If 10 men earns rs 180 in 18 days for 6 working hours a day. how much will 15 men earns in 24 days for 8 working hours a day?

Answer:

Theresa is 60 inches tall

Step-by-step explanation:

Let Theresa's height be t.

Let Paul's height be p.

Let Steve's height be s.

Paul says he is 16 inches shorter than 1 and a half times Theresa’s height. This means that:

p = 3/2 t - 16 = 3t/2 - 16 ________(1)

Steve says he is 6 inches shorter than 1 and one third times Theresa’s height. This means that:

s = 4/3 t - 6 = 4t/3 - 6 __________(2)

Since they are both right and they have the same height, we can equate (1) and (2):

3t/2 - 16 = 4t/3 - 6

Collect like terms:

3t/2 - 4t/3 = 16 - 6 = 10

t/6 = 10

=> t = 6 * 10 = 60 inches

Theresa is 60 inches tall.

Answer:

60 inches tall

Step-by-step explanation:

Answer:

\(g(f(2))=3\)

Step-by-step explanation:

So we have:

\(f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}\)

And we want to solve for g(f(2)).

First, find f(2):

\(f(2)=4(2)-3\)

Multiply:

\(f(2)=8-3\)

Subtract:

\(f(2)=5\)

Now, substitute this in for g(f(2)):

\(g(f(2))=g(5)\)

Substitute this in for g(x):

\(g(5)=\frac{2(5)-1}{3}\)

Multiply:

\(g(5)=\frac{10-1}{3}\)

Subtract:

\(g(5)=\frac{9}{3}\)

Divide:

\(g(5)=3\)

Therefore:

\(g(f(2))=3\)

Answer:

Step-by-step explanation:

14

Answer:

what are the ordered pairs?

Answer:

11 if you mean x^2

Step-by-step explanation:

Since we are solving for x, we need to just get x by its self. The only thing we have to do is get rid of the exponent of (^2). to do this, we have to take teh square root of both sides:

The square root of x^2 is x

The square root of 121 is 11

So the asnwer is x = 11

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 121, x must equal 11.

However, you must set the equation equal to 0 first.

So our first step is to subtract 121 from both sides to get x² - 121 = 0.

Next, factor the left side to get (x + 11)(x - 11) = 0

So either x + 11 = 0 or x - 11 = 0.

Solving each equation from here, we find that x = -11 or x = 11.

So our answer is not just 11, it's {11, -11}.

Composite functions are functions derived from combining other functions

The values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)

The single functions are given as:

\(f(x) =11 + 2x^2\)

\(g(x) = -7x - 3x^2 + 4\)

To calculate (f + g)(x), we make use of

\((f + g)(x) = f(x) + g(x)\)

So, we have:

\((f + g)(x) = 11 + 2x^2 - 7x - 3x^2 + 4\)

Collect the like terms

\((f + g)(x) = 2x^2- 3x^2 - 7x + 4+11\)

Evaluate

\((f + g)(x) = - x^2 - 7x + 15\)

Substitute 2 for x

\((f + g)(2) = - 2^2 - 7(2) + 15\)

\((f + g)(2) = -3\)

To calculate (f - g)(x), we make use of

\((f + g)(x) = f(x) - g(x)\)

So, we have:

\((f - g)(x) = 11 + 2x^2 + 7x + 3x^2 - 4\)

Collect the like terms

\((f - g)(x) = 2x^2 + 3x^2+ 7x - 4 + 11\)

Evaluate

\((f - g)(x) = 5x^2+ 7x +7\)

Substitute 2 for x

\((f - g)(2) = 5 * 2^2+ 7* 2 +7\)

\((f - g)(2) = 41\)

Hence, the values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)

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The value of f(x) - g(x) and f(x) + g(x) are 52 and 0

Given the following function expressed as:

f(x) = 11x + 2x^2 and;

g (x) = -7x - 3x^2 + 4

Taking the sum of the function

f(x) + g(x) = 11x + 2x^2  -7x - 3x^2 + 4

f(x) + g(x) = -x^2 + 4x + 4

If x = 2,

f(x) + g(x) = -4 + 8 + 4

f(x) + g(x)  = 0

For the difference;

f(x) - g(x) = 11x + 2x^2 + 7x + 3x^2 - 4

f(x) - g(x) = 5x^2 + 18x - 4

If x = 2,

f(x) - g(x) = 5(4) + 36 - 4

f(x) - g(x)  = 52

Hence the value of f(x) - g(x) and f(x) + g(x) are 52 and 0

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Answer:

-2 is the answer

Step-by-step explanation:

In the down question i.e (5t+2)° answer is one as anything to the power zero is one so we have fond the value of 5 is one t is one and 2 is also one

By putting the value of t

we have ,

(2t-4)

=(2x1-4)

=2-4

= -2

Answer:

\(the \: answer \: is \: c \: \\ {x}^{ \frac{10}{3} } = \sqrt[3]{ {x}^{10} } = {x}^{3} \sqrt[3]{x} \\ {x}^{3 } \times {x}^{ \frac{1}{3} } = {x}^{3 + \frac{1}{3} } = {x}^{ \frac{10}{3} } \)

Answer:

12,000

Step-by-step explanation:

You can simply do this in your head by multiplying 3 x 4.

Answer:

<C = 54 degrees

b = 123.6

a = 72.6

Step-by-step explanation:

<C = 180 - 90 - 36 = 54 degrees

b = 100/sin54 = 123.6

a = sqrt (123.6^2 - 100^2) = 72.6

Answer:

3,4.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

The function is:

\(g(x) = \frac{x^2+4x-5}{x^2-7x+12}\)

In a fraction, the values not in domain are the values for which the denominator is 0.

Find all values of that are NOT in the domain of g.

It will not be in domain if the denominator is 0. So

\(x^2 - 7x + 12 = 0\)

That is, a quadratic equation with \(a = 1, b = -7, c = 12\)

\(\Delta = (-7)^{2} - 4(1)(12) = 49 - 48 = 1\)

\(x_{1} = \frac{-(-7) + \sqrt{1}}{2(1)} = 4\)

\(x_{2} = \frac{-(7) - \sqrt{1}}{2(1)} = 3\)

The values are 3 and 4, so the answer is 3,4.

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

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Answer:

The entire area of the sailboat is 60cm²

Step-by-step explanation:

You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.

In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.

Because the two triangles can be put together to form a single triangle, we don't need to measure them independently.  We can simply take the total length of their bases, multiply it by their height, and divide by two.  This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.

(2cm + 3cm) × 6cm

= 5cm × 6cm

= 30cm²

The rectangle's area is of course equal to its width times its height, so we can say:

2.5cm × 12cm

= 30cm²

The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²

The first table is a quadratic function, while the second table is an exponential function

Table 1

On this table, we can see that:

As x increases by 1, the value of y do not change constantly

This means that the table is a non-linear function

The y values on the table are

-5   -4    -1   4   11

Calculate the first difference

So, we have

-5   -4    -1     4    11

   1      3     5     7

Calculate the second difference

So, we have

-5   -4    -1     4    11

   1      3     5     7

       2     2     2

Since the second differences are equal, then the table is a quadratic table

Table 2

On this table, we can see that:

As x increases by 1, the value of y do not change constantly

This means that the table is a non-linear function

However, we can see that the y values have a common rate of 2

This means that the table is an exponential table

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

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

LEFT  |   0.8   |   0.2   |

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

RIGHT |   0.1   |   0.9   |

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

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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The total surface area of the resulting solid is \(6+96=\boxed{102}\) square inches.

The resulting solid after the described procedure consists of a central cube of side length 1 inch and 6 congruent smaller cubes, each of side length 2 inches. We can find the surface area of the resulting solid by adding up the surface area of each of these cubes.

The surface area of the central cube is simply \(6(1^2)=6\) square inches.

The surface area of each of the smaller cubes is \(6(2^2)=24\) square inches, but since each cube shares one face with the central cube and another face with its neighboring cube, we only count four of its faces, so the contribution of each smaller cube to the surface area of the resulting solid is 4(24/6)=16 square inches.

Since there are 6 smaller cubes in total, their contribution to the surface area of the resulting solid is \(6\times16=96\)square inches.

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Equations are expressions with equal values

The equation that links x and y is \(7x = 9y\)

The ratio is given as:

\(x : y = 9 : 7\)

Express the ratio, as a fraction

\(\frac xy = \frac 97\)

Cross multiply

\(7 *x = 9 * y\)

Evaluate the product

\(7x = 9y\)

Hence, the equation that links x and y is \(7x = 9y\)

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Answer:

What is it i can probably help

Step-by-step explanation:

\(since \to : x \sqrt[y]{ {n}^{z} } = x( {n}^{ \frac{z}{y} } ) \\ then \: lets \: solve \: both \: values \: separately \to : \\ \underline{ \boxed{solution \: to \: \boxed{a}}} \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} (40 \sqrt[6]{n} ) \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} \times 40 \sqrt[6]{n} \\ 120 \sqrt[3]{ {n}^{a} } = 120 (\sqrt{n} \times \sqrt[6]{n} ) \\ \sqrt[3]{ {n}^{a} } = (\sqrt{n} \times \sqrt[6]{n} ) \\ {n}^{ \frac{a}{3} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{6} } \\ \frac{a}{3} = \frac{1}{2} + \frac{1}{6} \\ \frac{a}{3} = \frac{4}{6} \\ 6a = 12 \\ a = \frac{12}{6} = 2 \\ \underline{ \boxed{a = 2 \:}} \\ \\ \: \underline{ \boxed{solution \: to \: \boxed{b}}} \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} (9 \sqrt[4]{n} ) \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} \times 9 \sqrt[4]{n} \\ 27 \sqrt[4]{ {n}^{b} } = 27 (\sqrt{n} \times \sqrt[4]{n} ) \\ \sqrt[4]{ {n}^{b} } = (\sqrt{n} \times \sqrt[4]{n} ) \\ {n}^{ \frac{b}{4} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{4} } \\ \frac{b}{4} = \frac{1}{2} + \frac{1}{4} \\ \frac{b}{4} = \frac{3}{4} \\ 4b = 12 \\ b = \frac{12}{4} = 3 \\ \underline{ \boxed{b = 3 \:}} \\ hence \to : \\ \underline{ \underline{\boxed{a = 2 \:}} \underline{ \boxed{b = 3 \:}}}\)

Answer:

p ≥ 13

13 pizzas at least

Step-by-step explanation:

$107 + $4 = $111

$111/$9 = 12.3333 round it to 13

now we know he needs to sell at least 13 pizzas so the inequality p= 13 or p > 13.

This is my go at it, I am not sure though.

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

Step-by-step explanation:

f(x) = y = 64x³ - 1

y + 1 = 64x³

(y + 1)/64 = x³

\(x = \sqrt[3]{(y + 1) \div 64} \)

\(x = \sqrt[3]{y + 1} \div 4\)

that is the actual inverse function to calculate the original x value for a given y value of the original function.

but to make it a "normal" function, we need to rename the variables (x to y, y to x) :

\(y = \sqrt[3]{x + 1} \div 4\)

this is now f^-1(x)

but careful, don't get confused, if dealing together with the original function, this "x" is actually standing for the "y" of the original function ...

Answer:

The given three sides can not form a triangle.

Step-by-step explanation:

Given three sides:

Length of first side = 7.7 cm

Length of second side = 4.0 cm

Length of third side = 1.7 cm

To find:

Whether these three sides can possibly be the three sides of a triangle ?

Solution:

Here, we can use the property of sides of a triangle:

The sum of the lengths of any two sides must be greater than the length of third side.

Now, let us try to verify this property.

Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm

Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm

Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm

Therefore, the property does not hold true.

It can be concluded that, the given three sides can not form a triangle.

Answer:

isyllus is correct

they can not from a triangle

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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a) An angle of 110 degrees measure in radians is 110 * π/180.π = 2.094 radians (approximately).Therefore, 110° = 2.094 radians approximately.b) The formula that expresses the radian angle measure of an angle, in terms of the degree measure of that angle, d is given below:Degree Measure of an Angle, d = Radian Measure of an Angle, θ × 180/πWhere d is the degree measure of an angle and θ is the radian measure of an angle.

π radians = 180°Therefore, to convert radians to degrees, we use the formula:Degree Measure of an Angle, d = Radian Measure of an Angle, θ × 180/πWhere d is the degree measure of an angle and θ is the radian measure of an angle.6) The formula that expresses the degree angle measure of an angle, d, in terms of the radian measure of that angle is given below:Radian Measure of an Angle, θ = Degree Measure of an Angle, d × π/180Where d is the degree measure of an angle and θ is the radian measure of an angle.

π radians = 180°Therefore, to convert degrees to radians, we use the formula:Radian Measure of an Angle, θ = Degree Measure of an Angle, d × π/180Where d is the degree measure of an angle and θ is the radian measure of an angle.

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The required invertible matrix P is: P = (1066552) [ 1.

The matrix power calculation is done by multiplying the matrix by itself. To compute the indicated power of the matrix, you can multiply the matrix by itself as many times as indicated by the power exponent. If there is a 0 power, then the answer is an identity matrix. If there is a negative power, then the answer is the inverse matrix.Let's solve the given problem:li 1 0 5. Compute the indicated power of the matrix. 6. Show that A and B are similar by showing that they are similar to the same diagonal matrix. Then find an invertible matrix P such that P-TAP = B. A = 18 -).B =[ 1Step 1: To compute the indicated power of the matrix, multiply the matrix by itself as many times as indicated by the power exponent.P = A² = (18 -1) × (18 -1) = 324 - 36 = 288P = A³ = A × A² = (18 -1) × 288 = 5184 - 648 - 576 = 3960P = A^4 = A × A³ = (18 -1) × 3960 = 71280 - 7128 - 1296 = 62856P = A⁵ = A⁴ × AP = 62856 × (18 -1) = 1129408 - 62856 = 1066552The answer is P = (1066552) [ 1Step 2: To show that A and B are similar by showing that they are similar to the same diagonal matrix, we can use the eigendecomposition of A.A = VDV-1Where D is the diagonal matrix of eigenvalues and V is the matrix of eigenvectors.Then, to prove A and B are similar to the same diagonal matrix, we need to find the eigendecomposition of B and compare D. However, B is already diagonal, so it is similar to itself. Therefore, A and B are both similar to the same diagonal matrix and hence they are similar to each other.Step 3: To find an invertible matrix P such that P-TAP = B, we can use the formula:P = VTV-1P-TAP = (VT)(VT)-1AVT = (VT)(AVT)-1 = (VT)(VDV-1)VT = VDTherefore,P = VDVT-1Then,P-TAP = (VT)-1AVTDVVT-1 = (VT)-1BVT= V-1BVP = VVT-1BP = V-1BV= P-1BP = [ 1

Hence, the required invertible matrix P is: P = (1066552) [ 1.

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