SOLViNg Equations
You are an electrician for the city where you live. You get a
call about a parking lot at baseball field where the lamp posts
keep shutting off, due to the circuit breaker. A circuit
breaker is a switch that automatically stops the flow of
electricity due to a current being too strong or some other
dangerous situation. You've been called in to figure out why
the circuit is breaking
8
One of the most common formulas dealing with electricity is
called Watt's Law. This algebraic equation states that "pi
(power measured in watts) is equal to "V" (the voltage
measured in volts ) times "T" (the current measured in amps).
P= VI
Here is what you know about the baseball field parking lot situation.
There are 9 lamp posts connected to this circuit.
Each lamp post has a 400 watt lamp installed.
The circuit is 120-volt and 20-amp.
Here is what you don't know, but can figure out:
How much power can
the circuit handle?
(Use Wate's Law)
How many watts does 9
lampposts require?
How many lampposts
could this circuit actually
handle?

Answer:

Approximately [tex]30\; \rm N[/tex] toward the center of the object.

Step-by-step explanation:

Look up the gravitational constant and the mass of the earth:

[tex]\begin{aligned}G &\approx 6.67 \times 10^{-11}\; \rm m^{3} \cdot kg^{-1} \cdot s^{-2} \\ &= 6.67 \times 10^{-11} \; \rm N \cdot m^{2} \cdot kg^{-2}\end{aligned}[/tex].

[tex]M \approx 5.97 \times 10^{24}\; \rm kg[/tex].

Convert the unit of distance to standard units:

[tex]\begin{aligned}r &= 25600\; \rm km \\ &= (25600 \times 10^{3})\; \rm m \\ &= 2.56 \times 10^{7}\; \rm m\end{aligned}[/tex].

Consider two spherical objects with mass [tex]m_{1}[/tex] and [tex]m_{2}[/tex]. Let [tex]r[/tex] denote the distance between the centers of the two objects. By Newton's Law of Universal Gravitation, the size of the gravitational force between these two objects would be:

[tex]\begin{aligned}F &= \frac{G \cdot m_{1} \cdot m_{2}}{r^{2}}\end{aligned}[/tex].

Thus, the size of the gravitational force between this object and the earth would be:

[tex]\begin{aligned}F &= \frac{G \cdot m \cdot M}{r^{2}} \\ &\approx \frac{1}{2.56\times 10^{7}\; \rm m} \\ &\quad \times 6.67 \times 10^{-11}\; \rm N \cdot m^{2}\cdot kg^{-2} \\ &\quad \times 50\; \rm kg \times 5.97 \times 10^{24}\; \rm kg \\ &\approx 30\; \rm N\end{aligned}[/tex].

Since gravitational force is attractive, the [tex]50\; \rm kg[/tex] object in this question would attract the earth through the gravitational force. Thus, this force would point towards the center of this [tex]50\; \rm kg\![/tex] object.

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

Answer:

A 4

Step-by-step explanation:

-1/-4 = 4

Answer:

35/18

Step-by-step explanation:

Answer:

[tex]\frac{4\pi (3)^{3} }{3}[/tex]

Step-by-step explanation:

Because radio=6/2=3 cm (half of diameter)

I hope this help you

Answer:

9 i think

Step-by-step explanation:

Answer:

9 dollars per pound of salmon

Answer:

[tex] - 7 + 3x - 2(3x + 4) = 5(2x - 3) + 4(3x - 1) - 4 \\ - 7 + 3x - 6x - 8 = 10x - 15 + 12x - 4 - 4 \\ - 3x - 15 = 22x - 15 - 8 \\ 25x = 8 \\ x = \frac{8}{25} [/tex]

Answer:

the length of missing side is √115(ie.10.723)

Answer:

8

Step-by-step explanation:

If you're evaluating, then substitute x=2 into the equation.

That gets you 3(2)^2-4

Then do 2^2 and multiply by 3, that should get you 12

After that, subtract 4 from 12, which gets you 8

Answer:

3 hours and 45 minutes i hope i helped you :)))

Step-by-step explanation:

Answer:

[tex]\frac{8^{12} }{8^{9} }=8^{12-9}=8^{3}[/tex]

Step-by-step explanation:

Answer:

She makes 30 portions.

Step-by-step explanation:

To find, you would multiply the amount of tuna you need by the number of onions nicole used.

6/5x2 = 12/5

12/5 ÷ 2/5 = 6

6x5 = 30

She makes 30 portions.

Answer:

= 3

Step-by-step explanation:

The match for the graph would be

This is used to refer to the graphical or the diagrammatical representation that is used to show relationship between variables. With the vy axis and the x axis.

In this graph the two vegetables have the y and the x axis with number of broccoli in the y axis and in the x axis we have tomato.

From the graph we came up with the representation here: The match for the graph would be

Read more on graphs here:

https://brainly.com/question/25184007

#SPJ1

Answer:

not a real number

Step-by-step explanation:

any negative number under a square root sign, except for 0, isn't real

On evaluating the given roots,

(a) [tex]$-(\sqrt[3]{8}) = -2$[/tex]

(b) [tex]$\sqrt[4]{-81}$[/tex] is not a real number

(a) [tex]$-(\sqrt[3]{8})$[/tex]:

The cube root of 8 is the number that, when raised to the power of 3, equals 8. In this case, the cube root of 8 is 2, because [tex]2^3 = 8[/tex].

Since we have a negative sign in front of the cube root, the result will be the negative value of the cube root of 8.

Therefore, [tex]$-(\sqrt[3]{8}) = -2$[/tex].

(b) [tex]$\sqrt[4]{-81}$[/tex]:

The fourth root of a number is the number that, when raised to the power of 4, equals the given number.

In this case, we are looking for the fourth root of -81.

However, the fourth root of a negative number is not a real number. This is because raising a positive number to an even power (in this case, 4) will always result in a positive value, and there is no real number that, when raised to the power of 4, gives a negative result.

Therefore, the fourth root of -81 is not a real number.

To know more about roots, refer here:

https://brainly.com/question/12105008

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Answer:

D. 16

Step-by-step explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

Step 2: Add 8 to both sides.

Step 3: Check if solution is correct.

Therefore, the answer is D. 16.

It's very difficult to understand the chart.Can you please take a screenshot of the chart?

Answer: The equation would be L = 85H + 60

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

1/4*1/8÷1/3÷1/6-3/4+1/2 = 0.3125

- BRAINLIEST answerer ❤️✌

Answer:

0.3125

Step-by-step explanation:

(((((1/4*1) /8) ÷(1/3)) ÷(1/6)) -(3/4) +(1/2)

The answer could be 2 i don’t know really

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The opposite sides of a rectangle are congruent , then

10x - 1 = 4x + 2 ( subtract 4x from both sides )

6x - 1 = 2 ( add 1 to both sides )

6x = 3 ( divide both sides by 6 )

x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( = 0.5 )

Answer:

I think C has the best buy

Answer:

1

Step-by-step explanation:

that's the lowest number

Answer:

No, The domains of a same number are said twice.

Step-by-step explanation:

If it is the range (y) it doesn't matter twice or not.

Answer:

The given relation is not a function.

Step-by-step explanation:

Given the relation: {(3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3)}

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Another way to find out whether a relation or a set of given points represent a function through the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given set of points, every vertical line intersects the graph in at most one point, except for the x-value = 31, where the vertical line contains two points (in red dots) in it:  (31,6) and (31,3).  The given graph fails the Vertical Line Test, which means that it is not a function.

Attached is a screenshot of the graph where I performed the Vertical Line Test.  

Please mark my answers as the Brainliest if you find my explanation helpful :)

Answer:

Part A: 6250

Part B: No

Step-by-step explanation:

Part B: When Time is  2 Hours, the cost is $30.

            30x3=90 < 100

         So the unlimited weekly pass is not cheaper

                  (Find the value of y by given x)

Answer: y=140!!!

:)

Hope you have a good one <3