14u+ 6+ 20u = 13u + 6
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
+ 6 = 13u + 6 Combine like terms
+ 6 = 6
Learn with an example
21u =
U=
Subtract 13u from both sides
Subtract 6 from both sides
or
Divide both sides by 21

Answer:

2800 - 4000

Step-by-step explanation:

40 × 70 = 2800

50 × 80 = 4000

We can determine if a function is linear or quadratic by, if the function is exponential if the variable is in the exponent. It is a quadratic equation if the variable is not in the exponent. The function is a linear function if it lacks an exponent.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given,

We can determine if a function is linear or quadratic by,

For data presented as ordered pairs, you can calculate the model's degree by identifying differences between dependent values. The model will be linear if the initial difference has the same value. The model will be quadratic if the second difference has the same value as the first.

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Tan(A) = sin(A) / cos(A) = (-√11/6) / (-5/6) = √11/5

We know that sec(A) = 4/3 in quadrant IV, so we can use the Pythagorean identity to find the value of cos(A):

sec^2(A) - 1 = tan^2(A)

cos^2(A)/sin^2(A) - 1 = sin^2(A)/cos^2(A)

cos^2(A) - sin^2(A) = 4^2

cos^2(A) - (1 - cos^2(A)) = 16/9

2cos^2(A) - 1 = 16/9

cos^2(A) = 25/36

cos(A) = -5/6

Since A is in quadrant IV, sin(A) = -√(1-cos^2(A)) = -√(1-(25/36)) = -√(11/36) = -√11/6.

Therefore, we have:

cot(A) = cos(A) / sin(A) = (-5/6) / (-√11/6) = 5/√11 * √6

To find tan(A), we can use the identity tan(A) = sin(A) / cos(A):

tan(A) = sin(A) / cos(A) = (-√11/6) / (-5/6) = √11/5

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The estimate of the maximum error in the calculated surface area is approximately \(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152).\)

To estimate the maximum error in the calculated surface area, we can use the concept of differentials and propagate the errors from the measurements of weight and height to the surface area.

Let's denote the weight as w_0 and the height as h_0, which represent the true values of weight and height, respectively. The measured weight is w_0 + Δw, and the measured height is h_0 + Δh, where Δw and Δh represent the errors in the measurements of weight and height, respectively.

Using differentials, we can approximate the change in the surface area ΔS as:

ΔS ≈ (∂S/∂w)Δw + (∂S/∂h)Δh

We need to calculate the partial derivatives (∂S/∂w) and (∂S/∂h) of the surface area function with respect to weight and height, respectively.

∂S/∂w = \(0.521 * 0.288w^(-0.479)h^0.848\)

∂S/∂h = \(0.848 * 0.288w^0.521h^(-0.152)\)

Substituting the true values w_0 and h_0 into the partial derivatives, we get:

∂S/∂w =\(0.521 * 0.288w_0^(-0.479)h_0^0.848\)

∂S/∂h = \(0.848 * 0.288w_0^0.521h_0^(-0.152)\)

Now, we can calculate the maximum error in the calculated surface area using the formula:

Maximum error in S = |(∂S/∂w)Δw| + |(∂S/∂h)Δh|

Given that the errors in measurements of weight and height are at most 1.5%, we have Δw/w_0 ≤ 0.015 and Δh/h_0 ≤ 0.015.

Substituting the values into the formula, we get:

Maximum error in S = |(∂S/∂w)Δw| + |(∂S/∂h)Δh|

\(|(0.521 * 0.288w_0^(-0.479)h_0^0.848)(0.015w_0)| + |(0.848 * 0.288w_0^0.521h_0^(-0.152))(0.015h_0)|\)

Simplifying the expression, we have:

Maximum error in S ≈ \(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152)\)

Therefore, the estimate of the maximum error in the calculated surface area is approximately\(0.007824w_0^(-0.479)h_0^0.848 + 0.006558w_0^0.521h_0^(-0.152).\)

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S + R represents the total trips done by these trucks.

Volume is defined as the amount of space occupied by an object that is bound by a boundary. It must be noted that the volume is a mathematical term that is only applicable to 3D (three-dimensional) objects or spaces. As such, the units commonly used for volume are cubic units, that is, m3, cm3, in3, etc.

Two dump trucks hauling rock to a construction site is given by the expression. xS + yR

S +R

Truck 1 can haul x cubic yards

Truck 2 can haul y cubic yards.

Truck 1 makes P trips to the construction site, while truck 2 makes R trips.

Hence the trips made by truck 1 and truck 2 should be the addition of the trips made by the trucks individually.

So the total trips is represented by S + R

Therefore, S + R represents the total trips done by these trucks.

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.

To convert a length in inches to yards, feet, and inches

Note the followings:

There are 12 inches in a foot and 3 feet in a yard.

Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.

Given that, the input is 50 inches, the output  will be

Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)

Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)

Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)

Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.

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n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.

Answer:

Triangle A - Scalene

Triangle B - Isosceles

Triangle C - Isosceles

Triangle D - Equilateral

Step-by-step explanation:

Scalene - No equal sides or angles

Isosceles - 2 equal sides or 2 equal angles

Equilateral - all equal sides or all equal angles

Answer:

x=10

Step-by-step explanation:

6x-10=50

6x=60

x=10

The time it takes to paint the whole bookcase is 50 minutes.

From the information, Wilson paints 40% of a bookcase in 20 minutes.

Let the time taken to paint the whole bookcase be x. This will be illustrated as:

20/x = 40/100

Cross multiply

40x = 100 × 20

40x = 2000.

Divide

x = 2000 / 40

x = 50

The time taken is 50 minutes.

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The likelihood of each utility function representing actual investor preferences varies based on different factors such as risk aversion, wealth accumulation, and personal preferences.

Utility function (a) U(W) = \(W^2\) represents a preference for increasing wealth at an increasing rate, indicating risk aversion and a desire for wealth accumulation. This is a commonly observed preference among investors.

Utility function (b) U(W) = 1/W represents a preference for wealth preservation and risk aversion. It implies that the marginal utility of wealth decreases as wealth increases, which aligns with the concept of diminishing marginal utility.

Utility function (c) U(W) = -W represents a preference for taking on risk and potentially incurring losses. This utility function implies a risk-seeking behavior, which is less common among investors who typically aim to maximize their wealth.

Utility function (d) U(W) = W represents a preference for increasing wealth linearly. This utility function suggests a risk-neutral attitude where investors are indifferent to risk and aim to maximize their wealth without considering risk factors.

Utility function (e) U(W) = ln(W) represents a preference for wealth accumulation, but with a decreasing marginal utility. This logarithmic utility function reflects risk aversion and diminishing sensitivity to changes in wealth.

Utility function (f) U(W) = \(W^(1-γ)\)/(1-γ), with γ = 2, represents risk-neutral behavior. However, the likelihood of this utility function representing actual investor preferences depends on the specific value of γ chosen. If γ is different from 2, it may represent risk aversion or risk-seeking behavior.

Overall, utility functions (a), (b), (d), and (e) are more likely to align with actual investor preferences due to their consistency with risk aversion and wealth accumulation. Utility function (c) represents a less common risk-seeking behavior, and utility function (f) depends on the chosen value of γ, making it less likely to represent typical investor preferences.

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Answer:

to find x you will substract 81.9 and 32

81.9-32

the answer will be 49.9

The scale factor for the two similar triangles is 1/2 and option 3 is the correct answer.

As its name implies, any distance formula provides the distance (the length of the line segment). The length of the line segment that connects two places, for instance, is the distance between them. We obtain the formula for the separation of two points in a two-dimensional plane using the Pythagoras theorem, which can also be used to estimate the distance between two points on a three-dimensional plane. In coordinate geometry, there are several distinct varieties of distance formulae.

The distance between two points is given by the formula:

d = √(x2 - x1)² + (y2 - y1)²

The distance between AB is:

AB = √(-4 + 4)² + (0 - 3)²

AB = 3

The distance between DE is:

DE = √(1 - 1)² + (- 5 - 1)²

DE = 6

The scale factor is given as:

SF = length of the segment of the original figure/ length of the segment of new figure.

SF = AB/DE

SF = 3/6

SF = 1/2

Hence, the scale factor for the two similar triangles is 1/2 and option 3 is the correct answer.

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Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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Answer:

 128 cm^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A= 8*16

  128 cm^2

Answer:  0

Step-by-step explanation:

Add −66 and 66.   0

Answer:Check Below

Step-by-step explanation:

To find the percentage of miles jogged on the treadmill, you need to divide the number of miles jogged on the treadmill by the total number of miles jogged and then multiply by 100.Miles jogged on treadmill = 12Total miles jogged = 60Percentage of miles jogged on the treadmill = (12/60) x 100% = 20%Therefore, Samantha jogged 20% of her total distance on a treadmill.

a) there are approximately 467.32 cancer cases per 100,000 people in Australia. b) there are approximately 352.63 cancer cases per 100,000 people in the USA. c) Australia has a higher number of cancer cases per capita than the USA.

To calculate the number of cancer cases per 100,000 people in Australia, we can use the following formula:

Number of cancer cases per 100,000 people = (Number of cancer cases / Population) * 100,000

a. Number of cancer cases in Australia per 100,000 people:

Number of cancer cases = 115,128

Population of Australia = 24.6 million = 24,600,000

Number of cancer cases per 100,000 people = (115,128 / 24,600,000) * 100,000

Calculating this expression:

Number of cancer cases per 100,000 people = 467.32

b. Number of cancer cases in the USA per 100,000 people:

Number of cancer cases = 1,147,115

Population of the USA = 325.7 million = 325,700,000

Number of cancer cases per 100,000 people = (1,147,115 / 325,700,000) * 100,000

Calculating this expression:

Number of cancer cases per 100,000 people = 352.63

c. Comparing the number of cancer cases per capita, we can see that Australia has a higher number of cancer cases per 100,000 people (467.32) compared to the USA (352.63).

In conclusion, based on the given data, Australia has more cancer cases per capita than the USA.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

36,000

Step-by-step explanation:

Area formula- A=LW (length x width)

450 (length) x 80 (width)

450

 80

-------

36,000

(45 x 8 and add two zeros :))

On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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The type of sampling technique used by panorex is clustering

From the question, we have the following parameters that can be used in our computation:

Panorex, inc., numbers each city block, then randomly selected ten city blocks from the total.

The above statement means that the sampling technique used is the clustering selection technique

In this case, the ten city block represent the clusters of the whole population and all the city blocks represent the population

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Answer: 33,39

Step-by-step explanation:

Counting by 6's

Answer:

vnfcjvfn dcjxfhhnvn vn

Step-by-step explanation:

Answer:

the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

Answer:

B)

Step-by-step explanation:

The slope of the line parallel to x-axis is zero.

(3,-6) and (7,-6) have same y-coordinates. So, this line will be parallel to x-axis and slope will be zero

Answer:

B. (3,-6) and (7, -6)

Step-by-step explanation:

The line that passes through these points is parallel to the "x" axis so it has no slope (m=0)

Hope this helps

Answer:

12 weeks

Step-by-step explanation:

Make an inequality equation with x being the number of weeks:

200 > 500 - 25x

*subtract 500 from both sides*

-300 > -25x

*divide both sides by -25*

12 > x