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antiseptic1488
2 months ago
6

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break duri

ng her ride.
d(t)=12t+20
So, d(4) = [32,96,88,68]. This means that after [cycling 4 miles, 4 hours, a 4 hour break, cycling at a speed at 4 mph], Joanna [took a 96 minute break, cycled for 68 miles total, rode for 32 hours total, cycled 88 miles total]
Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
6 0
In this scenario, we have the equation:
 d (t) = 12t + 20

The variables involved are:
 t: time in hours
 d(t): distance covered in miles.
 We will compute the distance after 4 hours.
 This leads us to t = 4:
 d (4) = 12 (4) +20

d (4) = 48 + 20

d (4) = 68
 Solution:
 
d(4) = 68
 
This indicates that after 4 hours, Joanna cycled a total distance of 68 miles.
Leona [12.6K]2 months ago
3 0

Solution:

68

a break of 4 hours

cycled a total of 68 miles

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Answer:

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Step-by-step explanation:

Simply multiply 12.2 by 1.45. This calculation yields a total distance of 17.69.

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3 months ago
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Conclusion:

Please refer to the explanation provided.

Detailed explanation:

Starting with these facts:

Total revenue = $250

Fee charged = $70 per car

Tips received = $50

Equation 1 representing the above:

(Fee per car × number of cars) + tips = total revenue

Let the number of cars be c.

Thus, we have:

$70c + $50 = $250

Part B:

Total revenue = $250

Fee charged = $75 per car

Tips received = $35

Supplies cost per car washed = $5

Equation 2:

(Fee per car × number of cars) + tips - (supplies cost × number of cars) = total revenue

$75c + $35 - $5c = $250

$70c + $35 = $250

Part C:

Equation 1 does not factor in costs associated with washing the car, while equation 2 does incorporate costs, which are deducted from the amount charged per car. Additionally, tips in equation 1 total $50 compared to a $35 fee in equation 2.

3 0
3 months ago
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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
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Respuesta:

Por lo tanto, la integral de superficie es \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Explicación paso a paso:

La función dada es,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

Para encontrar,

\int\int_{S}\vec{F}dS 

donde S=A=superficie del cilindro elíptico debemos aplicar el teorema de divergencia, así que,

\int\int_{S}\vec{F}dS

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=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV 

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • Si el vector unitario \cap{n} está dirigido en dirección positiva (hacia afuera), entonces z=c y,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1}. dA 

=\int\int_{S_1}.dA=0

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\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

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To solve this problem, I would add 7 to obtain...

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This method appeared to be the most straightforward to me. Although one could apply the quadratic formula, that entails more steps.

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