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Westkost [7]
3 years ago
15

A can of soda weighs 336 grams. find the weight in kilograms of 20 cans.

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0
20 cans in kilograms = 336 grams * 20 cans / 1000 = 6.72 kg
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Simplify the ratio 19:114
masha68 [24]
19:114 =  \frac{19}{114} ÷ \frac{19}{19} =  \frac{1}{6} = 1:6 \ \textless \ -answer
8 0
2 years ago
Notebook cost $8.50 plus sales tax. After sales tax, The Notebook is $8.86. What is the sale tax rate?
statuscvo [17]

Answer:what is 86-50=36 us the tax rate


Step-by-step explanation:


5 0
3 years ago
Which of the following is an example of quantitative data? A the player’s number on a baseball uniform B the serial number on a
Taya2010 [7]

Answer:

The number of people in a waiting line is a quantitative data as we can count them.

Step-by-step explanation:

Consider the provided information.

The value of quantitative data can be determined by counting or measuring something.

Now consider the provided options.

The player’s number on a baseball uniform, the serial number on a one-dollar bill and the part number of an inventory item is not a quantitative data because we can't  measure them.

The number of people in a waiting line is a quantitative data as we can count them.

7 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
Given the following statistics for women over the age of 50 entering our medical clinic: 1% actually have breast cancer 90% of t
vazorg [7]

Answer: 91.2%

Step-by-step explanation:

Of the 1% of women that have breast cancer, 90% of those are tested positive with 8% of those being false positive. 8% of 90% is 8.8% so 91.2% chance.

4 0
3 years ago
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