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Alex Ar [27]
2 years ago
10

CoolTown is having a big chili cook-off and Jeff, Maggi and Heath are all going to enter. Their secret recipes all use chili pow

der but in different measures. They each have a 8 ounce jar of chili powder. * Jeff uses 17% of the total powder in the jar. * Maggi uses 0.7 ounces of the total powder in the jar. * Heath uses .18 of the total powder in the jar. Who's recipe uses the most chili powder? Show your work and explain your answer in full sentences.
Mathematics
1 answer:
irinina [24]2 years ago
3 0

Answer: Maggi

Step-by-step explanation:

If you turn 17% into a decimal you get 0.17, Maggi uses 0.70 , Heath uses .18. So Maggi uses the most

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
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So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
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=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
2 years ago
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
galben [10]

Answer:

Step-by-step explanation:

first, we find the slope

slope = (y2 - y1) / (x2 - x1)

(-3,7)....x1 = -3 and y1 = 7

(9,-1)...x2 = 9 and y2 = -1

now we sub

slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3

y = mx + b

slope(m) = -2/3

use either of ur points...I will use (-3,7)...x = -3 and y = 7

now we sub and find b, the y intercept

7 = -2/3(-3) + b

7 = 2 + b

7 - 2 = b

5 = b

so ur equation is : y = -2/3x + 5 <===

7 0
2 years ago
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Therefore, 108/3 = 36 tiles will fit along the length.

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Musya8 [376]

Answer:

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Step-by-step explanation:

8 0
3 years ago
What fraction represents the decimal 0.12
Lelechka [254]

3/25 is your answer

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6/50-->

=3/25

Step-by-step explanation:


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3 years ago
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