(Science) (15 pts)

1. My amplifier uses a filament that requires a maximum of 5 volts at a current of 15 amperes.
Calculate the resistance of the tube. (Round to no more than two numbers to the right of the decimal)

2. How many ohms of resistance are present in a light bulb that draws 2 amperes at 120 volts?

3. A 250 watt radio will draw how many amps when operating on 240 volts? (Round to no more than two numbers to the right of the decimal)


Answer 1
Answer: The problems of physics that are given here can be solved using Ohms laws. As per the Ohms law, we can write
Resistance = Current/Voltage.
Now coming to the questions that are given.
1. In this question,
Current = 15 amperes
Voltage = 5 volts
Resistance = 5/15
                   = 1/3
                   = 0.33 ohms
So the resistance of the tube will be 0.33 ohms
2. Given information's are noted below
Current = 2 amperes
Voltage = 120 volts
Resistance = 120/2
                   = 60 ohms
 So 60 ohms of resistance is present in the bulb.
3. Given information's
Current = 250 watt
Voltage = 240 volts
Resistance = 250/240
                   = 25/24
                   = 1.04 ohms.
The radio will draw 1.04 ohms.

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Please explain #2 for me please!The question deals with proportions.

Cube root of y equals 4​



y = 64

Step-by-step explanation:

\bold{METHOD\ 1:}\n\n\sqrt[3]{y}=4\qquad\text{cube of both sides}\n\n(\sqrt[3]{y})^3=4^3\n\ny=64\n\n\bold{METHOD\ 2:}\n\n\text{Use the de}\text{finition of cube root}:\n\n\sqrt[3]{a}=b\iff b^3=a\n\n\sqrt[3]{y}=4\iff 4^3=y\to y=64

What does it mean for an equation to express y in terms of x


This is also known as constant of variation. 

So, lets give an example

y = 4 and x = 2

If y = 8, what does x equal?

4*2 = 8
y = 8

x = 2
2*2 = 4

x = 4

We solve for the missing value based on the other value. 

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)

A. (–4, –1)

B. (–4, 0)

C. (–4, 1)

D. (–4, 2)


Start with two vertex points from one side of the rectangle:
(4, 0) and (2, -3).
Subtract the X coordinates:  4 - 2 = 2
Subtract the Y coordinates:  0 - -3 = 3
Now, start with the third vertex point that is given:
The differences for the X & Y coordinates between the third vertex point and the fourth vertex point will be the same as the differences between the 1st and 2nd points, so start with the 3rd point X coordinate and subtract 2 from it to get the X coordinate for the fourth point:
-2 - 2 = -4.
Then, take the 3rd point Y coordinate and subtract 4 to get the Y coordinate for the fourth point:
4 - 3 = 1
So, your fourth vertex point is (-4, 1).
See the attached picture.
This works because each of the two sets of sides of a rectangle are parallel to each other.  

I NEED HELP QUICKKKKKTina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$15) − 12

(−$15) + 12

(−$15) ÷ 12

(−$15) ⋅ 12



the last one


hope this helps!

Explain how to estmate 586- 321 two different ways


Estimating Sums and Differences: Explain how to estimate 368 + 231 two different ways. Explain how to estimate 586 – 321 two different ways. Why is it important to estimate before solving a problem? Which gives an estimate that is closer to the exact sum: rounding to the nearest ten or rounding to the nearest hundred

Why is the gfc of any two numbers is always even


There's no "why" because it isn't.

The greatest common factor of two numbers
is only even when the two numbers are even.

==>  The greatest common factor of '14'  and  '21'  is  ' 7 ' .