A figure is fully contained in Quadrant Il.
Looking at the coordinate plane below, which letter represents this quadrant?

Answer: 24 seconds

Step-by-step explanation:

20/50=0.4

0.4*60=24

The percentage of 0 - 17 in 2015 is 23.97% and the percentage is decreasing by 0.048% in 2015

The equation of the function is given as

P(x) = 26x^-0.03

In 2015, x = 15

Substitute x = 15 in the equation P(x) = 26x^-0.03

P(15) = 26 * 15^-0.03

Evaluate the expression

P(15) = 23.97

Hence, the percentage of 0 - 17 in 2015 is 23.97%

The equation of the function is given as

P(x) = 26x^-0.03

Differentiate the function

P'(x) = -0.03 * 26x^-1.03

In 2015, x = 15

Substitute x = 15 in the equation

P'(15) = -0.03 * 26 * 15^-1.03

Evaluate

P'(15) = -0.048

Hence, the percentage is decreasing by 0.048% in 2015

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Answer:

77

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

[tex]3 \div 10 = 0.3 < 0.4[/tex]

Answer:

C

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Answer:

Step 1: 1605 - 75 = 1530

Step 2: 1530 / 255 = 6

Step-by-step explanation:

The economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

Economic value added (EVA) measures a company's financial performance or economic profit.

EVA is based on the residual wealth of the company for the fiscal year. It measures the value a company generates from its invested funds at the cost of capital.

EVA is calculated by deducting the cost of capital from the operating profit after tax (NOPAT).

2017 total capitalization = $21,904 million

2017 interest paid to debt investors = $877 million

Net income to shareholders = $8,654 million

Corporate tax rate = 21%

Profit before taxes = $10,954 million ($8,654/ 1 - 0.21)

Cost of capital = 10%

= $2,190.4 million ($21,904 x 10%)

EVA = NOPAT - (Invested Capital * WACC)

= $8,654 million - $2,190.4 million

= $6,463.60 million.

Thus, the economic value added (EVA) for Home Depot in the fiscal year, 2017, is $6,463.60 million.

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The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

Cubic feet of air used per minute = Difference in quantity of air in his tank / difference in time

= (30 - 12) / (3:30pm - 3:15pm)

= 18 / 15

= 1.2 cubic feet of air per minute

Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

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Answer: 43 ==> C

Step-by-step explanation:

3w − 11=

3(18)-11=

54-11=43 ==> C

Answer:

c, 43

Step-by-step explanation:

3 times 18, minus 11

The two expressions for the volume of a cube with a side length of S are:

V = S^3

V = S*S*S

A cube is a rectangular prism where the 3 dimensions have the same measure, which we will call the side-length of the cube.

So, if S is the sidelength of the cube, the volume will be given by the product between the product between the dimensions of the cube, and the 3 dimensions measure the same thing, which is S, then:

V = S*S*S

That is the expression without exponents, and the expression with an exponent is really trivial, we have S multiplied by itself 3 times, so we get:

V = S^3

These are the two expressions for the volume.

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Step-by-step explanation:

(a)

a, b, c are constants and play no role with their value when it goes relative to enormous numbers and to infinity.

but the sign is important.

a < 0, so, it will stay < 0 for all eternity/infinity.

(x + b)⁵ for x going to infinity, this goes to infinity.

for x going to -infinity, this also goes to -infinity (the exponent 5 is odd, so a negative value put to an odd power will create a negative result value).

(x - c)³ for x going to infinity, this goes to infinity.

for x going to -infinity, this also goes to -infinity (for the same reasons - 3 is an odd number).

x going to -infinity,

p(x) = -×-infinity×-infinity = -infinity

x going to infinity,

p(x) = -×infinity×infinity = -infinity

(b)

the x² terms drown out all other terms with lower x exponent (so, incl. -11x or any constants).

what remains for very, very large x is

9x²/8x² = 9/8 = 1.125

since we have x² terms, it does not matter, if x is positive or negative, the result is always positive.

so, x going to infinity or to -infinity, p(x) is the same again :

p(x) = 9/8 = 1.125

(c)

finally, we have a different result for x going to -infinity or to infinity.

x going to -infinity :

the exponent of e is then -6×-infinity = infinity. and e to the power of infinity is infinity.

p(x) = 9 + infinity = infinity

x going to infinity :

the exponent of e is then -6×infinity = -infinity. and e to the power of -infinity is 1/e to the power of infinity.

and that is 1/infinity. the limit for that is 0.

p(x) = 9 + 0 = 9

The total cost for a first draft that took 14 hours to complete is $2430.

It should be noted that when the work takes longer than 8 hours, the architect charges $105 for each additional hour. For 14 hours, the additional hours will be:

= 14 - 8

= 6 hours

Therefore, the total cost will be:

= 1800 + (105 × 6)

= 1800 + 630

= 2430

Therefore, the total cost for a first draft that took 14 hours to complete is $2430.

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The percent increase in the number of yards is 32.7%

At the end of the football game, Nathan carried the ball for 50.5 yards

At the end of the game, the ball was carried for a total of 75 yards

The percent increase in the number of yards can be calculated dividing the percentage change by the original value and multiplying by 100

= 75 - 50.5/75 × 100

= 24.5/75 × 100

= 0.3266 × 100

= 32.66

= 32.7%

Hence the percent increase in the number of yards is 32.7%

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Answer:

  1.5×10³

Step-by-step explanation:

You want to know the value of the expression given with numbers in scientific notation.

The usual rules of arithmetic and exponents apply. Your calculator or spreadsheet can use and display the numbers in scientific notation for you.

  [tex]\dfrac{6.48\times10^5}{(2.4\times10^4)(1.8\times10^{-2})}=\dfrac{6.48}{2.4\times1.8}\times10^{5-4-(-2)}=\boxed{1.5\times10^3}[/tex]

Answer: i think the overall shape of a baseball bat would be more rectangular

Step-by-step explanation:

reason for thinking so: because a baseball bat depending on size, would normally fit into a rectangular box

Answer:

6 thousands + 4 hundreds

4727>6400

Step-by-step explanation:

4727<6400

- 7.84 is actual difference of percentage by  multiplier method to decrease.

What percentage means?

56 - Percentage decrease =

56 - (14% × 56) =

56 - 14% × 56 =

(1 - 14%) × 56 =

(100% - 14%) × 56 =

86% × 56 =

86 ÷ 100 × 56 =

86 × 56 ÷ 100 =

4,816 ÷ 100 =

48.16

56 decreased by 14% = 48.16

Absolute change (actual difference):

48.16 - 56 = - 7.84

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Answer:

For this problem, x has multiple values, so we will solve for both.

Step-by-step explanation:

[tex]x^2+10x-11=11-11\\x^2+10x-11=0\\[/tex]

Quadratic rule

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:} a=1,\:b=10,\:c=-11[/tex]

[tex]x_{1,\:2}=\frac{-10\pm \sqrt{10^2-4\cdot \:1\cdot \left(-11\right)}}{2\cdot \:1}[/tex]

Dealing with radicals

[tex]\sqrt{10^2-4\cdot \:1\cdot \left(-11\right)}\\=\sqrt{10^2+4\cdot \:1\cdot \:11}\\=\sqrt{10^2+44}\\=\sqrt{100+44}\\=\sqrt{144}\\=\sqrt{12^2}\\=12\\[/tex]

Multi-solution expression

[tex]x_1=\frac{-10+12}{2\cdot \:1},\:x_2=\frac{-10-12}{2\cdot \:1}[/tex]

Solve for x₁

[tex]\frac{-10+12}{2\cdot \:1}\\=\frac{2}{2\cdot \:1}\\=\frac{2}{2}\\=1[/tex]

Solve for x₂

[tex]\frac{-10-12}{2\cdot \:1}\\=\frac{-22}{2\cdot \:1}\\=\frac{-22}{2}\\= -\frac{22}{2}\\= -11[/tex]

Thus, x has 2 values for 2 different numbers:

x₁ = 1

x₂ = -11

➲ Hope this helps!

Answer:

M would be at (0,-2)

Step-by-step explanation:

The question asks you to rotate the image 180 degrees clockwise. Clockwise means towards the right, such as how a clock moves. Each axis is 90 degrees, so by moving it twice would land at (0,-2).

A horizontal line (such as the x-axis) is 180 degrees, so by mirroring the point, you would see the point is at (0,-2).

We can conclude that the equation 36x + 9 equals -1/4.

So,

Therefore, we can conclude that the equation 36x + 9 equals -1/4.

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The inequality expression 4/z >= 3 is false, when z = 2 because 2 is not greater than or equal to 3

The inequality expression is given as

4/z >= 3

The value of z is given as

z = 2

Substitute 2 for z in the inequality expression given as

4/z >= 3

So, we  have:

4/2 >= 3

Evaluate the quotient

2 >= 3

The above inequality expression is false.

This is so because 2 is not greater than or equal to 3

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Nearest whole number will be 782318.

Nearest ones whole number is the first digit before the decimal point of a number.

For example nearest ones of 9.6 is equal to 10.

If the tenth digit (first number before decimal point) of the number is greater than or equal to 5 we round up and add 1 to ones of number, If the tenth digit of the number is less than 5 we remove the decimal part. Example:

124.6

The first number of right of decimal point is 6

6 is greater than 5, so we add 1.

Result = 125

Now given number is 782317.772

since the  first digit after decimal is 7 which is greater than 5 thus the nearest whole number will be 782318.

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Answer: (a) The equation is so called "time equation"

D/12 + 16*60 + D/8 = 19*60 seconds

(b)  To determine the distance D, solve the equation

D/12 + D/8 = 19*60 - 16*60 = 3*60

multiply both sides by 24

2D + 3D = 3*60*24

5D          =4320

D             =4320/5 = 864 ft

Step-by-step explanation:

If no extra men were engaged then the work would have been completed in 45.5 days.

So,

The time required by 24 men to complete their work is:

Therefore, if no extra men were engaged then the work would have been completed in 45.5 days.

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Answer: 9/19

Step-by-step explanation:

9/19=0.4737

5/11=0.4545

7/15=0.4666

9/19 has the largest decimal making it largest.