A cone has a height of 7 meters and a radius of 4 meters. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

The matrix obtained by expressing the columns of X in the B-coordinates and then converting them to the E-coordinates using the change of coordinate matrix Y is equal to the product of \(Y^{-1}\), X, and Y.

Now let's explain the proof in detail. We start with the matrix X = [v1 · · · vn]E, where [v1 · · · vn] represents the matrix formed by the columns v1, v2, ..., vn. To express X in the B-coordinates, we multiply it by the change of coordinate matrix Y, resulting in X = Y[[X v1]B · · · X vn]B].

Now, to convert the B-coordinates back to the E-coordinates, we multiply X by the inverse of the change of coordinate matrix Y, yielding Y^(-1)X = [[X v1]B · · · X vn]B].

Hence, we have shown that [[X v1]B · · · X vn]B] = Y^(-1)XY, proving the desired result.

This result is significant in linear algebra as it demonstrates how to transform a matrix between different coordinate systems using change of coordinate matrices. It highlights the importance of basis transformations and provides a useful formula for performing such transformations efficiently.

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Answer:

32

is the answer I got

Step-by-step explanation:

2+2=4

4+4=8

8+8=16

16+16=32

Answer:45,311

45,301+10=45,311

I hope this is good enough:

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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we remove the parenthesis and add the number that have the same exponent

Answer:

3 fifths

3/5

Step-by-step explanation:

For example: If Joe has 5 pizzas, and he ate 3, how many pizzas are left?

The pizzas left are 2, so if he ate 3, He ate 3 out of 5 pizzas.

Happy to help!

Hope this helped.

The answer is 1.1772

Answer:

1.1772 is the single decal multiplier which should be used.

Step-by-step explanation:

Let the initial value be X.

After 8% increase, the value is =((100+8) /100) ×X = 1.08X.

Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.

This single decimal multiplier which should be used is 1.1772

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

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Answer:

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

Each triangle face has height of 7 ft and base of 0.6 ft and the base of the pyramid is the square with side of 0.6 ft.

Total surface area includes a square base and four triangular faces and the measure of it is:

The matching choice is B.

Answer:

its B

Step-by-step explanation:

Answer:that’s easy

Step-by-step explanation:-3x+4=1x because first you put the higher number first and then you subtracted which is 1x. Hoped it work.

Answer:

Slope:  − 3

y-intercept:  ( 0 , 4 )

x     y

0     4

4 /3  0

Step-by-step explanation:

To predict the number of times Xavier selects a green or yellow ball, we need to calculate the probability of selecting a green or yellow ball in one trial and then multiply that by the total number of trials (1,200).

The probability of selecting a green ball in one trial is 17/50 and the probability of selecting a yellow ball in one trial is 13/50.

Therefore, the probability of selecting a green or yellow ball in one trial is (17/50) + (13/50) = 30/50.

To find the expected number of times Xavier selects a green or yellow ball,

we multiply the probability of selecting a green or yellow ball in one trial (30/50) by the total number of trials (1,200):

(30/50) x 1,200 = 720

Therefore, we can predict that Xavier will select a green or yellow ball approximately 720 times out of 1,200 trials.

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Answer:

29.49 square inches

Step-by-step explanation:

Let the length of the rectangle be x inches

Therefore, width = (2x - 7) inches

Perimeter of rectangle =2( length + width)

therefore,

43.6 = 2 ( x + 2x - 7)

43.6/2 = 2 ( 3x - 7)

21.8 = 6x - 14

21.8 + 14 = 6x

6x = 35.8

x = 35.8/6

x = 5.97 inches

Length = 5.97 inches

width = 2*5.97-7 =11.94 - 7 = 4. 94 inches

Area of rectangle

= Length * width

= 5.97*4.94

=29.4918

= 29.49 square inches

Answer:

Additive inverse: a+(-a)=0

Additive identity: a+0=a

Multiplicative inverse: a•1/a=1

Multiplicative identity: a•1=a

Step-by-step explanation:

Answer:

the answer is 6 ___________________________

The equation of the table is y=5x where 5 is the slope

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = 45-40/9-8

=5/1

Now let us find the y interept by taking an ordered pair (8, 40)

40 = 5(8)+b

b=0

So the equation of the table is y=5x

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Let's see

seven eighths means 7/8

So

Forty two eighths

Answer:

6.998 rounded to 7.00

Step-by-step explanation:

The pmf of X is P(X=k) = a(1-a)^(k-1) and the pmf of Y is P(Y=k) = B(1-B)^(k-1). The convolution of their marginal distributions is obtained by summing the products of corresponding probabilities, i.e., P(Z=z) = Σ P(X=k)P(Y=z-k) for all possible values of k.

1. In the first scenario, where X and Y are independent random variables with identical geometric distributions, we can find the convolution of their marginal distributions.

2. The geometric distribution is characterized by the probability mass function (pmf) P(X=k) = p(1-p)^(k-1), where p is the probability of success on each trial. Since X and Y have identical distributions, we can write the pmf of X as P(X=k) = p(1-p)^(k-1) and the pmf of Y as P(Y=k) = p(1-p)^(k-1).

3. To find the convolution of their marginal distributions, we convolve their pmfs by taking the sum of the products of corresponding probabilities. Let Z = X + Y be the sum of X and Y. The convolution of their marginal distributions is given by P(Z=z) = Σ P(X=k)P(Y=z-k) for all possible values of k.

4. In the second scenario, where X and Y have geometric distributions with different parameters, Geo(a) and Geo(B), the convolution of their marginal distributions follows a similar approach. The pmf of X is P(X=k) = a(1-a)^(k-1) and the pmf of Y is P(Y=k) = B(1-B)^(k-1). The convolution of their marginal distributions is obtained by summing the products of corresponding probabilities, i.e., P(Z=z) = Σ P(X=k)P(Y=z-k) for all possible values of k.

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Answer:

L = Length.

W = Width.

A = Area

First Interpretation.

L – 4 = W------(i)

2nd Interpretation

L x W = 32 -----(ii)

Since Area of a Rectangle = LxW

Substituting eqn (i) into eqn (ii)

L x ( L – 4) = 32

L² – 4L = 32

L² – 4L – 32 = 0

Solving Quadratically.

L = 8 or –4

The dimension of Length can't be negative in this case.

So we go with L= 8

W = L – 4

W = 8 – 4

W = 4

L x W = 32

4 x 8 = 32.

Note.

The 2nd value of L can also give this value.

Have a look.

L = –4

W = L – 4

W = –4 –4 = –8

L x W = –4 x –8 = 32.

But I'd go with the Positive L value.

Unless you're asked to state all Possible values of L and W.

Have a great day :)

A ∪ B is a subset of B.

Suppose A and B are any sets and A ⊆ B. [We must show that A ∪ B ⊆ B].

Let x ∈ [A ∪ B]. [We must show that x ∈ B].

By definition of union, x ∈ [A] ∨ x ∈ [B].

In case x∈ [A], then since A ⊆ B, x ∈ [B].

In case x ∈ B, then clearly x ∈ B. So in either case, x ∈ [B] [as was to be shown].

We have considered the following points in the above proof:

Suppose A and B are any sets and A ⊆ B: Given that A is a subset of B.

Let x ∈ [A ∪ B]: We take an element x such that it belongs to the union of A and B. [We must show that x ∈ B]:

We need to prove that the given element x belongs to set B, which means we have to prove x ∈ [B].

By definition of union, x ∈ [A] ∨ x ∈ [B]: Union of A and B denotes a set containing elements of both A and B. This implies that x belongs to either A or B.

In case x∈ [A], then since A ⊆ B, x ∈ [B]: As A is a subset of B, if an element x belongs to set A, then it must also belong to B.

In case x ∈ B, then clearly x ∈ B: An element x belongs to B, it is already a part of set B.

So in either case, x ∈ [B] [as was to be shown]:

Thus, if the element x belongs to either set A or B, then it is a part of set B.

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it will cost #150 to have a party with 9 people, and it will cost #260 to have a party with 20 people

Graph is attached:

What is Piecewise function?

A piecewise function is used to relate multiple functions at different intervals

The cost for 9 people

This means that:

n=9

When n = 9, the cost function is:

C(9)=150

Hence, it will cost #150 to have a party with 9 people

The cost for 20 people

This means that:

n=20

When n = 20, the cost function is:

C(20)=260

Hence, it will cost #260 to have a party with 20 people

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Answer:

The difference is 6.74 * 10^-3 centimeters

Step-by-step explanation:

Firstly, we need to write the numbers as they would occur normally

we have this as;

7.65 * 10^-3 = 0.00765

9.1 * 10^-4 = 0.00091

So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number

we have this as;

0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters

Answer:

Given the data provided, we can use the T-84 calculator to calculate the regression equation. The calculator can perform the necessary calculations, such as finding the least squares estimates of b0 and b1, based on the provided data points. By inputting the trunk circumference values as the independent variable and the corresponding height values as the dependent variable, the T-84 calculator can determine the best-fit line and provide the regression equation that predicts the height of a Eucalyptus tree based on its trunk circumference at breast height.

Step-by-step explanation:

(a) To determine the linear regression model that will best predict the height of a Eucalyptus tree based on its trunk circumference at breast height, we can calculate the regression equation.

The regression equation can be expressed as:

Height = b0 + b1 * Circumference

Where Height is the dependent variable (predicted height of the tree) and Circumference is the independent variable (trunk circumference at breast height). b0 represents the y-intercept and b1 represents the slope of the regression line.

To calculate the regression equation, we need to find the values of b0 and b1. These can be determined using statistical software, such as the T-84 calculator, or by performing regression calculations manually.

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Answer:

all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Triangles.

1.) Sin x = 20/36 , hence x° = 33.74

2.) Sin n = 35/51, hence n° = 43.33

3.) Cos z = 18/21 , hence z° = 31.00

4.) Tan w = 15/6 , hence w° = 0.04

To find out the percent change in profit between the two years, you need to use the percent change formula, which is given as: Percentage Change = (New Value − Old Value) / Old Value × 100Where Old Value = Profit of the previous year = birr 880,000New Value = Profit of this year = birr 970,000Now we will substitute these values in the formula and solve for the percentage change:

Percentage Change = (New Value − Old Value) / Old Value × 100Percentage Change = (970,000 − 880,000) / 880,000 × 100Percentage Change = 90,000 / 880,000 × 100Percentage Change = 0.102 × 100Percentage Change = 10.2%Therefore, the percentage change in profit between the two years is 10.2%. The company earned 10.2% more profit this year than last year.

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your Answer is going to be 13/25

Answer:

x r 1.26 cm

Step-by-step explanation:

This can easily be solved by congruence.

Both triangles have the same proportions.

9.8 : 8.8 = (2 + 9.2) : (x + 8.8)

Because these are proportional, we can use and write this as if they were fractions.

9.8 / 8.8 = (2 + 9.2) / (x + 8.8)

multiply crosswise, gives:

9.8 * (x + 8.8) = (2 + 9.2) * 8.8

9.8 * x + 9.8 * 8.8 = (11.2) * 8.8

9.8 * x + 86.24 = 98.56

9.8 * x = 98.56 - 86.24

9.8 * x = 12.32

Divide left and right of the = sign by 9.8 gives,

x = 12.32 / 9.8

x = 1.2(571428)

x = 1.26 cm