The resistance of a wire, R ohms , is directly
proportional to its length , I meter , and inversely
proportional to the square of its radius , r meter.
(a) Express R in terms of l , r and a constant k.
(b) Maker the subject of the formula in (a).
(c) (i) Given that a wire with a length of 2 m and a radius of 0.5 cm has a resistance of 40 ohms , use your answer in (a) to find the value of k.
(ii) Hence , use your answer in (b) to find the radius of a wire with a length of 4 meters and a resistance of 60 ohms

Answer:

This is true

Step-by-step explanation:

28 = 28 is what you will get if you put N into the equation.

Answer:

Your answer is: 28 = 28

The left side  28  is equal to the right side  28 , which means that the given statement is always true.

You have to plug in both n's with a 6, so your equation would be ↓ 4(2(6)-5)=3(6)+10

Step-by-step explanation:

Hope this helped : )

Answer:

O weight in kilograms = 25 x 3.5 ÷ 2.2

Step-by-step explanation:

As a butcher, you sell beef in 3.5-pound packages. You anticipate needing 25 packages for the next two days.

Therefore, the total number of pounds for the 25 packages =

3.5 pound packages × 25

= 87.5 pounds

We are told that : The wholesaler from whom you purchase large pieces of meat measures the weight of the beef in kilograms.

Note that:

2.2 pounds = 1 kg

Hence:

87.5 pounds =

= 87.5÷ 2.2

= 39.772727273 kg

He needs to buy 39.772727273kg from the wholesaler

The equation can you use to determine the weight of the beef, in kilograms, that you need to purchase from the wholesaler is:

O weight in kilograms = (25 x 3.5) ÷ 2.2

Answer:

Fraction: 13/20

Decimal: 0.65

Step-by-step explanation:

Fraction: 65/100

You can divide both numbers by 5

13/20

Decimal: move the decimal point 2 left

65.0 --> 6.5 --> 0.65

hopefully this is right if not i am sorry

Answer:

Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Step-by-step explanation:

The quadratic equation to solve is:

[tex]x^2+10=0[/tex]

Since this equation is incomplete, we can solve it without using the quadratic solver formula.

Subtracting 10:

[tex]x^2=-10[/tex]

Taking square root:

[tex]x=\pm\sqrt{-10}[/tex]

Recall the square root of a negative number leads to imaginary solutions where the Unit Imaginary Number (i) is used, where:

[tex]\mathbf{i}=\sqrt{-1}[/tex]

The solutions to the equation are:

[tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Correct choice: C. [tex]x=\pm\sqrt{10}\mathbf{i}[/tex]

Answer:

Look at the step by step explanation

Step-by-step explanation:

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

Answer:

[tex]x = \frac{5}{8}[/tex]

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

12500000000000

Step-by-step explanation:

Answer:

5

4

x100100000

Step-by-step explanation:

5x108

4

x105

Simplifies to:

5

4

x100100000

=

5

4

x100100000

Answer:

25

Step-by-step explanation:

23+24+25=72

hope i helped!! :)

( if it is right, pls mark brainliest!!)

Answer:

25

Step-by-step explanation:

let x represent the first consecutive number.

let x+1 represent the second consecutive number.

let x+2 represent the third consecutive number.

x + x+1 + x+2 = 72

3x + 3 = 72

3x = 72 - 3

3x = 69

3x/3 = 69/3

x= 23

first number= x = 23

second number = x+1

= 23+1

=24

third number= x+2

=23+2

=25

the largest of these numbers is 25

Answer:

a is 44 b is 37

Step-by-step explanation:

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

Answer:

75 ounces

Step-by-step explanation:

39/13=3  so each candy bar weighs 3 ounces each so 25*3=75

Answer:

75 ounces

Step-by-step explanation:

39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

Answer:

I will try to help, let me know

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.

I hope this helps!

Answer:

4

Step-by-step explanation:

Answer:

its microwave

Step-by-step explanation:

Answer:

ok so I cant make promises but I think the answer is -11/12

Step-by-step explanation:

I hope its right and I'm sorry if its not  

Answer:

Step-by-step explanation:

The expression for compound interest is given as

A=P(1+r)^t

given data

P=$4,000

r=2.5%= 0.025

t=7years

The final amount can be solved as

A=4000(1+0.025)^7

A=4000(1.025)^7

A=4000*1.1886

A=4754.4

The amount on the account is $4754.4

Answer:

its the last choice

Step-by-step explanation:

Answer:

it is the second from the top

Answer:

h(2) = 8

Step-by-step explanation:

We are told that the function h(x)= -x² + 6x Models the path of water in a fountain in meters

Since the function is h(x)= -x² + 6x.

It means h(2) will be;

h(2) = -(2²) + 6(2)

h(2) = -4 + 12

h(2) = 8

Answer:54 = t + 9

Step-by-step explanation:

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

Answer:

a) vertical angles

b) same side interior angles

c)alternate interior angles

Step-by-step explanation:

vertical angles are angles that are across from each other and they are congruent

interior angles are angles that are in between the parallel lines and when they are on the same side it means that they are on the same side of the transversal

interior angles are angles that are in between the parallel lines and when they are on different sides it means that they are on opposite sides of a transversal, this is called alternate interior angles

Answer:

3^2

Step-by-step explanation:

3^-4*3^6

3^-4+6

3^2

Answer:

-63

Step-by-step explanation:

Answer:

48 inches

Step-by-step explanation:

12 in=1

24 in = 2

36 in = 3

48 in = 4

Add 12 everytime

Answer:

-15

Step-by-step explanation:

positive x positive = positive

positive x negative = negative

negative x negative = positive

(same goes with division)

Answer:

she will need 5 more 3 cups of apple juice

Step-by-step explanation:

15÷3=5

3×3×3×3×3=15