Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)

Given M||n, Find The Value Of X.t>m(7x-1)(9x+5)

Answers

Answer 1

Answer:

Step-by-step explanation:

-13m-or+t m(484m+63t)/63m


Related Questions

3 yards 5 feet 6 inches x 7=

Answers

Answer:

1218 inches

Step-by-step explanation:

First, let's make our numbers equivalent to a certain unit. Preferably inches, since we can't turn inches into yards or feet, but we can turn yards and feet into inches.

3 yards is 9 feet, which when multiplied by 12 (12 inches in a foot) is 108.

5 feet times 12 is 60 inches.

6 inches is 6 inches.

108+60+6 is 174

Multiply all that by 7 and you get your answer of 1218 inches.

Hope this helps!

What is the volume of a rectangle prism 8 inches long, 5 inches wide, and 2 inches high

Answers

Answer:

The volume equals 80 inches cubed.

Step-by-step explanation:

Volume = L x W x H.

So, in this case, the length is 8, the width is 5, and the height is 2.

So, Volume = 8 x 5 x 2.

8 x 5 x 2 = 80 inches cubed

One mile is equal to 5,280 feet. What is the sum of the lengths of all 18 holes on the golf course in miles?

Answers

Answer:

the answer would be 4 Miles.

explanation:

We already know that 5,280 feet equals 1 Mile, and so we divide-

21,120 divided by 5,280, and that equals 4.

hope that made sense! I’m not very good with wording things! :)

Answer:

4 miles

Step-by-step explanation:

5280 feet = 1 mile 21120 feet = 21120/5280= 4 miles

the possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the __

Answers

The possibility that experimental results are due to chance or some factor other than the experimental variable is measured by the p-value.

The p-value is a statistical measure that provides information about the likelihood of obtaining a particular result due to random chance or some factor other than the experimental variable. In experimental design, a null hypothesis is usually assumed, which states that there is no relationship between the independent and dependent variables. The p-value is then used to assess the strength of evidence against this null hypothesis.

A p-value is calculated based on the data obtained from an experiment and the assumptions of the statistical test used. It is a number between 0 and 1, and it represents the probability of obtaining a result as extreme or more extreme than what was actually observed, given that the null hypothesis is true.

To learn more about experimental results click on,

https://brainly.com/question/28463773

#SPJ4

Need help with my geometry homework grade due to

Need help with my geometry homework grade due to

Answers

The surface area of the base ball to the nearest whole number is 26 in²

What is surface area of a sphere?

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

learn more about surface area of sphere from

https://brainly.com/question/16519513

#SPJ1

rick and tina hiked at different constant rates. rick hiked 1/2 mile every 15 minutes or 1/4 hour. It took Tina 10 minutes to hike 1/4 mile. Find the distance each hiked in 1 hour.

Answers

Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

Learn more details about distance here:

https://brainly.com/question/15172156

#SPJ2

Which equation represents this number sentence?
Two more than one-third of a number is 8

Answers

Answer:

Step-by-step explanation:

One - third = 1/3

then:

one third of a number = a*1/3 = a/3

Then the equation that represents this sentence is:

2 + a/3 = 8

process:

a/3 = 8 - 2

a/3 = 6

a = 6*3

a = 18

Check:

2 + 18/3 = 8

2 + 6 = 8

1. What property is demonstrated by the following example: 3+1 = 1+3
2 points
distributive
associative
additive identity
commutative
Clear selection
2. Which property is displayed in the given example: 4(2-x) = 8 - 4x
2 points
distributive
associative
commutative
multiplicative inverse
Clear selection
3. Which of the following examples displays the additive identity property:
2 points
3+(1+2) = (3+1) + 2
3 + 0 = 3
3+1 = 1+3
3/1(1/3) = 1
Clear selection
4. Which property below is shown here: 32 + (x +2) = (32 + x) + 2
2 points
distributive
associative
additive identity
commutative
Clear selection
5) Which of the following is an example of an expression?
*
2 points

Option 1

Option 2

Option 3

Option 4
6) Translate: Thirteen less than twice a number
*
2 points

Option 1

Option 2

Option 3

Option 4
7. The following example is demonstrating which property: 4/1(1/4)=1
2 points
distributive
associative
commutative
multiplicative inverse
8) Which of the following best describes a monomial?
*
2 points
A algebraic expression with three terms
An algebraic expression containing exactly one term
A number that has more than two factors
An algebraic expression containing two terms.
9) Charlie was evaluating the expression below and made an error. In what line did he make his error? (unit 2 Integer review)
*
2 points
Captionless Image
(1) Line #1
(2) Line #2
(3) Line #3
(4) Line #4
10) Which number sets does "0" belong to? (Unit 1 Number sets review)
*
2 points
Rational ONLY
Real, Rational, Integer, and Whole Numbers
Real and Irrational Numbers
Real and Natural Numbers
11. Solve 2/3 divided by 0.8 (Unit 3 operations with rational numbers review)
2 points
2 1/2
5/6
2 2/5
0
12. Which expression below is an example of a binomial?
2 points
2x
2x + 2
2xy + x + 2
2xy
13. Which expression correctly simplifies the polynomial? 2x - 4 + 3x + 24
2 points
1x + 20
5x + 28
1x + 28
5x + 20
14. Which expression correctly simplifies the following expression? 2.5(3n + 3.6)
2 points
5.5n + 6.5
7.5n + 3.6
7.5n + 9.0
5.5n + 9.0
15. After you translate the following problem, which choice shows the negative 1 distributed correctly? Subtract (4m + 15) from (12m - 10)
2 points
4m +15 - 12m - 10
4m +15 - 12m + 10
12m - 10 - 4m + 15
12m - 10 - 4m - 15
16. Factor the following expression: 6x - 18
2 points
2(3x - 9)
3(2x - 6)
6(1x - 3)
9(3x - 2)
Submit
Clear form

Answers

Answer:

1:commutative

2:distribution

3:3+0=3

4:distributive

5:

A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 28%
28
%
of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 165
165
people on the alumni and supporters mailing lists. They receive monetary contributions from 36
36
people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.05
0.05
level of significance.
Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.

Answers

The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

How to obtain the test statistic?

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

\(\overline{p}\) is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?​

Answers

There were about ...
100-20=80
Then take 80/2=40
So you add 20+40=60
At the end you have 60 democrats and 40 republicans. And to be sure you can add 60+40=100.

The integrated curriculm mode, sometimes referred to as integrative teaching, is both a method of teaching and a way of organising the teaching programme so that many subject areas and skills provided in the curriculum can be linked to one another. Provide an example of how you, as the teacher, could use the content in Social Sciences as a vehicle for mathematical skills development.​

Answers

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

To learn more about : development

https://brainly.com/question/28324913

#SPJ8

the quotient of -9 and y

Answers

\(\huge\text{Hey there!}\)

\(\large\text{When you hear/see the word quotient in mathematics, think}\\\large\text{of its telling you to DIVIDE}\)

\(\large\text{So, that being said, your answer is: }\)

\(\boxed{\boxed{\mathsf{\bf -9 \div y\ \ or\ \dfrac{-9}{y}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

What is the answer to this?

What is the answer to this?

Answers

9514 1404 393

Answer:

  cot(θ) = 24/7

Step-by-step explanation:

A suitable calculator can answer this nicely.

__

Perhaps you're expected to remember relevant trig identities.

  tan(θ)^2 = sec(θ)^2 -1

  cot(θ) = 1/tan(θ)

__

  cot(θ) = 1/√(sec(θ)^2 -1)

  cot(θ) = 1/√((25/24)^2 -1) = 24/√(25^2 -24^2) = 24/√49

  cot(θ) = 24/7

What is the answer to this?

Choose the word or phrase that correctly completes the sentence.
Andrew wrapped his
sisters
sisteres'
sisters'
sister's
I don't know this yet.
present.

Answers

Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

Add:

\((9x + 7) + (x + 3)\)

Answers

\(\pink{\mathbb{\underline{QUESTION}}}\)

\({\bf{(9x + 7) + (x + 3)}}\)

\(\pink{\mathbb{\underline{SOLUTION}}}\)

\({\bf{(9x + 7) + (x + 3)}}\)

\({\bf{\implies9x + 7 + x + 3}}\)

\({\bf{\implies9x + x + 7 + 3}}\)

\({\bf{\implies10x + 10}\)

Hence, 10x + 10 is answer.

Choose the correct ray whose endpoint is B.

Choose the correct ray whose endpoint is B.

Answers

Answer:

The second option.

Step-by-step explanation:

The first option consists of a line that extends at both opposite sides to infinity, with no precise end.

The third option is a ray that has an endpoint of A, and extends to infinity towards B.

The fourth option is a line segment. It has two endpoints, B and A.

The second portion is a ray that has an endpoint B, and extends towards A in one direction, to infinity.

The answer is the 2nd option.

Jack has three slabs of beeswax (that weight 8.2lb, 8.1lb and 8.9lb) he planes to melt them and use all the wac to form 36 candles if all the candles are the same size and weight how many much will each candle weigh use reasoning to decide.

Answers

When jack melts the three slabs of beeswax he gets:

\(8.2+8.1+8.9=25.2\)

Then, to make 36 candles of the same size and weight, we divide 25.2 by that number:

\(\frac{25.2}{36}=0.7\)

therefore, each candle will weight 0.7 lb

7 + x + 2 = 9 + 3 Please help!

Answers

Answer:

x=3

Step-by-step explanation:

7+x+2=9+3

Step 1: Simplify both sides of the equation.

7+x+2=9+3

(x)+(7+2)=(9+3)(Combine Like Terms)

x+9=12

x+9=12

Step 2: Subtract 9 from both sides.

x+9−9=12−9

x=3

Answer:

x=3

Write an equation of the line that passes through a pair of points:
(-5, - 2), (4, 5)

Answers

Answer (assuming it can be written in slope-intercept form):

\(y = \frac{7}{9} x+\frac{17}{9}\)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\). Substitute the x and y values of the given points into the formula and solve:

\(m = \frac{(5)-(-2)}{(4)-(-5)} \\m = \frac{5+2}{4+5} \\m = \frac{7}{9}\)

So, the slope is \(\frac{7}{9}\).

2) Now, use the point-slope formula \(y-y_1 = m (x-x_1)\) to write the equation of the line. Substitute \(m\), \(x_1\), and \(y_1\) for real values.

Since \(m\) represents the slope, substitute \(\frac{7}{9}\) for it. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (\(y = mx + b\) format) and find the following answer:

\(y-(5) = \frac{7}{9} (x-(4))\\y-5 = \frac{7}{9} (x-4)\\y -5=\frac{7}{9} x-\frac{28}{9}\\y = \frac{7}{9} x-\frac{28}{9} +\frac{45}{9}\\y = \frac{7}{9} x+\frac{17}{9}\)

I’m a computer graphics design program, Mario created a segment with endpoints at ( 1, 5) and ( 7, 3). He then reflected the segment about a vertical line through the segment’s own midpoint. WHAT ARE THE COORDINATES OF THE ENDPOINTS OF THE NEW SEGMENTS?

A. (5, 1) and (3, 7)
B (7, 5) and (1, 3)
C. (7, 3) and (1, 5)
D. (5, 1) and (7, 3)

Answers

Answer:

B (7, 5) and (1, 3)

Step-by-step explanation:

the other answer is right about finding the midpoint :

((x1 + x2)/2, (y1 + y2)/2) = ((1+7)/2, (5+3)/2) =

= (8/2, 8/2) = (4, 4)

now, there is a vertical line through this point, and the original line segment is reflected across this vertical line.

reflections across vertical lines keep the y-values unchanged.

and the x distance of the original point to the midpoint is the same as the x distance of the reflected point to the midpoint.

after all, a reflection means a mirroring.

so, the mirror points are

(..., 5) and (..., 3)

about the x coordinates of distances:

1 to 4 = 3

4 to mirrored point = 3, 4 + 3 = 7.

7 to 4 = 3

4 to mirrored point = 3, 4 - 3 = 1.

so, the points are

(7, 5) and (1, 3)

An automobile uses 18 gal of fuel to go 570 mi. How many gallons are required to travel 870 mi?

Answers

27 gallons and some change

A study team was discussing how to multiply 6x^10 by 12x^2.
Andrea said, "The answer is 72x^20"
Bernard said, "No, the answer is 18x^20"
Carmen disagreed and said, "No, the answer is 72x^12"
Finally, Diego concluded, "You are all wrong. The answer is 18x^12"
Are any of these students correct? How do you know? Explain.

A study team was discussing how to multiply 6x^10 by 12x^2.Andrea said, "The answer is 72x^20"Bernard

Answers

The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

How to illustrate the exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

Learn more about exponents on

brainly.com/question/13669161

#SPJ1

8x-2y
10 xy
(if x = 4 and y=-7) what is this evaluation

Answers

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

The right answer will be 2xy • (4x-5y) ^^^

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x -8). What is
the slope-intercept form of the equation for this line?

Answers

The slope-intercept form of the equation of the line that passes through (8, 4) and (0, 2) is: \(y = \frac{1}{4}x + 2\)

Recall:

You can expressed the equation of a line in slope-intercept form as y = mx + b.slope = my-intercept = bEquation in point-slope form can be rewritten and expressed as y = mx + b

Given, \(y - 4 = \frac{1}{4}(x -8)\)

Rewrite in the form of y = mx + b

Thus:

\(y - 4 = \frac{1}{4}x - 2\)

Add 4 to both sides

\(y - 4 + 4 = \frac{1}{4}x - 2 + 4\\\\y = \frac{1}{4}x + 2\)

Therefore, the slope-intercept form of the equation of the line that passes through (8, 4) and (0, 2) is: \(y = \frac{1}{4}x + 2\)

Learn more here:

https://brainly.com/question/16732089

Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A. x = -9
B. X=-6
C. y=-9
D. y=-4

Answers

Answer:

B. x = -6

Step-by-step explanation:

Use a graphing calculator such as desmos and enter each equation, you'll find the only one that falls on (-6, -9) and is perpendicular is B.

Answer:

B. x = -6

Step-by-step explanation:

please help with this question i just need the volume

please help with this question i just need the volume

Answers

Answer: 4) 49 1/2  

5) 15

Step-by-step explanation:

To find volume you must use L x W x H.

4) 3 x 3 x 5.5= V

3 x 3 = 9

9 x 5. 5=  49.5

5) 2 x 2 x 3.75= V

2 x 2= 4

4 x 3. 75 = 15

Factor out the coefficient of the variable term.
4x - 20
Factored expression:

Answers

Answer:

\(4(x-5)\)

Step-by-step explanation:

The expression 4x - 20 has the greatest common factor (GCF) of 4.

\(4x-20\\4(x-5)\)

Therefore, the factored expression is 4(x - 5).

The coefficient of the variable for the expression 4x - 20 is found as 4.

What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.

For the given question,

The expression is given as;

4x - 20

where,

4 is the coefficient of the variable of the expression.

-20 is the constant in the expression.

Thus, the coefficient of the variable is found as 4.

To know more about the coefficient of the variable, here

https://brainly.com/question/1038771

#SPJ2

The triangular faces of the prism shown are equilateral triangles with a perimeter of 48 cm. Each of the other faces is a square. Find the surface area of the prism

The triangular faces of the prism shown are equilateral triangles with a perimeter of 48 cm. Each of

Answers

Answer:

222.4 cm

Step-by-step explanation:

16cm x 13.9 cm =222.4 cm

hope this helped! :D

Solve for x.

Show work

Solve for x.Show work

Answers

Answer:

x=11.34

Step-by-step explanation:

x / -5.4 = -2.1

Multiply -5.4 in both sides

x = 11.34

Have a good day ^^

A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the lighthouse.

Answers

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\(\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}\)

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\(\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64\)

Hence, the lighthouse is 34.64 m tall.

A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat
Other Questions
Mr. Clarkston has a box of colored beads containing 3 pink, 6 purple, 3 yellow, 4 gold, and 2 silver beads. If a student reaches into the box and removes a bead without looking, what is the probability of removing a bead that is purple?A) 5/6B) 1/3C) 2/3D) 1/6 which type of star is common in the spiral arms of our galaxy, and found almost nowhere else? Mario constructs a scale model of a building with a rectangular base. His model is 4.2 inches in length and 2 inches in width. The scale of the model is 1 inch = 15 feet.What is the actual area, in square feet, of the base of the building? help me on this math question and please include how you solved it If a = 5, b =2 , and c = 6 what is the answer to 4bc? What is the value of the expression below when y = 4?Answer:6y-7y+9Submit Answer you are planning to put $3,250 in the bank at the end of each year for the next eight years in hopes that you will have enough money for a down payment on a condo. if you are investing at an annual interest rate of 9%, you'll have accumulated at the end of eight years. a. $26,000 b. $35,843 c. $30,060 d. $28,340 Whats the answer to this question? (GIVING BRAINLIEST) Which statement best explains a weakness in the author's use of appeal inthe passage?A. The author should not have used the emotional appeal about hisanger because it distracts from his logical points.B. The author should not have used so much logic in his explanationbecause it distracts from his emotional points.C. The author should not have pointed out the weaknesses in thetraffic situation to people who are suffering because of it.D. The author should not have admitted that he drives in the citybecause it makes him seem biased. What must the person in charge do when a food handler? A warehouse worker uses a forklift to move boxes that weigh either 45 pounds or 70 pounds each. Let x be the number of 45-pound boxes and y be the number of 70-pound boxes. The forklift can carry up to either 60 boxes or a weight of 3000 pounds.The total number of boxes that a forklift can carry is???The total weight that the forklift can carry is ______ 3000 pounds.Greater than, Less than, or Equal toWrite an inequality that models the number of boxes the forklift can carry. The inequality should contain x, y, and an inequality sign.Write an inequality that models the amount of weight the forklift can carry. The inequality should contain x, y, and an inequality sign. determine the electric field inside a parallel plate capacitor in vacuum where one plate has a surface change density Why is over farming a threat to the health of humans? A. It decreases the use of fertilizer. B. It increases the production of food. C. It adds too many new nutrients to the soil. D. It removes too many nutrients from the soil. A stock just paid an annual dividend of $1.8. The dividend is expected to grow by 8% per year for the next 3 years. The growth rate of dividends will then fall steadily (linearly) from 8% after 3 years to 5% in year 6. The required rate of return is 12%. 1. What is the current stock price if the dividend growth rate will stay 0.05 (5%) forever after 6 years? 2. In 6 years, the P/E ratio is expected to be 23 and the payout ratio to be 80%. What is the current stock price when using the P/E ratio? Aurora is studying the level of structural organization of an animal body which level would describe a dog's eye A nurse is teaching the parents of a school-age child who is newly diagnosed with juvenile idiopathic arthritis. Which of the following interventions should the nurse include in the teaching?a. Have the child take a tub bath each morning.b. Encourage the child to take naps during the day.c. Apply splints to the child's extremities during the day.d. Keep the child on bedrest as long as pain persists. Lentre de la tombe tait couverte par qui ? Which part of the cardiovascular system does the term cardio refer to?a) pumpsb) blood cellsc) blood vesselsd) heart Which reasoning explains how tears keep pathogens out of the body?Group of answer choicesThey bind to specific antigens on a pathogens surface.They trap pathogens inside sticky membranes.They raise the bodys temperature to cause a high fever.They wash away pathogens from the face. About how many children under age 18 take medication for an acute pathology every day?One in fiveTwo in fiveThree in fiveFour of five