jarrod wants to find out the most popular football game between the home team and the visiting team. which of the following would give him the most accurate results? * 1 point a.surveying the cheerleaders b.surveying the people waiting in line for tickets c.surveying the people with the visiting team's hat on d.surveying the people wearing the home team's jersey

Answers

Answer 1

Out of the given options, Jarrod can get the most accurate results by surveying the people wearing the home team's jersey. Therefore, the correct option is D.

A survey is an organized process of collecting and recording information from a particular group of people for the purpose of understanding and discovering the state of affairs in a particular area or issue. It is one of the most prevalent research methods used by social scientists and market researchers, among others. Surveys are used to obtain accurate data on a variety of topics, such as people's opinions and behaviors, demographic data, socioeconomic data, and much more.

Accurate surveying is critical because it assists in collecting precise data, which is critical in making sound decisions. An accurate survey provides the data needed to establish reliable conclusions, identify trends, and draw meaningful insights.

The method of conducting a survey can influence the outcome; therefore, it is critical to use the most effective approach to get accurate data.

To get the most accurate results from a survey, a researcher must be sure to construct the questionnaire correctly and analyze the data effectively.

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Related Questions

What are the exact lengths of BC and CF?

The length, in feet, of BC is the square root of.

The length, in feet, of CF is the square root of

Answers

The length, in feet, of BC is the square root of  √242 and, The length, in feet, of CF is the square root of √363

Cube:

In geometry, a cube is a three-dimensional solid object bounded by six faces, facets, or square sides, with three points of intersection at each vertex. Seen from a certain angle, it is a hexagon and its canvas is often represented by a cross.

Cube is the only regular hexahedron and one of the five Platonic solids. It has 6 faces, 12 edges and 8 vertices. Cube is also a cube, an equilateral cuboid, a rhombus and a 3-sonohedron.

Three orientations are square prisms and four orientations are triangular trapezoids. A cube is twice as large as an octahedron. It has cubic or octahedral symmetry. Cube is the only convex polyhedron whose faces are square.

Then the length CB is given by the Pythagorean theorem as:

CB = √(AC² +AB²)

     = √{(2 cm)² + (√2 cm)²}

     = √(4 +2) cm

CB = √6 cm

Now,

The length, in feet, of BC is the square root of  

√242

And,

The length, in feet, of CF is the square root of  

√363

Complete Question:

A cube. The top face has points C, A, B, D and the bottom face has points G, E, F, H. Diagonals are drawn from B to C and from C to F. Side B F is 11 feet.

What are the exact lengths of BC and CF?

The length, in feet, of BC is the square root of

The length, in feet, of CF is the square root of

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Answer:

The length, in feet, of BC is the square root of

✔ 242

The length, in feet, of CF is the square root of

✔ 363

Step-by-step explanation:

Suppose that 30 students take a quiz worth 30 points. The SD of the scores is 1 point. Which of the following gives the most reasonable description of the distribution of quiz scores?
A) All of the individual scores are one point apart.
B) The difference between the highest and lowest score is 1.
C) The difference between the 1st and 3rd quartile marks is 1.
D) A typical score is within 1 point of the mean.

Answers

The statement that gives the most reasonable description of the distribution of quiz scores is "A typical score is within 1 point of the mean." The correct answer is Option D.

What is Standard deviation?

The standard deviation (SD) is a measure of the variability of data in a population. Standard deviation is a measure of how much each value differs from the mean (average) value of the data set.

What is the range?

The difference between the highest and lowest values in a dataset is known as the range. It's a quick way to see the data's spread. If the range is big, it implies that the data is more diverse, while if it's small, it implies that the data is more consistent.

What is the first quartile?

The first quartile (Q1) is the value that splits the lowest 25% of a data set from the rest of the data set. If we order the dataset from smallest to largest, the first quartile is the value at the 25th percentile.

What is the third quartile?

The third quartile (Q3) is the value that splits the highest 25% of a data set from the rest of the data set. If we order the dataset from smallest to largest, the third quartile is the value at the 75th percentile.

What is the mean?

The sum of all values in a dataset divided by the total number of values in the dataset is known as the mean. The mean, often known as the arithmetic mean, is one of the most basic measures of central tendency in statistics.

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Find the mean, median, mode, and range for the data set given.

112, 122, 132, 142, 152

Answers

mean - 112+122+132+142+152=660/5 =132
median - [middle number] = 132
range - 152-112=40
mode - 152

Use the following points to find the slope.
(1, -1)
(4, 8)



Use the slope and one of the points to find the y-intercept.



Write the final formula.

*

Answers

Answer:

the formula is -xcomma y because I there is y intercept then there x will be negative. not y

I need the answer for number 3 step by step, please help!

Answers

Answer:

[tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

Look at the red slope triangle that is drawn. If you start at the point on the left, you go down 1 unit and then to the right 3 units.  This would be represented by -1/3.  Down would be negative and going right would be positive.  The slope is the rise over the run.

Helping in the name of Jesus.

A bag contains 8 green cubes, 12 black cubes and 16 white cubes. What is the ratio of green to black to white cubes in its simplest form?​

Answers

Answer:

Total number bags is 36

green cubes is 8white cubes is 16Black cubes is 12

1:2:3 the answer

This is the answer, hope it helps

Suppose we create a box model for the outcome of a game of darts. The player has a 1/3 chance of throwing a dart in the inner ring, and a 2/3 chance of the dart landing in the outer ring. In our model, we have two unique tickets marked "inner" and "outer." We put in 1 ticket marked "inner." How many tickets do we put in that are marked "outer?"
a. 0
b. 1
c. 2
d. 3

Answers

As per the combination method, the number of tickets that we put in that are marked "outer" is 3 (option d).

In this case, we want to choose the number of tickets marked "outer." Let's call this number k. We know that we already put one ticket marked "inner" in the box, so the total number of tickets in the box is 2. Therefore, n = 2.

Now we need to determine k. We want to know how many tickets we need to put in that are marked "outer." We can represent this as a. So we have:

ᵃC₁ = a! / ((1!)(a-1)!) = a

We want to find the value of a that satisfies the condition that the probability of choosing an "inner" ticket is 1/3 and the probability of choosing an "outer" ticket is 3/2.

Since we already put in 1 ticket marked "inner," the probability of choosing an "inner" ticket is 1/2, which means the probability of choosing an "outer" ticket is also 1/2.

We know that the probability of choosing an "outer" ticket is 3/2, so we can set up the following equation:

ᵃC₁ / 2 = 3/2

Solving for a, we get:

a = 3

In conclusion, the answer is (d) 3.

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what proportion of values for a standard normal distribution are less than 2.98?

Answers

Regardless of the appearance of the normal distribution or the size of the standard deviation, approximately less than 2.98% of observations consistently fall within two deviations types (one high and one low).

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. In graphical form, the normal distribution is represented by a "bell curve".

The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the mean of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases. Therefore, physical quantities assumed to be the sum of many independent processes, such as measurement errors, tend to have a near-normal distribution.

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Will a 12.5-inch x 17-inch rectangular tray fit in
the box shown? Explain.
Please help!!!

Answers

Therefore, the correct response is OB: No, the box is a rectangle, and the tray's 12.5-inch length is greater than the box's 11-inch breadth.

what is rectangle ?

A rectangle is a geometric shape with four edges and four angles that exists in two dimensions. Because it is a sort of quadrilateral, it has four sides that are parallel to one another. Rectangles are a form of parallelogram because they have opposite sides that are the same length and opposite angles that are the same size. A rectangle's two adjacent sides make right angles, so all four of the angles, which each measure 90 degrees, are right angles.

given

The tray has a breadth of 17 inches and a length of 12.5, according to the measurements given. The package is 13 inches by 11 inches by 11 inches in size.

The platter can fit inside the box because its length is less than the box's length, which is 13 inches. But we also need to think about the box's breadth and height.

The tray cannot fit inside the box in that dimension because its width, which is 17 inches, is larger than the box's, which is 11 inches. The tray cannot fit inside the box because the height of the box is also 11 inches, which is shorter than the length of the tray neither in that realm.

Therefore, the correct response is OB: No, the box is a rectangle, and the tray's 12.5-inch length is greater than the box's 11-inch breadth.

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Jessie is considering a purchase of a $135,000 home at 5. 5%. Under this rate,
her mortgage payment would be $766. 51. If she purchases a point, her new
mortgage payment is $755. 96. How many months would it take her to break-
even on the points purchase?

Answers

As per unitary method, the number of months would take her to break - even on the points purchase is 128

To break even on the points purchase, Jessie needs to recoup the cost of the point through the savings in her monthly mortgage payments. In this case, the cost of the point is 1% of the loan amount, which is $1,350.

To calculate the break-even point, we can use the following formula:

Break-even point = Cost of point / Monthly savings

In this case, the monthly savings is the difference between the original mortgage payment ($766.51) and the new mortgage payment with the point ($755.96), which is $10.55 per month.

Substituting the values, we get:

Break-even point = $1,350 / $10.55

Break-even point = 128 months

Therefore, it would take Jessie 128 months, or just over 10 years, to break even on the points purchase.

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Please help me I am stuck on this question

Answers

Answer:

9

Step-by-step explanation:

-5 + (-18) +32

-23 + 32

32 -23

Please urgent need the work and answer
X=3.2
Y=6.1
Z=0.2

XZ +Y2

Answers

Answer: 12.84

Step-by-step explanation:

if x = 3.2 and y = 6.1  and Z = 0.2

then plug in the numbers

(3.2)(0.2) + (6.1)(2)

0.64 + 12.2 = 12.84

Any variable next to a number means multiplication.

if I was wrong lmk

how do i work this out i dont understand it

Answers

Answer:

37

Step-by-step explanation:

we know that:

C=?

c=17

b=26

a=14

using the law of cosine:

[tex]a^{2} +b^{2} -2ab Cosc=c^{2}[/tex]

[tex]14^{2} +26^{2} -2(14)(26)Cosc=17^{2} \\872-728Cosc=289\\-728Cosc=-583\\Cosc=\frac{-583}{-728} \\C=36.791\\C=37[/tex]

D. A population of rabbits is doubling every 3 months. If there were 2 rabbits to begin
with, how many will there be after 5 years?

Answers

There will be a population of 2,097,152 rabbits after 5 years.

What is exponential growth?

A form of growth known as exponential growth occurs when a quantity's rate of expansion is proportionate to its present value. In other words, a quantity expands more quickly the greater it is. A prime example of exponential expansion is the rabbit population, which doubles in size every three months.

Given that, population of rabbits is doubling every 3 months.

That is,

5 years = 5 x 12 = 60 months

Number of doublings = 60 / 3 = 20

For every doubling, the population will be twice as large.

Thus,

P = 2 x 2²⁰ = 2 x 1,048,576 = 2,097,152 rabbits

Therefore, there will be approximately 2,097,152 rabbits after 5 years.

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PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer: x = 18

Step-by-step explanation:

x - 3 = 15

x = 15 + 3

x = 18

[tex]\huge{\color{pink}{\underline{\color{pink}{\underline{\color{cyan}{\textbf{\textsf{\colorbox{purple}{Answer ≈}}}}}}}}}[/tex]

x = 18

Step-by-step explanation:

Given ,

≈> x – 3 = 15

•add 3 on both the sides

≈> x –3 + 3 = 15 + 3

≈> x = 18

Hope it helps you :)

#1 Brainlist!
Answer and show steps and I will make you brainlist.

Answers

Answer:

Multiplying the second equation by 5, we get:

15x + 20y = 180

Now, we can add this equation to the first equation:

26x = 208

x = 8

Substituting x = 8 in the second equation:

3(8) + 4y = 36

4y = 12

y = 3

Therefore, the solution to the system is (8, 3).

Decide whether you can use the given information to prove that $\triangle ABC\cong\triangle DEF$ . Explain your reasoning.

$\angle A\cong\angle D,\ \angle C\cong\angle F,\ \overline{AC}\cong\overline{DF}$

Responses

Answers

Answer:

Yes, we can use the given information to prove that $\triangle ABC\cong\triangle DEF$ by the Angle-Side-Angle (ASA) congruence criterion.

We are given that $\angle A\cong\angle D$ and $\angle C\cong\angle F$, which satisfies the Angle-Angle (AA) criterion. Furthermore, we are given that $\overline{AC}\cong\overline{DF}$, which satisfies the Side-Side-Side (SSS) criterion. Therefore, by combining the AA and SSS criteria, we can conclude that $\triangle ABC\cong\triangle DEF$ by the ASA criterion.

In summary, the given information satisfies the necessary conditions for the ASA congruence criterion, and therefore we can prove that $\triangle ABC\cong\triangle DEF$.

Each of these measures is rounded to nearest whole: a=5cm and b=3cm Calculate the upper bound of a +b

Answers

The upper bound of a + b can be found by adding the upper bounds of a and b.

For a = 5cm, the nearest whole number is 5. The upper bound would be the midpoint between 5 and 6, which is 5.5.

For b = 3cm, the nearest whole number is 3. The upper bound would be the midpoint between 3 and 4, which is 3.5.

So the upper bound of a + b is:

5.5 + 3.5 = 9

Therefore, the upper bound of a + b is 9cm.

Consider the second order differential equation with initial conditions u" +2u' - 5u = 5 sin(3t), u(1) = 3, u'(1) = 4.5. Without solving it, rewrite the differential equation as an equivalent set of first order equations. In your answer use the single letter u to represent the function u and the single letter v to represent the "velocity function" ul. Do not use u(t) or v(t) to represent these functions. Expressions like sin(t) that represent other functions are OK. u= V Now write the first order system using matrices: u C ] [: + The initial value of the vector valued solution for this system is: u(1) = v(1)

Answers

The equivalent set of first-order equations in matrix form is [tex]w' = Cw + [0,[/tex] [tex]5sin(3t)^{T}[/tex] and the initial value of the vector-valued solution is w(1) = [tex][3,4.5]^{T}[/tex].

The given second-order differential equation as a set of first-order equations, we can define a new variable v(t) to represent the derivative of u(t), i.e., v(t) = u'(t). Then, we can rewrite the second-order differential equation as two first-order differential equations:

[tex]u' = v[/tex]

[tex]v' = 5sin(3t) + 5u - 2v[/tex]

where u' and v' represent the derivatives of u and v with respect to t, respectively.

To write this first-order system in matrix form, we can define the vector-valued function w(t) = [u(t), v(t)]^T and write the system as:

[tex]w' = [v, 5sin(3t) + 5u - 2v]^T[/tex]

where the superscript T denotes the transpose of a vector or matrix.

Using this notation, the initial value of the solution vector is given by w(1) =[tex][u(1), v(1)]^T = [3, 4.5]^T.[/tex]

In matrix form, the first-order system can be written as:

[tex][ u' ] [ v ]\\[ ] = [ ]\\[ v' ] [ 5sin(3t) + 5u - 2v ][/tex]

or

[tex]w' =\\[ u' ]\\[ v' ]\\[ v ]\\[ 5sin(3t) + 5u - 2v ][/tex]

where

w =

[tex][ u ]\\[ v ][/tex]

and the coefficient matrix C is given by:

[tex]C =\\[ 0 1 ]\\[ 5 -2 ][/tex]

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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The 1-mile relay team has a goal to run a
mile in 4 minutes. The first three runners
have run their laps in 57.38 seconds,
60.92 seconds, and 58.47 seconds. What
is the greatest time that the fourth runner
can run for the team to reach its goal?

Answers

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Final answer:

The greatest time that the fourth runner can run for the team to reach its goal is 63.23 seconds.

Explanation:

To find the greatest time that the fourth runner can run for the team to reach its goal, we need to subtract the total time of the first three runners from the goal time of 4 minutes (240 seconds).

Total time of the first three runners = 57.38 seconds + 60.92 seconds + 58.47 seconds = 176.77 seconds

Greatest time the fourth runner can run = Goal time - Total time of the first three runners = 240 - 176.77 = 63.23 seconds

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You have five student groups to present in class one group cannot go first because they need additional set up time and how many orders can they present

Answers

They can present in 96 different orders. Given, there are five student groups to present in class and one group cannot go first because they need additional set-up time.

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

We have 5 positions to fill here.

First position: 4 ways (one of the rest 4 groups will present first)

Second position: 4 ways (one of the rest 3 groups and the group which could not present first, will present second)

Third position: 3 ways (one of the rest 3 groups will present third)

Fourth position: 2 ways (one of the rest 2 groups will present fourth)

Fifth position: 1 way (rest group will present last)

Total ways in which they can present = 4*4*3*2*1 = 96

Hence, the answer is 96.

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Solve each equation and verify the solution.​Please heeelp

Answers

We have established that the answer to the equation,  [tex]x = 24/7[/tex] , is that the left side equals the right side.

What is the equation in algebra?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation [tex]3x + 5 = 14[/tex]  consists of the two equations  [tex]3x + 5[/tex] and 14, which are separated by the 'equal' sign.

The equation is as follows:

[tex]\frac{1}{2}\times (x-2)+ 1+2/3x-3[/tex]

This equation can be made simpler by first merging like terms:

[tex]\frac{1}{2}\times (x-2)+ 1+2/3x-3[/tex]

[tex]= 1/2x + 2/3x - 4[/tex]

[tex]= 7/6*x - 4[/tex]

As a result, the equation becomes [tex]7/6*x - 4 = 0.[/tex]

We can now get the value of x by multiplying both sides by 6/7 after adding 4 on both sides: [tex]7/6*x = 4 x = 24/7.[/tex]

We rewrite the original equation with x = 24/7 to confirm the solution:

[tex]1/2*(24/7-2)+1+2/3(24/7)-3[/tex]

[tex]= 1/2*(10/7)+1+16/21-3[/tex]

[tex]= 5/7+1-2/3[/tex]

[tex]= 6/7[/tex]

Therefore, 6/7 demonstrates the equality.

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The sum of two expressions is x2-y2-2xy+y-7. if one of them is 2x2+3y2-7y+1, find the other.

I need proper step by step answer or else I will be terminating your answer.

Answers

Answer:

-x^2 - 2xy - 2y^2 + 8y - 8.

Step-by-step explanation:

Let the other expression be A. Then, we have:

x^2 - y^2 - 2xy + y - 7 = (2x^2 + 3y^2 - 7y + 1) + A

Simplifying the left side:

x^2 - y^2 - 2xy + y - 7 = 2x^2 + 3y^2 - 7y + 1 + A

Rearranging the terms:

A = x^2 - y^2 - 2xy + y - 7 - 2x^2 - 3y^2 + 7y - 1

Simplifying further:

A = -x^2 - 2xy - 2y^2 + 8y - 8

Therefore, the other expression is -x^2 - 2xy - 2y^2 + 8y - 8.

Answer:

the other expression is -x^2 - 2y^2 - 2xy + 8y - 8.

Step by step explanation:

We are given that the sum of two expressions is x^2 - y^2 - 2xy + y - 7, and we are told that one of them is 2x^2 + 3y^2 - 7y + 1. Let's call the other expression A, so we have:

A + 2x^2 + 3y^2 - 7y + 1 = x^2 - y^2 - 2xy + y - 7

Now we can rearrange this equation to solve for A:

A = x^2 - y^2 - 2xy + y - 7 - 2x^2 - 3y^2 + 7y - 1

Simplifying the right-hand side, we get:

A = -x^2 - 2y^2 - 2xy + 8y - 8

Therefore, the other expression is -x^2 - 2y^2 - 2xy + 8y - 8.

An electric dipole with its center located at the origin of a Cartesian coordinate system oscillates along the z axis, creating an electromagnetic wave. At a position on the y axis far from the origin, what is the polarization of the wave and which axis are the magnetic (a) The wave is polarized parallel to the a axis and the magnetic field lines are parallel to b The wave is polarized parallel to the z axis and the magnetic field lines are parallel to (c) The wave is polarized parallel to the y axis and the magnetic field lines are parallel to (d) The wave is polarized parallel to the y axis and the magnetic field lines are parallel to (e) The wave is polarized parallel to the z axis and the magnetic field lines are parallel to field lines parallel to? the y axis the axis the r axis the z axis the z axis

Answers

The wave is polarized parallel to the y-axis, and the magnetic field lines are parallel to the x-axis. Here option D is the correct answer.

The oscillating electric dipole along the z-axis creates an electromagnetic wave with electric and magnetic fields perpendicular to each other and to the direction of wave propagation. At a position on the y-axis far from the origin, the electric field will be parallel to the y-axis.

The polarization of the wave refers to the orientation of the electric field vector. Since the electric field is parallel to the y-axis, the wave is polarized parallel to the y-axis.

According to the right-hand rule, the direction of the magnetic field lines will be perpendicular to both the electric field and the direction of wave propagation, which is along the z-axis. Therefore, the magnetic field lines will be parallel to the x-axis.

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WHAT IS THE CENTRAL ATOM OF NITRIC OXIDE (NO)

Answers

Answer:

The answer is Nitrogen

Hope this helps :)

question 1.7 construct a histogram and compare to above estimates, are they consistent? what is your best estimate of the random modiifer based on the above, without examining the value?

Answers

To construct a histogram of the estimates and compare it to the above estimates, follow these steps:
1. Compile the data and organize it into groups or bins.
2. Assign each group a height or frequency, usually the number of occurrences in the group.
3. Represent each group by drawing a bar with the corresponding height.
4. Connect the tops of the bars to form a histogram.

Comparing the histogram to the above estimates, if the histogram is similar in shape and spread, then the estimates are consistent.

The best estimate of the random modifier without examining the value is the mode of the data, which is the value that occurs most often.

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josh borrowed $250 from his mother to buy an electric scooter. josh will pay her back in 1 year with 3% simple annual interest. how much interest will josh pay?

Answers

The interest which josh will pay on the electric scooter with a simple annual interest of 3% is 7.50.

What is interest rate?

Interest rate can be defined as the amount of interest which is due per period, as a proportion of the amount lent, deposited, or borrowed by someone.

The interest rate formula is:

Interest Rate = {(Simple Interest × 100)}/{ (Principal × Time)}

Here,

Josh borrowed 250 from his mother to buy an electric scooter and will pay her back in one year with three simple annual interest.

The amount of interest that Josh will pay is calculated as:

Interest = Principal Amount × Rate of Interest × Time

Interest = 250 × 3

Therefore, Josh will pay his mother $7.50 in interest for the loan.


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Tanya is making a scale drawing of her house. She is using a 6 inch line on her drawing to represent the 30 foot width of her house. Tanya's room is 12 feet by 12 feet. What will be the length of the lines she uses to represent her room on the scale drawing?

Answers

Answer:2.4 inches

Step-by-step explanation:

if 6 is for 30 feet, we can use a proportional statement to find what the length of the line will be for a room that is 12 feet.

A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of DE.

Answers

The length is 7-3 so 4

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Sub in D(3, -2), E(7, -2) to get:

  [tex]DE=\sqrt{(7-3)^2+(-2-(-2))^2}[/tex]

         [tex]=\sqrt{4^2+0^2}[/tex]

         [tex]=4[/tex]

according to the usgs, each person in the united states uses an average of how many metric tons of mineral resources each year? question 1 options: 2 12 18 32 42

Answers

Each person in the United States uses an average of 18 metric tons of mineral resources each year.

Step by step explanation:According to the USGS, each person in the United States uses an average of 18 metric tons of mineral resources each year. It has been stated that many of the minerals we use in our daily lives are found in things we use every day, such as electronic devices, personal care products, and vehicles.

Mineral resources are utilized in many aspects of our lives, including construction, transportation, energy production, and electronics. As a result, minerals are an essential component of the modern economy.

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