The angle of elevation of the top of the building at a distance of 55 m from its foot on a
horizontal plane is found to be 60°. Find the height of the building rounded to the nearest
tenth of a meter.
The height of the building is _______ meters.

Need help

Answers

Answer 1

The height of the building, given the angle of elevation and the distance from the top of the building, is such that he height of the building is 95 meter.

How to find the height ?

We shall assume that the building, the distance from the foot and the angle, are in a right - angled triangle.

This means that the height of the building is the opposite side and the given distance is the adjacent side.

The relevant operation would be Tan.

The height of the building would be:

Tan ( 60 ° ) = Height / 55 m

Height = Tan ( 60 ° ) x 55

Height = 95 meters

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Related Questions

A car drives at a speed of 90km/h for 2 hours and 20 minutes. How far does the car drive

Answers

Answer: 210 ( it hope this is a best answer)

Step-by-step explanation:

2 hours and 20 minutes is 2 and a third hours. Multiply 90 by 2 and a third.

90 × 2.333

209.999

If you round to the nearest kilometer, the answer is 210 km

Arrange these in descending order
0. 68
0. 5
0. 345
0. 99

Answers

0.345 0.5 0.68 0.99 that is the descending order

Compute the x and y coordinates for points on sine and cosine curves. Set up a subplot grid that has height 2 and width 1 and set the first such subplot as active. Plot the sine and cosine graphs. Hint: Use the plt.subplot() function

Answers

plt.plot(x, y_sine)
plt.plot(x, y_cosine)

To compute the x and y coordinates for points on sine and cosine curves, you need to use the trigonometric functions sine and cosine. To plot the sine and cosine graphs in the same figure, you need to create a subplot grid using the plt.subplot() function. This function takes in the number of rows, columns and the active plot you want to plot the graphs in.



To create a subplot grid that has height 2 and width 1 and set the first subplot as active, the code will look like this:
plt.subplot(2, 1, 1)



You can then plot the sine and cosine graphs by using the x and y coordinates calculated from the sine and cosine functions. The code for plotting the graphs will look like this:
plt.plot(x, y_sine)
plt.plot(x, y_cosine)

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2+2+??= 4,000
helppppppppppppppppppppppp

Answers

Answer:

2 + 2 + ?? = 4,000

?? = 3996

Step-by-step explanation:

You're welcome.

I suck at math, so someone who is good at it please help me.

Answers

Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

∠7 = 60°

∠8 = 120°

∠9 = 60°

How do angles work?

When two lines meet, they intersect at an angle. By using the symbol, we may symbolise an angle.

Two lines meet at the common vertex of an angle, which has one common leg. A straight line's one side always has a total angle of 180 degrees. On the other hand, a point's surrounding angles are always added up to 360 degrees.

Here,

We can see that the Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

Given, ∠1 = 60°

Now similarly, using the angles properties we can ind the rest of the angles.

∠7 = 60°

∠8 = 120°

∠9 = 60°

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The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)
A.
26.2 in
B.
13.1 in
C.
41.13 in
D.
258.32 in

Answers

Step-by-step explanation:

The circumference of the bike tire above is 82.268 inches.

What is the radius of the bike tire? (Use 3.14 for .)

A.

26.2 in

B.

13.1 in

C.

41.13 in

D.

258.32 in

Ps=the answer is B

Write an equation for the graph that passes through (1,7) and (3,3).

Answers

We can use the two-point form to find the equation of the line passing through the two given points:

y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)

where (x1, y1) = (1, 7) and (x2, y2) = (3, 3).

Substituting the values, we get:

y - 7 = ((3 - 7)/(3 - 1))(x - 1)

Simplifying the equation, we get:

y - 7 = (-2/2)(x - 1)

y - 7 = -x + 1

Adding 7 to both sides, we get:

y = -x + 8

Therefore, the equation of the line passing through the points (1, 7) and (3, 3) is y = -x + 8.

Hope this helps <3

Please give me Brainliest :)

simplify the radical expression below 2/9.

Answers

The simplification of the radical expression √9. is 3.

What is radical expression?

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).

The given expression is √9.

The given expression can be written as:

√(3)(3) = 3

Hence, the simplification of the radical expression √9. is 3.

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Reference Library. 40. In a standard deck of 52 cards, what is the probability of drawing a King (4 cards ), a Queen ( 4 cards ), or a Jack ( 4 cards )?

Answers

The probability of drawing a King, Queen, or Jack from a standard deck of 52 cards is 3/13.


The probability of drawing a King, Queen, or Jack in a standard deck of 52 cards can be calculated by using the formula for the probability of an event happening: P(E) = number of favorable outcomes / total number of possible outcomes.

In this case, the number of favorable outcomes is the total number of Kings, Queens, and Jacks in the deck, which is 4 + 4 + 4 = 12. The total number of possible outcomes is the total number of cards in the deck, which is 52.

So, the probability of drawing a King, Queen, or Jack is:

P(E) = 12 / 52

Simplifying this fraction gives us:

P(E) = 3 / 13

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is a 20% off coupon and a 10% off coupon the same thing as using a 30% off coupon

Answers

Answer: no

Step-by-step explanation:

No it is not the same

a ice cream truck driver figured out that the number of ratio of vanilla to chocolate ice cream cones sold was 5 to 2 if 125 vanilla cones were sold how many chocolate cones were sold?

Answers

Answer: 50 chocolate cones

Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50

Answer:

50. There were 50 chocolate cones sold.

Step-by-step explanation:

so we do it like this: see the attachment for the work i did to solve

*Baige=Vanilla*

*brown=chocolate*

when you cross multiply you get 50

Quadratic Functions:
Evaluate the function fx= -4x2+6x-1 to find
f-1
Using the same function, when is fx=0

Answers

For function fx= -4x2+6x-1

f(-1) = -11 fx=0 when x = (3+√5)/4 and x = (3-√5)/4.

To find f(-1), we need to plug in -1 for x in the function and simplify:
f(-1) = -4(-1)2+6(-1)-1
f(-1) = -4+(-6)-1
f(-1) = -11

To find when fx=0, we need to set the function equal to 0 and solve for x: -4x2+6x-1=0

We can use the quadratic formula to solve for x:
x = (-b ± √(b2-4ac))/(2a)
x = (-(6) ± √((6)2-4(-4)(-1)))/(2(-4))
x = (-6 ± √(36-16))/(-8)
x = (-6 ± √20)/(-8)
x = (-6 ± 2√5)/(-8)
x = (3 ± √5)/4

So, the two values of x that make fx=0 are (3+√5)/4 and (3-√5)/4.

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Find the other endpoint: if Q is the midpoint of segment PR, find the coordinates of R if point P is (11,-2) and point Q is (-2,3)

Answers

The coordinates of R are (-15, 8). The solution has been obtained by using Mid point formula.

What is Mid point formula?

The centre point of a straight line can be located using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.

We are given that Q is the midpoint of segment PR and point P is (11,-2) and point Q is (-2,3).

Let the coordinates of R be (x₂, y₂)

Using Mid point formula, we get

⇒Point Q = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

⇒(-2,3) = ((11 + x₂) / 2, (-2 + y₂) / 2)

So,

⇒-2 = (11 + x₂) / 2

⇒-4 = 11 + x₂

x₂ = -15  

Similarly,

⇒3 = (-2 + y₂) / 2

⇒6 = -2 + y₂

y₂ = 8

Hence, the coordinates of R are (-15, 8).

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In this picture, the white ball _____________ its momentum to the red ball. fill in the blank.

Answers

The white ball is transferring its momentum to the red ball.
The missing blank is "transferring".

What is the law of conservation of momentum?

The statement "the white ball is transferring its momentum to the red ball" is based on the law of conservation of momentum.

According to this law, the total momentum of a closed system (in which no external forces act on the system) is conserved. This means that the momentum lost by one object in the system must be gained by another object in the system.

So we can conclude that, in the picture, the white ball and the red ball together form a closed system, and the collision between them causes the white ball to transfer some of its momentum to the red ball, in accordance with the law of conservation of momentum.

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Match the cylinder in the left column with its surface area in the right column

Show work please!! I need this ASAP

Answers

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

The surface area of a cylinder is:

Surface area = 2πr(r + h)

where r is the radius and h is the height

1) r = 5 in., h = 11 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²

2) r = 6 in., h = 10 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²

3) r = 2 in., h = 12 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

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Suppose you're deciding where to order a Hawaiian pizza, and waiting time is a concern of yours. You're considering Krazy Karl's Pizza where the average waiting time is 64 minutes, with a standard deviation of 4. 5 minutes. Or, you might call Domino's Pizza where the average waiting time is 54. 6 minutes, with a standard deviation of 8. 1 minutes.

Z-score for a waiting time of

65 minutes at Krazy Karl's: 0. 222

61. 1 minutes at Domino's: 0. 802

1. How many standard deviations away from the average is a wait time of 71. 8 minutes from Krazy Karl's?

2. About 50% of wait times from Krazy Karl's are smaller than ___ minutes

3. About 95% of wait times for Krazy Karl's are approximately between __ minutes and __ minutes.

4. About 99. 7% of wait times for Domino's are approximately between___ minutes and ___ minutes.

5. How long would you have to wait for a Domino's pizza to be in the same percentile as a wait time of 74 minutes from Krazy Karl's? In other words, what wait time for Domino's is "equivalent" to a wait time of 74 minutes from Krazy Karl's?

6. How long would you have to wait for a Krazy Karl's pizza to be in the same percentile as a wait time of 54 minutes from Domino's? In other words, what wait time for Krazy Karl's is "equivalent" to a wait time of 54 minutes from Domino's?

Answers

Answer:

vydbskehhwbe

Step-by-step explanation:

bshhdvjebheunsns

(1 point) The radius of the circle with a central angle of 6 radians that intercepts an arc with length 88 cm is _____ cm. The radius of the circle with a central angle of 120° that intercepts an arc with length 17 miles is_____ miles.

Answers

The radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.

The radius of a circle can be found by using the formula s = rθ, where s is the length of the arc, r is the radius, and θ is the central angle in radians. Rearranging the formula, we can find the radius by dividing the length of the arc by the central angle: r = s/θ.

For the first part of the question, we are given an arc length of 88 cm and a central angle of 6 radians. Plugging these values into the formula, we can find the radius:

r = 88 cm / 6 radians = 14.67 cm

For the second part of the question, we are given an arc length of 17 miles and a central angle of 120°. However, we need to convert the central angle from degrees to radians before plugging it into the formula. We can do this by multiplying the angle in degrees by π/180:

120° × π/180 = 2π/3 radians

Now we can plug the values into the formula to find the radius:

r = 17 miles / (2π/3) radians = 8.11 miles

So the radius of the first circle is 14.67 cm and the radius of the second circle is 8.11 miles.

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Quadratic worded question
The owner of a fish shop bought x kilograms of salmon for $400 from the wholesale market. At the end of the day, all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. From the sale of the fish, a total of $540 was made. Calculate how many kilograms of salmon the fish-shop owner bought at the market.

Answers

Answer: 23 kg

Step-by-step explanation:

Let's begin by using algebra to solve the problem.

Let x be the number of kilograms of salmon the fish-shop owner bought at the market.

We know that the total cost of the salmon was $400, so we can write:

400 = x * c

where c is the cost per kilogram of salmon.

We also know that all except for 2 kg of the fish were sold at a price per kg that was $10 more than what the owner paid at the market. So the price per kilogram of salmon at the fish shop was c + 10.

The total revenue from the sale of the fish was $540, so we can write:

540 = (x - 2) * (c + 10)

Now we can use these two equations to solve for x.

First, we can use the first equation to solve for c:

c = 400 / x

Then we can substitute this expression for c into the second equation:

540 = (x - 2) * (400/x + 10)

Simplifying this equation:

540 = 4000/x + 10x - 20 - 80/x

Multiplying both sides by x:

540x = 4000 + 10x^2 - 20x - 80

10x^2 - 20x - 4600 = 0

Dividing both sides by 10:

x^2 - 2x - 460 = 0

We can solve for x using the quadratic formula:

x = [2 ± sqrt(4 + 4*460)] / 2

x = [2 ± 44] / 2

Discarding the negative solution, we get:

x = (2 + 44) / 2

x = 23

Therefore, the fish-shop owner bought 23 kilograms of salmon at the market.

the numbers 2.888... and 2.999... are both rational numbers. What is an irrational number the is between the two rational numbers?

Answers

2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.

What is a rational number, with an example?

Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.

A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.

An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.

So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc

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Question 2 of 10
Solve the inequality for x and identify the graph of its solution.
|x+3|< 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
411
O
-8 -7 -6 -5 -4 -3 -2 -1 0 12
B. Solution: x>-5 and x < -1
+
O11
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
OC. Solution: x>-5 and x < -1
O
-8-7-6 -5 -4 -3 -2 -1 0 1 2
OD. Solution: x < 1 or x>5
O
-2 -1 0 1 2 3
3
4
O
5 6 7 8

Answers

The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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hey you can you stop and help me look at the picture pls and thx then can you answer pls

Answers

The line which is not transversal to LR would be Line TK.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Properties of Parallel Lines Cut by a Transversal

The corresponding angles are equal and the vertically opposite angles are equal.

The alternate interior angles are equal and the alternate exterior angles are equal.

Also, pair of interior angles on the same side of the transversal is supplementary.

Since we know that transversal is a line that intersects two or more other lines at different points.

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Line TK is not transversal to line LR.

What are parallel lines?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines. We can also say Parallel lines meet at infinity.

Given,

Line PR and KT are parallel

By the figure,
PR = LR

and KT = TK
PR || KT

∴ LR || TK

Hence, TK is the line, that is not the transversal line to LR.

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If you were counting by 4's, what are the next three numbers you would
count?
56, 60, 64, 68, ?, ?, ?...
OA. 72, 80, 88
OB. 76, 80, 84
C. 72, 76, 80
OD. 60, 64, 68

Answers

Answer: The answer would be C

Step-by-step explanation:

If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80

If you add up it is C

Please asp 50 points and brainly

Answers

Answer:

A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%

Which graph shows the solution to the inequality? x + 2 < -3 A) A B) B C) C D) D

Answers

Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.

What does inequality imply in reality?

Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.

Here,

Option B) B is the proper response.

We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:

=> x < -5

According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,

we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.

Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.

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In triangle ABC, Angle C is a right angle. Find the value of the trig function. Find the Tan A if c=7√10 and a=21

Answers

Answer:

tan A= 8/15

draw triangle where A and B are legs and C is hypotenuse

A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)

8^2+b^2=17^2

64+b^2=289

b^2=225

b=15

tan= opposite/adjacent

tan A=8/15

The scale factor of two similar hexagons is 3:7. The area of the smaller hexagon is 18 m2. What is the volume of the larger hexagon?


42 m2


36 m2


98 m2


5832 m2


324 m2

Answers

The area of the hexagon is 98 sq. m and option 3 is the correct answer.

What is a hexagon?

The closed polygonal form of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, while regular octagons have 8 equal sides. When these requirements are not satisfied, polygons might resemble many other asymmetrical forms. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the identical triangle.

Given that,

The scale factor of two similar hexagons is 3:7.

The ratio of the area will thus be,

(3/7)^2 = 9/49.

For the area of the smaller hexagon as 18 we have:

9/49 = 18/A

(9/49)A = 18

Multiplying both sides by 49/9, we get:

A = 98 sq. m

The volume of the hexagon cannot be determined by the given information.

Hence, the area of the hexagon is 98 sq. m and option 3 is the correct answer.

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Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?

Answers

Answer: 3

Step-by-step explanation:

39 divided by 13 is equal to 3

there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3

Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two

PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!

Answers

1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.

2. The slope (m) = 3; y-intercept (b) = -86;

The equation for the situation is: y = 3x - 86

3. Median of class A = 40; Median of class B = 8

The difference is: 32

What is the Y-intercept of a Linear Equation?

In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.

1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.

2. The slope (m) = unit rate = 3 degrees every hour

The starting value = y-intercept (b) of the situation = -86

To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:

y = 3x - 86

3. Median is the middle value of a data set, therefore:

Median of class A = 40

Median of class B = 8

The difference between the medians of the class = 40 - 8 = 32

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Solve Show all steps
(x^3/2)^6/5 =x^a

Answers

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

The value of a after solving through exponents = 9/5

What are exponents?

The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.

For instance, the result of multiplying the number 6 by itself four times is:

6 × 6 × 6 × 6. You can write this as

Now here,

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

Therefore, the value of a = 9/5.

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James spent 2/5 of his pocket money on snacks and 1/4 of the remaining amount on snacks a) Calculate the fraction of his pocket money spent on snacks. b)calculate his pocket money if he still has$9.00 left​

Answers

Answer: about 26.00

Step-by-step explanation:

Other Questions
Brainstorm question, If you think of the protein as a traveler,what kind of vehicle would best describe the sorting vesicles: aprivate car, a taxi or Uber, or a bus? CASE STUDYGM recalling 7 million vehicles for airbag problems after losing fight with safety regulator GM is recalling 7 million pickups and SUVs worldwide with airbags made by the same manufacturer whose airbags are linked to at least 17 deaths in the United States. The National Highway Traffic Safety Administration ordered a US recall on Monday, rejecting GM's argument that this version of the airbags didn't need to be replaced. The recall centers on a defect in airbags made by Takata, a now-bankrupt Japanese manufacturer, that caused the bags to explode, spraying shrapnel through the vehicle. In addition to the deaths, other drivers or passengers have been blinded or maimed. The decision comes more than six years after initial recalls linked to the Takata airbags began in 2014, ultimately becoming the largest auto recall in history. Prior to Monday's announcement, the US portion of the recall had already reached 63 million airbags in roughly 40 million vehicles. The airbag scandal has led to a slow and painful demise for Takata, which started out as a textile manufacturer more than 80 years ago and later came to specialize in seat belts and other auto safety equipment. "The sad saga of Takata ... has resulted in the implosion of one of the automotive industry's oldest and most successful suppliers due to technical hubris, mismanagement and a systemic corporate culture of manipulation," said Scott Upham, the CEO of Valient Market Research. Earlier this year, Takata admitted to manipulating and withholding key information about the faulty inflators for years, even after they started exploding in people's cars. It pleaded guilty in the U.S. to a criminal charge of wire fraud for which it will have to pay $1 billion, including a $125 million fund to compensate victims and their families. GM had previously recalled nearly 800,000 vehicles with Takata airbags, but had argued that its tests showed the airbags in these additional vehicles, which have a different kind of inflator than the devices in the earlier recall, did not pose a threat. The dispute between GM and the safety regulator has been going on for four years. On Monday, NHTSA rejected GM's argument and ordered it to recall 5.9 million of the vehicles registered in the United States. "NHTSA concluded that the GM inflators in question are at risk of the same type of explosion after long-term exposure to high heat and humidity as other recalled Takata inflators," said the agency. GM said it would comply by recalling those domestic vehicles and another 1.1 million of the same models elsewhere in the world. But it said it remains convinced the airbags do not pose a threat. "We believe a recall of these vehicles is not warranted based on the factual and scientific record," said GM. "However, we will abide by NHTSA's decision and begin taking the necessary steps." The latest recall will be expensive for GM, costing the automaker about $1.2 billion according to its most recent annual financial report early this year. Because of Takata's bankruptcy, GM will have to pay all costs itself. The company expects to spend about $400 million next year, and the additional funds in subsequent years. Only about 75% of the earlier recalled GM vehicles have been brought in to be fixed despite the fact that the recall started more than six years ago. The recalls are done at no cost to the vehicle owners. There is no deadline by which recalled vehicles must be repaired or replaced. The recall covers the Cadillac Escalade, the Chevrolet Avalanche, Silverado, Suburban and Tahoe and the GMC Sierra and Yukon, with model years 2007 to 2014. Question 1 According to the case above, it is clear that Takata did not meet all the criteria for supplier for a good supplier. Citing evidence from the case, explain the factors that GM did not consider when selecting Takata as a supplier. Question 2 Supply management must maintain a number of communication flows and linkages between other key groups within and external to the organisation. Explain GM's supply management's relationships with internal linkages, within the organisation as well as external linkages that may have been important in avoiding the mistakes in supplier selection. One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A, B, C, and D have 20, 50, 60, and 25 units of on-hand inventory, respectively. Items A, B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D, E, and F require multiples of 50, 100, and 100, respectively, to be purchased. B has schedule receipts of 30 units in Period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C, E, and F. Gross requirements for A are 20 units in Period 1, 20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items. PART II - Create Your Own CladogramTo make a cladogram, you must first look at the animals you are studying and establish characteristics that they share and ones that are unique to each group. For the animals on the table, indicate whether the characteristic is present or not by placing an X in the box. Based on that chart, create a cladogram like the one in part I. Add lines and drag the different photos and labels to their correct locations based on their characteristics. Taxation and Fundamentals of Tax Planning (HPAC4009) 21/22 ASSIGNMENT 1Noel is employed by Global Inc ("Global"), a consultancy company in the US as project manager since 2015. His employment contract was discussed and signed in New York and his salary is paid directly into his bank account in New York. In April 2020, he was assigned to Hong Kong to handle a project for two years for the Hong Kong branch of Global. But he still reported his duties to head office in the US. The project required research to be conducted in the PRC and Hong Kong. During the year ended 31 March 2021, he worked for 145 days in Hong Kong, and 220 days in the US and PRC. (Assume 365 days in the year of assessment 2020/21)The following are the information for the year of assessment 2020/21:-(1) Salary for the year HK$1,400,000(2) Bonus HK$340,000(3) Noel lives with his family in a 2-rooms serviced apartment in Causeway Bay. The rental of the apartment is HK$30,000 per month and this is paid by Global. Noel paid HK$12,000 to join the clubhouse and was reimbursed half of this amount by Global as he would meet clients at the clubhouse for the purpose of fostering business contracts.(4) During the year, Noel paid HK$25,000 to his family doctor for medical consultations in respect of his family. Noel produced all the medical receipts but Global only approved and reimbursed HK$10,000. Global has not established any medical insurance scheme.(5) Global provided Noel with a car and a driver. The car was leased from a car agency in the name of Global, at a monthly rental of HK$6,000. The driver was hired by Global at HK$9,600 per month. The total petrol and maintenance costs for the car for the year were HK$80,000, all of which were paid by Noel and reimbursed by Global. Noel estimated that about 20% of the usage of the car did not relate to Globals business.(6) Global employed an amah for Noel at a cost of HK$4,500 per month and refunded Noel his utilities bills, which were HK$34,000 for the year.(7) In January 2021, Noel donated HK$44,000 to the Hong Kong Red Cross.(8) Noel contributed HK$20,000 to a retirement scheme in the US.(9) Noels wife was not working. He maintained his unmarried daughter (aged 20) who is now studying a full-time degree program in the US.(10) Noels father-in-law, aged 65, lives in a registered care home in Hong Kong and he paid care expenses of HK$120,000 during the year.REQUIRED:Q.1 Analyze with reasons the location of Noels employment with Global. (5 Marks)Q.2 Compute the Hong Kong salaries tax liability of Noel for the year of assessment 2020/21. Ignore any provisional tax and tax rebate.(20 Marks) (Total 25 marks) Due date: 7 March 2022 9:00AM Submitted to Soul, No marks for late submission Handwritten on A4 sized paper and scan in PDF formatExpert Answer Section of the Play: (A2, S3, L1-35) Speaker: Porter Writing Prompt: How do you see the Porters role in the play?Does he provide comic relief?Is he a messenger of sorts?Does his character serve some other function?What effect would omitting him have on the play?Map out the play so far. What do you think will happen next? Why do you think this? Alam Tegar Bhd has issued bonds with a par value of RM1,000 and a maturity period of three years. The yearly coupon rate offered is 10%. Rating Agency Malaysia Berhad (RAM) has given a rating of AAA to the bonds of Alam Tegar Bhd. If the bonds were sold at the price of RM980, what is the yield to maturity (YTM) of the said bond? As a anesthesia technician, think about the terminology and how the composition and conditions are used in the words. Explain what you are understanding about hematology terminology, blood composition and conditions. Do you agree with Han government and why (PLS HELP!!) In the rectangle below, EI=3x+6, EG= 5x + 16, and mFind the value of x and m ZIHE. i ijijiijiiiiiiiiiiiiiiiiiiiiiii Fluorescent lighbulbs have lifetimes that are normally distributed with a mean of 5.2 years and a standard deviation of 1 years.The figure below shows the distribution of lifetimes of fluorescent lightbulbs.Calculate the probability that a randomly chosen Fluorescent lighbulb lifetime will be between 3.2 and 6.2. the best method of judging a police department's performance is byA. crime statisticsB. arrest ratesC. citizen satisfactionD. conviction rates For a function f(x) and a particular input value x=a, then we may write the difference quotient as(f(a+h)f(a))/hwhere h0.Now, let Q(x)=3x^2+5x+10 and consider the input value a=3. We could now write the difference quotient as(Q(3+h)Q(3))/hwhere h0h0.Use this difference quotient to calculate the average rate of change of f(x) from x=3 to x=3+h for the following particular values of h.When h=0.2, the average rate of change of Q(x) is? Enumerate the skeletal muscles kf the cat and give their origin,insertion, and action. Tabulate the answer. The image shows Hadrians Wall.The remains of a stone wall across hills.What can this image tell historians about the people who built the wall?the amount of time they spent building the wallthe division of labor within their societythe kinds of tools and technology they usedthe types of roads constructed within their society What is one characteristic of a complex sentence?A. It states an author's purpose for writing as well as his or heropinion on a topicB. It contains two or more simple sentences joined together. c. It has at least one dependent and one independent clause.D. It consists of one clause covering one main idea.SUBMIT Determine the length and width of a rectangle if the perimeter is 26 and the length is four more than twice the width Read the excerpt from act 1, scene 3 of The TragedyMacbeth.Macbeth. [Aside.] Glamis, and Thane of Cawdor:The greatest isbehind. [To ROSS and ANGUS.] Thanks for yourpains.[To BANQUO.] Do you not hope your childrenshall be kings,When those that gave the Thane of Cawdor tomePromis'd no less to them?Which statement best describes the appeal Macbeth makes in these lines?A. He makes a logical appeal to Ross and Angus that proves why he deserves the title of thane of Cawdor.B. He makes an emotional appeal to Ross and Angus that details why he is worthy of the title of thane of Cawdor.C. He makes an emotional appeal to Banquo to ask about the aspirations he has for his offspring.D. He makes a logical appeal to Banquo by givingevidence of who the rightful heir to the throne is. Describe how minerals form.