Ava has a part-time job at a store. She earns a weekly salary. She also
earns a $0.60 bonus for each gift card she sells. The expression
65 +0.60g shows Ava's total weekly earnings. Identify any variables,
Defficients, and terms in the expression. Tell what each represents.

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: 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.

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

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).

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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Adding yes or no to the information that is enough to proof lines l and m are parallel

m<2 + m<4 = 180 degrees  no

m<1 = m<7  no

m<2 = m<6  yes

m<6 + m<3 = 180 degrees no

m<1 = m<8 yes

This is a term used in geometry to refer to lines that will never intersect. The concept of parallel lines is used to find angles that are related or equal to each other by the following theorems:

Using the mentioned theorems we apply to the statements as follows: The first statement is correct but not used to prove parallel lines. The second statement is not correct.

The third statement is correct, it represents transitive property of equality angles, where m<2 equals m<3 by Vertical angles theorem and m<3 is equal to m<6 as by Alternate interior angles theorem.

m<6 + m<3 = 180 degree: the two angles are equal as earlier explained but their sum is not 180 degrees

m<1 = m<8: The equality of these two angles is shown by transitive property of equality angles, and it is enough to prove that line l and m are parallel lines

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Answer: Its quadrant 3

Step-by-step explanation:

Hope this helps!

Answer:

Quadrant 3

Step-by-step explanation:

Lets have an example

Lets say we are plotting the point (-4,-4)

so, we would go left on the x-axis, to -4. So we will be in either Quadrant 2 or Quadrant 3

Now we go down 4, so we end up in Quadrant 3

Hence, The answer is Quadrant 3

Hope this helps!^^

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:

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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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!

The nearest decimal which is the approximate value of x is 18°..

The two slanting lines given in the diagram are parallel.

Furthermore, the horizontal line crosses both parallel lines given above.

Then the measure of the angles marked in the question is equal.

Therefore, we have 5x + 7° = 9x - 63°.

⇒ 63° + 7° = 9x - 5x

⇒ 70° = 4x

⇒ x = 70°÷ 4 = 17.5° ≈ 18°(approximate to the nearest decimal)

Therefore, x = 18°

Let us now compute the magnitude of each angle.

5x + 7 = 5 × 18 + 7 = 90 + 7 = 97

9x - 63 = 9 × 18 - 63 = 162 - 63 = 99

The measurement of these two angles differs by two degrees.. Because the value of x is not exact. We used the approximated value.

Let us recalculate the angle measurements using the exact value 17.5.

5x + 7 = 5 × 17.5 + 7 = 87.5 + 7 = 94.5

9x - 63 = 9 × 17.5 - 63 = 157.5 - 63 = 94.5

So, the exact value of x is 17.5°.

Hence, The nearly value of x to the nearest decimal is 18°.

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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

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]

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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Answer:

Step 1: 1605 - 75 = 1530

Step 2: 1530 / 255 = 6

Step-by-step explanation:

- 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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Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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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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The evaluation of the given angles are as follows;

Complementary angles sum up to 90°

Supplementary angles sum up to 180°

1. Let A and B represent the two angles, we have;

A + B = 180°

A - B = 35°

Which gives;

A + B + (A - B) = 180° + 35° =215°

A + B + (A - B) = A + A = 2•A

Which gives;

2•A = 125°

A = 215°/2 = 107.5°

A + B = 180°

B = 180° - A

Therefore;

B = 180° - 107.5° = 72.5°

The two angles are; A = 107.5° and B = 72.5°

2. ‹E + ‹F = 90° Definition of complementary angles.

‹E = ‹F + 54°

Which gives;

2•‹F + 54° = 90°

Therefore;

‹F = 18°

‹E = 72°

3. Let A represent the angle, we have;

A + A - 76° = 180°

A = 256°/2 = 128°

The measure of the angle is 128°

The measure of its supplement is 52°

4. ‹Q + ‹Q + 26 = 90

‹Q = (90-26)/2 = 32

‹Q = 32°

‹R = 32° + 26°= 58°

5. Let A represent the angle, we have;

A + 3•A = 180°

4•A = 180°

A = 180°/4

A = 45°

The measure of the supplement = 3 × 45° = 135°

6. Angle left = 90° - 35° = 55°

Speed= 35°/(21 s) = 5/3°/s

Time remaining for the bridge= 55°/(5/3°/s) = 33 s

7. 3•r + 5 + 5•r - 27 = 90

8•r - 22 = 90

r = 112/8 = 14

‹ABD = 3•r + 5 = 47°

‹DBC = 5•r - 27 = 43°

8. 4•a + 58 = 2•b - 18 = 90

a = 8

b = 54

9. a + 15 + a + 35 = 90

a = 40/2 = 20

10. 3•a + 10 + 13•a = 90

16•a = 80

a = 80/16 = 5

m‹ADB = 3•a + 10 = 25°

m‹BDC = 13•a = 65°

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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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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 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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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:

  x = -1

Step-by-step explanation:

You want to find the value(s) of x that satisfy the equation |x-2| = |4+x|.

The behavior of each absolute value function changes at the point where its argument is zero. For this equation, that will be two points:

  x -2 = 0   ⇒   x = 2

  x +4 = 0   ⇒   x = -4

These two points on the number line divide the domain of the equation into three parts:

The behavior of the equation will be different in those three domains.

In this domain, both absolute value functions negate their arguments. That means the equation is equivalent to ...

  -(x -2) = -(4 +x)

  2 = -4 . . . . . . . . . . add x to both sides

This has no solutions: there are no values of x that will make this true.

In this domain, the absolute value function on the left negates its argument, so the equation is equivalent to ...

  -(x -2) = (4 +x)

  -2 = 2x . . . . . . . . . add x-4 to both sides

  -1 = x . . . . . . . . . divide by 2

This value of x is in the domain, so represents a solution to the equation.

  x = -1

In this domain, neither absolute value function negates its argument, so the equation is equivalent to ...

  x -2 = 4 +x

  -2 = 4 . . . . . . . subtract x

This has no solutions: there are no values of x that will make this true.

The given equation has one solution: x = -1.

__

Additional comment

When solving an equation like this graphically, it is often useful to put it in the form f(x) = 0. We can obtain that form by defining ...

  f(x) = |x -2| -|4 +x|

The graph of this is attached. The only solution is where f(x) = 0, at x = -1.

Note that the function is parallel to the x-axis outside of the middle domain, so will not have any x-intercepts in those regions.

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:C=8

Step-by-step explanation:

32 divided by 4 = 8