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iris [78.8K]
3 years ago
8

Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry

yeast, 2 cloves of garlic, 1 tablespoon of olive oil, and some other ingredients. Rodney is out of flour and goes to the store to buy a bag containing 20 cups of flour. How much flour will he have left over after making the pizzas?* 11 cups 14 cups 17 cups 13 cups
Mathematics
1 answer:
professor190 [17]3 years ago
4 0
14 cups. He's making three pizzas so he needs 3 pizzas' worth of flour. For one, he needs two. So he needs six cups in total. 20-6=14
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Monica [59]

Answer:24

Step-by-step explanation:

5 0
3 years ago
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e^−2
Mekhanik [1.2K]

Answer:

x=1

y=s

z=1

Step-by-step explanation:

(x, y, z)=(1, 0, 1)

Substitute 0 for y

y = e^{-2t} *sin 4t\\0 = e^{-2t} *sin 4t\\\\0 = e^{-2t} *(\frac{e^{4t}-e^{-4t}}{2j} )\\0 = e^{-2t} *(e^{4t}-e^{-4t} )\\0 = e^{-2t} *e^{4t}*(1-e^{-8t} )\\\\0 = e^{2t}*(1-e^{-8t} )\\\\\\Either   \\0 = e^{2t}\\t = -inf\\or\\0 = (1-e^{-8t} )\\(e^{-8t} ) = 1\\ -8t = ln(1) =0\\t=0\\\\

Confirming if t=0 satisfy the other equation

x = e^−2t cos 4t = e^−2(0)cos(4*0)

= e^(0)cos(0) = 1

z = e^−2t  = e^−2(0)  = 0

Therefore t=0 satisfies the other equation

Finding the tangent vector at t=0

\frac{dx}{dt}=-2te^{-2t} cos4t + e^{-2t}(-4sin4t)=-2(0)e^{-2(0)} cos4(0) + e^{-2(0)}(-4sin4(0))=0\\\\ \frac{dy}{dt} =-2te^{-2t} sin4t + e^{-2t}(4cos4t)=-2(0)e^{-2(0)} sin4(0)+ e^{-2(0)(4cos4(0)) }= 1\\\\\frac{dz}{dt}  = -2te^{-2t}  = -2(0)e^{-2(0)}  = 0

The vector equation of the tangent line is

(1, 0, 1) +s(0,1,0)= (1, s, 1)

The parametric equations are:

x=1

y=s

z=1

6 0
3 years ago
A desest tortoise spends about 95% of its life in underground burrows.About what fraction of a desert tortoise's life is spent a
8090 [49]
5/100's tortoise's life was spent above ground.
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3 years ago
Which of the equations below would have a line that passes through both (1,7) and (0,-9)
Scrat [10]

Answer:

Step-by-step explanation:

(-9-7)/(0-1)= -16/-1= 16

y - 7 = 16(x - 1)

y - 7 = 16x - 16

y = 16x - 9

7 0
3 years ago
Hi!!!! Can someone please help me answer this math question??
GalinKa [24]
The shortcut is the hypotenuse of a right triangle with legs 6 and 8, so 6²+8²=c²

36+64=c
100=c²
c=10.
so he traveled 6+8+10=24km
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3 years ago
Read 2 more answers
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