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Illusion [34]
2 years ago
15

Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?

Mathematics
2 answers:
AnnyKZ [126]2 years ago
6 0

Answer:

A

Step-by-step explanation:

dont know how explain.

devlian [24]2 years ago
3 0

Answer:

19( 42+ 58)

Step-by-step explanation:

19 \cdot 42+19 \cdot 58\\

The common factor is 19

19( 42+ 58)

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Set up a double integral for calculating the flux of the vector field F⃗ (x,y,z)=xi⃗ +yj⃗ through the open-ended circular cylind
katrin [286]

Parameterize the cylinder (call it S) by

\vec s(\theta,z)=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath+z\,\vec k

with 0\le\theta\le2\pi and 0\le z\le9. Then

\vec F(x(\theta,z),y(\theta,z),z(\theta,z))=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath

Take the normal vector to S to be

\vec s_\theta\times\vec s_z=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(\theta,z),y(\theta,z),z(\theta,z))\cdot(\vec s_\theta\times\vec s_z)\,\mathrm dz\,\mathrm d\theta

=\displaystyle\int_0^{2\pi}\int_0^98(\cos^2\theta+\sin^2\theta)\,\mathrm dz\,\mathrm d\theta=\boxed{144\pi}

7 0
2 years ago
Lola says these two expressions have the same value.
Delvig [45]

Answer:

It should be A.

Step-by-step explanation:

When you're using exponents, anything that has an exponent of 0 will be 1.

You can use a calculator to confirm on your own.

8 0
2 years ago
Read 2 more answers
Mickey built his lemonade stand out of $75,000 worth of plywood and paint. he sells a glass of lemonade for $30 and uses $1.25 o
Leviafan [203]
Break even point is where all the expense is already covered by the revenue. In this case, the expense would be the stand ($75,000) and the lemon+sugar+water ( $1.25 per glass). The revenue comes from lemonade($30/glass). Then the equation would be:

$30 * glass of lemonade= $75,000 + $1.25 * glass of lemonade
($30-$1.25) * glass of lemonade= $75,000
glass of lemonade= 2608.7 
4 0
2 years ago
While at a carnival, Andrew comes across a game that involves rolling a die. According to the game's rules, if the number rolled
Reptile [31]

Answer:

he can expect to lose 0.5$

Step-by-step explanation:

To solve this problem we must calculate the expected value of the game.

If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

E =\sum xP (x)

When throwing a dice the possible values are:

x: 1→ -$9;  2→ $4;  3→ -$9;  4→ $8;  5→ -$9;  6→ $12

The probability of obtaining any of these numbers is:

p=\frac{1}{6}

The gain when obtaining an even number is twice the number.

The loss to get an odd number is $ 9

So the expected gain is:

E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5

4 0
2 years ago
A museum has a 1/1000 scale model of the Grand Canyon, complete with a miniature river in the bottom. Explain how you could use
defon
Provide the approximated measurement to associate the volume of water.
3 0
2 years ago
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