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Irina18 [472]
3 years ago
7

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Mathematics
1 answer:
KIM [24]3 years ago
4 0

you are looking for a unit rate (for 1 quart of red, how much white is used).

notice all red amounts are less than white, so b and c make no sense.

I look at the 4:20 and think, half of the paint would be 2:10, half of that is 1:5

(you could also start with 4:20 and divide each by 4 to get this answer)

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Calculate the area under the graph of f(x) = 1/xlnx from x = e to x = e^e
Gnom [1K]

Using integration, it is found that the area under the graph of f(x) in the desired interval is of 1 unit squared.

<h3>How is the area under a graph found?</h3>

The area under the graph of a curve f(x) between x = a and x = b is given by the following integral:

A = \int_{a}^{b} f(x) dx

In this problem, the function and the limits of integration are given by:

f(x) = \frac{1}{x\ln{x}}

a = e, b = e^e

Hence:

A = \int_{e}^{e^e} \frac{1}{x\ln{x}} dx

Using substitution:

u = \ln{x}

du = \frac{1}{x} dx

dx = x du

Hence:

\int \frac{1}{x\ln{x}} dx = \int \frac{1}{u} du = \ln{u} = \ln{\ln{x}}

Applying the Fundamental Theorem of Calculus:

A = \ln{\ln{e^e}} - \ln{\ln{e}} = \ln{e\ln{e}} = \ln{\ln{e}} = \ln{e} - \ln{1} = 1

Hence, the area under the graph of f(x) in the desired interval is of 1 unit squared.

To learn more about integration, you can take a look at brainly.com/question/20733870

7 0
3 years ago
A recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peopl
kirill115 [55]

This question can be answered using two ratios.

You know that 3 pounds of tomatoes can serve 5 people, giving you the ratio 3/5.

You would like to know how many pounds would serve 110 people, giving you the ratio x/110.

Since the ratio of tomatos to people is a constant, you can set the two ratios equal.

3/5  =   x/110

Now you would solve for x by cross multiplying.

110*3 = 5*x

330 = 5x

330/5 = x

66 = x

This means 66 lbs of tomatoes can serve 110 people.

6 0
3 years ago
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Answer this question.. Anyone who want increase the level but having brainliest. then answer​
Elanso [62]

Answer:

You did it correctly what answer you want ??

4 0
3 years ago
PLEASE HELP ASAP!!!!!!!! NEED HELP ASAP!!!!!!!
bazaltina [42]

Answer:

x = 10

y = 14

Step-by-step explanation:

Here, we want to get the values of x and y

Since all sides are equal, the internal angle is 60 degrees for each internal angle

Since AC = 14

Then y is also 14 since what we have is an equilateral triangle

Secondly ;

6x = 60

x = 60/6

x = 10

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3 years ago
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The associative property states that the way in which the way are grouped in a sum ...?
9966 [12]

Answer:

Step-by-step explanation:

The way in which terms are grouped in a sum is immaterial; the sum will be the same no matter where each added appears.

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