The three right triangles below are similar. The acute angles LL, ZR, and ZZ are all approximately measured to be 61.2º. The side lengths for each triangle are as follows. Note that the triangles are

Answer:

The answer is c.

Step-by-step explanation:

\(a_{1} =-1*(-4)x^{n-1}\)

\(a_{1} =-1(-4)^{1-1}\)

\(a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1\)\(a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4\)\(a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16\)

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer: first question: $10,786 second answer: $5478

Step-by-step explanation:

The multiplier, calculated as the reciprocal of the marginal propensity to save or one minus the marginal propensity to consume, is 2 when the marginal propensity to consume is 0.5. This means that a change in autonomous spending will have twice the impact on the overall level of economic activity. The correct answer is c.

The multiplier represents the effect of a change in autonomous spending on the overall level of economic activity.

It is calculated as the reciprocal of the marginal propensity to save (MPS) or, alternatively, as the reciprocal of one minus the marginal propensity to consume (MPC).

In this case, the given information is that the marginal propensity to consume (MPC) is 0.5. Therefore, the marginal propensity to save (MPS) would be 1 - 0.5 = 0.5.

The multiplier is calculated as 1 / MPS or 1 / (1 - MPC). Plugging in the values, we have:

Multiplier = 1 / 0.5 = 2

Therefore, the correct answer is c. 2. The multiplier of 2 means that a change in autonomous spending will have twice the impact on the overall level of economic activity.

For example, if there is an increase in autonomous spending of $100, it will lead to a $200 increase in overall economic output.

Hence, the correct option is c.2.

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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The red arc corresponds to a central angle of 15 degrees.

What is angle ?

In mathematics, an angle is a measure of the amount of turn between two intersecting lines, line segments, or rays. Angles are typically measured in degrees, radians, or gradians, and are used to describe the relative position and orientation of objects in space.

In a two-dimensional plane, an angle is formed by two intersecting lines or line segments that share a common endpoint, called the vertex of the angle. The two lines or segments are called the arms or sides of the angle. The angle is usually denoted by a symbol, such as ∠ABC or ∠PQR, where the vertex is labeled with the middle letter.

The size of an angle is usually measured in degrees, with a full rotation of 360 degrees corresponding to a complete turn. In radians, a full rotation corresponds to 2π radians, and in gradians, a full rotation corresponds to 400 gradians.

According to the question:
We know that the sum of the angle measures in a circle is 360 degrees. Therefore, we can set up an equation using the given angle measures:

RS + ST + TQ + QR = 360

Substituting the given angle measures:

4x + 6x + 7x + 7x = 360

Simplifying and solving for x:

24x = 360

x = 15

Now we can find the measure of the red arc by finding the central angle that corresponds to it. The red arc corresponds to the arc between points R and T, which subtends an angle of STQ.

Using the angle measures we found:

STQ = TQ - ST = 7x - 6x = x

Substituting x = 15:

STQ = 15

Therefore, the red arc corresponds to a central angle of 15 degrees.


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Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Answer:

A. B = 5

Step-by-step explanation:

Joe:

J(b) = 14b + 7

Will:

W(b) = 7b + 42

Where,

b = number of hamburgers cooked

J(b) and W(b) = amount of time each cook takes in minutes respectively

At what value of b will their cooking time be equivalent?

Equate both functions

Joe = Will

14b + 7 = 7b + 42

Collect like terms

14b - 7b = 42 - 7

7b = 35

Divide both sides by 7

b = 35 / 7

= 5

b = 5

The answer is

A. B = 5

-1/7, since parallel lines have equal slopes.

Answer:

  −3x^8 + 9x^2 + 10x

Step-by-step explanation:

A polynomial is in standard form when the exponents of the variable decrease left to right. The only given expression in that form is ...

  −3x^8 + 9x^2 + 10x

The answer to the question is that the numbers 6 and 8 are positive even sequential integers.

Consecutive numbers are those that follow one another continually, from lowest to largest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

The answer provided below has been developed in a clear step by step manner. Let the the two positive even consecutive integers be 2n and (2n+2) According to the question the one less than the square of the smaller integer is given as

\(2n^2-1\)

\(4n^2-1\)

Here the positive consecutive integers are 2n and 2n+2 because for any value of n if it is multiplied by 2 then it becomes positive and further on adding 2 it remains even.

Now the three more than the four times the the larger number is given as

4(2n+2)+3

8n+8+3

8n+11

\(4n^2-1\) = 4(2n+2)+3

\(4n^2-1\) = 8n+8+3

\(4n^2-1\) = 8n+11 +1

\(4n^2-8n-12\) = 0

\(n^2-2n-3\) = 0

Now solving the given quadratic equation to get the positive value of n

Please refer to solution in this step.

Therefore the value of n is given as

n = +2 ± \(\sqrt{4-((4 )(1)-(3))}\)/2

2 ±\(\sqrt{16/2}\)

1 ±2

the positive smaller integer is

2n= 2(1+2)

2n=6

and the positive greater integer is

2n+2 = 8

Hence the positive even consecutive integers are 6 and 8 .

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Answer:

B. The number of orders per day for warehouse N is greater on average than the number of orders per day for warehouse M. The standard deviation for the number of orders per day in warehouse N is about the same as in warehouse M.

Step-by-step explanation:

Wearhouse M has an average of 1,417.31 orders shipped per day, and Warehouse N has an average of 1,505.39 packages shipped per day. meaning that Wearhouse N has a greater mean (or average) compared to Wearhouse M.

Wearhouse M has a standard deviation (The safety net of how much the average can change) of 67.54 and Wearhouse N has a standard deviation of 67.70 which means that these are practically the same number.

Answer:

Step-by-step explanation:

width = x

length = x + 4

Area = l * w = 60

Area = x * (x + 4) = 60

x^2 + 4x - 60 = 0

(x - 6)(x + 10) = 0

x - 6 = 0 is the only valid answer. Nothing can be minus in this question.

x - 6 = 0

x = 6

So the width is 6

The length = 6 + 4 = 10

Answer: x = 6

Step-by-step explanation: 1/6x + 2/3 x = 5 first just add the like terms 5/6 x = 5 then 5*6 /5 = x hope it helps ;)

Answer:

Step-by-step explanation:

The statement "Relationships between two categorical variables are less evident when the data is expressed in counts rather than percentages" is false. Categorical variables are those that divide a population into groups. These groups can be classified into one of two categories: nominal or ordinal. The nominal category does not have an intrinsic order, whereas the ordinal category does.

Categorical data is a data type that is collected from observations that are grouped into categories with numerical figures. These variables are frequently defined in nominal terms. The data is expressed in percentages or proportions in a categorical data table instead of counts. When analyzing categorical data, it is best to use percentages, as these provide a better picture of the underlying relationship.

Therefore, relationships between two categorical variables are more evident when data is expressed in percentages rather than counts. When percentages are utilized, it is more straightforward to understand the relationship between two categorical variables. An example of categorical data is the top 150 movies of all time.

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Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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Unconscious processing is a complex cognitive phenomenon that involves a wide range of mental activities that occur outside of our conscious awareness. It is not simply a group of answer choices or a set of predetermined responses that are guided by habit or well-established routines.

Rather, unconscious processing is a highly nuanced and multifaceted process that is guided by a variety of different factors, including our emotions, our past experiences, our cultural background, and our personal beliefs and values.

At the same time, it is important to note that unconscious processing is not entirely independent of our executive functions or our conscious awareness. While it may be composed of relatively specialized parts, such as our automatic reflexes and basic sensory processing systems, these parts are still intricately connected to the higher-level cognitive processes that govern our decision-making, problem-solving, and goal-oriented behavior.

In short, unconscious processing is a complex and dynamic process that involves a broad range of cognitive and emotional factors, and is intimately intertwined with our conscious awareness and executive functions.

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Yes, this confidence interval provides evidence that the average battery life of this ipad is not 10 hours, since the interval does not contain 10 hours.

Yes, this confidence interval provides evidence that the average battery life of this ipad is not 10 hours. The 99% confidence interval for the mean battery life of this ipad is (8.45, 10.05) hours. This means that 99% of the time, the true mean battery life of the ipad will be between 8.45 and 10.05 hours. Since the interval does not contain 10 hours, it is evidence that this ipad does not have an average battery life of 10 hours. This is because the interval suggests that there is only a 1% chance that the true mean battery life is 10 hours, which is not enough evidence to support the claim that the latest ipad has an average battery life of 10 hours.

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Answer:

Puppy weight= 6 pounds

Step-by-step explanation:

Giving the following information:

Adult weight= 60 pounds

Puppy weight rate= 10%

To calculate the weight in pounds of a puppy, we need to use the following formula:

Puppy weight= adult weight*puppy weight rate

Puppy weight= 60*0.1

Puppy weight= 6 pounds

Answer:

V = 58.7 m^3

Step-by-step explanation:

The formula is V = 1/3 *b*h

where b is the base area

h is the height

From the diagram,

h= 11m

Now we need to find the area of the base.

The base is made of an equilateral triangle, so we know that one of the sides is 8m.

The area of the base is found: 1/2 * a * l

Where a = 8m

l = a/2 = 8m/2 = 4m

So the area of the base is:

b = 1/2 * 8 m* 4m

b = 16m^2

Now plug this into the volume formula:

V = 1/3 b * h

V = 1/3 * 16m^2 * 11m

V = 58.7 m^3

The value of Δχ for r1 = 2.09 × 10⁻⁰ cm³/g and for r2 = 3.59 × 10⁻⁰ cm³/g.

We are given the radii of the two circles, i.e.,

r1 = 10.00 cm and

r2 = 17.00 cm.

Also, the circumference of each circle is divided into 30 equal parts.

We need to calculate the value of Δχ for each of these radii.

The formula for Δχ is given by;

Δχ = (2πr) / n

Where, Δχ = the change in magnetic susceptibility

r = radius

n = number of turns of wire

We can determine the value of Δχ for each of these radii by using the above formula as follows;

For r1 = 10.00 cm

Δχ = (2πr) / n

= (2π * 10.00) / 30

= 2.09 × 10⁻⁰ cm³/g

For r2 = 17.00 cm

Δχ = (2πr) / n = (2π * 17.00) / 30

= 3.59 × 10⁻⁰ cm³/g

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Answer:

-2

Step-by-step explanation:

if lines are parallel then they always have the same slope!

Answer:

The students who ride the bus most likely won't use the bike racks so it doesn't impact them and they probably don't know if they need more bike racks.

Step-by-step explanation:

The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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Answer:

What kind of problem?

Step-by-step explanation:

Answer:

D. 11.5(x+15)=38

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

m=-6/4

m=-3/2

-1.5

Answer:

-3/2

Step-by-step explanation:

[4-(-2)] / [1-5] = 6 / -4 = -3/2

Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.