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evablogger [386]
3 years ago
10

A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the squar

e (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Area as a function of length can be written as

f(l) = l^2

And volume of cube can be expressed as a function of side s as,

f(s) = s^3
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Stels [109]
Can you explain it more clear because my english is not very good, I want to easy to help you
3 0
3 years ago
GRAHAM CORPORATION
astra-53 [7]

Answer:

<h2>Net proceed= s-0.98nd-11</h2>

Step-by-step explanation:

Given that the shares cost $d

n shares will be =$dn

paid 2% commission to her broker= (2/100)*nd= 0.02nd

sold the share for $s

paid a fee of $11

Her net proceeds algebraically will be

Net proceed= s-nd-11-0.02nd

collect like terms

Net proceed= s-(nd-0.02nd)-11

Net proceed= s-0.98nd-11

5 0
3 years ago
A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h
attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

#SPJ1

8 0
2 years ago
A waterslide is rented at $500 per day plus a charge per hour of use. The bounce house was used for 5 hours one day, and the tot
Mazyrski [523]

Answer: 500+5x=800

Step-by-step explanation:

Given: The rent of waterslide per day  = $500

Let x be the a charge per hour of use.

The number of hours bounce house was used  = 5 hours

Since, the total charge was $800.

Therefore, the equation can be used to find the charge x, in dollars, per hour of use is given by :-

Fixed charge+5 times x=Total charge

\Rightarrow500+5x=800

4 0
3 years ago
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Solve for x: 81^ x-4=9^3x<br><br>Show all work for brainliest
guajiro [1.7K]

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059

Step-by-step explanation:

5 0
3 years ago
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