Which of the following shows the correct order of the given numbers?


1 5/8, 1 3/10, 1.6

1.6, < 1, 5/8 < 1 3/10

1 3/10 < 1.6 < 1 5/8

1 5/8 < 1 3/10 < 1.6

Answer:

7428.40

Step-by-step explanation:

Answer:

Yeah I will try to help.

The height of the pyramid is 11 units.

What is a triangular pyramid?

A tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The simplest regular convex polyhedron is the tetrahedron.

Here, we have

Given: The volume of a triangular pyramid is 99 units³. If the base and height of the triangle that forms its base are 9 units and 6 units respectively.

We have to find the height of the pyramid.

The area of the triangular base = (9×6)/2

= 54/2 units

= 27units

The volume of the pyramid with a triangular base = 27units³ = area of base × height/3, or the height of the pyramid.

= 99×3/27

= 11 units

Hence,  the height of the pyramid is 11 units.

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The total land area of Edgardo's property is 36,400 square meters.

The area is a measure of the amount of two-dimensional space that a flat surface or shape occupies. It is a fundamental concept in geometry and is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²).

Edgardo's original rectangular lot has an area of:

140 m x 120 m = 16,800 m²

The square lot he purchased has an area of:

140 m x 140 m = 19,600 m²

To find the total land area of Edgardo's property, we add the areas of the two lots:

16,800 m² + 19,600 m² = 36,400 m²

Therefore, the property owned by Edgardo has a total land size of 36,400 square meters.

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Answer:

Add

5

5

5

to both sides of the equation

2

−

5

=

1

1

2

−

5

+

5

=

1

1

+

5

2

Simplify

Add the numbers

Add the numbers

2

=

1

6

3

Divide both sides of the equation by the same term

2

=

1

6

2

2

=

1

6

2

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=8

Solution

=8

Step-by-step explanation:

a) The volume of the box (in cubic inches) when the cutout length is 0.8 inches can be represented using function notation as f(0.8).

b) The volume of the box (in cubic inches) when the cutout length is 1.2 inches can be represented using function notation as f(1.2).

c) The change in volume of the box (in cubic inches) when the cutout length increases from 0.8 inches to 1.2 inches can be represented using function notation as f(1.2) - f(0.8).

d) The change in volume of the box (in cubic inches) when the cutout length increases from 5.6 inches to 5.7 inches can be represented using function notation as f(5.7) - f(5.6).

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Answer:

-1

Step-by-step explanation:

6(x) - (3y + 7) - xy

6(5) - (3(3) + 7) - (5)(3)

30 - (9+7) - 15

30 - 16 - 15

-1

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

1. replace all the variables with the values it gives you-

6(5) - [ 3(3) + 7] - (5)x(3)

2. then if you combine everything using pemdas-

30 - (9 + 7) - 15

3. repeat step #2-

30 - 16 - 15

4. then solve-

30 - 16 = 14 then subtract 15 to give you -1

Answer:

153.86 square centimeters

Step-by-step explanation:

area of a circle is a = (pi)r^2

the diameter is 2 times the radius so the radius is 7

7^7 is 49 and then multiply it by pi or 3.14

49*3.14 = 153.86

Answer:

153.86 square centimeters

Step-by-step explanation:

Area of a circle is given by the equation \(\pi\)\(r^2\)

With diameter of 14, your radius is 7

Area=\(\pi (7^2)\)

=\(49\pi\)

=\(49(3.14)\)

=153.86

To fly directly to the field, the crew should fly in a direction of approximately 7.3 degrees south of east. The crew should fly approximately 230.45 miles directly to the field.

To solve this problem using components, we can break down the initial and final displacements into their x and y components.

In the initial leg, the plane flies 220 miles north of east. This can be represented as a displacement vector with an x-component of 220*cos(45°) = 155.56 miles (eastward) and a y-component of 220*sin(45°) = 155.56 miles (northward).

In the second leg, the plane changes direction to 54.0 degrees south of east and flies 124 miles. We can represent this displacement as a vector with an x-component of 124*cos(54°) ≈ 65.17 miles (eastward) and a y-component of -124*sin(54°) ≈ -97.53 miles (southward).

To find the resultant displacement vector, we can add the x-components and y-components separately. Adding the x-components, we get 155.56 miles + 65.17 miles = 220.73 miles (eastward). Adding the y-components, we get 155.56 miles - 97.53 miles = 58.03 miles (northward).

Therefore, the plane's resultant displacement from its initial position is approximately 220.73 miles eastward and 58.03 miles northward.

To determine the direction to fly directly to the field, we can use trigonometry. The angle can be calculated as arctan(y-component/x-component) = arctan(58.03/220.73) ≈ 7.3° south of east.

In terms of the distance the crew should fly directly to the field, we can use the Pythagorean theorem to calculate the magnitude of the resultant displacement. The magnitude is given by the square root of the sum of the squares of the x and y components: sqrt((220.73 miles)^2 + (58.03 miles)^2) ≈ 230.45 miles.

Therefore, the crew should fly approximately 230.45 miles directly to the field.

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Answer:

your answer is, C) c and d.

Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

Answer:

id

Step-by-step explanation:

Answer:

162 pups are on the beach

Step-by-step explanation:

9/20 of 360

The key word "of" tells us to multiply

Variable x = number of pups

9/20 × x/360

Cross multiply

9 × 360 = 20 × x

3,240 = 20x

Divide both sides by 20

162 = x

Check our work:

9/20 = 162/360

Cross multiply

9 × 360 = 20 × 162

3,240 = 3,240

Correct

Answer:  The correct answer is an area of a triangle.

Step-by-step explanation:

A=1/2bh is the formula for an area of a triangle.

The correct expressions are;

B). 2/2 + 2/2 + 1/2 = 2.5

D). 1 1/2 + 1/2 + 1/2 = 2.5

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Danny has 2 1/2 pounds of coffee grounds.

2 1/2 = 2.5

The choices are given in the image.

A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.

B). 2/2 + 2/2 + 1/2 = 2.5

C).  1 + 1 + 1/2 + 1/2

But this shows the situation for four days,

So, this option is discarded.

D). 1 1/2 + 1/2 + 1/2 = 2.5

Therefore, B and D are the correct options.

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Answer:

1. 8 cm

2. 64 cm

3. 512 cm

Step-by-step explanation:

The side lengths of cube are 8

The formula for volume is the length*width*height

A-4*4*4

4*4*4=64 cm

B-8*8*8=512 cm

Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm

72 millimeters is equal to 2.83 inches.

Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.

Here's how you convert 72 millimeters to inches:

1 inch = 25.4 millimeters

So, to convert 72 millimeters to inches, we divide by the conversion factor:

72 mm / 25.4 mm/in = 2.83 in

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Triangles AED and ABC are congruent to one another according to SSS congruency.

Given,

The side BC is equal to side DE.

The side AC is equal to side AD.

∠BAC = ∠DAE

We have to find that whether  triangle ABC congruent to triangle AED;

Here,

The side AB = 7 units.

The side AE = 7 units.

Therefore,

The side AB is equal to side AE.

The sum of all the angle of a triangle is 180°.

Consider the triangle ABC and triangle AED.

AB = AE

AC = AD

BC = DE

So, the triangle ABC is congruent to triangle AED by SSS congruency.

That is,

The triangle AED and triangle ABC are congruent by to each other by SSS congruency.

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The image for the question is attached below.

The solution to the differential equation y'' + 4y' + 4y = 25cos(t) + 25sin(t), with initial values y(0) = 1 and y'(0) = 1, is \(y(t) = e^(^-^2^t^) * (1 + 2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

To solve the given second-order linear homogeneous differential equation, we first find the complementary solution by solving the characteristic equation. The characteristic equation for the given differential equation is r² + 4r + 4 = 0. Solving this equation gives us a repeated root of -2.

The complementary solution is then obtained as \(y_c(t) = (c1 + c2t) * e^(^-^2^t^)\), where c1 and c2 are arbitrary constants.

To find a particular solution, we assume a solution of the form y_p(t) = A * sin(t) + B * cos(t), where A and B are constants to be determined. We substitute this assumed solution into the differential equation and solve for A and B.

By substituting the given initial conditions y(0) = 1 and y'(0) = 1 into the general solution, we can solve for the arbitrary constants c1 and c2. This yields c1 = 1 and c2 = 1.

Finally, the complete solution is obtained by adding the complementary and particular solutions, resulting in\(y(t) = y_c(t) + y_p(t) = (1 + t) * e^(-2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

This solution satisfies the given differential equation and the initial conditions.

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2/5 by 31/10 is 4/31 and 4 1/3 by 4/7 is 91/12 and 3 1/6 by 9/10 is 95/27 and 5/8 by 2 7/12 is 15/62.

The derived equations for Gibbs energy, G(T,P), are:

G(T,P) = ∫(∂G/∂T)PdT + ∫(∂G/∂P)TdP

To derive the equation for G(T,P) from G = H - TS (with pressure fixed), we start by differentiating G with respect to temperature (T) at constant pressure (P):

∂G/∂T = ∂(H - TS)/∂T

Using the product rule of differentiation, we have:

∂G/∂T = ∂H/∂T - T∂S/∂T

Since pressure (P) is fixed, the term ∂H/∂T represents the change in enthalpy (H) with temperature (T) at constant pressure. Similarly, the term -T∂S/∂T represents the change in entropy (S) with temperature (T) at constant pressure.

Now, to derive the equation for G(T,P) from dG = -SdT + VdP (with temperature fixed), we start by rearranging the equation:

dG + SdT = VdP

Dividing through by T, we get:

(dG/T) + (S/T)dT = (V/T)dP

The left-hand side can be recognized as (∂G/∂T) at constant pressure, and the right-hand side can be recognized as (∂G/∂P) at constant temperature. Therefore, we can rewrite the equation as:

(∂G/∂T)PdT = (∂G/∂P)TdP

Integrating both sides, we obtain:

∫(∂G/∂T)PdT = ∫(∂G/∂P)TdP

This gives us the equation for G(T,P):

G(T,P) = ∫(∂G/∂T)PdT + ∫(∂G/∂P)TdP

This equation represents the Gibbs energy (G) as a function of temperature (T) and pressure (P), taking into account the changes in enthalpy and entropy with respect to temperature and pressure.

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To find the relative extrema and saddle points of the function f(x, y) = x2 + 6xy + 10y2 − 6y + 9, we need to calculate the partial derivatives of the function with respect to x and y.

f_x = 2x + 6y
f_y = 6x + 20y - 6
Next, we need to find where both partial derivatives are equal to zero or do not exist.
Setting f_x = 0 and f_y = 0, we get the following system of equations:
2x + 6y = 0
6x + 20y - 6 = 0
Solving this system, we get x = 1/2 and y = -1/2.
To determine the nature of these critical points, we need to calculate the second partial derivatives:
f_xx = 2
f_xy = 6
f_yx = 6
f_yy = 20
At (1/2, -1/2), we have
D = f_xx*f_yy - f_xy*f_yx = (2*20) - (6*6) = 28
Since D > 0 and f_xx > 0, we have a relative minimum at (1/2, -1/2).
Therefore,
Relative maximum of f(x, y) = DNE
Relative minimum of f(x, y) = at (x, y) = (1/2, -1/2)
Saddle point of f(x, y) = DNE

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Answer:

m = .8

Step-by-step explanation:

4(1+0.5m)=7m

Distribute

4+ 2m = 7m

Subtract 2m from each side

4+2m-2m = 7m-2m

4 = 5m

Divide each side by 5

4/5 = 5m/5

.8 =m

Answer:

∡W = 73°

∡X = 81°

∡Y = 26°

Step-by-step explanation:

let 'y' = measure angle Y

let '3y - 5' = measure of angle W

let '3y + 3' = measure of angle X

add all together and set equal to 180

y + 3y + 3y - 2 = 180

7y = 182

y = 26

substitute 26 for y in '3y+3' to find measure of angle X

substitute 26 for y in '3y-5' to find measure of angle W

The answer is (C) newspapers. Convenience products are low-cost consumer goods and services that are readily available and easily accessible to consumers.

These products are typically purchased frequently, with minimal effort and little thought or research. Examples of convenience products include bread, gasoline, newspapers, and other everyday items that consumers purchase without much consideration.

Cars, furniture, large appliances, and a cruise are not typically considered convenience products. These are generally higher-cost items that require more thought and research before purchase.

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Ty total compensation for the week where he earns a base rate of $12 per hour and receive a weekly attendance award of $20 is $500.

Rate is the ratio between two related quantities in different units.

Therefore, he earn a base rate of $12 per hour and receives a weekly attendance award of $20.

If he works 40 hours a week, his compensation will be as follows:

let

y = total compensation

x = number of hours worked

Hence,

y = 12x + 20

y = 12(40) + 20

y = 480 + 20

y = $500

Therefore, Ty total compensation is $500.

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Answer:4

Step-by-step explanation:

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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