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elena-s [515]
2 years ago
7

The simplified form of an expression is StartFraction 1 Over 256 EndFraction t Superscript 28. Which expression was simplified?

(256 t Superscript negative 7 Baseline) Superscript 4 (4 t Superscript 28 Baseline) Superscript negative 4 (256 t Superscript negative 7 Baseline) Superscript negative 4 (4 t Superscript negative 7 Baseline) Superscript negative 4
Mathematics
2 answers:
katovenus [111]2 years ago
6 0

Answer:

(4 t Superscript negative 7 Baseline) Superscript negative 4

Step-by-step explanation:

1/256 *(t^28)

=t^28/256

= t^28 / 4^4

Multiply t^28 with the inverse of 4^4

= t^28 4^-4

= (t^-7 * 4)^-4

= (4t^-7)^-4

(4 t Superscript negative 7 Baseline) Superscript negative 4

IRISSAK [1]2 years ago
4 0

Answer:

(4t^-7)^14

Step-by-step explanation:

In other words, the answer is D

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Answer:

D

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
What’s the difference of -36 and 3
Elanso [62]

Here is you're answer:

Remember you're subtracting integers so remember to use KCC. (Keep, Change, Change)

  • -36 - 3 =
  • Apply KCC:
  • -36 + -3 =
  • Now solve:
  • -36 + -3 = -39
  • = -39

Therefore you're answer is "-39."

Hope this helps!

8 0
3 years ago
4. A rectangular back yard ice rink is to have an area of 1200m, and will be surrounded by boards. [6]
tamaranim1 [39]

Answer:

<h2>20 meters by 60 meters.</h2><h2>80 boards.</h2>

Step-by-step explanation:

We know that the ice rink is 1200 square meters, which means to enclose the rink we need dimensions of 20 meters by 60 meters, to have 1200 square meters of area.

Now, the boards are on the perimeter of the ice rink with dimensiosn 20 meters times 60 meters. So, its perimeter is

P=2(l+w)=2(60+20)=2(80)=160m

If each board is 2.0 meter long, that means we can divide to find the total number of boards we can have on the ice rink:

n=\frac{160}{2} =80

Therefore, with those dimensions, we can have 80 boards surrounding the ice rink.

7 0
3 years ago
Geometry can be defined as
igor_vitrenko [27]

Answer:

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Step-by-step explanation:

5 0
3 years ago
Determine if the two triangles are congruent. If they are, state how you know
Alborosie
<h3>Answers:</h3>
  1. Congruent by SSS
  2. Congruent by SAS
  3. Not congruent (or not enough info to know either way)
  4. Congruent by SAS
  5. Congruent by SSS
  6. Not congruent (or not enough info to know either way)
  7. Congruent by SAS
  8. Congruent by SAS

==================================

Explanations:

  1. We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.
  2. We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.
  3. We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise.
  4. We can use SAS like with problem 2. Vertical angles are always congruent.
  5. This is similar to problem 1, so we can use SSS here.
  6. There isn't enough info, so it's pretty much a repeat of problem 3
  7. Same idea as problem 4.
  8. Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS

The abbreviations used were:

  • SSS = side side side
  • SAS = side angle side

The order is important with SAS because the angle needs to be between the sides mentioned.

5 0
2 years ago
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