A cube is sliced perpendicular to its base what is the shape of the resulting two dimensional cross-section 1. trapezoid 2. square 3.circle

Answer:

the coordinates of midpoint will be (-05 , 11)

Answer:

let A(-5,4) be x1,y1

B(-5,18) be x2,y2

we know

midpoint = [(x1+x2)/2, (y1+y2)/2]

                (-5,11)

Step-by-step explanation:

Answer:

19 chicken wings

Step-by-step explanation:

For $39.10=23 chicken wings

For $1=23/39.10 chicken wings

For $32.30=23/39.10 x 32.30= 19 chicken wings

Mean absolute percentage error is used in situations where you need to compare forecasting methods for different time periods.

The most used metric for gauging forecast accuracy is mean absolute percent error. It belongs to the category of scale-independent percentage errors, which may be used to compare series on various scales.

MAPE = mean (| eᵢ |/yᵢ )*100

where eᵢ is the error term and yᵢ is the actual data at the time i.

The drawback of MAPE is that it loses definition if the actual figure for any observation in the data has a value of 0.

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The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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The given problem concerns a vibrating circular drumhead fixed along the circumference. The following problem needs to be solved for the two-dimensional wave equation to find the displacement for all positive time.

The Bessel functions of the first kind are solutions of the Bessel differential equation, which is the second-order linear ordinary differential equation. The solutions of the Bessel differential equation are periodic, meaning that they repeat themselves after a fixed interval.

A problem was given to determine the displacement of a vibrating circular drumhead fixed along the circumference. The following problem has to be solved for the two-dimensional wave equation 1,0,t)0, a(r, θ, 0) = 1-r2, udT.0, 0) = 1, linn la(r, θ, t)| < oo where (r, ) are polar coordinates on a circle, and V2 denotes the Laplacian in Cartesian coordinates (x, y).

A Fourier-Bessel series was also given.n= where kn is the n-th positive zero of the Bessel function Jo.

To find the displacement of a vibrating circular drumhead fixed along the circumference, the following problem has to be solved for the two-dimensional wave equation.1,0,t)0, a(r, θ, 0) = 1-r2, udT.0, 0) = 1, linn la(r, θ, t)| < oo where (r, ) are polar coordinates on a circle, and V2 denotes the Laplacian in Cartesian coordinates (x, y).The Bessel functions of the first kind are solutions of the Bessel differential equation, which is the second-order linear ordinary differential equation. The solutions of the Bessel differential equation are periodic, meaning that they repeat themselves after a fixed interval.

A Fourier-Bessel series was given by n= where kn is the n-th positive zero of the Bessel function Jo. The Fourier-Bessel series of the problem is given by u(r,θ,t) =  ∑an(t)J0(knr)J0(kn).The problem requires the initial displacement of the drumhead to be radially symmetric along the circle with the maximum displacement taken at the center.

The initial velocity is a positive constant.To solve the given problem for the two-dimensional wave equation, we can use the separation of variables method to separate the solution of the equation into a product of functions of r and θ and a function of t. The general solution of the given problem for the two-dimensional wave equation is given byu

(r, θ, t) =  ∑an(t)J0(knr)J0(kn).

Therefore, we can conclude that to find the displacement of a vibrating circular drumhead fixed along the circumference, the following problem has to be solved for the two-dimensional wave equation. The general solution of the given problem for the two-dimensional wave equation is given by u(r, θ, t) =  ∑an(t)J0(knr)J0(kn).

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Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Isolate the variable term on one side of the equation by using equality's multiplication property. Then the correct option is A.

Given information:

\(\dfrac{2}{5} \left ( \dfrac{1}{2} y + 20 \right) - \dfrac{4}{5} = \dfrac{9}{20} \left ( 2y-1 \right)\)

The distributive property is often expressed as:

a(b + c) = ab + ac

a(b - c) = ab - ac

Where "a" is a coefficient (or factor) and "b" and "c" are terms.

The equation is simplified as,

\(\dfrac{1}{5} y + 8 - \dfrac{4}{5} = \dfrac{9}{10} y- \dfrac{9}{20}\)

Isolate the variable term on one side of the equation by using equality's multiplication property. Then the correct option is A.

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Answer:

Answers below!

Step-by-step explanation:

-9 x -5 = 45

45 x - 6 = -270

-270 x -3 = 810

The answer is positive because a negative multiplied by a negative equals a positive number.

-9 x -5 = 45

45 x 6 = 270

270 x -3 = -810

This answer is negative because a negative multiplied by a positive  equals a negative number.

Answer:

134

Step-by-step explanation:

26% of 515

.26 x 515 = 133.9 I cannot have .9 of a person.  Round to 134

Answer:

I believe it's a^2 * b^2 = c^2

Step-by-step explanation:

a^2 * 9^2 = 15^2

hope this helps! :)

Answer:

535 students passed and 107 students failed

Step-by-step explanation:

Create a system of equations where p is the number of students who passed and f is the number of students who failed:

p + f = 642

p = 5f

Solve by substitution by plugging in 5f as p into the first equation, then solving for f:

p + f = 642

5f + f = 642

6f = 642

f = 107

So, 107 students failed.

Find how many students passed by multiplying this by 5:

107(5)

= 535

535 students passed and 107 students failed.

The percent probability that a person likes blue​ pens is 30%, Black​ pens are liked by 44.8%, and Pencils are liked by 301 people.

Part 1:

To find the percent probability that a person likes blue pens, we need to divide the number of people who like blue pens by the total number of people surveyed and multiply by 100:

P(blue pens) = (75/250) x 100%

= 30%

Therefore, the percent probability that a person likes blue pens is 30%.

Part 2:

To find the percent probability that a person likes black pens, we use the same formula:

P(black pens) = (112/250) x 100%

= 44.8%

Therefore, the percent probability that a person likes black pens is approximately 44.8%.

Estimating the number of people who like pencils or black pens in a survey of 400 people:

To estimate the number of people who like pencils or black pens in a survey of 400 people, we can assume that the proportion of people who like pencils or black pens in the larger sample of 250 people is the same as in the smaller sample of 400 people.

The estimated number of people who like pencils or black pens in a survey of 400 people is:

(63 + 112)/250 x 400 = 300.8

Therefore, we can estimate that about 301 people in a survey of 400 people would say they like pencils or black pens.

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For ΔDEF , Length of shorter side = 6, Length of medium side = 8 , Length of longer side = 12.

For ΔGHI , Length of shorter side = 9, Length of medium side = 12 , Length of longer side = 18.

For ΔJKL , Length of shorter side = 3/2, Length of medium side = 2 , Length of longer side = 3.

What are Similar Triangles ?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

In the given figure below, two triangles ΔABC and ΔXYZ are similar only if,

i)       ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z

ii)       AB/XY = BC/YZ = AC/XZ (Similar triangles proportions)

Hence, if the above-mentioned conditions are satisfied, then we can say that ΔABC ~ ΔXYZ

It is interesting to know that if the corresponding angles of two triangles are equal, then such triangles are known as equiangular triangles. For two equiangular triangles we can state the Basic Proportionality Theorem (better known as Thales Theorem) as follows:

For two equiangular triangles, the ratio of any two corresponding sides is always the same

Given that ,

For ΔABC , Length of shorter side = 3, Length of medium side = 4 , Length of longer side = 6.

Now,

For ΔDEF ,

Scale Factor = 2

Length of shorter side = 2*3 = 6, Length of medium side =2*4 = 8 , Length of longer side =2*6 = 12.

For ΔGHI ,

Scale Factor = 3

Length of shorter side = 3*3 = 9, Length of medium side =3*4 = 12 , Length of longer side =3*6= 18.

For ΔJKL ,

Scale Factor = 1/2

Length of shorter side =3*1/2 = 3/2, Length of medium side =4*1/2= 2 , Length of longer side =6*1/2= 3.

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The height of the Kite 386ft

Conversion of units from cm to meters will affect both the values of r^2 and s same.

What are r^2 and s?

R-squared (r^2) is a statistical measure that shows how much of a dependent variable's variance is explained by one or more independent variables in a regression model. R-squared measures how well the variance of one variable accounts for the variance of the second, as opposed to correlation, which describes the strength of the relationship between independent and dependent variables. Therefore, if a model's r^2 is 0.50, its inputs can account for about half of the observed variation.

The regression's standard error gives an absolute measurement of how far away from the regression line the data points typically are. S is in the dependent variable's units. The relative measure of the proportion of the dependent variable variance that the model explains is given by R-squared.

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Using integer addition, the total profit from the Spanish Club's bake sale is $270.

Integer refers to whole numbers(non-fractional numbers) that can either be positive or negative, and zero.

Adding positive integers will result to a positive integer while adding negative integers will result to a negative integer. But, adding a negative integer to a positive integer is the same as subtracting its positive.

If the income from the Spanish Club's bake sale was $300 and the expenses for the sale is $30, the total profit will be:

income = +$300

expenses = -$30

Using integer addition,

profit = income + expenses

profit = +$300 + (-$30)

profit = $300 - $30

profit = $270

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To form a triangle, the sum of the lengths of any two line segments must be greater than the length of the third side. This is known as the triangle inequality theorem. For example, if we have line segments with lengths of 5, 7, and 10 units, we can add the first two lengths (5+7=12) and compare it to the length of the third side (10). Since 12 is greater than 10, we can form a triangle with these line segments.

On the other hand, if we have line segments with lengths of 3, 6, and 10 units, we can add the first two lengths (3+6=9) and compare it to the length of the third side (10). Since 9 is not greater than 10, we cannot form a triangle with these line segments.

Therefore, the set of line segments that do not meet the requirements to form a triangle are those where the sum of any two lengths is equal to or less than the length of the third side. It is important to remember the triangle inequality theorem when working with triangles, as it is a fundamental rule that determines if a set of line segments can form a triangle or not.

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Answer:

Step-by-step explanation:

AB is parallel to CD, AD is parallel to CD then ΔABC approximately equals to triangle ΔCDA

From given AB∥CD

AD∥CD from given

∠ABC = ∠CDA because of corresponding angles

BAC = ∠ACD because of alternate interior angles

ΔABC ≅ ΔCDA by By angle-angle (AA)

we are given that AB is parallel to CD and AD is parallel to CD.

We need to prove that ΔABC is approximately equal to ΔCDA.

To do this, we use the angle-angle (AA) similarity theorem.

First, we can identify that ∠ABC and ∠CDA are corresponding angles, as they are on the same side of the transversal line AB and CD, respectively, and they are formed by parallel lines.

Therefore, ∠ABC ≅ ∠CDA.

Hence, AB is parallel to CD, AD is parallel to CD then ΔABC approximately equals to triangle ΔCDA

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Answer:

They are similar by SAS similarity.

Step-by-step explanation:

The angles SRQ and UTV are congruent, as given. The sides of both angles are proportionate, as 64/32=16/8. This means that the triangles have similar sides SR, UT and QR, VT. Since the angle is in the middle, we can conclude it's SAS or side angle side similarity.

Hope this helps :)

Answer:

Angle A is congruent to Angle X.

Angle B is congruent to Angle Z.

Angle C is congruent to Angle Y.

∆BAC ≈ ∆ZXY.

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Answer:63

Step-by-step explanation:

63/7+25=34

Answer:

x = 63

Step-by-step explanation:

we know that...

(x will be the stand-in for "your number")

x ÷ 7 + 25 = 34

(x ÷ 7) + 25 = 34

To find x, we have to isolate x

first, we can subtract 25 from both sides (remember, if you do an action on one side, you must do the same action on the other side)

{why are we subtracting? we need to do the opposite of a sign to get rid of it. By subtracting, we are undoing addition; by multiplying we are undoing division (and vice versa)  }

(x ÷ 7) + 25 = 34

          - 25    - 25     (subtract 25)

x ÷ 7 = 9

  × 7    ×7       (multiplying by 7 to get rid of the "÷7")

x = 63

now, we can test out our x-value:

(63 ÷ 7)  +25 = 34

( 9 ) + 25 = 34

34 = 34

because this equation is true, we can be certain that x = 63

hope this helps!

9514 1404 393

Answer:

  (b)  tan B = 8/6

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant relationships:

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then angle B is involved in tangent and cosine relationships this way:

  tan B = 8/6 . . . . . . matches 2nd choice

  cos B = 6/10 . . . . . matches no choices

_____

Additional comment

Both of the offered cosine choices give a cosine value that is greater than 1. The cosine of a real angle is never greater than 1, so those can be rejected immediately.

The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.

Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.

Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34

Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19

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Answer:

m=3

Step-by-step explanation:

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Using a linear equation to solve this problem, the charge for a 3.5 hour job is 85.45 dollar.

To find how much was the bill, we need to write an equation or linear equation for this.

For every linear equation, it takes the form of y = mx + c.

Where m and c are the slope and intercepts of the straight line.

In this case, our linear equation can be written as

y = 18.70x + 20

where x = number of hours worked.

If the job took three and a half hour which is 3.5 hours, we can substitute this into the equation and solve.

y = 18.70(3.5) + 20

y = 85.45

The charge is 85.45 dollar.

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Answer:

10n−13

Step-by-step explanation:

Let's simplify step-by-step.

n−10+9n−3

=n+−10+9n+−3

Combine Like Terms:

=n+−10+9n+−3

=(n+9n)+(−10+−3)

=10n+−13