CAN SOMEONE HELP WITH THIS QUESTION?

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

Answer 1

Where the above conditions are given then, F(x) = -10x⁻¹ + (9/4)x⁻⁴ + 31  /4.

This is the antiderivative  F(  x) of f(x) with F( 1 ) = 0.

What is an antiderivative?

To find the antiderivative F x)  of f( x)

integrate the function f(  x) with respect to x

Seperate the terms  ....

f(x) = 10/x² - 9/x⁵

= 10x⁻² - 9x⁻⁵

Integrating each term separately....

  ∫10 x⁻² dx = -10x ⁻¹ + C  1

∫-9 x⁵ dx = (9/4 )x⁴ + C2

where C1 and C2 are constants of integration.

So the antiderivative F( x) of f( x) is:

F( x) = -10x⁻¹+ (9 /4) x⁻⁴ + C

where C is the constant of integration that we need to solve for using the given initial condition F(1) = 0:

F(1 ) = -10 (1 )⁻¹ + (9/ 4)( 1)⁻⁴ + C = 0

Simplifying this equation:

-10 + (9/4) + C = 0

C = 10 - (9/4)

C = 31/4

So we can conclude that  the antiderivative F(x) of f(x) with F(1) = 0 is

 F(x) = -10x⁻¹ + ( 9 /4)x⁻⁴ + 31  /4

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Related Questions

Find the area of the shaded region. Round your answer to the nearest hundredth.


I need a detailed way to solve the solution.

Quick as possible!

Find the area of the shaded region. Round your answer to the nearest hundredth.I need a detailed way

Answers

Answer:

4.56

Step-by-step explanation:

i see a sector hosting 2 semi circles.

this sector area will be .25 of area of circle with radius 4ft.

area of sector = .25*π*16= 4π ft^2

area of semi circle of radius 2ft = .5π*4= 2πft^2

area of 2 semicircles = 4π

the total area of sector = area of 2 semicircles - intersection area + area not covered by semi circles

4π = 4π - intersection area+area not covered by semi circles

intersection area = area not covered by semi circles

now draw a square starting from the intersection point of 2 semi circles at their upper portion. the side will be 2ft

the area of intersection will be covered in the square.

area of intersection = 2*quarter area of circle of radius 2ft - area of square

= 2*(.25π4) - 4

2π-4 = 2.28

area of intersection = area not covered by semicircle

so area of shaded region = 4.56

Zendaya needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $59 for parts. The total was $377.75. What was the cost of labor, per hour?

Answers

This is oddly the funniest question I've seen so far. But never fear, I guess I'm here? :\

Honestly, I'm kinda lost but your answer should be $88.88. Even though it would say $88.88 multiplied by total hours, which is 4 hours and 25 minutes is $377.74, that answer is determined by a thousandth of a number. If you want it the other way, it's 88.8824.

Definitely hope this helped. [Pretty much, the answer is $88.88.]

The cost of labor per hour is $75.

It is required to find the cost of labor per hour.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$377.75 = $59 +  cost of total hours worked

Cost of total hours worked = $377.75 - $59

Cost of total hours worked = $318.75

In order to determine the cost per hour of labor, divide the total cost of total hours worked by the hours worked.

$318.75 / 4.25 = $75.

Therefore, the cost of labor per hour is $75.

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I need a help with this hw

I need a help with this hw

Answers

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

 

What is trigonometric ratio?

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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How do you tell if a function is a power function?

Answers

Using the formula f(x)=kxⁿ, we can tell whether the given function is a power function or not. Here, k and n should be a real number.

A polynomial function having a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number is called a power function. The power function is given by the formula f(x)=kxⁿ. Here, k is the constant of proportionality, and n is the power or real number.

To find out whether the given function is a power function, first convert the given function into a standard form.

Then, look for the constants of proportionality and power value. If we are able to find these two, then the function will be a power function.

For example, y=3x² is a power function because here 3 is the constant of proportionality, and 2 is the power.

Another example, y=7ˣ is not a power function because here the power is a variable (x) not a constant.

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Write the percent as a fraction and as a decimal.
2%
_
4
What is the fraction equivalent?

Answers

2% -decimal 0.02
2%- fraction 1/50
4- fraction 2/5
4-decimal0.04

What is the total square inches

What is the total square inches

Answers

Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

What is the total square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

 

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

What is the total square inches

Please look at the pic and help!!

Please look at the pic and help!!

Answers

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

What is the value of x, the side length of the smallest square (please show work) Thanks!

What is the value of x, the side length of the smallest square (please show work) Thanks!

Answers

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

\(a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm\)

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

43,761 rounded to the nearest thousands

Answers

Answer:

44,000

Step-by-step explanation:

The number 43,761 rounded to its nearest thousands is 4400.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

43,761

3 is in the thousand place.

So,

We will round 3761 to its nearest thousand value.

There are two options:

3000 or 4000

If It is greater than 3499 it will round to 4000.

If it is less than 3500 it will round to 3000.

Now,

3761 > 3499.

So,

The number is rounded to 4000.

Thus,

43,761 is rounded to 4400.

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The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels
since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005,
the figure was 374 parts per million. Find the increase in carbon dioxide levels and the percent of increase.
Round to the nearest tenth of a percent.
Increase carbon dioxide levels:
Percent increase:
196
Submit Question
parts per million
Question Help: Video Message instructor

The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levelssince

Answers

Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.

Step-by-step explanation:

Ambar and Cole are engaged. Ambar works at the pharmacy and Cole works at the Library. In a few months, they will move to an apartment that is located at a point that is collinear to the locations of the pharmacy and the library, and partitions the line segment into a ratio of 2:3 coming from the pharmacy. If each grid in the graph represents 500 meters, then how far is the apartment from both Cole's and Ambar's current places?

Answers

The ratio is 2:3

Let

Coles place be 2xAmbars place=3x

\(\\ \sf{:}\!\implies 2x+3x=500\)

\(\\ \sf{:}\!\implies 5x=500\)

\(\\ \sf{:}\!\implies x=\dfrac{500}{5}\)

\(\\ \sf{:}\!\implies x=100\)

2x=2(100)=2003x=3(100)=300

Solve the equation. 14 + 6d = -4 A. d = -1 B. d = 5 C. d = -4 D. d = -3

Answers

Answer:

D. d = -3

Step-by-step explanation:

14 + 6d = -4

14 + 6(-3) = -4

14 -18 = -4?

Correct :)

what is the answer for d?

what is the answer for d?

Answers

5^4 because 5 is basically 5^1
So 5^3 * 5^1 is 5^4

Your ability to borrow money at lower rates improves as
OA. you save more
OB. you earn more
OC. your debt ratio increases
OD. your credit score increases

Answers

Your ability to borrow money at lower rates improves as your credit score increases. Option D.

What is a credit score?

Your ability to borrow money at lower rates improves as your credit score increases.

A higher credit score indicates to lenders that you have a strong credit history, responsible financial behavior, and a lower risk of defaulting on loans.

Lenders view borrowers with higher credit scores as more reliable and trustworthy, making them more likely to offer lower interest rates and better loan terms.

While saving more and earning more can indirectly contribute to improving your credit score by positively impacting your financial stability and ability to manage debt, they are not direct factors that lenders consider when determining interest rates.

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Simplify this expression:2x + 3 – (5 – 6x).

Answers

Answer:

8x - 2

Step-by-step explanation:

2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= 2x + 3 - 5 + 6x ← collect like terms

= (2x + 6x) + (3 - 5)

= 8x + (- 2)

= 8x - 2

If s(x) = 2-x2 and t(x) = 3x, which value is equivalent to (s° f)(-7)?

Answers

Answer:

-439

Step-by-step explanation:

Think of the question as s(f(-7))

First replace x with -7 in the equation f(x)= 3x

s(-7) = 3*(-7)

s(-7) = -21

now it is s(-21)

we substitute -21 into the s(x) equation to get \(2-(-21)^2\)

That gives you 2-441 = -439

Find the surface area
of the figure below:
19 cm
30 cm.

Find the surface areaof the figure below:19 cm30 cm.

Answers

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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How many zeros are in the product?
(2 x 9) x 10

Answers

Answer:

1

Step-by-step explanation:

(2x9)= 18

18x10=180

there is 1 zero in 180

2x9 = 18

18x10 = 180

The answer is 1 zero

Emergency rooms have reason to suspect that visits increase on the weekends. A recent report indicates that Monday through Thursday represent 10% per day of the weekly total visits while Friday accounts for 15%, Saturday 25% and Sunday 20%. If your ER has the following pattern, Monday, 120, Tuesday, 130, Wednesday 110, Thursday 95, Friday 160, Saturday 280 and Sunday 105. Does your facility have the same pattern as the recent report at the 10% level

Answers

Answer:

No the facility dose not have the same pattern as the recent report at the 10% level

Step-by-step explanation:

To determine if the Facility have the same pattern ; Perform Chi squared test for Goodness of fit

state the hypothesis

H0 : μ = same pattern

Ha : μ ≠ same pattern

expected frequency ( E )  = proportion * summation of frequency

summation of frequency = 1000

degree of freedom = 7 - 1 = 6

Next : Calculate the expected frequency (E) , (O-E)²/E.  given that the observed frequency  and expected proportion is given

For Monday

expected frequency = proportion * frequency = 0.1 * 1000 = 100

(O-E)²/E.  = ( 120 - 100 )^2 / 100 = 4.0.

observed frequency ( O ) ,  expected frequency  ( E )

For Tuesday

E = 0.1 * 1000 = 100

(O-E)²/E  = ( 130 - 100 )^2 / 100 = 9.0

Repeat same calculations for Wednesday through Sunday

Then perform Chi-squared test

X² = Σ(O-E)²/E  = 63.642    

∝ = 0.1

df = 6

hence P-value = 0.000 ( =chisq.dist.rt(test-stat,df)

since P-value < ∝ ; we will fail to reject Ha  hence we reject H0

on spirit day 63 fewer 7th graders wore green and white then 8th grade. the total number of students wearing green and white was 561. find the number of 7th and 8th graders who wore green and white

Answers

I got the answer of 505 students

During a single day at the radio station WMZH, the probability that a particular song is played is 1/6. What is the probability that this song will be played on exactly 6 days out of 7 days? Round your answer to the nearest thousandth.

Answers

Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.







to the horizontal. Calculate the length of the zip wire

Answers

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Which of these expressions is equivalent to log(15/7)
A. 15 • log (7)
B. log (15)• log (7)
C. log (15) - log (7)
D. log (15) + log (7)

Answers

Answer:

C

Step-by-step explanation:

using the rule of logarithms

log a - log b = log (\(\frac{a}{b}\) ) , then

log (\(\frac{15}{7}\) ) = log 15 - log 7

Find an equation for the line with slope
m=5 and which goes through the point (8,−9).
Write your answer in the form y=mx+b

Answers

An equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

In this question, we have been given a slope of the line and a point (8, -9)

We need to find an equation of the line with slope m = 5 and which goes through the point (8, -9)

Let (x1, y1) = (8, -9)

Using the slope-point form of the line,

y - y1 = m(x - x1)

y - (-9) = 5(x - 8)

y + 9= 5x - 40

y = 5x - 40 - 9

y = 5x - 49

Therefore, an equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

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Point C has the same y-coordinate as point B and the distance between point B and point C is equal to the distance between point C and the y-axis. Point A has the same x-coordinate as point C and the distance between point A and point C is twice the distance between point B and point C. What is one possible location of point A? How many possible locations are there for point A?

Answers

The possible location of point A is (x, y), which is the same as the location of point B and point C, there is only one possible location for point A, and it is the same as the location of point B and point C.

Let's solve this step by step.

First, let's consider the information given:

Point C has the same y-coordinate as point B.

The distance between point B and point C is equal to the distance between point C and the y-axis.

Point A has the same x-coordinate as point C.

The distance between point A and point C is twice the distance between point B and point C.

Let's denote the coordinates of point B as (x, y), and we'll let y be the y-coordinate of point B.

From point 2, we know that the distance between point B and point C is equal to the distance between point C and the y-axis. This implies that point C lies on the vertical line passing through point B. So, the x-coordinate of point C is the same as that of point B, which is x.

From point 1, we know that point C has the same y-coordinate as point B, so the coordinates of point C are (x, y).

From point 4, we know that the distance between point A and point C is twice the distance between point B and point C. Since the distance between two points can be calculated using the distance formula, let's write the equations based on the given information:

Distance between point B and point C = Distance between point C and y-axis

√((x - x)² + (y - y)²) = √(x² + y²)

Simplifying the equation:

0 = √(x² + y²) - √(x² + y²)

This implies that the distance between point B and point C is 0, which means point B and point C coincide. Therefore, point A and point C also coincide since they have the same x-coordinate.

In summary, the possible location of point A is (x, y), which is the same as the location of point B and point C. So, there is only one possible location for point A, and it is the same as the location of point B and point C.

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1. |x - 7] + 8 < 11


How do u solve

Answers

The solution of the given inequality |x - 7| + 8 < 11 is  4 < x < 10.

What is meant by the term inequality?

In mathematics, an inequality is an interaction between two expressions as well as values which are not equitable to each other. Inequality results from a lack of balance.

Rule 1: Once inequalities are linked, they can be crossed. As a result, if an is greater than b and b is greater than c, a will indeed be greater than c as well.If a > b > c, a > c, we can skip b and get to the relationship between a and c directly.Rule 2: When you swap the values, this same sign reverses.If p > q, then q < pIf p < q, then q > p

As per the given relation;

|x - 7| + 8 < 11

Subtract both side by -8.

|x - 7| + 8 - 8 < 11 - 8

|x - 7|  < 3

Removing modulus will give the relation as;

- 3 < x - 7 < 3

Add 7 on both side.

- 3 + 7 < x - 7 + 7 < 3 + 7

4 < x < 10

Thus, the solution of the x lied between 4 and 10 with the condition that;

4 < x < 10.

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Solve the following system of linear equations by addition. Indicate whether the given system of linear equations has one solution, hasno solution, or has an infinite number of solutions. If the system has one solution, find the solution.- 2x + y = 7- 2x + y = -6

Solve the following system of linear equations by addition. Indicate whether the given system of linear

Answers

Answer:

Explanations:

Given the system of equations:

- 2x + y = 7 .................................... 1

- 2x + y = -6 .................................. 2

Subtract both equations from each other to have;

-2x-(-2x) + (y-y) = 7 - (-6)

0x = 7 + 6

0x = 13

Divide both sides by 0

0x/0 = 13/0

x = 13/0

x = ∞

This shows that the system of equations has no solution

Help me please !?...........<3

Help me please !?...........&lt;3

Answers

Step-by-step explanation:

1. DOB & COA, COB& AOD

2. 20 :)

sorry lol my answer needs to be 20 characters long

The answerrrrrr is 20!!!!!!! ;))))))))))))))))

Which graph is defined by the function given below? y = (x + 2)(x + 8)

Answers

Answer:

x^2+8x+2x+16

=x^2+10x+16

=x(x+8)+2(x+8)

=(x+8)(x+2)

=ans.(-8,-2)

Step-by-step explanation:

hope it is helpful to you

Which graph is defined by the function given below? y = (x + 2)(x + 8)

A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point

Answers

He will be 9km away from the point
Other Questions
you and your partner have arrived on the scene of a person injured as a result of a gunshot wound during a burglary. when police later arrive and secure the scene, one of the police tells you to file a complete report describing what you saw when you arrived on scene, as required by law in your area. you should: Fill in each blank with the most logical answer. Watch the agreement!1. Yo no soy alta, soy ___2. Mis amigos no son rubios, son ____3. Los abuelos no son jvenes, son ____4. El perro no es gordo, es___5. Las nias no son antipticas, son___6. Mi amiga no es fea, es ___ Which variable is most important to the following problem?A tentmaker has 60,000 tents in stock. The Army decides to order 350 tentsfor each of its 200 brigades. Will the tentmaker have enough tents in stock?O A. the price of one tentO B. the number of tents the Army ordersC. the size of each tent Two plants cross-fertilize. One plant has round yellow seeds with the genotype RRYY; the other parent plant has green and wrinkled seeds rryy. What gametes can each parent plant produce Answer each of the following questions in not more than two sentences.1. What does speech 1 talk about? What particular occasion do you hear this kind ofspeech? Which battle was the first battle of the Texas Revolution? What heading would you put the following excerpt under?My wife, she darn near cried when I brought her out, but she put on a stiff upper lip and was determined to make the soddie our home.placetimekey figures Every 8th customer gets a $50 gift certificate.$50$10.Every 6th customer gets a \$10 gift certificate.To celebrate its grand opening, a store is giving customers gift certificates. Which customer is the first to get two gift certificates? A cylindrical waste can has a volume of 310.86 cubic meters and the area of its base is about 28.26 square meters. find the height of the waste can. round to the nearest hundredth. What is the distance between points A and B? A solution is prepared by adding 35.0 mL of a propylamine, C3H7NH2, to enough water to make 1.70 L of solution. The density of propylamine is 0.719 g/mL, its molar mass is 59.11 g/mol, and its pkb is 3.328. a) Calculate the molarity of propylamine in this solution. Show work. (3 pts) b) Calculate the pH of the solution at equilibrium. Show work. (10 pts) c) Is the solution of propylamine acidic, neutral or basic? Briefly explain your answer. (3 pts) d) How will adding NaOH impact the equilibrium? Justify your answer. (4 pts) Multicultural counseling practice can be defined as both a helping role andprocess that uses which of the following:a. Traditional counseling practice that emphasizes individualism and control.b. Puts the power of the relationship into the hands of the counselor.c. Negates the universal level of human existence and focuses primarily on theindividual and group levels.d. Defines goals consistent with the life experiences and cultural values ofclients. Read the important periods listed below, and place them in the correct chronological order.Settlement along the NileMiddle KingdomUnification of EgyptFirst Intermediate PeriodOld Kingdom A can of 3 tennis balls costs $5.00. How many tennis balls could Robert buy for $40.00? Create a ratio table and graph to solve. Hi there I need help solving this question, thank you Which of the following parts of a research project is always free of bias?A. identifying the projectB. selecting the sampleC. wording the questionsD. analyzing the dataCorrect AnswerE. none of the above a retail manager for a department store hires associates with experience in purchasing, merchandising, and selling fashion accessories. each associate manages their department as their own business, without requiring any approvals from the retail manager. which situational leadership approach is being used by the retail manager? telling delegating selling participating A 4. 0 m long steel beam with a cross-sectional area of 1. 0 x102m2 and a Young's modulusof 2. 0 x10' N/m 2 is wedged horizontally between two vertical walls. In order to wedge thebeam, it is compressed by 0. 020 mm. If the coffecient of static friction between the beamand the walls is 0. 70, the maximum mass (including its own) it can bear without slippingis: The Castillo de San Marcos is a Spanishfortress that was built between 1672and 1695.a. Rounded to the nearest tenthousand, how many pesos did itcost to build the fortress?It cost 138,375pesos to build thisfortressb. How many years did it take to buildthe fortress? how do you get 14 divided by 9 as a decimal