its easy but im lazy please helppppp

Its Easy But Im Lazy Please Helppppp

Answers

Answer 1

y=1/58x

because in 3 hours its 174 miles.

let y=miles

x=time

so 174y=3x

divide by 3 on both sides

58y=x

isolate y by dividing by 58 on both sides

therefore you get the answer


Related Questions

Please answer this
This is very hard for me and my friend

Answers

The value of x is 10.6 which is equivalent to 11.

In the given triangle

the triangle is divided into two triangles which are both right angled

However in the bigger triangle

we would use the Pythagoras Theorem

( y + 6 )² = x² + 100 ---------- equation 1

In the smaller triangle;

x² = y² + 64 --------------equation 2

Thus substituting the value of x in equation 1

Thus the equation becomes

( y + 6 )² = y² + 64 + 100

y² + 36 + 12x = y² + 164

Cancelling y² on both sides we will get

36 + 12x = 164

12x = 164 - 36

this implies 12 x = 128

x = [tex]\frac{128}{12}[/tex]

x = 10.6 ≈ 11

Thus the required value of x is 10.6 or 11

To know more about triangles or related problems you may visit the link which is mentioned below:

https://brainly.com/question/3770177

#SPJ13

Which of the following statements is true?
25 : 35 = 45 :55 =
105 : 30 = 49 : 64 =
45 : 48 = 60 : 64 =
2/3 : 7/9 = 3/4 : 5/6 =
4.2 : 12.6 = 1.5 : 4.5 =
12 : 18 = 28 : 12 =

Answers

Answer:

3

Step-by-step explanation:

45*64=2880

48*60=2880

Write equivalent fractions for 8/9 and 5/8 using the least common denominator.

Type the fractions, using a slash ( / ) to separate the numerator and denominator.

8/9 =

5/8 =

Answers

The equivalent fractions for 8/9 and 5/8 using the least common denominator are 8/9 = 64/72 and 5/8 = 45/72.

What is the Least Common Denominator?

The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD). The smallest number that may be used as the denominator to produce a group of comparable fractions that all have the same denominator is known as the lowest common denominator.

The given fractions are 8/9 and 5/8.

The denominators of these fractions are 8 and 9.

so Least Common Divisor(LCD) of 8 and 9 will be = 8 × 9

                                                                                   = 72.

so the equivalent fraction can be calculated as

for 8/9 = [tex]\frac{8*8}{9*8}[/tex]

           = 64/72

and for 5/8 = [tex]\frac{5*9}{8*9}[/tex]

                   = 45/72

Hence, the equivalent fractions are 64/72 and 45/72.

To learn more about equivalent fractions using the least common denominator of the function visit,

https://brainly.com/question/23763243

#SPJ1

     

I need help with this

Answers

Answer:

Yes.

Step-by-step explanation:

To decide if these triangles are similar, we need to check 2 criteria. The first is that the angles are all the same as their corresponding angles on the other triangle, which is true. The second is to check if the sides are all in the same proportional relationship. To do this, we need to put 40/50, 40/50, and 16/20 to see if they simplify to the same fraction (which is the proportion.) 40/50 and 40/50 simplify to the same fraction, 4/5. 16/20 also simplifies to 4/5, so the sides are all in the same proportion, which means the shapes are similar.

PLEASE HELP!!!Which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4)?

100 POINTS!!!!!

Answers

Answer:

y - 4 = - 2(x + 1)

-------------------------

Given

Points (-1, 4) and (3, - 4)

Find the slope

m = (- 4 - 4)/(3 - (-1)) = - 8/4 = - 2

Use one of the points and the point-slope form

y - y₁ = m(x - x₁)y - 4 = - 2(x - (-1)) ⇒ y - 4 = - 2(x + 1)

What is the inverse of [tex]f(x) = \sqrt{3x - 2}[/tex] for [tex]x \geq \frac{2}{3}[/tex]

Answers

Answer:

[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]

============

Given function

[tex]f(x)=\sqrt{3x-2}[/tex]

Find its inverse, substitute x with y and f(x) with x

[tex]x=\sqrt{3y-2}[/tex][tex]x^2=3y-2[/tex][tex]3y=x^2+2[/tex][tex]y=\cfrac{x^2+2}{3}[/tex]

The inverse of f(x) is

[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]

4X-3(x-2)=2(3x-2) I really need help on this one

Answers

x=2
4x-2x+6=2(3x-2)
4x-3x+6x-4
x+6=6x-4
x+6-6x=-4
x-6x=-4-6
-5x=-4-6
-5x=-10
then divide both sides by 5
x=2

WXYZ is a kite. ∠WXY has a measure of 94° and ∠ZWX has a measure of 112°. Find the measure of ∠ZYW.

Answers

well, we know WXYZ is a kite, so is a quadrilateral, namely it has 4 sides, and it has two congruent angles, so

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 94+94+112+\measuredangle ZYW=360\implies \implies \measuredangle ZYW=60[/tex]

Check the picture below.

37, 38, 39, and 40 show that the series is convergent. how many terms of the series do we need to add in order to find the sum to the indicated accuracy?

Answers

In order to find the sum to the indicated accuracy we need to add

5 terms  as the series is said to be convergent.

Given Series is Σ(-1/3)^n / n where error is less than 0.0005

      = Σ (-1)^n / n3^n

For this series, we will use ratio test

if [tex]\lim_{n \to \infty} |an + 1 / an |[/tex] = L < 1 then series in convergent,

Let an = (-1)^n / n3^n ,  an+1 = (-1)^n+1 / (n+1)3^n+1

[tex]\lim_{n \to \infty} |an + 1 / an |[/tex]   =  [tex]\lim_{n \to \infty} | ((-1)^n+1 / (n+1)3^n+1)(n3^n/(-1)^n) |[/tex]

By solving we get,

[tex]\lim_{n \to \infty} |an + 1 / an |[/tex] = 1/3 < 1

Then given series is convergent.

By alternating series estimation theorem we have,

|Rn|=|S-Sn| <= an+1

an+1 <= 0.0005

1 / (n+1)3^n+1 <= 0.0005

(n+1)3^n+1 >= 2000

2 * [tex]3^{2}[/tex] >[tex]\neq[/tex] 2000 (n=1)

4 * [tex]3^{4}[/tex] >[tex]\neq[/tex] 2000 (n=3)

6 *  [tex]3^{6}[/tex] >= 200 (n=5)

So required terms is n=5

Learn more about Ratio test :

brainly.com/question/15586862

#SPJ4


y=½x+4 solve this slope

Answers

Answer:

Slope:   [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept.

The expression given is already in slope intercept form. In this case [tex]m=\frac{1}{2}[/tex]

Therefore the slope is [tex]\frac{1}{2}[/tex]

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Multiply 12. 462 by 13.

Answers

Correct Answer:
162.006

Answer:

162.006

Step-by-step explanation:

how many ways are there to seat four of a group of ten people around a circular table where two seatings are considered the same when everyone has the same immediate left and immediate right neighbor?

Answers

The number of ways which are there to seat four of a group of ten people around a circular table is 1260.


To choose 4 people from a group of ten we need to count such people, which can be found using 10! / 4! × (10-4)! ,  after solving this we need to multiply 3! by this to get the desired answer. This is done because for that 4 people to sit in a circle, the possibilities for n people to sit around a circle is (n-1)! , and since n here is 4 the possibilities will also be (4-1)! which is 3! here.

Hence the final answer: 3! × 10! / 4! × (10-4)! = 1260

To learn more about permutation and combination,

https://brainly.com/question/1216161

#SPJ4

Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor



Part B: Are the two triangles similar? Explain.

Answers

a. Timothy is correct regarding the dilation, considering the vertices of each triangle.

b. The two triangles are similar, as they have congruent angle measures.

What is a dilation?

A dilation occurs when each of the vertices of a polygon is multiplied by a constant, which is called scale factor.

The effects of a dilation are given as follows:

Congruence is lost, as the side lengths will be different due to the multiplication by the scale factor.Similarity is kept, as the side lengths are proportional, hence the angles remain constant.

The vertices of each triangle in this problem are given as follows:

Triangle KLM: K(-1,3), L(8,4) and M(10,-3).Triangle K'L'M': K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

The scale factor is obtained by the division of any of the equivalent factors, hence:

k = 4.5/3 = 1.5.

Confirming that Timothy's statement regarding the scale factor of the dilation is correct.

More can be learned about dilation at brainly.com/question/29223851

#SPJ1

I need this by tonight would be appreciated. :) I know this is basic stuff I'm in Middle School but when I signed up for this there wasn't a middle school option.

Answers

The area of the floor of the convenience store would be = 212.5 ft²

What is the area of an object?

The area of an object is defined as the total space that is being occupied by that object.

To calculate the area of the convenience store is to find the area of the shaded part which would be = area of square - area of the triangle.

Area of square = l ×w = 15 × 15 = 225ft²

Area of triangle= 1/2 base ×height

= 1/2 × 5 × 5

(Note: 15 - 10 = 5 ft from the diagram used as base and height)

= 25/2

= 12.5 ft²

The area of the convenience store;

= 225 - 12.5

= 212.5 ft².

Therefore, the area that is covered by the convenience store should be = 212.5ft².

Learn more about area here:

https://brainly.com/question/28020161

#SPJ1

Please help. ill give brainliest

Answers

Answer:

I believe the answer is number 2, which is 20 degrees.

Step-by-step explanation:

When I plugged that number in for x for both of them I got the numbers 81 and 99. Added them together ad they made 180 degrees. Which makes them supplementary.

The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.8w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown. graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 1.6 Which of the following statements is true about the graph shown?

Answers

The correct statement regarding the proportional relationship c = 0.8w is given as follows:

The equation c = 0.8w is correctly represented by the graph.

What is a proportional relationship?

A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.

When the two variables x and y are direct proportional, the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k, as follows:

y = kx.

In this problem, the equation is given as follows:

c = 0.8w.

In which:

c is the cost in dollars -> output -> y-axis of the graph.w is the weight in ounces -> input -> x-axis of the graph.

For a input of 2, the output is given as follows:

c = 0.8 x 2 = 1.6.

Hence point (1,0.8) is in the graph, along with point (2,1.6).

Missing Information

The statements are given as follows:

The equation c = 0.8w is correctly represented by the graph.The graph is incorrect and the line should go through the point (0.8, 1).The x-axis and y-axis are labeled incorrectly.The graph does not show a proportional relationship.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Assuming that no questions are left​ unanswered, in how many ways can a ​nine question
true false quiz be​ answered?

Answers

The number of ways that a nine question true false quiz can be answered is; 512 ways

What is the number of ways of answering?

We are given;

Number of questions = 9

Options for each answer = 2 (True of false)

The power set is defined as the number of subsets of a set of n elements which is expressed as 2ⁿ

There are 2 ways to answer question 1 and as such it means that there are 2 ways to answer question 2.

For question 2; 2² = 4 ways

For question 3; 2³ = 8 ways

For question 4; 2⁴ = 16 ways

For question 5; 2⁵ = 32 ways

For question 6; 2⁶ = 64 ways

For question 7; 2⁷ = 128 ways

For question 8; 2⁸ = 256 ways

For question 9; 2⁹ = 512 ways

Thus we we conclude that, there are 512 ways to answer 9 true-false tests.

Read more about permutations at; https://brainly.com/question/4658834

#SPJ1

Factorise a squared - a -20

Answers

Answer:

(a-5)(a+4)

Step-by-step explanation:

[tex]a^{2}[/tex]-a-20

[tex]a^{2}[/tex]+4a-5a-20

a(a+4) -5(a+4)

(a-5)(a+4)

It take an ant farm 2 day to conume 1/2 of an apple. At that rate, in how many day will the ant farm conume 2 apple?

Answers

the ant will take 8 days to consume 2 apples.

Given, an ant takes 2 days to consume 1/2 of an apple.

We have to find the number of days ant will take to consume 2 apples.

So, ant takes 2 days = consumption of 1/2 apple

ant takes 4 days = consumption of 1 apple

Consumption of 1 apple = ant takes 4 days

Consumption of 2 apples = ant takes 4×2 days

Consumption of 2 apples = ant takes 8 days

Hence, the ant will take 8 days to consume 2 apples.

Learn more about Unitary Method here https://brainly.com/question/28627316

#SPJ4

In a two-digit number, the unit digit is 5 more than the tens digit. The number itself is three times the sum of the digits. What is the number?

Answers

Answer:

  27

Step-by-step explanation:

You want a 2-digit number that is 3 times the sum of its digits, where the units digit is 5 more than the tens digit.

Setup

Let t represent the tens digit. Then the units digit is (t+5) and the sum of digits is ...

  t +(t +5) = 2t+5

The value of the number is ...

  10t +(t+5) = 11t +5

The value is 3 times the sum of digits, so we have ...

  11t +5 = 3(2t +5)

Solution

  11t +5 = 6t +15

  5t = 10 . . . . . . . . . . subtract (6t+5)

  t = 2

  (t+5) = 7

The number is 27.

The attendance at an amusement park in a month of july was 178,383.What is the attendance rounded to the nearest thousand

Answers

Answer:

178 000

Step-by-step explanation:

178 383      8 is in the thousands place...if the number next to it (3) is ≥ 5 round it up by 1   o/w leave it alone

Answer:

178,000

Step-by-step explanation:

It's 178,000 because the number in front of the 8 in 178,383 was under five so the number dropped.

A pe class has 484848 students. one group of 242424 students chooses to play volleyball. the teacher then divides the remaining students into as many groups of 555 as possible to shoot baskets. after that, the remaining students (not on a volleyball or basketball team) climb the rock wall. how many students climb the rock wall?

Answers

444 students will climb the rock wall.

Given, that A class has 484848 students, one group of 242424 students chooses to play volleyball.

Then the teacher divides the remaining students into as many groups of 555 as possible to shoot baskets.

After that, the remaining students (not on a volleyball or basketball team) climb the rock wall.

Now, we are asked that the students who climb the rock wall

So, from a class of 484848 students if One group of 242424 students is made to play volleyball then there will be 242424 students remaining.

Now, to divide 242424 students into groups of 555 students,

we need to divide 242424 by 555, then we get

242424/555 = 436.8

Now there will be 436 groups of 555 students who will shoot basket and remaining 444 students who will climb the rock wall.

Hence, 444 students will climb the rock wall.

Learn more about Unitary Method here https://brainly.com/question/28731562

#SPJ4

I need help that’s it

Answers

Answer:

x-intercept(s): (−5,0)

y-intercept(s): (0,−5)

Explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Im also in K12 so Ez Good Luck

Hope this helped!

what is the value of m and n?​

Answers

The value of m is 36 degrees and the value of n is 27 degrees

Consider the triangle on right side

Two sides of the triangle is equal, therefore it is an isosceles triangle.

One angle of the triangle = 126 degrees

Other two angles of the triangle is equal

The sum of interior angles of the triangle is 180 degrees

Then, the equation will be

126 + n + n = 180

2n + 126 = 180

2n = 180 - 126

2n = 54

n = 54/2

n = 27 degrees

Consider the full triangle

The equation will be

(m +27) + 90 +27 = 180

m + 27 + 90 + 27 = 180

m + 144 = 180

m = 180 - 144

m = 36  degrees

Hence, the value of m is 36 degrees and the value of n is 27 degrees

Learn more about triangle here

brainly.com/question/27682397

#SPJ9

if the least-squares line provides a reasonable model for the data, the pattern of points in the plot will seem random and unstructured about the horizontal line at . is this the case for the residual plot?

Answers

Yes. The residuals' distribution pattern resembles a haphazard dispersion around the horizontal line at 0.

The horizontal plot in this instance comprises points that are unstructured and randomly dispersed around the horizontal mean line.

These are also points below the mean above the mean. This shows that some points in the distribution of data points are above and some are below the least square line, which crosses through the distribution.

The least-square line model would not produce adequate results if, in a residual plot, the majority of the data points are located roughly in a straight line or on either side of the horizontal line.

A residual plot must have data points randomly distributed on both sides of the horizontal mean line in order to produce good results.

To know more about Residual plots, refer to this link:

https://brainly.com/question/16821224

#SPJ4

COMPLETE QUESTION:

if the least-squares line provides a reasonable model for the data, the pattern of points in the plot will seem random and unstructured about the horizontal line at 0. is this the case for the residual plot?

The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72

Answers

The equation for the function of the ordered pair is y =10x+2.

What is equation for the function?

 An equation that has one solution for y for each value of x is referred to be a function. For each input of a particular type, a function assigns precisely one output. The names f(x) or g(x) are frequently used in place of y when naming functions. If our function's value is f(2), then we should calculate its value when x=2. Each functional equation contains some information about a function or several functions. An illustration of a functional equation is f (x) f (y) = x y, f(x) f(y) = x y.

Here in given order pair , let us take any two points,

[tex](x_1,y_1)=(0,2)\\(x_2,y_2)=(1,12)[/tex]

Now using slope formula,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m =10/1 = 10

Now using equation formula,

=> [tex]y-y_1=m(x-x_1)[/tex]

=> y-2 =10(x-0)

=> y-2 = 10x

=> y=10x+2.

Therefore equation of the following order pair is y = 10x+2.

To learn more about equation for the function refer the below link

https://brainly.com/question/1214333

#SPJ1

Eva says
3
4
is equivalent to
15
20
. Check her work by completing the table of equivalent ratios.

Answers

The equivalent ratio table is:

3           4

6           8

9          12

12         16

15         20

What is a Ratio?

A ratio indicates the number of times one number contains another.

To find the equivalent ratio of 3/4 write the table of 3 in one column of the table and write the table of 4 in another column of the table.

The equivalent ratio table is:

3           4

6           8

9          12

12         16

15         20

The above table indicates that 3/4 = 6/8 = 9/12 = 12/16 = 15/20.

Therefore, from the table, 3/4 is equivalent to 15/20.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ1

Example of a slope intercept form equation with a negative slope and y-intercept of 0

Answers

Answer:

An example would be y = -x.

Step-by-step explanation:

Since the y-intercept is 0, we don't have to write it out. The slope has to be negative, so I chose -1 as the slope. We don't have to write 1 when we use it as a coefficient, so that is why I wrote it as -x. Now to put it all together in slope intercept form, we get y = -x.

Hope this helps.

Give brainliest please

Examine the equation below used for determining the balance on a bank account. Look through this chapter and your notes to help you write a problem that could be modeled by the equation.

Answers

The balance on the bank account at the end of the third quarter of the year is  2,630.80

How to find the compound interest?

Compound interest is defined as the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is found using the formula

A=P(1+r/n)ⁿˣ  where:

A= Amountr= interest raten= number of interest applied per period  and x= number of time period

Therefore, the amount (A)=2630.80

The P=2500

interest rate is 0.17%

Number of interest applied per period is 365 periods and

number of time period is 3.

Learn more on compound interest on brainly.com/question/14295570

#SPJ1

consider performing a partial f test to test for the inclusion of pctrush in the model. either in words or formula, what are the null and alternative hypotheses for this test?

Answers

The null and alternative hypothesis of the pctrush are explained below.

Given that;

By performing a partial F-test;

In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.

The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.

The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.

Null hypothesis:

The idea that there is no influence on the population is known as the null hypothesis.

We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.

Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.

Alternative hypothesis:

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.

Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.

The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.

Learn more about hypothesis:

brainly.com/question/28920252

#SPJ4

Other Questions
In a school of 320 children, 45% of the children speak a language otherthan English at home.(i) Calculate the number of children in the school who speak alanguage other than English at home.(ii) Of the children who speak a language other than English at home,24 speak Polish. Write the number of children who speak Polish asa fraction of the number of children who speak a language other than English at home.Give your answer in its simplest form. You can tell that is an irrational number because it has a what? the nurse is collecting data on a 6-year-old child admitted with acute glomerulonephritis. which vital sign would the nurse anticipate with this child's diagnosis? prepu Physical fitness is an important part of overall health. It makes a person feel great and lowers his or her risk of developing chronic diseases. One aspect of maintaining a physically active lifestyle is to create a safety plan to prevent injury. In the first paragraph, write a personal physical activity plan using current safety guidelines. Your plan should include an approach for assessing your own physical activity level. Include supporting details in the form of facts, statistics, or examples. suppose two nodes, a and b, are separated by 20,000 kilometers and are connected by a direct link of 1,000 mbps. suppose the propagation speed over the link is 2.5 x 108 m/sec. consider sending a file of 100,000,000 bits from node a to node b. suppose now the file is broken up into 20 packets with each packet containing 5,000,000 bits. suppose that each packet is acknowledged by the receiver and the transmission time of an acknowledgment packet is negligible. finally, assume that the sender cannot send a packet until the preceding one is acknowledged. how long in ms (milliseconds) does it take to send the file? john told all the new hires that they could learn about the health benefits associated with their job title by accessing the company website and looking under the "benefits" tab. which aspect of a high-performance work system is john providing? Which scenario shows someone who is an active listener?Becky does not want to hear her brother's response about wrecking the car. Travis is not able to recall what Cindy's main point is for the conversation. Bill is listening, but his back is turned to the speaker. Renardo remains focused on the meaning of the message as he listens to his friend. How is the main problem in Three Aunties and Princess Frog solved in a similar way?(1 point)In both stories, the problem is solved by characters returning a favor done by the princess.O In both stories, the problem is solved by a magical animal.O In both stories, the problem is solved by three trolls.O In both stories, the problem is solved by a very determined prince. consider the line y= 5/2x+51. find the equation of the line that is perpendicular to this line and passes through the point (-5,6) 2. find the equation of the line that is parallel to this line and passes through the point (-5,6) PC=3x+7, can you find PC? Construct a polynomial function with the following properties: third degree, 2 is a zero of multiplicity 1, 4 is the only other zero, leading coefficient is 2. if an input force of 220 n is applied to the handles of the wheelbarrow in the sample problem, how large is the output force that just lifts the load The average cost per night of a hotel room in New York City is $273 (Smart Money, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $65.Show all work for each solutiona. With 95% confidence, what is the margin of error?b. What is the 95% confidence interval estimate of the population mean?c. Two years ago the average cost of a hotel room in New York City was $229. Discuss the change in cost over the two-year period. for each relationship gogol experiences outside his family, what does he learn about his name, identity, culture, place in the world, understanding of himself? 6) There are 11 marbles in a bag. Two are yellow, five are pink and four are green. Suppose you pull out onemarble, record its color, put it back in the bag and then pull out another marble. Find the probability thatwhen selecting 3 marbles, you have selected a yellow first, green second and pink last. 4. What is the energy balance or energy budget in relation to the Sun and Earth? Factor and solve f(x) = x + 8x - 23x - 30 given the fact that f(3) = 0 tina sometimes worries whether she can make her life count and give back to younger generations. which stage of erikson's theory of psychosocial development does this best reflect? you are dispatched to the local elementary school for an injured student. upon arrival, you find that two 7-year-olds got into a fight and one of them jabbed a pencil in the other's cheek. the pencil is still sticking out of the child's cheek. when you examine the patient, you cannot see the end of the pencil that went through the cheek, as it appears to be stuck in the palate. there is not significant bleeding, and the child is not having any difficulty breathing. the child is very upset and wants you to pull the pencil out. what should you do? If you live in a big city, you may take for granted the tall buildings. Even if you live in a smaller town, you probably have seen tall buildings. These buildings have existed for a little more than 100 years. Before that, materials were not strong enough to hold up tall structures. In older buildings, the walls carried the weight of the upper stories. Therefore, a building could have only a limited number of floors. With new materials such as ready-made steel and concrete blocks, builders could shift the weight from walls to columns and beams.Cranes and other machines were invented to allow the lifting of huge blocks and pieces of steel high into the sky. The elevator car, although dating from the nineteenth century, became more important because of taller buildings.Even with these advances, some critics say that ideas and methods in the construction industry do not change quickly. However, you can judge for yourself.Which sentence best states the main idea for a summary of this passage?Changes in materials made it possible for workers to build taller buildings.Some people claim that advances in construction methods happen slowly.The elevator became more important when tall buildings were made.In the past, building materials could not hold up tall buildings.