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s2008m [1.1K]
3 years ago
15

The equation k equals C + 273 relates temperatures in kelvins K and degrees Celsius C what is C in terms of K

Mathematics
1 answer:
Monica [59]3 years ago
6 0

k = C + 273

so, C = k - 273

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A sphere has a radius of 9 in. An artist creates a replica of the structure that has been scaled up by a factor of 1.5.
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Answer:

Step-by-step explanation:

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Find the projection of u = <–6, –7> onto v = <1, 1> a. <-13/2,-13/2> b. <39,91/2> c. <-13/1764,-13/17
Alexandra [31]
<h2>Answer:</h2>

a. <-13/2,-13/2>

<h2>Step-by-step explanation:</h2>

The projection of a vector u onto another vector v is given by;

proj_vu = (\frac{u.v}{|v|^2})v               ----------------(i)

Where;

u.v is the dot product of vectors u and v

|v| is the magnitude of vector v

Given:

u = <-6, -7>

v = <1, 1>

These can be re-written in unit vector notation as;

u = -6i -7j

v = i + j

<em>Now;</em>

<em>Let's find the following</em>

(i) u . v

u . v = (-6i - 7j) . (i + j)

u . v = (-6i) (1i) + (-7j)(1j)          [Remember that, i.i = j.j = 1]

u . v = -6 -7 = -13

(ii) |v|

|v| = \sqrt{(1)^2 + (1)^2}

|v| = \sqrt{2}

<em>Substitute these values into equation (i) as follows;</em>

proj_vu = [\frac{-13}{(\sqrt{2}) ^2}][i + j]

proj_vu = \frac{-13}{2} [i + j]

This can be re-written as;

proj_vu = \frac{-13}{2}i + \frac{-13}{2}j

proj_vu =

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3 years ago
When simplifying rational expressions, How is it similar to simplifying fractions?
Lera25 [3.4K]
You take out a GCF, greatest common factor.
4 0
3 years ago
La temperatura a una distancia r del centro de una lámina está dada por T=40 (r2?2r) . La variación instantánea de la temperatur
PilotLPTM [1.2K]

For this, the first thing to do is to assume that the function of temperature with respect to r is written in one of the following ways:

Way 1:

T = 40 (r ^ 2 + 2r)

Way 2:

T = 40 (r ^ 2-2r)

To find the instant variation we must find the derivative of the temperature with respect to the distance r.

We have then:

For function 1:

\frac {dT} {dr} = 40 \frac {d ((r ^ 2 + 2r))} {dr}\\

\frac {dT} {dr} = 40 (2r + 2)

Rewriting

\frac {dT} {dr} = 80r + 80

For function 2:

\frac {dT} {dr} = 40 \frac {d ((r ^ 2-2r))} {dr}

\frac {dT} {dr} = 40 (2r-2)

Rewriting

\frac {dT} {dr} = 80r-80

Answer:

The instantaneous variation of the temperature with respect to r is given by:

Assuming function 1:

\frac {dT} {dr} = 80r + 80

Assuming Function 2:

\frac {dT} {dr} = 80r-80

6 0
3 years ago
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