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2 years ago

A rectangle has a perimeter of 30 and a length of 10. Find the width.

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

Answer:

Step-by-step explanation:

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What is the probability of pulling two softballs that are the same color, when you replace the first ball

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56%

Step-by-step explanation:

when you divide the number of doubles by the number of possible outcomes you get 56%

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2 years ago

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A data value is considered _______ if its z-score is less than minus2 or greater than 2.

elena-14-01-66 [18.8K]

Answer:

Unusual

Step-by-step explanation:

we know that

The z-score is a measure of how close the given data point is to the mean of the values given with the standard deviation

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3 years ago

Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).

aniked [119]

Parameterize the surface by

$\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)$
$\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)$

where $(s,t)\in(0,1)\times(0,1)$ . We have

$\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s$

The surface integral is then

$\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds$
$=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)$
$=\dfrac{\sqrt{181}}3$

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3 years ago

which function has an inverse that is a function? a. b(x) = x2 3 b. d(x) = –9 c. m(x) = –7x d. p(x) = |x|

andrew11 [14]

<span>m(x) = –7x has an inverse which is a function.</span>

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3 years ago