help me please i dont understand this​

Answer: 141.3 in\({3}\)

1. V = πr\({2}\)h

2. V = (3.14)(\(3{2}\))(5)

3. V = 141.3 in.

Hope this answer helps you!

Answer: Perimeter: 110 ft

Area: 390 ft

Step-by-step explanation:

P=Perimeter. A=Area

P=25+20+30+7+(30-20)+(25-7)

P=25+20+30+7+10+18

P=25+50+17+18

P=75+35

P=110 ft

A=(30*7)+((25-7)*(30-20))

A=210+(18*10)

A=210+180

A=390 ft

Let X be the number of fixed points of a random permutation of n elements. A fixed point is an element that remains in the same position after the permutation. Thus, the probability that an element is fixed is 1/n, and the probability that it is not fixed is (n-1)/n.

Using the linearity of the expected value, we can calculate the expected value of X as:

E(X) = E(X1 + X2 + ... + Xn) = E(X1) + E(X2) + ... + E(Xn)

where Xi is the indicator random variable that is equal to 1 if the i-th element is fixed and 0 otherwise. Since the probability of an element being fixed is 1/n, we have E(Xi) = 1/n. Therefore,

E(X) = n * (1/n) = 1

To find the variance of X, we need to compute E(X^2) - E(X)^2. We can use the fact that X^2 = X1 + X2 + ... + Xn, where Xi is the indicator random variable that is equal to 1 if the i-th and j-th elements are both fixed and 0 otherwise. Then,

E(X^2) = E(X1 + X2 + ... + Xn)^2 = E(X1^2 + X2^2 + ... + Xn^2) + 2 E(X1X2 + X1X3 + ... + X(n-1)n)

Since there is only one way to fix two elements out of n, we have E(XiXj) = 1/(n(n-1)). Therefore,

E(X^2) = n * (1/n) + n(n-1) * (1/(n(n-1))) = 1 + 1/n

Finally, the variance of X is

Var(X) = E(X^2) - E(X)^2 = 1 + 1/n - 1^2 = 1/n

Therefore, the variance of the number of fixed elements of a randomly selected permutation of n elements is 1/n.

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Answer:

4

Step-by-step explanation:

6n - n = 5n

13 + 7 = 20

5n = 20

20/5 = 4

n = 4

Answer:

n = 4

Step-by-step explanation:

To solve this, we first have to get the n's on one side:

\(6n - 7 = n + 13\)

↓ add 7 to both sides

\(6n = n + 20\)

↓ subtract n from both sides

\(5n = 20\)

Then, we can divide by 5 on both sides to solve for n.

\(n = 4\)

The probabilities must add up to 1.

A : 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1.2 ≠ 1

B : 0.1 + 0.2 + 0.3 + 0.3 + 0.2 + 0.1 = 1.2 ≠ 1

C : 0.1 + 0.2 + 0.4 + 0.1 + 0.1 = 0.9 ≠ 1

D : 0.2 + 0.1 + 0.1 + 0.5 + 0.1 = 1

Total weight of cheese = 1.44 lb

Weight of cheese for one sandwich = 0.08 lb

Number of sandwiches you can make from 1.44 lb

= 1.44/0.08

= 18 sandwiches

Answer:

are they seperate equations?

Step-by-step explanation:

Answer:

putting the values of coordinates in equation to check for the solution.

For A

2x + y < 10

2(-5) + 4 < 10.

-10 - 4 < 10

-14 < 10 ( true)

2x - 4y > 8

2(-5) - 4(4) > 8

-10 - 16 > 8

-26 > 8

false..

it is not the solution of the equation.

similarly we can find for other coordinates.

E is the solution

By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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Answer:

80 and 20

Step-by-step explanation:

80+80+20=180

Answer:

the one that charges $9.50 for each shirt

Step-by-step explanation:

It is because, for the first one, you need to add $20 to prepare it and an additional $9.00. Altogether, you need $29 for EACH shirt. But for the second company, you just need to play $9.50 for each shirt. The Second company is cheaper and therefore better

Answer:

a = 10

Step-by-step explanation:

Supplementary angles sum to 180° , so

150 + 3a = 180 ( subtract 150 from both sides )

3a = 30 ( divide both sides by 3 )

a = 10

Let's say we fit a batch of data to a least-squares regression line. Outliners are points with abnormally high residual values.

Finding the line that "fits" the scatter plot of the data points the best is the technique of linear regression. Given the value of the independent variable, this is typically used to forecast the value of the dependent variable.

Data points or observations that deviate greatly from the majority of the data due to their anomalous separation from the remainder are known as outliers. They must be taken into account since they have a significant impact on the regression line's slope.

As a result, the response is (c) Outliers can easily be detected by linear regression.

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Answer:

Step-by-step explanation:

∠1 , ∠4 and ∠8

The statement of pre-image is dilated is the resulting image congruent to the origina is false.

A dilation is a change that creates a picture that is a similar shape as the first, however is an alternate size. • An expansion that makes a bigger picture is called a development. • An expansion that makes a more modest picture is known as a decrease.

As we all know that dilation is used to resize the object. It make the objects larger or smaller.

It produces an image that is the same shape as the original, but is a different size.

This means, the original figure and the transformed figure would not be congruent.

Therefore, the statement 'When an object is dilated, the resulting image is congruent to the pre-image.' is False

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Answer:

X = - 84

Step-by-step explanation:

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

The estimated age of the archaeological sample  as calculated from the given data is  = 2622.58333 years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 73 % of the 14C remains

then |A1|/|A2|  = 0.73

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.73)= -0.00012t

t = -0.31471/ -0.00012

 = 2622.58333 years

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.

For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.

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Since the lengths of both diagonals are given by the square root of the sum of the squares of their coordinates, they have the same length. Therefore, the diagonals of a b c d are congruent.

Triangles with the same size, form, and arrangement are said to be congruent. This indicates that all three of the triangle' side lengths are congruent, or equal in size. Congruent triangles can be rotated or reversed, yet their congruence remains constant.

The Side-Side-Side (SSS) Congruence Postulate argues that if three sides of one triangle are identical in length to the corresponding sides of another triangle, the halves of are congruent.

If two angles and a side of one triangle are congruent to the corresponding angles and sides of another triangle, then the two triangles are congruent. As an alternative, one can apply the Angle-Side-Angle (ASA) Congruence Postulate.

How to solve?

The distance formula is given by d = √((x2 - x1)^2 + (y2 - y1)^2), where d is the distance between the two points, (x1, y1) and (x2, y2).

To find the length of diagonal a c, we plug in the coordinates of points a and c into the distance formula: d = √((c - 0)^2 + (d - 0)^2) = √(c^2 + d^2)

To find the length of diagonal b d, we plug in the coordinates of points b and d into the distance formula: d = √((a - 0)^2 + (b - 0)^2) = √(a^2 + b^2)

Since the lengths of both diagonals are given by the square root of the sum of the squares of their coordinates, they have the same length. Therefore, the diagonals of a b c d are congruent.

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The actual dimensions of Abigail's house are 18 ft by 20 ft.

Abigail's house is represented by a scale drawing with dimensions of 9 cm by 10 cm. We are told that 6 cm on the scale drawing equals 12 ft. To find the actual dimensions of Abigail's house, we need to determine the scale factor.

First, we calculate the scale factor by dividing the actual length (12 ft) by the corresponding length on the scale drawing (6 cm). The scale factor is 12 ft / 6 cm = 2 ft/cm.

Next, we can use the scale factor to find the actual dimensions of Abigail's house. We multiply each dimension on the scale drawing by the scale factor.

The actual length of Abigail's house is 9 cm * 2 ft/cm = 18 ft.
The actual width of Abigail's house is 10 cm * 2 ft/cm = 20 ft.

Therefore, the actual dimensions of Abigail's house are 18 ft by 20 ft.

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The expression that is equivalent to 4⁴·4⁻⁹ is found to be 4⁻⁵. Hence option D is correct.

When multiplying exponential expressions with the same base, you add their exponents.

So, 4⁴⋅4⁻⁹ can be written as:

4⁴⁻⁹ = 4⁻⁵

Now, we know that a negative exponent means taking the reciprocal of the base raised to the positive exponent. Therefore,

4⁻⁵ = 1/4⁵

So, the expression 4⁴⋅4⁻⁹ is equivalent to the fraction 1 over 4 to the power 5. Therefore, the answer is 4⁻⁵.

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Complete question - Which expression is equivalent to 4⁴·4⁻⁹?

A. 4^13

B. 4^5

C. 4^-13

D. 4^-5

Answer:

The hiking club's member count increased by 48%.

Step-by-step explanation:

We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or x, in this case.

\(25 + x = 37\\\\x = 12\)

The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.

\(\frac{12}{25} =0.48\\\\0.48 \times 100 = 48\%\)

Therefore, the club's member count increased by 48%.

Answer:

25+12=37

There would be 48%.

Answer:

l = 23-b

Step-by-step explanation:

Given that,

Area of a rectangular garden, A = 132 m²

The perimeter of a rectangle, P = 46 m

Let l and b are length and breadth respectively.

Area, A = lb

lb = 132 ...(1)

Permeter, P = 2(l+b)

2(l+b)=46

(l+b)=23

l=23-b ...(2)

Hence, equation (2) shows the expression representing the length in terms of its width.

The Height of the Building is 28.87 m .

in the question ,

it is given that

distance between P and Q \(=\) 20 m

From P the angle of elevation is 28°

and from Q the angle of elevation is 40°

From the figure

In triangle BAQ

tan40° = BA/AQ

tan40° = h/x

h = x * tan40°

In triangle BAP

tan28° = BA/AP

tan28° = h/(x+20)

h = (x+20) * tan28°

Equating both the h , we get

x * tan40° = (x+20) * tan28°

x* tan40° = x*tan28° + 20* tan28°

x*(tan40° - tan28°) = 20* tan28°

x*(0.840 - 0.531) = 20*(0.531)

x*(0.309) = 10.62

x = 10.62/0.309

x = 34.368

Substitute h = 34.368 in h = x * tan40°

we get ,

h = (34.368)*(0.840)

h = 28.8699

h = 28.87

Therefore , The Height of the Building is 28.87 m .

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The shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

The non-empty intersection of a solid body in three dimensions with a plane, or its equivalent in higher dimensions, is referred to as a cross section in geometry and science. Many parallel cross-sections are produced when an object is sliced. The boundary of a cross-section in three dimensions that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line.

A triangle-shaped pyramid essentially has a triangle-shaped base. The cross section formed when an imaginary line is produced to cut through perpendicular to the base will still have a triangular orientation, but it will be smaller than it was when the pyramid's original triangular orientation or sides were there.

Therefore, the shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

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Answer:

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

A particular plant root grows 2.5 inches per month.  The plant root is growing at a rate of 2.5 inches per month.

The given information states that the plant root grows at a rate of 2.5 inches per month. This means that for each month that passes, the length of the plant root increases by 2.5 inches.
The rate of growth per month indicates how much the plant root is extending in length within a specific time frame. In this case, the rate of growth is constant at 2.5 inches per month, implying that the plant root consistently adds 2.5 inches to its length every month.
This growth rate can be visualized as a linear relationship, where the length of the plant root increases by 2.5 inches for each unit of time (month) that passes. The consistent growth rate of 2.5 inches per month allows us to predict the future length of the plant root based on the number of months elapsed.

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