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olchik [2.2K]
3 years ago
12

What is another way to write the function f(x) = 5^x. The choices are

Mathematics
2 answers:
Kay [80]3 years ago
7 0

Answer:

Correct answer is f(x) = (625^x)^1/4

Step-by-step explanation:

We know that

625 = 5^4

This means

f(x) = (625^x)^1/4

f(x) = (5^(4x))^1/4

But we know this is equivalent to

f(x) = (5^(4x*(1/4))) =

= 5^(x)

Correct answer is f(x) = (625^x)^1/4

daser333 [38]3 years ago
4 0

Answer:

(625^x)^1/4.

Step-by-step explanation:

625 = 5*5*5*5

so 625^1/4 = 5.

So it is (625^x)^1/4.

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The answer should be 3.3/4

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Find the unit price of a 3-pack of bottled juice for$6.75. how much does 1 bottle cost.​
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Steve picks 55 pounds of pears. He packs an equal amount of pears into 6 bags. He then has 4 pounds of pears left. What is the w
Serggg [28]
Because he has 4 pounds of apples left, you are to subtract that from the total pounds picked, which was a total of 55 pounds. So 55 with 4 taken away, or 55 - 4, equals 51. Since he had equally put 51 pounds into six bags, you are to then divide . 51 / 6 = 8.5. He had put 8.5 pounds worth of apples into each bag.
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2 years ago
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Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z
vovikov84 [41]

Plug y=x^2 into the equation of the ellipsoid:

x^2+7(x^2)^2+7z^2=49

Complete the square:

7x^4+x^2=7\left(x^4+\dfrac{x^2}7+\dfrac1{14^2}-\dfrac1{14^2}\right)=7\left(x^2+\dfrac1{14}\right)^2+\dfrac1{28}

Then the intersection is such that

7\left(x^2+\dfrac1{14}\right)^2+7z^2=\dfrac{1371}{28}

\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

x(t)^2+\dfrac1{14}=\sqrt{\dfrac{1371}{196}}\cos t\implies x(t)=\pm\sqrt{\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}}

y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}

z=\sqrt{\dfrac{1371}{196}}\sin t

(Attached is a plot of the two surfaces and the intersection; red for the positive root x(t), blue for the negative)

4 0
3 years ago
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