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3 years ago

What are the first five terms of the sequence given by the formula an=5n+1.

SAT

2 answers:

nevsk [136]3 years ago

8 0

Answer:

1, 5, 9, 13, 176, 11, 16, 21, 265, 10, 15, 20, 255, 6, 7, 8, 9

Explanation:

liq [111]3 years ago

5 0

Answer:

6, 11, 16, 21, 26

Explanation:

Hope this helped<3

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A block of wood has a density of 0.6 g/cm3 and a volume of 1.2 cm3. What is the mass of the block of wood?

Anastasy [175]

Explanation:

Mass=density multiplied by volume

mass=0.6g/cm3 multiplied by 1.2cm3

mass=0.72g/cm3

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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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2 years ago

A pedestrian may ____ if there aren't sidewalks.Aceable

Alik [6]

A pedestrian may walk against traffic (on the left side of the road), if there aren't sidewalks.

<h3>What is a traffic rule?</h3>

A traffic rule can be defined as an accepted and enforceable law or guideline established by a road safety agency, so as to give warnings and instructions to road users such as:

Drivers

Pedestrians

In accordance with national traffic rules and regulations, a pedestrian is permitted by law to walk against traffic, especially on the left side of the road) if there aren't sidewalks.

Read more on traffic rules here: brainly.com/question/22768531

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2 years ago

Fine the mean, median, and mode/s of the data. 2, 8, 10, 12, 56, 9, 5, 2, 4.

Anna35 [415]

Mean: 12, Median: 5, Mode: 54

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3 years ago