The equation of the line is

The Equation Of The Line Is

Answers

Answer 1

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

Slope-intercept form

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

Desired equation

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

The Equation Of The Line Is

Related Questions

Based on this equation, estimate the rating of chips whose cost is $1.10.
Round your answer to the nearest hundredth.

Answers

The estimated rating of chips whose cost is $1.10 is 2.25.

Estimating the rating of chips whose cost is $1.10.

From the question, we have the following parameters that can be used in our computation:

y = 2.5x - 0.5

To estimate the rating of chips whose cost is $1.10, we can substitute x = 1.10 into the equation y = 2.5x - 0.5 and solve for y.

y = 2.5x - 0.5

y = 2.5(1.10) - 0.5

y = 2.75 - 0.5

y = 2.25

Therefore, the estimated rating of chips whose cost is $1.10 is 2.25. Rounded to the nearest hundredth, it is 2.25.

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The measurements of the angles of a triangle have a ratio of 4:5:6. What are the three angle measurements? Classify the triangle by its sides and its angles.

please help with 21-24

Answers

The three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

The three angles of the triangle 4x, 5x, and 6x, where x is a constant of proportionality.

We know that the sum of the angles of a triangle is always 180 degrees, so we can set up an equation:

4x + 5x + 6x = 180

Simplifying, we get:

15x = 180

Dividing both sides by 15, we get:

x = 12

So the three angles of the triangle are:

4x = 4(12) = 48 degrees

5x = 5(12) = 60 degrees

6x = 6(12) = 72 degrees

all three angles are less than 90 degrees, the triangle is an acute triangle.

Therefore, the three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

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It's illegal to bet on political races in the United States, but overseas betting on American elections is common. As of this writing, Hillary Clinton is the favorite to win the presidency in 2016, with odds listed as 8/11. Explain what that means, including relating it to probability.

Answers

Odds are a measure of the likelihood of an event occurring. In the case of betting on an event, odds represent the ratio of the payout for a winning bet to the amount of the bet. So, in this case, odds of 8/11 mean that if you were to bet $11 on Hillary Clinton winning the presidency and she did win, you would get a payout of $8, plus your original $11 bet.

To relate this to probability, you would calculate the implied probability of the odds. This is a simple calculation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton, the implied probability would be:

(1 / (8/11 + 1)) x 100% = 57.89%

So, according to these odds, there is a 57.89% chance that Hillary Clinton will win the presidency.

Answer:

57.89%

Step-by-step explanation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton:

Implied probability = (1 / (8/11 + 1)) x 100% = 57.89%

There is a 57.89% chance that Hillary Clinton will win the presidency.

Phil owns a ranch business and uses four-wheelers to do much of his work. Occasionally, though, he and his boys will go for a ride together as a family activity. During year 1, Phil put 1,124 miles on the four-wheeler that he bought on January 15 for $12,800. Of the miles driven, only 274 miles were for personal use. Assume four-wheelers qualify to be depreciated according to the five-year MACRS schedule and the four-wheeler was the only asset Phil purchased this year. (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5.) (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.) b. Calculate the allowable depreciation for year 2 if total miles were 1,610 and personal-use miles were 760 (ignore the §179 expense and bonus depreciation).

Answers

Phil owns a ranch business and uses four-wheelers to do much of his work the allowable depreciation for year 2 is $4,096.

To calculate the allowable depreciation for year 2, we need to determine the depreciation basis of the four-wheeler and then apply the appropriate MACRS depreciation rate.

The depreciation basis is the original cost of the asset minus any Section 179 expense deduction and any bonus depreciation claimed.

Since we are ignoring these deductions in this case, the depreciation basis is simply the original cost of the four-wheeler:

Depreciation Basis = $12,800

To determine the MACRS depreciation rate for year 2, we need to consult Table 2 from the MACRS tables, which gives the percentage rates for assets in the 5-year class for each year of the recovery period. According to Table 2, the depreciation rate for year 2 is 32%.

Using this information, we can calculate the allowable depreciation for year 2 as follows:

Depreciation for Year 2 = Depreciation Basis × MACRS Depreciation Rate for Year 2

Depreciation for Year 2 = $12,800 × 32%

Depreciation for Year 2 = $4,096

Therefore, the allowable depreciation for year 2 is $4,096.

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It takes Sam 40 minutes to jog 5 kilometers. How far can he jog in 60 minutes?

Answers

Answer:

7.5 kilometers

Step-by-step explanation:

[tex]\frac{40}{5}[/tex] = [tex]\frac{60}{x}[/tex]

[tex]\frac{40}{5}[/tex] can be simplified to 8

8 = [tex]\frac{60}{x}[/tex]  Multiply both sides by x

8x = 60  Divide both sides by 8

[tex]\frac{8x}{8}[/tex] = [tex]\frac{60}{8}[/tex]

x = 7.5

Helping in the name of Jesus.

How many pounds of almonds priced $5.35 per pound should be mixed with peanuts worth $3.75 per pound in order to obtain 20 pounds of mixture that will sell for $4.50 per pound?

Answers

Answer:

9.375 pounds of almonds with 10.625 pounds of peanuts

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

To solve this problem, we can use a system of equations with two variables:

x = pounds of almonds at $5.35,y = pounds of peanuts at $3.75.


We have two equations based on the given information:

1) x + y = 20 (total pounds of the mixture)2) 5.35x + 3.75y = 4.50 * 20 (total cost of the mixture)

Solve the first equation for x:

x = 20 - y

Substitute the expression for x into the second equation:

5.35(20 - y) + 3.75y = 90

Simplify and solve for y:

107 - 5.35y + 3.75y = 90-1.60y = -17y = 10.625

Substitute the value of y back into the expression for x:

x = 20 - 10.625x = 9.375

So, you should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

Answer:

Step-by-step explanation:

You should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

is 400% of 2 less than 10, greater than 10 but less than 100, or greater than 100?

Answers

Answer:

400% of 2 is 8, so it would be less than 10

Step-by-step explanation:

To find out if 400% of 2 is less than 10, greater than 10 but less than 100, or greater than 100, we need to calculate 400% of 2, which is:

(400/100) x 2 = 8

So, we know that 400% of 2 is 8.

Since 8 is less than 10, we can say that 400% of 2 is less than 10.

A wave is traveling at a speed of 3.4m/s has a length of 1.3m. what is its frequency?

Answers

The frequency of the wave is 2.62 Hz

If a = 3 and b = -2, what is the value of a2 + 3ab ”“ b2?​

Answers

Substituting a = 3 and b = -2 into the expression a^2 + 3ab - b^2, we get:

a^2 + 3ab - b^2 = 3^2 + 3(3)(-2) - (-2)^2

a^2 + 3ab - b^2 = 9 - 18 - 4

a^2 + 3ab - b^2 = -13

Therefore, the value of a^2 + 3ab - b^2 when a = 3 and b = -2 is -13.

Calculate how far up the wall the ladder reaches​

Answers

The maximum height of the ladder on the wall is given as follows:

h = 8.7 m.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

For the angle of 60º, the parameters are given as follows:

Adjacent side: 5 m.Opposite side: maximum height.

Hence the maximum height is obtained as follows:

tan(60º) = h/5

h = 5 x tangent of 60 degrees

h = 8.7 m.

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1. 7/8 + 1 1/4
2. 1 2/6 + 2 3/8
3. 2 3/4 + 1 1/6
4. 2 2/7 - 1

Answers

Answer:

1. 17/8   2. 89/24   3. 47/12   4. 9/7

Answer:

1) 29

2) 57

3) 91

4) 15

Step-by-step explanation:

1) 7/8 + 11/4

find lcm

lcm=8

multiply through by 8

8×7/8+8×11/4

Gives: 7 + 22

 =29

2) 12/6+ 11/4

lcm=12

multiply through by 12

12× 12/6 + 12× 11/4

 24 + 33

 =57

3) 23/4 + 11/6

lcm=12

multiply through by 12

12× 23/4 + 12× 11/6

 =69 +22

 =91

4) 22/7 - 1

lcm=7

multiply through by 7

7 ×22/7 - 7 ×1

22-7

=15

Which of the following is true for the traditional economy?

Answers

Answer:

They barter, or trade (without using money). Economic systems are based on customs, traditions, and beliefs of the past.

Step-by-step explanation: -

Solve the system of equations.

y = 2 - 6x

1/2y - x = 1

Question 4 options:

(0,-2)


(2,0)


(-2,0)


(0,0)


(1,-4)

Answers

Answer:

Step-by-step explanation:

We can start by solving the second equation for y:

1/2y - x = 1

1/2y = x + 1

y = 2x + 2

Now we can substitute this expression for y into the first equation:

y = 2 - 6x

2x + 2 = 2 - 6x

Adding 6x to both sides, we get:

8x + 2 = 2

Subtracting 2 from both sides, we get:

8x = -0

Dividing both sides by 8, we get:

x = 0

Now we can use this value of x to find y:

y = 2x + 2

y = 2(0) + 2

y = 2

Therefore, the solution to the system of equations is x=0 and y=2.

the expression 30 x squared - 100x - 60 and (5x-20) (6x+3) define the same function f. Which expression makes it easier to find f of 0

Answers

Answer The expressions and define the same function, . 1. Which expression makes it easier to find ? Explain your reasoning. 2. Find . 3. Which expression makes it easier to find the values of that make the equation true? Explain or show your reasoning. 4. Find the values of that make .
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Explaining

Which of the following equations represents a line that is perpendicular to the line that passes through the points below?
(-3,10) (3,8)

Answers

The equation of the line that is perpendicular to the line passing through the points (-3, 10) and (3, 8) is y = 3x + 9.

To find a line that is perpendicular to another line, we need to use the fact that the slopes of the two lines are negative reciprocals of each other.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope formula:

slope = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of the line passing through the points (-3, 10) and (3, 8) can be found as follows:

slope = (8 - 10)/(3 - (-3)) = -1/3

Now, to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope -1/3, which is 3.

Therefore, the slope of the line perpendicular to the given line is 3.

Now, we can use the point-slope form of a linear equation to find the equation of the perpendicular line. The point-slope form of a linear equation is:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is any point on the line.

We know the slope of the perpendicular line is 3, and we can choose any point on the line. Let's choose the midpoint of the given points (-3, 10) and (3, 8), which is

=> ((-3+3)/2, (10+8)/2) = (0, 9).

So, using the point-slope form of the equation with m = 3 and (x1, y1) = (0, 9), we get:

y - 9 = 3(x - 0)

Simplifying this equation, we get:

y = 3x + 9

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What meaning of the statement this?

Answers

The meaning of the given statement is concept of a cyclic subgroup in group theory.

What is cyclic group?

In group theory, a cyclic group is a group that can be generated by a single element. That is, it is a group that is generated by a single element a, where any element of the group can be expressed as a power of a.

The order of a cyclic group is equal to the order of its generator. If the generator has order n, then the cyclic group has n elements. The group operation in a cyclic group can be either additive or multiplicative, depending on the notation used.

The statement defines a cyclic subgroup is a subgroup of a group that is generated by a single element. The element used to generate the subgroup is called the generator of the cyclic subgroup. The set of all powers of the generator, including the inverse powers and the identity element, forms the cyclic subgroup.

In other words, the cyclic subgroup generated by an element a of a group is the smallest subgroup that contains a. It consists of all possible combinations of a and its inverse under the group operation.

A group or subgroup is called cyclic when it can be generated by a single element. In other words, if every element of the group can be expressed as a power of a single element, then the group is cyclic.

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A washer and a dryer cost $949 combined. The washer costs $99 more than the dryer. What is the cost of the dryer?

Answers

Step-by-step explanation:

Subtract the 99 from 949 then    divide by 2

949-99= 425 dollars = price of dryer

( then washer is  425 + 99 )

A set of data items is normally distributed with a mean of 70 and a standard deviation of 8. Convert 70 to a z-score.

z70=
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

When 70 to a z-score, the resulting z-score is 0

Converting 70 to a z-score.

From the question, we have the following parameters that can be used in our computation:

Mean = 70

Standard deviation = 8

Score = 70

To convert 70 to a z-score, we make use of the following equation

z = (score - mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (70 - 70)/8

Evaluate the expression

z = 0

Hence, converting 70 to a z-score. we get 0

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The length of a rectangle is 2x+ 5 units and the width is 7x+ 1 units. Find the area of the rectangle.

Answers

(2x+5)(7x+1)
2x*7x, 2x*1, 5*7x, 5*1
Simplify,
14x^2+2x+35x+5
Simplify,

14x^2+37x+5




Rajindri, a physician assistant who works in an emergency room, earns $163 for every two hours that she works.

Which equation represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours?

A. d= 163 + t

B. d= 163/2 × t/2

C. d= 163t

D. d= 81.50t

Answers

Answer:

C. d= 163t represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours. This is because Rajindri earns $163 for every two hours that she works, which means she earns $81.50 for each hour that she works. Therefore, the equation that relates the number of dollars earned to the number of hours worked is d = 163t.

Step-by-step explanation:



a. ¿Cuál es el pago mensual de la hipoteca a 25 años, de $200,000 al 4% al primer centavo?

Answers

El pago mensual de la hipoteca a 25 años, de $200,000 al 4% al primer centavo, es de $1,051.81.

Find the volume of the prism. Round your answer to the nearest tenth, if necessary.
cm³
18 cm
8 cm
16 cm

Answers

Answer: 2304.0 cm³

Step-by-step explanation: V = length x width x height

V = 18 cm x 8 cm x 16 cm

V = 2304 cm³

The garment factory plans to make 690 sets of garments. It has been done for 5 days, with an average of 75 sets per day. The rest needs to be completed in 2.5 days, how many sets are done on average per day (step-by-step answer)

Answers

The garment factory needs to produce an average of 126 sets per day in the next 2.5 days to complete the order of 690 sets.

We have,

The number of sets produced in the first 5 days.

= 5 x 75

= 375

The number of sets remaining.

= 690 - 375

= 315

The number of sets to be completed in the next 2.5 days.

= 315

The average number of sets to be completed per day.

= 315 / 2.5

= 126

Therefore,

The garment factory needs to produce an average of 126 sets per day in the next 2.5 days to complete the order of 690 sets.

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A company needs to deliver product to each of their 5 stores around the Dallas, TX area. Driving distances between the stores are shown below. Find a route for the driver to follow, returning to the distribution center in Fort Worth:
a. Using Nearest Neighbor starting in Fort Worth
b. Using Repeated Nearest Neighbor

Answers

Using Nearest Neighbor starting in Fort Worth, the route will have a total path length of 183.

How to calculate the value

Using Nearest Neighbor starting in

Foethliceth:

We take the cheapest way to travel,

19 38 41 D42 F

d+ F A 43 M

Total path length = 19 +43 +38 +41 +42 = 183

Using Repeated Nearest. Neighbor:

The repetitive nearest algorithm says. to tey each veetex as starting point I then choose the best answer.

Feam Fort Worth:

F 19 A 43 M 38 p 4D 42 F

Total path length. = 183

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FIND THE SUM OF GEOMETRIC SERIES 3+2.55+2.1675+1.842375+...

Answers

The sum of geometric series 3+2.55+2.1675+1.842375+...

Hence, the correct option is B.

To find the sum of a geometric series, we can use the formula

S = a(1 - [tex]r^{n}[/tex]) / (1 - r)

Where

S = sum of the geometric series

a = first term of the series

r = common ratio of the series

n = number of terms in the series

In this case, we can see that the first term is 3 and the common ratio is 2.55/3 = 0.85. We can also see that there are an infinite number of terms in the series.

Using the formula for an infinite geometric series, we can simplify the formula to

S = a / (1 - r)

By putting these values we have, we get

S = 3 / (1 - 0.85) = 20.

Hence, the sum of the geometric series is 20.

Hence, the correct option is B.

The question is incomplete and the complete question is '' FIND THE SUM OF GEOMETRIC SERIES 3+2.55+2.1675+1.842375+...

A. 8

B. 20

C. 12

D. 4 ''

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25.
What is the height of a box if the width is x + 1, the length is x + 3, and the volume is x3 + 6x2 + 11x + 6? (Hint: Recall
that V= (wh.)
Ox+2
none of the answer choices
O-x-2
O x-2
-x+2
0

Answers

The height of box for the given cuboid satisfied the relation through which the volume of cuboid is satisfied is,  height = x+2

What about volume of cuboid?

A cuboid is a three-dimensional shape that has six rectangular faces, where each face has four sides and four right  angles. The volume of a cuboid is the amount of space that it occupies in three-dimensional space. It is measured in cubic units.

The formula to calculate the volume of a cuboid is given by multiplying its length, width, and height.

Volume of cuboid = Length x Width x Height

The volume of a cuboid can be used to determine the amount of space that it can hold or the amount of material required to fill it.

The volume of a cuboid can be calculated by multiplying its length, width, and height.

If the length of the cuboid is represented by "l", the width by "w", and the height by "h", then the volume can be calculated using the formula:

Volume of cuboid = l x w x h

According to the given information:

As, we know that the volume of cuboid = length x breath x height

Given volume of cuboid is = [tex]x^{3} + 6x^{2} +11x^{} + 6[/tex]

And width = x + 1 and length = x + 3.

Volume of cuboid = length x breath x height

⇒ [tex]x^{3} + 6x^{2} +11x^{} + 6[/tex] = (x + 1)(x + 3) x height

⇒ height = [tex]\frac{x^{3} + 6x^{2} +11x^{} + 6}{(x+1)(x+3)}[/tex]

⇒ height = [tex]\frac{(x+1)(x+2)(x+3)}{(x+1)(x+3)}[/tex]

⇒ height = (x+2)

So, the height of the given cuboid is (x+2)

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Lauren over-filled the homemade pecan pie that she was baking for Thanksgiving, so the pie needed additional cooking time. Lauren decided to place a strip of aluminum foil around the edge of the crust so that it would not burn. If Lauren used a pie pan with a 12-inch diameter, how long, to the nearest inch, should the strip of foil be?

A. 19 inches
B. 24 inches
C. 113 inches
D. 38 inches

Answers

Applying the circumference formula, the strip of aluminum foil should be about 38 inches long, which corresponds to answer choice D.

How to Calculate Circumference?

To determine the length of the aluminum foil strip, we need to find the circumference of the pie pan, which is the distance around the edge of the pan.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle (which is half the diameter).

Since the pie pan has a diameter of 12 inches, the radius is 6 inches. Therefore:

C = 2π(6)

C ≈ 37.7 inches

This is approximately, D. 38 inches.

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Eulerize this graph in the most efficient way possible, considering the weights of the edges.

Answers

We can eulerize this graph in the most efficient way possible by making these vertices have even degree through  adding  an edge between them.

How do we Eulerize a graph?

We can Eulerize a graph by ensuring  to add edges to the graph in a way that preserves its connectivity while ensuring that all vertices have even degree.

A good method to do this is by  adding  edges between pairs of vertices that have odd degree until all vertices have even degree.

In the scenario above,  all the  vertices have odd degree except for the first and last vertices. To make these vertices have even degree, we go ahead and add an edge between them.

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Compare the numbers with
>, <, =.
69
-0.43
- 4
-2.3

Answers

Answer:

-4 < -2.3 < -0.43 < 69

Step-by-step explanation:

If you look at a number line,

-4 is the first to come and as we approach 0, it's -2.3 and then -0.43. After 0 is only 69 leftover.

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I’m stuckkkk please helpppp

Answers

The hiking trial at the state park that is the longest would be D. Hilltop

How to find the longest hiking trail?

To find the hiking trail that is longest, convert the lengths shown to one form so as to see which is the longest.

Mammoth = 8.005 kilometers

Brookside = 8. 7 kilometers

Wild Rose = 8, 080 meters = 8. 08 kilometers

Hilltop = 8 kilometers 800 meters = 8. 8 kilometers

This then shows that the hiking trail that is the longest in the state park is the Hilltop trail which goes for 8. 8 kilometers.

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Using segmentation by size, which type of organization would be most likely to be contacted by a field sales person visiting the organization's place of business?A) small sizeB) medium sizeC) large sizeD) governmental In a database, what is metadata? Compare this to cell phone metadata or document metadata (this has been in the news). How are they similar and how are they different? We have a pure ALOHA network with a data rate of 10Mbps. What is the maximum number of 1000 bit frames that can be successfully sent by this network?a. 3680 frames/s b. 1840 frame/s c. 10000 frames/s d. none of the above A steel bar is tested in torsion. Two strain gages are applied to the surface of the specimen one positioned in the principal tensile stress direction and the other in the principal compressive stress direction. Thus they are both positioned 45 degrees from the longitudinal member axis and 90 degrees from reach other. The strain gages utilize a half bridge. A torsion of 1,000 lb-in. at intervals of 250 lb-in. is applied in increments.If an axial load was applied to the rod would the orientation of the strain gages need to change or would the orientation of 45 degrees still be valid? Justify your answer. The number of chocolate chips in chocolate chip cookies follows the Poisson distribution. A bakery makes a batch of 200 cookies, using 1000 chocolate chips.(a) What is the probability that a randomly selected cookie contains exactly 4 chocolate chips?(b) What is the probability that a randomly selected cookie contains more than 2 chocolate chips? What implications does the deficiency have on other direct or indirect controls? Leonard Bernstein (1918-1990), West Side Story "Cool" (1957)The opening section introduced the tune with timbres and a swinging rhythm reminiscent of: (chamber music/symphonies/cool jazz/Tin Pan Alley) what is the status of the family in contemporary society? how do child-rearing and marriage look differently than it did in pre-modern societies? predict future total costs when sales volume is (a) 220,000 units and (b) 240,000 units. Need help will give brainliest and 5 stars!For this graph, for each vertical asymptote, write down the two limits that describe the graph of the function near the asymptote. Compute the z-transforms of the following signals. Cast your answer in the form of a rational fraction. (a) n u[n] (b) (-1)"3 un] (c) u[n] - u[n -2] A gas system fitted is fitted with a piston. Calculate the total change in internal energy if 894 J are released when the gas is compressed 1.00 L against an external pressure of 966 torr. Upon blocking a Serotonin reuptake pump, what happens in the synaptic cleft and on the post synaptic cell membrane?A.The result will be an increase in available Serotonin in the synaptic cleft causing the post synaptic cell to increase the number of Serotonin receptors.B.The result will be an increase in the available Serotonin in the synaptic cleft causing the post synaptic neuron to reduce the number of Serotonin receptors.C.The result will be an increase in Serotonin in the synaptic cleft resulting in an increase in reuptake pumps on the presynaptic neuron.D.The result will be an increase in Serotonin in the synaptic cleft resulting in a decrease in reuptake pumps on the pre-synaptic neuron. what is the resistance (in ) of twenty 305 resistors connected in series? the nurse in the emergency department is assessing telemetry strips for assigned clients. which client tracing is a priority for the nurse to assess? Find the median weight, in kilograms (kg), of the weights below: 14 kg, 17 kg, 19 kg, 8 kg, 15 kg 8 kg, Given that two hosts A and Buse a selective-repeat protocol with a sliding-window of size 4 packets and a 3-bit sequence number. Suppose that host A has transmitted 6 packets to host B and that the third packet was lost in transit. Answer the following questions about the diagram. At event A, the following actions will take place Host A Host B pkt0 sent 01 2 34 56 pktl sent 0123456789 pkt0 revd, delivered, ACKO sent 0 1 2 3 4 56 pktl revd, delivered, ACKi sent pkt2 sent 0 1 2 3 4 5 6789(s) : 012 3 4 56789 Loss) pkt3 sent, window full 0 1 2 3 4 5 6789 Event A Event B EventC EventF Event D pkt2 TIMEOUT Event E Pkt3 receved,buffered, ACK3 sent O PK3 received, discarded, ACK2 sent O PK3 received, discarded, ACK3 sent receiver window will move to begin at3 For the endothermic reactionCaCO3 (s) CaO (s) + CO2 (g)Le Chtelier's principle predicts that __________ will result in an increase in the number of moles of CO2 at equilibrium.a. increasing the temperatureb. decreasing the temperaturec. increasing the pressured. removing some of the CaCO3(s)e. adding more CaCO3 (s) Kaitlin is jogging from her house to school. She has gone 1/4 miles so far. Her school is 3 7/8 miles from her house. How many miles does Kaitlin still have to jog? Write your answer as a mixed number in simplest form. if a toaster oven is labeled as 1 kw. if it is connected to a 120 v source.(a) What current (in A) does the toaster carry?(b) What is its resistance (in )