Write each decimal as a fraction or mixed number in simplest form. Write fractions like the following 2/3 or 3/5. -0.02

Answer:

36.16 miles

Step-by-step explanation:

A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It travels from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Answer:

The distance between two points X(\(x_1,y_1\)) and Y\((x_2,y_2)\) is given as:

\(|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

From the image attached, the coordinates of the plane are:

A(-1, -1), B(1, -1), C(5, 2), D(0,  13), E(-5, 2).

The lengths are:

\(|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units\)

But 1 mile = 1 unit

Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles

53 inches is the mean height of the students in the group.

Given data: \(54,48,52,56,55\)

We know that mean of the heights =  \(\frac{Sum of all the heights}{No. of students}\)

                                                         \(= \frac{54+48+52+56+55}{5}\)

                                                         \(= \frac{265}{5}\)

                                                         \(= 53\) inches

Thus, the mean height of the students is 53 inches

Read more about Mean:

https://brainly.com/question/8610762

Answer:

5

Step-by-step explanation:

NAAAAAA git trippen

Michael can expect to draw a diamond 5 times.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a diamond from a standard deck of 52 cards is 13/52 or 1/4.

Since Michael draws 20 cards with replacement, each draw is independent and follows a binomial distribution with n=20 and p=1/4.

The expected number of times Michael will draw a diamond is given by:

E(X) = n×p

= 20 × (1/4)

= 5

Therefore, Michael can expect to draw a diamond 5 times.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

1.  The area of the scale drawing is  1800 cm².

2. We can multiply the dimensions of the drawing by the scale factor of 5.

3. The area of the actual board is 45000 cm².

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

1. Therefore, The area of the scale drawing is (50×36) cm².

= 1800 cm².

2. Given, The scale factor is in the ratio of 5 : 1.

Therefore, The actual length is 50×5 cm = 250 cm and the width is 180 cm.

3. The area of the actual board is 250×180 = 45000 cm².

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ1

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

The area of the given polygon which is a rectangle is; 28 sq. units

We are given the coordinates of the polygon as;

A(3,7)

B(5,7)

C(3,-7)

D(5,-7)

Now, by close inspection of the coordinates, we can tell that this polygon is a rectangle. Thus, we can deduce that;

AB = 5 - 3 = 2

CD = 5 - 3 = 2

BC = 7 + 7 = 14

AD = 7 + 7 = 14

Formula for area of a rectangle is;

A = Length * Width

A = 14 * 2

A = 28 sq. units

Read more about Area of Polygon at; https://brainly.com/question/27410302

#SPJ1

Answer:

23

Step-by-step explanation:

Answer:

A) 42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

It's A, it's less than 90 so it has of be acute

Answer:

P=25

Step-by-step explanation:

Answer:

Hope that helps!

Step-by-step explanation:

16: -20

17:-4

18: 9

19: -11

20: -25

21: -4

22: 0

23: -34

The appropriate hypotheses

Н0 = μ = 23.9

HA = μ > 23.9

The first step in hypothesis testing is to state the null hypothesis (H0) and the alternative hypothesis (HA). In this case, the null hypothesis is that the mean age at which men first marry has not changed since 1960. The alternative hypothesis is that the mean age at which men first marry has increased since 1960.

H0 = μ = 23.9

HA = μ > 23.9

If the sample mean age is significantly greater than 23.9 years, we would reject the null hypothesis and conclude that there has been an increase in the mean age at which men first marry in the region since 1960.

If the sample mean age is not significantly greater than 23.9 years, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the mean age at which men first marry has increased since 1960.

To know more about hypothesis here

https://brainly.com/question/29576929

#SPJ4

Answer:

6.75

Step-by-step explanation:

So basicly we know the area of the rectangle which really helpful.

So lets take the formula of the are for the triangle, which is b*h*1/2

So we know that the height and bass of the triangle is the same as the rectangle's legnth and width.

Meaning that we can replace b*h with 13.5.

So plug that into the quation.

13.5*1/h= Area of ACE

6.75= Area of ACE

hence, 6.75 is your answer

The area of the triangle ACE is; 6.75 square units.

According to the question; a triangle is inscribed in a rectangle with each vertex of the triangle lieing on a side of or at a vertex of the rectangle.

In essence, to find the number of square units in the area of shaded triangle ACE,

We have to divide the area of the rectangle by 2.

Therefore, the area of the triangle ACE is;

6.75 square units.

Read more:

https://brainly.com/question/17390758

Answer:

6

Step-by-step explanation:

If you divide 78 by all of the numbers, only one, 6, is a whole number, making it the only factor. You can check this by multiplying 6 by 13, (you get 13 from the division) and you get 78.

I hope this helps!

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

for more questions on porosity

https://brainly.com/question/3107253

#SPJ11

The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400

Given,

In the question;

Sin(a) = 1/4 and cos(b) = -3/5

with a and b both in the interval [\(\frac{\pi }{2} ,\pi\))

To find the sin(a + b) and cos (a - b)

Now, According to the question:

We know that :

Sin (b) =   \(\sqrt{1-cos^2b}\) = 4/5

Cos (a) = - \(\sqrt{1-sin^2a} = - \frac{\sqrt{15} }{4}\)

∴ Sin(a + b) = Sin(a) Cos(b) + Cos(a) Sin(b)

  Sin(a + b) = 1/4. (-3/5) + \(-(\frac{\sqrt{15} }{4} )\) . 4/5

   Sin(a + b)  =   \(-\frac{3+4\sqrt{15} }{20}\)

∴ Cos (a -b) = \(cos^2a -sin^2b\)

Cos (a -b) = \((-\frac{\sqrt{15} }{4} )^2\) - \((\frac{4}{5} )^2\)

Cos (a -b) = 119/400

Hence, The value of   Sin(a + b) =   \(-\frac{3+4\sqrt{15} }{20}\) and value of

Cos (a -b) = 119/400 .

Learn more about Trigonometric Function at:

https://brainly.com/question/26989297

#SPJ1

Answer:

A = 3.6

Step-by-step explanation:

5.4 = a - (-1.8)

5.4 = a + 1.8

subtract 1.8 from both sides

3.6 = a

Hope this helps. Pls give brainliest.

Answer:

a = 3.6

Step-by-step explanation:

5.4=a−(−1.8)

Step 1: Simplify both sides of the equation.

5.4=a+1.8

Step 2: Flip the equation.

a+1.8=5.4

Step 3: Subtract 1.8 from both sides.

a+1.8−1.8=5.4−1.8

a=3.6

Answer:

Step-by-step explanation:

The probability of randomly selecting a person who has hearing problems or vision problems cannot be computed by simply adding the probabilities of each individual problem. The correct answer is (B) No, because hearing and vision problems are not mutually exclusive.

To understand why we cannot add the probabilities, let's consider a simple example.

Let's say we have 100 people. According to the given probabilities, 15.3% of them have hearing problems, which means approximately 15 people have hearing problems. Similarly, 83% of them have vision problems, which means approximately 83 people have vision problems.

If we were to add these probabilities, we would assume that the total number of people with hearing or vision problems is 15 + 83 = 98. However, some individuals may have both hearing and vision problems, and if we count them twice, we would be overestimating the total number of people with hearing or vision problems.

To know more about probability visit-

https://brainly.com/question/31828911

#SPJ11

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

Learn more about condensed expressions:
https://brainly.com/question/13729452
#SPJ1

Answer:

B, C and E

Step-by-step explanation:

Given

See attachment for table

Required

Select two correct options

Checking the greatest maximum

The maximum of each function is:

\(f(x) = 14\)

\(g(x) = 49\)

\(h(x) = 0\)

Compare these three values, we have:

\(g(x) > f(x) > h(x)\)

Because:

\(49 > 14 > 0\)

This means that g(x) has the greatest maximum --- option E

Checking the x intercept

When a function equals 0, then it has an x intercept

Of the three functions, we have:

\(f(0) = 0\)

\(h(0) = 0\)

g(x) do not equal 0, at all

This means that only f(x) and h(x) have x intercept --- option B

Checking the least maximum

The minimum of each function is:

\(f(x) = -14\)

\(g(x) = \frac{1}{49}\)

\(h(x) = -28\)

Compare these three values, we have:

\(h(x) < f(x) < g(x)\)

Because:

\(-28 < -14 < \frac{1}{49}\)

This means that h(x) has the least minimum --- option C

Systematic sampling and cluster sampling are examples of probability sampling methods used in human research. These methods are employed to ensure that each participant in the population has a known, non-zero chance of being selected, which helps in obtaining representative samples and drawing more accurate conclusions.

Systematic sampling and cluster sampling are both examples of probability sampling methods used in human research.

Probability sampling methods involve randomly selecting participants from a larger population, giving each individual an equal chance of being selected.

Systematic sampling involves selecting every nth participant from a list of the population, while cluster sampling involves dividing the population into clusters or groups and then randomly selecting entire clusters to include in the study.

These methods are considered to be more representative and unbiased than non-probability sampling methods, which do not involve random selection and may not accurately reflect the characteristics of the population.

For similar question on probability.

https://brainly.com/question/12344616

#SPJ11

Answer:

Area_square = 4 cm2

Area_triangle = 4 cm2

Step-by-step explanation:

The first thing to do is calculate the area of both figures.

The area of the square is given by:

Area_square = side * side

The side of the square is 2 cm, so:

Area_square = 2 * 2 = 4 cm2

The area of the triangle is given by:

Area_triangle = base * height / 2

The base is 2 cm, and the height is 4 cm, so we have:

Area_triangle = 2 * 4 / 2 = 4 cm2

So we have that Area_square = Area_triangle = 4 cm2

Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

Learn more about underlying principles from below link

https://brainly.com/question/29327633

#SPJ11

Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

Learn more about underlying principles from below link

brainly.com/question/29327633

#SPJ11