A square has a side of length 2x cm. In terms of x, what is its...
a) perimeter?
b) area?

The decimal that shows 0.06 as an equivalent number of thousands is 0.060

The number is given as

0.06

To determine the equivalent number of the decimal in thousands, we simply add more zeros after the last significant digits

So, we have

Number = 0.0600000

Reduce the zeros till the thousandth place value

So, we have

Number = 0.060

Hence, the decimal that shows 0.06 as an equivalent number of thousands is 0.060

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Answer:

51.92

Step-by-step explanation:

135/260 = .51923076923  x 100 to get the percentage

51.923076923 and round

Answer:

d is the answer to your question

Answer: The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4  

Step-by-step explanation:

Given data,

The quotient and the remainder when x + 5x + 2 is divided by x + 1

Let, f(x) = x + 5x + 2

      g(x) = x+1

we can write,

   g(x) = x+1 = 0

   g(x) = x = -1

so,        f(x) = x + 5x + 2

we can substitute x = -1 value

             f(x) = x + 5x + 2

             f(-1) = (-1) + 5(-1) + 2

             f(-1) = (-1) - 5 + 2

              f(-1) = (-1) - 3

              f(-1) = -4

Therefore,

The quotient is when x+ 5x + 2 = 6

The reminder is when x+ 5x + 2 = -4        

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Answer:

2:46 p.m.

Step-by-step explanation:

Answer:

2:46 p.m.

Step-by-step explanation:

Start time: 10:11 a.m.

movie end time: 10:11 a.m. + 2hrs 30 min = 12:41 p.m.

soccer end time: 12:41 p.m. + 2hrs 5 min = 2:46 p.m.

The approximate number for people living in City B is 2612500 people

The given parameters are

City A = about 1,045,000, people

City B = 2.5 times that number of people living in City B

Substitute City A = about 1,045,000, people in City B = 2.5 times that number of people living in City B

So, we have

City B = 2.5 times 1,045,000, people

Rewrite as

City B = 2.5 * 1,045,000, people

Evaluate the product

So, we have

City B = 2612500 people

Hence, the approximate number for people living in City B is 2612500 people

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The explanation that could be used to verify whether the functions are inverses is; The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

If we assume that (a, b) is a point that lies on both the graph y = f(x) and the graph y = f⁻¹(x), then from the second condition, it follows that the point (b, a) lies on the graph of f.

So, we’re looking for a function whose graph includes two points (a, b) and (b, a) and we want a ≠ b. An example is;

f(x) = -1/x³

So that the inverse function is f⁻¹(x) = 1/x^(1/3)

Thus, applying that concept to this question and we can conclude that the point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

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Answer: 5

Step-by-step explanation:

2(x-3)=4

2x-6=4

Add 6to each side

2x=10

Divide each side by 2

X=5

Does this help?

Answer:.05*1493.47 = $74.67 also

Step-by-step explanation:

Answer:

y = -5x + 10

Step-by-step explanation:

Answer:

-5x + 10

Step-by-step explanation:

If a line 2 is perpendicular to line 1 and line 1 has slope m, then line 2 must have slope = [tex]\sf -\dfrac{1}{m}[/tex] which is the negative of the reciprocal of m

Essentially the product of the two slopes = -1

The line
[tex]y = \dfrac{1}{5}x - 19[/tex]
has slope of  [tex]\dfrac{1}{5}[/tex] so the slope of line h which is perpendicular to this line must have slope = negative of reciprocal of [tex]\dfrac{1}{5}[/tex]

Reciprocal of [tex]\dfrac{1}{5}[/tex] is 5
Negative of reciprocal is thus -5

Equation of h is of the form
y = -5x + b where b is the y intercept, the value of y at x = 0

Since line h passes through (3, 0) we plug in these values for x and y and solve for b
0 = -5(3) + b

0 = -15 + b
15 = b                  (Adding 15 on both sides)
b = 15

Equation of line h is y = -5x + 15

Line g is parallel to line h. Parallel lines have the same slope so the equation for line g is
y = -5x + b                     (since slope of g = slope of h = -5)

Since this line passes through x = -1, y = 15 we can solve for b as before by plugging these values into the equation

15 = -5(-1) + b
15 = 5 + b
10 = b         (Subtracting 5 on both sides)
b = 10

So equation of line g = -5x + 10

The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6

percent, and total asset turnover is constant at 1.16.

To calculate the ROE we would have to use the following formula:

ROE=Profit margin x Total asset turnover x Equity multiplier

ROE=0.046 x 1.16 x (1 +0.5)

ROE=0.08004

Therefore, dividend payout ratio would be calculated as follows:

0.14 = (0.08004 x dividend payout ratio) / [ 1 - (0.08004 x dividend payout ratio))

0.14 = 0.08004 x dividend payout ratio / (1 - 0.08004 dividend payout ratio)

0.14 - 0.0112056 dividend payout ratio = 0.08004 dividend payout ratio

0.14 = 0.0912456 dividend payout ratio

dividend payout ratio=1.53432

Therefore, dividend payout ratio=1-1.53432

dividend payout ratio=-53.43%

The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6

percent, and total asset turnover is constant at 1.16.

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The average of the numbers expressed as a mixed number is  2⁴⁶⁷/₁₁₄₀

The average of a given set of numbers is given by X = ∑x/N where

Since we are given the numbers

So,the average is X = ∑x/N

= (x₁ + x₂ + x₃)/N

= (4²/₅ + ³/₃₈ + 2³/₄)/3

= (22/5 + 3/38 + 11/4)/3

Taking the L.C.M of the numbers in the bracket. So, the L.C.M of the nunbers in the bracket is 380. So, simplifying, we have

= (1672 + 30 + 1045)/380 ÷ 3

= 2747/(380 × 3)

= 2747/1140

= 2⁴⁶⁷/₁₁₄₀

So, the average of the numbers expressed as a mixed number is  2⁴⁶⁷/₁₁₄₀

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Answer:

2(46+w) + 2(w)

Step-by-step explanation:

The equation of a line that contains the points (-7, 6) and (3, 8) is  [tex]y=\frac{1}{5} x+\frac{37}{5}$$[/tex]

Find the line [tex]$y=m x+b$[/tex]passing through [tex]$(-7,6),(3,8)$[/tex]

Compute the slope [tex]$(-7,6),(3,8): \quad m=\frac{1}{5}$[/tex]

Compute the [tex]$y$[/tex] intercept: [tex]$\quad b=\frac{37}{5}$[/tex]

Construct the line equation [tex]$\mathrm{y}=\mathrm{mx}+\mathrm{b}$[/tex]where [tex]\mathrm{m}=\frac{1}{5}$ and $\mathrm{b}=\frac{37}{5}$[/tex]

[tex]y=\frac{1}{5} x+\frac{37}{5}$$[/tex]

The Slope intercept form is a system for determining a straight line's equation. The equation of a straight line is the relationship that

The slope- intercept form of a straight line is used to find a line's equation. The pitch of the line and the intercept cut by the line with the y- axis are needed for the pitch- intercept formula. Consider a straight line with pitch' m' and y- intercept For a straight line with a pitch, 'm,' and' b' as the y- intercept, the pitch intercept form equation is y = mx b. Then are some cases of pitch intercept forms.

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The amount of refrierant the tubing can hold is 0.037 cubic feet..

A cylinder is a three-dimensional object that is made up of a prism with a circular base. In order to determine how much refrigerant that cylindrical coil can hold, the volume of the cylinder has to be determined.

First, the dimension of the inside diameter has to be changed to feet

1 inch = 1/12 feet

3/4 x 1/12 = 1/16 feet

Volume of a cylinder = πr²h

Where:

Volume = 22/7 x (1/32)² x 12 = 0.037 cubic feet.

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The measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

ZRQT is a straight angle

The sum of the angle RQS and angle TSQ will be 180 degrees

9x + 1 + 7x + 3 = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

RQS(9x+1)° = 9x11 + 1 = 100

TQS(7x+3)° = 7x11 + 3 = 80

Thus, the measure of the angle RQS is 100 degrees, and the measure of the angle TQS is 80 degrees.

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The value of C3, when B2 is changed from 7 to 9 is 18.

Given that, B2 is changed from 7 to 9.

The formula is a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign. When you know the value of one quantity, you can find the value of the other using the formula.

The given formula = B2 × 2

When B2 is 7, the value of C3 is 14

When B2 is changed from 7 to 9, the value of C3 is B2 × 2 = 9 × 2

=18

Therefore, the value of C3, when B2 is changed from 7 to 9 is 18.

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Answer:

[tex]5x - 20[/tex]

Step-by-step explanation:

Product means the result of the multiplication of two numbers. A part of our expression will include the product of five and a number. We don't know what number it is, therefore, we'll call it [tex]x[/tex]. The product of those two numbers can be algebraically expressed as [tex]5x[/tex] (we usually eliminate the multiplication sign between numbers and variables).

We are then asked to express the number that is 20 less than the product we found earlier. To find this expression, we should subtract 20 from the product, giving us [tex]5x - 20[/tex].

If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06times

The probability of flipping heads onetime= 1/2

Hence,

Probability of flipping heads 8  times in a row is:

Probability= (1/2)^8

Probability=0.00390625

Now let determine the expected times

Number of times=0.00390625×10,000

Number of times=39.06 times

Therefore If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06 times

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Answer:

B

Step-by-step explanation:

we need to look at the y-intercept (the y value when x=0).

we need equating with +2 and +4 at the end.

that eliminates A and C, leaving B and D as potential right answer.

but then we see that the y-intercept "+2" must be in an equation for x <= 0, because that line with +2 intercept only covers negative x.

so, B is correct.

Mia's total accounts receiving is $1,50,000.

Given :

receivables dues paid by customers = $90,000

Let Mia's total accounts receiving be $ x.

According to the question,

⇒ 60% of x = 90,000

⇒ [tex]\frac{60}{100} x[/tex] = 90,000

⇒ x = (90,000×100) /60

       = 1,50,000

Therefore, Mia's total accounts receiving is $1,50,000.

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The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

A polynomial can be written as a product of a constant named lead coefficient and binomials of the form x - r, where r is the root of the polynomial. A root is a value of x such that the polynomial is equal to zero and the lead coefficient can be determined by using the y-intercept of the graph, then:

f(x) = a · (x + 2) · (x + 1) · (x - 2) · (x - 4)

Where a is the lead coefficient.

If we know that f(0) = 3, then the value of the lead coefficient is:

3 = a · (0 + 2) · (0 + 1) · (0 - 2) · (0 - 4)

3 = 16 · a

a = 3 / 16

The expression in factored form for the polynomial of the least possible degree is f(x) = (3 / 16) · (x + 2) · (x + 1) · (x - 2) · (x - 4).

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2 is the input value, while 6 is the result.

We know the rule is Multiply the input by 6 to get the output.

= (2*5)-4

=10-4

=6.

A function rule is the equation-based relationship between dependent and independent variables. How to calculate the value of the dependent variable, say y, in terms of the independent variable, say x, is explained by the function rule of a particular function. A function table includes a function rule as well as input and output values. If we plug in various values for the input, we obtain corresponding values of output according to the function rule. The relationship between the input values x and the output values y always follows a pattern that is specified by the function rule.

Hence, the input and output value of a table is 2 and 6.

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A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

Where:

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

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We get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

We are given an inequality:

2 x + 6 < 4

We need to find the solution for the inequality.

2 x + 6 < 4

Subtract 6 from both the sides, we get that:

2 x + 6 - 6 < 4 - 6

2 x < - 2

Divide both the sides by 2, we get that:

2 x / 2 < - 2 / 2

x < - 1

x ∈ ( - ∞ , - 1 )

Therefore, we get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).

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Answer:

2. 4f+s, 3. 3c+10, 4. b-3, 5. f < 2t, 6. 3p + b, 7. 5w + 2, 8. c + 2w + f < 100

Answer:

11.1

Step-by-step explanation:

This is a question involving ratios and proportions

The ratio of man's height to his shadow length = 6.5/4.7

The ratio of flagpole height to its shadow must be in the same ratio

If h is the height of the flagpole then h/8 is the ration of height to shadow length

Therefore,

[tex]\dfrac{6.5}{4.7} = \dfrac{h}{8}\\\\\mathrm{Multiplying \;both\;sides\;by\;8\;}\\\\\dfrac{6.5 \times 8 }{4.7} = h \\\\Or,\\h = \dfrac{6.5 \times 8 }{4.7} \\\\Which\;simplifies\;to:\\\\h = 11.0638\\\\h = 11.1 \;rounded\;to\;the\;nearest\;tenth\;of\;a\;foot[/tex]

The information about the triangle will be:

Length of the shorter leg: = 5cm

Length of the longer leg: = 12cm

Length of the hypotenuse: = 13cm

It should be noted that the formula for illustrating the information is:

c² = a² + b²

where c = hypothenuse

The shorter leg = x

Longer leg = x + 7

Hypothenuse = 13

Therefore, c² = a² + b²

13² = x² + (x + 7)²

169 = x² + x² + 14x + 49

169 = 2x² + 14x + 49

169 - 2x² - 14x - 49 = 0

-2x² - 14x + 120 = 0

Multiply through by minus

2x² + 14x - 120 = 0

Divide through by 2

x² - 7x - 60

x² - 12x + 5x - 60

x(x - 12) + 5(x - 12)

Therefore, the smaller length is 5cm and the bigger Length is 12cm

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Answer:

30 petunias

Step-by-step explanation:

p=petunias

0.25p +12 = 0.15p + 15

-0.15p          -0.15 p                 Subtract 0.25 with 0.15

0.10p + 12 = 15

           -12    -12                       Subtract 15 with 12

0.10p = 3                                 Divide 0.10p with 3

p=30