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Ber [7]
4 years ago
12

If ps=6cm and pt=9cm what is pr

Mathematics
1 answer:
devlian [24]4 years ago
4 0
Use metric relations:
TP*PR=PS^2
TS*SR=TR*PS
TP*TR=TS^2
RP*RT=RS^2

Using the first relation,
TP*PR=PS^2
=>
9*PR=6^2
solve for PR
PR=6^2/9=36/9=4

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If f(x) is an exponential function where f(4.5) = 16 and f(9.5) = 60, then find
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The value of f(15), to the nearest hundredth is 253.88

The standard exponential equation is given as:

  • y = ab^x
  • f(x) = ab^x

If f(4.5) = 16, then;

16 = ab^4.5 ..............1

Similarly, if f(9.5) = 60, then:

60 = ab^9.5 ........................... 2

Dividing both equations will give:

60/16 = ab^9.5/ab^4.5

60/16 = b^9.5-4.5

60/16 = b^5

3.75 = b^5

b = 1.3

Get the value of a. Recall that;

60 = ab^9.5

60 = a(1.3)^9.5

60 = 12.09a

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a = 4.96

Get the value of f(15)

f()15 = 4.96(1.3)^15

f(15) = 4.96(51.18)

f(15) = 253.88

Hence the value of f(15), to the nearest hundredth is 253.88

Learn more on exponential functions here: brainly.com/question/12940982

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