What is the volume if something measures 6.2 cm x 13.7 cm x 26.9 cm?

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

2 years ago

The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st

Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

$v=\frac{d}{t}$ .

Applying this to our problem we have that

$v=\frac{200m}{6.509s}= 30.726m/s$ .

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that $v=\frac{d}{t}$ . This formula implies that

$t=\frac{d}{v}$ .

First, observer that $19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s$ .

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, $v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.$

Then, applying 1) we have that

$t=\frac{200m}{36.003m/s}=5.5549s.$

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0

3 years ago

ꞮɴᴇQᴜᴀʟɪᴛʏ Qᴜᴇꜱᴛɪᴏɴ, ᴘʟᴇᴀꜱᴇ ʜᴇʟᴘ ᴍᴇ ᴏᴜᴛ

zaharov [31]

B I have done this before

6 0

2 years ago

Read 2 more answers

@jdoe<br><br> As promised. The link will be whatever.

Lady_Fox [76]

Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down

if a is positive, then it goes down then up
if a is negative, it goes up then down

we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)

so decreases from -infinity to -3 or ininterval
(-infinity,-3)

answer is first option

6 0

2 years ago

Find all polar coordinates of point p where p = (6, -pi/5)

Lelu [443]

Given a point in coordinates form $(r,\theta)$ , one can compute the cartesian form like this:
$(r\cos\theta,r\sin\theta )$
We have:
$r=6,\theta=-\dfrac{\pi}{5}$
We get the cartesian form then:
$\left(6\cos-\dfrac{\pi}{5},6\sin-\dfrac{\pi}{5}\right)$

4 0

3 years ago