Two friends share 1/4 gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Help! Hurry!!! NO SPAM!!!!!!!! I will mark brainliest if you get it correct, and show your work. Determine whether f is an expon

borishaifa [10]

Answer:

Yes f is a function of x

Step-by-step explanation:

f(x) means fuctoin of x thats what it stands for.

and it has a constant ratio of 1/2. Hope this helps!!

mark me as brainliest

5 0

2 years ago

Here is a tunnel for a toy train.

jonny [76]

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid ( $A$ ) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

$A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)$

$A = 614.197\pi\,cm^{2}$

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters. $\blacksquare$

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0

2 years ago

Will give brainlist whoever asks correctly

Semenov [28]

Answer:

The answer is B.-3/2

Please correct me If I am wrong

Step-by-step explanation:

I use $\frac{rise}{run}$

Also, you automatically know that the line is decreasing

4 0

3 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$