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3 years ago

How do you simplify numbers with exponents

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

7 0

You write it out then you’ll get the exponent

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Fill in the blank. I NEED AN ANSWER FASTTT

Yuri [45]

Answer:

It is =

Step-by-step explanation:

Because (6 x 1 = 6 ) + 1 x 1/100 = 6.1

5 0

2 years ago

A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

guajiro [1.7K]

We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation $A=45e^{-0.05t}$ .

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate $A=15$ and solve for t as:

$15=45e^{-0.05t}$

$\frac{15}{45}=\frac{45e^{-0.05t}}{45}$

$\frac{1}{3}=e^{-0.05t}$

Now we will switch sides:

$e^{-0.05t}=\frac{1}{3}$

Let us take natural log on both sides of equation.

$\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})$

$-0.05t\cdot (1)=\text{ln}(\frac{1}{3})$

$-0.05t=\text{ln}(\frac{1}{3})$

$t=\frac{\text{ln}(\frac{1}{3})}{-0.05}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}$

$t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}$

$t=-\text{ln}(\frac{1}{3})\cdot 20$

$t=-(\text{ln}(1)-\text{ln}(3))\cdot 20$

$t=-(0-\text{ln}(3))\cdot 20$

$t=20\text{ln}(3)$

Therefore, it will take $20\text{ln}(3)$ years for area of the glacier to decrease to 15 square kilo-meters.

6 0

3 years ago

Decrease 220kg by 12.5%.<br><br> NEED HELPPP!

Serga [27]

Hmm try 192.5 I think that’s right

6 0

3 years ago

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What is the mode of the data set shown below?

harina [27]

The mode of the data set: {10,2,8,9,5,2,6} is 2.
The reason why is because it’s the most frequent number being use. It occurs twice as you can see in the data set.

4 0

3 years ago

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Tim goes on a car journey. For the first 15 minutes his average speed is 40 mph. He then stops for 25 minutes. He then completes

serious [3.7K]

Answer:

sjdbebejnsnnsnnfnsnjcn g

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3 years ago