Convert 42 inches to feet

Answer:

1.88 m

Step-by-step explanation:

74 ÷ 39.37 = 1.88m

1 meter = 39.37 inches

Answer:

x=3, y= -2

Step-by-step explanation:

3x + 9y = -9

x + y = 1

Multiply the second equation by -3

-3x-3y = -3

Add this to the first equation to get rid of the x's

3x + 9y = -9

-3x -3 y = -3

------------------------

     6y = -12

Divide by 6

6y/6 = -12/-6

y = -2

3x + 9y = -9

x + y = 1

Multiply the second equation by -9

-9x-9y = -9

Add this to the first equation to get rid of the y's

3x + 9y = -9

-9x -9 y = -9

------------------------

     -6x = -18

Divide by -6

-6x/-6 = -18/-6

x = 3

Answer:

Here

the given equations are:-

3x + 9y = -9

or,3(x +3y)= -9

or,x+ 3y = -3 ................. (1)

x + y = 1 ................... (2)

Now , subtracting equation (2) from (1) , we ger:-

x + 3y = -3

x + y = 1

- - -

__________

0 + 2y = -2

or, y = -1

putting value of y in equation (2) , we get:-

x +(-2) = 1

or, x - 2 = 1

or x = 3

HENCE,

x = 3 and y = -1 are the values of x and y .

Thank me later.

Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.

The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).

For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.

Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.

The majority of these costs are routine daily spending.

Costs that weren't directement necessary for those activities are referred to be non-operating expenses.

Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.

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Correct question:

A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.

The probability that exactly 6 workers take the bus to work is 0.001

The given parameters are:

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

\(P(x) = ^nC_x * p^x * (1 - p)^{n - x{\)

So, we have:

\(P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4\)

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

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Answer:

Why is base pairing essential to the process of transcription and translation

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

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:

The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

We know the sine function is:

y = Asin(w + c) + s

Here:

A is amplitude

w is angular velocity,

s is vertical Displacement,

c = phase angle

A = (2000000 - 1000000) /2 =  500,000

w = 2π/T  

T = 12

w = 2π/12 = π/6

s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000

500,000sin(π/6 + 0) + 1500000

500000sin(π/6)+1500000

or

0.5sin(πt/6) + 1.5

Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

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Answer:

  a) sides: 12 cm, 8 cm, 6 cm

  b) perimeter: √455 ≈ 21.331 cm²

  c) altitude: (√455)/6 ≈ 3.555 cm

Step-by-step explanation:

The perimeter is the sum of side lengths. Heron's formula can be used to find the area from the side lengths, and the area formula can be used to find the altitude.

The perimeter is given as 26 cm, and the side lengths are listed as 6x, 4x, and 3x. The perimeter is the sum of side lengths, so we have ...

  26 = 6x +4x +3x = 13x

  x = 26/13 = 2 . . . . . . . . . divide by the coefficient of x

Then the side lengths are

  6x = 6(2) = 12 . . . cm

  4x = 4(2) = 8 . . . cm

  3x = 3(2) = 6 . . . cm

The area can be found using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . where s is half the perimeter; a, b, c are sides

  A = √(13(13 -12)(13 -8)(13 -6)) = √(13(1)(5)(7)) = √455

The area of the triangle is √455 ≈ 21.331 square centimeters.

The formula for the area of a triangle is ...

  A = 1/2bh

where b is the length of one side, and h is the altitude to that side. We want the altitude to the longest side. Filling in the relevant values, we have ...

  √455 = 1/2(12)h

  h = (√455)/6 ≈ 3.555 . . . cm

The altitude to the longest side is (√455)/6 ≈ 3.555 centimeters.

Answer:

Square of 24: 24² = 576.

Step-by-step explanation:

The square root of 24 is a number which when doubled by itself, occurs in the product 24.

...

Hope this helps!

-kiniwih426

The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

The success rate for choosing your company out of 6 is 1/6

Therefore probability is 1/6 = 0.1667.

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Answer:

Step-by-step explanation:

n=7

The length of the major axis of the ellipse is 8 units. The major axis is the longest diameter of the ellipse, and it passes through the two foci located at (4,0) and (-4,0). By calculating the distance between the foci using the distance formula, we find that the distance is 8 units, which corresponds to the length of the major axis.

The length of the major axis of the ellipse is 8 units. The major axis is the longest diameter of the ellipse and passes through its two foci.

To find the length of the major axis, we need to determine the distance between the two foci. The distance between two points can be calculated using the distance formula:\(d = \sqrt((x2 - x1)^2 + (y2 - y1)^2).\)

In this case, the foci are located at (4,0) and (-4,0). Using the distance formula, we can calculate the distance between the foci:

\(d = \sqrt((-4 - 4)^2 + (0 - 0)^2) = \sqrt((-8)^2 + 0) = \sqrt64 = 8.\)

Therefore, the length of the major axis is 8 units.

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Answer: 945

Step-by-step explanation:

Number of people that voted western = 40%

Number of people that voted disco = 60%

The number of people that'll vote disco if all 1575 people voted will be:

= 60% of 1575

= 60/100 × 1575

= 0.6 × 1575

= 945

Answer:

50 rotations per second

Step-by-step explanation:

the unit rate is the number of rotations in 1 second

2000 ÷ 40 = 50

unit rate is 50 rotations per second

The error occurred in step 1

The justification for solving the equation -2(t + 3) + 4 = 12 + 6t is below;

2 |a + 1| = 5

Step 1:

2 |a + 1| = 5 or 2 |a + 1| = -5

2a + 2 = 5 or 2a + 2 = -5

combine like terms

2a = 5 - 2 or 2a = -5 - 2

2a = 3 or 2a = -7

divide both sides by 2

a = 3/2 or a = -7/2

2.

-2(t + 3) + 4 = 12 + 6t original equation

-2t - 6 + 4 = 12 + 6t Distributive property

-2t - 2 = 12 + 6t Addition property of equality

-2t - 2 - 6t = 12 + 6t - 6t Subtraction property of equality

-8t - 2 + 2 = 12 + 2 combine like terms

-8t / -8 = 14 / -8 Division property of equality

t = 14/-8 solution

t = 7/-4 simplified solution

Therefore, the equation -2(t + 3) + 4 = 12 + 6t has a simplified solution of t = 7/-4

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Answer:

A , C and D

Step-by-step explanation:

the score is dependent on the number of gold bars that she collects.

Answer:

x^2-x^2=BC4

oh yeaa u know im right

Given,Gross Domestic Product = P + I g + G + Xn In the given equation, the following are the meanings of the terms used: Gross Domestic Product (GDP) = P + Ig + G + Xn

where,P = Private consumption expenditure

Ig = Gross private domestic investment

G = Government consumption expenditures and gross investment

Xn = Net exports (exports − imports)

Hence, the given equation is a representation of the expenditure approach to calculate the Gross Domestic Product (GDP) of a country. Here's how we can calculate each term: P = Private consumption expenditure

Ig = Gross private domestic investment

G = Government consumption expenditures and gross investment

Xn = Net exports (exports − imports)

Let's assume the following values : P = 200

Ig = 150G

= 250

Xn = 50

Now we can substitute the given values in the given equation to calculate the GDP of the country. Gross Domestic Product (GDP) = P + Ig + G + Xn

Gross Domestic Product (GDP) = 200 + 150 + 250 + 50

Gross Domestic Product (GDP) = 650

Therefore, the GDP of the country is 650.

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Answer:

x = 15

Step-by-step explanation:

The given angles are same- side interior angles and are supplementary, thus

6x + 7 + 3x + 38 = 180, that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

Answer:

x = 15

Step-by-step explanation:

these two angles are actually supplementary, which means they add up to 180.

using this, you can make this equation:

3x + 38 + 6x + 7 = 180

combine like terms.

3x + 6x + 38 + 7 = 180

9x + 45 = 180

subtract 45 from both sides.

9x = 135

divide both sides by 9

x = 15

Answer:

2 units

Step-by-step explanation:

To find the difference between 10 and 12, we can use this equation:

Or:

Therefore, the difference is 2.

Answer:

20

Step-by-step explanation:

Answer:

The angle created between the ladder and tree is \(15.5^{0}\).

Step-by-step explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ = \(\frac{Opposite side}{Adjacent side}\)

         = \(\frac{5}{18}\)

         = 0.2777777777

⇒ θ = \(Tan^{-1}\) 0.2777777777

      = 15.5241

      = \(15.5^{0}\)

Therefore, the angle created between the ladder and tree is \(15.5^{0}\).

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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The domain of the given function is {x,y:y<-x²/2}. The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c. The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined.

Given function f(x,y) = ln(x² + 2y)

The domain of f(x, y) is the set of all values of x and y for which f(x, y) is defined. ln(x² + 2y) is defined only for x² + 2y > 0

Therefore, x² > -2y Or, y < -x²/2

Therefore, D = {(x, y) | y < -x²/2}

To find the range, let's solve for y

ln(x² + 2y) = k e^k = x² + 2y

2y = e^k - x² y = (e^k - x²)/2

Therefore, the range R = [0,∞)  

Let's find the level curves of the function f(x,y)

For any point (x, y) on the curve, f(x, y) = c where c is a constant. Thus, we have ln(x² + 2y) = cOr, x² + 2y = e^c

For c = 0, we have x² + 2y = 1, which is the level curve passing through the point (0, 1/2)

For c = 1, we have x² + 2y = e, which is the level curve passing through the point (0, (e-1)/2)

In general, x² + 2y = e^c is the level curve. Therefore, the domain of the given function is {x,y:y<-x²/2}.

The range of the given function is (0,∞). The level curve of the given function is x² + 2y = e^c.

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there are 33 pleasing ordered triples.

We are given a set {1, 2, 3, 4, 5, 6}. We need to count the number of pleasing ordered triples (a, b, c), where a < b < c, and a, b, c are elements of the set.

Condition (b) requires that both b and c be greater than a. Since a can take any value from 1 to 4, the number of possibilities for (a, b, c) is:

For a = 1, there are 4 choices for b (2, 3, 4, 5) and 5 choices for c (3, 4, 5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 4 × 4 - 1 = 15 pleasing triples with a = 1.

For a = 2, there are 3 choices for b (3, 4, 5) and 4 choices for c (4, 5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 3 × 4 - 1 = 11 pleasing triples with a = 2.

For a = 3, there are 2 choices for b (4, 5) and 3 choices for c (5, 6, 5). However, we must exclude the case where b = c = 5, since both b and c must be greater than a. Therefore, there are 2 × 3 - 1 = 5 pleasing triples with a = 3.

For a = 4, there is only 1 choice for b (5) and 2 choices for c (6, 5). Therefore, there is only 1 × 2 = 2 pleasing triples with a = 4.

The total number of pleasing ordered triples is:

15 + 11 + 5 + 2 = 33

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Answer:

(3,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

r = 1.5 in ,    V = 56.52 in³

V = π × r² × h

56.52 = π × (1.5)² × h

56.52 = π × 2.25 × h

\(h=\dfrac{56.25}{2.25\pi}=\dfrac{25}{\pi}\ in=7.9577...\ in\approx8\ in\)

Factor 5x^10−80x^2

5x^10−80x^2

=5x^2(x^4+4)(x^2+2)(x^2−2)

Answer:

5x^2(x^4+4)(x^2+2)(x^2−2)

5x^2(x^4+4)(x^2+2)(x^2−2)

Factor 5x^10−80x^2

5x^10−80x^2

=5x^2(x^4+4)(x^2+2)(x^2−2)

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1