Two people can paint a house in 14 hours. Working individually one of the people takes 2 hours more than it takes the other person to paint the house. How long would it take each person working individually to paint the house?

( You are supposed to get a quadratic equation and then solve that, but I don't know how to get to it.)

Answers

Answer 1

Using the together rate, it is found that it would take each person working individually 27 and 29 hours to paint the house.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, we have that the rates are given as follows:

The together rate is 1/14.The separate rates are 1/d and 1/(d-2).

Hence:

[tex]\frac{1}{d} + \frac{1}{d - 2} = \frac{1}{14}[/tex]

[tex]\frac{d - 2 + d}{d(d - 2)} = \frac{1}{14}[/tex]

d² - 2d = 28d - 28.

d² - 30d + 28 = 0

(d - 29)(d - 0.96) = 0.

Both d and d - 2 have to be positive, hence the solution is d = 29, and it would take each person working individually 27 and 29 hours to paint the house.

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Related Questions

A cubical tank full of water is emptied in a cylindrical tank. If the edge of cubical tank is 77cm, find the height to which the water rises in the cylinder whose bbase diameter 1.4m.

Answers

Answer:

Step-by-step explanation:

H=456,533/pier^2

H=456533×7/22×7×7*. Here 7 as radius

H=29.645cm

The equation and the tables represent two different functions. Use the equation b = 6a - 10 and the table to answer the questions. This table represents c as a function of a.

Answers

Answer:

  [tex]A. \;\;b \;is \;greater[/tex]

  [tex]B.\;\;a = 1, b = -4[/tex]

  [tex]C.\;\;a = 6, c = 20[/tex]

Step-by-step explanation:

Part A

We have the relationship

[tex]b = 6a - 10[/tex]

When [tex]a[/tex] is [tex]-2[/tex], the value of [tex]b[/tex] is

[tex]b = 6(-2) -10 = -12 -10 = -22[/tex]

The corresponding value of [tex]c[/tex] for [tex]a = - 2[/tex] is -[tex]21[/tex]

[tex]-21[/tex] is greater than [tex]-22[/tex] so answer is :  [tex]b[/tex]  is greater

Part B

When [tex]c[/tex] is [tex]6[/tex], we see that the value of [tex]a[/tex] from the table is [tex]1[/tex]

The corresponding value of b is:

[tex]b = 6(1) - 10 = 6 - 10 = -4[/tex]

Part C

When [tex]b = 26[/tex], plugging this into the equation[tex]b = 6a - 10[/tex] we get

[tex]26 = 6a - 10\\\\26 + 10 = 6a\\\\36 = 6a\\\\[/tex]

or

[tex]6a = 36[/tex] giving [tex]a = 36/6 = 6[/tex]

For [tex]a = 6[/tex], from the table we see that the corresponding value of [tex]c = 20[/tex](ANS)

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

Answer:

The following equations are equivalent:

2 + x = 5

x + (negative 4) = 7

Negative 5 + x = negative 2

All of these three equations are equivalent because they all represent the same mathematical relationship between x and other numbers. The variable x is the same in each equation. We can see this by applying the same operation on both sides of the equations, and the variable x will cancel out and the two sides will be equal.

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amount of gold in each necklace is 18 grams. The jeweler made a total of 7 bracelets and necklaces using 82 grams of gold. Determine the number of bracelets made and the number of necklaces made.

Answers

The number of bracelets made is 4 and number of necklaces made is 3.

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the number of bracelets made and y be the number of bracelets made.

There are total of 7 bracelets and necklaces.

x + y = 7

Amount of gold in each bracelet = 7 grams

Amount of gold in x bracelets = 7x grams

Amount of gold in each necklace = 18 grams

Amount of gold in y necklaces = 18y grams

Total gold used is 82 grams.

7x + 18y = 82

We have two linear equations :

x + y = 7 ⇒ x = 7 - y

7x + 18y = 82

Substituting x = 7 - y in second equation,

7 (7 - y) + 18y = 82

49 - 7y + 18y = 82

11y = 82 - 49

11y = 33

y = 33/11

y = 3

x = 7 - y = 7 - 3 = 4

Hence the number of bracelets and necklaces are 4 and 3 respectively.

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True or False? If false, state the correct solution.

Answers

Answer:

TRUE

Step-by-step explanation:

(2x^2-5x-3)/(x-3) = (2x+1)

(2x^2)/(x-3) - (5x)/(x-3) - 3/(x-3) = (2x+1)

 [separated each term on the left side]

(2x^2)- (5x) - 3 = (2x+1)(x-3)

2x^2- 5x - 3 = (2x+1)(x-3)

(2x+1)*(x-3) = (2x+1)(x-3)

Both sides are the same.  The equation is TRUE.

Let f(x) = |x| + 2

The graph of f(x) is transformed into the graph of g(x) by a translation of 3 units right and 1 unit up.

What is the equation for g(x)?

45 points!!!

Answers

The required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given equation of function f(x) = |x| + 2

The above function is an aboslute function, so in order to translate the function right, the function after transformation will be as |x - 3|  + 2, we subtract 3 from x to translate in the horizontal x-axis.
Now,
Add + 1 to the function to translate it 1 unit up,
The function becomes,
g(x) = |x - 3| + 3

Thus, the required function after the trasformation of 3 units right and 1 unit up is given as g(x) = |x - 3| + 3.

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Rewrite 5 square root 3^4 as an expression with a rational exponent. Then mark this number on the graph of f (x) = 3^x. Explain how you know where to place it.

Answers

Step-by-step explanation:

the nth root of something can be expressed as 1/n as exponent.

e.g. sqrt(2) = 2^(1/2).

so, the 5th root of 3⁴ = 3^(4/5)

for f(x) = 3^x

that means that x = 4/5 = 0.8.

so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.

that is the desired point.

How do you write 10x10x10x10 in exponential form?

Answers

Answer:

10^4

Step-by-step explanation:

10= 10^1
10x10 = 10^2 (2 10s)
10x10x10=10^3 (3 10s)
10x10x10x10=10^4 (4 10s)
basically the number of 10s you are multiplying will be the number of exponents you will use in this case.

Suppose one friend decided to pay for a bag of pretzels
and a drink for all 4 of them.
If x equals the cost of the pretzels and y equals the cost of
the drink, what expression represents the total cost?
A 4+x+y
B 4(x+y)
c 4x+y
D x+4y

Answers

Answer:

C

Step-by-step explanation:

4x is really just 4 times the cost of the drinks +the cost of the pretzel bag so ita 4x+y

C is the answer……

Explanation: answer c represents the total coast

How many square meters are in 280 square centimeters





Answers

We can perform a change of units to see that 280 square centimeters is equivalent to 0.028 square meters.

How many square meters are in 280 square centimeters?

We want to perform a change of units between square centimeters and meters.

Remember the relation:

100cm = 1m

Now we can square both sides of that equation, then we will get:

(100 cm)^2  = (1m)^2

10,000 cm^2 = 1m^2

Then if we have a measure in square centimeters, to transform it into square meters we need to divide that measure by 10,000.

Then:

280 cm^2 = (280/10,000) m^2 = 0.028 m^2

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Find the sales tax selling price 20$ rate of sales tax 3%

Answers

if there was a 3 percent sales tax on 20$ the i believe the price would me 26$ because 0.3x20=6

why is there a limit

Answers

Term limits have been approved almost everywhere they’ve been on the ballot.

Are term limits helpful?

However, the evidence suggests that at the margin, term limits are helpful to the cause of individual liberty. Elhauge’s report showed that term limits lessen the influence of seniority. His research demonstrated that long-term lawmakers from both major parties vote for more bureaucracy than do lawmakers who have been in office for shorter times.

Therefore, term limits have been approved almost everywhere they’ve been on the ballot

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Which graph shows a system of equations with the solution (5, -3)?

Answers

Right-hand bottom graph shows a system of equations with the solution (5, -3).

What is Graph?

A diagram that depicts the connection between two values, measures, or other objects as a line or curve.

According to the inquiry,

Due to the fact that the two lines meet at the position where they do, the graph on the bottom right depicts a system of equations with the answers (5, -3) (5, -3).

Therefore, the proper answers to the problem are represented by the bottom right.

Right-hand bottom graph has the proper equations and their answers (5,-3).

Right-hand bottom graph shows a system of equations with the solution (5, -3).

The complete question is

Which graph shows a system of equations with the solution (5, -3)?

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Solving systems of equations by substitution worksheet
1. y = 6x-11
-2x-3y = -7
2. 2x-3y = -1
y = x-1

Answers

Solving systems of equations by elimination

1. steps to find the value of x

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate y:

-6x+y= -11 | times -3| becomes 18x-3y=33

18x-3y=33

-2x-3y = -7

y in the equation can be eliminated to become:

20x=40

x=40/20

x=2

steps to find the value of y:

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate x:

-2x-3y = -7 | multiplied by 3| becomes -6x-9y=-21

-6x+y= -11

-6x-9y=-21

x in the equation can be eliminated to become:

10y=10

y=-10/10

y=1

2.

1. steps to find the value of x

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate y:

-x+y=-1| times -3| to 3x-3y=3

-2x-3y = -1

3x-3y=3

y in the equation can be eliminated to become:

-5x=-4

x=4/5

Steps to find the value of y:

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate x:

-x+y=-1| multiplied by 2| becomes -2x+2y=-2

-2x-3y = -1

-2x+2y=-2

x in the equation can be eliminated to become:

-5y=1

y=-1/5

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What is section formula and midpoint formula?

Answers

The section formula helps to find out the coordinates of points that divide the line in the m:n ratio whereas the midpoint formula helps us to find the midpoint of a line.

The section formula is used in geometry to find out centroid, incenters, etc. It is of two types: Internal division and external division. These types depend on the position of point P.For a point P(x,y) dividing line a(a,b) and B(c,d) in ratio m:n, The

Internal division section formulae is-  P(x)=(c.m +a.n)/m+n ,                P(y)=(d.m+b.n)/m+nExternal division section formulae is-  P(x)=(c.m - a.n)/m-n ,                P(y)=(d.m-b.n)/m-n

The midpoint formula is used to find the center of a line or a figure. It is a mathematical equation used in geometry and economics. On a line from point (x1,y1) to (x2,y2) the midpoint P= (x1+y1)/2 , (x2+y2)/2. It divides the line in 1:1 ratio.

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What is the difference between factor theorem and remainder theorem Class 9?

Answers

The remainder theorem states that the value of f(a) is equal to the remainder for any polynomial f(x) when divided by the binomial xa. The factor theorem states that (xa) is a factor of f(x) and vice versa if an is a zero of a polynomial f(x).

A special example of the polynomial remainder theorem is the Factor theorem. So, according to the factor theorem, a polynomial has a factor if and only if: If and only if f (M) = 0, the polynomial x-M is a factor of the polynomial f(x). According to the Remainder Theorem, the remainder will be if a polynomial (x) is divided by a linear binomial of the kind (x - a) (a).

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2x+3y=3,2y+3z=4,2x+2z=8

Answers

Answer:

x=6/5

y=1/5

z=14/5

i think i  not 100% sure

Which equation represents a line perpendicular to the line with equation 2x + 3y = 12?.

Answers

The equation of the line perpendicular to 2x + 3y = 12 will be y = 3x/2 + c where c ∈ R.

The equation of the line given here is 2x + 3y = 12

Now rearranging it to the slope-intercept form we get

3y = -2x + 12

or, y = -2x/3 + 4

Now any 2 lines are perpendicular when the product of their slopes results in -1.

Hence, let the equation of the line perpendicular to the given line be

y = mx + c, where m is the slope of the line and c is the intercept.

Hence,

-2m/3 = -1

or, m = 3/2

Hence the equation of the line will be

y = 3x/2 + c where c ∈ R

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How do you write 8x8x8x8 in exponential form?

Answers

The exponential form of given expression "[tex]8 \times 8 \times 8 \times 8[/tex]" is [tex]8^{4}[/tex] , and the value of this exponential expression is 4096 .

The exponential expression is given as : [tex]8 \times 8 \times 8 \times 8[/tex] ;

we have to represent the given expression in exponential Form ,

The Law Of Exponents states that , when multiplying the numbers having same base and different exponents , then the base is kept same and the exponents are added ,

So , According to  Law Of Exponents ,

the given expression can be written in exponential form as :

⇒ [tex]8 \times 8 \times 8 \times 8[/tex] ;

⇒[tex]8^{1+1+1+1}[/tex]

⇒ [tex]8^{4}[/tex] .

So , the exponential form is [tex]8^{4}[/tex] .

and the value of this expression is = 4096 .

Therefore , the exponential form of [tex]8 \times 8 \times 8 \times 8[/tex] is 8⁴ .

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In your own words define energy transformation

Answers

change of energy from one form to another

The boatbill is present in a density of at least one pair per 20 acres at the same time that two different types of plants are dominant. What are these plants?.

Answers

The two types that the boatbill will dominate are grasses and shrubs according to the attached table.

What is density?

The density of an item is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter). “Density = mass divided by volume.” Density is a compound metric that tells us about an object's mass in proportion to its volume. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Density Symbol: D or ρ Density Formula: = m/V, where is the density, m is the object's mass, and V is its volume.

Here,

According to the accompanying data, the boatbill will predominate among grasses and bushes.

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Which statements are true about the volume of the triangular pyramid shown? Select two choices. (Recall the formula V = one-third B h.)

A triangular pyramid. The base has a base of 8 feet and height of 2 feet. The pyramid has a height of 6 feet.

[Not drawn to scale]

The value of h in the formula V = one-third B h is 2 ft.
The area of the base, B, is 8 feet squared.
The sum of the areas of the faces can find the volume.
The volume is 16 feet squared.
The expression One-third (8) (2) (6) can be used to find the volume of the pyramid.

Answers

The correct statements are,

The area of the base, B, is 8 feet squared.

The expression one-third (8) (2) (6) can be used to find the volume of the pyramid.

What is a triangular pyramid?

A tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The tetrahedron is the simplest and only regular convex polyhedron with less than five faces.

Given that a triangular pyramid. The base has a base of 8 feet and a height of 2 feet. The pyramid has a height of 6 feet. The volume of the triangle is calculated as,

The area of the base,

A = 1/2 x b x h

A = 1/2 x 8 x 2

A = 8 feet

The volume will be calculated by the formula,

Volume = 1 / 3 x Base are x h

Volume = 1 / 3 x 8 x 2 x 6

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How do you find the midpoint between any two points using only their coordinates?

Answers

To find the midpoint between any two points in a plane using only their coordinates, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if we have two points (-2,8) and (4,10)

(x,y) = ((-2 + 4) / 2, (8 + 10) / 2)

(x,y) = (1,9)

The midpoint of the given points (-2,8) and (4,10) is (1,9).

It's worth noting that this formula can be adapted for three-dimensional points, where the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Look at the image down below

Answers

Using the concept of ratios, the constant of proportion between middle school and high school is 3/4

What is Proportionality

Proportionality is a fundamental concept in mathematics and physics. It is a relationship between two or more variables where a change in one causes a proportional change in the other. In other words, the ratio between the two remains constant. Proportionality is an important concept in mathematics because it is used to make predictions and solve problems. The constant of proportionality is the ratio between the two variables that remain constant in a proportional relationship.

To determine the constant of proportionality in this relationship, we can write an equation in the form

y = kx

k = constant of proportion

Or we can easily use ratio to find the constant of proportion

Number of girls in middle school = 6

Number of girls in high school = 8

The ratio = 6/8 = 3 / 4 = Option B

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e.
d.
C.
b.
a.
12
Original
Fractions
47 35 59 23 14207956 5238
Common
Denominator
35
Equivalent Fractions
> or <
+11
4
7
9
5
12
3.5

5
6
3.8
ble to help you rewrite the problems with common denominators. Then solve.

Answers

The fractions with the common denominators are given as follows:

4/7 = 36/63.5/9 = 35/63.

The inequality relating the fractions is given as follows:

4/7 > 5/9.

What is a fraction?

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.

The fractions for this problem are given as follows:

4/7.5/9.

The denominators are given as follows:

7 and 9.

The least common multiple of 7 and 9 is given as follows:

7 x 9 = 63.

Hence the equivalent fractions are given as follows:

4/7 = 36/63. (63/7 = 9, hence both the numerator and denominator are multiplied by 9).5/9 = 35/63 (63/9 = 7, hence both the numerator and denominator are multiplied by 7).

The equivalent fractions have the same denominator, while the equivalent fraction to 4/7 has the greater numerator, hence the inequality is given as follows:

4/7 > 5/9.

Missing Information

The problem is given by the image presented at the end of the answer.

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10 packages of bacon cost $20.50 at the grocery store. How much will 1 pack of bacon cost?

A.$2.05
B.$2.25
C.$2.00
D.$2.10

Answers

Answer: $2.05

[tex]$20.50/10=2.05[/tex]


What is the measure of 23 if clld?

Answers

Answer:

i tink im doing this complete wrong but 1.380649×10−23 J

Step-by-step explanation:

Unit 11: Volume & Surface Area
Homework 2: Area of Sectors


Need help with 9 an 10

Answers

The area of sector in question 9 is 141.87 ft² and the area of sector in question 10 is 107.70 m².

What is the area of sector in circle?

A circle is a collection of points that are all equally distance from the circle's centre. The radius is the usual distance a circle travels from its centre to its point. The circle's centre (o) and radius (r) serve as its definition (r).

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

Given in question 9, r = HK = 25 ft

angle of sector = 26°

so the area of sector A₉ = (26°/360°)π*r²

⇒ A₉ = (26°/360°)* 22/7 * (25)²

⇒ A₉ = (26°/360°)* (22 * 625)/7

⇒ A₉ = 357,500/2520

⇒ A₉ = 141.87 ft²

Given in question 10, SR = 26 m

⇒ r = ST = SR/2

⇒ r = 26/2 = 13 m

angle of sector = 73°

so the area of sector A₁₀ = (73°/360°)π*r²

⇒ A₁₀ = (73°/360°)* 22/7 * (13)²

⇒ A₁₀ = (73°/360°)* (22 * 169)/7

⇒ A₁₀ = 271,414/2520

⇒ A₁₀ = 107.70 m²

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11
1 point
Which is the slope of the proportional relationship?
3/4
2
1/2
4/3
X3456
Y
3 6
69
8
5 10
6 12

Answers

Answer:

The number line that represents the inequality 6x - 12 > -6 is (D)

How to determine the number line?

The inequality is given as:

6x - 12 > -6

Add 12 to both sides

6x > 12 - 6

Evaluate the difference

6x > 6

Divide both sides by 6

x > 1

The number line that represents the above inequality is (D)

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Solving a Mixed-Degree
Consider the following system of equations:
10 + y = 5x + x2
5x + y = 1
The first equation is an equation of a
The second equation is an equation of a
What are the solutions of the system?

Answers

Answer:

The solutions are:

(1,-4), and (-11,56)

Step-by-step explanation:

10 + y = 5x + x^2

5x + y = 1

Rearrange both equations to isolate y:

y = x^2 + 5x - 10

y = -5x+1

Since y=y, we set set the right sides of both equations equal to each other:

-5x+1 = x^2 + 5x - 10

Rearrange

-x^2 - 10x + 11 = 0

x^2 +10x - 11 = 0

Factor

(x+11)(x-1) = 0

x = -11 and 1

Use these two values of x to find y.  We'll use the simpler equation of

y = -5x+1.

 x     _y

 1      -4      (1,-4)

-11      56    (-11,56)

See the attached graph for proof.

Other Questions
The API 20E test strip has been designed to identify enteric bacteria in a clinical setting. With this is mind, design your own test strip to differentiate among the species of staphylococcus, streptococcus, and micrococcus found in exercise 39. Use the flowcharts in the exercise to help design your test strip. identify the predominant type of intermolecular force in each of the following compounds. drag each item to the appropriate bin. Specter Company combines cash and cash equivalents on the balance sheet. Using the following information, determine the amount reported on the year-end balance sheet for cash and cash equivalents. $18,000 cash deposit in checking account. $50,000 bond investment due in 20 years. $12,500 U. S. Treasury bill due in 1 month. $950, 3-year loan to an employee. $4,000 of currency and coins. $1,250 of accounts receivable How do you say "to fire someone" in Spanish?lamentarapostardespedir Caf esdrjula o llana If x^2+y^2=64 and dx/dt=7, find dy/dt when y is positive and(a) x=0:dy/dt=(b) x=1:dy/dt=(c) x=4x=4:dy/dt= the magnetic flux through a coil of wire containing two loops changes at a constant rate from -58 wbwb to 85 wbwb in 0.88 ss . Clover Company received a Note Receivable from a customer for a sale. The 9 percent, 9-month note was received on May 31, 2019 for an amount of $300,000. Determine the company's accrued interest receivable (from this note) on its December 31, 2019 balance sheet.A)$13,500B)$18,000C)$27,000D)$15,750 programmers often use temporary dummy print statementsprint statements that are temporarily inserted into the codeto help locate a ____. a.syntax error c.compile-time errorb.rules error d.logic error For the expression (a 0 3(a - b) b) = (1 0 3 1) (a 0 0 b) (1 0 -3 1) Use the factorization 'A=PDP-1'to compute 'Ak' where 'k' represents an arbitrary positive integer. what does elizabeth realize when she finds out that she has been accused? If output sells for $5, what is the profit-maximizing amount of labor to use?The firm will hire 100 units of labor. (Enter your response as an integer.)How much output will the firm produce?The profit-maximizing level of output will be 250 units. (Enter your response as an integer.) A baseball player tosses a ball straight up into the air. The function y = 16x 2+ 30x + 5 models the motion of the ball, where x is the time in seconds and y is the height of the ball, in feet A student surveyed 100 students and determined the number of students who take statistics or calculus among seniors and juniors. Here are the results.A 3-column table with 2 rows. Column 1 has entries senior, junior. Column 2 is labeled Statistics with entries 15, 18. Column 3 is labeled Calculus with entries 35, 32. The columns are titled type of class and the rows are titled class.Let A be the event that the student takes statistics and B be the event that the student is a senior.What is P(Ac or B)?0.180.680.820.97answer is c For the following reaction at 25 C:2 A(aq) B(aq) + C(aq) Go = 50.5 kJ mol1What is G when the initial concentrations are:[A] = 0.100 M, [B] = 0.010 M, and [C] = 0.010 MA. 1.15 104 kJ mol1B. 67.6 kJ mol1C. 1.14 104 kJ mol1D. 61.9 kJ mol1E. 39.1 kJ mol1 is there a relation between reflected angle and incident angle? explain it in few sentences.\ successfully quitting nicotine use has what reported impact on former users? If james's marginal and average total costs are $8, and his firm is in a perfectly competitive industry, he will charge a price of $_____. The Irish and Germans were the two largest immigrant groups to the United States in the mid 1800s they came due to a variety of push and pull factors write the letter of each answer choice in the correct position in the table. Some answer choices may be used more than once or not at all Consider the following two mutually exclusive projects:YearCash Flow (x)Cash Flow (Y)0-24000-2400011062012100210900936031050010400Sketch the NPV profiles for X and Y over a range of discount rates from zero to 25 percent. What is the crossover rate for these two projects?