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Natasha_Volkova [10]
3 years ago
10

Avery had $25.05 in her wallet. If she bought lunch with 7 3/4 dollars from her wallet, how much money did she have in her walle

t after lunch?
Mathematics
2 answers:
taurus [48]3 years ago
8 0

Answer: 17.3

Step-by-step explanation: 25.05-7.75=17.3

Free_Kalibri [48]3 years ago
4 0

Answer:

The answer is 17.3

Step-by-step explanation:

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Katy has 32 markers, she bought 29 of the markers herself. What is the ratio of markers Katy bought to all of her markers
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29:32

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Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter
babunello [35]

Answer:

The curve is given by r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

Step-by-step explanation:

The aec length of the curve is given by:

L=\int\limits^t_0 {|r'(t)|} \, dt

r(t) = 3t i + (7 − 4t) j + (3 + 2t) k

r'(t)= 3 i -4 j + 2 k

|r'(t)|= \sqrt{3^2+(-4)^2+2^2} =\sqrt{9+16+4} =\sqrt{29}

L=\int\limits^t_0 {\sqrt{29}} \, dt=\sqrt{29}\int\limits^t_0 \, dt

L=\sqrt{29}t|^t_0=\sqrt{29}t-\sqrt{29}0=\sqrt{29}t

s(t)=\sqrt{29}t

We have to obtain t in terms of s, hence:

t=\frac{s}{\sqrt{29}}

Finally,

r(s)=3\frac{s}{\sqrt{29}}  i + (7 - 4\frac{s}{\sqrt{29}} ) j + (3 + 2\frac{s}{\sqrt{29}} ) k

8 0
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