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
vesna_86 [32]
3 years ago
11

Please help!

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

You might be interested in
Could you answer the question number b​
fomenos

Answer:

450 - 120 - 80

=250

2/5 × 250 = 100. A

3/5 × 250 = 120 B

7 0
3 years ago
Read 2 more answers
Pre image ABCD was dilated to produce image A’B’C’D why is the scale factor from the pre image? Enter your answer in the box as
shepuryov [24]

The scale factor of the dilation from ABCD to A′B′C′D′ is 3.

Step-by-step explanation:

Step 1:

In the pre-image ABCD, the length of one of the sides is given as 14 units.

For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.

Step 2:

To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the given length of the sides CD and C′D′.

So the scale factor = \frac{C^{1} D^{1} }{CD} = \frac{8}{14} = \frac{4}{7} .

So the shape ABCD is dilated by a scale factor of \frac{4}{7} to produce the shape A′B′C′D′.

7 0
4 years ago
Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15
Vlad [161]
Es el literal A 78 centimetros

3 0
3 years ago
Find the length of the curve x=e^t e^{-t},\;\;y=5-2t,\;\;0 \le t \le 3.
Oksana_A [137]
\begin{cases}x(t)=e^t+e^{-t}\\y(t)=5-2t\end{cases}\implies\begin{cases}x'(t)=e^t-e^{-t}\\y'(t)=-2\end{cases}

The length of the curve is given by the integral

\displaystyle\int_0^3\sqrt{(e^t-e^{-t})^2+(-2)^2}\,\mathrm dt

Expand and rewrite the integrand:

(e^t-e^{-t})^2+(-2)^2=e^{2t}+2+e^{-2t}
=e^{-2t}(e^{4t}+2e^{2t}+1)
=e^{-2t}(e^{2t}+1)^2
\implies\sqrt{(e^t-e^{-t})^2+(-2)^2}=\dfrac{e^{2t}+1}{e^t}

Now the integral is

\displaystyle\int_0^3\dfrac{e^{2t}+1}{e^t}\,\mathrm dt=\int_0^3(e^t+e^{-t})\,\mathrm dt
=2\displaystyle\int_0^3\cosh t\,\mathrm dt
=2\sinh t\bigg|_{t=0}^{t=3}
=2\sinh 3
7 0
3 years ago
What new ideas about mathematics you have learned​
galina1969 [7]

space, space ,space and oh space

5 0
3 years ago
Other questions:
  • 10 boys share 7 cereal bars equally ,what fraction of a cereal bar does each boy get ?
    10·2 answers
  • there are 13 teams of cheerleaders at a competition. the order of performance is determined at random. what is the probability t
    15·1 answer
  • A laptop battery has 84% power after 1 hour of use and 68% after 2 hours of use.
    10·1 answer
  • Which two ordered pairs represent a proportional relationship? A. (2, 2) and (2, 4) B. (1, 2) and (2, 4) C. (3, 3) and (2, 4) D.
    11·1 answer
  • Estimate.<br> 24.12 dived by 8.1 <br><br> A. 2<br> B. 2.9<br> C. 3<br> D. 3.9
    8·2 answers
  • 1) (x2 + 5x - 36) + (x +9)
    13·1 answer
  • What is the distance between the following points?
    11·2 answers
  • Tcoleman3rd<br> here is your pounts
    14·2 answers
  • Help me with this <br>ans should be well explained ​
    7·1 answer
  • A Circular pie with a diameter of 10” Is cut into six equal pieces. What is the surface area of two slices of pie?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!