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Dmitry_Shevchenko [17]
4 years ago
8

Ashley will tend a car for the weekend.she can choose one of two plans.the first plan has an initial fee of $49.96 and cost an a

dditional $0.14 per mile driven. The second plan has an initial fee of $55.96 and cost an additional $0.12 per mile driven.how many miles would Ashely need to drive for the two plans to cost the same?
Mathematics
1 answer:
Rom4ik [11]4 years ago
5 0
First, you multiply $55.96 by $0.12 and you get $6.7152. Then, multiply $49.96 by $0.14 and you get $6.9944. If you subtract $69944-$6.7152 you get your answer which is $0.2792.
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Find line tangent to y=xcosx at point (pi, -pi)
slamgirl [31]
1) slope of the line = derivative of the of the function at the given point.

y' = cosx - x cosx

Evaluate for x = pi => y' = cos(pi) - pi*cos(pi) = -1 - (pi*cos(pi)) = -1 + pi

Then slope = -1 + pi

Given point: (pi, -pi)

Equation:

y - (-pi) = [-1+ pi] (x - pi)

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y = (pi-1)x - pi^2      .... this is the answer
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3 years ago
Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by
Ierofanga [76]

Answer:

For t = 0.33 s, H = 14.0976 feet;

For t = 3 s, H = 0 feet;

For t = 16 s, H = -3328 feet;

For t = 48 s, H = -34560 feet.

Step-by-step explanation:

Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:

For t = 0.33 s:

H(t) = -16*t^2 + 48*t\\H(0.33) = -16*(0.33)^2 + 48*0.33\\H(0.33) = -1.7424 + 15.84\\H(0.33) = 14.0976 \text{ feet}

For t = 3 s:

H(t) = -16*t^2 + 48*t\\H(3) = -16*(3)^2 + 48*3\\H(3) = -144 + 144\\H(3) = 0 \text{ feet}

For t = 16 s:

H(t) = -16*t^2 + 48*t\\H(16) = -16*(16)^2 + 48*16\\H(16) = -4096 + 768\\H(16) = -3328 \text{ feet}

For t = 48 s:

H(t) = -16*t^2 + 48*t\\H(48) = -16*(48)^2 + 48*48\\H(48) = -36864 + 2304\\H(16) = -34560 \text{ feet}

7 0
3 years ago
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Answer:

2x - 18 = 5

Step-by-step explanation:

An equation for eighteen less than twice a number is 2x - 18 = 5

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Answer:

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Step-by-step explanation:

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