Rectangle 25 feet long. It has a perimeter of 130 feet. What is the area of the basement?

Answers

Answer 1

Final answer:

To find the area of the basement, we started with the given perimeter of 130 feet and the known length of 25 feet and solved for the missing width. Once we determined the width was 40 feet, we used the formula for the area of a rectangle (Area = length × width) to calculate that the basement's area is 1000 square feet.

Explanation:

To solve the question regarding the area of a rectangle where the length is 25 feet and the perimeter is 130 feet, we must first deduce the width of the rectangle using the perimeter formula: P = 2l + 2w (where P is the perimeter, l is the length, and w is the width). Since we know the perimeter (P) and the length (l), we can rearrange this formula to solve for the width (w).

The perimeter formula is expressed as:

130 = 2(25) + 2w

130 = 50 + 2w

2w = 130 - 50

2w = 80

w = 40 feet

Now that we have both the length and the width, we can calculate the area of the rectangle using the formula Area = length × width.

Therefore, the area of the rectangle is:

Area = 25 feet × 40 feet
Area = 1000 square feet


Related Questions

Please Help !
TRYING TO MAKE HONOR ROLL

Which point represents the solution to the system of equations below ?

Answers

Answer:

I think its c. but i could be wrong

The Indian Ocean is 2/10 of the area of the world’s oceans. What fraction represents the area of the remaining oceans that make up the world’s ocean? Wrote in simplest form

Answers

Answer I believe it would just be 8/10

Step-by-step explanation:

You have 2/10 of the worlds ocean which = Indian Ocean

So Your remaining ocean (10-2 = 8)

Also known as 8/10

The remaining oceans make up 4/5 of the world's oceans after subtracting the 1/5 that represents the Indian Ocean.

If the Indian Ocean covers 2/10 (or 1/5 when simplified) of the world's oceans, then the fraction representing the remaining oceans is found by subtracting this fraction from the whole (1, as the whole represents all of the world's oceans).

So, the calculation to find the fraction of the area of the remaining oceans would be:

1 - 2/10 = 1 - 1/5 = 5/5 - 1/5 = 4/5

Therefore, the remaining oceans make up 4/5 of the area of the world's oceans.

Evaluate the expression when x=3 and y= -2

Answers

Answer:

-11

Step-by-step explanation:

To evaluate an expression with variables, replace the variables with what the question tells you to.

Replace "x" with 3. Replace "y" with -2.

-x + 4y

= -(3) + 4(-2)       Multiply 4 and -2 first to get -8

= (-3) + (-8)         Add normally. -3 + (-8) is the same as (-3) - 8.

= -11             Answer

Therefore the solution is -11.


f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, ∞) and g(x) = 2x2 + 8x + 6, compare f(x) and g(x). Select the statement that is not correct?

A) Both functions have the same vertex.

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Answers

Answer:

B) Both functions have the same domain.

C) Both functions have the same x-intercepts.

D) Both functions are decreasing on the interval (−∞, −2).

Step-by-step explanation:

step 1

Find the vertex of f(x)

we know that

The x-coordinate of the vertex is the midpoint of the roots

we have

x=-1 and x=-3

so

the midpoint is

(-1-3)/2=-2

The y-coordinate of the vertex is -4 (because the range is [−4, ∞))

therefore

The vertex of f(x) is the point (-2,-4)

Is a vertical parabola open upward

The vertex is a minimum

The domain is all real numbers

step 2

we have

[tex]g(x)=2x^2+8x+6[/tex]

Find the vertex

Factor the leading coefficient

[tex]g(x)=2(x^2+4x)+6[/tex]

Complete the square

[tex]g(x)=2(x^2+4x+4)+6-8[/tex]

[tex]g(x)=2(x^2+4x+4)-2[/tex]

Rewrite as perfect squares

[tex]g(x)=2(x+2)^2-2[/tex]

Is a vertical parabola open upward

The vertex is the point (-2,-2)

The domain is all real numbers

The range is the interval [−2, ∞)

Find the x-intercepts

For g(x)=0

[tex]0=2(x+2)^2-2[/tex]

[tex]2(x+2)^2=2[/tex]

[tex](x+2)^2=1\\x+2=\pm1\\x=-2\pm1[/tex]

so

The roots or x-intercepts are

x=-1 and x=-3

Verify each statement

A) Both functions have the same vertex

The statement is false

The vertex of f(x) is (-2,-4) and the vertex of g(x) is (-2,-2)

B) Both functions have the same domain.

The statement is true

The domain is all real numbers

C) Both functions have the same x-intercepts

The statement is true  (see the explanation)

D) Both functions are decreasing on the interval (−∞, −2)

The statement is true

Because the x-coordinate of the vertex is the same in both functions, and both functions open upward

Answer:

The answer is A

Step-by-step explanation:

The graph for the equation y=-2x+1 is shown below. If another equation is graphed so that the system has no solution, which equation could that be

Answers

y=-2x+3 (could be any y-int as long as it has the same slope)

This line is parallel to the original line so they never intersect

Therefore the answer is no solution

Answer:

B. y = -1/2 (4x + 2)

Step-by-step explanation:

your welcome :) and sorry that I'm a bit late

Widget Wonders produces widgets. They
have found that the cost, o(x), of making x
widgets is a quadratic function in terms of x.
The company also discovered that it costs
$20.50 to produce 3 widgets. $60.50 to
produce 7 widgets, and $133 to produce 12
widgets.
What is the total cost of producing nine widgets

Answers

Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50

Select all that apply.

What did scribes in medieval Europe do?

became nomadic preachers
copied books and other religious material
kept records and wrote about current events
preserved learning and libraries
developed a way to treat eyestrain

Answers

Final answer:

Scribes in medieval Europe had several important roles:

including copying books and religious material, keeping records and writing about current events,preserving learning and libraries.

Explanation:

Scribes in medieval Europe had several important roles:

They copied books and other religious material: Scribes were responsible for hand-copying books, particularly ones related to Christian theology, such as the Bible. They also copied classical Greek or Roman writings that would have otherwise been lost. These hand-copied books, known as illuminated manuscripts, were often beautifully illustrated.They kept records and wrote about current events: Scribes also played a crucial role in keeping records and documenting current events. They wrote about important historical and political events, as well as religious and civil information.They preserved learning and libraries: Monasteries, where many scribes worked, became major centers of learning in medieval Europe. Scribes helped preserve knowledge from the ancient world by copying and preserving books. They also contributed to the development of libraries.

The school that Julia goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 5 adult tickets and 13 child tickets for a total of $159. The school
took in $51 on the second day by selling 1 adult ticket and 5 child tickets. What is the price each
of one adult ticket and one child ticket?!​

Answers

We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.

Answer:

The price of 1 adult ticket is $11, while the price of one child ticket is $8.

Step-by-step explanation:

Let's identify what we already know:

1) On the first day of ticket sales, the school sold $159 worth of tickets.

2) On the first day, they sold 5 adults tickets, and 13 adult tickets.

3) The school sold $51 worth of tickets on the second day.

4) The school sold 1 adult ticket, and 5 child tickets.

Let's create two formulas:

(5 times x) + (13 times y) = $159

(1 times x) + (5 times y) = $51

sixteen and two-tenth subtracted from two times a number

Answers

The required number is 18.

Step-by-step explanation:

Let the required number = x

To find, the required number = ?

According to question,

∴ 2x - 16 - 2 × 10 = 0

⇒ 2x - 16 - 20 = 0

⇒ 2x - 36 = 0

⇒ 2x = 36

⇒ x = 18

∴  The required number = 18

Thus, the required number is 18.

Answer: x=18

Explanation:

You invested into a content management company that specializes in peer to peer networks four years ago with a stock value
of $56.30 a share. Today, a single share of the company is worth $32.21. Given this information, determine the decay factor
for the four year period and round your answer to the hundredth place.
a 57.0
C. 570
b. 0.57
d. 1.57

Answers

Answer:

0.57

Step-by-step explanation:

56.30 divided by 1.57=32.21

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix.

Represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups, in two different ways (table, graph, or equation)explain the variables

Answers

Answer:

[tex]y = \frac{1}{4}x[/tex]

x  y

4  1

8  2

12  3

16  4

Step-by-step explanation:

Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example, she mixes [tex]\frac{1}{2}[/tex] teaspoon of red pepper flakes to 2 cups of tomato mix.

So, the amount of tomato mix in cups is the independent variable represented by x and the amount of red pepper flakes in teaspoon is the dependent variable represented by y and the relation between them is given by y = kx, as the relation is proportional.

Now, putting x = 2 and y = [tex]\frac{1}{2}[/tex], we get

[tex]\frac{1}{2} = 2k[/tex]

⇒ k = [tex]\frac{1}{4}[/tex]

Therefore, the equation is [tex]y = \frac{1}{4}x[/tex] (Answer)

Now, in table the relation will be given by

x  y

4  1

8  2

12  3

16  4 (Answer)

The relationship between red pepper flakes and tomato mix can be represented by a table showing different quantities matching the ratio, and by an equation, p = (1/4) * t, which expresses the amount of red pepper flakes (p) needed for any given amount of tomato mix (t).

To represent the relationship between red pepper flakes and tomato mix which Angie uses to make her spicy salsa, we will use a table and an equation.

Table Representation:

Red Pepper Flakes (teaspoons)Tomato Mix (cups)1/22141 1/2628

In the table, the amount of red pepper flakes increases proportionally with the amount of tomato mix. This proportional relationship can also be represented numerically.

Equation Representation:

Let's define p as the amount of red pepper flakes in teaspoons and t as the amount of tomato mix in cups. The ratio given is 1/2 teaspoon of red pepper flakes to 2 cups of tomato mix, which simplifies to 1/4 teaspoon per cup. Thus, the equation is:

p = (1/4) * t

This equation states that for every cup of tomato mix, you use 1/4 teaspoon of red pepper flakes. Therefore, if Angie has t cups of tomato mix, she will need p = (1/4) * t teaspoons of red pepper flakes.

Ben works in a sandwich shop. On average, he makes 3 sandwiches every 10 minutes. If Ben works 6 hours how many sandwiches will he make?

Answers

Answer: 108

Step-by-step explanation:

18 sandwiches are mad every hour then multiply it by 6 .

which inequality is equivalent to -m>_15

Answers

Answer:

m<=-15

Step-by-step explanation:

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Answers

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

Answer:

-99

Step-by-step explanation:

you subtract by 6 every number.....

-3-6=-9

-9-6=-15

so on and so on until you get to the 20th term.....

Kendra is three times her daughter's age plus seven years Kendra is 49 years old write an equation to find her daughter's age

Answers

Answer: [tex]49 = 3x + 7[/tex]

Step-by-step explanation:

Let the daughter's age be x and Kendra's age be y , then from the first statement;

[tex]y = 3x + 7[/tex]

Since Kendra's age is 49 , substitute it into the equation , we have

[tex]49 = 3x + 7[/tex]

subtract t from both sides

[tex]49 - 7 = 3x[/tex]

[tex]42 = 3x[/tex]

divide through by 3

[tex]x = 14[/tex]

Therefore : the daughter's age is 14

Answer:

3x+7=49

Step-by-step explanation:

The first mechanic charged $95 per hours, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,000. How long did each mechanic work?

Answers

Answer:

Step-by-step explanation:

Let a represent the hours put in my mechanic 1 and b represent that of mechanic 2.

a + b = 25, i.e. a = 25 - b

95a + 70b = 2000

Let's substitute the value of a in the second equation

95(25 - b) + 70b = 2000

2375 - 95b + 70b = 2000

2375 - 25b = 2000

-25b = 2000 - 2375

-25b = -375

b = 375/25

b = 15hrs

If b = 15hrs,

a + 15 = 25

a = 10hrs

If 2y + 6 = 1 −3y, then y = −−−−−−

Answers

Answer:

y = -1

Step-by-step explanation:

Add 3y to both sides:

2y + 3y + 6 = 1 - 3y + 3y

Simplify:

5y + 6 = 1

Subtract 6 from both sides to isolate the y value:

5y + 6 - 6 = 1 - 6

Simplify:

5y = -5

Divide by 5 on both sides to solve:

5y/5 = -5/5

Simplify:

y = -1

3x^+7x-6 factor completely

Answers

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

Step-by-step explanation:

To find the factors of the equation,

1) Multiply the coefficient of the [tex]x^2[/tex] and the constant value.

⇒3×(-6)= -18.

2) Now find two numbers that can result is in -18 while multiplying and 7 (middle term or coefficient of x) while adding.

⇒9 × (-2) = -18.

9+(-2)= 7.

Now spit the equation as[tex]3x^2+9x-2x-6[/tex].

=[tex](3x^2+9x)-(2x-6)[/tex].

=3x(x+3) - 2(x+3).

=(x+3)(3x-2).  (by taking out the common term x+3)

The factor for given equation [tex]3x^2+7x-6[/tex] is (3x-2) and (x+3).

Find two consecutive even integers such that the sun of the larger and twice the smaller is 62.

Answers

Answer:

20 and 22.

Step-by-step explanation:

Let the consecutive integers be a and b

Then b = a + 2

a is the smaller integer.

[tex]\begin{array}{rcl}2a + b & = & 62\\2a + a + 2& = & 62\\3a + 2 & = & 62\\3a & = & 60\\a & = & \dfrac{60}{3}\\\\& = & \mathbf{20}\\\end{array}[/tex]

a               = 20

b = 20 + 2 = 22

The two integers, in ascending order, are 20 and 22.

Check:

2(20) + 22 = 62

    40 + 22 = 62

             62 = 62

OK.

a food truck sells salad for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads ans drinks in one day was $836.50. How many salads were sold that day?

Answers

Answer:

93

Step-by-step explanation:

s= salads  d= drinks

$6.5s + $2d = $836.5

s + d =209

s = 209-d

6.5 (209-d) + 2d = 836.5

1358.5 - 6.5d + 2d = 836.5

-4.5d = -522

d = 116

s = 209 - 116 = 93

Write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution. Solve your equation to show that the solution are the same.

Answers

Answer:

[tex]x = \frac{3}{5} \times \frac{5}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]

Step-by-step explanation:

We have to write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution.

Let the multiplication equation be, [tex]x = \frac{3}{5} \times \frac{5}{7}[/tex].

And the subtraction equation is, [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]

Now,  [tex]x = \frac{3}{5} \times \frac{5}{7} = \frac{3}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3} = \frac{16 - 7}{21} = \frac{9}{21} = \frac{3}{7}[/tex]

Therefore, in both the equations the solution is [tex]\frac{3}{7}[/tex]. (Answer)

Final answer:

Both a multiplication equation (½ * 2 = 1) and a subtraction equation (1 - ½ = ½) can be constructed to have the same solution, where the multiplication involves doubling the fraction and the subtraction involves a whole number minus the fraction.

Explanation:

Creating a multiplication equation and a subtraction equation with the same solution involves finding a common value that the operations can share. Here's a simple example:

Let's say we have the fraction ½. If we want a multiplication equation, we could multiply this fraction by 2 to get 1 (since ½ * 2 = 1).

Multiplication equation: ½ * x = 1, where x = 2.

For the subtraction equation, we consider the fact that subtracting 0 from any number leaves it unchanged. We can use this to our advantage by creating an equation where we subtract a fraction from itself:

Subtraction equation: y - ½ = ½, where y = 1.

By solving these equations, we can see they have the same solution:

½ * 2 = 11 - ½ = ½

Both equations simplify to the same value, demonstrating that multiplication and subtraction can indeed share the same result when formulated correctly.

In a class room of 30 students, 18 are female and 12 are male. If you randomly select one person, what is the probability you will select a female

Answers

There is a 60% chance that a female will be chosen .





18/30 = 0.60 .

Help help help help

Answers

Answer:

b=[tex]\frac{t-5}{4}[/tex]

Step-by-step explanation:

4b+5=t

First, you must get the variable alone! Substract 5 from both sides!

4b+5=t

    -5  -5

The 5 cancels out because 5-5=0

The new equation is 4b=t-5

You must divide by 4 to get the variable alone since your solving for b!

4b=t-5

4      4

b= [tex]\frac{t-5}{4} \\[/tex]

This is your answer!

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle F? Enter your answer in the box. ​ m∠F= ​ ° An irregular hexagon labeled ABCDEF with angle A parenthesis x minus sixty parenthesis degrees, angle B parenthesis X minus forty parenthesis degrees, angle C one hundred thirty degrees, D one hundred twenty degrees, E one hundred ten degrees, F parenthesis x minus twenty parenthesis degrees

Answers

Answer: [tex]m\angle F=140\°[/tex]

Step-by-step explanation:

The missing figure is attached.

You know that the sum of the interior angles of an hexagon is 720 degrees.

Based on that and given the figure attached, you can set up the following equation:

[tex](x-60)+(x-40)+130+120+110+(x-20)=720[/tex]

The next step is to solve for "x" in order to find its value. This is:

[tex]x-60+x-40+130+120+110+x-20=720\\\\3x=720-240\\\\3x=480\\\\x=\frac{480}{3}\\\\x=160[/tex]

Now you must substitute the valUe of "x" calculated above, into [tex]m\angle F=(x-20)\°[/tex]:

[tex]m\angle F=(160-20)\°[/tex]

Finally, evaluating, you get that the measure of the angle F is:

[tex]m\angle F=140\°[/tex]

Answer:

114 is the real correct answer

Step-by-step explanation:

May God Bless

GIVING BRAINLIEST Consider these proportions: 3:7.5 4:10 5:12.5 6:15 Which of the following proportions belongs to the above set? A 1:2.5 B 2:4.5 C 7:12.5 D 8:20 a. A and B c. C and D b. B and C d. D and A

Answers

Answer:

3:7.5 = 1:2.5 = 2:5

4:10 = 2:5

5:12.5 = 10:25 = 2:5

6:15 = 2:5

A and D belong to this set:

A: 1:2.5 = 2:5

D: 8:20 = 2:5

Is 0,3 a solution to 2x-y=-3

Answers

0 = x and 3 = y, so substitute in the values to get 2(0) - 3 = -3. 2*0 = 0, so 0-3=-3 which is -3 = -3. yes this is a solution

Answer:

  Yes, (x, y) = (0, 3) is a solution

Step-by-step explanation:

You can determine whether a given ordered pair is a solution by substituting those values into the equation, then checking to see if the resulting statement is true.

For x=0 and y=3, the equation becomes ...

  2·0 -3 = -3 . . . . . a true statement

(0, 3) is a solution to the equation

start time 1:20 pm end time 2:00pm elapsed time​

Answers

Answer:

40 minutes

Step-by-step explanation:

Elapsed time = end time - start time

Elapsed time = 2:00 - 1: 20

Elapsed time = 40 minutes

T=42-0.7t how fast did the temperature drop?

Answers

Final answer:

The given equation describes a linear relationship between temperature and time. The slope, -0.7, indicates that the temperature is dropping at a rate of 0.7 degrees per unit of time.

Explanation:

The equation given, T=42-0.7t, is in the form of a linear equation, y=mx+b, where T is the temperature in degrees Celsius, t is the time, 42 represents an initial temperature, and -0.7 is the slope representing the rate of temperature change over time.

In this equation, the slope, -0.7, tells us that the temperature is decreasing or dropping at a rate of 0.7 degrees per unit of time. This could be per minute, per hour, etc., depending on the context given.

Note that because the '-0.7' is negative, we know that the temperature is decreasing, or dropping, rather than increasing. If it were positive, it would mean the temperature is rising. Thus, when you're asked how fast the temperature is dropping, the answer based on this equation is that it's dropping at a rate of 0.7 degrees per unit of time.

Learn more about Rate of Temperature Change here:

https://brainly.com/question/11482539

#SPJ12

The temperature drops at a rate of 0.7 degrees per time unit, as indicated by the coefficient of t in the equation T = 42 - 0.7t.

The equation given, T = 42 - 0.7t, suggests a relationship between temperature (T) and time (t), where the temperature drops over time due to some cooling process, such as a cold front arriving. To determine how fast the temperature is dropping, we look at the coefficient of t in the equation, which is -0.7. This means that for every unit of time that passes, the temperature drops by 0.7 units. Thus, the rate of temperature drop is 0.7 degrees per time unit, assuming the temperature is measured in degrees and time in matching time units (likely minutes or seconds).

Suppose a population has a doubling time of 25 years. By what factor will it grow in 25 years? 50 years? In 100 years?

Answers

Final answer:

A population with a doubling time of 25 years will grow by a factor of 2 in 25 years, by a factor of 4 in 50 years, and by a factor of 16 in 100 years, based on the exponential growth rule.

Explanation:

If a population has a doubling time of 25 years, by what factor will it grow in various timeframes? Let's calculate this using the rule of exponential growth.

In 25 years, the factor by which the population will grow is 2, because the definition of doubling time implies that the population doubles every 25 years.

In 50 years, which is two doubling periods, the population will grow by a factor of 2^2 (2 raised to the power of 2), which is 4.

In 100 years, which is four doubling periods, the population growth factor will be 2^4 (2 raised to the power of 4), which equals 16.

Thus:

After 25 years, growth factor = 2After 50 years, growth factor = 4After 100 years, growth factor = 16

Shawn's father gave him $168. Shawn bought 10 books, each of which cost $10. How much money does Shawn have left?

will make brainliest

Answers

Answer:

68$

Step-by-step explanation:

cost of 10 book= 10$ * 10= 100$

now,

Remaining money= 168$-100$

                             =68$

Answer:

$68

Step-by-step explanation:

If each of the 10 books costs $10, you must multiply $10 x 10 to get $100. Then, you do $168 - $100 and get $68.

Other Questions
Lines 11321143: What sentence in Proctors speech states one of Millers central themes? Explain what the sentence means and how it relates to the theme. In a causal-comparative study, what is the difference between independent variables and dependent variables? Which statement explains why 2 is an irrational number? Physical abuse can possibly harm which dimension of wellness: A.Physical wellnessB.Spiritual wellnessC.Emotional wellnessD.All of the above Frank, the head of the accounting department in a manufacturing firm, has established strong internal accounting controls in place. He recently learned that some of the employees are not following the controls despite the instructions that they were given. The employees actual performance has thus deviated from their expected performance. Frank plans to identify the cause of such deviation and take corrective action at the earliest. Which element of internal accounting controls relates to Franks decision related?A. risk assessmentB. control environmentC. control proceduresD. information and communicationE. monitoring Suppose that government officials want to increase the population, so they offer a $1,000 payment for to the parents of each child born. Which of the five foundations of economics best describes the thinking of these government officials? a. opportunity cost. b. incentives. c. trade creates value. d. marginal thinking. During the new employee orientation, the training officer meets with the new EMTs and explains to them the monthly training schedule and the classes they must attend for EMT recertification. One of the new EMTs asks the training officer why they have to keep taking EMT courses if they already passed the EMT examination. What is the best answer? Functional structures are usually found in organizations where there___________.a. is no vertical integration.b. is a single or closely related product.c. exists a strong need to decentralize decision making.d. are unrelated service offerings. 4. The artist painted a verdant landscape.(a) The artist painted a green and fertile landscape.(b) The artist painted a moonlit landscape. A test has the capability to detect a defect with 98% accuracy. It also tends to indicate a defect when there is none about 1% of the time. About 1 in 2000 test subjects has a defect. What is the probably that a subject chosen at random and is indicated to have a defect, really does have a defect? (0.25 points) When you write a program that will run in a GUI environment as opposed to acommand-line environment, ____________.you do not need to plan the logicthe logic is very differentusers are more confusedsome syntax is different In attempting to find the causative agent for a particular disease, you find that the agent remains infectious even after treatment with DNAse, an enzyme that degrades DNA. What could the disease's causative agent be? According to Barry Goldwater, what two forces are in constant conflict? Is 8c an even integer? Yes, because 8c = 2(4c) + 1 and 4c is an integer. Yes, because 8c = 2(4c) and 4c is an integer. No, because 8c = 2(4c) and 4c is an integer. No, because 8c = 2(4c) + 1 and 4c is an integer. The popularity of digital cameras has enticed large discount stores like Walmart and Costco to offer digital photo printing services. How does the offering of the printing service by Walmart and Costco affect the digital photo printing market? Natural selection _________. is the result of sampling error results in evolutionary adaptation does not affect allelic frequencies prepares organisms for future changes in the environment Consider a society that must choose between making automobiles and tractors. The quantity of automobiles produced is graphed on the vertical axis on the PPF. What happens to the opportunity cost of making tractors as society moves to the right and down the curve?A) The opportunity cost stays the same.B) The opportunity cost decreases substantially.C) The opportunity cost decreases slightly.D) The opportunity cost increases If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G isA (7, -1),(2, -8),(0, 0),(6, 6)]B (-8,-1,0, 6)C (0, 2, 6, 7) Calculate the molar mass of a gas if an 8.0610(to the power of -2) gram sample of it occupies .0650 L at 547C and 70.5 kPa Insurance agents frequently emphasize "service" in their advertisements. What services should clients legitimately expect from their insurance agents?