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Mason is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Mason will earn $30 every time one of his songs is played in
a commercial and he will earn $80 every time one of his songs is played in a movie.
Mason earned a total of $470 in royalties on 9 commercials and movies. Write a
system of equations that could be used to determine the number of commercials and
the number of movies on which Mason's songs were played. Define the variables that
you use to write the system.

Answers

Answer 1

Answer:479

Step-by-step explanation:470+9=479

Answer 2

We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as →  30x + 80y = 470   and    x + y = 9. The variables used in the system of equations are -

x - Number of times his song played in a commercial

y - Number of times his song played in a movie.

What is equation modelling?

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is Mason who collects royalties on his songs whenever they are played in commercials or movies.

Assume that his song played in 'x' commercials and 'y' movies.

Cost per song when played in commercial = $30

Then for 'x' commercials, total cost will be = $30x

Cost per song when played in movie = $80

Then for 'y' movies, total cost will be = $80y

Total money earned through both = $470

We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as -

30x + 80y = 470

The total number of commercials and movies combined -

x + y = 9

The variables used in the system of equations are -

x -   Number of times his song played in a commercial

y - Number of times his song played in a movie.

Therefore, We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as →  30x + 80y = 470   and    x + y = 9. The variables used in the system of equations are -

x - Number of times his song played in a commercial

y - Number of times his song played in a movie.

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Related Questions

Do all these angles equal 360 degrees?

Answers

Answer:

The sum of the interior angles of any quadrilateral is 360 °

Step-by-step explanation:

Do all these angles equal 360 degrees?

The sum of the interior angles of any quadrilateral is 360 °

How many square meters are there in a floor that is 9 meters long by 14 meters wide?

Answers

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter


Add: -8x8+ (-3x8 + 3)

Answers

Answer:

-11x^8 + 3

Step-by-step explanation:

-8x^8 + (-3x^8 + 3)

-8x^8 - 3x^8 + 3

-11x^8 + 3

-8x8+(-3x8+3)=
-64+(-24+3)=
-64+(-21)=
-85

Answer: -85

9 out of 20 students who graduate from J. H. S. of 1,2000 students gained admission to S. H. S. How many students gained admission?

Answers

540 students gained admission

How to determine the number of students?

The given parameters are:

Students = 1200

Proportion that gain admission. p = 9/20

The number of student that gain admission is calculated as:

Admission = p * Students

So, we have:

Admission= 9/20 * 1200

Evaluate

Admission= 540

Hence, 540 students gained admission

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Laila guesses on all 20 questions of a multiple-choice test. each question has 4 answer choices. what is the probability of a success and a failure for this experiment? p (success) = one-fourth; p (failure) = three-fourths p (success) = one-fourth; p (failure) = one-half p (success) = three-fourths; p (failure) = one-fourth p (success) = 1; p (failure) = 0

Answers

The probability of a success and a failure is as follows,

P(success) = one - fourth

P(failure) = three - fourth

Definition of Probability

The area of mathematics that deals with numerical representations of the likelihood that an event will occur or that a statement is true is known as Probability. An event's probability is a number between 0 and 1, where, 0  generally denotes the event's impossibility and 1 denotes certainty of that event.

Calculating the Probability

The formula for finding the probability of an event to occur is given by,

P = (favorable outcomes)÷(total number of outcomes)

Now, it is given that each multiple choice question consists of 4 choices.

And, out of these four choices, only one answer is true.

Then, if Laila guesses the answer, the probability of choosing the right answer is given by,

P(success) =1/4

Thus, the probability of choosing the wrong answer will be,

p(failure) = 1 - P(success)

⇒ P(failure) = 1 - (1/4)

⇒ P(failure) = 3/4

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May someone please help me out please?

Answers

Step-by-step explanation:

First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:

[tex] \cos(x) = \frac{12}{26} [/tex]

Let's solve this, to find X:

[tex]x = { \cos }^{ - 1}( \frac{12}{26} )[/tex]

Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:

[tex] \cos(x) = \frac{48}{y} [/tex]

To find y, let's rearrange:

[tex]y = \frac{48}{ \cos(x) } [/tex]

And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):

[tex]y = 0.767833242[/tex]

This season, Dominic has hit 13 home runs and Mitchell has hit 7 home runs. How many more home runs has Dominic hit than Mitchell?

Answers

Answer:

6

Step-by-step explanation:

To answer this simply subtract 7 from 13 to find the answer.

13-7=6

Hope this helps!

If not, I am sorry.

Answer: 6

Step-by-step explanation: i just did the work

Question 13 of 25
Find f(-2) for f(x) = 2(4)^x

Answers

Answer:

the answer is A

Step-by-step explanation:

put it in the calculator

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

When you have a negative exponent like [tex](\frac{a}{b})^{-x}[/tex] you simply take the reciprocal and then the denominator takes the exponent. So it becomes [tex]\frac{b}{a^{x}}[/tex].

So now you simply plug -2 as x. This gives you [tex]2(4)^{-2}[/tex]. and 4 is essentially [tex]\frac{4}{1}[/tex]. So it becomes [tex]\frac{1}{4^2}[/tex] which is [tex]\frac{1}{16}[/tex]. So multiplying it by 2 you get [tex]\frac{2}{16}[/tex]. Which can be written as [tex]\frac{2}{8 * 2}[/tex] so the 2's cancel out and the fraction becomes [tex]\frac{1}{8}[/tex]

What is the area of this polygon?

Answers

Answer:

51 units²

Step-by-step explanation:

First, split the polygon into two pieces so that the left side is a triangle, and the right side is a rectangle.

Then, find the area of the rectangle. Count how many units the width and the height is. The height is 7 units, and the width is 6 units. Multiply the two measurements to get the area of the rectangle.

7×6=42.

The area of the rectangle is 42.

Now, find the area of the triangle. Count how many units the width and the height is. The height is 6, the width is 3. Use the area of a triangle formula. The formula is:

1/2×b×h

1/2×3×6=3×3=9

The area of the triangle is 9.

Add the areas together to find the area of the total polygon.

42+9=51.

The area of the polygon is 51 units².

Hope this helps!

If not, I am sorry.

what would not be a step in solving 18=2(4+x)

Answers

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

(a) Work out
8 × 1/1/1
x
3
Give your answer as a mixed numbers

Answers

Answer:

well.. 1/1/1 would be 1.

8 x 3 = 24

24x 1 = 24

sooo the answer would be 24...

Step-by-step explanation:

The product of the given expression 8 × 1/1/1 x 3 would be equal to 24.

What are proper and improper fractions and how to convert mixed fraction to simple fraction?

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

We know that 1/1/1 would be 1.

So,

8 x 3 = 24

24x 1 = 24

Thus, the answer would be 24.

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A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either sunflowers. Each card also has a message "happy birthday!", Happy Holidays". Or "happy anniversary!". What is the greatest possible amount of different cards that this store sells?

Answers

The greatest number of different cards based on the permutations is 144.

How to compute the value?

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

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Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Things we already know:

Angle B = 56 degrees

Angle C = 90 degrees

Side CB = 7 units

We need to find angle A and sides AC and AB.

We know that every triangle has its angles equal to 180 degrees

angle A + B + C = 180 degrees

angle A + 56 + 90 = 180 degrees

angle A + 146 = 180 degrees

subtract 146 from both sides.

angle A = 34 degrees

Now we know angle A.

To find side AC, we can use the tangent of theta.

The hyp (hypothenuse) = AB

The adjacent side = CB

And the opposite side = AC

The tangent of theta is the opposite side divided by the adjacent side.

[tex]tan(56) = \frac{AC}{7}[/tex]

Now we just need to solve for AC.

multiply 7 on both sides, to cancel it out on the right side.

7tan(56) = AC

10.3 = AC

Now we know the side AC.

AC = 10.3 units

To find the hypothenuse, we can use the sine, cosine, or the Pythagorean theorem.

I will choose the Pythagorean theorem, though.

[tex]7^{2} +10.3^{2} =AB[/tex]^2

49 +106.09 = AB^2

AB = 155.09 units^2

AB = 12.4 units

And now we know everything about this triangle.

A = 34 degrees

C = 90 degrees

B = 56 degrees

AC = 10.3 units

CB = 7 units

AB = 12.4 units

Hope I Helped!

help please!!! need it asap
no wrong answers

Answers

Displacement at t = 0 :

x = 4 cos(π (0) + π/4)x = 4 cos(π/4)x = 4 × 1/√2x = 2√2 meters

Displacement at t = 1 :

x = 4 cos (π (1) + π/4)x = 4 cos (π + π/4)x = -4 cos(π/4) [∴ cos is negative in the interval (π, 3π/2)x = -4 × 1/√2x = -2√2 meters

Displacement between t = 0 and t = 1 :

-2√2 - 2√2[tex]\boxed {-4\sqrt{2}}[/tex]

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

[tex]-4\sqrt{2} m[/tex]

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

[tex]x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m[/tex]

t = 1,

[tex]x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }[/tex]

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= [tex]-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m[/tex]

Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
334. (9c − 2d)(9c + 2d)

Answers

Answer:

The product is the difference of squares is [tex]$$(9c-2d)(9c+2d)=81{{c}^2}-4{{d}^2}$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (9c-2d)(9c+2d).We have to multiply the given expression.Square the first term 9c. Square the last term 2d.

[tex]$$\begin{aligned}&(9 c-2 d)(9 c+2 d)=(9 c)^{2}-(2 d)^{2} \\&(9 c-2 d)(9 c+2 d)=81 c^{2}-4 d^{2}\end{aligned}$$[/tex]

HELP PLEASE. 3(2x+3)=15​

Answers

If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

Write an absolute value equation to satisfy the given solution set shown on a number line.

Answers

The absolute value equation with the wanted solutions is:

|x| - 1/2 = 0

How to find the absolute value equation?

Here we want to find an absolute value equation such that the solutions are:

x = -1/2 and x = 1/2.

Remember that the absolute value equation always changes the sign, such that the outcome is positive.

This means that:

|1/2| = 1/2

|-1/2| = 1/2

Then a trivial equation with these two solutions is:

|x| - 1/2 = 0

Where the two solutions are x = 1/2 and x = -1/2.

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How many 3 digit numbers have the following property: Non-negative difference of any two neighboring digits is more than 8?
Answers can be 8, 6, 7, 9, 10

Answers

Answer:

7 maybe? (I'm assuming any two neighboring digits is greater than or equal to 8)

Step-by-step explanation:

Ok so it's important to establish which combinations of numbers have a difference of 8+. The most obvious one is (0, 8), and (1, 9), but there's also (0, 9). In my explanation I'll express a three digit number as: [tex]100a+10b+c[/tex] where a, b, and c will form the three digit number. It's important to understand that: [tex]a\ne0[/tex], because if it was 0, then it would be a two digit number, because there would be no hundreds place. So let's start with the (0, 8) combination. a=8 and b=0, and c can have 2 different values. So we get the two numbers: [tex]809, 808[/tex]. Now let's using the (1, 9) which can be rearranged where (a=1, b=9) OR (a=9, b=1) since this combination doesn't have a 0 as one of the values. So let's start with a=1, b=9, this leaves 2 values for c. This gives you the numbers: [tex]190, 191[/tex]. Now let's use the a=9, b=1 combination. This only leaves 1 values for c since 8-1 = 7, meaning c can only equal 9. This gives you the following number: [tex]919[/tex]. Now for the last combination: (0, 9). In this combination a has to be 9, and b has to be 0. This gives you 2 values for c. This gives you the following two numbers: [tex]909, 908[/tex]. Combining all these numbers we get the following numbers: [tex]909, 908, 919, 809, 808, 190, 191[/tex]

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5

Answers

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

Answer:

Step-by-step explanation:

y = 2/5x + p

We now that passes through (–2, 4)

 2/5 × (-2) + p = 4

⇔ -4/5 + p = 4

⇔ p = 4 + 4/5

⇔ p = 20/5 + 4/5

p = 24/5

⇒ y = 2/5x + 24/5

Find the value of X:

Answers

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

Can someone help me? It’s 7th grade geometry

Answers

The area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

Calculating the area of a sector

From the question, we are to determine the area of the shaded quarter of the circle

The shaded quarter of the circle is a sector.

The area of a circle is given by the formula,

[tex]A = \frac{\theta}{360^\circ}\times \pi r^{2}[/tex]

Where A is the area

θ is the angle subtended

and r is the radius

First, we will calculate the radius of the circle

The radius of the circle equals the length of a side of the square.

From the given information,

Area of the square = 4 cm²

∴ s² = 4 cm²

s =√4 cm²

s = 2 cm

∴ A side of the square is 2 cm in length

Thus,

r = 2 cm

and

θ = 90°

Then,

[tex]A = \frac{90^\circ}{360^\circ}\times \pi \times 2^{2}[/tex]

[tex]A = \frac{1}{4}\times \pi \times4[/tex]

[tex]A = \pi \ cm^{2}[/tex] OR 3.14 cm²

Hence, the area, in square centimeters, of the shaded quarter of the circle is π cm² OR 3.14 cm²

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george drives the first 30 miles of a trip at a constant rate of 40 miles per hour. if he drives the remaining 75 milse of the trip at a constrant rate of 50 miles per hour, what is his average speed for the entire trip

Answers

His average speed for the entire trip is 46.6 mph

We have,

30 miles at 40 mph

time taken at this speed = 30/40 = 3/4 hours

..

75 miles at 50mph

time taken = 75/50 = 3/2 hours

Total time taken = 3/4 +3/2 hours=3+6 /4

=9/4 hours

Total distance traveled = 30+75 = 105 miles

Average speed = 105/ 9/4

=105*4/9

46.6 mph is the average speed.

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24. Find the slope and y-intercept of the line.
Y=7/5x-3

Answers

Answer:

slope = m = 7/5

y-intercept = b = -3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 7/5 x - 3

slope = m = 7/5

y-intercept = b = -3

Answer:

7/5 => Slope,-3 => y-intercept,

Step-by-step explanation:

If a line's equation has the form y=mx+b, then finding the slope can be done within 2 seconds.

m is the Slope,

and the slope is always multiplied by the x co-ordinate.

b is the y-intercept,

and it's added to the product of the slope and the x co-ordinate.

Both the slope and the y-intercept can be any real number.

∵, slope = [tex]\boxed{\rm{Slope=7/5}}[/tex]

∵, y-intercept = [tex]\boxed{\rm{Y-intercept=-3}}[/tex]

done !!

[tex]\orange\hspace{300pt}\above2[/tex]

Evaluate each polynomial when a=3, b=5 , c=10.
1. 10a - 15
2. -5b^3 +7b+10
3. 6abc+ 4a^2

Answers

Answer:

15; -580; 936

Step-by-step explanation:

1. 10a-15=10*3-15=15

2. -5b^3+7b+10=-5*5^3+7*5+10=-580

3. 6abc+4a^2=6*3*5*10+4*3^2=936

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x² + 3x-5=0
A. x = 1
B. x=-1
C.
D. x==2
E.
F.
x==2
X
=
+√8
x = 3-1
SUBMIT

Answers

Step-by-step explanation:

[tex]therefore \: x = 1[/tex]

The roots of the quadratic equation 2x² + 3x - 5 = 0 are  [tex]\frac{-5}{2}[/tex] and 1.

A quadratic equation is an equation of the form ax² + bx + c = 0. It is a polynomial with degree 2. In this equation, a is the coefficient of x², b is the coefficient of x, and c is the constant term.

The given quadratic equation is 2x² + 3x - 5 = 0.

Use the quadratic formula, also known as the Shreedharachrya formula to find the roots of the given equation:

[tex]x = \dfrac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}[/tex]

  [tex]= \dfrac{-3\ \pm\ \sqrt{3^2-4\times2\times(-5)}}{2\times 2}\\= \dfrac{-3\ \pm\ \sqrt{9+40}}{4}\\\\= \dfrac{-3\ \pm\ \sqrt{49}}{4}\\= \dfrac{-3\ \pm\ 7}{4}[/tex]

[tex]x = \dfrac{-3-7}{4}[/tex] or [tex]x = \dfrac{-3+7}{4}[/tex]

[tex]x = \dfrac{-10}{4}[/tex] or [tex]x = \dfrac{4}{4}[/tex]

[tex]x = \dfrac{-5}{2}[/tex] or [tex]x = 1[/tex].

Hence, the roots of the given quadratic equation are [tex]\frac{-5}{2}[/tex] and 1.

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I NEED THIS FAST! :(

What was the original price of the sneakers?

Answers

Answer:

n=45

Step-by-step explanation:

[tex]n=\dfrac{54.100}{120} \\\\n=45[/tex]

Find the equation of the line parallel to y = 2x - 4 that runs through the point (-2, 4).

Answers

Answer:

y = 2x + 8

Step-by-step explanation:

Equation of line:

  Parallel lines have same slope.

 y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

         y - y₁ = m(x - x₁)

        y - 4  = 2(x - [-2] )

       y - 4   = 2(x + 2)

       y -4   = 2x + 4

             y = 2x + 4 + 4

        [tex]\sf \boxed{y = 2x + 8}[/tex]

Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE

Answers

Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

Does this graph represent a function? Why
or why not?
A. No, because it is not a straight line.
• B. No, because it fails the vertical line test.
C. Yes, because it passes the vertical line test.
D. Yes, because it passes the horizontal line test.

Answers

C. Yes because it passes the vertical line test

Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0

Answers

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

What are the zeros of a function f(x)?

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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Who is the Father of Algebra ? compare and contrast sexual and asexual reporduction a square pyramid has side length 9 in. and volume = 270 in^3. find the height. que se bonjour pouvez vous maider il faut Passe le plan, l'introduction et la conclusion de ce sujet de reflexion attendez vou des beuvres littraires et artitiges. what language is that? The table describes how some substances were formed.SubstanceDescriptionPFormed by boiling pure waterQFormed by combining three hydrogen atoms to every nitrogen atomRFormed by adding 5 g of sugar to 1 L of waterSFormed by compressing carbon under high pressureBased on the given descriptions, which substance is most likely a mixture?PQRS Note: When solving for k, round to four decimal places. A country's population in 1994 was 107 million. In 1997 it was 112 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million. ______ is the actual amount each common stockholder would expect to receive if the firm's assets are sold, creditors and preferred stockholders are repaid, and any remaining money is divided among the common stockholders. what is the end result of miosis It is not illegal for a licensed professional to employ an unlicensed agent to perform professional acts. Group of answer choices False True As students prepare for a test, they often believe that they understand the course material better than they actually do. This best illustrates Which expression can be used to determine the volume of water in a rain barrel after days if there were 179.2 gallons of water in the barrel and 10.6 gallons are used each day? how many catogary does disaster can be classified? Pavlov taught a dog to salivate at the sound of a bell by repeatedly pairing ringing the bell and food. In this example, the bell is the _____ before conditioning and the _____ after conditioning. Write a 250-350-word response based on the following questions. What are your 5 "signature strengths"? How do you see each of your "signature strengths" in your current habits and behaviors? Be specific and really explore this question in depth. [Note: If you cannot see them in your current habits and behaviors, then explain how you could begin to practice them.]Think about what you learned this week about "signature strengths," and revise your one-sentence definition of well-being/happiness from last week. [Note: As we take in new information, we add it to our existing ideas and opinions. Thus, our definition of happiness/well-being should change. Please do not write "it's the same," as this reflects a lack of serious engagement with the question and readings on "character strengths" and "signature strengths."]My signature strengths are honesty judgment, bravery, leadership and kindness _____ is basically the process of determining how many members or representatives each individual state will have assigned to it within the different chambers of congress. 3 reasons why a introductory rate or balance transfer APR of 0% might not be a good offer after all S and Tare mutuallyexclusive events. Find P(sort)P(S) = 12% P(T) =27% In ABC, we are told that c=11, C=75, and B=29. Solve for a and b. what is academic achievement Which of the following results in the difference of two squares?