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soldi70 [24.7K]
3 years ago
5

the school band gets $5 for each T-shirt they sell at a fundraiser.They have a goal of raising $150.If $45 has been raised so fa

r,how many more T-shirts do they have to sell to each or exceed the goal?​
Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0

they need to sell 21 more shirts to get the money

Nady [450]3 years ago
3 0

150-45=105

105÷5=21

They need to sell 21 more shirts

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taurus [48]
3600 squared is 60 I believe
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We need to optimize f(x, y, z) = x + 2y subject to the constraints g(x, y, z) = x + y + z = 8 and h(x, y, z) = y2 + z2 = 4. To f
Evgesh-ka [11]

The Lagrangian is

L(x,y,z,\lambda,\mu)=x+2y+\lambda(x+y+z-8)+\mu(y^2+z^2-4)

with critical points where the partial derivatives vanish:

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L_y=2+\lambda+2\mu y=0\implies\mu=-\dfrac1{2y}

L_z=\lambda+2\mu z=0\implies\mu=\dfrac1{2z}

L_\lambda=x+y+z-8=0

L_\mu=y^2+z^2-4=0

The second and third equations tell us z=-y, so that in the last equation we find

y^2+(-y)^2=2y^2=4\implies y=\pm\sqrt2\implies z=\mp\sqrt2

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x+y+z=x=8

So we have two critical points, (8,\sqrt2,-\sqrt2) and (8,-\sqrt2,\sqrt2), which give respective extreme values of f(8,\sqrt2,-\sqrt2)=8+2\sqrt2 (maximum) and f(8,-\sqrt2,\sqrt2)=8-2\sqrt2 (minimum).

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4 years ago
According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0963 of the tax returns filed are
emmasim [6.3K]

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By using binomial distribution for r=29,30,31,32.

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296C31*(0.0963^31)(1-0.0963)^265+

296C32*(0.0963^32)(1-0.0963)^264

.

(1.2739*10^40)(3.3509*10^-30)(1.81335*10^-12)+

(1.13378*10^41)(6.475118*10^-43)+

(9.7285*10^41)(6.9*10^-44)+

(8.056449*10^42)(7.35278*10^-45)

=0.277174

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3 years ago
In a grid of a backyard, the vertices of a garden are (20, 45), (40, 45), (40, 30), and (20, 30). The coordinates are measured i
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Answer:

300 units

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You did the steps correctly, but you forgot that it does not go by 1s, but goes by 5s. Check your grid!

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Hope this helps!

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125 pounds decreased by 4% what is the new amount
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4 years ago
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