twice a number x added to 10

2x + 10

x + 10

10x + 2

2x/2 + 10

The electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

The electric field is a vector field that represents the force experienced by a charged particle due to an electric charge distribution. It is a measure of the electric force per unit charge at a particular point in space. The electric field is defined as the negative gradient of the electric potential, which is the energy per unit charge that a charged particle would have at that point in space. The electric field can be used to calculate the force experienced by a charged particle in the presence of other charges, and is a fundamental concept in the study of electromagnetism.

The electric field force between two point charges is given by Coulomb's law:

F = k * (q₁ * q₂) / r²

where k is the Coulomb constant (8.99 x 10⁹ N m²/C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.

To calculate the work done by the electric field force, we need to find the force at the initial distance (0.30 m) and the final distance (1.05 m), and then subtract the work done at the initial distance from the work done at the final distance.

At a distance of 0.30 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (0.30 m)² = 4.02 x 10⁻⁸ N

The work done at this distance is:

W = F * 0.30 m = 1.21 x 10⁻⁷ J

At a distance of 1.05 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (1.05 m)² = 1.33 x 10⁻⁸ N

The work done at this distance is:

W = F * 1.05 m = 1.40 x 10⁻⁷ J

Finally, to find the total work done, we subtract the work done at the initial distance from the work done at the final distance:

W total = W final - W initial = 1.40 x 10⁻⁷ J - 1.21 x 10⁻⁷ J = 1.90 x 10⁻⁸ J.

Therefore, the electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

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Financial Maths

A sequence of equal payments (or deposits) at equal periods of time is called an annuity.

The future value of an annuity can be calculated with the formula:

Where:

FV is the future value of the annuity

A is the periodic deposits

n is the number of compounding periods per year

i is the interest rate adjusted to the compounding periods. i = r/n where r is the APR.

t is the duration of the investment in years

The financial variables for this investment are:

A = $1100

r = 3.7% = 0.037

n = 360. Daily compounding

i = 0.037/360 = 0.000102777

It's crucial to keep as many decimals as possible in the calculations.

Applying the formula:

Calculating:

FV = $14,361,798.98

Calculation steps (in strict order)

* Add 1 + 0.00010277 = 1.00010277

* Multiply 360*23 = 8280

* Raise 1.00010277^8280 = 2.341885

* Subtract 1 = 1.341885

* Divide by 0.00010277 = 1.341885/0.00010277=13056.18

* Multiply by 1100: $14,361,798.98

Rounded to the nearest cent

Answer:

A

Step-by-step explanation:

That's your answer...

dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......

just look at the one that has the letter x going up it is c or d

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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The length of AB is AB = 8 units.

What is distance between two points?

The length of a straight line in the coordinate plane that connects two points in space is what is referred to as their distance. We use the absolute value to calculate the distance between any two points because it is impossible for this distance to be negative.

Consider, the given points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7).

We have to find the length of AB.

Consider, the distance formula,

\(d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\)

where,

\((x_1, y_1)\) and \((x_2, y_2)\) are the points.

Here,

\((x_1, x_2) = (-4, -3)\\(x_2, y_2) = (4, -3)\)

Plug these values in the above formula,

\(d = \sqrt{(4-(-4))^2+(-3-(-3))^2} \\d = \sqrt{8^2 +0^2} \\d = \sqrt{8^2} \\d = 8\)

Hence, the length of AB is AB = 8 units.

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The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Step-by-step explanation:

To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):

x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)

Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:

x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7

Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.

Note that this expression is defined for all values of x and y except for x=0.

The given function with a constant rate of change that equals -3 is: 2y = -6x + 10.

The constant rate of change of a function = change in y / change in x. Given an equation of a function in slope-intercept form, y = mx + b, the constant rate of change is represented as m.

1. Constant rate of change of the function on the table using two pairs of values, (0, 2) and (1, 5) is:

(5 - 2)/(1 - 0) = 3/1

Constant rate of change = 3.

2. Constant rate of change of the function of the set of ordered pairs  using two pairs of values, (4, 4) and (2, 2) is:

(4 - 2)/(4 - 2) = 2/2

Constant rate of change = 1.

3. Constant rate of change of the graphed function using two points on the line, (1, 1) and (0, 3) is:

(3 - 1)/(0 - 1) = 2/-1

Constant rate of change = -2.

4. Constant rate of change of the function 2y = -6x + 10:

Rewrite the equation in slope-intercept form

2y/2 = -6x/2 + 10/2

y = -3x + 5

Constant rate of change = -3.

Therefore, the function with a constant rate of change is: 4. 2y = -6x + 10

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Answer: Reciprocals

Explanation isn't really needed but reciprocals are basically
Example:

3/4's reciprocal is 4/3 and multiplying 3/4 x 4/3 = 1

Step-by-step explanation:

Total gum balls = 22 + 18 + 10 + 23 = 73

Probability of red gum = 22/73

Answer:

7 pi square 9.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

139°

Step-by-step explanation:

They would both be 139

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

Hello! answer: 64

Step-by-step explanation:

I split this into a triangle and rectangle and did the appropriate formulas for each for square I did base × height and got 48 because 8 × 6 = 48 then for the triangle I did base × height ÷ 2 So I did 8 × 4 = 32 32 ÷ 2 = 16 now I just add these two numbers up! so... 48 + 16 = 64 HOPE THAT HELPS!

Answer:

A = 64 in²

Step-by-step explanation:

Step 1: Add the bases

\(10 + 6 = 16\)

Step 2: Multiply that by the height

\(16 * 8 = 128\)

Step 3: Divide the result by 2

\(\frac{128}{2} = 64\)

Therefore, the area of the trapezoid is 64 in²

Answer:

-60 ? At least that's if you meant like

\(5 \times ( - 12) = - 60\)

Answer:

Cannot simplify As a decimal 0.41.6 Explanation: 512 does not cancel down

Step-by-step explanation:

Using the hypergeometric distribution, it is found that there is a 0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

The containers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that exactly one of the containers is from the Florida supplier is P(X = 1), hence:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 1) = h(1,18,3,11) = \frac{C_{11,1}C_{7,2}}{C_{18,3}} = 0.2831\)

0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

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Solution

We can create the following equation:

f(x)= x(250-2x)

Answer:

f(7) = -196

Step-by-step explanation:

f(7) = -3(7)² - 7(7)

-147 - 49

-196

Answer:

125

Step-by-step explanation:

Any number to the power of 0 equals 1

5^0 = 1

5^3 = 5 × 5 × 5

5 × 5 × 5 = 25 × 5 = 125

1 × 125 = 125

Answer:

125

Step-by-step explanation:

5⁰×5³

1×5³

1×125

125

Answer:

16

Step-by-step explanation:

4c + 8

Replace 'c' with 2 and evaluate:

4(2) + 8

8 + 8

16

Hope this helps.

Answer:

9

Step-by-step explanation:

2,3,4,7,7,7,9,9,14,17,21

21,17,14,9,9,7,7,7,4,3,2

3,7,7,7,9,9,17,21

Step-by-step explanation:

mean = sum ÷ numbers

= 100 ÷ 11

= 9.09

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

\(\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\\)

\(\boxed {\sf x=30}\)

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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