All categories

3 years ago

The wind-chill index is modeled by the function below where T is the temperature (°C) and v is the wind speed (km/h).

1 answer:

6 0

When T= 13°C and v = 34 km/h
W = 13.12 + 0.6215(13) - 11.37(34)^0.16 + 0.3965(13)(34)^0.16 = 13.12 + 8.0795 - 11.37(1.7581) + 5.1545(1.7581) = 21.1995 - 19.9893 + 9.0620 = 10.27°C.

If T decrease by 1°C (T = 12°C), then
W = 13.12 + 0.6215(12) - 11.37(34)^0.16 + 0.3965(12)(34)^0.16 = 8.95°C
Therefore, W decreased by 10.27°C - 8.95°C = 1.3°C

If v increases by 1 km/h (v = 35 km/h), then
W = 13.12 + 0.6215(13) - 11.37(35)^0.16 + 0.3965(13)(35)^0.16 = 10.22°C
Therefore, W decreaseb by 10.27°C - 10.22°C = 0.05°C

You might be interested in

The red line below is perpendicular to which of the following

yawa3891 [41]

Answer:

The y axis

Step-by-step explanation:

Perpendicular means for a line to create a 90 degree angle, like it does on the y axis.

Hope this helps!

8 0

3 years ago

Twice the difference of a number and 1 is 4 more than that number. find a number using polyas 4 steps

professor190 [17]

Answer:

x=3

Step-by-step explanation:

2(x-1)=4

2x-2=4

2x=4+2

2x=6

x=6/2=3

8 0

3 years ago

Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5

MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be $a$ . So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be $\frac{a}{4} +12\\$ . It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be $\frac{a}{3} -5\\$ . Since they are the same, we have the equation below.

$\frac{a}{4} +12 = \frac{a}{3} -5\\$

All we have to do now is to find $a$ .

$\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204$

<h3>Answer:</h3>

Our number must be $204$ . I think

5 0

3 years ago

Make r the subject of the formula <br><img src="https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%28r%20-%

Vaselesa [24]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

8 0

3 years ago

Use synthetic division and the given factor to completely factor the polynomial.

Advocard [28]

Hello there!

The factorization form is:

(x + 2)(x + 3)(x - 6)

I hope this helps!

4 0

3 years ago

Read 2 more answers