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alex41 [277]
3 years ago
5

For an art project, Corinne and Amelia want to combine their colored pens and distribute them equally among 12 first graders. If

Corinne has 84 colored pens and Amelia has 72 colored pens, how many pens does each first grader get?
A. 6 pens
B. 8 pens
C. 12 pens
D. 13 pens
SAT
1 answer:
Andreyy893 years ago
8 0
Poop sock poop sock poop sock
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D. A popular setting



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A point charge q1 = -4. 00 nc is at the point x = 0. 60 m, y = 0. 80 m , and a second point charge q2 = +6. 00 nc is at the poin
Alekssandra [29.7K]

The net electric field is the vector sum of the components of the electric

field produced by the two charges.

The values of the magnitude and direction of the net electric field at the origin (approximate values) are;

  • 131.6 N/C
  • 12.6 ° above the negative x–axis

<h3>How are the net electric field magnitude and direction calculated?</h3>

The possible questions based on a similar question posted online are;

(a) The net electric field at the origin.

The electric field due to charge q₁ is given as follows;

\vec E_{1x} = \mathbf{ \dfrac{1}{4 \cdot \pi \cdot \epsilon_0} \cdot \dfrac{q_1}{\vec{r}^2_2}}

Which gives;

\vec{E}_{1x} =\mathbf{ \dfrac{\left(9 \times 10^9 \, N \cdot m/C^2 \right) \cdot \left(-4 \, nC \times \dfrac{10^{-9}C}{1 \, nC} \right)}{\left(1 \, m \right)^2}} \cdot cos\left(arctan\left(\dfrac{0.8}{0.6} \right) \right) =-21.6 \, N/C

\vec{E}_{1y} = \mathbf{\dfrac{\left(9 \times 10^9 \, N \cdot m/C^2 \right) \cdot \left(-4 \, nC \times \dfrac{10^{-9}C}{1 \, nC} \right)}{\left(1 \, m \right)^2}} \cdot sin\left(arctan\left(\dfrac{0.8}{0.6} \right) \right) = 28.8 \, N/C

Which gives;

\vec{E}_1 = \mathbf{21.6 \, N/C  \cdot \hat x +  28.8 \, N/C \hat y}

\vec{E}_{2x} = \dfrac{\left(9 \times 10^9 \, N \cdot m/C^2 \right) \cdot \left(6.00 \, nC \times \dfrac{10^{-9}C}{1 \, nC} \right)}{\left(1 \, m \right)^2} = 150 \, N/C

Therefore;

\vec  {E} = \left[ 21.6 \, N/C - 150 \, N/C \right] \left( \hat x \right) + \left(28.8 \, N/C \right) \left( \hat y \right)

\vec  {E} = \mathbf{\left( -128.4 \, N/C  \right) \left( \hat x \right) + \left(28.8 \, N/C \right) \left( \hat y \right)}

The magnitude of the net electric field is therefore;

E = \sqrt{(-128.4^2 + 28.8^2)} ≈ 131.6

  • The magnitude of the net electric field at the origin is E ≈<u> 131.6 N/C</u>

(b) The direction of the net electric field at the origin.

  • The \ direction \ is \ arctan \left(\dfrac{28.8}{-128.4} \right) \approx \underline{ 12.6^{\circ}} \ above \ the \ negative \ x-axis

Learn more about electric field strength here:

brainly.com/question/14743939

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3 0
2 years ago
Pls help! I need the answer fast!
Elodia [21]

Answer:

C) 12.68 mm

Explanation:

Hope I helped!

4 0
3 years ago
Which procedures are examples of descartes’s rules for scientific reasoning? check all that apply.
lions [1.4K]

The procedures that can be regarded as part of descartes’s rules  in science are;

<em>keeping a detailed record of the procedure and results of a scientific experiment</em>

<em>conducting an experiment to confirm the effects of gravity on Earth</em>

<em>solving an expression in steps using the order of operations</em>

<em />

  • René Descartes can be regarded as one of the philosopher that brings sbout invention of analytical geometry as well as skepticism which serve as  essential part of the scientific method.

  • With his analytical geometry relationship between separate fields of geometry and algebra were established.

Descartes has four rules which help him to have a true conclusion about his research, and they are :

  1. Doubting of everything is allowed
  2. Every bulk problem must be broken into parts
  3. Solving of the simplest problem must come first.
  4. Be thorough.

Therefore, descartes’s rules can be regarded as essential  part of scientific method

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Which reproductive combination produces hybrids
mariarad [96]

A reproductive combination between living parent organisms which produces hybrids is: c. when members of closely related species reproduce.

<h3>What is reproduction?</h3>

Reproduction can be defined as a biological process through which all living parent organisms produce their offspring, especially through mating.

<h3>What is a species?</h3>

A species is a biological classification of related organisms that have the same or similar characteristics, and they are capable of mating (breeding) with one another in a cycle or different seasons.

During the reproduction process, a reproductive combination between living parent organisms which would produce hybrids is usually when members of closely-related species reproduce.

Read more on reproduction here: brainly.com/question/2538465

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Complete Question:

Which reproductive combination produces hybrids?

a. when individuals of the same species in different geographical areas reproduce

b. when any two individuals sharing the same habitat reproduce

c. when members of closely related species reproduce

d. when offspring of the same parents reproduce

3 0
2 years ago
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