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4 years ago

Solve for f. Give an exact answer. 9f=1/2(12f-2)

Mathematics

2 answers:

krek1111 [17]4 years ago

8 0

Answer:

Step-by-step explanation:

9f=6f−1

Move all terms containing f

to the left side of the equation.

3f=−1

Divide each term by 3

and simplify.

f=−1/3

The result can be shown in multiple forms.

Exact Form:

f=−1/3

Decimal Form:

f=−0.¯3

Alexandra [31]4 years ago

7 0

Answer:

9f=1/2(12f-2)

simplify the equation to the form, which is simple to understand

9f=1/2(12f-2)

Reorder the terms in parentheses

9f=+(+6f-1)

Remove unnecessary parentheses

+9f=+6f-1

move all terms containing f to the left and all other terms to the right.

+9f-6f=-1

simplify left and right side of the equation.

+3f=-1

divide both sides of the equation by 3 to get f.

f=-0.33333333333333

Step-by-step explanation:

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A solid object is dropped into a pond with a temperature of 20 degrees Celsius. The function f(t)=Ce(−kt)+20 represents the situ

LenaWriter [7]

Answer:

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

Step-by-step explanation:

we have

$f(t)=Ce^{(-kt)} +20$

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

<em>Find the value of the constant C</em>

we have the ordered pair (4,35)

substitute in the equation and solve for C

$35=Ce^{(-0.0399*4)} +20$

$Ce^{(-0.0399*4)}=15$

$C=15/e^{(-0.0399*4)}$

$C=17.6$

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

For t=0

$f(0)=(17.6)e^{(-k*0)} +20$

$f(0)=17.6 +20$

$f(0)=37.6\ degrees\ Celsius$

therefore

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

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A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo

avanturin [10]

Answer:

0 < x ≤ 12 and 0 < y ≤ 36

Step-by-step explanation:

Here, x represents the number of female gazelles and y represents the number of male gazelles.

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∵ The number of rooms must be more than or equal to the total female gazelles ,

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Also, number of animals can not be negative,

And, it must be greater than 0.

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Ede4ka [16]

Answer:

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