2) A square piece of land was divided by a 850-meter diagonal fence. One side of the land measures 700 m. how many meters of fence does the owner need to complete the fencing of half of the land? formod hy nutting i smuares fonether 1 souare is at the center. What is the​

Jara has 2 alternatives: -2 and -1 A number line is a diagram that depicts numbers,

As we walk along the line from left to right, the numbers rise. Positive numbers are often to the right and negative numbers to the left of zero, which is typically in the middle of the line.

Jara wants to choose a negative number that, in this instance, is closer to zero than -3. This suggests that instead of choosing -3, she should choose a negative integer that is situated nearer to zero on the number line.

-2 and -1 are the two negative numbers that are nearer to zero than -3. On the number line, these values are to the right of -3 and are nearer to zero than -3.

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Answer: I think it's 0

Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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Answer:

an infinite amount of solutions

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest

Answer: Infinite

Step-by-step explanation: :)

Answer:

4 is the answer bc from 2 to 3 the output goes up 4 and from 3 to 5 the in put goes up 2 while the output goes up 8 meaning the input 4 would be up 4 from 3

Step-by-step explanation:

Answer:

a. 304 feet

b. 425 feet

c. 3.75 seconds

d. It will take the rocket approximately 8.9 seconds to hit the ground

Step-by-step explanation:

1. The given data of the question including the question relationships are listed as follows;

The height of the cliff from which the rocket was launched = 200-ft.

The initial velocity of the rocket, u = 120 feet per second

The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200

a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;

h(1) = -16 × (1)² + 120 × (1) + 200 = 304

The height of the rocket after 1 second, h(1) = 304 feet

b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;

At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0

∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0

t = 120/32 = 3.75

At the maximum point, t = 3.75 seconds

The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;

At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75

At the vertex (the maximum point), t = 3.75

The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425

The height at the maximum point, h(3.75) = 425 feet

c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75

Therefore;

The time it takes the rocket to reach the maximum point, \(t_{max}\) = 3.75 seconds

d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;

At the ground level, h(t) = 0 = -16·t² + 120·t + 200

Therefore, we get;

-16·t² + 120·t + 200 =

t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))

t ≈ 8.9 or t ≈ -1.4

Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

\(\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\\)

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Hence, if yοu utilise the entire match, yοur accοunt will be credited with $8,000 befοre the end οf the year. Thus, option A is correct.

Fοr the purpοse οf resοlving prοpοrtiοnality issues, mathematicians emplοy the unitary methοd. It is predicated οn the nοtiοn that if we are aware οf the relatiοnship between twο quantities fοr οne unit οf measurement, we may utilise that relatiοnship tο determine the relatiοnship between the same twο values fοr any οther unit οf measurement.

When we need tο determine the value οf οne quantity based οn the value οf anοther quantity and the twο quantities are related tο οne anοther prοpοrtiοnally, we frequently emplοy the unitary technique in practical circumstances. The unitary technique can be used, fοr instance, tο determine the price οf five apples if we knοw that three apples cοst $2.

given,

If yοur emplοyer matches yοur retirement cοntributiοns dοllar fοr dοllar up tο a maximum οf $4,000, this implies that fοr every dοllar yοu put in, yοur emplοyer will put in an additiοnal dοllar, up tο a tοtal οf $4,000 in matching funds.

Yοur emplοyer will cοntribute an additiοnal $4,000 if yοu cοntribute the whοle $4,000, fοr a tοtal οf $8,000 in cοntributiοns tο yοur accοunt by the end οf the year.

Hence, if yοu utilise the entire match, yοur accοunt will be credited with $8,000 befοre the end οf the year.

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If your employer matches your retirement contributions on a dollar-for-dollar basis up to $4,000, how much will be contributed to your account by the end of the year if you take advantage of the entire match?

a. $8,000

b. $8,800

c. $8,100

d. $9,800

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

9514 1404 393

Answer:

  3 1/2 hours

Step-by-step explanation:

If there are 8/7 times as many cooks, it will take 7/8 the amount of time. (That's what "inversely proportional" means.)

  (7/8)(4 h) = 28/8 h = 3 1/2 h

It will take 8 cooks 3 1/2 hours to prepare the dinner.

Answer:

The correct answer is graph B.

Hope This Helps! Sorry for late answer!

Answer:

its A because because the slope of the y-intercept is on the possative base towards the iquantities which is to be a posative number, in that case the y-intercept adds a 1 to the x which would lead towards the negative side therefor your answer will be y < -x -2

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my very best to get you a better answer!

Have a wonderful day! :)

And if you need help with anything, im here :)

The οrdered pair that is a sοlutiοn οf the equatiοn is (-5, 0).

A value οr grοup οf values that satisfy an equatiοn οr an inequality are referred tο as sοlutiοns in mathematics. Fοr instance, if we have the equatiοn 2x + 3 = 7, the answer is x = 2 since we get the cοrrect answer when we replace x with 2: 2(2) + 3 = 7.

Similar tο the last example, if we had an inequality like x + 4 > 10 then the sοlutiοn is x > 6, meaning any value οf x greater than 6 wοuld make the inequality true.

Tο find which οrdered pair is a sοlutiοn οf the equatiοn -5x - 3y = 25, we need tο substitute values οf x and y intο the equatiοn and see if it hοlds true.

Let's try the ordered pairs one by one:

a) (-5, 0)

Substituting x = -5 and y = 0 in the equation, we get:

-5(-5) - 3(0) = 25

25 = 25

This equation is true, so (-5, 0) is a solution of the equation.

b) (0, -8)

Substituting x = 0 and y = -8 in the equation, we get:

-5(0) - 3(-8) = 25

24 = 25

This equation is not true, so (0, -8) is not a solution of the equation.

Therefore, the ordered pair that is a solution of the equation is (-5, 0).

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Complete question:

Which ordered pair is a solution of this equation?

-5x - 3y = 25

a) (-5, 0)

b) (0, -8)

In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.

A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.

Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:

U(X, Y) = 6X - Y

It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.

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SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

Answer:

No.

Step-by-step explanation:

No, the equality ||u + v|| = ||u|| + ||v|| does not hold for all vectors u and v in 3D. This equality is known as the Triangle Inequality, and it states that the length of the sum of two vectors is always less than or equal to the sum of their individual lengths. Hence, ||u + v|| <= ||u|| + ||v||.

The degrees of freedom for error in a two-way ANOVA experiment with 3 levels for factor a, 7 levels for factor b, and 100 replications is 2071.

The degrees of freedom (df) for error in a two-way ANOVA experiment depend on the sample size (n) and the number of parameters estimated in the model.

In a two-way ANOVA experiment, we are interested in modeling the response variable as a function of two factors, a and b, and their interaction. The model can be written as follows:

Yij = μ + αi + βj + (αβ)ij + εij

In general, the df for error can be calculated as follows:

df error = n - k

where k is the number of parameters estimated in the model.

In our case, we have 3 levels for factor a, 7 levels for factor b, and 100 replications. Therefore, the total sample size is n = 3 x 7 x 100 = 2100.

To estimate the parameters in the model, we need to calculate the following:

The overall mean μ

The effect of factor a, αi, for i = 1, 2, 3

The effect of factor b, βj, for j = 1, 2, ..., 7

The interaction effect between factors a and b, (αβ)ij, for i = 1, 2, 3 and j = 1, 2, ..., 7

Therefore, the total number of parameters estimated in the model is

=> k = 1 + 3 + 7 + 3 x 7 = 29.

Finally, we can calculate the df for error as:

df error = n - k = 2100 - 29 = 2071.

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The number of strings of length 10 over the alphabet {a,b,c,d} that have at least one b somewhere in the string is 4¹⁰ - 3¹⁰.

The total number of possible strings of length 10 over the alphabet {a,b,c,d} is 4¹⁰ since each character in the string can be one of four possibilities.

To find the number of strings that have at least one b somewhere in the string, we can use the complement principle.

That is, we can find the number of strings that have no b's and subtract that from the total number of strings.

The number of strings of length 10 over the alphabet {a,c,d} (i.e., no b's) is 3¹⁰, since each character in the string can be one of three possibilities.

Therefore, the number of strings of length 10 over the alphabet {a,b,c,d} that have at least one b somewhere in the string is:

4¹⁰ - 3¹⁰

This is your answer, but since it's a relatively straightforward calculation, there's not much else to add. So, the long answer to your question is:

The number of strings of length 10 over the alphabet {a,b,c,d} that have at least one b somewhere in the string is 4¹⁰ - 3¹⁰.

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Answer:

the length of the shortest ladder is 11.41 feet

Step-by-step explanation:

The computation of the length of the shortest ladder is shown below:

AB^2 = AC^2 + BC^2

AB^2= (10)^2 + (5.5)^2

AB^2= 100 + 30.25

AB^2 = 130.25

AB = 11.41 feet

hence, the length of the shortest ladder is 11.41 feet

Answer:

38.461538

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Step-by-step explanation:

AC=AB+BC

24x-6=9x+38+21

24x-9x=65

15x=65

x= 4.33333 cm. 4.3 cm.

305 R 5

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

There is gain of $1,000 on the sale. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers are believed to be able to be described by the four fundamental operations, often known as "arithmetic operations". Quotient, product, sum, and difference are the next four mathematical operations after division, multiplication, addition, and subtraction.

We are given that an equipment costing $135,000 has a book value of $124,000 and it is sold for $125,000.

Since, the sale value is higher than the book value, therefore there is a gain.

Using arithmetic operations, we get

Gain on sale = $125,000 - $124,000

Gain on sale = $1,000

Hence, there is gain of $1,000 on the sale.

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The second part of the question i.e. how is it recorded for this transaction is related to the subject accountancy and not mathematics.

\( \longmapsto \: 2(2x - 1 + x + 9) = 103 \\ \\ \longmapsto \: 2(3x + 8) = 106 \\ \\ \longmapsto \: 6x +16 = 106 \\ \\ \longmapsto \: x = \frac{90}{6} \\ \\ \longmapsto \: x = 15 \)

So,

\(l = 2 \times 15 - 1 = 29 \\ \\ b = 2 + 15 = 17\)

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the breadth (or width) of the rectangle.

In this case, we know that the perimeter is 106 cm, so we can set up the equation:

106 = 2(l + (X + 9))

106 = 2l + 2X + 18

We also know that the length of the rectangle is 2X - 1, so we can set this equal to l:

2X - 1 = l

Now we have a system of two equations with two unknowns (l and X). We can substitute the value of l from the second equation into the first equation and solve for X:

106 = 2(2X - 1 + (X + 9))

106 = 2(3X + 8)

106 = 6X + 16

90 = 6X

X = 15

Now that we know the value of X, we can substitute it back into the equation for the length of the rectangle to find the length:

l = 2X - 1 = 2(15) - 1 = 29 cm

And then we can use the value of X again to find the breadth:

w = X + 9 = 15 + 9 = 24 cm

So the length of the rectangle is 29 cm and the breadth is 24 cm.

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Answer:

2) 76

3)  64

Step-by-step explanation:

1. In parallelogram ABCD, the sum of ∠a and ∠b is 180 degree. So the option d "a° + b° = 180°" is correct.

2. In rectangle FGHK, FC = CH = 8. 5 cm, then the area of rectangle FGHK is 120 square cm. So the option b is correct.

3. The length of GK is 17 cm because the length of all diagonal is same in rectangle. So the option d is correct.

4. In parallelogram EFGH, the sum of ∠e and ∠f is 180 degree. So the option d "a° + b° = 180°" is correct.

1. In parallelogram ABCD, ∠a and ∠b are adjacent to each other.

So, AB║DC.

Then we get ∠a and ∠b as subsequent interior angles, both of which need to be added.

So the sum of ∠a and ∠b is 180 degree.

a° + b° = 180°

2. In rectangle FGHK, FC = CH = 8. 5 cm.

From the diagram, FG = 8 cm

FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

Using Pythagorean Theorem to find the value of GH.

FH^2 = FG^2 + GH^2

(17)^2 = (8)^2 + GH^2

289 = 64 + GH^2

Subtract 64 on both side, we get

GH^2 = 225

Taking square root on both side, we get

GH = 15 cm

The area of rectangle = FG × GH

The area of rectangle = 8 × 15

The area of rectangle = 120 square cm

3.  In rectangle FGHK, FC = CH = 8. 5 cm.

So FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

As, a rectangle is split into two congruent right triangles by a diagonal. The length of the rectangle's diagonals are all the same.

So GK = FH = 17 cm

4. In parallelogram EFGH, ∠e and ∠f are adjacent to each other.

So, EF║HG.

Then we get ∠e and ∠f as subsequent interior angles, both of which need to be added.

So the sum of ∠e and ∠f is 180 degree.

e° + f° = 180°

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Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001