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Marina CMI [18]
1 year ago
11

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a

gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?
Mathematics
2 answers:
daser333 [38]1 year ago
7 0
<span>Because5/3 >3/2 , the slope of the climbing equipment at the gym is greater.</span>
Dahasolnce [82]1 year ago
5 0

Answer: The comparison is mentioned below.

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

m_1=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, m_2=  10/6 = 5/3=1.67 (approx)

Since, m_1<m_2

Thus the slope of equipment first is less than slope of second equipment.


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A craftsman can sell 10 jewelry sets for $500 each. He knows
liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning=\text{Price of each set}\times \text{no of set}

Earning =(500-25n)(10+n)

E=5000+500n-25n^2-250n

differentiate to get the maximum value

\frac{dE}{dn}=-50n+250

Equate \frac{dE}{dn} to get maximum value

-50n+250=0

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n=5

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5 0
1 year ago
A freezer has a temperature of 14 degrees Fahrenheit. An ice-cube tray full of water is placed in the freezer. The function f(t)
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Answer:

  65

Step-by-step explanation:

You can use f(15) = 40 to solve for C, then find f(0), the initial temperature.

  40 = f(15)

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  26 = .50916C

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Then f(0) is ...

  f(0) = 51.065·e^0 +14 = 65.065 ≈ 65

The initial temperature of the water was 65 degrees Fahrenheit.

5 0
2 years ago
Read 2 more answers
H is directly proportional to the square root of p h= 5.4 when p = 1.44 find h when p =2.89
LenKa [72]

Answer:

h=7.65

Step-by-step explanation:

H is directly proportional to the square root of p;

Let k be the constant of proportionality;

Means h=k√p

This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;

h1/√p1=h2/√p2

Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)

So that

5.4/√1.44=h/√2.89

5.4/√1.44 ×√2.89 = h

7.65= h

h=7.65

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Answer:

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