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lakkis [162]
3 years ago
14

Sophia wants to enlarge a 5-inch by 7-inch rectangular photo by multiplying the dimensions by 3. Find the area of the enlarged p

hoto.
5 points
35 sq. in
315 sq. in
105 sq. in
210 sq. in
Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

315 sq. in

Step-by-step explanation:

15 * 21 = 315

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In quadratic drag problem, the deceleration is proportional to the square of velocity
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Part A

Given that a= \frac{dv}{dt} =-kv^2

Then, 

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For v(0)=v_0, then

v(0)=-kv^2(0)+c=v_0 \\  \\ \Rightarrow c=v_0

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Part B

Recall that from part A, 

v(t)= \frac{dx}{dt} =-kv^2t+v_0 \\  \\ \Rightarrow dx=-kv^2tdt+v_0dt \\  \\ \Rightarrow\int dx=-kv^2\int tdt+v_0\int dt+a \\  \\ \Rightarrow x=- \frac{1}{2} kv^2t^2+v_0t+a

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x=a

and when the velocity drops to half its value, v= \frac{1}{2} v_0 and t= \frac{2}{kv_0}

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Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by

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7 0
3 years ago
350 students at the middle school ride the bus home and 50 of them walk home. What percent of students walk home?
andrey2020 [161]

Answer:

14.29%

Step-by-step explanation:

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round it and get 14.29

add a percentage sign and tadaa!

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Answer:

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Step-by-step explanation:

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