How do you write 41,300 in scientific notation?​

Answer:

20

Step-by-step explanation:

Vertical angles are equal to each other

x = -3x + 80

x + 3x = 80

4x = 80 divide both sides by 4

x = 20

Answer:

y=4x+6

Step-by-step explanation:

To find the equation of a line, use y=mx+b form. In this case, we need to find b and then find known values. When the line passes through the point (-2, -2) and has a slope of 4, we use the form to find the equation, and we will get y=4x+6.

The revenue function for Company A is R(x) = 16x, where x represents the number of gidgets sold.

The cost function for Company A is C(x) = 12x + 1,424, where x represents the number of gidgets produced.

The total profit function for Company A is P(x) = 4x - 1,424.

Company A will break even when they sell 356 gidgets.

Company A will start making a profit when they sell more than 356 gidgets.

To analyze the revenue and cost functions for Company A, let's break down the given information step by step.

The revenue function, R(x), represents the total revenue generated by selling x number of gidgets. It is given as:

R(x) = 16x

This means that for each gidget sold, the company earns $16 in revenue. The revenue function is linear, where the coefficient 16 represents the revenue generated per unit (gidget).

The cost function, C(x), represents the total cost incurred by producing x number of gidgets. It is given as:

C(x) = 12x + 1,424

This means that the cost function is also linear, with a coefficient of 12 representing the cost per unit (gidget). The constant term 1,424 represents the fixed costs or overhead expenses incurred by the company.

Now, let's analyze the functions further and answer a few questions:

What is the total profit function, P(x), for Company A?

The total profit function can be determined by subtracting the cost function (C(x)) from the revenue function (R(x)):

P(x) = R(x) - C(x)

P(x) = 16x - (12x + 1,424)

P(x) = 16x - 12x - 1,424

P(x) = 4x - 1,424

Therefore, the total profit function for Company A is P(x) = 4x - 1,424.

At what level of production will Company A break even (have zero profit)?

To find the break-even point, we set the profit function (P(x)) equal to zero and solve for x:

4x - 1,424 = 0

4x = 1,424

x = 1,424 / 4

x = 356

Therefore, Company A will break even when they sell 356 gidgets.

At what level of production will Company A start making a profit?

To determine the level of production where the company starts making a profit, we need to find the point where the profit function (P(x)) becomes positive. In this case, any value of x greater than 356 will result in a positive profit.

Hence, Company A will start making a profit when they sell more than 356 gidgets.

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Answer:

c

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

first you subtract 8x from -4x to get -12x. Then you add the rest on -12x+3=-21. Subtract 3 from both sides.

-21-3=-24 -24 divided by -12= 2

a) The amount of gold edging that they will need for each plate is of: 37.7 inches.

b) The amount of gold edging for a box of 24 plates is of: 904.8 inches.

c) The total cost for the box of 24 plates is given as follows: $29.41.

The gold edging is placed around the circumference of the circular plate, hence the circumference needs to be obtained.

The circumference of a circle of radius r is given by the multiplication of 2π and r, as follows:

C = 2πr.

The radius of the plate in this problem is given as follows:

r = 6 inches.

Hence the circumference of the plate in this problem is given as follows:

C = 2π x 6 = 12π inches = 37.7 inches.

For the box of 24 plates, the amount needed is given as follows:

24 x 37.7 = 904.8 inches.

It costs $3.25 per 100 inches of gold edging, hence the total cost for the 24 plates is obtained as follows:

904.8/100 x 3.25 = $29.41.

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Given,

Length = x+7

Breadth = x+5

We know that,

Area of rectangle = length × breadth

So, area of the given rectangle

= (x+7)(x+5)

= x² + 5x + 7x + (7×5)

= x² + 12x + 35

Answer:

K= 15

Step-by-step explanation:

K/-3 +3 = -2

Simplify by subtracting 3 on each side:

K/-3 = -2-3

K/-3 = -5

Simplify further by multiplying each side by -3:

K= -5*-3

K = 15

Answer: Hope it helps!!!

Step-by-step explanation:To solve this problem, we need to standardize the value of X using the formula:

z = (X - μ) / (σ / sqrt(n))

where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

a) To find the probability that X is less than 95, we first need to standardize the value of 95:

z = (95 - 101) / (20 / sqrt(16)) = -1.6

We can then use a standard normal distribution table or calculator to find the probability:

P(X < 95) = P(z < -1.6) = 0.0548

Therefore, the probability that X is less than 95 is 0.0548 or about 5.48%.

b) To find the probability that X is between 95 and 105, we need to standardize the values of 95 and 105:

z1 = (95 - 101) / (20 / sqrt(16)) = -1.6

z2 = (105 - 101) / (20 / sqrt(16)) = 1.6

We can then use a standard normal distribution table or calculator to find the probability:

P(95 < X < 105) = P(-1.6 < z < 1.6) = 0.8664 - 0.0548 = 0.8116

Therefore, the probability that X is between 95 and 105 is 0.8116 or about 81.16%.

c) To find the value of X such that the probability of X being less than that value is 0.05, we need to use the inverse standard normal distribution:

z = invNorm(0.05) = -1.645

We can then solve for X:

-1.645 = (X - 101) / (20 / sqrt(16))

X - 101 = -1.645 * (20 / sqrt(16))

X = 101 - 2.06

X = 98.94

Therefore, the value of X such that the probability of X being less than that value is 0.05 is 98.94.

d) To find the value of X such that the probability of X being greater than that value is 0.10, we need to use the inverse standard normal distribution:

z = invNorm(0.10) = -1.28

We can then solve for X:

-1.28 = (X - 101) / (20 / sqrt(16))

X - 101 = -1.28 * (20 / sqrt(16))

X = 101 + 1.61

X = 102.61

Therefore, the value of X such that the probability of X being greater than that value is 0.10 is 102.61.

The magnitude of the resultant displacement is approximately 400.13 paces, and the direction is approximately -79.59 degrees

To find the magnitude and direction of the resultant displacement, we can break down the given instructions into vector components and then sum them up.

Given:

Step 1: Go 490.1 paces at 106 degrees.

Step 2: Turn to 218 degrees and walk 246 paces.

Step 3: Travel 95 paces at 275 degrees.

Step 1:

The first step involves moving 490.1 paces at an angle of 106 degrees. We can break this down into its x and y components using trigonometry.

x1 = 490.1 * cos(106 degrees)

y1 = 490.1 * sin(106 degrees)

Step 2:

In the second step, we turn to 218 degrees and walk 246 paces. Again, we can find the x and y components using trigonometry.

x2 = 246 * cos(218 degrees)

y2 = 246 * sin(218 degrees)

Step 3:

For the third step, we travel 95 paces at 275 degrees. Finding the x and y components:

x3 = 95 * cos(275 degrees)

y3 = 95 * sin(275 degrees)

Now, we can sum up the x and y components to find the resultant displacement.

Resultant x-component = x1 + x2 + x3

Resultant y-component = y1 + y2 + y3

Finally, we can calculate the magnitude and direction of the resultant displacement.

Magnitude: Magnitude = sqrt((Resultant x-component)^2 + (Resultant y-component)^2)

Direction: Direction = atan2(Resultant y-component, Resultant x-component)

Calculating the values using the given equations:

Resultant x-component ≈ 82.41 paces

Resultant y-component ≈ -392.99 paces

Magnitude ≈ sqrt((82.41)^2 + (-392.99)^2) ≈ 400.13 paces

Direction ≈ atan2(-392.99, 82.41) ≈ -79.59 degrees

Therefore, the magnitude of the resultant displacement is approximately 400.13 paces, and the direction is approximately -79.59 degrees (counterclockwise from due East).

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The area of the closed polygon ABCD ≈ 7628.831 square units.

To calculate the area of the closed polygon ABCD with the provided coordinates, we can use the Shoelace formula.

The Shoelace formula calculates the area of a polygon provided the coordinates of its vertices.

Let's label the coordinates as follows:

A (x1, y1) = (91.119E, 181.348N)

B (x2, y2) = (84.889E, 206.225N)

C (x3, y3) = (86.79E, 225.281N)

D (x4, y4) = (53.41E, 186.38N)

The Shoelace formula is provided by:

\(\[\text{Area} = \frac{1}{2} \left| (x_1 \cdot y_2 + x_2 \cdot y_3 + x_3 \cdot y_4 + x_4 \cdot y_1) - (y_1 \cdot x_2 + y_2 \cdot x_3 + y_3 \cdot x_4 + y_4 \cdot x_1) \right|\]\)

Substituting the provided values into the formula:

Area = 1/2 * |(91.119 * 206.225 + 84.889 * 225.281 + 86.79 * 186.38 + 53.41 * 181.348) - (181.348 * 84.889 + 206.225 * 86.79 + 225.281 * 53.41 + 186.38 * 91.119)|

Area ≈ 7628.831

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To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Answer and Step-by-step explanation:

When plotting points on a graph, you need to first find the x value along the horizontal x-axis, and then find the y value along the vertical y-axis.

So, your process for plotting points could be similar to the following:

find x, move up/down from the x value to find the y-value, and plot a point.

The first number in parentheses when plotting a point is the x value, the second number [following a comma] is the y value

(x , y)

The numbers of x are increasing going towards the right [of the y-axis]

The numbers of x are decreasing towards the left [of the y-axis]

The very middle point, where the two axes meet, is called the origin, and its location is (0, 0)

The numbers of y are increasing going up [from the x-axis]

The numbers of y are decreasing going down [from the x-axis]

Each tick in a graph is representing what x or y value that part of the graph is.

(I have attached an image of this graph plotted)

Hope this helps!!

Answer:

0.597

Step-by-step explanation:

plato/edmentum

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

Answer:

A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)

Step-by-step explanation:

We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.

When solving binomials, we need to follow the FOIL method :

First - First number in first parenthesis multiplied by first number in second parenthesis

Outer - First number in first parenthesis multiplied by second number in second parenthesis

Inner - Second number in first parenthesis multiplied by first number in second parenthesis

Last - Second number in first parenthesis multiplied by second number in second parenthesis

If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :

A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)

This follows FOIL entirely from start to finish.

B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

This did not follow the Inner part of FOIL.

C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)

This did not follow the Outer part of FOIL.

Answer:

Step-by-step explanation:

180° ( n - 2 )

n = 6 sides

4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )

4x + 2x - 12 = 720

6x = 732

x = 122

x° = 122 °

( x - 6 )° = 116 °

122° + 116° + 122° + 122° + 116° + 122° = 720°

Answer:

590 > 5 × 10^2

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

5×10^2=5×10×10=500, therefore 590>500

The coordinates of the inflection point for the graph y = -2√x+12 are (12,0). This is option D.

The inflection point of a curve is the point where the curve changes concavity, or the curvature of the curve changes from upward to downward or vice versa. To find the inflection point of a curve, we need to find the second derivative of the function and set it equal to zero. In this case, the function is y = -2√x+12, and its second derivative is y'' = 2/(x√x). Setting y'' equal to zero and solving for x, we get x = 0. Plugging this value of x back into the original equation, we get y = 12. Therefore, the inflection point of the curve is (12,0).

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Answer: 24. A. 8 I hope it's right

Step-by-step explanation:

Answer:

slope - (2x)

y-intercept - (-1)

Step-by-step explanation:

-8x + 4y = - 4

4y = 8x - 4

y = 2x - 1

Answer:

She lost 7.5 %

Step-by-step explanation:

Here is my step by step explanation:

First you want to find out how much percentage 325,600 is compared to the original cost.

In order to do this you simply divide the two numbers by each other.

325000/325600 = 0.925 => 92.5 %

Now since 352000 was the original price that would be 100 %

So all you have to do to find the difference of them is to subtract the two percentages.

100 % - 92.5 % = 7.5 %

Therefore Mel lost 7.5 percentage of money of the original house price

The p-value is 0.146.The statistical conclusion suggests that there is no significant difference in stopping distances between wet and dry pavements.

At a .05 level of significance, the sample data does not justify the conclusion that the variance in stopping distances on wet pavement is greater than the variance in stopping distances on dry pavement.

The p-value is 0.146. 

Here, Null hypothesis: H₀: σ₁² ≤ σ₂².

Alternate hypothesis: H₁: σ₁² > σ₂² 

The test is a right-tailed test. 

Sample size, n = 16.

Degrees of freedom, ν = n1 + n2 - 2 = 30 (approx.).

The test statistic is calculated as: F₀ = (S₁²/S₂²),

where S₁² and S₂² are the sample variances of stopping distances of automobiles on wet and dry pavements, respectively.

Substituting the given values, we have: F₀ = (9.76²/4.88²) = 4.00.

From the F-distribution table, at α = 0.05 and ν₁ = 15, ν₂ = 15, the critical value is 2.602.

The p-value can be calculated as the area to the right of F₀ under the F-distribution curve with 15 and 15 degrees of freedom.

p-value = P(F > F₀),

where F is the F-distribution with ν₁ = 15, and ν₂ = 15 degrees of freedom. Substituting the given values, we get:

p-value = P(F > 4.00) = 0.146. Since p-value (0.146) > α (0.05), we fail to reject the null hypothesis.

Hence, the sample data does not justify the conclusion that the variance in stopping distances on wet pavement is greater than the variance in stopping distances on dry pavement.

The p-value is 0.146.b. The statistical conclusion suggests that there is no significant difference in stopping distances between wet and dry pavements.

Thus, the driving safety recommendations would be that the driver should always maintain a safe distance while driving, whether it is wet or dry.

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The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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The dice are supposed to have six sides, therefore there are still 6 possible results.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization. It may be used, for instance, to deduce details about the anticipated frequency of events. Additionally, the mechanics and regularities that underlie complex systems are described using probability theory.

Given

Even numbers are written on the faces of a six-sided number cube: 2,4,6,8,10 and 12.

Probability is,

P(2)= 1/6

P(4)=1/6

P(6)=1/6

P(8)=1/6

P(10)=1/6

P(12)=1/6

The dice are supposed to have six sides, therefore there are still 6 possible results.

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Answer:

it's b. y= \(y= e^{b}+3\) on edg2020

Transformed functions are functions that are modified by some transformation. In this question the transformation of y=\(e^x\) that is  y = \(e^x\)+ 3.

Therefore, the transformation of the given function y= \(e^x\) that is "y = \(e^x\) + 3".

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Answer:

False

A square is a quadrilateral with four right angles, two sets of parallel lines, and equal sides.

A rectangle is not equilateral, so it is not a square. Squares are rectangles, actually.

So, False

Hope that helps!

Step-by-step explanation:

Answer:

False, but can be true

Step-by-step explanation:

Rule for being a square.

1. All sides have to be congruent in length

2. Must have all 90°

3. has 4 sides and 4 angles (has to be a quadrilateral)

4. 2 pairs of parallel lines

A rectangle is not a square directly. It does not have congruent sides. Although, this means that a square is a specialized case of the rectangle. It will only be a square if all sides are congruent.