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4 years ago

IR + Ir = E solve for I

Mathematics

2 answers:

NNADVOKAT [17]4 years ago

7 0

$\displaystyle \\ 
IR + Ir = E \\ 
I(R + r) = E \\ \\ 
\boxed{I = \frac{E}{R+r}}$

KatRina [158]4 years ago

5 0

IR+Ir=E
I(R+r)=E
I=E/(R+r)

Answer: I=E/(R+r)

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Brooke is located 5 miles out at sea from a straight shoreline in her kayak. She wants to make it to the taco truck on the beach

jenyasd209 [6]

Answer:

x = 1,2909 ml (point where Brooke beaches her kayack)

Step-by-step explanation:

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The route to follow by Brooke is x₁ + x₂ and as we need to express total time.

s (distance) = velocity* time then time t = distance / velocity

x₁ = √ (5)² + x² ⇒ x₁ = √( 25 + x² )

and x₂ = ( 6 - x )

x₁ = distance in kayack ( speed 2 ml/h)

x₂ = distance walking ( speed 4 ml/h)

Then total time as a function of x is

t(x) = √( 25 + x² ) / 2 + ( 6 - x ) / 4

Taking derivatives on both sides of the equation we get

t´(x) = 2x* (2) / 4 *√( 25 + x² ) - 1/4

t´(x) = 0 2x* (2) / 4 *√( 25 + x² ) - 1/4 = 0 x/√( 25 + x² ) - 1/4 = 0

x/√( 25 + x² ) = 1/4

x = √( 25 + x² ) /4

x² = (25 + x² ) /16

16*x² = 25 + x²

15x² = 25 x = 1,2909 ml (point where Brooke beaches her kayack)

Then walking distance is x₂ = 6 - 1.2909 x₂ = 4.71 ml

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4 years ago

Tyler and Ben plan on taking a road trip to Yellowstone National Park. Tyler's car currently has 45,000 miles on it. They plan o

Nastasia [14]

X = number of hours traveled
Y = Total miles on the car

Y = 60x +45 000

for 13 hours

Y = 60(13) + 45 000
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3 years ago

Find the perimeter of a rectangle <br> L= 2x^2+3x+1<br> W= x+3

ahrayia [7]

Answer:

The perimeter of the rectangle is $P(x) = (4x^{2} + 8x + 8)$

Step-by-step explanation:

Length of the rectangle = $2x^{2} +3x + 1$

Width of the rectangle = x + 3

The Perimeter of the Rectangle = 2 (Length + Width)

So, here the perimeter = $2((2x^{2} + 3x +1 )+(x+3)) = 2 (2x^{2} + 3x + 1 + x +3)\\= 2(2x^{2} + 4x+4) = 4x^{2} + 8x + 8$

Hence,the perimeter of the rectangle is $P(x) = (4x^{2} + 8x + 8)$

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4 years ago

BEST ANSWER GETS BRAINLIEST

Alexandra [31]

Answer:

1. The speed of the truck, S = D/T.

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3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

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a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance. This implies that speed is a function of distance and time. However, this formula represents the mean speed. There are variations in speed.

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3 years ago

Work out the area of Triangle ABC

Tema [17]

The main idea is using the Pythagorean formula to find the length of line segment $DB$ .