Will mark brainliest! HELP MEEE!!

The charge q is ±7.46 × 10⁻⁷C.

Give:

Take a look at the charge on the left. The following forces are at work in response to this charge:

(Refer to the diagram below)

Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.

We have the following in the vertical direction:

[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]

Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:

[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]

Here,

Using trigonometric personalities, the distance between any two charges is:

[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]

We have the following in the vertical direction:

[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]

Therefore, the charge q is ±7.46 × 10⁻⁷C.

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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?

Answer:

Step-by-step explanation:

[tex]1. \: \: - 2 \times - 3 = \\ = 6[/tex]

[tex]2. \: \: ( - 3 \times 4) \div ( - 8) = \\ = ( - 12) \div ( - 8)\\ = ( - 6 )\div ( - 4) \\ = ( - 3 )\div ( - 2 )\\ = 1.5[/tex]

[tex]3. \: \: ( - 2) \times ( - 3) \times ( - 4) = \\ = 6 \times ( - 4) \\ = - 24[/tex]

Answer:

fifth letter: E

eighth letter: H

third letter: C

Im not sure

Answer: 2

Step-by-step explanation:

as x is to a power of 2 so degree is 2

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The total length of red and blue ribbons is 10.2 m.

Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.

Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8

=10.2 m

Therefore, the total length of red and blue ribbons is 10.2 m.

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99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

What is a normal distribution?

A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.

part of values below a certain threshold, a= (1-0.995)/2 = 0.0025

Mean,m  =20

Standard deviation,s = 3

 Z = (X – m) / s

   P(x<Z): 0.0025

P(x<Z) = 0.0025 can be determined for Z score.

according to the usual table, Z = -2.807

X = Zs+m

(-2.807 * 3) +20= 11.579

Lower limit = 11.579

Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.

P(x<Z): 0.9975

Z score for which P(x<Z) = 0.9975 can be found

from the normal table as, Z = 2.807

X = Zs+m

(2.807 * 3) +20= 28.421

Upper limit = 28.421

99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

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Answer:

no sé

Step-by-step explanation:

Let the middle integer be x.

We're given:

[tex](x-1) + x + (x+1) = -27[/tex]

Open up the brackets:

[tex]x-1 + x + x+1 = -27[/tex]

Combine like terms:

[tex]3x = -27[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]

[tex]x=-9[/tex]

The value of the middle integer is -9.

The final area of the mixer cover is 1650/7 square cm.

Given that:-

Diameter of circular plywood cover = 20cm

Diameter of circular hole in the middle = 10cm

We have to find the final area of the mixer cover after cutting the hole in the middle.

We can find the radius of the circular cover and the circular hole using their respective diameters.

Hence,

Radius of circular plywood cover = 20/2 = 10 cm

Radius of circular plywood cover = 10/2 = 5 cm

We know that,

Area of circle = [tex]\pi r^2[/tex]

Hence,

Area of circular plywood cover = [tex]\frac{22}{7}*(10)^2 =\frac{2200}{7}[/tex]

Area of circular hole  = [tex]\frac{22}{7}*(5)^2 =\frac{550}{7}[/tex]

Final area = Area of circular plywood cover - Area of circular hole

Final area = (2200/7) - (550/7) = 1650/7 square cm.

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Using proportions, it is found that Belinda's map uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

Scale problems are solved using proportions. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet, hence:

Belinda's map has the same area, hence they use the same scale, hence she uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.

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Answer:

D. Negative 1 over 12

Step-by-step explanation:

-1/3*1/4=-1/12

Hope this helps!

Please mark as brainliest if correct!

Answer:

-1/12, so D.

Step-by-step explanation:

-1/3(1/4)

-1/12

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A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.

In the expression bn, b is the base and n is the exponent.

The Power Rule for Exponents: (am)n = am*n.

To raise a number with an exponent to a power, multiply the exponent times the power.

Negative Exponent Rule: x–n = 1/xn.

Invert the base to change a negative exponent into a positive.

Zero Exponent Rule: x0 = 1, for .

Any non-zero number raised to the zeroth power is 1.

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Answer:

21 g

Step-by-step explanation:

12g

+ 9g

_____

21g

======

I think this is the answer but i can't confirm because your theory and my theory can be different

r = number of reptiles on the endangered species list

2r = twice that number

2r < 127 since the 127 is more than twice the number of reptiles

Solve for r by dividing both sides by 2

2r < 127

r < 127/2

r < 63.5

If r is a positive whole number, then r could be anything from this set: {1, 2, 3, ..., 62, 63}

Unfortunately there isn't enough information to fully pin down what r is.

I would ask your teacher for further clarification.

Answer:  Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm. You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm². Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.

Step-by-step explanation:

Step-by-step explanation:

STEP1:Equation at the end of step 1

(((2 • (x3)) + 32x2) - 6x) - 40

STEP 2 :

Equation at the end of step2:

((2x3 + 32x2) - 6x) - 40

STEP3:Checking for a perfect cube

 3.1    2x3+9x2-6x-40  is not a perfect cube

Trying to factor by pulling out :

 3.2      Factoring:  2x3+9x2-6x-40 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -6x-40 

Group 2:  2x3+9x2 

Pull out from each group separately :

Group 1:   (3x+20) • (-2)

Group 2:   (2x+9) • (x2)

I thing it will help you

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Ensuring that data is collected the same way each time it is collected is an example of data consistency.

Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.

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Answer:

I don't know how it works

Answer:

12

Step-by-step explanation:

√144 = 12

Answer:

A. 23×10^3

B. 11×10^4



Your answer would be B, 11x10^4.

Step-by-step explanation:

To find your answer you can evaluate each equation and compare your answers.

A:

10^3 = 1,000

23•1,000 = 23,000


B:

10^4 = 10,000

11•10,000 = 110,000

End Result:

110,000 > 23,000

Therefore your answer would be choice B.








Have a great rest of your day.

From the one and only,
Mr. Universe

Answer:

A:

10^3 = 1,000

23•1,000 = 23,000

10^4 = 10,000

11•10,000 = 110,000

110,000 > 23,000

Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

Given the problem above, we would do the following:

Using the information given, we would form two equations for the system as shown below:

2v + 3d = 90 ---> equation 1

v + 2d = 51.5 ---> equation 2

Multiply equation 2 by 2 to get equation 3

2v + 4d = 103 ---> equation 3

Subtract equation 1 from equation 3

d = 13

The cost of one DVD = d = $13.00

Substitute d = 13 into equation 2

v + 2d = 51.5 ---> equation 2

v + 2(13) = 51.5

v + 26 = 51.5

v = 51.5 - 26

v = 25.5

The cost of one video game = v = $25.50.

Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

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Answer: 1²⁷/₂₈

Step-by-step explanation:

[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]

The cost of Green fees for each person is $16.

As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees  being $76.

We are required to calculate the cost of Green fees for each person.

Let us assume that the cost of Green fees for each person is "x".

We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.

[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]

That is, the cost of Green fees for each person is $16.

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p has an odd degree and an odd leading coefficient.

So,

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3

Therefore, your answer should be:

y = 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Maximum time = 0.914 hour , Minimum time = 1.28 hour

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.

Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X  time equals distance, and

Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.

Distance = speed  x  time

Maximum speed =  150 +25

                              = 175 miles/ hour

Minimum speed = 150 - 25

                              = 125

Distance = 160 miles

Maximum time = 160/175

                              = 0.914 hour

Minimum time = 160/125

                           = 1.28 hour

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