Second Term = 11 + 10 -5

  = 21 - 5

   =16

→Third term = 16 +10-5

        = 26 - 5

       = 21

→Fourth term : 21 + 10 - 5

     = 31 -5

      = 26

→Fifth term : 26 +10 -5

                = 36- 5

                = 31

→Sixth term:

=31 + 10- 5

= 41 -5

 = 36

So, the first five term apart from 11 is 16, 21,26,31,36 which is an Airthmetic progression.



4 0
3 years ago
Read 2 more answers
Other questions:
  • Every 3 days seth goes to the grocery store. his best friend brian goes every 5 days. on what day will they both go to the store
    9·2 answers
  • The following table shows the relationship between the time taken to perform the jumps by Maria. Determine whether the number of
    9·2 answers
  • Geoff and hazel bought a new car for $25,000. The car loses approximately 15% of its value each year.
    13·2 answers
  • Can y'all pleas help me with this
    12·2 answers
  • Evaluate each expression.<br> 1) 10x5+4²+(5+30-10)<br> ezzyy
    6·1 answer
  • What is the value of the negative zero of the function, f, defined by<br> f(x) = x^2 - 16
    13·1 answer
  • Please help will brainliest all please
    8·1 answer
  • Please help worth 20 points! (this is legit my math grade .-.)
    8·2 answers
  • Write as a product of two binomials by factoring.<br> x2+7x+12
    15·2 answers
  • Solve please I need help 3x+6=-2
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!