Draw and label the following figure.


Scalene Right triangle RGH.

Answers

Answer 1

The scalene right triangle RGH is given by the image shown at the end of the answer.

What are the classification of triangles?

There are two classifications of triangles, either regarding the side lengths or the angles.

Regarding the side lengths, the classifications are given as follows:

Scalene: Three different side lengths.Isosceles: Two equal side lengths.Equilateral: Three equal side lengths.

Regarding the measure of the greatest angle, the classifications are given as follows:

Acute: The greatest angle has a measure that is less than 90º.Straight: The greatest angle has a measure that is exactly 90º.Obtuse: The greatest angle has a measure that is greater than 90º.

In this problem, RGH is a scalene right triangle, hence:

The three sides have different lengths.There is an angle of 90º on the triangle.

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Draw And Label The Following Figure.Scalene Right Triangle RGH.

Related Questions

If cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following. Use fractions and radicals only, no decimals.
sin(x/2)=
cos(x/2)=
tan(x/2)=
please help

Answers

According to the trignonmentry of half angles, the value of sin(x/2) is  √(1-5/6)/2, cos(x/2) is √(1+5/6)/2 and the value of tan(x/2) is √11/6/(√(1 + 5/6)

Trigonometry of half angles

Trigonometry of half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° that is half of the standard angle 30° and 22.5° that is the half of the standard angle 45 and so on. So if θ is an angle, then the half angle is represented by θ/2.

Given,

Here we need to find if cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following.

sin(x/2), cos(x/2), tan(x/2).

According to the concepts in trigonometry,

We know that the following formulas.

=> sin(x/2) = √(1-cosx)/2

=> cos(x/2) = √(1+cosx)/2

=> tan( x/2)=sin x/1+cosx

Here we know that cos (x) = 5/6

Thus implies that 5 is the opposite and 6 is the hypotenuse, then the adjacent is

Therefore, we can calculate the value of the adjacent a as,

=> a = √(6²-5²)

=> a = √36-25

=> a= √11

Therefore the value of sin x= √11/6

So, the value of sin(x/2)= √(1 - 5/6)/2

And the value of cos(x/2)= √(1 + 5/6)/2

Finally, the value of tan(x/2)=√11/6/(√(1 + 5/6)

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Seth is planning a route for a train that travels at a constant rate of 220 kilometers per hour.
They want to write an equation that shows how many hours (t) a trip takes in terms of the trip's
distance (d).

Answers

t = d/220 is the equation that shows how many hours (t) a trip takes in terms of the trip's distance (d).

Define the relationship between distance, speed, and time.

Speed is calculated as follows: speed = distance/time. Calculating the units for speed requires knowledge of the units for both time and distance. Since the distance is measured in meters (m) and the time is recorded in seconds, the units in this example will be meters per second (m/s) (s).

Let the distance be d and the time is t.

The given speed of the train = 220km/hr

Time = d/speed

t = d/220

This is the equation that shows how many hours (t) a trip takes in terms of the trip's distance (d).

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Answer:  t=220/b

Step-by-step explanation: Khan Academy said so

Consider the equation below 5(3a - 1) - 2(3a + 2) = 3(a + 2) + v select two expressions that are equivalent to v

Answers

The two expressions equivalent to v are:

5*(3a - 1) - 2*(3a + 2) - 3*(a + 2) = v6a - 15 = v

How to find the two expressions equivalent to v?

Here we have the equation:

5*(3a - 1) - 2*(3a + 2) = 3*(a + 2) + v

And we want to find expressions equivalent to v, so to do that, we just need to isolate the variable v in one side of the equation, if we subtract:

3*(a + 2) in both sides we will get:

5*(3a - 1) - 2*(3a + 2) = 3*(a + 2) + v

5*(3a - 1) - 2*(3a + 2) - 3*(a + 2) = v

That is one of the equivalent expressions, to get the other, we can just simplify the left side.

5*(3a - 1) - 2*(3a + 2) - 3*(a + 2) = v

15a - 5 - 6a - 4 - 3a - 6 = v

Now we can group like terms:

15a - 6a - 3a - 5 - 4 - 6

6a - 15 = v

That is the other equivalent expression to v.

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what is the value of f(2) when given f(x)=4x+12

Answers

f(2) indicates that in order to solve the problem, we are going to plug in 2 in any spot that we see the variable x. we can then use pemdas to solve!
f(2) = 4(2) + 12
f(2) = 8 + 12
f(2) = 20

i hope this helps!
Please see the following solution attached.


If < 1 and <2 are complementary, and m< 1 = 42°, find m< 2.

Answers

Answer:

m< 2= 48°

Step-by-step explanation:

Complementary angles sum up to 90 degrees

We know that m< 1 = 42°

All we have to do is subtract 90 from 42 to find m< 2:

m< 2= 90 - 42

m< 2= 48°

Hope this answers your question :)

graph y= absolute value of 5x

Answers

The graph of the  absolute value function is attached below.

What is the absolute value function?

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

The absolute value measures the distance of a point x to the origin, hence, for example, |-4| = |4| = 0, and has vertex(turning point) at (0,0).

We have to grpah the absolute value function of y = 5x.

Thus, the function is linear function.

The graph of the function is attached below.

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Pratap Puri rowed 18 miles down a river in 2 hours, but the retum trip took him 4 hours. Find the rate Pratap can row in still water and find the rate of the current. Let x=rate Pratap can row in still water and y=rate of the current
What is the rate that Pratap rows in still water?

Pratap can row at a rate of____?
(Type an integer or a decimal)
in still water.

Answers

Rate Pratap can row in still water is 6.75 and Rate of current is 2.25

Step: 1

Let's y = speed of water and x = his speed of rowing in still water

Speed = Distance/Time (or)

Rate = Distance/Time

Step: 2

he row downstream in 2 hours

Rate in downstream = 18/2

Rate in downstream = 9

i.e.

x + y = 9

x = 9 - y ---(i)

Now, time taken by min to row in upstream = 4 hours

Rate in upstream = Distance/Time = 18/4

Rate in upstream = 4.5

i.e., x-y = 4.5 ---(ii)

Putting the value of x from equation (i) in equation(ii)

9 - y - y = 4.5

9 - 2y = 4.5

9 - 4.5 = 2y

y = 4.5/2

y = 2.25

Putting the value of y in equation (ii)

x - 2.25 = 4.5

x = 4.5 + 2.25

x = 6.75

x = Rate Pratap can row in still water = 6.75

y = Rate of current = 2.25

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Use the number line below, where RS


I need help with this please help me

Answers

Y=6
Rs=39
St=38
hope this is helpful

Sarah ran 7/8 of the distance around the school track. Jacob ran 2/3 of Sarah‘s distance what fraction of the total distance around the tractor Jacob run?

Answers

Jacob run 7/12 of the total distance around the school track.

What is distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Given: Sarah ran 7/8 of the distance around the school track.

Jacob ran 2/3 of Sarah‘s distance.

To find what fraction of the total distance around the track Jacob ran, we will find when solving 2/3 of 7/8 or symbolically

[tex](\frac{2}{3})(\frac{7}{8}) = \frac{14}{24} = \frac{7}{12}[/tex]

Hence, Jacob run 7 / 12 of the total distance around the school track.

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There is a pair of natural numbers whose sum is 52 and whose product is 667. The positive difference of their reciprocals is __

Answers

The positive difference the  numbers is given as 6.

What is the positive difference of their reciprocals ?

We are told here that there is a pair of natural numbers whose sum is 52 and whose product is 667. We have to make use of the idea of simultaneous equations to obtain the numbers.

Let the numbers be x and y thus we have;

x + y = 52 ---- (1)

xy = 667 ------ (2)

x = 52 - y ------ (3)

Substituting (3) into (2)

(52 - y)y = 667

52y - y^2 = 667

y^2 - 52y + 667 = 0

Solving the quadratic equation we have;

y=23 or y=29

The difference between the numbers then becomes 29 - 23

= 6

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Translate The product of the quotient of a and b and the quotient of c and d

Answers

The product of the quotient of a and b and the quotient of c and d is ac/bd.

What is a quotient?

In mathematics, a quotient simply means a quantity produced through the division of two numbers.

From the information, the product of the quotient of a and b and the quotient of c and d.

The product will be:

= a/b × c/d

= ac / bd

The product is ac/bd.

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Sam opened a money-market account that pays 4% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $560 in interest. How long did he keep his account open? A. 2 years B. 5 years C. 4 years D. 3 years
the answer is 2 years

Answers

Answer:2 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 2 years

A scale drawing of a rectangular bedroom is shown below. Using a scale of 1cm=4 feet, enter the actual area of the bedroom in square feet.

Answers

Answer:

Below

Step-by-step explanation:

Need the drawing but take the two cm measurements and multiply them together then multiply by 4   and then multiply by 4 again to get ft^2

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value tα/2​, ​(b) find the critical value zα/2​, or​ (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90 %, σ is not​ known, and the histogram of 52 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.

Answers

The correct statement regarding the critical value of the t-distribution is given as follows:

a) [tex]t_{\frac{\alpha}{2}} = 1.6753[/tex]

Which distribution should be used?

What defines which distribution should be used is whether the population standard deviation is known, as follows:

If the population standard deviation σ is known, then the z-distribution is used.If the population standard deviation σ is not known, then the t-distribution is used.

As stated in the problem, the population standard deviation is not known, hence the t-distribution is used, as the sample standard deviation can be calculated from the histogram.

The critical value is obtained using a t-distribution calculator, considering that:

The confidence level is of 90%.The amount of degrees of freedom, which is one less than the sample size, is of 52 - 1 = 51.

Hence it is given as follows:

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NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

x=-3.645 and x=1.645 is the solution for the given inequality.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

The given inequality is

y<x²+2x-6

a=1, b=2, c=-6

x=-b±√b²-4ac/2a

=-2±√2²-4(1)(-6)/2(1)

=-2±√4+24/2=

=-2±√28/2=

=-2+√28/2

=-2+5.29/2

=1.645

and -2-5.29/2

x=-3.645

Hence x=-3.645 and x=1.645 is the solution for the given inequality.

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What is does y = 3x - 4

Answers

Answer:

x = y/3 + 4/3

Step-by-step explanation:

Solve for x:

y = 3 x - 4

y = 3 x - 4 is equivalent to 3 x - 4 = y:

3 x - 4 = y

Add 4 to both sides:

3 x = y + 4

Divide both sides by 3:

Answer: x = y/3 + 4/3

Can anyone help?? Question is attached!

Answers

Answer:

9.37

Step-by-step explanation:

twelve surgeons

112.44 / 12 = 9.37

Answer:

$9.37

Step-by-step explanation:

112.44 ÷ 12

leo
toring
29
Due Dec 6 by 11:59pm
Question 13
Ch. 9 Quadratics Homework (Copy)
Score: 12/17 12/17 answered

The width or short side is
The length or long side is
Points 20
Submit Question
The length of a rectangle is 6 feet longer than it is wide. If each side is increased 6 feet, then the area is
multiplied by 2. What was the size of the original rectangle?
<
Submitting an external too

Answers

The width or short side is 12 feet

The length or long side is 18 feet

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares. The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some common units for measuring area include square cms, square feet, square inches, square meters, etc.

Let Width= x feet

so, as per question Length = x+6 feet

Area = Length x Width = x(x+6) = [tex]x^{2} +6x[/tex]

According to the question each side is increased 6 feet

New Length = x+12 feet

New Width = x+6 feet

New Area = Length x Width[tex]= 2x(x+6)[/tex] <the area is multiplied by 2>

Length x Width=[tex](x+6)(x+12) = 2x(x+6)[/tex]

x+12=2x

x=12 feet

so, original width = 12 feet

original length = 18 feet

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solve for each proportion

Answers

Answer:

r = 20/7

x = 13.5

Step-by-step explanation:

Hello!

7)

Solve for r by cross-multiplying:

[tex]\frac r2 = \frac {10}7[/tex][tex]r*7 = 10 * 2[/tex][tex]7r = 20[/tex][tex]r = \frac{20}7[/tex]

The value of r is 20/7.

8)

Solve for x by cross-multipying:

[tex]\frac 94 = \frac x6[/tex][tex]9*6 = 4*x[/tex][tex]4x = 54[/tex][tex]x = 13 \frac12[/tex]

The value of x is 13.5.

Answer:

7) r = 20/7 8) x = 27/2

Step-by-step explanation:

7) r/2 = 10/7, value of r?

→ r/2 = 10/7

→ r = (10/7) × 2

→ r = (10 × 2)/7

→ [ r = 20/7 ]

Hence, value of r is 20/7.

8) 9/4 = x/6, value of x?

→ 9/4 = x/6

→ x/6 = 9/4

→ x = (9/4) × 6

→ x = (9 × 6)/4

→ x = 54/4

→ [ x = 27/2 ]

Hence, value of x is 27/2.

How MANY THOUSANDTHS IN 0.1?

Answers

Answer:

100

Step-by-step explanation:

.001*100=.1

Answer:

100 thousandths

Step-by-step explanation:

select all the expressions equivalent to 4^10​

Answers

The expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

Some laws of exponents are:

(a²) · (a³) = a²⁺³ = a⁵(a²)³ = a²ˣ³ = a⁶(a²) ÷ (a³) = a²⁻³ = a⁻¹a⁻¹ = 1 / a

We need to find all the expressions equivalent to 4^10​.

We will use laws of exponents for all the options one by one.

Option A:

2^5 . 2^2 = 2^(5 + 2) = 2^7

This is not equivalent to 4^10​.

Option B:

2^10 = 2^(2 * 10) = (2^2)^10 = 4^10

This is equivalent to 4^10​.

Option C:

4^4 . 4^6 = 4^(4 + 6) = 4^10

This is equivalent to 4^10​.

Option D:

4^7 . 4^-3 = 4^(7 + (-3)) = 4^4

This is not equivalent to 4^10​.

Option E:

4^4 / 4^-6 = 4^(4 - (-6)) = 4^10

This is equivalent to 4^10​.

So, 2^20, 4^4 . 4^6, and  4^4 / 4^-6 are equivalent to 4^10​.

So, option B, option C, and option E are correct.

Thus, the expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

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Find the scale of a map if 4.2 cm on the map corresponds to an actual distance of 6.2 km.

Answers

Answer:

  21/3100000 ≈ 1/147619

Step-by-step explanation:

You want the scale of a map on which 4.2 cm corresponds to an actual distance of 6.2 km.

Scale

The scale of a drawing is the ratio of drawing distance to actual distance. It can be expressed a couple of ways. We can write the given scale as ...

  4.2 cm : 6.2 km

or, we can reduce it to ...

  2.1 cm : 3.1 km

Often, we like to have a single unit of map distance in this ratio, which would make it be approximately ...

  1 cm : 1.47619 km

Fraction

Another way to write the scale of a map is as a fraction.

  (4.2 cm)/(6.2 km) = (0.042 m)/(6200 m) = 21/3100000

When this is expressed as a unit fraction, the denominator is a repeating decimal with a 6-digit repeat. We can round it to ...

  ≈ 1/147619 . . . . map scale

The scale of the map is ...

  21/3100000 ≈ 1/147619   or   2.1 cm : 3.1 km   or   ≈ 1 cm : 1.47619 km

__

Additional comment

You may need to round the answer to match one of your answer choices.

<95141404393>

For a $250,000 mortgage, with an interest rate of 6% paid over 25 years, the monthly payment is $1,610.75. After one month, what is the balance of the loan?
Round your answer to the nearest dollar.
Do NOT round until you calculate the final answer.

Answers

The balance on the loan after a month is $623389.25.

How to calculate the interest?

The following can be deduced from the information given:

Principal = $250000

Time = 25

Rate = 6%

Interest = (Principal × Rate × Time) / 100

Interest = (250000 × 6 × 25) / 100

Interest = $375000

The total amount will be:

= Principal + Interest

= $250000 + $375000

= $625000

The balance of the loan will be:

= Amount - One month payment

= $625000 - $1,610.75

= $623389.25

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This table gives a few (x, y) pairs of a line in the coordinate plane.
x
Y
-54
-21
-40
-14 -26
- 28
What is the y-intercept of the line?

Answers

The y-intercept of the line is y = 2

What is an intercept?

A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Here,

A linear function has the following equation:

y = mx + b

Where m is the slope and b is the y-intercept, which is the value of y when x = 0.

We have given three points:

(-28, -54)

(-21, -40)

(-14, -26)

We use two of them to construct a system, to find values for m and b.

(-28, -54)

This means that when x = - 28 , y = - 54

so, y = mx + b

- 54 = - 28m + b

28m = b + 54

m = (b + 54)/28

Now, we have x = -21, y = -40

so, y = mx + b

- 40 = - 21m + b

we put the value of m here

- 40 = - 21 {(b + 54)/28} + b  we get,

7b - 1134 = - 40 × 28

b = 2

Hence, the y-intercept of the line is y = 2

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Answer:

(0,2)

Step-by-step explanation:

khan academy

Can you please help me

Answers

How to graph an absolute value function?

First, find its vertex.Second, find its x-intercepts,Third, connect the vertex with the x-intercepts.

Step 1

How to find the vertex?

The general form of an absolute value function:

y = a|x - h| + k, where (h, k) is vertex and a - coefficient

Given function is:

y = |x + 3| - 2

Its vertex is (- 3, - 2), this is our first point to plot, point A.

Step 2

How to find x-intercepts?

Set y = 0 and solve for x:

|x + 3| - 2 = 0|x + 3| = 2x + 3 = 2 and x + 3 = - 2x = - 1 and x = - 5

So the x-intercepts are ( - 5, 0) and (- 2, 0), points B and C.

Step 3

Connect the vertex (- 3, - 2) with points ( - 5, 0) and (- 2, 0) and here is your graph.

A book sold 41,900 copies it’s first month of release. Suppose this represents 9.2% of the number of copies sold to date. How many copies have been sold to date? Round your number to the nearest whole number.

Answers

455,435

Do you want the explanation?

Anita works a part time job where she makes 9.45$ per hour Anita’s gross pay for the current period is $238.61 her deductions include $28.63 for federal taxes 14.79 for social security 3.46 for Medicare 10.14 for state taxes . How many hours did Anita work and what was her net pay ? Anita works 31 hours next week what is her gross pay total amount of deductions and net pay assuming the same percentage is taken out for each deductions during the next pay period ?

Answers

For the gross pay of $238.61 and given deduction Anita's net pay is equal to $181.59 at the rate of $9.45 per hour and she works for 25.25 hours.

When Anita works for 31 hours with the given conditions her gross pay and net pay is equal to $292.95 and $235.93 respectively.

As given in the question,

a. Anita get pay per hour = $9.45

Gross pay received by Anita = $238.61

Deductions :

Federal tax = $28.63

Society tax : $14.79

Medicare : $3.46

State tax : $10.14

Total deduction = $ ( 28.63 + 14.79 + 3.46 + 10.14 )

                          = $57.02

Net pay = Gross pay - total deduction

             = $ ( 238.61 - 57.02 )

             = $ 181.59

Let us consider Anita works for 'h' hours at the rate of $9.45,

9.45h = 238.61

⇒ h = 238.61/ 9.45

⇒ h = 25.25 hours

b. When Anita works for 31 hours

Her gross pay = 31 × 9.45

                       = $ 292.95

Deductions are same

Net pay = $ ( 292.95 - 57.02 )

            = $ 235.93

Therefore, for the gross pay of $238.61 and given deduction Anita's net pay is equal to $181.59 at the rate of $9.45 per hour and she works for 25.25 hours.

When Anita works for 31 hours with the given conditions her gross pay and net pay is equal to $292.95 and $235.93 respectively.

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Which set of fractions is ordered from least to greatest?
A) 5/8, 8/12, 3/4
B) 8/12, 5/8, 3/4
C) 3/4, 5/8, 8/12
D) 5/8, 3/4, 8/12

Answers

The arrangement of the fraction from least to greatest is A. 5/8, 8/12, 3/4.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator, as well as the denominator, are both integers

The fraction can be changed to percentage to make it easier.

5/8 = 5/8 × 100 = 62.5%

8/12 = 8/12 × 100 = 66.7%

3/4 = 3/4 × 100 = 75%

The arrangement is 5/8, 8/12, 3/4.

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The sum of four consecutive numbers is thirty-two. Find the largest number. (show work)

Answers

9.5 is the largest number

Consecutive numbers are the number will follow each other in order.

The difference between every two numbers is one. if n is the number so, the consecutive number will be n+1,n+2 , . . . . . .

Let four consecutive numbers be a , a+1 , a+2 , a+3

where a+3 will be largest number

Given the sum of these is 32

a + a +1 +a + 2 + a +3 = 32

=> 4a + 6 = 32

=>4a = 26

=> a= 26/4

=> a = 6.5

putting the values,

consecutive number will be = 6.5 , 7.5 , 8.5 , and 9.5

9.5 is the largest number

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I really need help 30 pointssss

Answers

Answer:

2nd one is the best division

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Please help me out dont answer if you dont know I would really appreciate it ;)What is the simplified version of each expression? Assume all variables are positive Why is mary warren afraid of telling the truth about abigail, for herself and for john?. I need help please!! Consider a circle whose equation is x2 + y2 2x 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x 1) + y = 3. The radius of this circle is the same as the radius of the circle whose equation is x + y = 9. which political party is known for its strong environmental policy positions? Kyle starts a fundraiser with 43 pennies. He recruits all of the players on his baseball team to participate. His goal is to triple the number of pennies each day. Assume Kyle meets his daily goal.Use x to represent the number of days and y to represent the total number of pennies.Enter an equation in the box that represents this scenario. onlinesales uses an e-agent to take a purchase order from a consumer over the internet. the e-agent fails to provide an onscreen confirmation of the order. the effect of any error in the order can be avoided by Gary and Kathy's restaurant bill comes to $35.50. They are planning to tip the waiter 20%. How much money will they pay including the tip? Now that you have converted a terminating decimal number into a fraction, try converting a repeating decimal number into a fraction. Repeating decimal numbers are more difficult to convert into fractions. The first step is to assign the given decimal number to be equal to a variable x, For the decimal number 0.3 that means x=0.3 if x=0.3 what does 10x equal? if 2.00L of a 0.032M Li2O solution has the water evaporates, what mass of Li2O would remain Mary borrowed $12,000.00 for starting a bakery shop at $11.5% per year at simple interest. What is the amount of money that she yas to pay at the end of 3 yesrs to clear her debt ? The amount of chlorine needed to treat a wimming pool i directly proportional to the volume of the pool steve and stacey have been a couple for 30 years. their love is characterized by warm feelings and deep affection for each other. they enjoy spending time together and describe themselves as sometimes lovers and always best friends. psychologists would say that steve and stacey's love is best described as What did the king krum call the royal math and science teacher in general, what position has the supreme court taken on the government's right to compel reporters to divulge information concerning the commission of a crime? what is the responsibility the children have to each other ? the man in the well the nurse is preparing to administer an intramuscular injection of vitamin k to a newborn. the nurse will ensure the amount per injection is within which range? In no less than 75 words, explain how one can say that Homer treats his audience and readers with hospitality when he uses repetition in his text. Use an example from the story to establish your point. After one year of operation, jake and rolando learned that several top athletes were driving to a larger town to receive similar services. In order to learn about the potential customers who were going elsewhere for service, jake and rolando proceeded to look online to determine how competitors services differed from theirs. They learned that competitors were open longer hours on weekends and even had celebrity endorsements. The new information they gathered and its interpretation was the __________ part of the marketing research process. A Mazda traveled 326 miles in 7 hours and a Ford Explorer traveled 230 miles in 5hours. Which car was traveling faster? Justify your work.