Un poste mide 150 centímetros y está pintado de azul, rojo y amarillo. La parte pintada de azul es 2/5 del poste, la parte pintada de rojo es 1/2 de la pintada de azul, y lo que resta está pintado de amarillo ¿cuánto mide cada parte?

Answers

Answer 1

A 150 cm post is painted in shades of azure, red, and amber. The blue portion of the post is two-fifths of the way up, the red portion is one-half of the blue portion, and the remaining portion is painted in amarillo. What does each part weigh?

71 forms

First, we'll determine how many different ways the five cubes may be arranged in a column using the multiplicand rule:

5 * 4 * 3 * 2 * 1 = 120

We have five cubes to place at the base of the column, four for the second position, three for the third position, and so on until all the cubes are organized.

Then we'll calculate how many different ways we may arrange the five cubes so that they'reBlue cubos twirl around one another. In this case, we would count the two blue cubes as though they were only one, which means that we would only have "4 cubes" and be able to arrange them in 24 different ways:

4 * 3 * 2 * 1 = 24

On the other hand, the two blue cubes can be arranged in one of two different ways: first the clear, then the dark, or first the dark, then the clear.

That is to say, there are 24 different ways to arrange the cubes so that the light comes on first and the dark follows, and there are 24 different ways to arrange the cubes so that the dark comes on first and the light follows.

This means that 48 of the 120 ways to organize the five cubes contain the cubes. 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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Related Questions

Evaluate the variable expression when a = 2 and c = −3. 2a − (c + a)2

Answers

the expression of the variable for a = 2 and c = 3. 2a − (c + a)2

2a+b^2 2a +b2

2(-3) +(-2)^2 2(-3) + (-2)

-6 +4 -6 -4

-2 -10

An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6 .

Either the options are incorrect, or the problem is poorly written.

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Please refer to the picture, thank you!!!

Answers

An equation that relates T to N can be written as T = 750 + 630N.

What is an equation?

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

What is a function?

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

How to write an equation relating T to N.

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 135N) + 495N

T = 750 + 135N + 495N

T = 750 + 630N.

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Complete Question:

Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

Brainliest, 5 star, & thanks.

The coordinates of the vertices of △PQR are P(4, −2) , Q(6, −4) , and R(8, 0) .

The coordinates of the vertices of △P′Q′R′ are P′(−4, 3) , Q′(−6, 5) , and R′(−8, 1) .

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Aisha wants to ride her bicycle 18.2 miles this week. She has already ridden 5 miles. If she rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles she would have to ride each day to meet her goal.

Answers

The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles (m) is 3.3 miles to ride each day to meet her goal.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Total distance of ride Alisha wants by her bicycle (d) = 18.2 miles.

And, She has already ridden 5 miles.

She rides for 4 more days.

Now, Let the average number of miles = m

She has already ridden 5 miles.

And, She rides for 4 more days.

The number of miles she needs to ride more is

18.2 miles  - 5 miles

= 13.2 miles

If m is the average number of miles she must cycle in 4 days to reach her objective,

Hence, we can formulate;

4m = 13.2

Divide both side by 4,

m = 3.3 miles

So, The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles is 3.3 to ride each day to meet her goal.

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The population of Nevada was 3.0 million in 2018 and 2.7 million. in 2010. Assuming an exponential model: (a) Write the population of Nevada in the form N = Noat, where N is the population of Nevada in millions, No and a are constants, and t is time in years since 2010. NOTE: Enter the exact answer for No. Enter an exact value for a or round to 4 decimal places. N(t) = = (b) What was the estimated population of Nevada in 2009? NOTE: Round your answer to 3 decimal places. The population in 2009 was approximately million people.​

Answers

the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

According to the question, we have the information that:

N = 3 million

No = 2.7 million

a = 8 years

Now, we need to find the exponential model for the given data.

Do putting the values in the equation to get the value of a, we have:

3 = 2.7 (a)^(8)

1.1111 = a^(8)

a = 1.0133

So, the exponential model will be:

N = 2.7 (1.0133)^(t)

Now, the estimated population in 2009 will be:

t = - 1

So, we get that:

N = 2.7 (1.0133)^(-1)

N = 2.7 / 1.0133

N = 2.6646 million

Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

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Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?

Answers

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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find the distance between the two points in simplest radical form. (2,6) and (7,-6)

Answers

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]

The price of a shirt has been discounted by $20. The sale price is $25.95. What percent of the original list price is the discount?

Answers

Answer:

that's like 77% off if im reading this right

Step-by-step explanation:

Express the following using the Roster Method.

O = {x|x∈ N and x is odd}

Answers

Step-by-step explanation:

the answer is o={3,5,79,11,13,15,17.....................}

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3000 grams and a standard deviation of 430 grams. If a 32​-week gestation period baby weighs 2900 grams and a 41​-week gestation period baby weighs 3200 ​grams, find the corresponding​ z-scores. Which baby weighs more relative to the gestation​ period?

Find the corresponding​ z-scores. Which baby weighs relatively more​? Select the correct choice below and fill in the answer boxes to complete your choice.
​(Round to two decimal places as​ needed.)
A. The baby born in week 41 weighs relatively more since its​ z-score, enter your response here​, is larger than the​ z-score of enter your response here for the baby born in week 32.
B. The baby born in week 41 weighs relatively more since its​ z-score, enter your response here​, is smaller than the​ z-score of enter your response here for the baby born in week 32.
C. The baby born in week 32 weighs relatively more since its​ z-score, enter your response here​, is larger than the​ z-score of enter your response here for the baby born in week 41.
D. The baby born in week 32 weighs relatively more since its​ z-score, enter your response here​, is smaller than the​ z-score of enter your response here for the baby born in week 41.

Answers

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Your instructor makes 5 cents per minute. How much does he makes in dollars if he works for 40 hours?

Answers

Answer: $120

Step-by-step explanation:

5 * 60 (5 cents every minute with 60 minutes in a hour makes 300 cents per hour)

300 * 40 (300 cents per hour multiplied by 40 hours makes 12000 cents)

12000 / 100 (12000 cents divided by 100 since 100 cents in a dollar)

120 is the answer

How do I find the area of a rectangle with three different side lengths.

Answers

Answer:

See explanation

Step-by-step explanation:

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

HELP PLEASE I WILL GIVE BRAINLYEST! ALGEBRA 1 HW




no brainlyest unless questions are fully answered​

Answers

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If the groub A= {-3} then IAI equals?

Answers

The value of given set in modulus function IAI = 3.

What is termed as modulus function?

A modulus function returns the magnitude of such a number regardless of its sign. It's also recognized as the absolute value function.

The modulus function, signified by |x| in mathematics, gives the modulus of such a real number x. It returns a non-negative value for x. The modulus as well as absolute value of a number too is known as the number's distance from the origin or zero.

The modulus function's value is always non-negative. That unless f(x) is a modulus function, we get:

For x is positive, the value of f(x) = xFor x = 0, the value of  f(x) = 0For x < 0, the value of f(x) = -x

Now, as per the given question;

Groub A= {-3}

Estimate the IAI

IAI = I-3I

By the property of modulus function.

IAI = 3 (absolute value)

Therefore, the value of IAI is 3.

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Alan found 444 marbles to add to the 555 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Which numerical expression shows the amount of marbles Alan has now?
Choose 1 answer:
Choose 1 answer:

Answers

The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

How to solve algebra word problems?

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

For runners in a race it is more desirable to have a high percentile for speed. A high percentile means a higher speed which is faster. 40% of runners ran at speeds of 7.5 miles per hour or less (slower). 60% of runners ran at speeds of 7.5 miles per hour or more (faster).

Answers

A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.

In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.

A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.

40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).

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In a baseball league consisting of 13 teams, each team plays each of the other teams twice. How many games will be
played?

Answers

Answer:

  156 games

Step-by-step explanation:

You want to know the total number of games when each of 13 teams plays every other team exactly twice.

Games

Each of the 13 teams will meet 12 others, for a total of 13×12 = 156 meetings.

This total counts the time team 1 meets team 2, and also the time team 2 meets team 1. In other words, this is exactly the game count we're looking for.

  156 games will be played.

__

Alternate solution

Team 1 will meet teams 2 through 13, for a total of 12 games. Team 2 has already met team 1, so will need to meet teams 3 through 12 for a total of 11 games. When we count all the games for one meeting between teams, we find the count to be 12 +11 +10 +9 +... +1 = (12)(13)/2 = 78.

If the teams are to meet twice, then 2 times this number of games will be played: 2(78) = 156.

The sum of integers 1 .. n is (n)(n+1)/2.

Find the domain. Y= 1-7x / 8-|3x-15|

Answers

The domain is written in the form { x : x ≠ 7/3 }

Given data

Y= 1-7x / 8-|3x-15|

How to solve for the domain

The domain refers to the values of x, from the equation we solve for the possible values that will not make the equation undefined.

For the equation to be undefined the denominator should be zero hence we solve for the value of x that will make the equation, to have a denominator equal to zero and the domain will be any other values of x except the value that gives the denominator equal to zero,

The denominator is 8-|3x-15|

solving for the value of x that gives the equation that makes the equation equal to zero

8-|3x-15| = 0

3x - 15 = -8

3x = -8 + 15

3x = 7

x = 7/3

The domain is written in the form { x : x ≠ 7/3 }

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Translate the quotation into symbolic form.
If you can count your money (p), you don't have a billion dollars (q). J. Paul Getty
p → q
p ∨ q
~q
q ↔ p
p ∧ q

Answers

The translated statements, in order, are:

"If you can count your money, then, you don't have a billion dollars""You can count your money or you don't have a billion dollars""You do have a billion dollars""You can count your money if and only if you don't have a billion dollars""You can count your money and you don't have a billion dollars"How to translate the symbolic form?

Here we have the proposition:

p = If you can count your money.q = you don't have a billion dollars.

And the symbols are:

→ = then.∨ = or~ = not↔ = if and only if ∧ = and.

Then each quotation is:

p → q

"If you can count your money, then, you don't have a billion dollars"

p ∨ q

"You can count your money or you don't have a billion dollars"

~q

"You do have a billion dollars"

q ↔ p

"You can count your money if and only if you don't have a billion dollars"

p ∧ q

"You can count your money and you don't have a billion dollars"

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i need an answer!! (marking as brainliest)

Answers

Answer: I hope this helps.

Step-by-step explanation:

Anais bought 5/2 yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Answers

Answer: The number of ribbons used to trim the Curtains are 72 inches.

Step-by-step explanation:

Let us convert all numbers into inches.

Then, 1 yard= 36 inches

Given data, 5/2yards

So, 5/2 yards means.,

5/2= 2.5 yards

We can write: 2.5yards=2.5x36inches

=90inches

We convert feet into inches

1feet=12inches

We consider 1feet=12inches

In this question she had 1feet 6 inches of ribbons left.

Then 1x12=12inches

More 6 inches: 12+6=18inches

Now subtract 18 inches from 90 inches to get the inches used to trim curtains

Then, 90inches-18inches=72 inches

Thus, the number of ribbons used to trim the Curtains are 72 inches.

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li has a jar full of marbles. In the jar there are 15bblue​ marbles, 10 red marbles and 16 purple marbles. a. She selects a marble at random from the jar. She does not replace the marble. She selects a second marble from the jar. What is the probability that both marbles are​ red? What is the correct interpretation of this​ question?

Answers

The probability that both marbles are​ red will be 0.055.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. The probability is given as,

P = (Favorable event) / (Total event)

A jar full of marbles is kept by Li. There are 16 purple marbles, 10 red marbles, and 15 blue marbles in the jar. A stone is chosen at random by her from the jar. She leaves the marble alone. She takes another stone out of the jar.

The total number of event = 16 + 10 + 15 = 41

Then the probability of both marble should be red will be given as,

P = (10 / 41) x (9 / 40)

P = 0.055

Thus, the probability that both marbles are​ red will be 0.055.

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A rectangular garden is to be constructed so that the width is 150 ft. What are the possible values for the length of the garden if
at most 1200 ft of fencing
is to be used?

Answers

The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.

It mean maximum value of perimeter = 1200ft

The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle

Therefore the minimum value of length of rectangle is 151 feet

The maximum perimeter is 1200ft

1200=2(150+length of rectangle)

Maximum value of the length of the rectangle=450ft

Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

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Which situation describes a non-proportional relationship?
The circumference of a circle with a radius of x units can be represented by y = 2zx.
The perimeter of an equilateral triangle with a side length of x units can be represented by y = 3x.
The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by
y = 2x + 2.
The radius of a circle with a diameter of x units can be represented by y=x.

Answers

Situation of non- proportional relationship :

The circumference of a circle with a radius of x units can be represented by = 2nx.

The perimeter of an equilateral triangle with a side length of x  units can be represented by y = 3x

The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x

The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]

a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.

When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.

The graph shows the sales tax charged based

on the amount spent at a video game store in

a particular city. Does the graph show a linear

relationship? Is the relationship proportional

or nonproportional?

The graph shows a linear proportional

relationship because it is a line that contains

the origin.

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55) Lenny has $3.69 in pennies,
dimes, and quarters. The number
of pennies is three more than
the number of dimes. The number
of quarters is twice the number
of dimes. How many each coin does
he
have?

Answers

Answer:

For each coin he has 6 dimes, 12 quarters, and 9 pennies.

How many subsets are there in A={x:x is letters of the alphabet}

Answers

The number of subsets formed is 67,108,864.

What is defined as the subsets?

Set 1 is said to be a subset of set 2 if all of its elements are present in it. A set is a clearly defined group of numbers, alphabets, items, or any other items.

If set 1 = A,B,C and set 2 = A,B,C,D,E,F, then set 1 is a subset of set 2 because all of the elements in set 1 are also present in set 2.A subset is a subset of a larger set (another set or the same set). To symbolize a set A as a subset of a larger set B, use the set notation:  A ⊆ B.

The number of subsets of an n-element set is 2ⁿ.

As a result, the formula for determining the number of subsets of the a set with 'n' components is 2ⁿ.

For the given question;

A={x:x is letters of the alphabet}

Thus, the n = 26 (total letter is English alphabet).

Total subsets = 2ⁿ

Total subsets = 2²⁶ =  67,108,864.

Therefore, the total number of subsets formed by the English alphabet are 2²⁶ =  67,108,864.

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The perimeter of a rectangle is 32 m. The length is 4 m more than two times the width. Find the length and the width of the rectangle.

Answers

The length of the rectangle is 12 meters and its width is 4 meters.

A rectangle is a four sided figure, whose opposite sides are equal and the angle formed by any two adjacent sides is 90 degrees.

Here, we are given that the perimeter of the rectangle is 32 meters.

Let the length of the rectangle be L and breadth or width be B

We known that perimeter of a rectangle = 2(L + B)

Now, it is given that the length is 4 m more than two times the width

⇒ L = 4 + 2B

Thus, the area of the perimeter will be-

Perimeter = 2(4 + 2B + B)

⇒ 32 = 2(4 + 2B + B)

32/2 = 4 + 2B + B

16 = 4 + 3B

16 - 4 = 3B

12 = 3B

or 3B = 12

B = 12/3

B = 4

Thus, the width of the rectangle is 4 meters.

Therefore, L = 4 + 2(4)

L = 4 + 8

L = 12

Thus, the length of the rectangle is 12 meters.

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Answer correctly and I’ll give brainlest

Answers

Answer: division property of equality

Step-by-step explanation:

1. Which statement correctly describes the perpendicular bisector construction below?

Answers

Answer:

option c is correct....

what are the two equations for 2x2−6x−9=0

Answers

Answer:

[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2} < - InsertQuadraticFormula[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:6\sqrt{3}}{2\cdot \:2}[/tex]
[tex]x_1=\frac{-\left(-6\right)+6\sqrt{3}}{2\cdot \:2},\:x_2=\frac{-\left(-6\right)-6\sqrt{3}}{2\cdot \:2} < - Separate THE Solutions[/tex]
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]

Other Questions
A study was performed with a random sample of 5 people from a certain city. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases? What is the descriptor for forms of social entrepreneurship that do not fit into the four-party typology? evaulate 5m+7 if m=5 what are the frequency of a photon with a wavelength of 360 nm. report your answers to three significant digits. The basis of strategic position through serving broad needs of few customers is known as:_____. Solve for XA- 68B- 2C- 17D- 34 One mechanism by which viral infections may increase the risk of cancer is __________. see section 18.3 (page 425) A client has had an exacerbation of hemorrhoidal irritation. what drug should the nurse suspect as most likely to contribute to this adverse effect? In theory, each branch of government has independent and distinct functions. this is a result of:________ John Ridge wrote to Stand Watie about his frustration with the Cherokee people who tried to make a deal with the US government, stating, As I have said before, we shall live to tread on the necks of traitors (4). Ridges language is severe.Which revision of the last sentence most effectively frames the quotation?Ridge is clearly concerned with identifying and punishing those he considers traitors.Ridge tries hard to convince Watie not to make a deal with the US government.Ridge has strong opinions about Cherokee people who try to make a deal with the US government.Ridges harsh language shows that he is not sympathetic to traitors and thinks they will be defeated. Select the correct answer. which activity provides the greatest reduction to the risk of disease-causing pathogens? a. laundering with cold water b. dusting c. mopping the floor with water and disinfectant d. polishing furniture e. sorting laundry If ten executives have salaries of $80,000, six have salaries of $75,000, and three have salaries of $70,000, what is the median salary? In the article, the study author recommends going on a "photo hunt." What was the purpose of this activity? Global marketers may devise creative solutions for getting their products to hard-to-reach consumers in developing countries. this type of solution is part of the firm's _____ strategy Exercise 1 Underline the verb in each sentence. In the blank, write T if the verb is transitive. Write I if the verb is intransitive. Quentin conducted the school jazz band during one number. just need the second one done please The primary purpose of paragraph 5 is - Poor listening is a leading reason that some people don't advance in their career.O TrueFalseASAP 2 MINUTES LEFT PLEASE The distance around track is 400 m if you take 14 more laps how much is total amount of distance The primary reason the nurse encourages a client with a spinal cord injury to increase oral fluid intake is to prevent which problem?