A rectangular prism has a base area of 380 square feet. The volume of the prism is 4180 cubic feet. What is the height of the prism?

Las viñetas o numerales en un juego de patio se utilizan para marcar el progreso de un juego o actividad.

Por ejemplo, en un juego de rayuela, cada viñeta representa un paso hacia el objetivo final y los jugadores avanzan saltando sobre las viñetas en un orden determinado.

En otros juegos, las viñetas o numerales se utilizan para llevar un registro de la puntuación de los jugadores o para determinar el orden en que deben realizarse las acciones.

En resumen, las viñetas o numerales son un elemento importante en muchos juegos de patio y pueden ser utilizadas de diversas maneras para marcar el progreso, la puntuación o el orden de las acciones en un juego.

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The measure of the arc BC using the congruency of central angle and intercepted arc is 85°.

Given a circle.

Also given that,

Measure of arc AE = 70°

Also, m ∠BDC = 85°

Now, ∠BDC is the central angle corresponding to the intercepted arc BC.

central angle and intercepted arc are congruent.

So, m arc BC = 85°

Hence the required measure is 85°.

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The solution of the system of equations in this problem is given as follows:

(4,0).

The equations that compose the system in this problem are given as follows:

We solve the system graphically, hence the solution is given by the point of intersection of the graphs of the two functions.

From the graph given by the image presented at the end of the answer, the solution to the system is given as follows:

(4,0).

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In this given problem, we have to calculate the values of α and β for the daily consumption of electric power having gamma distribution and also have to find the probability of the given scenario.

a) The value of \(\alpha =3\) and \(\beta =6\).

b) The probability that on any given day the daily power consumption will exceed 12 million kilowatt hours is 0.10702 (approx.).

a) The gamma distribution is represented by X ∼ Γ(α, β).

We are given that the mean of gamma distribution is μ = 6 and variance is σ² = 12.

Now, we know that the mean and variance of a gamma distribution are given as follows:

Mean, μ = αβ

Variance, σ² = αβ²

By putting the values given in the question, we have

6 = αβ

12 = αβ²

Dividing the above two equations, we get:

αβ / αβ² = 1 / 2

β = 2α

Hence, substituting the value of β in the equation 6 = αβ, we get:

α = 3 and β = 6

b) We have to find the probability that on any given day the daily power consumption will exceed 12 million kilowatt hours.Since the distribution is a gamma distribution, we have X ∼ Γ(3, 6).

To find the probability of any random variable exceeding a certain value, we use the following formula:

P(X > a) = 1 - F(a)

where F(a) is the cumulative distribution function (CDF) of X.

To use this formula, we first need to find the CDF of X, which is given by:

P(X ≤ x) = F(x) = {1 / (Γ(α)β³)} ∫₀ⁿ x² e⁻(x/β) dx

We can use a computer or calculator to find this integral, or we can use tables of the gamma distribution to look up the value of F(x).

Here, we will use a calculator to find the value of F(12).F(12) = 0.89298 (approx.

)Now, using the formula for the probability of exceeding a certain value, we get:

P(X > 12) = 1 - F(12)

              = 1 - 0.89298

              = 0.10702 (approx.)

Therefore, the probability that on any given day the daily power consumption will exceed 12 million kilowatt hours is approximately 0.10702 or 10.702%.

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Answer:

Bette needs 8 jumbo cans to frost 280 cupcakes

Step-by-step explanation:

1 jumbo can is equivalent to 35 cupcakes, as we can see it takes 5 jumbo cans to get 175 and 3 to 105 the gap of 105 and 175 is 70 and the gap of 3 and 5 is 2 which means we divide 70 to 2 which the answer is 35, now we know its 35 we need to divide 280 and 35 now which the answer is 8.

Answer:

i hope this helps you

7.4+(-2)

28-2

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.

Answer:

√99, 9.8 repeating, π2

Step-by-step explanation:

hope this helped!

Answer:

Yes

Step-by-step explanation:

So, we see that both Francie and Jake lives miles from the school. Hence, they both live the same distance from the school.

Answer:

pick the second one

Step-by-step explanation:

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

The roots of the function f ( x ) are x = 1 and x = 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x⁴ - 13x³ + 38x² - 23x - 3

On simplifying , we get

The possible factors of the constant term (-3) are ±1 and ±3, while the possible factors of the leading coefficient (1) are ±1.

Now, we can test these factors by substituting them into the function and checking if the result is zero:

f(1) = (1)⁴ - 13(1)³ + 38(1)² - 23(1) - 3 = 1 - 13 + 38 - 23 - 3 = 0

f(-1) = (-1)⁴ - 13(-1)³ + 38(-1)² - 23(-1) - 3 = 1 + 13 + 38 + 23 - 3 = 72

f(3) = (3)⁴ - 13(3)³ + 38(3)² - 23(3) - 3 = 81 - 351 + 342 - 69 - 3 = 0

f(-3) = (-3)⁴ - 13(-3)³ + 38(-3)² - 23(-3) - 3 = 81 + 351 + 342 + 69 - 3 = 840

From the above calculations, we can see that f(1) = f(3) = 0. This means that x = 1 and x = 3 are roots of the polynomial function

Hence , the function is solved and x = 1 and x = 3

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Answer:

this is a confusing one

Step-by-step explanation:

Answer:

11.18

The square root of 125 is 11.18.

Hope this helps have a great day! ♣

The vectors ⟨-11, b, 2⟩ and ⟨b, b², b⟩ are orthogonal for the values of b = 0, √13, and -√13.

To determine the values of b for which the given vectors are orthogonal, we need to check if their dot product is equal to zero.

Given vectors:

u = ⟨-11, b, 2⟩

v = ⟨b, b², b⟩

The dot product of u and v is given by:

\(u . v = (-11)(b) + (b)(b^2) + (2)(b)\)

Setting the dot product equal to zero and solving for b, we have:

\((-11)(b) + (b)(b^2) + (2)(b) = 0\)

Simplifying the equation, we get:

\(-b^3 + 13b = 0\)

Factoring out b, we have:

\(b(-b^2 + 13) = 0\)

Therefore, the values of b for which the vectors ⟨-11, b, 2⟩ and ⟨b, b^2, b⟩ are orthogonal are b = 0 and b = ±√13.

Hence, the values of b are 0, √13, and -√13.

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a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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Answer:

D. 280°

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

From the diagram,

arc EAC = arc EAB + arc BC ... (1)

Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°

Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°

Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:

arc BC + 25°+55° = 180°

arc BC = 180° - 80°

arc BC = 100°

Remember from initial equation 1 that arc EAC = arc EAB + arc BC

arc EAC = 180°+100°

arc EAC = 280°

The measure of EAC is therefore 280°

Answer:

280

Step-by-step explanation:

AB is a vertical angle of ED. This means that they are congruent.

ED + CD = ?

55 + 25 = 80

360 - 80 = 280

Answer:

x= 26

Step-by-step explanation:

area of rectangle = L×b

240 = 10(x-2)

240 = 10x - 20

240+20 =10x

260 =10x

260/10 = x

26 = x

:,x =26

The required value of x is 26

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The vertical distance between (2, 11/3) and (2, -4/3) is -5 units.

The distance formula is a mathematical equation used to find the distance between two points in a plane. It is derived from the Pythagorean theorem and is expressed as:

d = √((x₂- x₁)²+ (y₂ - y₁)²)

The distance formula can also be extended to three-dimensional space by adding an additional term to the equation.

The two points (2, 11/3) and (2, -4/3) have the same x-coordinate, which means they lie on a vertical line. To find the vertical distance between these two points, we simply subtract their y-coordinates:

Vertical distance = (y-coordinate of second point) - (y-coordinate of first point)

= (-4/3) - (11/3)

= -15/3

= -5

Therefore, the vertical distance between (2, 11/3) and (2, -4/3) is -5 units. Since this is a negative value, it means that the second point is located 5 units below the first point.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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A group of zebras by randomly selecting first from males, then from females" is c) Systematic sample.

In a systematic sample, the selection of elements is done by choosing every kth element from a population list. In the given scenario, the process of selecting zebras starts with randomly selecting a male zebra from the group, followed by selecting a female zebra. This systematic approach of choosing zebras by alternating between genders fits the description of a systematic sample.

therefore, A group of zebras by randomly selecting first from males, then from females" is  c) Systematic sample.

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Answer: Supercomputers

Step-by-step explanation: Supercomputers are high-performance computing systems that are designed to perform complex and demanding tasks at incredibly fast speeds.  They are capable of processing massive amounts of data and performing calculations at a rate that far exceeds that of conventional computers.

Supercomputers are used for a variety of purposes, including scientific research, weather forecasting, modeling and simulation, data analysis, and artificial intelligence.  They are especially valuable in fields that require extensive computational power, such as astrophysics, molecular modeling, climate studies, and cryptography.

One key characteristic of supercomputers is their parallel processing capability.  They are designed with multiple processors or cores that work together to execute tasks simultaneously, allowing for faster and more efficient computation. This parallel architecture enables supercomputers to tackle large-scale problems by breaking them down into smaller tasks that can be processed concurrently.

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Answer:

Riley restoration rotators

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer: H = 35

Step-by-step explanation:

You do 20.00+5*h

The correct statement about the electromagnetic spectrum is (d) the frequency of infrared radiation, which has a wavelength of 1.0 × 10³ nm, is twice that of radio waves, which have a wavelength of 1.0 × 10⁶ nm.

The speed of light in a vacuum is constant, so the speed of different types of electromagnetic waves is the same. Therefore, statement (a) is incorrect because the speed of x-rays and infrared radiation is the same.

The wavelength of visible radiation decreases as its color changes from red to violet, not from blue to green. Thus, statement (b) is incorrect.

The frequency of a wave is inversely proportional to its wavelength. Since infrared radiation has a shorter wavelength (1.0 × 10³ nm) compared to radio waves (1.0 × 10⁶ nm), it has a higher frequency. Therefore, statement (c) is incorrect.

On the other hand, statement (d) is correct because a shorter wavelength corresponds to a higher frequency. Thus, the frequency of infrared radiation (1.0 × 10³ nm) is indeed twice that of radio waves (1.0 × 10⁶ nm) due to the significant difference in their wavelengths.

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The sum $a b c$ is 11760 if the ratio of the areas of two squares is  \($\frac{32}{63}$\).

Let the side length of the first square be x and the side length of the second square be y. Then we have:

\(\frac{Area of first square}{Area of second square} = \frac{x^2}{y^2} = \frac{32}{63}\)

By cross multiplying, we get:

63 x² = 32 y²

And then by rearranging:

\(\frac{x}{y} = \frac{4\sqrt{7} }{9}\)

Now, rationalizing the denominator, we get:

\(\frac{x}{y} = \frac{4\sqrt{7} }{9} . \frac{\sqrt{7} }{\sqrt{7} } = \frac{28\sqrt{7} }{63}\)

Thus, a.b.c = 28.7.63 = 11760.

Therefore, the value of the sum $a b c$ is 11760.

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