In an exponential function, f(x)=b^x, b is not allowed to be 1 explain why this restriction exists?

Mathematics

1 answer:

suter [353]3 years ago

4 0

That is because b to any power = 1,

1^1 = 1, 1^0 = 1 1^0.25 = 1 etc

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A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

quester [9]

Answer:

-88 mph

Step-by-step explanation:

We can use the relation ...

time = distance/speed

to compare the times in the two directions.

$\dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}$

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

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3 years ago

Find the perimeter of a towel thay measures 2 feet by 3/4 foot

levacccp [35]

A typical towel is the shape of a rectangle.
Rectangles have 2 opposite pairs of congruent (equal) sides.
To find perimeter, find the sums of all the sides.

The measures of the towel's sides are:
2 feet
2 feet
3/4 foot
3/4 foot

Add these together to find the perimeter.

2 + 2 + 0.75 + 0.75 = 5.5

The perimeter of the towel is 5.5 feet.

Hope this helps!
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7 0

3 years ago

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$