if PQR measures 75° , what is the measure of SQR

Answers

Answer 1

Answer:

PQR+SQR=180°(angles in a triangle)

75°+SQR=180°

SQR=180°-75°

SQR=105°


Related Questions

Write the nth term of the following sequence in terms of the first term of the sequence.
10, 20, 40,-

Answers

Answer:

10*(2)^(n-1)

Step-by-step explanation:

The common ratio of the sequence is 20/10=40/20=2.

The first term is 10 so the equation is 10*(2)^(n-1)

Answer:

10(2)^n-1

Step-by-step explanation:

Correct on Odyssey

Which two values of x are roots of the polynomial below? x2 + 3x - 5

Answers

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

Help please Find the surface area, including the floor, of his tent.

Answers

Answer:

52.8 m. sq.

Step-by-step explanation:

2.6 x 1.5 + 1.5 (3) = 7.8 / 2 = 3.9 x 2 = 7.8 (Triangles)

3 x 5 = 15 x 2 = 30 (Side Rectangles)

5 x 1.5 + 1.5 (3) = 15

15 + 30 + 7.8 = 52.8 m. sq.

Hope this helps!

If something is wrong, please let me know.

add:7ab,8ab,-10ab,-3ab


Answers

Answer:

2ab

Step-by-step explanation:

7ab+8ab+(-10ab)+(-3ab)=

=15ab-13ab= 2ab

Answer:

2ab

Step-by-step explanation:

7ab+8ab+-10ab+-3ab

Factor out ab

ab(7+8-10-3)

ab(2)

2ab

a. A contest entrant has a 0.002 probability of winning $12,165. If this is the only prize and the fee is $35, then find the expected value of winning the contest.
b. The probability of winning a lottery is 0.125, what is the probability of winning at least once in twelve trials?

Answers

Part (a)

If you win $12165, then you really net 12165-35 = 12130 dollars when you consider the ticket fee. So this is the true amount of money you win, or take home at the end of the day. This is before taxes.

Multiply 0.002 with 12,130 to get 0.002*12130 = 24.26

We'll use this later so let A = 24.26

The chances that you don't win are 1 - 0.002 = 0.998 which multiplies with -35 to indicate you lost $35 in playing the game. So we get B = 0.998*(-35) = -34.93

Lastly, add the values of A and B to get the expected value:

A+B = 24.26 + (-34.93) = -10.67 is the expected value.

On average, you expect to lose about $10.67 for any time you play the game.

Answer:  -10.67 dollars

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

Part (b)

0.125 is the probability of winning so 1-0.125 = 0.875 is the probability of losing.

Let's say you get really unlucky and lose 12 times in a row. Assuming each trial (aka case when you play the game) is independent, this would mean the probability of such an event is (0.875)^12 = 0.2014172, which is approximate.

Subtract that from 1 to get the probability of winning at least once

1 - (0.875)^12 = 1 - 0.2014172 = 0.7985828

which is also approximate. If we rounded to three decimal places, then it would be 0.799; I'm picking three decimals since 0.125 is to three decimal places. Round however you need to if otherwise.

Answer:  0.799 (approximate)

Which of the following are best described as lines that meet to form a right
angle?
A. Parallel lines
B. Lines that are coplanar
C. Perpendicular lines
D. Intersecting lines

Answers

I think it’s b or c

Answer:

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

What is the domain and range of the graph below?

Answers

9514 1404 393

Answer:

domain: all real numbersrange: y ≥ 0

Step-by-step explanation:

The domain is the horizontal extent of the graph. For a graph like this, we assume the ends extend to infinity, both horizontally and vertically. Then the horizontal extent (domain) is from -infinity to +infinity: all real numbers.

The graph does not go below y=0, so the vertical extent (range) is y ≥ 0.

g Let the joint probability density function of random variables X and Y. (a) Calculate the marginal probability densities of X and Y . (b) Calculate the expected values of X and Y . be given by

Answers

Answer: hello your question is incomplete attached below is the complete question

answer:

a) Fx(X) = 0 ≤ x ≤ 2,    Fy(Y) = y - y^3/4

b) E(X) = 32/20 ,  E(Y) = 64/60

Step-by-step explanation:

a) Marginal probability density

Fx(X) = [tex]\int\limits^x_0 {\frac{xy}{2} } \, dy[/tex]

∴ probability density of X  = 0 ≤ x ≤ 2

Fy(Y) = [tex]\int\limits^2_y {\frac{xy}{2} } \, dx[/tex]

∴ probability density of Y = y - y^3/4

b) Determine the expected values of X and Y

E(X) = 32/20

E(Y) = 64 /60

attached below is the detailed solution

In this graph, which transformation can produce quadrilateral A′B′C′D′ from quadrilateral ABCD?

Answers

Answer:

A reflection across the y axis and then a reflection across the x axis

Step-by-step explanation:

Answer:

An 180 degree counterclockwise rotation around the origin

Step-by-step explanation:

plato/edmuntum answer

ASAP HELP: If a sample proportion is 0.55, which range of possible values best describes an estimate for the population parameter?
A. (0.55, 0.6)
B. (0.4, 0.7)
C. (0.4, 0.69)
D. (0.5, 0.59)

Answers

Answer:

B.(0.4,0.7)

Step-by-step explanation:

We are given that

Sample proportion

[tex]\hat{p}=0.55[/tex]

We have to find the range of possible values which   describes best  an estimate for the population parameter.

Estimate  for the population parameter

[tex]\hat{p}\pm Z(SE)[/tex]

A.(0.55,0.6)

Difference between 0.55 and 0.55=0

Difference between 0.55 and 0.6=0.05

Difference between 0.55 and 0.55 is not equal to difference between 0.55 and 0.6.

Hence, option A is wrong.

B.(0.4,0.7)

Difference between 0.55 and 0.4=0.15

Difference between 0.55 and 0.7=0.15

Difference between 0.55 and 0.4 is equal to difference between 0.55 and 0.7.

Hence, option B is correct.

C. (0.4,0.69)

Difference between 0.55 and 0.4=0.15

Difference between 0.55 and 0.69=0.14

Difference between 0.55 and 0.4 is not equal to difference between 0.55 and 0.69.

Hence, option C is not correct.

D.(0.5,0.59)

Difference between 0.55 and 0.5=0.05

Difference between 0.55 and 0.59=0.04

Difference between 0.55 and 0.5 is not equal to difference between 0.55 and 0.59.

Hence, option D is not  correct.

Select the correct answer from the drop-down menu.

Answers

Answer:

-60 60 30 -30 one of it is answer

A certain store sells small, medium, and large toy trucks in each of the colors red, blue,green, and yellow. The store has an equal number of trucks of each possible color/sizecombination. If Stella wants a medium red truck and her mother will randomly select oneof the trucks in the store, what is the probability that the truck she selects will have atleast one of the two features that Stella wants

Answers

Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

3 sizes

4 colors

4 x 3 = 12

4 midsize cars

3 red cars

1 medium red car

4 + 3 - 1 = 6

6/12 = 0.5

Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Find the missing length on this triangle

Answers

Answer:

Step-by-step explanation:

This is a geometric means problem where 60, the side common to both the triangles, is the geometric mean. Set it up like this:

[tex]\frac{36}{60}=\frac{60}{x}[/tex] and cross multiply to get

36x = 3600 so

x = 100

Write an equation of the line that passes through a pair of points: (-5, -2), (3, -1) y=-x+ C. y=-- x - 11 11 a. 8 8 b. 11 d. y=-x+ 8 y=-x - 8 11​

Answers

Answer:

y = 8x+11

Step-by-step explanation:

The coordination of the points are : (-5,-2) , (3, -1)

Then, the equation is :

[tex]\frac{y+5}{x+2} =\frac{-5-3}{-2+1} \\\\or,\frac{y+5}{x+2} = 8\\or, y+5=8(x+2)\\or, y = 8x+16-5\\y= 8x+11[/tex]

Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A?

A. 0
B. 1
C. 2
D. an infinite number

Answers

Answer:

B. an infinite number

Step-by-step explanation:

Since point A lies outside of P, the number of lines that can be drawn parallel to P and passing through point A is only infinite. It is infinite because it is just one given point lying outside the plane. If there is more than one point then it will be otherwise.

Answer:

yeah

Step-by-step explanation:

Which of the following is equivalent to the expression below?
8^11•8^x
A. 8^x-11
B. 8^11x
C. 8^11+x
D. 8^11-x

Answers

Answer:

C

Step-by-step explanation:

[tex] \sf {a}^{c} \times {a}^{b} = {a}^{b + c} \\ \sf = {8}^{11} \times {8}^{x} \\ \sf = {8}^{11 + x} (c)[/tex]

A housing official in a certain city claims that the mean monthly rent for apartments in the city is less than $1000. To verify this claim, a simple random sample of 47 renters in the city was taken, and the mean rent paid was $941 with a standard deviation of $245. Can you conclude that the mean monthly rent in the city is less than $1000

Answers

Answer:

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

Step-by-step explanation:

A housing official in a certain city claims that the mean monthly rent for apartments in the city is less than $1000.

At the null hypothesis, we test if the mean is of at least $1000, that is:

[tex]H_0: \mu \geq 1000[/tex]

At the alternative hypothesis, we test if the mean is less than $1000, that is:

[tex]H_1: \mu < 1000[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

1000 is tested at the null hypothesis:

This means that [tex]\mu = 1000[/tex]

To verify this claim, a simple random sample of 47 renters in the city was taken, and the mean rent paid was $941 with a standard deviation of $245.

This means that [tex]n = 47, X = 941, s = 245[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{941 - 1000}{\frac{245}{\sqrt{47}}}[/tex]

[tex]t = -1.65[/tex]

P-value of the test and decision:

The p-value of the test is found using a left-tailed test(test if the mean is less than a value), with t = -1.65 and 47 - 1 = 46 df.

Using a t-distribution calculator, the p-value is of 0.053.

The p-value of the test is 0.053, which is more than the standard significance level of 0.05, and thus it cannot be concluded that the mean monthly rent in the city is less than $1000.

According to The Wedding Report, Inc., the mean cost for a wedding in the United States is $28732 (as of November 2008). Suppose the cost for a wedding is normally distributed with a standard deviation of $1500, and that a wedding is selected at random. Use the appropriate Excel function to calculate each of the following. (Note - Part (e) can be done by hand.)
(a) Find the probability that the wedding costs less than $22000.
(b) Find the probability that the wedding costs more than $32000.
(c) Find the probability that the wedding costs between $25000 and $30000.
(d) Find Q1 (the 25th percentile) and Q3 (the 75th percentile).
(e) Find the IQR for the wedding costs.
(f) The top 10% of weddings cost more than how much?

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

[tex]X = \text{cost of wedding}\sim \text{Normal}\ (\mu = 28732, \sigma= 1500)\\\\[/tex]

For point a:

[tex]Probability\ = 0.00000359\\\\ \text{(Using Excel function:} =NORMDIST(22000,28732,1500,1)).[/tex]

For point b:

[tex]Probability \ = 0.014678\\\\\text{(Using Excel function:} =1-NORMDIST(32000,28732,1500,1))\\\\[/tex]

For point c:

[tex]Probability\ = 0.794614436 \\\\[/tex]

[tex]\text{(Using Excel function:} \\=NORMDIST (30000,28732,1500,1)-NORMDIST(25000,28732,1500,1))\\\\[/tex]

For point d:

[tex]Q_1 = 27720.26537 \\\\\text{(Using Excel function:} =NORMINV(0.25,28732,1500)) \\\\Q_3 = 29743.73463 \\\\\text{(Using Excel function:} =NORMINV(0.75,28732,1500)).[/tex]

For point e:

[tex]IQR = Q_3 - Q_1 = 29743.73463 - 27720.26537 = 2023.469251.[/tex]

For point f:

[tex]Top\ 10\% = 30654.32735 \\\\\text{(Using Excel function:} =NORMINV(0.9,28732,1500)).[/tex]

Find the missing side lengths help please?

Answers

Answer:

Step-by-step explanation:

Answer:

y=2, x=4

Step-by-step explanation:

sin60=2sqrt3/x

so x = 2sqrt3/sin60

and x=4

for the value of y, use pythagorean theorem to get

16=y^2+12

which gives you y=2

What is 2/11 as a decimal rounded to 3 decimal places?

Answers

Answer: The answer is 0.182

Hope this help :)

The Smith family has
bought an above ground
pool. The manufacture
recommends that it be filled
to within 1 foot of the rim.
What is the volume of the
water at this height.
37. (V=TTr?h) (use 3.14 for TT)
a. 7536 cubic feet
b. 6280 cubic feet
c. 1570 cubic feet
d. 1884 cubic feet

Answers

Answer:

b. 6280 cubic feet

Step-by-step explanation:

Volume:

The volume of the prism, which has a cylindrical base, with radius r and height h, is given by:

[tex]V = \pi r^2h[/tex]

Radius:

The radius is 20, so [tex]r = 20[/tex]

The manufacture  recommends that it be filled  to within 1 foot of the rim.

Height of 6 - 1 = 5, so [tex]h = 5[/tex]

Then

[tex]V = 3.14*(20)^2*5 = 6280[/tex]

So the volume is 6280 cubic feet, and the correct answer is given by option b.

A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 14 ft3/min, how fast is the water level rising when the water is 4 inches deep

Answers

Answer:

[tex]\frac{dh}{dt}=0.5ft[/tex]

Step-by-step explanation:

From the question we are told that:

Length [tex]l=12[/tex]

Top length [tex]l_t=3ft[/tex]

Height [tex]h=1ft[/tex]

Rate [tex]R=14 ft3/min[/tex]

Water rise [tex]w=4[/tex]

Generally the equation for Velocity is mathematically given by

[tex]V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)[/tex]

[tex]V=18h'^2[/tex]

Therefore

[tex]R=18(2h)(\frac{dh}{dt})[/tex]

Where

[tex]h=\frac{3}{4}[/tex]

Therefore

[tex]\frac{dh}{dt}=\frac{R}{18(2h)}[/tex]

[tex]\frac{dh}{dt}=\frac{14}{18(2.3/4)}[/tex]

[tex]\frac{dh}{dt}=0.5ft[/tex]

Whats The Correct Answer?!

Answers

Answer: the correct answer is D 0.05

Step-by-step explanation:

Answer:

0.02 m/s

Step-by-step explanation:

42/50 meters in 26/30 minutes,

26/30 minutes = 52 seconds

so in 1 second, 42/50 ÷ 52

= 42/50 × 1/52

= 21/1300

= 0.02 (approximately)

Answered by GAUTHMATH

A, B, and C are points of tangency. CQ = 5, PQ = 10, and PR = 14. What is the perimeter
of the triangle PQR?

Answers

*see attachment for diagram

Answer:

Perimeter = 38

Step-by-step explanation:

Recall: when two tangents are drawn to meet at a point outside a circle, the segments of the two tangents are congruent.

Given,

CQ = 5

PQ = 10

PR = 14

Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

CQ = QB = 5 (tangents drawn from an external point)

BP = PQ - QB

BP = 10 - 5 = 5

BP = PA = 5 (tangents drawn from an external point)

AR = PR - PA

AR = 14 - 5 = 9

AR = RC = 9 (tangents drawn from an external point)

✔️Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR

= 9 + 5 + 5 + 5 + 5 + 9

Perimeter = 38

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. It is believed that the machine is underfilling the bags. A 41 bag sample had a mean of 440 grams with a variance of 441. Assume the population is normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test.

Answers

Answer:

The null hypothesis is [tex]H_0: \mu = 444[/tex]

The alternative hypothesis is [tex]H_1: \mu < 444[/tex]

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting.

At the null hypothesis, we test if the machine works correctly, that is, the mean is of 444. So

[tex]H_0: \mu = 444[/tex]

At the alternative hypothesis, we test if they are underfilling, that is, if the mean is of less than 444. So

[tex]H_1: \mu < 444[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

444 is tested at the null hypothesis:

This means that [tex]\mu = 444[/tex]

A 41 bag sample had a mean of 440 grams with a variance of 441.

This means that [tex]n = 41, X = 440, s = \sqrt{441} = 21[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{440 - 444}{\frac{21}{\sqrt{41}}}[/tex]

[tex]t = -1.22[/tex]

P-value of the test:

Right-tailed test(test if the mean is less than a value), with 41 - 1 = 40 df and t = -1.22.

Using a t-distribution calculator, this p-value is of 0.1148

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

An isosceles right triangle has a hypotenuse that measures 4√2 cm. What is the area of the triangle?

Answers

Answer:

It would be B. 16 centimeters^2

Step-by-step explanation:

please help me with this on the image

Answers

Answer: For flour it is 360g

3 eggs

900ml of milk

Step-by-step explanation:

Answer:

First, find the amount of ingredient for one pancake:

240 ÷ 8 = 30g of plain flour per pancake2 ÷ 8 = 0.25 eggs per pancake600 ÷ 8 = 75 ml of milk per pancake

Multiply that amount by 12 to find the amount needed for 12 pancakes:

30 x 12 = 360g of plain flour0.25 x 12 = 3 eggs75 x 12 = 900 ml of milk

A game consists of tossing three coins. If all three coins land on heads, then the player wins $75. If all three coins land on tails, then the player wins $45. Otherwise, the player wins nothing. On average, how much should a player expect to win each game

Answers

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A. There is exactly one solution.
В.
There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.

Answers

Answer:

C. There are infinitely many solutions.

Step-by-step explanation:

If the graphs of linear equations are the same line, then any point (solution) on  one line is automatically a point on the "other" line.  For example,

[tex]\begin{array}{l} x + y =10 \\ 2x + 2y =20 \end{array}[/tex]

The graphs of these "two" equations is only one line, x + y =10.  The point [tex](5, 5)[/tex]is on "both" lines.

An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receives each month throughout the industry is 4, but the variance is unknown. Nine of the chain's stores were randomly selected to record complaints for one month; they received 2, 4, 3, 5, 0, 2, 5, 1, and 5 complaints. Using the .05 significance level, is the number of complaints received by the chain different from the number of complaints received by music stores in general?
1. Use the five steps of hypothesis testing.
2. Sketch the distributions involved
3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind. Be sure to explain how this problem differs from a problem with a known population variance and a single sample.

Answers

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

Other Questions
A recipe for eight flapjacks needs 2oz of butter, 3oz of sugar, and 4 oz of rolled oats. How many flapjacks can I make if I have 14 oz of butter, 15 oz of sugar, and 16 oz of rolled oats? the first attempt to classify the elements was made by newlands true or false 5. A number, when divided by 296, gives 75 asthe remainder. If the same number is divided by 37 then the remainder will be PLEASE HELPFind the probability of landing in the shaded region of the figures below. Somebody murdered a dark-haired prepubescent girl in the area last year and left her mutilated body near the train tracks. This year, another dark-haired girl of about the same age was murdered and her body was left near the train tracks in the same general area. Based on what you have learned from the text, was this the work of a serial killer Please anyoneeeeeeee.....i am almost done just please help me (viii) Word does not allow you to customize margins. true/false:- can someone pls help me on number 4 If 25 burgers feed 15 kids how many burgers would feed 55 kids write dialogue about planning a birthday party for your grandfather Read the following poems then fill in the compare/contrast chart."NovemberFall, leaves, fallNumber of StanzasStanzosRhyme Scheme Gina wants to solve the following proportion.a / 5/8 = 3/5 / 2/3A. explain how to solve the problem.B. solve the proportion. show your work. You are working on a project to make a more efficient engine. Your team is investigating the possibility of making electrically controlled valves that open and close the input and exhaust openings for an internal combustion engine. Determine the stability of the valve by calculating the force on each of its sides and the net force on the valve.The valve is made of a thin but strong rectangular piece of non-magnetic material that has a current-carrying wire along its edges. The rectangle is 0.35 cm x 1.83 cm. The valve is placed in a uniform magnetic field of 0.15 T such that the field lies in the plane of the valve and is parallel to the short sides of the rectangle. The region with the magnetic field is slightly larger than the valve. When a switch is closed, a 1.7 A current enters the short side of the rectangle on one side and leaves on the opposite short side of the rectangle. At the suggestion of a colleague, who is hoping to ensure different currents along the sides of the valve, resistors have been included along the wire on each of the short sides of the valve. The value of the resistor on one side is twice that on the other side. Boeing sells a third of its aircraft overseas, making it the biggest ....... In the United States. ( export) When Joe maximizes utility, he finds that his MRS of X for Y is greater than Px/Py. It is most likely that: Group of answer choices Joe is not consuming good X. Joe's preferences are incomplete. Joe's preferences are irrational. Joe is not consuming good Y. Which correlation best describes the data below.no correlationweak positivestrong positivestrong negative PLEASE I HAVE AN HOUR Why might you use the distributive property to simplify 3(30-2) Find the value of b if b = 2. Question 17 options: A) 4 B) 27 C) 16 D) 8 There are five cities in a network. The cost of building a road directly between i and j is the entry ai,j in the matrix below. An infinite entry indicates that there is a mountain in the way and the road cannot be built. Determine the least cost of making all the cities reachable from each other. 0 3 5 11 9 3 0 3 9 8 5 3 0 [infinity] 10 11 9 [infinity] 0 7 9 9 10 7 0 I. Choose the word that has underlined part pronounced differently from the others.1. a.letter b. twelve c. person d. sentence2. a. enough b. young c. country d. mountain