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2 years ago

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:

5 1

2 years ago