What is the value of x?

Answer:

\(F=\frac{K Q1Q2}{d^2} \\\)

Step-by-step explanation:

According to coulombs law "the force of attraction or repulsion between two charges Q1 and Q2 in a given medium is directly proportional to the product of their charges and inversely proportional to the square of the distance separating them"

\(F=\frac{K Q1Q2}{d^2} \\\)

where

k = constant of proportionality (\(9.05*10^9\))

Answer:

it is c

Step-by-step explanation:

Answer:

a. y = 7x-98  

y =-3/5x-2  

b. y =-1/3x+4/3  

x =-21

Step-by-step explanation:

a.  7x - y = 98

98 - 7x

-y = -7x + 98

divide by -

y = 7x - 98

3x - 5y = 10

10 - 3x

-5y = -3x + 10

divide by -5

y = -3/5x - 2

b.  x + 3y = 4

4 - x

3y = -1x + 4

divide by 3

y = -1/3x + 4/3

x = 6- 27

x = -21

Answer:

\(36h^3\)

Step-by-step explanation:

   In exponent multiplication, multiply the constants and add the powers of the variable which are same.

   \(\sf \boxed{a^{m}*a^n=a^{m+n}}\)  &

     \(\boxed{a^0 = 1}\)

\(\sf (12g^2h^7)(3g^{-2}*h^{-4})= 12*3 * g^{2+(-2)}*h^{7+(-4)}\\\\\)

                                  \(= 36g^0*h^3\\\\=36*1*h^{3}\\\\=36h^3\)

Answer:

\(\large \bold {\pmb{36h {}^{3} }}\)

Step-by-step explanation:

The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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Answer: =4?

Step-by-step explanation:

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

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The correct equation is: 2(x+4) = 18

An equation is a mathematical statement that asserts that two expressions are equal. An equation consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=).

For example, 2x + 5 = 11 is an equation, where the left-hand side is 2x + 5 and the right-hand side is 11. This equation asserts that the expression 2x + 5 is equal to 11, and the value of x can be determined by solving for x.

Equations can be simple or complex, and they can involve one or more variables. They can also be linear or nonlinear, depending on the nature of the expressions involved.

Solving an equation involves finding the values of the variables that make the equation true. This may involve applying algebraic operations and simplification techniques to isolate the variable on one side of the equation.

Equations are used in many areas of mathematics, science, engineering, and economics, and they provide a powerful tool for modeling and analyzing real-world situations. They are also used extensively in computer programming and cryptography, where they play a critical role in the development of algorithms and data encryption methods.

We are looking for an equation that represents 18 being balanced with 2 groups of x+4. The phrase "2 groups of x+4" means we need to multiply (x+4) by 2. So we have:

2(x+4) = 2x + 8 (distributing the 2)

Now we want this expression to equal 18, so we set it equal to 18 and solve for x:

2x + 8 = 18

2x = 10

x = 5

Therefore, the equation that shows 18 balanced with 2 groups of x+4 is:

2(x+4) = 18

or

2(x+4) = 2(5+4) = 18

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Answer: The Total $110

Step-by-step explanation:

I hope this is what you are looking for

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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Answer:

C =37.7m

Step-by-step explanation:

The circumference is

C  = pi *d

Using the pi button for pi

C = 37.69911184

C =37.7

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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The expected payoff from playing the final round of the game show is -40,312,500

To calculate the expected payoff from playing the final round of the game show, we need to consider the probabilities of answering the question correctly or incorrectly, as well as the corresponding winnings.

Given:

Correct answer: Increase winnings from 93 million to 54 million

Incorrect answer: Decrease winnings to 52,250,000

Probability of answering correctly: 25%

Let's calculate the expected payoff:

Expected payoff = (Probability of correct answer * Winnings from correct answer) + (Probability of incorrect answer * Winnings from incorrect answer)

Expected payoff = (0.25 * (54,000,000 - 93,000,000)) + (0.75 * (52,250,000 - 93,000,000))

Simplifying the equation:

Expected payoff = (0.25 * (-39,000,000)) + (0.75 * (-40,750,000))

Expected payoff = -9,750,000 - 30,562,500

Expected payoff = -40,312,500

Therefore, the expected payoff from playing the final round of the game show is -40,312,500. This means that, on average, you can expect to lose this amount if you decide to play the final round. It would not be profitable to play the final round based on these probabilities and winnings.

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Answer:

x=3

Step-by-step explanation:

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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Answer:

They never break even.

Step-by-step explanation:

Number of days: x

Expenses for x days:

Fixed cost: $5000

Cost per day: $200

Cost for x days: 200x

Income for x days:

12 × $15 × x = 180x

Number of days: x

Total expenses = Total income

200x + 5000 = 180x

Just the daily expense of $200 on food and utilities is greater than the daily income of $180. Then there is the additional initial expense of $5,000, so they will never break even. They start by having an expense of $5,000, and each day they spend $20 more than they receive.

The total is 6 and 2/3 quarts of 70%

Given the data:

0.5(4)+1x=(x+4)0.7

2+x=0.7x+2.8

minus 0.7x both sides

2+0.3x=2.8

minus 2 from both sides

0.3x=0.8

divide both sides by 0.3

x=8/3

adds 8/3 quarts or 2 and 2/3 quarts

total is 4+ 2 and 2/3 or 6 and 2/3

adds 2 and 2/3 quarts of 100%

total is 6 and 2/3 quarts of 70%

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The measure of VXW is 36°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Since VX is a diameter , Therefore angle W is 90°. This is because angle formed from the centre of a circle is 90°.

There is a theorem in circle geometry that states that angle in thesame segment are equal.

Therefore;

8x - 8 + 10x + 8 = 180

18x = 180

18x = 180

divide both sides by 18

x = 180/18

x = 10°

Arc VW is

= 8x-8

= 8(10) -8

= 80 -8

= 72°

Therefore the measure of angle VXW

= 1/2 × 72

= 36°

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The interval that contains the root of f(x) = 2x − x3 + 0.5 is [-2, -1].

To find which interval contains the root of the equation f(x) = 2x − x3 + 0.5, we can use the intermediate value theorem. This theorem states that if a function is continuous on a closed interval [a, b], and takes on values f(a) and f(b) at the endpoints, then for any value y between f(a) and f(b), there exists a value c in [a, b] such that f(c) = y.

In this case, we can evaluate f(x) at the endpoints of the intervals [-2, -1], [-1, 0], [0, 1], and [1, 2], as follows

For [-2, -1]: f(-2) = -11.5 and f(-1) = 1.5
For [-1, 0]: f(-1) = 1.5 and f(0) = 0.5
For [0, 1]: f(0) = 0.5 and f(1) = 1.5
For [1, 2]: f(1) = 1.5 and f(2) = -11.5

From this, we can see that the function changes sign from negative to positive in the interval [-2, -1], which means there must be a root in this interval. We can also see that the function is positive throughout the interval [1, 2], so there cannot be a root in this interval. The intervals [-1, 0] and [0, 1] do not change sign, so we cannot conclude whether or not there is a root in these intervals.

Therefore, the interval that contains the root of f(x) = 2x − x3 + 0.5 is [-2, -1].

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Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 5x - 4

y = 6x $\Rightarrow$ x = y/6

y = 5*y/6 - 4

y = 5y/6 - 4

6y = 5y - 24

y = -24.

So, x = -4

The domain are all of the x-values that are located on the x-axis of a cartesian coordinate while the range all of the y-values that are located on the y-axis of a cartesian coordinate.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

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In order to establish the significance of a correlation, in addition to the correlation coefficient, it is necessary to know the number of paired scores (sample size) to determine the reliability and statistical significance of the correlation. So the correct option is A.

The number of paired scores, also known as the sample size, is essential in determining the significance of a correlation. The reliability and statistical significance of a correlation are influenced by the sample size because a larger sample size provides more information and reduces the influence of random variation.

When calculating a correlation coefficient, it is necessary to have an adequate number of data points or paired scores to ensure that the observed correlation is not purely due to chance. A larger sample size increases the confidence in the correlation estimate and allows for more accurate inference about the population correlation. Statistical tests, such as hypothesis testing or calculation of p-values, rely on the sample size to determine if the observed correlation is statistically significant or likely to have occurred by chance.

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