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2 years ago

Sarah has the following sets of numbers.

Mathematics

2 answers:

ololo11 [35]2 years ago

7 0

Answer: 13.5

Step-by-step explanation:

Viefleur [7K]2 years ago

5 0

Answer:

The interquartile range is

13.5

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Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?

Natalka [10]

Answer:

Starts at 6:15

Note: An hour is 60 minutes.

So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.

So the film ended at 8:25.

8 0

3 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

An equation that sets two fractions equal to each other is called a ____.

Shkiper50 [21]

An equation that sets two fractions equal to each other is called a proportion. A proportion is a name we give to a statement that two ratios are equal. When two ratios are equal, then the cross products of the ratios are equal. Hope this helps.

3 0

3 years ago

Read 2 more answers

I rlly need help pls help me

kifflom [539]

Answer:

This one ↓↓↓↓↓↓

Step-by-step explanation:

The picture attached is the reflection over the line y = 0

-Chetan K