Pamela hired a contractor to paint 75% of
the walls in her house. She has 3,996 square
feet of walls. How many square feet of the
walls are NOT painted?

Answer: The answer is 5x5=25 rows of crops.

Step-by-step explanation:

A farmer has 5 acres of land and wants to plant 5 rows of crops on each acre. How many total rows of crops will the farmer have planted?

The answer is 5x5=25 rows of crops.

Answer: There were 5 groups of cats, and there 5 cats in each group. How many cats are there in total?

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.

Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.

Brendan's statement and understand the concept of dilation:

1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.

2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.

Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.

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Answer:

Not particularly, as your answer would be the same either way, though practicality would turn negative 9 into minus 9, so it would go from

x + (-9) + 9 and become x -9 +9.

Also, the -9 and the 9 would cancel out.

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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If the first term of a geometric sequence is 8 and the common ratio is 3. Then the fifth term of the geometric sequence will be 648.

There are three parameters that differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply the previous term to get the next term.

The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is 'a' and the term by which we multiply the previous term to get the next term is 'r' (also called the common ratio)

The first term of a geometric sequence is 8 and the common ratio is 3.

Then the fifth term of the sequence will be

\(\rm T_n = a_1 \ r^{n-1}\)

Then we have

T₅ = 8 x 3⁵⁻¹

T₅ = 8 x 3⁴

T₅ = 8 x 81

T₅ = 648

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Answer:

true

Step-by-step explanation:

Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .

Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)

Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .

Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.

So in this case, yes, 0.5 is a rational number.

Answer:

true

Step-by-step explanation:

The given equation is

We will factor the given equation using the difference of squares formula given below

So, we have

Applying the above formula will result in,

Therefore, the factors of the given equation are

Bonus:

You can find the possible values of x by equating the factors to zero.

Similarly,

So, the possible values of x are

Answer:

vertex:(−4,−4)

y-intercept:(0,12)

roots x=−2

and x= -6

AOS:-4

Step-by-step explanation:

Answer:

input +12 = output

Step-by-step explanation:

3 .    15

5 .    17

12 .   24

40 .   52

63 .    75

Answer:

2.9 = 29/10 = 2 9/10 

Step-by-step explanation:

Step 1:

Write down the number as a fraction of one:

2.9 = 2.91

Step 2:

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 number after the decimal point, we multiply both the numerator and denominator by 10.

So, 2.91 = (2.9 × 10)(1 × 10) = 29/10.

(This fraction is already reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 29/10 is also equal to 2 9/10 when expressed as a mixed number.

\( \frac{29}{10} \)

Step-by-step explanation:

Write 2.9 as

\( \frac{2.9}{1} \)

Multiply both numerator and denominator by 10 for every number after the decimal point

\( \frac{2.1}{1} \times \: \frac{10}{10} = \frac{29}{10} \)

Reducing the fraction gives

\( \frac{29}{10} \)

Changing it into mixed fraction gives

2 9/10

Hope it helps you...

Answer:

There are 3 shipments.

Step-by-step explanation:

According to the stem-leaf diagram, 59 appears 3 times which means that 3 shipments have exactly 59 broken tiles.

Answer:

3 shipments

Step-by-step explanation:

In the given stem-leaf chart, the stem having 5 has 3 9's in it which makes it 59. So, there are 3 59's.

There are 3 shipments having 59 broken tiles.

Answer:

a=(-3,-6) and b=(12,4)

from -3 to 12 is 15 units

7/10 * 15=10.5

add 10.5 to -3 to get 7.5 for the x-coordinate

from -6 to 4 is 10 units

7/10 * 10=7

add 7 to -6 to get 1 for the y-coordinate

the point 7/10 of the way from a to b is (7.5,1) ANSWER

graph these points to check your answer (the point (7.5,1) is on the line segment AB))

also, the distance from a to b is 18.0277

7/10 of this is 12.62

the distance from (-3,-6) to (7.5,1) is also 12.62

Step-by-step explanation:

Answer:

Luis's account has a greater average rate of change than Sara's account between 10 and 20 weeks.

Step-by-step explanation:

An exponential function means a curved line while a linear function is a straight line.

Sara's account has a greater average rate of change than Luis' account between 10 and 20 weeks.

Option B is the correct answer.

The average rate of change is the amount of change in a quantity over a given time interval.

It is calculated by dividing the change in the quantity by the time interval over which the change occurred.

We have,

To compare the average rate of change, we need to find the total change in each account between 10 and 20 weeks and then divide it by the number of weeks.

For Luis's account:

Initial deposit = $125

Weekly deposit = $60

Total deposits between 10 and 20 weeks = 11 weeks x $60/week = $660

Total balance after 20 weeks = $125 + $660 = $785

Total change between 10 and 20 weeks = $660

The average rate of change is between 10 and 20 weeks.

= $660/10 weeks

= $66/week

For Sara's account:

Initial deposit = $50

Weekly increase = 4% of the previous week's balance

Balance after 10 weeks = $50 x 1.04^10 = $68.49 (rounded to the nearest cent)

Balance after 20 weeks = $68.49 x 1.04^10 = $92.57 (rounded to the nearest cent)

Total change between 10 and 20 weeks = $92.57 - $68.49 = $24.08

The average rate of change is between 10 and 20 weeks.

= $24.08/10 weeks

= $2.41/week

Therefore,

Sara's account has a greater average rate of change than Luis' account between 10 and 20 weeks.

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The cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.

The average rate at which the prices of goods and services change within a year is called the average inflation rate.

Given that, a meal in a restaurant cost $40 in 2000, we need to find its price in 1992 dollars,

The dollar had an average inflation rate of 2.45% per year between 1992 and today,

The year change = 2000 - 1992 = 8

Therefore, the $40 in 1992 =

= 40 - (40 × 8 × 2.45 / 100)

= 40 - (7.84)

= 32.16

Hence, the cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(refer to attached picture)

We know the amplitude of the function is given by:

\(\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|\)

As we can see in the graph the maximum value is 0 and

the minimum value of a function is -4, thus the amplitude

\(\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|\)

The amplitude of f = 2

Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.

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In this case r =3, h= 7

In this case,

r=3, h=7

Hence

volume of cone + volume of cylinder = 263.89 cube units

Answer:

19

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

5x-5=90

5x=95

x=19

By solving this we find that x is equal to 19.

Answer:

19

Step-by-step explanation:

3*19 = 57

57 - 15 = 42

2*19 = 38

38 + 10 = 48

48 + 42 = 90

(As this is a 90 degree angle)

The argument in the given statement is a deductive argument. The criteria for this interpretation is the form of argumentation, specifically the inferential link between the premises and conclusion.

In a deductive argument, the conclusion logically follows from the premises and, if the premises are true, then the conclusion must be true as well. In other words, the conclusion is necessarily entailed by the premises. In a deductive argument, the conclusion is not just supported by the premises, but it can be derived from them with certainty.

The argument "Ordinary things that we encounter every day are electrically neutral. Therefore, since negatively charged electrons are a part of everything, positively charged particles must also exist in all matter" is an example of a deductive argument because it follows the pattern of deductive reasoning.

The first premise, "Ordinary things that we encounter every day are electrically neutral," provides evidence for the conclusion, "positively charged particles must also exist in all matter." The conclusion is logically entailed by the premises, and if the premises are true, then the conclusion must be true as well.

In this argument, the use of the word "therefore" signals the relationship between the premises and the conclusion. The word "therefore" indicates that the conclusion is a logical consequence of the premises, which supports the interpretation of this argument as a deductive argument.

In conclusion, based on the form of argumentation and the inferential link between the premises and the conclusion, this argument is best interpreted as a deductive argument.

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This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

1128

Step-by-step explanation:

Math

Answer:

121

Step-by-step explanation:

firstly you arrange the numbers in ascending order the number in the middle is considered to be the median

Answer:

Below.

Step-by-step explanation:

So let's do this Divide both sides.

equals to,

y+2>2

Cancel out equal terms.

y>0.