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Gelneren [198K]
3 years ago
12

There are three groups of elderly residents at Bayside Residential Home, one with 14 members, the next with 23 members, and the

third with 17 members. The management is selecting a trip for the residents and each choice will cost a certain amount per resident. Write an expression to represent the total cost. Let c represent the cost of the trip per resident.
Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Total Cost - 54c

Step-by-step explanation:

Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.

Calculation,

Total of residence

14+23+17

= 54 residents

Hence, since there are 54 residents, total cost 54c.

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The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc
Anna35 [415]
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero. 

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

The minimized cost, y, to produce 1000 chips is then calculated to be $20. 
6 0
3 years ago
What is the length of the cylinder's height? Please help​
raketka [301]

Answer:

  • Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer

Step-by-step explanation:

In the question we are given ,

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  • Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

\longrightarrow \pink{ \boxed{Volume \:  of \:  Cylinder = \pi r {}^{2}h  }} \longleftarrow

Our solution starts from here :

\longmapsto \: \pi \: r {}^{2} h = 225\pi

<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :

\longmapsto \:  \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

\longmapsto \: (5) {}^{2}  \times h = 225

\longmapsto \: 25h = 225

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

\longmapsto \: h =  \frac{225}{25}

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

\longmapsto \:   \red{\boxed{h = 9 \: cm}}

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>

<h2 /><h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
8 0
2 years ago
1- Which relation is a function?
babymother [125]

Answer:


Step-by-step explanation:

1. bottom left


7 0
3 years ago
If n represents a number then write an expression for two less than one fourth of n
Ne4ueva [31]

Answer:  \frac{1}{4}n-2

This is the same as \frac{n}{4} - 2 and it is also equivalent to 0.25n-2

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

Explanation:

n is some placeholder for a number

one fourth of that number is \frac{1}{4}n which is the same as \frac{n}{4} or 0.25n since 1/4 = 0.25

From here, we subtract off 2 to get \frac{1}{4}n-2 as one possible final answer.

7 0
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The area of the square, the
const2013 [10]

Answer:

B.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

  • The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*πr^{2}

  • The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4r^{2}

=> the ratio of volume of the cone to the pyramid is:

= \frac{V1}{V2}

= (1/3*h*πr^{2} ) / ( 1/3*h*4r^{2} )

= π/4

S we can conclude that the volume of the cone equals π/4  the volume of the  pyramid

Hope it will find you well.

7 0
3 years ago
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