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3 years ago

11

The outer tire radius of Jasmine's bike wheel is approximately 14 inches. How far will her wheel travel in three revolutions? Gi

ve your answer to the nearest inch.

1 answer:

Brrunno [24]3 years ago

6 0

I have found that 34inches

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Determine the length and conductivity of a wire with diameter 4.2 mm constructed from an alloy of resistivity 3.2 x 10^-8 ohms-m

xz_007 [3.2K]

Answer:

1) L = 3.465 × 10^2; 31250000 S/m

2) terminal pd = 11V

3) ₦2

Step-by-step explanation:

1)

diameter of wire (d) = 4.2mm = 4.2 × 10^-3m

resistivity 3.2 x 10^-8 ohms-meter

Resistance(R) = 0.8 ohms

Area of wire (A)= πd^2 / 4

A =[ ( 22/7) * (4.2×10^-3)^2] / 4

A = [22/7 * 17.64×10^-6] / 4

A = 13.86×10^-6m^2

Recall:

Resistivity = (R ×A) / Length

Length = (R × A) / resistivity

Length(L) = [(0.8)(13.86×10^-6)] / 3.2 x 10^-8

L = (11.088 × 10^-6) / 3.2 x 10^-8

L = 3.465 × 10^2

Conductivity = 1/resistivity

Conductivity = 1/3.2 x 10^-8

Conductivity = 31250000 S/m

2)

Series resistor = 1.5 and 4.0 ohms

e.m.f (E) = 12V, internal resistance 'r' = 0.5

Recall :

I = E / (R + r)

Where I = current

R = circuit resistance

R = Rs = 1.5 + 4.0 (series connection) = 5.5

Recall : I = V/R

Where V = voltage ( terminal pd)

Therefore,

V/R = E/(R+r)

V/5.5 = 12/(5.5 + 0.5)

V/5.5 = 12/6

V/5.5 = 2

V = 5.5 × 2

V = 11V

3) power = 100W, t =10 hours

Energy consumed = power × time

Energy consumed = 100W × 10 hrs = 1000Whr

Recall: 1 KW = 1000 W

Therefore, energy consumed = 1KW

Cost of energy per KW = ₦2

Therefore, cost of lightning the lamp = ₦2 × 1KW = $2

4 0

4 years ago

after completing a fraction division problem, Clarice used multiplications to check her answer division could Clarice verify her

anzhelika [568]

Answer:hope this helps

Step-by-step explanation:

First you multiply the number of what you r multiply by if that makes sense then get the quotient of ur answer and multiply that if you a reminder if it is not a decimal add that to your mutilation

U multiply first then add ur answer of the remainder

.

5 0

3 years ago

A set of six single-digit integers has a unique mode of 2. What is the largest possible

Sliva [168]

Answer:

6.5

Step-by-step explanation:

We can assume that 2 is the smallest integer in the set. That means we would have a minimum of 2 2s. Then the largest integer in the set is 9. Since we can't have more than one 9 (due to the mode of 2), the next largest number we can have is 8. After that would be 7. Then the last digit would be 6. So now the set contains { 2, 2, 6, 7, 8, 9}. To find the median in an even set, we need to take the middle numbers and find the average. In this case, the two numbers are 6 and 7. The average of 6 and 7 is 6.5.

6 0

4 years ago

Read 2 more answers

Plz help on bottom one no guessing

Anna35 [415]

That's the distance formula, which is the Pythagorean Theorem applied to the points.

The distance between (a,b) and (c,d) is $\sqrt{(a-c)^2+(b-d)^2}$

a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.

Here that just means our distance is

$d = \sqrt{(1 - -3)^2 + (2 - 3)^2} = \sqrt{4^2+1^2}=\sqrt{17} \approx 4.12$

Answer: B 4.1 units

6 0

4 years ago

Read 2 more answers

Please help 15 points and brilliant

Sholpan [36]

It would be the 3rd answer or f(x)= 0.5x2, f(x)=2x2, f(x)=-10x2.

4 0

4 years ago