What is 42.6×3?
If anyone can answer early I would love that!

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

\(x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68\)

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

175 ft

Step-by-step explanation:

From the question,

(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.

I.e, ΔABC is equiangular to ΔEDC. (AAA).

(b) From the diagram.

for similar angle, ratio of corresponding sides are equal

100/d = 4x/7x

100/d = 4/7

where d = distance across the river

solve for d

d = (100×7)/4

d = 175 ft

The height of Lincoln's face is   49.44 feet

First, we need to note the trigonometric ratios and corresponding identities, we have;

tan θ = opposite/adjacent

cos θ = adjacent/hypotenuse

sin θ = opposite/hypotenuse

From the information shown, we have that;

cos 32 = 800/x

cross multiply

x = 800/0.8480

divide the values

x = 943. 4 feet

Using the tangent identity, we have;

tan 3 = h/943.4

cross multiply, we have;

h = tan 3 × 943.4

h = 0. 0524 × 943.4

multiply the values

h = 49.44 feet

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Answer:

distance

Step-by-step explanation:

lets say -7 what is -7 distance from 0

so the absolute value of -7 is 7

Answer:

Step-by-step explanation:

Absolute value represents the distance between 2 points on a number line or coordinate plane.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

2. 50.27in^2 area, 25.13in circumference

3. 1590.43m^2 area, 141.37m circumference

Step-by-step explanation:

2)

Area: 3.14159*4^2 = 50.27in^2

Circumference: 2(4)*3.14159 = 25.13in

3)

Area: 3.14159*(45/2)^2=1590.43m^2

Circumference: 45*3.141592=141.37m

Answer:

One solution which is x = 2

Step-by-step explanation:

Equations like these most often won't have more than one solution unless they are the exact same equation.

If the equation was x + 1 = x + 1, it would have infinitely many solutions because both sides are the same.

Equations with absolute value and quadratic equations most often have 2 solutions have there is a negative answer and a positive answer.

If billion dollars in taxes were collected in 2005, then 30 billion was collected in 2017.

In 2005 the population was 2 million and it had increased to 3 million by 2017.

If 20 billion dollars in taxes were collected in 2005 then we have to determine how much tax was collected in 2017.

The amount of taxes of the city is proportion to the population of that city.

Tax(T) = kP(Population)

where k is a constant.

In 2005 Population = 2 millions and T = 20 billion. So

20 = 2k

Divide by 2 on both side, we get

k = 10

In 2017 Population = 3 millions and k = 10. So the tax collection in 2017 is:

t = 10 × 3

t = 30 billion

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The complete question is:

The amount of taxes a city collects is proportional to the population of the city. In 2005 the population was 2 million and it had increased to 3 million by 2017. If 20 billion dollars in taxes were collected in 2005 how much was collected in 2017? billion dollars help?

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

See below ~

Step-by-step explanation:

Question 1

5/6 _ 10/12

Question 2

12/100 _ 10/12

it's it's been a while since I've done this but

every input must have one output

5, 7 and 2

2, 6 and 5

9, 9

4, 15

i believe it would be the middle one and I do not think it is a function.

The travel website can effectively provide information comparing hotel costs versus the quality ranking of hotels in New York City, helping users make informed decisions about their accommodations.

To summarize the data comparing hotel costs versus the quality ranking of hotels in New York City for a travel website, one effective method would be to create a comparison chart or graph.

Step 1: Gather the data on hotel costs and quality rankings for various hotels in New York City. Ensure that the source of the quality rankings is reliable and consistent.

Step 2: Organize the data in a table or spreadsheet, with columns for hotel name, cost, and quality ranking.

Step 3: Create a scatter plot or bar chart to visually represent the data. On the x-axis, display the quality ranking, and on the y-axis, display the hotel cost. Each data point represents a specific hotel.

Step 4: Analyze the chart to identify trends, such as the relationship between cost and quality ranking. This will provide valuable information for the travel website's users.

By following these steps, the travel website can effectively provide information comparing hotel costs versus the quality ranking of hotels in New York City, helping users make informed decisions about their accommodations.

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The equation of the curve C for the given range of t values [0, 1] is C = {(-2, 2, 2), (-e^2, 3e^2, 2e)}

To find the equation of the curve C for the given values of t, we can follow these steps:

Step 1: Substitute the given values of t into the expression for C.

When t = 0:
C = ((0 - 2) e^(2(0)), (0 + 2) e^(2(0)), 2e^0)
C = (-2, 2, 2)

When t = 1:
C = ((1 - 2) e^(2(1)), (1 + 2) e^(2(1)), 2e^1)
C = (-e^2, 3e^2, 2e)

Step 2: Write the equation of the curve C using the obtained coordinates.

The equation of the curve C for t = [0, 1] is:
C = {(-2, 2, 2), (-e^2, 3e^2, 2e)}

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Answer:

13 months

Step-by-step explanation:

1105 divided by 85 is 13

The simple random sample of size 2 selected using these random digits is "DE" (D and E). The correct answer is(E) None of the above.

To determine the simple random sample of size 2 using the given random digits, we can match each digit with the corresponding element in the population.

The random digits provided are 8 0 5 7 5 3 2. Using the mapping provided (1 to A, 2 to B, etc.), we can identify the corresponding elements for each digit:

8 corresponds to D

0 corresponds to A

5 corresponds to E

7 corresponds to C

5 corresponds to E

3 corresponds to C

2 corresponds to B

Therefore, the simple random sample of size 2 selected using these random digits is "DE" (D and E).

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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The total cost of the jerseys, denoted by "c(n)", can be represented by the function:

c(n) = 12.99n

In this function, "n" represents the number of jerseys purchased. The cost per jersey is $12.99. By multiplying the cost per jersey by the number of jerseys purchased, you can calculate the total cost.

For example, if the track team plans to buy 30 jerseys:

c(30) = 12.99 * 30 = $389.70

Therefore, the total cost of purchasing 30 jerseys would be $389.70.

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If the skill builder has a total of 40 questions, and the maximum percent grade is 100%, we can use a rule of three to determine the relation between the percent grade y and the number of correct answers x:

So the equation is y = 2.5x + 0.

(Each correct answer is worth 2.5% of the grade)

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

The answer is discussed briefly.

Given that a research group surveyed 1002 Americans by telephone and asked them to rate the threat​ Iran's nuclear program poses to the world on a scale of 1 to 10, the description of the population, sample, population​ parameters, and sample statistics can be given as follows:

Population:

The whole group that the researcher is interested in is called the population. In this case, the population is all Americans who have a view on how Iran's growing nuclear program poses a threat to the world.

Sample: A subset of the population is called a sample. In this case, the sample is the 1002 Americans who participated in the survey.

Population parameters:

These are the characteristics of a population. In this case, the population parameter is the average rating of how the respondents view Iran's nuclear program's threat to the world.

Sample statistics:

These are the characteristics of the sample. In this case, the sample statistic is the average rating given by the 1002 Americans who participated in the survey.

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If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?

Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

Finding the fixed points, classifying them, sketching the neighboring trajectories, and filling in the rest of the phase portrait can help us understand the behavior of a dynamical system and make predictions.

To find the fixed points of a system, we need to solve for the values of the variables that make the derivatives equal to zero. Once we have found the fixed points, we can classify them by analyzing the sign of the derivatives near each point. If the derivatives are positive on one side and negative on the other, then the fixed point is unstable, meaning nearby trajectories will move away from it. If the derivatives are negative on both sides, then the fixed point is stable, meaning nearby trajectories will move towards it. If the derivatives are zero on one side and positive or negative on the other, then the fixed point is semi-stable or semi-unstable, respectively.

Once we have classified the fixed points, we can sketch the neighboring trajectories by analyzing the sign of the derivatives along those trajectories. If the derivatives are positive, then the trajectory will move in the positive direction, and if they are negative, then it will move in the negative direction. By sketching the neighboring trajectories, we can get a sense of how the system behaves in different regions of the phase space.

Finally, we can try to fill in the rest of the phase portrait by looking for other features such as limit cycles, separatrices, or regions of phase space where trajectories diverge or converge.

Overall, finding the fixed points, classifying them, sketching the neighboring trajectories, and filling in the rest of the phase portrait can help us understand the behavior of a dynamical system and make predictions about its future evolution.

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Answer:

Surface Area of rectangular prism = 94 feet²

Step-by-step explanation:

Length, l = 3 feets

Width, w = 4 feets

Height, h = 5 feets

Surface area, A of a rectangular prism is given as :

2(lw + lh + wh)

A = 2[(3*4) + (3*5) + (4*5)]

A = 2(12 + 15 + 20)

A = 2(47)

A = 94 ft²

Answer:

Step-by-step explanation:

Power analysis is a valuable tool used before data collection to ensure that you have an adequate sample size to achieve the desired power, minimize Type II error rates, and maintain a Type I error significance level.

Yes, that is correct. Power analysis is a crucial step in the planning phase of a research study. It allows researchers to estimate the required sample size to achieve adequate statistical power for the study. Adequate statistical power ensures that the study is able to detect meaningful differences or effects between groups or variables. This is important because collecting too little data can lead to a low power, which increases the risk of false-negative results (type II error).

Power analysis can also help evaluate the effect size of a study when there are restrictions on the data collection, such as limited time or resources and its significance level. Overall, power analysis is a valuable tool for ensuring that a study collects enough data to draw meaningful conclusions. By considering the practical situation and appropriate effect size, power analysis helps you make informed decisions about your study design and evaluate the study's effect size when faced with restricted resources. This way, you can maximize the reliability and validity of your study's findings.

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Answer:

Step-by-step explanation:

You want to know the price per bushel for wheat, corn, and rye, given the sales ...

Using x, y, and z for price per bushel of wheat, corn, and rye, respectively, the given sales tell us ...

The easiest way to solve a system of equations like this is to make use of the matrix manipulation capabilities of a calculator. The attached calculator display shows the reduction of the augmented matrix of coefficients to "reduced row-echelon form". That puts the solution in the last column:

  x = y = 3.61, z = 1.91

The price per bushel for wheat and corn is the same: $3.61; the price per bushel for rye is $1.91.

__

Additional comment

The second attachment shows a solution using a graphing calculator. In this solution, an expression for z based on the first equation is used in the remaining two equations, which then tell us the values of x and y.

If you add all of the equations, you get 10x +10y +10z = 91.30, which gives you ...

  x + y + z = 9.13

This can be solved for any variable you may want to substitute into any pair of the equations. This approach avoids any messy fractions.

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Answer:

14 square units

Step-by-step explanation:

Area of a right angle triangle is : ½ (Base × Perpendicular)

Here;

base = 4 units

perpendicular = 7 units

Therefore;

area = 1/2 x ( 4 x 7)

= 1/2 x 28

= 14 \(units^{2}\) or 14 square units

As per the question:-

We know that area of a rectangle=1/2*base*height

therefore, as per question 1 square box is equal to 1 unit and

we can see that the base of the given triangle consists of 4

square box , therefore base=4 units

By seeing the height we observe that it consists of 7 square boxes

therefore height=7units

Hence total area= 1/2*base*height

                             =1/2*4*7

                             =14 units square

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Answer:

ok ummm 5

Step-by-step explanation: