How does an expression differ from an equation?

In a periodic review system when an order is placed  every 14 days, the uncertainty period is 22 days.

Lead time is the time that passes from the start to the conclusion.  It helps in measuring the time taken to complete a project. It varies from industry to industry.

It is normally calculated as:

Lead time = processing time + post-processing time.

Given,

lead time = 8 days

Order place date = 14 days

uncertainty period  = order date + lead time

uncertainty period = 14 + 8 = 22 days

So, we can say that in a periodic review system when an order is placed  every 14 days, the uncertainty period will be 22 days.

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Answer: 0

Step-by-step explanation: Here is an example:

Cookie Monster has 0 cookies you are trying to split the 0 cookies among zero friends. How many cookies do the 0 friends get? See it just doesn’t make sense. And Cookie Monster is sad because he has no cookies and you are sad because you have no friends. (Answer by SIRI, if you ask her, this will be her response! >:( Don’t worry, you have friends! :3!)

Results would you expected to see at testing is one group of participants who is told to try to understand the structure of the geometry problem to solve it will be able to get good marks in the test.

One group of participants is who told to try to understand the structure of the problem will be able solve the problem by analyzing and geometry problem.

The other group who is asked to try to memorize the problem may not be able to solve the test because they will not be able to understand the  problem as the question will be different and will not get good marks in the test.

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Step-by-step explanation:

\(

\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312

\)

Hope it will help :)❤

Answer:

√{312×312}=√312²=±312 is your answer

cos(4x + π/5) - sin(2x) = 0

Since cos(x + π/2) = -sin(x), we can write

cos(4x + π/5) = cos(4x + π/2 - 3π/10) = -sin(4x - 3π/10)

Then we can absorb the negative signs into either sin expression, using the fact that sin(-x) = -sin(x):

-sin(4x - 3π/10) - sin(2x) = 0

sin(3π/10 - 4x) + sin(-2x) = 0

Recall that

• sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

• sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

==>   • 2 sin(a) cos(b) = sin(a + b) + sin(a - b)

We can further condense the left side in our equation if there exists a solution to

{ 3π/10 - 4x = a + b

{ -2x = a - b

We have

(a + b) + (a - b) = (3π/10 - 4x) + (-2x)

==>   2a = 3π/10 - 6x

==>   a = 3π/20 - 3x

(a + b) - (a - b) = (3π/10 - 4x) - (-2x)

==>   2b = 3π/10 - 2x

==>   b = 3π/20 - x

So in our equation, we have

sin(3π/10 - 4x) + sin(-2x) = 0

2 sin(3π/20 - 3x) cos(3π/20 - x) = 0

sin(3π/20 - 3x) cos(3π/20 - x) = 0

Solve for x :

sin(3π/20 - 3x) = 0   or   cos(3π/20 - x) = 0

[3π/20 - 3x = arcsin(0) + nπ   or   3π/20 - 3x = π - arcsin(0) + nπ]

  or   [3π/20 - x = arccos(0) + nπ   or   3π/20 - x = -arccos(0) + nπ]

[3π/20 - 3x = nπ   or   3π/20 - 3x = π + nπ]

  or   [3π/20 - x = π/2 + nπ   or   3π/20 - x = -π/2 + nπ]

[3x = 3π/20 - nπ   or   3x = -17π/20 - nπ]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

[x = π/20 - nπ/3   or   x = -17π/60 - nπ/3]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

(where n is any integer)

Answer:

if it works like the dollar 53p

Answer:

53p

Step-by-step explanation:

£1 = 100p

=> Change = 100p - 47p = 53p

The estimated standard error is approximately 0.101. The correct option is B

The following formula can be used to determine the estimated standard error (SE):

Sample error (SE) is equal to the square root of the sample size.

In this case, the sample standard deviation is given as 2.26, and the sample size is N = 504.

SE = 2.26 / √504

Calculating the square root of 504:

√504 ≈ 22.45

SE = 2.26 / 22.45

Dividing 2.26 by 22.45:

SE ≈ 0.1008

Rounded to three decimal places, the estimated standard error is approximately 0.101.

Therefore, the correct answer is b) 0.101.

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There will be 6.11 acres in a piece of property measuring 620' x 430'

To calculate the number of acres in a piece of property, you need to convert the measurements from feet to acres.

1 acre is equal to 43,560 square feet.

Given that the property measures 620' x 430', you can calculate the area in square feet by multiplying the length by the width: 620' x 430' = 266,600 square feet.

To convert the area from square feet to acres, divide the square footage by 43,560: 266,600 square feet / 43,560 = 6.11 acres (rounded to two decimal places).

Therefore, the piece of property measures approximately 6.11 acres.

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The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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The complex vector space of polynomials is a vector space over complex number fields and is composed of complex-valued functions of a complex variable.

A vector represents a mathematical entity with both magnitude and direction. When the vector elements are generally complex numerals, then the column space is referred to as complex. The set of polynomials in such a vector space generates the space over the domain of complex numbers by combining extra polynomials that are each specified portion and by multiplying each coefficient by the scalar.

In this vector space, the polynomials are vectors whereas the complex numerals are scalars. These requirements for the space are in addition also catered by this space, like the associativity and commutativity of vector addition, the presence of additive inverses, the distributivity of scalar multiplication over vector addition, and the existence of a neutral element with respect to vector addition.

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Hi there!

\(\large\boxed{x = 2.5}\)

We can solve for x by using an elimination of variables.

2x + 5y = 20

-2x + 10y = 25

Add the two equations to eliminate x:

0x + 15y = 45

15y = 45

y = 3

Substitute this value of y into an equation to solve for x:

2x + 5(3) = 20

2x + 15 = 20

2x = 5

x = 2.5

Answer:

I believe it is (5/2,3)

Step-by-step explanation:

Hope this works for u :)

Answer:

100in

Step-by-step explanation:

1/2 *10*5=25

4(25)=100

The general indefinite integral of 6 \(\sqrt{(x^7)}\ is\ 4/15(x^15/2) + C\). By making the substitution u = x^3 + 39, the integral of \(x^2\sqrt{(x^3 + 39)}\) dx becomes 1/9\((u^{2/3})\) + C.

To find the general indefinite integral of 6\(\sqrt{(x^7)}\), we can use the power rule for integration, which states that ∫\(x^n\) dx = \((1/(n+1))x^{n+1} + C\), where C is the constant of integration. Applying this rule, we have ∫6\(\sqrt{(x^7)}\) dx = 6∫\((x^7)^{1/2}\) dx = 6 * (2/9)\((x^{7/2})\) + C = 4/15\((x^{15/2})\) + C.

Now, let's evaluate the integral ∫x^2√(x^3 + 39) dx by making the substitution u = \(x^3\) + 39. Taking the derivative of u with respect to x gives du/dx = \(3x^2\). Rearranging this equation, we have dx = (1/3x^2) du. Substituting this back into the integral, we get ∫\(x^2\sqrt{(x^3 + 39)}\) dx = ∫\((x^2)(u^{1/2}) * (1/3x^2)\) du = (1/3)∫\(u^{1/2}\) du.

Integrating u^(1/2) with respect to u using the power rule, we have (1/3) * \((2/3)(u^{3/2}) + C = 2/9(u^{2/3}) + C\). Substituting back u = x^3 + 39, the final result is \(2/9(x^3 + 39)^{2/3} + C\).

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Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

The length of midsegment of the trapizoid with bases 35 and 71 is 53.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.

A trapezoid differs from other quadrilaterals in that it has the following characteristics:

The length of midsegment is sum of bases divided by 2

therefore midsegment = (35 + 71)/2 = 53.

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=======================================================

Work Shown:

P(A) = 0.5

P(C given A) = 0.4 ... follow the uppermost branches.

P(A and C) = P(A)*P(C given A)

P(A and C) = 0.5*0.4

P(A and C) = 0.20

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

P(B) = 0.5

P(C given B) = 0.3 ... go from B to C

P(B and C) = P(B)*P(C given B)

P(B and C) = 0.5*0.3

P(B and C) = 0.15

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

There are two ways to get to C.

The first option will have us compute P(A and C). The second option will have us compute P(B and C). Both options are mutually exclusive (you can only pick one path), so that means we can add up the probabilities we found earlier

Therefore we can say....

getting to C = (take path A to C) OR (take path B to C)

P(C) = P(A and C) + P(B and C)

P(C) = 0.20 + 0.15

P(C) = 0.35

Step-by-step explanation:

the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.

it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.

because I prefer to go from left to right, let's go from

(-3, -4) to (5, 12).

x changes by +8 (from -3 to 5).

y changes by +16 (from -4 to 12).

so, the slope is

+16/+8 = 2/1 = 2

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

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This shows that a reasonable domain for this function is x > -5/6

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

f(x) = 12x + 10

Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;

12x + 10 > 0

12x > -10
x > -10/12
x > -5/6

This shows that a reasonable domain for this function is x > -5/6

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To find the surface area that minimizes weight for an open-top storage bin in the shape of a rectangular prism with a square base, we need to use calculus to find the minimum value of the surface area function.

First, let's find the surface area function. The surface area of a rectangular prism with a square base is given by the formula SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Since the base is a square, we know that l = w, so we can simplify the formula to SA = 2l^2 + 2lh + 2lh = 2l^2 + 4lh.

Next, we need to find the volume function. The volume of a rectangular prism with a square base is given by the formula V = lwh. Since we know that V = 3500 cm^3 and l = w, we can substitute and solve for h:

3500 = l^2h

h = 3500/l^2

Now we can substitute this value of h back into the surface area function:

SA = 2l^2 + 4l(3500/l^2)

SA = 2l^2 + 14000/l

To find the minimum value of the surface area function, we need to take the derivative and set it equal to zero:

dSA/dl = 4l - 14000/l^2 = 0

Multiplying both sides by l^2 gives us:

4l^3 - 14000 = 0

Dividing both sides by 4 gives us:

l^3 = 3500

Taking the cube root of both sides gives us:

l = 15.18 cm

Now we can substitute this value of l back into the volume function to find the value of h:

h = 3500/15.18^2 = 15.18 cm

Finally, we can substitute these values of l and h back into the surface area function to find the minimum surface area:

SA = 2(15.18)^2 + 4(15.18)(15.18)

SA = 460.52 + 920.93

SA = 1381.45 cm^2

So the minimum surface area that minimizes weight is 1381.45 cm^2.

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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A Polynomial function satisfies the requirement of having zeros at -2, 3/4, and 3i, and its coefficients are all integers.

To construct a polynomial function with integral coefficients and zeros at -2, 3/4, and 3i, we can use the concept of complex conjugate roots. The polynomial function will have a least degree, meaning we aim to find the simplest polynomial that satisfies the given conditions. Here is the summary of the answer:

The polynomial function with integral coefficients and zeros at -2, 3/4, and 3i can be constructed using complex conjugate roots.

Now let's delve into the explanation. To begin, we consider the zeros provided: -2, 3/4, and 3i. Since we want the coefficients to be integral, we know that the complex conjugate of 3i will also be a zero, namely -3i.

To form the polynomial function, we use the fact that if a polynomial has a complex zero, its conjugate must also be a zero. Therefore, we can pair the complex zeros 3i and -3i, resulting in the factors (x - 3i) and (x + 3i). Similarly, we have (x + 2) as a factor for the zero -2, and (4x - 3) as a factor for the zero 3/4.

Multiplying these factors together, we obtain the polynomial function with the least degree that satisfies the given conditions. The resulting polynomial with integral coefficients is:

P(x) = (x - 3i)(x + 3i)(x + 2)(4x - 3)

This polynomial function satisfies the requirement of having zeros at -2, 3/4, and 3i, and its coefficients are all integers.

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If the current dispatch rate is one bus every 1 minute and the average traveling time is currently 5 minutes, dispatching buses every 0.5 minute will actually increase the average traveling time to 10 minutes, not reduce it to 4.5 minutes as suggested by the branch manager.

Assuming that the current dispatch rate is one bus every 1 minute, and the average traveling time (a round trip) is currently 5 minutes, we can use the following formula to estimate the average traveling time with the proposed dispatch rate:

new average traveling time = current average traveling time / (new dispatch rate / current dispatch rate)

Plugging in the values, we get:

new average traveling time = 5 / (0.5 / 1) = 10 minutes

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Answer:

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

step three:

we can reduce both numerator and denominator

= 10/3

Hence Liam has 10/3 pizza

Quantity of pizza that Liam has is;

3 full pizzas and a third of a pizza.

Martin has 5/6 of a pizza.

Thus;

Quantity of pizza that Martin has = 5/6

Now we are told that Liam has 4 times as much as Liam, then;

Quantity of pizza Liam has = 4(5/6) = 10/3

This translates to 3⅓ pizza

Thus, in conclusion, Liam has 3 full pizzas and a third of a pizza.

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Answer:

Step-by-step explanation:

slope formula: \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

Points (–3, 3) and (18, 26)

\(\frac{26-3}{18-(-3)}\)  = \(\frac{23}{21}\)

I got it right on the test (ed)

Answer:

cat is 6 pumpkin is 12 pot is 14 so 6+14-12=8

Step-by-step explanation: