What shape is the base of a pentagonal pyramid ?

Answer:

The answer is 7/24

Step-by-step explanation:

The confidence interval of 46.5% ± 8.6% is (37.9%, 55.1%).

The given confidence interval is 46.5% ± 8.6%.

We need to convert this interval into decimal format.

Therefore, the lower limit of the interval is 46.5% - 8.6% = 37.9%

The upper limit of the interval is 46.5% + 8.6% = 55.1%

Thus, the confidence interval in decimal format is (0.379, 0.551).

Hence, the answer is (37.9%, 55.1%) in decimal format.

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Answer:

c

Step-by-step explanation:

The evaluated value of the triple integral is 7/120.

To rewrite the triple integral in the order dy dx dz, we need to reverse the order of integration. Therefore, the new integral becomes:

∫∫∫z dz dy dx

The limits of integration for each variable are as follows:

z: 0 to √(1 - x²)

y: 0 to x

x: 0 to 1

Now we can evaluate the triple integral in the order dy dx dz:

∫∫∫z dz dy dx = ∫∫[\(z^{2/2}\)] dy dx

= ∫[∫[\(z^{2/2}\)] dy] dx

= ∫[∫[x\(z^{2/2}\)] from y=0 to y=x] dx

= ∫[∫[(x(\(\sqrt(1 - x^2))^2)/2\)] from y=0 to y=x] dx

= ∫[∫[\((x*(1 - x^2))/2\)] from y=0 to y=x] dx

= ∫[∫[\((x - x^3)/2\)] from y=0 to y=x] dx

= ∫[(∫[(\(x - x^3)/2\)] from y=0 to y=x)] dx

= ∫[\((x^2/2 - x^4/4)/2\)] dx

= ∫[\((2x^2 - x^4)/8\)] dx

= (1/8)∫[\(2x^2 - x^4\)] dx

= (1/8) [\((2/3)x^3 - (1/5)x^5\)] from 0 to 1

= (1/8) [((2/3) - (1/5)) - (0 - 0)]

= (1/8) [(10/15) - (3/15)]

= (1/8) (7/15)

= 7/120

= 7/120

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The eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

An eigenvector is a non-zero vector that, when multiplied by a matrix, results in a scalar multiple of itself. In other words, if A is a square matrix and v is an eigenvector of A, then Av = λv, where λ is the eigenvalue associated with v.

Given the eigenvalues and eigenvectors for matrix A as λ1 = 2, v1 = [-5 1]ᵀ and λ2 = 6, v2 = [5 4]ᵀ, we can say that:

- Av1 = λ1v1 = 2[-5 1]ᵀ = [-10 2]ᵀ
- Av2 = λ2v2 = 6[5 4]ᵀ = [30 24]ᵀ

Therefore, the eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

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Answer:

Yes L is parallel to M because they are going the same direction on the graph.

Answer:

32,058,508 bacteria at 10:42am

Step-by-step explanation:

10am: 8,014,627

10:21: 8,014,627 × 2 (doubled) = 16,029,254

10:42: 16,029,254 × 2 (doubled) = 32,058,508

There are a total of 70 lattice paths that start at (2, 2) and end at (10, 10).

To find the number of lattice paths between two points, you can use the formula:
n! / (k! * (n-k)!)
In this case, the total number of steps needed to get from (2, 2) to (10, 10) is 8 steps to the right and 8 steps up, for a total of 16 steps. So n = 16.

The number of steps in one direction (either right or up) is 8, so k = 8.
Plug in these values to the formula:
16! / (8! * (16-8)!)
= 16! / (8! * 8!)
= 20922789888000 / 40320 * 40320
= 70

So there are 70 lattice paths between (2, 2) and (10, 10).
I hope this helps! Let me know if you have any further questions.

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An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

We can say that an expression is a random combination of numbers, variables, functions, etc.

For example, 3x - 2 is an expression.

While on the other hand, an equation means that two different expressions are connected to each other by an equal sign in between, For example, 3x - 2 = 5 + x is an equation.

Based on the above examples, we can say that:

An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

Therefore, An example of an equation is 4.5 x = 13.2 because it shows that two expressions are equal.

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Answer:

\(x=-1.25y-3.75\)

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

Moving 4 to the right on the x axis

Step-by-step explanation:

Answer:

A. 6/3=4/a

B. 6/4=3/a

Step-by-step explanation:

I just did it and got it right

Two or more expressions with an Equal sign is called as Equation.

6/3=4/a is the correct equation of the scaled figures

Two or more expressions with an Equal sign is called as Equation.

Given that,

f ​is a scaled copy of Figure e

The process of increasing or decreasing a figure with a factor is called as scaling.

Given that segment AB=6

CD=3

XY=4

ZW=a

Figure e is decreased to produce figure f, hence:

AB/XY = CD / WZ

Six divided by four equal to three divided by a

6/4=3/a

Six divided by three equal to four by a

6/3=4/a

Hence 6/3=4/a is the correct equation of the scaled figures

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Answer:

m =  7cm

Step-by-step explanation:

Perimeter of a triangle is all the sides added up, so a+ b + c.

Given that a= 6 and b= 6, that's 12cm together. So just subtract the perimeter 19cm by 12cm to get your answer of 7cm.

Answer: In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.

Hence,

4^2=3 x a,

a=16/3 un.

Answer:

-4/7, 1/19, 7/4

Step-by-step explanation:

-4/7 is less then zero, and the only negative number so it is first

1/19 is the second lowest

7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)

The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Camilla borrows a book from the library for d days.

The library charges a late fee 0.10 dollars per day that the book is late.

If Camilla returns the book more than 21 days after she borrowed it.

Then the expression will be 0.10d.

The total amount is given as

Total amount = 0.10 d

Total amount = 0.10 x 21

Total amount = $2.1

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define inverse operations

An inverse operation reverses the effect of the first operation.

Hence, Addition and subtraction are inverse operations.

=======================================================

Explanation:

The angles (2x+24) and x are same side interior angles. Same side interior angles are supplementary when we have parallel lines.

(2x+24) + (x) = 180

2x+24+x = 180

3x+24 = 180

3x = 180-24

3x = 156

x = 156/3

x = 52

Answer:

x=0

Step-by-step explanation:

ax^2 =0

that means x^2=0

so, x = 0

Answer:

x = 0

Step-by-step explanation:

Answer:

The asnwer is no it's not irrational

Step-by-step explanation:

It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. The square root of 3 is an irrational number.

To solve the problem, we can use the simple interest formula:

Interest = (Principal x Rate x Time)

Where:

- Principal = $4,000

- Rate = 6 ¾% = 0.0675

- Time = 1 year

Plugging these values into the formula, we get:

Interest = ($4,000 x 0.0675 x 1) = $270

So Sally earns $270 in interest over one year. To find her balance after one year, we simply add the interest to the principal:

Balance = Principal + Interest

Balance = $4,000 + $270

Balance = $4,270

Answer:

areas of AXYZ=10 square units1

Answer:

10 units squared

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Use the distance between two points formula to find the measure of the height and base of ΔXYZ.

Distance between two points

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}\)

Height of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf height & =\sqrt{(4-2)^2+(5-1)^2}\\& = \sqrt{2^2+4^2}\\& = \sqrt{20}\end{aligned}\)

Base of Triangle

Define the points:

Substitute the points into the distance formula to find the height of the triangle:

\(\begin{aligned}\implies \sf base & =\sqrt{(4-0)^2+(0-2)^2}\\& = \sqrt{4^2+(-2)^2}\\& = \sqrt{20}\end{aligned}\)

Area of Triangle

\(\begin{aligned}\implies \sf Area & = \dfrac{1}{2} \times \sf base \times height\\& = \dfrac{1}{2}\sqrt{20}\sqrt{20}\\& = \dfrac{1}{2}(20)\\& = 10 \sf \:\:units^2 \end{aligned}\)