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shutvik [7]
3 years ago
6

Express this number in scientific notation.

Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

7.8^7*10

Step-by-step explanation:

So if you write the number out it would be 78,000,000.

Count how many zeros there are. In this case there are 6.

In order to do this right, the number you use for the answer must be in between 0 and ten. So you would use 7.8

If you move the decimal point back 7, you get your number.

Your equation should look like this:

7.8^7*10

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Step-by-step explanation:

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3 years ago
Can you guys help plss
Sladkaya [172]

Answer:

SN = \sqrt{49} = 7

Step-by-step explanation:

SN² + 24² = 25²

SN² + 576 = 625

SN² = 49

SN = \sqrt{49}

4 0
3 years ago
A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is lab
Anastasy [175]

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

<em>Question;</em>

<em>First Part</em>

<em>What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words</em>

<em>Second Part</em>

<em>How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit</em>

Explanation

The data points are presented in the following table;

\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, <em>y</em>, and the temperature at which they are sold, <em>x</em>, there is correlation between the <em>x</em> and <em>y</em> values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }

a = \bar y - b·\bar x

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

\bar y = 15, \bar x = 48.63636

\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410

\sum \left(x_i - \bar x\right )^2 = 3354.545

Therefore;

b = \dfrac{-410}{3354.545} = -0.12222

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

3 0
3 years ago
How to write 2/4 as a decimal
Oksana_A [137]

Answer: 0.5

Step-by-step explanation:

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Ralph bought and 8foot long copper pipe he used 85 investors of the copper pipe how many inches of pipe were left over
Yanka [14]

Convert the total length of the pipe from feet to inches.

1 foot = 12 inches.

8 feet x 12 inches = 96 total inches.

96 inches - 85 inches = 11 inches are left over.

4 0
4 years ago
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