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3 years ago

why do whole numbers raised to an exponent get greater ,while fractions raised to an exponent get smaller

Mathematics

1 answer:

blsea [12.9K]3 years ago

7 0

Because whole numbers are bigger than fractions

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Answer:

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3 years ago

Dana spent $495 on 15 hours of obedience training for her dog Rusty. Felipe wants to

swat32

Answer:

9 hours

Step-by-step explanation:

$495 divided by 15 hours = $33 - this is how much the trainer charges per hour.

$297 divided by $33 per hour = 9 hours of training

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3 years ago

Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Mandarinka [93]

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = $\pi r l$

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

$\pi r l = 3.14*8*2 = 50.24$

area of base is give by $\pi r^2$

since there is only one base area of that base

= $\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96$

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

3 0

3 years ago

Find the derivative of sinx/1+cosx, using quotient rule

Mrrafil [7]

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

$f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}$

In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

h(x) = Sin(x)

h'(x) = Cos(x)

And for the denominator:

k(x) = 1 - Cos(x)

k'(x) = -( -Sin(x)) = Sin(x)

Replacing these in the rule, we get:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}$

Now we can simplify that:

$f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}$

And we know that:

cos^2(x) + sin^2(x) = 1

then:

$f'(x) = \frac{Cos(x)- 1}{(1 - Cos(x))^2} = - \frac{(1 - Cos(x))}{(1 - Cos(x))^2} = \frac{-1}{1 - Cos(x)}$

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3 years ago

Each month at Sea Stars, the

Tom [10]

Answer:

A good rule is to change 10 to 15 percent of the water each week. If your tank is heavily stocked, bump that up to 20 percent each week. A lightly stocked aquarium can maybe get by for two to four weeks, but this should be the maximum length of time between water changes.

Step-by-step explanation:

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3 years ago