In the rhombus m<1=160° . What are m<2 and m<3?

The economy's asset prices will rise as both agents compete to increase their wealth. Because both agents have identical preferences and are exposed to the same set of risks, they will take the same investment decisions.

In an economy with two agents, both agents have utility of income function v(w) = In(w) and are interested only in consumption at a specific date, not in their expected utilities.

Current consumption is excluded from the agents' expected utilities, making their preference dependent on wealth accumulation. As a result, both agents seek to maximize their wealth and, as a result, compete to own assets, which drives asset prices up.

The economy's asset prices will rise as both agents compete to increase their wealth. Because both agents have identical preferences and are exposed to the same set of risks, they will take the same investment decisions.

This may lead to a market failure if one of the agents has more wealth than the other, as the wealthy agent may have a significant effect on the market and reduce the prices for everyone else.

To know more about asset prices visit:

brainly.com/question/30029022

#SPJ11

Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.

Answer:

B

Step-by-step explanation: the common difference is 2.7

Answer:Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Answer:

its 126 and 54 hope this helps

Answer:

Domain = (-∞,∞) { x|x∈R}

Range = { -4 , ∞} , { y|y≥-4}

Step-by-step explanation:

The probability that it is raining and the flight is delayed is equal to the probability of it raining multiplied by the probability of the flight being delayed.

Therefore, the probability that it is raining and the flight is delayed is 0.07 * 0.16 = 0.0112. Rounded to the nearest thousandth, this is 0.011.

In algebra, a number exists even equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

2. AD = BC due to the congruence of a rectangle's opposite sides.

3. Due to the reflexive property of congruence, DC=DC, each segment is identical to itself.

4. ADC and BCD are right angles since any rectangle's internal angles are right angles (Definition of rectangle).

5. Since they form right angles and all right angles are congruent, ADC=BCD.

6. ADC and BCD are congruent because they have two congruent sides (AD with BC and DC with DC) and a congruent angle between them: Side Angle Postulate Side Congruence Postulate (SAS Congruence Postulate).

7. AC must match BD because Congruent Parts in Congruent Triangles must match (CPCTC).

Statement                                    Reason

1. Rectangle ABCD                         Given

2. AD=BC                                        Opposite sides of a rectangle are congruent

3. DC=DC                                        Reflexive Property of Congruence

4. <ADC and <BCD are                  Definition of rectangle

  right angles

5.  <ADC=<BCD                              All right angles are congruent

6. ∆ADC=∆BCD                              SAS Congruence Postulate

7. AC=BD                                        CPCTC  

To learn more about Reflexive Property refer to:

https://brainly.com/question/8741371

#SPJ1

The term "Objective Function" refers to a mathematical model in linear programming which maximizes as well as minimizes some quantity.

Thus, in either a mathematical optimization problem, the objective function is the real-valued function for whom value must be minimized or maximized well over set of feasible alternatives.

To know more about the Objective Function, here

https://brainly.com/question/25828237

#SPJ4

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

For more such information on: significant figures

https://brainly.com/question/30169

#SPJ8

hello. your answer is -3. I just took the assignment. hope it helps.

8 children are divided into 2 teams each containing 4 children to play a game against each other. 105 different divisions are possible.

Permutation:

In mathematics, permutation refers to the process of placing all members of a set into an order or sequence. In other words, if the set is already ordered, the permutation of its elements is called permutation. Substitutions occur in more or less noticeable ways in almost all areas of mathematics. They often occur when different orders are considered in a particular finite set.

Combination:

Combining is a way of selecting items from a collection, and (unlike permutation) the order of selection does not matter. In smaller cases you can count the number of combinations. Combining refers to combining n things, taken k times at once, without repetition.

According to the Question:

The first team can be chosen in ⁸C₂ = 28 ways.

After that, there are 6 people left, from which there are ⁶C₂ = 15 ways to choose the second team.

Then, there are 4 people left, out of which ⁴C₂ = 6 ways he can choose the third team. There is only one way to choose the fourth and final team from the remaining two.

In the above procedure, each occasion of splitting eight into her two his four teams counted as 4!= 24 times.

Thus,

The number of ways to divide a group of 8 people into 4 teams of 2 people = 28 × 15 × 6 / 24

            = 105

Learn more about Divide:

https://brainly.com/question/15381501

#SPJ4

Let's draw a picture of our triangle:

We know that the larger acute angle is always in front of the large leg (denoted by x). So, we can relate the unknown angle with the shorter leg and the hypotenuse by means of the cosine function, that is,

which gives

Then, we have

Now, by applying the respective inverse function, we have

which gives

Therefore, by rounding the nearest tenth, the answer is 50.8 degrees

Answer:

The third one

Step-by-step explanation:

Answer:

5. C

6. Volume is multiplied by 4

Step-by-step explanation:

Answer:

45, 47, and 49.

Step-by-step explanation:

The sum of the three consecutive odd integers is 141. So, n + (n + 2) + (n + 4) = 141. The integers are 45, 47, and 49.

Answer:

20, the answer is 20 members

Answer:

3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.

Step-by-step explanation:

Based on the accounts and the benefits they offer, Kate should choose B. College Savings, because she meets the minimum deposit and it earns more interest

Kate should pick the college savings account for two reasons with the first being that the $5,000 she wants to deposit meets the minimum deposit amount of $1,000.

The second reason is that the account earns more interest than other account.

Even though it is simple interest, the 9% is still much higher than the compound interest of 1% that the regular account gives.

Kate should choose college savings.

Find out more on simple interest at https://brainly.com/question/20690803

#SPJ1

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

Learn more about wavelength:

brainly.com/question/31143857

#SPJ4

The unit of measurement used to describe how far a set of values are from the mean is the standard deviation. Therefore, the correct answer is (b) standard deviation.

The variance is another measure of spread, but it is not in the form of the original units of measurement. The median is a measure of central tendency and not a measure of spread. The mode is the most frequently occurring value in a set and is also not a measure of spread.
The unit of measurement used to describe how far a set of values are from the mean is the Standard Deviation (b). It is calculated by taking the square root of the variance and provides a measure of the average distance between each value in the set and the mean. The Median (c), on the other hand, is the middle value in a set when the values are arranged in numerical order.

Learn more about Standard Deviation:

brainly.com/question/23907081

#SPJ11

The definite integral that represents the volume of the pyramid is: ∫[0, 4] (16 - 8x + x²) dx = 64/3 cm³

To find the volume of a regular square pyramid, we can use the formula:

Volume = (1/3) * base area * height

The base of the pyramid is a square with sides of length 4 cm, so the base area is 4 cm * 4 cm = 16 cm².

The height of the pyramid is given as 4 cm.

Now we can substitute these values into the formula:

Volume = (1/3) * 16 cm² * 4 cm

Simplifying the expression:

Volume = (1/3) * 64 cm³

To represent this as a definite integral, we can write:

Volume = ∫[a, b] f(x) dx

where the function f(x) represents the area of the cross-section of the pyramid at height x and [a, b] represents the interval of heights from the base to the top of the pyramid.

Since the pyramid is a regular square pyramid, the cross-sections at different heights are also squares with side lengths proportional to the height.

Let's choose a coordinate system where the base of the pyramid lies in the xy-plane, with the center of the base at the origin (0, 0).

At any height x between 0 and 4, the side length of the square cross-section is given by:

s(x) = (4 - (4/4) * x) = 4 - x

The area of the square cross-section is:

A(x) = (4 - x)² = 16 - 8x + x²

To find the volume of the pyramid, we integrate A(x) over the interval [0, 4]:

Volume = ∫[0, 4] (16 - 8x + x²) dx

Integrating, we get:

Volume = [16x - 4x² + (1/3)x³] evaluated from 0 to 4

Volume = (64 - 64 + (64/3)) - (0 - 0 + 0)

Volume = 64/3

Therefore, the definite integral that represents the volume of the pyramid is: ∫[0, 4] (16 - 8x + x²) dx = 64/3 cm³

Visit here to learn more about definite integral brainly.com/question/30760284

#SPJ11

The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

To know more about volume visit:

https://brainly.com/question/27710307

#SPJ11

The common factor that is missing from both sets of parentheses is:

\(6x^2+11,\\\)

A polynomial that divides evenly and completely into another polynomial is said to be a factor. Finding all of a polynomial's factors, which are multiplied to create the original polynomial, is known as factoring. A component that appears in every term of the polynomial is known as a common factor.

We are given a polynomial of degree 3 as:

\(24x^3-54x^2+44x-99,\)

Now we have to factor the given polynomial using grouping.

We proceed in the following steps:

\(24x^3-54x^2+44x-99\\\\24x^3+44x-54x^2-99\\\\4x(6x^2+11)-9(6x^2+11)\)

( Since we take out the common terms in each of the following groups and obtain a common factor in both the groupings)

Hence, the common factor that is missing is:

\(6x^2+11\),

learn more about common factors,

https://brainly.com/question/29584814

#SPJ4

Answer:c

Step-by-step explanation:just did the test

A. The data does not support the claim that brand A cigarettes contain less than 3 milligrams of tar at the 5% significance level. The p-value is less than 0.05, indicating that the observed mean amount of tar is unlikely to have occurred by chance alone.

B. To determine whether the data supports the claim made by the makers of brand A cigarettes, the marketing-research analyst used a one-sample t-test.

The null hypothesis is that the mean amount of tar in brand A cigarettes is 3 milligrams or less. The alternative hypothesis is that the mean amount of tar in brand A cigarettes is greater than 3 milligrams.

The analyst randomly selected 60 cigarettes and found the mean amount of tar to be 2.75 milligrams with a standard deviation of 1.5 milligrams. Using a t-distribution with 59 degrees of freedom (60 - 1), the t-statistic is calculated as follows:

t = (2.75 - 3) / (1.5 / sqrt(60)) = -1.41

The p-value is the probability of observing a t-statistic as extreme as -1.41 or more extreme, given the null hypothesis. Using a t-distribution table or software, the p-value is found to be 0.084.

Since the p-value (0.084) is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, the data does not support the claim that brand A cigarettes contain less than 3 milligrams of tar at the 5% significance level.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

Answer:

A

Step-by-step explanation:

area=πr²=π×2²=4π≈4×3.14≈12.56 km²

Answer:

12.56

Step-by-step explanation:

area of circle = pi r^ 2

pi= 22/7

r= 2km

22/7×2×2

22/7×4

22/28

12.56 is ans