An airplane climbs at an angle of 40 degrees with the ground. What is the ground distance it has traveled (to the nearest 100 ft) when it has attained an altitude of 2400ft

Answers

Answer 1

The airplane has traveled a ground distance of 2900 ft when it has attained an altitude of 2400 ft at an angle of 40 degrees with the ground.

Determine ground distance

The ground distance that the airplane has traveled can be found using the trigonometric function of tangent. The tangent of an angle is the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the altitude (2400 ft) and the adjacent side is the ground distance we are trying to find.

We can use the formula:

tan(angle) = opposite/adjacent

Plugging in the given values:

tan(40) = 2400/adjacent

Solving for the adjacent side (ground distance):

adjacent = 2400/tan(40)

Using a calculator, we can find the value of tan(40) and then divide 2400 by that value to get the ground distance:

adjacent = 2400/0.8391

adjacent = 2860.67 ft

Rounding to the nearest 100 ft, the ground distance is 2900 ft.

Therefore, the airplane has traveled a ground distance of 2900 ft when it has attained an altitude of 2400 ft at an angle of 40 degrees with the ground.

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Related Questions

PLEASE HELP ASAP‼️‼️ I just need the measurements for s and n

Answers

s should be 121° and n should be 15°

d of a transverse wave is 25 m/s, if the source produces a disturbance that has a frequency of 200 Hz, what is the wavelength of the wave?

Answers

The wavelength will be "0.125 m".

What are Frequency and Wavelength?

The wavelength, as well as frequency, have an inverse relationship. It shows  that whenever a short wavelength exists, a high frequency exists, and when a big wavelength exists, a lower frequency exists.

The distance of a single wave-particle travels after completing one oscillation would be its wavelength.

According to the given information,

Speed of transverse, s = 25 m/s

Frequency, f = 200 Hz

We know the formula,

Wavelength, λ = velocity/ frequency

By substituting the values, we ger

λ = 25/200

 λ = 0.125

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Need help???!!!! Please

Answers

Answer:  -2 and -8

Explanation:

Here are all of the ways to factor 16 using positive whole numbers

1*162*84*4

Which of those add to 10? That would be 2+8 = 10

Now make each of those numbers negative

-2 times -8 = 16-2 plus -8 = -10

The order of the -2 and -8 doesn't matter. Use a number line to help see why -2 plus -8 = -10.

big augie's pizza now offers triangle shaped pizzas. how long must the sides fo the pizza be to the nearest inch equal the size of a round pizza with a 17 inch diameter?

Answers

Answer:

Step-by-step explanation:

The area of a round pizza with a 17 inch diameter is:

A = πr^2 = π(8.5)^2 ≈ 226.98 square inches

To find the length of the sides of a triangle with the same area, we can use the formula for the area of a triangle:

A = (1/2)bh

where b is the base of the triangle and h is the height.

Since the triangle is equilateral (i.e., all sides are equal), the base and height are the same. Let's call this length x. Then:

A = (1/2)bh = (1/2)x(x/2) = x^2/4

Setting this equal to the area of the round pizza, we get:

x^2/4 = 226.98

Multiplying both sides by 4, we get:

x^2 = 907.92

Taking the square root of both sides, we get:

x ≈ 30.13

So the sides of the equilateral triangle should be about 30.13 inches long to have the same area as a round pizza with a 17 inch diameter. Rounded to the nearest inch, the sides of the triangle should be 30 inches long.

PLEASE HELP MEEE
find the lateral area of a cone with a radius of 7ft and a slant height of 13ft use 3.14 for and round to the nearest tenth ADD EXPLANATION!!!!

Answers

The lateral area of the cone with a radius of 7ft and a slant height of 13ft is 285.7 ft².

What is the lateral area of the cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The lateral area of a cone is expressed as;

A = π × r × l

Where r is radius and l is slant height.

Given the data in the question;

Radius r = 7ftSlant height h = 13ftLateral area A = ?

Plug the given values into the above formula and solve for the lateral area of the cone.

A = π × r × l

A = 3.14 × 7ft × 13ft

A = 285.7 ft²

Therefore, the lateral area is 285.7 square feet.

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Click to show whether each function is linear or non-linear.

Answers

The linear equation is f(x) = 2^2 + x, while the other two functions are nonlinear functions

How to determine the function types

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

The three equations

A linear equation is any equation that has a degree of 1

From the three equations, we can see that

Degree = 1

Degree = 2

Degree = 3

Hence, the linear function is f(x) = 2^2 + x

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Andrea has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 8 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?

Answers

Andrea has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8 mph and walks back at a speed of 2 mph, she will spend 72 minutes walking back.

What is Time?

This is referred to as the measured period during which an action, process, or condition exists or continues .

'x' rill represent the amount of time spent running in hours, then 3-x represents the time spent walking in hours.

Distance = Speed × time

Distance = 8x

Speed = 2mph

Time = (6-x)hours

Substitute the values

8x = 2 (6-x)

8x = 12 - 2x

10x = 12

x = 12/10 = 6/5

6/5 × 60 = 72minutes.

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1/2 minus (1/8+1/8) I need help can somebody give me advice on this

Answers

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Add 1+1=2

Cancel CF which is 2

Now you will be with

1/2 - 1/4

Calculate


Solution

1/4

what is the coefficient of x^4y^4 in the expansion of (x+y)8?

Answers

The coefficient of the term x⁴y⁴ as required to be determined in the task content is; Choice C; 70.

What is the coefficient of the term x⁴y⁴ in the given expansion.

By observation, since the expansion is to the eighth power, it follows that the number of terms in the expansion would be 9.

On this note, the x⁴y⁴ term would be the 5th term whose coefficient would be; ⁸C⁴.

Therefore, the coefficient of the x⁴y⁴ as required would be; 70.

Ultimately, Choice C is correct.

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In AKLM, KL || NO. Given that MN=15, ML=48, and MO=20, find MK.
MK =

Answers

The length of MK is given as follows:

MK = 36.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

Congruent angle measures.Proportional side lengths.

The similar triangles for this problem are given as follows:

MNO and MKL.

Hence the proportional relationship for the side lengths is given as follows:

15/MK = 20/48

Applying cross multiplication, the length MK is given as follows:

20MK = 15 x 48

MK = 15 x 48/20

MK = 36.

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what would be the rate of change

Answers

The rate of change of the table is $0.8 per pencil

How to determine the rate of change

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

The table of values

Using the above as a guide, we have the following:

Rate of change = Cost/Pencils

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

Rate of change = 6.4/8

Evaluate

Rate of change = 0.8

Hence, the Rate of change is $0.8

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Alonzo borrowed money from a credit union for 2 years and was charged simple interest at an annual rate of 8%. The total interest that he paid was $1120.
How much money did he borrow?
If necessary, refAssignmener to the list of financial formulas.
$1

I need help quick

Answers

The money borrowed by Alonzo at a simple interest rate of 8% for a time period of 2 years is $7000.

What is simple interest?

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed). It is not the same as a fee that the borrower might pay to the lender or another entity.

Borrowers must pay lenders simple interest as a fee in exchange for a loan. For simple interest calculation, compounding interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

Given,

 Time period = 2 years

Rate of interest = 8%

The simple interest paid at the end of 2 years = $ 1120

The money borrowed or the principal amount is

Simple interest = (Principal amount *  rate * time)

1120                  = P * 0.08 * 2

P = 1120/0.16 = $7000

Therefore the money borrowed by Alonzo at a simple interest rate of 8% for a time period of 2 years is $7000.

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if milk cost 0,58 per gallon how much would 3 1/2 cost

Answers

0.58 x 3 = 1.74

0.58/2 = 0.29

1.74 + 0.29 = 2.03

Therefore, your answer is £2.03

Hope that helped!

X/1.2 - 18 - 2 Please help right answer gets brain liest and 15 points.

Answers

Answer:

= x-24

Step-by-step explanation:

[tex] \frac{x}{1.2} - 18 - 2 \\ = 1.2 \times \frac{x}{1.2} - 1.2 \times 18 - 1.2 \times 2 \\ = x - 21.6 - 2.4 \\ = x - 24[/tex]

Lelah has budgeted $135
for new clothes. She decides to buy a pair of shoes that cost $35.25,
and then she buys some $18.25
shirts.

Which inequality represents this situation, where s
is the number of shirts she can buy?

Answers

The inequality that  this situation, where s is the number of shirts she can buy is S>81.5.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We are given that;

Budget of lelah for clothes= $135

For shoes= $35.25

For shirts= $18.25

Now,

S+$18.25+35.25>135

S>135-18.25-35.25

S>135-53.5

S>81.5

Therefore, the inequality will be S>81.5.

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Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?

Answers

The required quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
A quadratic function can be written in the general form:

f(x) = ax² + bx + c

where a, b, and c are constants.

Given a leading coefficient of 3 and a constant term of -12, we can write the quadratic function as,

f(x) = 3x² + bx - 12

Therefore, a quadratic function having a leading coefficient of 3 and a constant term of –12 is f(x) = 3x^2 + bx - 12.

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The quadrilateral is a trapezoid. What is the value of x? if the top is 21 and the bottom is 27 and x is in the middleA) 4B) 5C) 48D) 25

Answers

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Exponential Growth and Exponential Decay

There are 30 bacterial cells on a petri dish. each hour the number of cells doubles. after 5 hours, how many cells are there

a) Identify if it is growth or decay.
b) Write an equation to model the situation
c) Answer the question.

Answers

a) This situation represents exponential growth, as the number of bacterial cells is doubling every hour.

b) Let N be the number of bacterial cells on the petri dish at time t in hours. The equation to model the situation is:

N = 30 x 2^t

This equation represents exponential growth, as the number of bacterial cells is doubling every hour. The initial number of bacterial cells is 30 (when t = 0), and the number of bacterial cells at any time t is given by multiplying the initial number by 2 raised to the power of t.

c) After 5 hours, the number of bacterial cells on the petri dish is:

N = 30 x 2⁵ = 30 x 32 = 960

So there are 960 bacterial cells on the petri dish after 5 hours.

The exponential growth and exponential decay

The math subject that is relevant to the case above is exponential growth and exponential decay. These are mathematical concepts that describe the behavior of quantities that increase or decrease at a constant percentage rate over time.

Exponential growth refers to a situation where a quantity grows at a constant percentage rate over time. In the case above, the number of bacterial cells doubles every hour, which is an example of exponential growth.

Exponential decay, on the other hand, refers to a situation where a quantity decreases at a constant percentage rate over time. An example of exponential decay could be the decay of a radioactive substance.

In summary, the case above involves the mathematical concept of exponential growth, which is a key concept in the field of mathematics and has important applications in fields such as biology, economics, and finance.

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is it always true (Dm x Dn)(X) = Dmn(X)

Answers

No,
It has to be:
Dm*Dn

Answer:

No

Step-by-step explanation:

is it always true (Dm x Dn)(X) = Dmn(X)?

NO

(Dm x Dn)(x) = D²xmn

which terms are used to describe events that have no outcomes in​ common?

Answers

The term used to describe events that have no outcomes in common is called "Mutually Exclusive."

Probability is a measure of how likely an event is to occur. The probability of an event ranges from 0 to 1, where 0 means that an event will not occur, and 1 means that an event will certainly occur.

In Mutually Exclusive events, the probability of both events happening at the same time is 0, which means that the outcome of one event completely eliminates the possibility of the outcome of the other event. The probability of getting heads and tails at the same time is 0, as it is impossible for the coin to show both heads and tails at the same time.

In mathematical terms, Mutually Exclusive events are represented by

=> P(A) + P(B) = P(A or B),

where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A or B) represents the probability of either event A or B occurring.

To summarize, Mutually Exclusive events are events that have no outcomes in common and have a probability of 0 of occurring simultaneously.

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What is the percentage of data between 20 - 50?

Answers

The percentage of data between 20 and 50 is 25%

How to determine the percentage of data

The boxplot in the complete question is added as an attachment

From the attached box plot, we have

From the given box plot it is clear that 20 is the median and 50 is the third quartile.

As a general rule:

There are 25% of data values between the median and the third quartile.

Hence, 25% of the data values are between 20 and 50.

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The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph? (–4, 2) (–3, 1) ( –2, 5) ( –1, 2)

Answers

The point (- 1, 2) lies on the new graph.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The graph of f(x) = |x| has been translated left 2 units and up 1 unit.

Now, The function is,

⇒ f (x) = |x|

After translated 2 unit left we get;

⇒ f (x) = |x + 2|

And, After translated 1 unit down we get;

⇒ f (x) = |x + 2| + 1

Now, We can check all the given points as;

For point (- 1, 2);

Put x = -1 , f (x) = 2;

⇒ f (x) = |x + 2| + 1

⇒ 2 = |- 1 + 2| + 1

⇒ 2 = 1 + 1

⇒ 2 = 2

Thus, The point (- 1, 2) lies on the new graph.

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math trigonometry question​

Answers

Hence, combine all the solutions we get,

[tex]x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,[/tex][tex]x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n[/tex].

What are trigonometric identities?

Trigonometric identities are equalities which involves trigonometric functions which are true for every value of variables that occur on both sides of the identities.

Given,[tex]3\sin \left(2x\right) = 2\cos \left(x\right)[/tex]

[tex]3\sin \left(2x\right)-2\cos \left(x\right)=0[/tex]

Using trigonometric identities, [tex]sin2x= 2sinx cosx[/tex]

we get,[tex]-2\cos \left(x\right)+6\cos \left(x\right)\sin \left(x\right)=0[/tex]

Taking [tex]2cos(x)[/tex] as factor, we get,

⇒[tex]2cos(x)(3sin(x) -1)[/tex]

⇒[tex]2cos(x) = 0 , (3sin(x) -1)=0[/tex]

⇒[tex]cos (x)= 0[/tex] for x= [tex]x=\frac{\pi}{2} +2n\pi,\frac{3\pi}{2} +2\pi n[/tex] and

[tex](3sin(x) -1)=0 for x= sin^{-1} (\frac{1}{3} )+ 2\pi n , sin^{-1 }(\frac{1}{3})+2\pi n[/tex]

Hence, combine all the solutions we get,

[tex]x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,[/tex][tex]x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n[/tex].

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Two boys are comparing how fast they are growing Alex is 60 in tall and growing at a rate of 1/4 of an inch every month Leo is 48 in tall and growing at a rate of 1/2 of an inch every month where will they be at the same height

Answers

The boys will have same the height after 48 months.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two boys are increasing with the rate of 1/4 and 1/2 of an inch every month, they have height 60 in and 48 in, will need to find that when will they have equal height,

The height increased in x month of them is given by,

x/4 + 60 or x/2 + 48

Let they have equal height after y months,

y/4 + 60 = y/2 + 48

y/4 = 12

y = 48

Hence, the boys will have same the height after 48 months.

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2. Which of the following is a decreasing exponential function whose y-intercept is 20?
(1) y=20
20()*
(2) y=20
(3) y=-2x+20
-()*
(4) y=
+20

Answers

An exponential function of the form y = 20aˣ can be 20 at the y-intercept

when a = 1.

What is an exponential function?

An exponential function in which the independent variable is the exponent.

An exponential function can be written in the form as, y = aˣ, where a is a constant and 'x' is the variable.

We know, the y-intercept is when the value of x = 0.

Therefore, An exponential function of the form y = 20aˣ can be 20 at y-intercept when a = 1.

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The residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 5to 6. if there were 10,604total votes, how many yes votes were there?

Answers

The number of yes votes would be 4,836.

Solution:

Given,

The ratio of yes votes to no votes is 5:6. So, assuming the actual values of yes votes and no votes be 5x and 6x respectively. We can frame an equation as follows,

5x + 6x = 10,640

=> 11x = 10,640

=> x = 967.27272727

So, the number of yes votes would come out to be,

5*967.272727 = 4836.3636

Since the answer can not be a fractional integer,

therefore, we will round it up to 4,836.

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A boat travels about 8 kilometers per hour in
still water. If the boat is on a river that flows at a
constant speed of kilometers per hour, it can
travel at a 8 + r speed of kilometers per hour
downstream and 8 − r kilometers per hour
upstream. On the Chattahoochee river, the
boat can travel 4 kilometers upstream in the
same amount of time it takes to travel 12
kilometers downstream. What is the speed of the
river?

Answers

The speed of the river is given as follows:

4 kilometers per hour.

How to obtain the velocity of the river?

The lowest speed that can be assumed by the boat is given as follows:

8 - r.

In which r is the speed of the river.

The lowest velocity is of 4 kilometers per hour, hence the speed of the river is obtained as follows:

8 - r = 4

r = 8 - 4

r = 4 kilometers per hour.

Then the maximum velocity is of:

8 + 4 = 12 kilometers per hour.

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does this table represent a proportional relationship

Answers

Yes, the table represents the proportional relationship.

What is proportional relationship?

The proportional relationship between the variables {x} and {y} is such that -

y/x = K {constant}

y = Kx

y₁/x₁ = y₂/x₂ = k  

A proportional relationship is represented by a straight line {where K is the slope}. It is concluded from the fact that the equation of the straight line passing through origin is of the form y = mx.

Given is a table as shown in the image.

For a direct or proportional  variation -

y₁/x₁ = y₂/x₂ = k                                                {k is constant parameter}

1/2 = 2/4 = k {constant}

1/2 = 1/2 = k {constant}

Therefore, yes, the table represents the proportional relationship.

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Graphing quadratics find: y = - x^2 + 6x - 4

Axis of symmetry:


Vertex:


With process pls.

Answers

Answer:

Axis of Symmetry is 3 or x=5

vertex is (3,5)

Step-by-step explanation:

the vertex is either the highest or the lowest point on a quadratic function's graph, here (3,5) is the highest point, therefore it is the vertex.

Axis of symmetry is usually always the x value of the vertex, that is that in (3,5). 3 is the axis of symmetry. This is because along the line x=5 the graph shows perfect symmetry

please do say thanks.

I am stuck on both of these questions.

1. Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal

x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw a line on your graph. What is the slope of line a?


2. What is the equation of line a?


I think this is the graph I need to use I am not sure.

PLEASE HELP. ASAP ALMOST DUE?????

Answers

A linear function is demonstrated by the line a.

Line a has a slope of one.

Y = x + 2 is the equation for the line a.

How do you calculate a line's slope?

Following points on line a (x,y) = (0,2) and are available in the figure (2,4)

Calculating the slope (m) involves using:

m= y^2-y^1/x^2-x^1

This results

m= 4-2/2-0

Analyze m = 1

Consequently, the line's slope is 1.

The formula for line a

The formula for this is y = m(x - x1) + y1.

We thus have:

y = (x - 0) + 2

y = x + 2: Compare the difference and the result.

Consequently, y = x + 2 is the equation for the line a.

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How does Dr. Jekyll's confession reveal the struggle between the good and evil sides of his character? Select 2options.O It provides the chemical formula needed for making a change.O It provides an explanation of Dr. Jekyll's medical background.O It allows readers to see events from Mr. Hyde's reckless perspective.O It allows readers to see events from Dr. Jekyll's sorowful perspective.O It allows readers to see events from Mr. Utterson's curious perspective. How do the emergent properties the cells the gastrula direct embryonic development? What would happen if the US devalued its currency? by definition, a is an individual or organization that exhibits characteristics similar in nature to those exhibited by current customers. What is 11 in Binary? How does Azure calculate cost? jow do you find the answer? What bacterial disease is second only to HIV/AIDS in the number of people killed worldwide by a single infectious agent? the direct order of organizing information in a message is likely to produce the most effective result in question 9 options: a. a letter to the parents of a student regarding his absenteeism. b. an email to a vendor giving the reasons for no longer buying from him. c. a memo to an employee informing her of the termination of her service. d. an email praising the best-performing employees of the quarter. e. a letter to a customer apologizing for the non-availability of a product. Imagine two genes, C and D, that are unlinked. A diploid individual with genotype CD/cd makes gametes with no errors in meiosis. What percent of that individual's gametes are expected to be CD?O 25O 24O 22O 26 The hypotenuse of a right triangle measures 13 cm and one of its legs measures 1cm. Find the measure of the other leg. If necessary, round to the nearest tenth. in a centrifuged sample of blood, what makes up the buffy coat? explain about ucsb syllabus bank A large truck of mass 4m is traveling at a speed of v when it collides with a small car of mass m that is at rest. The truck and car stick together after the collision. a person in ________ will unconsciously avoid an unwanted feeling or situation. what city and state is the noahs ark water park located in? Which group of words lists all gerunds?Hide, jump, fallingExcite, spacing, feelingView, space, warmWarming, freezing, looking a contract is said to be executed when all parties have completed their performances. A company wishes to determine the EOQ for an item that has an annual demand of 2,000 units, a cost per order of $75, and annual carrying cost of $7.50 per unit. What is the total holding cost?a.200b.1500c.750d.500 A database is a collection of integrated and related _____.