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san4es73 [151]
2 years ago
8

What is the common difference in this sequence?{48, 32, 16, 0, ...

Mathematics
2 answers:
julia-pushkina [17]2 years ago
8 0
The common difference in this sequence is -16 because each number decreases by 16 from the last
lorasvet [3.4K]2 years ago
8 0
The common difference in the sequence is 16
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PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">
AveGali [126]

The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

Solution:

Given expression is 4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}

Using exponent rule: \frac{1}{a^{-m}}=a^m

$\Rightarrow4x \cdot x^{5}.x^{-3}

Using another exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x \cdot x^{5-3}

$\Rightarrow4x \cdot x^{2}

Using exponent rule: a^m \cdot a^n=a^{m+n}

$\Rightarrow4x^{1+2}

$\Rightarrow4x^3

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3} is 4x^3.

8 0
3 years ago
How do you write <br> 3.7 × 104 in standard form
Sedbober [7]

the answer is

37 \times  {10}^{ - 1}  \times 1.04 \times  {10}^{2}

4 0
3 years ago
Solve the following system of equations using a method of your choice.
dusya [7]

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

8 0
2 years ago
Zmień jednostki prose o pomoc
Len [333]

Answer:

42300000

Step-by-step explanation:

Use known fact

1\ km=1000\ m

Consider 1 square kilometer:

1\ km^2=1\ km\times 1\ km=1000\ m\times 1000\ m=1000000\ m^2

So, to find the answer, you have to multiply given number of square kilometers by 1000000:

42.3\ km^2=42.3\times 1000000\ m^2=42300000\ m^2

4 0
3 years ago
A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a
Mamont248 [21]

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

<3

5 1
2 years ago
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