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2 years ago

15

You know that 3 pencils and 7 pens cost $24 with 3 pencils and 3 pens cost $12 how many dollars are 4 pencils and 5 pens worth?

1 answer:

Studentka2010 [4]2 years ago

6 0

The answer is the following

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1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

As

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

so

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$

$\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}$

$=\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}$

$=\frac{12.6}{0.025^2\times \:35.4\pi }$ ∵ $\left(10^{-2}\times \:2.5\right)^2=0.025^2$

$=\frac{12.6}{0.022125\pi }$ ∵ $35.4\pi\times 0.025^2=0.022125\pi$

$=\frac{12.6}{0.06950 }$

F $=181.274$ N

Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.

i.e. F $=181.274$ N

7 0

3 years ago

Solve each system of equations using substitution. #4 is done for you.

son4ous [18]

Answer:

y = 5 and x = -3

Step-by-step explanation:

Given,

y = x + 8 ...............( equation 1 )

x + y = 2 ...............( equation 2 )

Now, by substituting the value of y in equation 2, we get;

⇒ x + x + 8 = 2

⇒ x = -3

and now, by substituting the value of x in equation 1, we get;

⇒ y = -3 + 8

⇒ y = 5

8 0

3 years ago

Pls help i really need this

sukhopar [10]

The mab is 45 cm long

4 0

3 years ago

HELP!!! if a hospital patient is given 50 milligrams of medicine, which leaves the bloodstream at 10% per hour, how many milligr

kipiarov [429]

Answer:

I also got 27.44 mg.

Step-by-step explanation:

Use the function given to you:

A(t)=le^rt

l: Initial Amount (50)

r: Rate (-.1) (Negative because the medicine is exiting the bloodstream at 10% per hour

t: 6 (the specific time value you are evaluating the function at.

A(6)=50e^-.1(6)=27.44

8 0

3 years ago

Yearly tuition, housing, and fees for a local college are $9500, $1500, and $1870 respectively. You have saved $6100 and have a

Korvikt [17]

You will need $4270 more

(9500+1500+1870)-(6100+2500)
12870-8600
4270

6 0

3 years ago

Read 2 more answers