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GaryK [48]
3 years ago
12

Wendy is looking over some data regarding the strength, measured in Pascals (Pa), of some rope and how the strength relates to t

he number of woven strands in the rope. The data are represented by the exponential function f(x) = 2x, where x is the number of woven strands. Explain how she can convert this equation to a logarithmic function when strength is 256 Pascals.
Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
F(x)=2^x
Lets say f(x) is y
Y=2^x
Take log both side
Log(y)=log(2^x)
Logy=log2^256
logy=256×log2
By Log property
Logy=77.06

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Find the limit of the function by using direct substitution. limit as x approaches four of quantity x squared plus three x minus
Yuliya22 [10]
\lim_{x \to 4} f(x)=x^2+3x-1
just subsitute
f(4)=4²+3(4)-1
f(4)=16+12-1
f(4)=28-1
f(4)=27

it approaches 27 as x approaches 4
5 0
3 years ago
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If you take a number multiply by 7 then takeaway 1. You get the same as if you took the number multiply by 5 then takeaway 8. Wh
muminat
7x - 1 = 5x - 8
Minus 5x on each side
2x -1 = -8
Plus 1 on each side
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Divide by 2 on each side
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7 0
2 years ago
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Name two solutions to y = 3x - 5
wlad13 [49]

Answer:

(1,-2) and (0,-5) (There are an infinite amount more)

Step-by-step explanation:

The easiest way to find solutions is to plug in an x value. Let's try 1:

y = 3(1) - 5⇒y = 3 - 5⇒y = -2

(1,-2)

Let's try 0:

y = 3(0) - 5⇒y = 0 - 5 ⇒y = -5

(0,-5)

6 0
3 years ago
a rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE
Anna [14]
If A=w(50-w)

A=50w-w^2

dA/dw=50-2w

d2A/dw2=-2

Since the acceleration is a constant negative, that means that when velocity, dA/dw=0, it is at an absolute maximum for A(w)...

dA/d2=0 only when 50=2w, w=25

So as the case with any rectangle, the perfect square will enclose the greatest area possible with respect to a given amount of material to enclose that area...

So the greatest area occurs when W=L=25 in this case:

A(25)=50w-w^2

Area maximum is thus:

Amax=50(25)-(25)^2=625 u^2
7 0
3 years ago
A class is selling magazines as a fundraiser. Of the 200 magazines sold, Ananda sold 1/8 of them. Gina sold 0.065 of the magazin
Zina [86]
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3/100 * 200 = 6

200 * 0.105 = 21.

Fatima sold the most magazines.
5 0
3 years ago
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