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2 years ago

Write the ratio as a unit rate. 286 miles in 5 1/2 hours

Mathematics

2 answers:

stira [4]2 years ago

8 0

Just do 286 divided by 5.5. You will get 52.. B

Novay_Z [31]2 years ago

8 0

Answer:

Step-by-step explanation:

286/1 divided by 11/2

286 x 2 and 1 x 11 =

572/11

simplify it and it equals 52

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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

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

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2 years ago

A soup kettle has a capacity of 4.5 l. what is the kettle’s capacity in milliliters?(1 l = 1,000 ml)

wariber [46]

The answer is 450ml so hope this helps all of you who had this problem

8 0

2 years ago

Daniel had 7 3/5 qt of strawberries.He used 1/2of that amount to make jam . How many quarts did he have left?

Georgia [21]

Answer:

3 4/5

Step-by-step explanation:

7 3/5=38/5

38/5 divided by 2 = 19/5

19/5=3 4/5

6 0

2 years ago

What is the center of the circle? Please show steps!

Vika [28.1K]

Answer:

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the equation:

$x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2$

h = 0, k = 4, r = 5

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3 years ago

{-5x+3y less than or equal to 45<br>{2x +3y>24

Softa [21]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers