Complete the square x^2+4x+8

The length of the wire used to make the cuboid is 36 meters.

To find the length of the wire used to make the cuboid, we need to calculate the perimeter of all the edges of the cuboid.

The cuboid has dimensions:

Length = 4m

Width = 2.5m

Height = 2.5m

Let's calculate the perimeter of each face of the cuboid and then sum them up to find the total length of the wire.

Face 1: Length x Width

Perimeter of face 1 = 2(Length + Width) = 2(4m + 2.5m) = 2(6.5m) = 13m

Face 2: Length x Height

Perimeter of face 2 = 2(Length + Height) = 2(4m + 2.5m) = 2(6.5m) = 13m

Face 3: Width x Height

Perimeter of face 3 = 2(Width + Height) = 2(2.5m + 2.5m) = 2(5m) = 10m

Now, let's sum up the perimeters of all three faces to find the total length of the wire:

Total wire length = Perimeter of face 1 + Perimeter of face 2 + Perimeter of face 3

                 = 13m + 13m + 10m

                 = 36m

Therefore, the length of the wire used to make the cuboid is 36 meters.

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The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

Generally,  is  mathematically given as

\($H \rightarrow(n, m)$\)

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)

\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)

In conclusion, P(x=4)=0.00085

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The number of trees that this farmer should plant per acre to maximize her harvest is 50 trees.

In order to solve this word problem, we would assign a variable to the number of trees per acre, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of trees per acre.

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = (50 - 2x) × (75 + x)

Total yield for an acre (T) = 3,750 + 50x - 150x - 2x²

Total yield for an acre (T) = 3,750 - 100x - 2x²

Next, we would differentiate with respect to x and equate to zero to find the maximum harvest:

dT/dx = d/dx(3,750 - 100x - 2x²)

dT/dx = -100 - 4x

0 = -100 - 4x

4x = -100

x = -100/4

x = -25

Therefore, the required number of trees for maximum harvest:

Number of trees = 75 + x

Number of trees = 75 - 25

Number of trees = 50 trees.

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Answer:

Arcadia

Step-by-step explanation:

the line in the box is the median and Arcadia is bigger than Millersburg

Answer:

3/8

Step-by-step explanation:

hope it helps :)

an = 3 + (15 - 1) * 4 = 3 + 14 * 4

= 3 + 56

= 59

So, the 15th term in the sequence is 59.

2. To find the sum of an arithmetic series with first term a1, last term an, and number of terms n, we use the formula: Sn = n/2 * (a1 + an). Plugging in the values, we get:

Sn = 20/2 * (5 + 119)

= 20/2 * 124

= 620

So, the sum of the series is 620.

3. To find the sum of an arithmetic series with first term a1, common difference d, and number of terms n, we use the formula: Sn = n/2 * (2a1 + (n - 1)d). Plugging in the values, we get:

Sn = 15/2 * (2 * 12 + (15 - 1) * 6) = 15/2 * (24 + 84)

= 15/2 * 108

= 810

So, the sum of the series is 810.

4.To find the nth term in a geometric sequence with first term a1, common ratio r, and nth term an, we use the formula: an = a1 * r⁽ⁿ⁻¹⁾. Plugging in the values, we get:

64 = 2 * r⁽⁶⁻¹⁾

64 = 2 * r⁵

32 = r⁵

r = \(2^{(5^{(1/5)} )}\)

So, the 6th term in the sequence is 64.

5. To find the sum of a finite geometric series with first term a1, common ratio r, and number of terms n, we use the formula: Sn = a1 * (1 - rⁿ) / (1 - r). Plugging in the values, we get:

Sn = 2 * (1 - 4⁶) / (1 - 4)

= 2 * (1 - 4096) / -3

= 2 * (-4095) / -3

= 2730

So, the sum of the series is 2730.

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Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Answer:

4x−5y=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

From the information provided in the picture we have two numbers, -5 and 5. Both numbers are written in the absolute value sign.

That is;

The absolute value sign makes the number assume a positive value. Therefore, both are positive at this point. We now have;

ANSWER:

The "equal to" sign goes into the answer box.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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(a) Plan B, 8

(b) 250, Plan A

Answer:

12 hours +  12 hours and 1 over 4

or 12 + 13 + 1/4 / 6 hours

Step-by-step explanation:

this is true since 1/4 of a day is 6 hours and  30 hours is equivalent to 24 hours plus 6 extra hours..

Answer:

HOURS AND HOURS WHIC IS EQUAL TO 24 WHICH MEANS 1 X 4 IS 4 SO THE ANSWER IS 42

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

Slope is rise/run. The rise here is 8. The run is 3. The line rises left to right so the slope is positive.

Hope it helps!

In linear equation, $38.25 are each coin are there .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

 A jar of dimes and quarters  = $2.55

 There are 15 coins in all.

  total coins = $2.55 * 15

                    = $38.25

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Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

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The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Answer:

$51

Step-by-step explanation:

do 13*3 because of the 2 kids and the adult then add 12 because of the snacks

hope this helps

Answer:

51 and what?

Step-by-step explanation:

3 x 13 = 39                  4 x 3 = 12

39 + 12 = 51

what is x supposed to be, sorry, i suck at variables

Answer:

16

Step-by-step explanation:

I dont really inderstand but i would say 16 because it is closer to adding up to 43 so yea

Answer:

Step-by-step explanation:

No, thoose two ratios are not equivalent, but I can show you the ones that are  equivalent, {You can write 5/7 or 10/14 or 20/28 or 40/56. There! 3 equivalent ratios.}

Answer:

x = 3

y = -1

Step-by-step explanation:

             Method:  substitution

x - 3y = 6 --------------(I)

      x  = 6 + 3y -------------(II)

2x + 2y = 4 ----------(III)

Substitute x = 6 +3y in equation (II),

        2*(6+3y) + 2y = 4

Use distributive property to open the parenthesis,

     2*6 + 2*3y + 2y = 4

         12 + 6y + 2y = 4

Combine like terms.

            12 + 8y      = 4

Subtract 12 from both sides,

                        8y  = 4 - 12

                        8y = -8

Divide both sides by 8,

                          y = -8÷ 8

                            \(\boxed{\bf y = (-1)}\\\)

Substitute y = -1 in equation (II) and find the value of x.

               x = 6 + 3*(-1)

                  = 6 - 3

               \(\sf \boxed{\bf x = 3}\)

Answer:

(3, - 1 )

Step-by-step explanation:

x - 3y = 6 ( add 3y to both sides )

x = 3y + 6 → (1)

2x + 2y = 4 → (2)

substitute x = 3y + 6 into (2)

2(3y + 6) + 2y = 4

6y + 12 + 2y = 4

8y + 12 = 4 ( subtract 12 from both sides )

8y = - 8 ( divide both sides by 8 )

y = - 1

substitute y = - 1 into (1)

x = 3(- 1) + 6 = - 3 + 6 = 3

solution is (3, - 1 )

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

\(\frac{21}{0.35} =60\)

Case 2

\(\frac{54}{0.9} =60\)

Now the 55% of this number is:

\(60(0.55)=33\)

Hope this helps

Answer:

complementary since the angles sum up to 90

1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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The stem-and-leaf plot is finished as follows:

4| 1 3 7.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

To complete the stem-and-leaf plot, we must obtain the measures above 40 from the table, which are given as follows:

41, 43 and 47.

Considering the format of the plot, the plot is completed as follows:

4| 1 3 7.

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Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking