For what values of a are the following expressions true?
|a+5|=a+5

Answer:

here is the answer

Step-by-step explanation:

Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc. ... Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords.

Answer:

Step-by-step explanation:

Therefore, answers are Total cost function, C(x) = $50,000 + $12x, Total revenue function, R(x) = $68xProfit function,

P(x) = $56x - $50,000, Marginal profit function, MP(x) = $56

Given that the demand function for a product made in Salt Lake City is given by the function

p(x) 1.8x + 260,

where x is the quantity of items in demand and p is the price per item, in dollars, that can be charged when x units are sold. Also, the fixed costs of production for this item are $3,000 and variable costs are $7 per item produced.

If 18 items are produced and sold, we have to find the following:

The total revenue from selling 18 items, the total costs to produce 18 items, the total profits from producing and selling 18 items, the marginal profit at 18 items (or, equivalently, the approximate profit from the 19th item).

We know that the total revenue is given by the product of the price and quantity.

Therefore, the total revenue obtained by selling 18 items is:

R(18) = p(18) × 18

R(18) = (1.8 × 18 + 260) × 18

R(18) = 5184 dollars

The total cost is the sum of total variable cost and total fixed cost.

Therefore, the total cost to produce 18 items is given as:

C(18) = 18 × 7 + 3000 = 3114 dollars

The total profit from producing and selling 18 items is given as:

P(18) = R(18) - C(18)

P(18) = 5184 - 3114

P(18) = 2070 dollars

Marginal profit can be defined as the extra profit that a company makes when it sells one additional unit of output.

Therefore, marginal profit is equal to the change in profit when one extra unit is produced and sold.

MP(x) = P(x+1) - P(x)

Let's calculate the profit that can be earned by selling 19 units of the item:

R(19) = p(19) × 19

R(19) = (1.8 × 19 + 260) × 19

R(19) = 6141.4 dollars

C(19) = 19 × 7 + 3000 = 3073 dollars

P(19) = R(19) - C(19)

P(19) = 6141.4 - 3073

P(19) = 3068.4 dollars

Now, the marginal profit at 18 items is:

P(19) - P(18) = 3068.4 - 2070 = 998.4 dollars

Therefore, the answers for the given questions are:

Total revenue from selling 18 items = $5184

Total costs to produce 18 items = $3114

Total profits from producing and selling 18 items = $2070

Marginal profit at 18 items (or, equivalently, the approximate profit from the 19th item) = $998.4

Now, we need to calculate the cost function C(x), revenue function R(x), profit function P(x), and marginal profit function MP(x) for the CD company.

It is given that the variable cost is $12 per CD, fixed costs are $50,000 and selling price is $68 per CD.

Therefore, the total cost function, C(x) can be written as:

C(x) = Total fixed cost + Total variable cost= $50,000 + $12x

The total revenue function, R(x) can be written as:

R(x) = Selling price x Quantity = 68xThe profit function, P(x) can be written as:

P(x) = R(x) - C(x) = 68x - 50,000 - 12x = 56x - 50,000

The marginal profit function can be written as:

MP(x) = P(x+1) - P(x)

MP(x)= (56(x+1) - 50,000) - (56x - 50,000)

MP(x) = 56

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Answer:

Its \(-6x^(3)+ x^(2) - \sqrt(5)\)

Step-by-step explanation:

The algebraic expression that is a polynomial is -6x³ + x² - √5

A polynomial function is an expression that consists of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomals include:

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Answer:

Neil Armstrong and Buzz Aldrin

Step-by-step explanation:

Fifty years after Neil Armstrong, Buzz Aldrin and Michael Collins became etched in history, the Apollo 11 mission remains an iconic moment in broadcasting. It's estimated that between 600-650 million people tuned in around the world to Armstrong and Aldrin's broadcast from the lunar surface on July 20, 1969.

Answer:It would be 30!

Step-by-step explanation:

You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.

Answer: x =-2/9

Explanation:

The expression we have is:

Step 1. Multiply both sides by 5/2

this is so that in the left side 5/2 x 2/5 would cancel each other:

Step 2: Solve the multiplication in the right side

As we can see we are left with an expression that can be solved for x.

Step 3: Move all of the terms that contain x to the left side, and all of the numbers to the right side:

Step 4: Combine like terms

Step 5: Divide both sides by -9:

Answer: x =-2/9

A- There is a variable X3 that is correlated with Y but not with X2.

If there is a variable X3 that is correlated with Y but not with X2, including X3 in the regression model can introduce bias to the coefficient for X2. This is because X3 is a confounding variable that affects both Y and X2. By omitting X3 from the regression model, the estimated coefficient for X2 will absorb the influence of X3, leading to a biased coefficient for X2.

In order to obtain an unbiased coefficient for X2, it is important to include all relevant variables that are correlated with both Y and X2 in the regression model.

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a. The probabilities of winning for the given selections is 0.0024

b. The probabilities of winning for the given selections is 0.0012

c. The probabilities of winning for the given selections is 0.0006

d. The probabilities of winning for the given selections is 0.0004

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an event that is impossible or will never occur, and 1 represents an event that is certain or will always occur .The closer the probability value is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely the event is to occur.

To calculate the probability of winning in the given state lottery scenario, we need to determine the total number of possible outcomes and the number of favorable outcomes for each selection.

In this lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Since replacement is allowed, the total number of possible outcomes for each digit is 10 (0 to 9).

a. Probability of winning if you select 6, 7, 8, 9:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: 4! (4 factorial) = 4 * 3 *2 * 1 = 24

The probability of  total number of favorable outcomes divided by the total number of possible outcomes:

Probability of winning = \(\frac{24 }{10^4}=\frac{ 24}{10000} = 0.0024\)

b. Probability of winning if you select 6, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2!}\) (4 factorial divided by 2 factorial) = \(\frac{4 * 3 * 2 * 1}{ 2 * 1}= \frac{24}{2} = 12\)

Probability of winning = \(\frac{12 }{10^4} = \frac{12 }{10000 }= 0.0012\)

c. Probability of winning if you select 7, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2! * 2!}= \frac{4* 3 * 2 * 1}{2* 1 * 2 * 1} = \frac{24}{4} = 6\)

Probability of winning =\(\frac{6 }{10^4} = \frac{6}{10000} = 0.0006\)

d. Probability of winning if you select 7, 8, 8, 8:

Total number of possible outcomes for each digit: 10 Total number of favorable outcomes: \(\frac{4!}{3! * 1!}= \frac{4 * 3 * 2 * 1}{3 * 2 * 1 * 1} = 4\)

Probability of winning = \(\frac{4 }{10^4} = \frac{4}{10000 }= 0.0004\)

Therefore, the probabilities of winning for the given selections are: a. 0.0024 b. 0.0012 c. 0.0006 d. 0.0004

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The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer: The natural exponential is the inverse of the natural logarithm. The natural exponential is the negative of the natural logarithm. The domain of the natural logarithm is the set of all positive numbers. The domain of the natural logarithm is the set of all real numbers.

Step-by-step explanation:

Answer:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Answer:

y = x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line

m = \(\frac{10-6}{4-0}\) = \(\frac{4}{4}\) = 1

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = x + 6 ← equation of line

Answer:

Like do a form on the internet or do a form in mail

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Because the 2 sides and 2 other sides and bottom

Answer:

The prism has 5 faces

Step-by-step explanation:

A face is a side of a polygon.

~theLocoCoco

(a) With 10 rectangles using left endpoints, 5 rectangles are contributing negative area values to the estimated net area. This means that the function is below the x-axis in those intervals.

The remaining 5 rectangles are contributing positive area values, as the function is above the x-axis in those intervals.

When using midpoints, the number of positive and negative rectangles may not be the same. It depends on the behavior of the function within each subinterval. The use of midpoints can result in a different distribution of positive and negative rectangles compared to using left endpoints.

(b) The error when using midpoints with 10 subintervals can be determined by calculating the difference between the estimated net area using midpoints and the actual net area.

To calculate the error, we need to evaluate the definite integral of the function over the given interval and subtract the estimated net area using midpoints.

Error = Actual Net Area - Estimated Net Area using Midpoints

Since the exact values are not provided, the specific error value cannot be determined without further information or calculations.

Using left endpoints with 10 rectangles, 5 rectangles contribute negative area values and 5 contribute positive area values. When using midpoints, the distribution of positive and negative rectangles may differ. The error when using midpoints can be calculated by subtracting the estimated net area using midpoints from the actual net area, but the exact error value cannot be determined without further information or calculations.

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The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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Answer:

Using a calculator, we can find the cube root of 16:

∛16 ≈ 2.5198

Adding 10 to this value, we get:

10 + ∛16 ≈ 12.5198

Rounding this to the nearest tenth, we get:

10 + ∛16 ≈ 12.5

The scatter plot will start looking like an upward line if the owner starts increasing the price by $25 every month.

A scatter plot is a graphical representation of a set of data points, where the position of each point on the x and y-axis represents the values of two variables.

If we use a scatter plot to represent the relationship between the number of months (x-axis) and the profits (y-axis) of a theater as the price of a ticket increases by $25 every month, we might expect to see the following:

A positive correlation between the number of months (x-axis) and the profits (y-axis). This means that as the number of months increases, the profits will also increase.

A linear pattern of data points, with the data points lying on or close to a straight line. This is because the price of a ticket is increasing by a fixed amount ($25) every month, so the profits will also increase by a fixed amount every month.

The slope of the line will be positive, representing the increase in profits each month.

It might look like a line that starts at low profits and as the months progress the line moves upward to the right, representing the increase in profits.

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Answer:y = 4x-5.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:  

2(2^x)+6=134

2(2^x)=128

2^x=64

x=8

Answer:

Nicholas can order up to 3 toppings.

Step-by-step explanation:

Solve for the tip:

15% of the total cost = 15% × $7.50

Convert percentage into a decimal:

0.15 × 7.50 = 1.125

Variable x = number of toppings

Set up an equation:

7.50 + 1.125 + 1.25x = 13

Combine like terms:

8.625 + 1.25x = 13

1.25x = 4.375

x = 3.5

Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.

\( 1.\frac{4}{5} \times 0.820 \\ = 4 \times 0.164 \\ = 0.656\)

\(2. \frac{3}{8} + 0.13 \\ = \frac{3 + 1.04}{8} \\ = \frac{4.04}{8} \\ = 0.505\)

\(3. \frac{7}{9} \times 0.230 \\ =0.178 \: (approximately)\)

ray4918 here

Answer:

Step-by-step explanation:

You want the measures of the angles marked x° and y° in the given diagram.

The measure of an inscribed angle is half the measure of the arc it intercepts. This means any inscribed angles that intercept the same arc will have the same measure.

The inscribed angles with vertices J and K both intercept arc FH, so both have the marked measure of 56°.

  x = 56

The angle where the chords cross (y°) will be half the sum of the arcs those chords intercept. Here, those are arcs FH and JK.

Given that half the arc measure is the measure of the intercepting inscribed angle, we can simply sum the inscribed angles to get y°:

  y° = 56° +19° = 75°

  y = 75

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Answer: 384

Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.

Answer:

$3840

Step-by-step explanation:

10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price,                 3840-384=3456. So 3456 is the final price after including the 10% discount.

What is Laplace Transform?

In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace. It transforms a function of a real variable t into a function of a complex variable s. The transformation has many applications in science and engineering. The Laplace transform is similar to the Fourier transform.

Let's consider each case separately:

Function: f(x) = u(x - a)

The graph of this function is a step function that starts at x = a and is equal to 1 for x ≥ a and 0 for x < a. It is a horizontal line at y = 1 starting from x = a.

The Laplace transform of f(x) = u(x - a) is given by:

L{f(x)} = ∫[0,∞] e^(-sx) f(x) dx

For x < a, f(x) = 0, so the integral becomes:

L{f(x)} = ∫[0,∞] e^(-sx) * 0 dx = 0

For x ≥ a, f(x) = 1, so the integral becomes:

L{f(x)} = ∫[a,∞] e^(-sx) * 1 dx

Evaluating this integral, we get:

L{f(x)} = -e^(-as) / s

Function: f(x) = [x]

The graph of this function is a series of horizontal line segments with jumps at integer values. The value of f(x) is equal to the greatest integer less than or equal to x.

The Laplace transform of f(x) = [x] is given by:

L{f(x)} = ∫[0,∞] e^(-sx) f(x) dx

Considering the intervals between the jumps, the integral becomes:

L{f(x)} = ∫[n,n+1] e^(-sx) * n dx

= n * ∫[n,n+1] e^(-sx) dx

Evaluating this integral, we get:

L{f(x)} = n * (-1/s) * e^(-sx) |[n,n+1]

= n * (-1/s) * (e^(-sn) - e^(-s(n+1)))

Function: f(x) = x - [x]

The graph of this function consists of diagonal line segments with jumps at integer values. The value of f(x) is equal to x minus the greatest integer less than or equal to x.

The Laplace transform of f(x) = x - [x] can be found by taking the Laplace transform of each term separately:

L{f(x)} = L{x} - L{[x]}

The Laplace transform of x is given by:

L{x} = 1/s^2

The Laplace transform of [x] is already found in the previous case.

So, L{f(x)} = 1/s^2 - L{[x]}

Function: f(x) = {sin(x) if 0 ≤ x ≤ π, 0 if x > π}

The graph of this function is a sine wave between x = 0 and x = π, and it is zero for x > π.

The Laplace transform of f(x) = {sin(x) if 0 ≤ x ≤ π, 0 if x > π} is given by:

L{f(x)} = ∫[0,π] e^(-sx) sin(x) dx

Evaluating this integral, we get:

L{f(x)} = 1 / (s^2 + 1)

These are the Laplace transforms of the given functions.

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Answer:

-120 loves of bread were sold in 4 hours.

-40 loves of bread wereleft to sale.

Step-by-step explanation:

To determine the amount of loves of bead that were sold in 4 hours, you have to mutiply the amount of loves sold each hour for 4:

30*4=120

This means that 120 loves of bread were sold in 4 hours.

Now, to determine the amount of loves of bread left to sale, you have to find the amount of loves produced on the two batches of bread by multiplying the amount produce in each batch for 2:

80*2=160

Finally, you have to subtract the amount of loves sold in 4 hours from the amount produced in two batches:

160-120=40

According to this, 40 loves of bread were left to sale.

The function r ( m ) $12 more than the salary of someone who has worked for m months.

What is function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x.

If we have S(m) represents salary after m months i.e. y=S(m) will be the graph of salary Corresponding to the number of months m.

So, we have \(m+12 \geqslant 12$,\)

\($\Rightarrow S(m+12)$\) will give us the value of Salary after 12 months of the Job.

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Answer:

135 minutes or 2 1/4 hours

Step-by-step explanation:

18 minutes  =    4 pages

_________      ________

        x                30pages

18x30=540

4x=540

540/4

x=135 minutes or 2 1/4 hours

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