a duck flew at 18 miles per hour for 3 hours than at 15 miles per hour for 2 ours how far did the duck fly in all

First, we can rewrite the given equation as:

where Ï is the non real cube root of unity.

We can then multiply both sides of the equation by Ï to get:

This simplifies to:

Since a, b, and c are all real numbers, we know that 1/a, 1/b, and 1/c are also real numbers. Therefore, the sum of these three real numbers must also be a real number. The only way that 1/a + 1/b + 1/c can equal 0 is if all three of these terms are equal to 0.

Thus, we can conclude that a = b = c = 0.

Since a, b, and c are all equal to 0, we know that abc + bcd + acd + abd must also equal 0. Therefore, the answer is 0.

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On solving the provided question we can say - area = 1/2 x b x (2b+2), area = [tex]b^2 + b -20 {[/tex]

A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees. A three-sided form is a triangle. Triangles are known by a variety of names. Triangle kinds are determined by the size of the angles and the length of the sides (angles). Depending on how long their sides are, triangles fall into one of three categories.  Isosceles, equilateral, and uneven

Let 'b' be the base of the triangle, then

then height is - 2b + 2

area = 1/2 bxh

area = 1/2 x b x (2b+2)

area =

[tex]b^2 + b -20 {[/tex]

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Answer:

Yes

Step-by-step explanation:

All you need to do is figure out the missing angles. We know that the three angles in a triangle add up to 180 degrees.

For angle B in ABC, 180-52-39= 89. So angle B = 89 degrees.

For angle D in DEF, 180-39-89= 52. So angle D = 52 degrees.

Then see if the order of the angles match up.

DEF = 52 degrees, 89 degrees, 39 degrees

ABC = 52 degrees, 89 degrees, 39 degrees

The order of the same angles match, so triangle DEF and triangle ABC are equal.

Answer:

Yes, triangle DEF is similar to triangle ABC because their corresponding angles are the same size.

Step-by-step explanation:

Interior angles of a triangle sum to 180°.

⇒ ∠A + ∠B + ∠C = 180°

⇒ 52° + ∠B + 39° = 180°

⇒ ∠B = 89°

⇒ ∠D + ∠E + ∠F = 180°

⇒ ∠D + 89° + 39° = 180°

⇒ ∠D = 52°

Two triangles are similar if their corresponding angles are the same size.

If ΔDEF ~ ΔABC then:

From inspection of the given diagram:

Therefore, the triangles are similar because their corresponding angles are the same size.

The difference between the number of miles travelled on train and car is 110 miles

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

The difference between the distance covered can be calculated as

Distance difference = The difference of the product of speed and time

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

Distance difference = 70 * 3 - 50 * 2

Evaluate the products

Distance difference = 210 - 100

Evaluate the difference

Distance difference = 110 miles

Hence, the distance difference is 110 miles

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Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

5/8 cannot be simplified

Answer:

5/8

Step-by-step explanation:

(7-2)/8

5/8

Answer:

reflection then rotation

Step-by-step explanation:

Answer:The selling price of shoes after a markup of 60% of the price will be equal to $81.60

Step-by-step explanation:

i don't think this is right

Answer:

14/2+4x4-4= 19

Step-by-step explanation:

calculate

7+19-4

which is 19

(BODMAS rule is used here)

14/2 + 4 × 4 - 4

7 + 4 × 4 - 4

7 + 16 - 4

7 + 12

19

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Answer:

h(2) = (-11)

Step-by-step explanation:

h(x) = (-4x - 3), if h(2)

h(2) = (-4(2) - 3)

h(2) = -8 - 3

h(2) = (-11)

Thus, The answer is (-11) if h(2)

Answer:

16.5

Step-by-step explanation:

11/3 =3 and 1/3 so 55/3 and 1/3 = 16.5 or 16 and 1/2

Answer:

Below

Step-by-step explanation:

-40 -(-12/5) =  -200/5   +   12/5   = -188/5 =  - 37  3/5

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

Answer: $380

Step-by-step explanation:

    First, we will find the price per visit using addition.

$125 + $65 = $190

    Next, we notice it says "twice a month" in the question. We will multiply the value above by two to find the price per month.

$190 * 2 = $380

Answer:

twice a month of 125 + 65

2($125 + $65)

= 2($190)

= $380

Step-by-step explanation:

Answer:

100.72

Step-by-step explanation:

[tex]Given,[/tex]

event requires each runner to jump 10 hurdles that are spaced 8.5 meters apart.

If there are 13.72 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line,

Solution:

runner to jump 10 hurdles that are spaced 8.5 meters apart.

Distance between 10 hurdles

=(10-1)* 8.5

=9*8.5

=76.5

If there are 13.72 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line,

Hence length of race = 13.72+76.5+10.5

=100.72

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Answer:

100.72 meters

Step-by-step explanation:

To find the total length of the race, we need to sum:

The distance from the starting line to the first hurdle is 13.72 meters.

The distance between each of the 10 hurdles is 8.5 meters.

There are 9 spaces between hurdles 1 and 10, so the distance between the hurdles is 9 × 8.5 = 76.5 meters.

The distance from the last hurdle to the finish line is 10.5 meters.

To find the total length of the race, add these distances together:

[tex]\begin{aligned}\textsf{Total length of the race} &=\sf 13.72\; meters + 76.5\; meters + 10.5 \;meters\\\\&=\sf 100.72\; meters\end{aligned}[/tex]

Therefore, the race is 100.72 meters long.

To find (f - g)(x), you can subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x)

= (2x2 + 2) - (6x2 + 6)

= -4x2 + (-4)

= -4(x2 - 1)

Therefore, the result of (f - g)(x) is -4(x2 - 1).

Answer:

B, E

Step-by-step explanation:

To determine the longest wavelength photon which can remove an electron from mercury metal, we need to use the equation:

wavelength = hc/work function

Photons are just light particles. Photons are basic subatomic particles that convey the electromagnetic force (and so much more). The photon is the basic unit of electromagnetic radiation, or the "quantum."

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

To determine the longest wavelength photon which can remove an electron from mercury metal, you need to use the equation:

wavelength = hc/work function

where h is the Planck constant (6.626 x 10^-34 Js), c is the speed of light (2.998 x 10^8 m/s), and work function is the minimum energy needed to remove an electron from the metal, in this case 4.475 eV.

Plugging these values into the equation gives:

wavelength = (6.626 x 10^-34 Js)(2.998 x 10^8 m/s)/(4.475 x 1.602 x 10^-19 J/eV)

This simplifies to:

wavelength = 404.4 nm

So, the longest wavelength photon which can remove an electron from mercury metal is 404.4 nm.

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Answer: 1.8 rounded to the nearest tenth will remain as 1.8 because 0.8 is 8 tenths

Answer:

Step-by-step explanation:

11.3

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept: (0,3)

x  y

0 3

1  4

The number of different ways the coach can pick up the line of the game is 792 ways

Step-by-step explanation:

Let n- number of players, r-selection of players.

We can select them using Combination: nCr = 12C5

Combination formula nCr =[tex]\frac{n!r!}{ (n-r)!}[/tex]  = 12C5 = [tex]\frac{12!5!}{(12-5)! }[/tex]

=[tex]\frac{12!5!}{ 7!}[/tex]

= 792ways

The number of different ways the coach can pick up the line of the game is 792 ways.

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Answer:

$ 2649.98

Step-by-step explanation:

1607 days = 1607/365 yrs

3000  =  (deposit) + deposit * i * 1607/365      where i = decimal interest 3000 =  deposit ( 1 + .03 * 1607/365)

   3000/(1 + .03 *  1607/365) = deposit = $ 2649.98  

In an experiment studying the effects of alcohol on social anxiety, alcohol is the dependent variable. So, correct option is option D.

Variables: The goal of all research is to describe and explain global dispersion. Variance is just the difference. That is, the fluctuations that occur naturally in the world, or the changes that occur as a result of manipulation. A variable is the name given to the variance you want to describe. A variable is the result of a force or is itself a force that changes another variable. There are two types of variables.

When researchers administer an active drug to one group of people and placebo or an inactive drug to another group of people, the independent variable is drug treatment. Each person's response to active drug or placebo is called the dependent variable.

In this case, an experiment examining the effects of alcohol on social anxiety. Alcohol is the dependent variable here.

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With the help of algebra mathematical model equation for demand of company's product is given by the equation d = 1800 / p.

What is algebra?

The area of mathematics known as algebra deals with the representation of problems as mathematical expressions. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division.

Let demand for company's product d vary inversely with its price p, which means

d ∝ ( 1/p ) or d = k * ( 1/ p) = k / p  ----- 1

As when p = 4.5, d = 400

Putting these in (1), we get 400 = k/ 4.5

Hence #k=400 x 4.5=1800 and our model equation is

d = 1800/p

Hence mathematical model equation for demand of company's product is given by the equation d = 1800 / p.

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The  slope of the graph represent  d)The number of hours worked to earned dollors

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Answer:

G=15-1.25×t

or,G=1.25(12-t)

Answer:

G= 15-t1.25

Step-by-step explanation:

The boxplot shows that the majority of the people who attended the lecture were age 53 or younger, which means at least 75 percentage of the people were in that range.

The table and boxplot provide information about the ages of the people who attended a lecture last week. The boxplot shows that the majority of the people who attended the lecture were age 53 or younger. This is supported by the table, which shows that the median age is 53 and the interquartile range is between 36 and 53. This indicates that at least 75% of the people who attended the lecture were age 53 years or younger. The range of the distribution is 20 years, with the minimum age being 18 and the maximum age being 38. This suggests that there were at least two people in each age range, from 18 to 38. This also indicates that there were at least 43 people who attended the lecture. The boxplot also shows that at least 25% of the people who attended the lecture were 33 years old. This is supported by the table, which shows the lower quartile is 33.

Interquartile range = Maximum - Minimum

Interquartile range = 53 - 36 = 17

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The equation of the line passes the origin. And the inclination of the line with the x-axis is 3/2. And the graph is given below.

An association between various factors brings about a straight model when a diagram is shown. The variable will have a level of one.

The straight condition is given as,

y = mx + c

Where m is the incline of the line and c is the y-block of the line.

The equation of the line is given below.

y = (3/2)x

The y-intercept is zero. Then the condition of the line passes the beginning. Furthermore, the tendency of the line with the x-pivot is 3/2.

The graph of the line is drawn below.

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The values of x, y and z are 5, 18 and 12 using the congruent triangles properties and triangles sum properties.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

In congruent triangles all the sides are equal, with respect to the other triangle.

Given that ΔUVW≅ΔTSR.

We can see that in TSR triangle the lengths of TR and TS are given as 50 and 53 now the remaining side RS is 5y-33 as we know that both triangles are similar we compare side RS with side VW

i.e..,

5y-33 = 57

5y = 90

y = 18

So we can now compare vertices vertex V is vertex R , vertex W is vertex S and vertex U is vertex T.

So equating the sides of triangles we get,

12x-7 = 53        and 3z+14 = 50

12x = 60                   3z = 36

x= 5                           z = 12

The values of x, y and z are 5, 18 and 12 using the similar triangles properties and triangles sum properties.

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