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Point R is on line segment QS. Given QR = 4, QS = 4x, and RS = 5x – 9,
determine the numerical length of RS.
Answer: RS

Answers

Answer 1

The numerical length of RS is 16.

Given, Point R is on line segment QS.

A line segment in geometry has two different points on it that define its boundaries. A stretch of a line that connects two locations is frequently referred to as a line segment. A line has no ends and can continue indefinitely in either direction, which is how it differs from a line segment.

QR = 4 , QS = 4x and RS  = 5x ₋ 9

we know that,  QS ₊ RS = QR

⇒ RS = QR ₋ QS

⇒ 5x ₋ 9 = 4x ₋ 4

unknown items move to the left of the equal sign and known items move to the right of the equal sign.

5x ₋ 4x = 9 ₋ 4

x = 5

therefore, RS = 5x ₋ 9

= 5(5) ₋ 9

= 25 ₋ 9

= 16

hence we get the length of RS as 16.

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Related Questions

Name a point that is collinear with the given points.

Answers

Answer: Three or more points that lie on the same line are called collinear point.

Example : the points A, B and C lie on the line m. They are collinear

Step-by-step explanation: i really hope this helps somehow  (: btw lmk if i am wrong


A = 1/4 0b^3c
need this rn algebra 1 will give a lot of points

Answers

Answer: c=[tex]\frac{4A}{b^3}[/tex]

Step-by-step explanation:

A = 1/4b^3c

A*4=4*1/4b^3c

4A=4/4b^3c

4A=b^3c

c=4A/b^3

c=[tex]\frac{4A}{b^3}[/tex]

Which letter is at position (1, 3)?
OA. S
OB. M
OC. U
OD. N

Answers

Answer:

u has position brobjdidiodd

determine whether the data described are discrete or continuous. relative humidity levels in operating rooms at local hospitals.

Answers

The data for relative humidity levels in operating rooms at local hospitals must be continuous.

For given question,

Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.

These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.

Variables in these data sets often carry decimal points.

When values in a data set are countable and can only take certain values, it is called discrete data.

In this question,

we need to find the type of data for relative humidity levels in operating rooms at local hospitals.

The data records of relative humidity levels carry decimal points.

Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.

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What type of evidence is needed for a hypothesis to be supported or not supported.

Answers

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Hypothesis:

Hypothesis is a statement which can be proved or disproved. It is a statement capable of being tested. Based on the results of the test case, we have identified the type of it.

Given,

Here we needed to find the type of evidence is needed for a hypothesis to be supported or not supported.

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Observational evidence is ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it.

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The Nile river is 4,160 miles long.the Amazon river is 25/26 as long as the Nile river.how long is the Amazon river

Answers

Step-by-step explanation:

Multiple the ratio by Nile river distance

Marko can bike at an average speed of 534 minutes per mile. He bikes at this speed for 8614 minutes.

How many miles does Marko bike?

Answers

Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

I need help with decimals asap 100 points

need help fast

Answers

Answer:

f. 8.0

g. 34.4

h. 83.8

i. 121

j. 35.2

Step-by-step explanation:

f. 4.1 + 3.9 = 8.0

g. 23.1 + 7.6 + 3.7 = 34.4

h. 53.2 + 3.1 + 27.5 = 83.8

i. 11.1 + 17.3 + 92.6 = 121

j. 24.1 + 7.9 + 3.1 = 35.2

Given AB where A (3,4) and B (-1,-2), translate left 2 and up 1, then rotate 90 degrees clockwise about the point C(1,3). Graph and list the coordinates of A"B"

pls help urgently!!!!

Answers

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

What are the coordinates of the image of a line segment?

In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:

A'(x, y) = (3, 4) + (- 2, 1)

A'(x, y) = (1, 5)

B'(x, y) = (- 1, - 2) + (- 2, 1)

B'(x, y) = (- 3, 1)

Second, determine the coordinates of the ends of the line segment by using the rotation formula:

A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)

A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))

A''(x, y) = (1, 3) + (2, 0)

A''(x, y) = (3, 3)

B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)

B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))

B''(x, y) = (1, 3) + (- 2, 4)

B''(x, y) = (- 1, 7)

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

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help with intergration​

Answers

Separate the variables.

[tex]\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx[/tex]

Expand the right side.

[tex]dy = (x^2 - 3x) \, dx[/tex]

Integrate both sides. On the right side, use the power rule on each term.

[tex]\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C[/tex]

Given that [tex]y=3[/tex] when [tex]x=2[/tex], solve for [tex]C[/tex].

[tex]3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3[/tex]

Then the particular solution is

[tex]\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}[/tex]

you would like to investigate whether smokers are more likely than nonsmokers to get lung cancer. you take the students in your class, select half at random and tell them to smoke a pack of cigarettes each day, and you tell the other half not to ever smoke. fifty years from now, you will analyze whether more smokers than nonsmokers got lung cancer. is this an experiment or an observational study? experiment observational study summarize at least three practical difficulties with this planned study.

Answers

The following given task is an experiment.

What do we mean by an experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.

So,

The following given task is an experiment.

Telling someone to start smoking a pack of cigarettes every day endangers their health. The other half, who are told not to smoke, may do so at their leisure. In the end, it will be difficult to track who smoked and who did not over the course of 50 years, and whether they did so consistently.

Therefore, the following assignment is an experiment.

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I dont understand how to do this.

Answers

Triangle ABD = Triangle CBD so Angle ADB = Angle CDB
So
7x=49
x=7

how do I turn this into an equation to solve for x

Answers

To solve the for x the equation will be   3x° = 80° - x° and the value of x is 20°.

When two or more lines meet at a common point it is known as  intersecting lines.

According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.

Let the first angle be given as ∠A and the second angle be given as ∠B.

The measure of angles given to us are :

   ∠A = 3x°  and  ∠B = (80 - x)°

We know that when two lines intersect then the vertically opposite angles are equal, that is

              ∠A = ∠B

Putting the required values we get

            3x° = 80° - x°

            4x° = 80°

              x = 20°

Hence the value of x = 20°. Thus the measure of ∠A = 60°  and ∠B = 60°

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Drag and drop the range of each data set into the boxes

Answers

The range of data set 1 is 20 and the range of data set 2 is 25.

From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.

The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.

What is the range?

In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.

From data set 1:

Highest observation = 40 and lowest observation = 20.

So, range = 40-20=20

From data set 2:

Highest observation = 60 and lowest observation = 35.

So, range = 60-35=25

Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.

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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
R(-6,4), S(-2,-2), T(2,4)

Answers

The triangle with vertices located at R(-6 , 4), S(-2 , -2), T(2 , 4) has its centroid located at (-2 , 2).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) = R(-6 , 4)

Point 2(x2 , y2) = S(-2 , -2)

Point 3(x3 , y3) = T(2 , 4)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(-6 + -2 + 2)/3 , (4 + -2 + 4)/3]

C(x ,y) = (-6/3 , 6/3)

C(x ,y) = (-2 , 2)

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Solve the question below.

Answers

The feet that he descended in 8 hours will be 135168 feet.

How to calculate the value?

From the information, it was stated that the the hiker hikes at a rate of 3.2 miles per hour.

Therefore, the number of miles after 8 hours will be:

= 8 × 3.2

= 25.6 miles

It should be noted that 1 mile = 5280 foot

Therefore, this will be:

= 25.6 × 5280

= 135168 feet

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a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$⁢73.10 and standard deviation of $16.01$⁢16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.

Answers

Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

What do you mean by the term Repair cost?

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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Evaluate the expression 11-8 on top and on bottom is 1+7•2

Answers

Answer:

1/5

Step-by-step explanation:

because 3/15

Hey there!

(11 - 8)/(1 + 7 * 2)

= (3)/(1 + 14)

= 3/15

≈ 3 ÷ 3 / 15 ÷ 3

≈ 1/5

≈ 0.2


Therefore, your answer should be:

1/5 or 3/15


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A yacht is sailed from A to B on a bearing of 196ºT. To sail from B directly back to A the true bearing would be:​

Answers

Answer: 016T (don’t forgot the degrees symbol between 6 and T)
Let’s express that problem into a diagram for visualisation purposes. In this case, finding the true bearing directly back to point A is denoted by theta.
How can we find theta. Well notice that we can create a right angle triangle. We know that the sum of the angles inside the triangles add up to 180 degrees. Since the triangle we created is a right angled one, we know one of the angles is 90 degrees for sure. So we only need one more angle to go and do some algebra to find theta.
Now we know that the boat sailed on a true bearing of 196 degrees. Let’s split that so that we can create a supplementary angle with x. Since one quarter is 90, that means the other remaining angle will be 106 degrees:
X + 106 = 180 (supplementary)
X = 74
There’s our second angle. Now let’s solve for theta.
180 = 74 + 90 + θ (angle sum in triangle)
180 = 164 + θ
180 - 164 = 180 - 164 + θ (isolate θ by subtracting 164 from both sides; since we do it to both sides, it does not imbalance the equation)
θ = 16

If yacht is sailed from A to B on a bearing of 196ºT, the true bearing to sail directly back to point A from point B is 16° T.

To determine the true bearing from point B back to point A, we need to consider the relationship between true bearings and the reciprocal direction.

Given that the yacht is sailed from point A to point B on a bearing of 196° T (True), the reciprocal direction would be the opposite direction, 180° away on the compass.

Thus, to sail directly back to point A from point B, we would need to subtract 180° from the reciprocal direction.

Reciprocal direction - 180°

Therefore, the true bearing from point B back to point A would be:

196° T - 180° = 16° T

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A 20-pound bag of fertilizer costs $19.60. What is the cost per pound?

Answers

Answer:

563$ and me for some change

Step-by-step explanation:

$0.98 per pound because of you divide $19.60 by 20 you get the answer of 0.98

What is the solution to the equation below? 4+square root of x =10

Answers

X is equal to 36 …………….

Name all the line segments that are skew to line segment BF. Select all that apply.

Answers

Using it's concept, the skew lines to segment BF are given as follows:

CD, GH, AC, and EG.

What are skew lines?

Skew lines are lines that share these two features:

They are not parallel.They do not intersect.

For this problem, the parallel lines to BF are:

CG, AE and DH.

The intersecting lines with BF are:

AB, BD, HF, and EF.

Hence the skew lines are:

CD, GH, AC, and EG.

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How many lengths of wire, each are 3 7/8 inches long , can be cut from a 25ft roll?

Answers

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

Given,

The total length of the roll =25 foot

Length of each wire = [tex]3\frac{7}{8}[/tex] inches

First we have to convert mixed fraction to simple fraction

[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches

Convert foot to inches

25 foot = 25×12 =300 inches

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire

=300÷[tex]\frac{31}{8}[/tex]

=77.41

≈77

Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

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Tammy earns 51 dollars per week working part time at a book store. She makes one dollar more for each book that she sells. The amount, A(in dollars), that Tammy earns in a week If she sells b books is given by the following function A(b)= 51+bHow much does Tammy earn in a week if she sells books?

Answers

50 hours after work hours for a month of work hours after your home can be ready at home to be ready at home for you

PLS HELP DUE TODAY 100 PTS
Henry and Emma want to buy a total of 1.5 yards of fabric. the fabric costs $7.32 per yard. how much will each pay if they want to split the cost evenly? $5.49 $2.75 $10.98 $21.96

Answers

answer:

a. $5.49

explanation:

1.5 yd x $7.32 = $10.98

$10.98/ 2 people = $5.49

Answer: A. $5.49

Step-by-step explanation:answer:

explanation:

1.5 yd x $7.32 = $10.98

$10.98/ 2 people = $5.49

1. Seekor ikan berenang pada kedalaman 25 meter dibawah permukaan air. Kemudian ikan itu berenang naik sejauh 8 meter. Seekor burung bertengger di atas pohon dengan ketinggian 3 meter di atas tanah. Jarak antara burung dengan ikan adalah?
A. 8 meter
B. 14 meter
C. 16 meter
D. 20 meter

2. Seekor cicak berada pada tembok dengan ketinggian 30 meter, lalu tergelincir sejauh 2 setiap menitnya. Berapa meter Cicak setelah 6 menit?
A. 20
B. 19
C. 18
D. 17​

Answers

Answer:

1.D

2.C

Step-by-step explanation:

1. 25 meter - 8 meter = 17 meter

17 meter + 3 meter = 20 meter

2. 2 × 6 = 12

30 - 12 = 18

Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-4,-5) (0,5)

Answers

The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.

We are given the two points:

( − 4 , - 5 ) and ( 0 , 5 )

We need to find the distance between the two points.

The formula for distance is given as:

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values, we get that:

Distance = √ ( 0  + 4 )² + ( 5 + 5)²

Distance = √ ( 4 )² + ( 10 )²

Distance = √ 16 + 100

Distance = √ 116

Distance = 2 √29 units.

Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.

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(2.3 x 105)(1.5 x 104) in scientific notation plssss ASAP

Answers

By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

Given that,

(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)

By using scientific notation

The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.

Now, we calculate

(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000

(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000

Now,

=230000[tex]\times[/tex]15000

=3450000000

=345 [tex]\times[/tex]10⁷

Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

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Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. zero: 1, multiplicity: 2 zero: 2, multiplicity: 2 degree: 4

Answers

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x-0)^2

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

The leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x)^2-------(2)

So the polynomial for the conditions given in the question is expressed as

y(x)=1*(x-2)^3(x)^2

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Becky feeds her cat 55 g of cat food per day. About how many ounces of cat food will she feed her cat in 4 weeks? {1 oz ≈ 28.3 g}



13.6 oz


54.4 oz


1.9 oz


220 oz

Answers

The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz

How to determine the number of feet?

The given parameters are

1 oz = 28.3 g

1 day = 55 g

For 4 weeks, the amount would be

1 * 7 * 4 days = 55 g * 4

So, we have

28 days = 1540 g

Rewrite as

4 weeks =1540 g

Recall that 1 oz = 28.3 g

So, we have:

4 weeks = 54.4 oz

Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz

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decisions regarding logistics and managing the supply chain take place within the element of the marketing mix. A nurse is talking with a young adult client who has a family history of osteoporosis. which health promotion activity should the nurse recommend? The lease is appropriately classified as a sales-type lease. assuming the interest rate for this lease is? an investor coming from USA want to set up a state of art in your country, your are applying as a CEO of that company during the interview your are ask to convince the investor that the factors of demands favoring the investment rates of change in naturalistic psychotherapy: contrasting dose-effect and good-enough level models of change Christopher Columbus portrayed the indigenous people as : A. hostile to christianity B. gentle and naive C. wealthy with material goods D. uninterested in him and his crew Read the excerpt from "The Seven Voyages of Sindbad the Sailor. "Oh!" replied Sindbad, "do not imagine that I am so unjust as to blame you. On the contrary, I understand your situation and can pity you. Only you appear to be mistaken about me, and I wish to set you right. You doubtless imagine that I have acquired all the wealth and luxury that you see me enjoy without difficulty or danger, but this is far indeed from being the case. I have only reached this happy state after having for years suffered every possible kind of toil and danger.Which details from the text best support the central idea? Select two options."You appear to be mistaken about me.""Do not imagine that I am so unjust as to blame you.""I wish to set you right.""I understand your situation and can pity you.""I have acquired all the wealth and luxury that you see me enjoy.". what is the slack time for activity e? taskpredecessordurationearly startearly finishlate startlate finish a--8 ba14 ca238 dc, b62326 ec32 fd, e3238 You are interviewing for an internship with an investment firm. They ask you to come up with the price to charge on a security that makes growing annual payments for 10 years. The first payment is one year from today in the amount of $100 and it grows at 2% per year. The investment firm thinks potential investors have a required return of 9% per year. What is the highest price investors would be willing to pay for this security?. A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.A: 1.4 metersB: 4.3 metersC: 6.3 metersD: 14.2 meters Those who emphasize learning and experience in perceptual development are called? w + 5w + 4 = 3(2w 1) 3. juan lies on the ground 45 feet from his tent. the tent is 400 feet from the base of a tall cliff. both the top of the tent and the top of the cliff are in his line of sight. if juan's tent is 10 feet tall, how tall is the cliff? Question 5 of 10What can an author do to force the reader to read more slowly and to causethe story's action to slow down as well?A. Use long and complex sentencesB. Use similes and metaphorsC. Use symbolism and strong imageryD. Withhold information from the reader According to general electric stratergy grid, an opportunity which is low on the business shrenght dimension but high on thr industry attractiveness should be? Question 1: consider a metal rod of uniform temperature. is it possible that heat spontaneously flow from one end of the rod to the other end so that the two ends of the rod have different temperatures in the end? why? (3 points) Bob is hungry and turns down food on hand and instead decides that a hamburger will satisfy him. the hamburger is an example of a(n)? For consumers with an income around $50,000 a year, you can expect the price elasticity of demand to be more elastic for a $20,000 ski boat than for a $1 roll of toilet paper. True or False You know the sum of -5 and another integer is a positive integer. What can you conclude about the sign of the other integer? What can you conclude about the value of the other integer. Explain. the arithmetic sequence 1, .25, blank, -1.25, blank