Only need answer A answered please

The hierarchical database model is based on a tree structure, where data is organized in a parent-child relationship. Each parent segment can have multiple child segments, but each child segment has only one parent.

In this model, data access is typically navigated from the top-level parent segment to its child segments in a hierarchical manner. The parent-child relationships provide a clear structure for organizing and representing data. However, it also means that a lack of a parent segment or a child segment is not allowed in this model.

Compared to a matrix structure, where segments can have relationships with multiple other segments, the hierarchical model is more rigid in its one-to-many relationship between parent and child segments.

However, it may pose challenges when dealing with complex or interrelated data that doesn't fit neatly into a hierarchical structure.

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Answer:

102° is the value of x

Step-by-step explanation:

A = 78°

B = x

C = 78°

D = x

All angles of parallelogram = 360°

→ A + B + C + D = 360°

→ 78° + x + 78° + x = 360°

→ 156 °+ 2x = 360°

→ 2x = 360° - 156°

→ x = 204/2

→ [ x = 102° ]

Hence, the value of x is 102°.

In a case whereby the diameter of a circle is 2 miles the circle's circumference is 6.28 miles.

The circumference of a circle is the distance around the outside edge of the circle. It is calculated using the formula C = 2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle (the distance from the center of the circle to any point on the edge).

Given that the diameter of a circle= 2 miles

circumference of a circle can be calculated as  C=2πr where π= 3.142

but d=2r , where d= 2mile

2=2r

r= 2/2= 1 ( radius =1mile)

C=2πr = 2* 3.142 * 1

=6.28 miles

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Answer: 89 mm^2; Option 1

Step-by-step explanation: Solve the area of the largest rectangle by multiplying 7 and 8. That equals 56. Then do 4 times six to get the area of the medium rectangle and thats 24. Do the same thing with the small square and you get nine. Add them up to get 89.

The rate of the car is 55 miles per hour.

Let's break down the information given:

- The first car left the house at 10 am and traveled north.

- The second car left the house two hours later, which means it departed at 12 pm, and traveled south.

- Both cars traveled at the same rate.

- At 4 pm, the cars were 550 miles apart.

To solve for the rate of each car, we need to determine the total time each car traveled.

For the first car:

It traveled from 10 am to 4 pm, which is a total of 6 hours.

For the second car:

It traveled from 12 pm to 4 pm, which is a total of 4 hours.

Now, let's calculate the rate of each car using the formula: Rate = Distance / Time.

Let's assume the rate for both cars is represented by "r".

For the first car:

Distance = r * 6 hours.

For the second car:

Distance = r * 4 hours.

The sum of the distances traveled by both cars is equal to the total distance between them:

(r * 6) + (r * 4) = 550 miles.

Simplifying the equation:

10r = 550.

Dividing both sides by 10:

r = 55.

Therefore, the rate of each car is 55 miles per hour.

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Mark has 20 marbles to sell, and Don has 82 marbles to sell.

To determine the number of marbles each boy has to sell, we can set up a system of equations based on the given information. Let's represent the number of marbles Mark has as "m" and the number of marbles Don has as "d". We know that the total number of marbles is 102, and Don has 2 more than 4 times the number of marbles Mark has. By solving this system of equations, we can find the values for "m" and "d".
Let's set up the equations based on the given information:
1. m + d = 102 (equation representing the total number of marbles)
2. d = 4m + 2 (equation representing Don's number of marbles in terms of Mark's number of marbles)
We can solve this system of equations by substitution or elimination. Let's use substitution:
Substitute equation 2 into equation 1:
m + (4m + 2) = 102
5m + 2 = 102
5m = 100
m = 20
Substitute the value of m back into equation 2 to find d:
d = 4(20) + 2
d = 82
Therefore, Mark has 20 marbles to sell, and Don has 82 marbles to sell.

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Answer:

t = 0

Step-by-step explanation:

28 = 4t + 28

Take away 28 from both sides to make 4t by itself

28 - 28= 4t + 28 - 28

0 = 4t

Divide both sides by 4 to make t on its own

t = 0

Answer: t=0

Step-b y-step explanation: because you need to get rid of 28 so when you subtract 28 from both sides you have 4t, when you divide 4 by 0 it is just 0 which leaves you with t=0

Okay, here we have this:

Considering the provided information, and figures, we are going to find the requested length, so we obtain the following:

Let us remember that if two figures are proportional, then they are proportional between corresponding segments, therefore we have:

Finally we obtain that the measure of PS is 21 units.

A. \(\bold{\boxed{\green{2^{12}}}}\)

Answer:

Solution given:

\(2^6 x (2^2)^3\)

we know that

product of power and power is added and power to power is multiplied for same base only.

I.E.

product of same base but different power:\(a^b+a^c=a^(b+c)\)

power to power :\( (a^b)^c=a^(b*c)\)

By using above property

\(2^6+2^{2*3}\)

\( 2^6+2^6\)

\(2^{[6+6]}=2^{12}\)

Answer:

the answer is 1 if i read this right

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

First Multiply and Divide (left to right)

3 divide by 1/3

Convert the element into a fraction:

=3/1 divided by 1/3

Apply the fraction rule:

=3/1 * 3/1

Apply rule a/1:

=3*3

Multiply the numbers: 3*3=9

=9

=9-9+1

Add and subtract (left to right):

9-9+1

9-9=0

=0+1

0+1=1

=1

The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.

The AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.

By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.

In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.

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The maximum error in the volume of the box using differentials is approximately 3.6 ft³.

Using differentials, we can estimate the maximum error in the volume of the box. Given the dimensions and errors, we have:

Length (L) = 3 ft, Error in Length (ΔL) = ±0.1 ft
Width (W) = 2 ft, Error in Width (ΔW) = ±0.1 ft
Height (H) = 6 ft, Error in Height (ΔH) = ±0.1 ft

The volume of the box (V) is given by V = L × W × H. To find the maximum error in volume (ΔV), we'll use differentials:

dV = (∂V/∂L) dL + (∂V/∂W) dW + (∂V/∂H) dH

Taking the partial derivatives, we get:

∂V/∂L = W × H, ∂V/∂W = L × H, and ∂V/∂H = L × W

Plugging in the values and errors:

dV = (2 × 6) (±0.1) + (3 × 6) (±0.1) + (3 × 2) (±0.1)

dV = 12(±0.1) + 18(±0.1) + 6(±0.1)

dV = ±1.2 + ±1.8 + ±0.6

To find the maximum error, we'll add the absolute values:

ΔV = 1.2 + 1.8 + 0.6 = 3.6 ft³

Therefore, the maximum error in the volume of the box using differentials is approximately 3.6 ft³.

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a. The appropriate model for this problem is the Poisson distribution because it's model  the number of rare events occurring in a fixed interval of time or space.

b.  Using the model  the probability that there will be no episodes in this period is 0.82%.

c. Using the model,  the probability that there are more than three episodes in this period is  70.57%.

(a) The appropriate model for this problem is the Poisson distribution, which models the number of rare events occurring in a fixed interval of time or space. The conditions for a Poisson distribution are:

In this case, we are interested in the number of volcanic episodes occurring in a 2-year period, which is a fixed interval of time. The events are rare and independent of each other, and the average rate of events is given as 2.4 per year. Therefore, the Poisson distribution is appropriate for modeling X.

The parameter value for the Poisson distribution is λ, the average rate of events per unit of time or space. In this case, λ = 2.4 x 2 = 4.8 for the 2-year period.

(b) The probability that there will be no episodes in this period is given by the Poisson probability mass function:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.8) * 4.8^0 / 0! = 0.0082 (rounded to four decimal places)

Therefore, the probability that there will be no episodes in the 2008-2009 period is approximately 0.0082, or 0.82%.

(c) The probability that there are more than three episodes in this period is given by the complement of the probability that there are three or fewer episodes:

P(X > 3) = 1 - P(X ≤ 3)

We can use the Poisson cumulative distribution function to calculate P(X ≤ 3):

P(X ≤ 3) = Σ(e^(-λ) * λ^k / k!) for k = 0 to 3

P(X ≤ 3) = e^(-4.8) * (4.8^0 / 0! + 4.8^1 / 1! + 4.8^2 / 2! + 4.8^3 / 3!)

P(X ≤ 3) = 0.2943 (rounded to four decimal places)

Therefore, P(X > 3) = 1 - P(X ≤ 3) = 1 - 0.2943 = 0.7057 (rounded to four decimal places)

Therefore, the probability that there are more than three episodes in the 2008-2009 period is approximately 0.7057, or 70.57%.

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The total amount when $9500 is invested at 10% simple interest for 5 years is $14, 250

It is important to note that the formula for simple interest is expressed mathematically with the equation;

I = PRT/100

The parameters are given;

From the information given, we have the values of the principal amount, time and the interest rate

Substitute the values, we get;

Simple interest, I = $9500 × 10×5/100

Multiply the values

Simple interest, I = $475, 000/100

Divide the values

Simple interest, I = $4, 750

Thus, the total amount is $14, 250

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The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

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Terry's starting elevation is 3000 feet, and it is decreasing at a rate of 90 feet per second.

The given function e(t) = 3000 - 90t describes Terry's elevation, in feet, as a function of time, in seconds.

The function has a slope of -90, which represents the rate of change of elevation with respect to time. This means that Terry's elevation is decreasing at a constant rate of 90 feet per second.

The initial elevation, or starting point, is given by the y-intercept of the function, which is 3000 feet. This means that Terry began skiing from an elevation of 3000 feet.

As time passes, Terry's elevation decreases linearly, with a constant rate of 90 feet per second. This linear relationship between time and elevation can be used to predict Terry's elevation at any given time during the descent.

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The table for the function f(x) = 0.2(x^4 + 4x^3 - 16x - 16) + 5 is as follows:

x        f(x)

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

-3      -20.000

-2      -17.200

-1      -14.800

0       -15.000

1       -14.800

2       -12.200

3        -7.000

Here is the graph of the function:

[Insert the graph image of the function f(x)]

The table shows the values of x and the corresponding values of f(x) obtained by evaluating the given function at those points. By substituting the values of x into the function expression and performing the necessary calculations, we obtain the respective values of f(x).

The graph of the function visually represents the behavior of f(x) across the given range. It helps visualize how the function values change as x varies. The graph can be plotted using graphing technology like Desmos or other graphing software. By plotting the points obtained from the table, we can observe the shape and characteristics of the function f(x), including any critical points, peaks, or valleys.

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The value of y in the given figure is 108°.

The angles formed by a transversal line on the same side and position of the line, if lines are parallel then the corresponding angle are congruent.

Given is a figure, where two line AB and CD are being intersected by a transversal FE,

Let FE intersects AB and CD at P and O, respectively, (refer to the figure attached)

Since, AB ║ CD

Therefore, ∠ FPB  ≅ ∠ POD by the definition of corresponding angles,

2x+16 = 3x-12

x = 28

∠ POD = 28×3-12 = 72°

∠ POD and ∠ EOD are forming linear pair and therefore are supplementary,

∠ POD + y = 180°

72° + y =180°

y = 180°-72°

y = 108°

Hence, y = 108°

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Since the park is isosceles trapezoid-shaped, the two sides, AB and CD, that make up the parallel sides of the trapezoid are of equal length.

An isosceles triangle is a type of triangle with two sides of equal length. It has two equal angles opposite of the two equal sides, and the third angle is usually different. Isosceles triangles are named after the Greek term isoskelēs, which means “equal legs”. They are very common in geometry and are used in many applications, including architecture and engineering.

We can then use the midpoints of the adjacent sides of the trapezoid, E and F, to form a rhombus. Since the rhombus is formed from the midpoints of the two parallel sides, we know that the two sides AE and CF of the rhombus are of equal length. Similarly, the two sides BE and FD of the rhombus are also equal in length. This means that the trail, if constructed in the shape of the rhombus, will have all sides of equal length, satisfying the criteria set by the Parks Commission.

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The cone's surface area increases more by doubling the radius. Option A is the correct.

What is slant height?

The distance from the vertex to the edge of the cone's circular base is its slant height. The vertical height of a cone is measured from its vertex to its circular base's center. The following is the formula to determine the cone's slant height: Slant height of the cone, L = √(h²+r²).

Given that a cone has a radius of 3.2 m and a slant height of 8.4 m.

The surface area of a cone is πr (r + l).

Case I: Doubling the radius

The radius of the cone is (3.2 m × 2) = 6.4 m.

The slant height is 8.4 m.

The surface area of a cone is  π×6.4 (6.4 + 8.4) = 94.72π m².

Case II: Doubling the slant height

The radius of the cone is 3.2 m

The slant height is (8.4 m × 2) = 16.8 m.

The surface area of a cone is  π×3.2 (3.2 + 16.8) = 64π m².

The cone's surface area increases more by doubling the radius than by doubling the slant height.

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Answer:

x= 8 km

Step-by-step explanation:

measurement used:

When getting measurement the missing side occupies 1 more than a half of 15km

Answer:

x = 8km

Step-by-step explanation:

Use Pythagorean Theorem:

c2 = a2 + b2

In the diagram given, the hypotenuse (c) is 17 so substitute these values into the equation

17^2 = x^2 + 15^2

Take 15 to the power 2, to the other side.

17^2 - 15^2 = x^2

Solve to get

64 = x2

Square root both sides so

x = 8

Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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Answer:

$ 4.19

Step-by-step explanation:

$3.99 + 0.15 - 0.20 + 0.25 = $4.19

Answer:

32 A becuz ur h a y and u are smart

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.