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kati45 [8]
3 years ago
15

Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second

is 4.84.8 times ×10 Superscript 5105 gallons. How much water flows over the falls in an​ hour? Write the result in scientific notation.​ (Hint: 1 hour equals 3600​ seconds)
Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
Given that <span>the average volume of water that flows over the falls each second is 4.8 \times 10^5 gallons.

There are 3,600 seconds in one hour.

Thus, in one hour, 4.8 \times 10^5\times3600=17280\times10^5=1.728\times10^9 gallons of water </span><span>flows over the falls.

</span>Therefore, the amount of water that flows over the falls is <span>1.728\times10^9.</span>
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Whats 1-2x+3y for x=-2 and y=-5 ?​
lawyer [7]

Answer:

-10

Step-by-step explanation:

2*-2=-4

3*-5=-15

1-(-4)+(-15)=-10

5 0
3 years ago
A mixture of alcohol and water contains a total of 60 oz of liquid there are 12 oz of pure alcohol in the mixture was a percenta
OlgaM077 [116]

Answer:

The mixture contains 80% water and 20% alcohol.

Step-by-step explanation:

Given:

Total Amount of mixture = 60 oz

Amount of alcohol in the mixture = 12 oz

We need to find the percentage of water and percentage of alcohol in the mixture.

Solution:

First we will find the amount of water in mixture.

Now we know that;

Total Amount of mixture is equal to sum of Amount of alcohol in the mixture and amount of water in mixture.

so we can say that;

amount of water in mixture = Total Amount of mixture - Amount of alcohol in the mixture

amount of water in mixture = 60-12 =48\ oz

Now we will find the Percentage amount of water.

Percentage amount of water can be calculated by dividing amount of water in mixture by Total Amount of mixture and then multiplying by 100.

framing in equation form we get;

Percentage amount of water = \frac{48}{60}\times 100 = 80\%

Percentage amount of alcohol = 100\%-80\%=20\%

Hence The mixture contains 80% water and 20% alcohol.

7 0
3 years ago
Is 32.725 = to 32.735
Arturiano [62]

Answer:

no it is not 32.725 is 0.01 less than

8 0
3 years ago
Use the Binomial Theorem/Pascal's Triangle to expand (2a + 2b)^5
pochemuha

Answer:  

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

============================================================

Explanation:

Let's use Pascal's Triangle

In the row that starts with 1,5,... we have the values 1,5,10,10,5,1

These will be the coefficients of the terms.

Let x = 2a and y = 2b

We want to expand out (x+y)^5

Using pascals triangle, we get the following expansion

(x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5

The numbers in bold are the coefficients 1,5,10,10,5,1 found earlier.

Note how the exponents for x start at 5 and count down to 0; while the y exponents start at 0 and count up to 5. For any term, the x and y exponents always add to 5 for the expansion of (x+y)^5. In general, the exponents of any term will add to n for (x+y)^n.

At this point, we plug in x = 2a and y = 2b

Since this will clutter things a bit, I'll do it term by term

  • 1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^5
  • 5x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b
  • 10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^2
  • 10x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^3
  • 5x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^4
  • 1x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5

So in the end, the expression (2a+2b)^5 expands out to

32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5

The binomial theorem uses the same basic idea, but instead of using Pascal's Triangle to get the coefficients, you'll use the nCr combination formula.

8 0
3 years ago
9 + 7b - 666 +268 The polynomial in standard form​
iVinArrow [24]

Answer:

7b-389

Step-by-step explanation:

This is the polynomial in standard form. Hope this helps!

3 0
2 years ago
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