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1 year ago

Sponges are sold for 20 dollars. How many sponges per dollar.

Mathematics

1 answer:

Natasha2012 [34]1 year ago

5 0

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

6 0

2 years ago

What is 5/5 using simplest form

boyakko [2]

5/5 is 1/1 but the simplest form is just 1

4 0

2 years ago

The temperature has been going down at a constant rate.In 4 hours it went down 12 degrees.Which expression best shows the temper

fomenos

Answer:

Step-by-step explanation:

Let t be the temperature and t₀ be the initial temperature of the day

Let n be the number of hours after the initial temperature ( t₀) was registered

Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)

Now, let's write down the expression that shows the temperature change each hour, this way:

t = t₀ - 3n

After 2 hours

t = t₀ - 3 * 2 = t₀ - 6

After 5 hours

t = t₀ - 3 * 5 = t₀ - 15

After 3 hours and 30 minutes

t = t₀ - 3 * 3.5 = t₀ - 10.5

5 0

2 years ago

What is the solution to: 2x + 14= 34? Pls do your best no wrong answers

Lelu [443]

Answer: x=10

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is true about the sides KNM?

Archy [21]

Kn=nm is the answer

3 0

3 years ago