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sp2606 [1]
3 years ago
15

What is the sum of 5.3 x 10 to the fifth power and 3.8 x 10 to the fourth power in scientific notation

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0

Answer:5.6 x 10^5

Step-by-step explanation:

When ever we hear sum, what comes to our mind must be addition

Here we are Adding 5.3 x 10 to the fifth power= 5.3 x 10^5 to

3.8 x 10 to the fourth power = 3.8 x 10^4

First,

Expanding the scientific notation we have that

5.3 x 10^5 = 530,000

3.8 x 10^4=     38,000

Add           = 568,000

Putting back in Scientific notation  we have 568000 = 5.6 x 10^5

Anna35 [415]3 years ago
5 0

Answer:

5.68 x 10 to the 5th power

Step-by-step explanation:

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Karen's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 57 liters. What
guapka [62]

Answer:

Karen has to at least spend 11 minutes.

Step-by-step explanation:

This is because 57 - 13 = 44. 44 divided by 4 = 11. This means that in 11 minutes Karen will have a 57 liter tank. But she could keep going, but the least number of minutes would be 11 minutes, to get to 57 liters.

I hope this helps! Please mark me Brainliest if it did! Thank you and have a nice day!

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3 years ago
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WILL MARK BRAINLIEST!!!!!! PLEASE SHOW ALL WORK NESSISARY!!! SHOW FULL SOLUTIONS!!!!!! THANKS AND GOD BLESS!!!!
Irina-Kira [14]

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

  x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

8 0
3 years ago
How many centimeters are in 3.2 inches? [1 inch = 2.5 cm]
frez [133]
2.54 cm = 1 inch

3.2 inches * 2.54 cm / inch =8.128 centimeters



7 0
2 years ago
"Cheetahs are the fastest mammals in the world. The can reach speeds of 70 miles per hour. At this speed, how long would it take
goblinko [34]
17=70h
Divide each side by 70
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7 0
2 years ago
Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu
kakasveta [241]

Step-by-step explanation:

  • Natalie has $5000
  • She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

  • continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}

or

P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}

Here,

i = interest rate

= number of compounding periods

t = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, n, becomes infinitely large.

Therefore, the formula as we discussed above would become:

                                        P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

Part c) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₂ =\:6107.02 $

So, Natalie will have \:6107.02 $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₁₀ =13.597.50 $

So, Natalie will have 13.597.50 $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0
2 years ago
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