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2 years ago

The mystery number (x) has been ordered with these numbers 9723654 9852000 x 10000000

Mathematics

1 answer:

KIM [24]2 years ago

3 0

Answer: 9.723654e13

9.7239.723654e13

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If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?

Darina [25.2K]

Answer:

$n=30$

Step-by-step explanation:

Given expression:

$3^1\times 9^2\times 27^3\times 81^4$

The given expression needs to be simplified to the form $3^n$

Applying the exponents rule to simplify.

$3^1\times 9^2\times 27^3\times 81^4$

Writing all numbers as product of 3.

⇒ $3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4$

Writing each in exponents form.

⇒ $3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4$

Using power of a power rule $[\ (a^x)^y=a^{xy}\ ]$

⇒ $3^1\times 3^4\times 3^9\times 3^16$

Using multiplication rule of exponents $[\ a^x\times a^y=a^{x+y}\ ]$

⇒ $3^{1+4+9+16}$

⇒ $3^{30}$

So we have $3^n=3^{30}$

∴ $n=30$

8 0

2 years ago

What is the distance ab rounded to the nearest tenth when a=(-1,2) and b=(1,-2).

Tom [10]

Answer:

it gives you the formula, so all you have to do is plug in the coordinates

Step-by-step explanation:

7 0

2 years ago

A=L times W

Dovator [93]

A= 30ft, because you only have to multiply LxW= A that is equal to 2x15=30ft

8 0

3 years ago

The table represents a linear function.<br> What is the slope of the function?

TEA [102]

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope $m$ of the line joining the points is

$m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}$

The slope of the function is -4.

3 0

2 years ago

The temperature in frostville was at 50*F at midnight,and it dropped at a constant rate for the next 10 hours.

bazaltina [42]

After 10 hours the temperature is shown on the graph as 30 degrees.

50 degrees - 30 degrees = 20 degrees.

The temperature dropped 20 degrees in 10 hours.

Divide the change by the time:

20 degrees / 10 hours = 2 degrees per hour.

Because the temperature dropped, the change would be negative.

The answer is D. -2 degrees per hour.

5 0

3 years ago