What is the main difference between squares and rhombuses?
A.
Rhombuses always have four congruent sides; squares do not.

B.
Squares always have four congruent sides; rhombuses do not.

C.
Squares always have four interior angles which each measure 90°; rhombuses do not.

D.
Rhombuses always have four interior angles which each measure 90°; squares do not.

The equation which may be used to find the cost of 3.5 pounds of grapes according to the price per pound of grape given in the task content is; Cost = 3.5 × $1.55.

It follows from the task content that the given relationship is that; 1 pound of grapes cause $1.55.

Hence, it follows from the concept of ratios and proportions that the cost of 3.5 pounds of grapes can be evaluated as follows;

Cost = 3.5 × $1.55

Ultimately, the equation which describes the cost is; Cost = 3.5 × $1.55.

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Answer:

8 hits

Step-by-step explanation:

The ratio is :

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

Harry should make 8 hits in 18 times at bat.

The length of FG is 40 units.

What are parallel lines?

Two or more lines that are consistently parallel to one another and that are located on the same plane are referred to as parallel lines. No matter how far apart parallel lines are, they never cross. The relationship between parallel and intersecting lines is the reverse. The lines that never meet or have any possibility of meeting are known as parallel lines.

Since FG is parallel to CD, triangles CDE and FGE are similar. Thus, we can set up the following proportion:

CE/CD = FG/FE

Substituting the given values, we get:

32/16 = FG/20

Simplifying the left side, we get:

2 = FG/20

Multiplying both sides by 20, we get:

FG = 40

Therefore, the length of FG is 40 units.

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To determine if the vector field F = (2y,2x+z²,2yz) is conservative, we need to check if it satisfies the condition that the curl of F is equal to zero.

Using the curl formula, we can calculate the curl of F:

curl(F) = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)

= (2z, 0, 2y)

Since the curl of F is not equal to zero, we can conclude that F is not conservative.

Therefore, there does not exist a potential function for F.

A vector field is said to be conservative if it can be expressed as the gradient of a scalar potential function. In other words, if F = ∇f for some scalar function f, then F is conservative. The curl of a conservative vector field is always zero, and the converse is also true. Therefore, to determine if a vector field is conservative, we can check if its curl is zero. If the curl is not zero, then the vector field is not conservative and does not have a potential function.

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Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

The polar curve r = 4 - 4sinθ, 0 ≤ θ < 2π has vertical tangent lines at θ = π/6 and θ = 7π/6.

To find the points where the polar curve has a vertical tangent line, we need to determine the values of θ for which the derivative of r with respect to θ, dr/dθ, is equal to infinity.

The derivative of r with respect to θ can be found using the chain rule of calculus. We have:

dr/dθ = d(4 - 4sinθ)/dθ

Differentiating the expression, we get:

dr/dθ = -4cosθ

For a vertical tangent line, the slope of the tangent line should be infinite, which means the derivative dr/dθ should be equal to infinity. Therefore, we set -4cosθ equal to infinity and solve for θ:

-4cosθ = ∞

Since the cosine function oscillates between -1 and 1, it never attains the value of infinity. However, there are two specific values of θ for which the cosine is equal to zero, resulting in the derivative being undefined (i.e., vertical tangent lines). These values are:

θ = π/2 + 2πk, where k is an integer

Converting these values to the range 0 ≤ θ < 2π, we have:

θ = π/2 and θ = 3π/2

Substituting these values back into the polar equation, we find the corresponding points on the curve:

For θ = π/2:

r = 4 - 4sin(π/2) = 4 - 4(1) = 0

For θ = 3π/2:

r = 4 - 4sin(3π/2) = 4 - 4(-1) = 8

Therefore, the polar curve r = 4 - 4sinθ has vertical tangent lines at the points (0, π/2) and (8, 3π/2).

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Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

9514 1404 393

Answer:

  400; building and equipment fixed cost

Step-by-step explanation:

The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.

The y-intercept is 400. It is the daily fixed cost of the building and equipment.

Answer:

The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.

Step-by-step explanation:

Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.

Have a good day :)

Answer:

You will be able to spend your money for a total of 16 days.

Step-by-step explanation:

Total money won: $48

Since you are starting off with $48, divide the amount of money you will be using each day. 48 divided by 3 is equal to 16.

The total cost of the vegetable seeds is $18.85

We can multiply the cost per package by the number of packets to get the total cost of the vegetable seeds.

There are 13 packages in this case, each costing $1.45 with VAT.

Cost of seeds overall equals Price per packet * Number of packages

Each box costs $1.45.

There are 13 packages total.

$1.45 * 13 is the total cost of the seeds.

We may multiply the price per package ($1.45) by the quantity of packets (13), which will get the total cost:

Total price of seeds: $1.45 multiplied by 13 equals $18.85

It's vital to remember that, as stated in the problem, tax is already included in the pricing per package. Therefore, there is no need to adjust the estimate to account for additional taxes. Given that there are 13 packets and that the price each box is $1.45, we can calculate the total cost by multiplying the number of packages by the price per package.

In order to buy all 13 packages of vegetable seeds, Kevin would need to spend the whole sum shown. In this instance, the overall expense is $18.85.

Include the appropriate unit in your response, which should be "dollars" ($).

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Answer:

x=21 interior angle =150 exterior angle=210

Step-by-step explanation:

to find the angle rule=(n-2)×180

n is the number of sides in the polygon

(12-2)×180=1800

1800/12=150 (this is the interior angle)

7x+3=150

x=21

exterior angle = 360-150=210

The perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.

Given that you want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet.

We are to find the perimeter for each possible region.

Area of rectangle = length x breadth

Now, we are given the area of the rectangle as 1200 square feet and length as 40 feet, 50 feet or 60 feet.

Therefore, the breadth of the rectangle can be calculated as follows:

Breadth = Area/Length

We get the following breadth for each of the given lengths:

For length 40 feet,

breadth = 1200/40 = 30 feet

For length 50 feet, breadth = 1200/50 = 24 feet

For length 60 feet, breadth = 1200/60 = 20 feet

Now, we can use the formula to calculate the perimeter of each rectangle.

Perimeter of rectangle = 2 (length + breadth)

So, the perimeter for each possible region is given by:

Perimeter when length = 40 feet

Breadth = 30 feet

Perimeter = 2(40+30) = 2(70) = 140 feet

Perimeter when length = 50 feet

Breadth = 24 feet

Perimeter = 2(50+24) = 2(74) = 148 feet

Perimeter when length = 60 feet

Breadth = 20 feet

Perimeter = 2(60+20) = 2(80) = 160 feet

Therefore, the perimeter for each possible region is 140 feet, 148 feet, and 160 feet when the length of the rectangle is 40 feet, 50 feet or 60 feet, respectively.

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The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:

Step-by-step explanation:

\(y_{1}\) = - 4 - 2( - 3) = 2

\(y_{2}\) = - 4 - 2( - 2) = 0

\(y_{3}\) = - 4 - 2( - 1) = - 2

\(y_{4}\) = - 4 - 2( 0 ) = - 4

\(y_{5}\) = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

the greater fraction is 39 ,  To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

what is  denominator ?

In a fraction, the denominator is the bottom number that represents the total number of equal parts into which a whole is divided or the total number of parts in the fraction. For example, in the fraction 3/5, the denominator is 5

In the given question,

A. 46 or 310:

To compare 46 and 310, we can use the benchmark fraction 1/2.

46 is less than 1/2 (which equals 50/100) and 310 is greater than 1/2.

Therefore, the greater fraction is 310.

B. 27 or 58:

To compare 27 and 58, we can use the benchmark fraction 1/4.

27 is greater than 1/4 (which equals 25/100) and 58 is greater than 1/2.

Therefore, the greater fraction is 58.

C. 35 or 39:

To compare 35 and 39, we can use the benchmark fraction 1/2.

35 is less than 1/2 (which equals 50/100) and 39 is greater than 1/2.

Therefore, the greater fraction is 39.

a. 45 or 910:

To compare 45 and 910, we can convert them to a common denominator of 90:

45/1 = 45/1 x 10/10 = 450/10

910/1 = 910/1 x 9/9 = 8190/9

Now we can compare 450/90 and 8190/90:

450/90 = 5/1

8190/90 = 910/1

Therefore, the greater fraction is 910.

b. 57 or 814:

To compare 57 and 814, we can convert them to a common denominator of 28:

57/1 = 57/1 x 4/4 = 228/4

814/1 = 814/1 x 1/1 = 814/28

Now we can compare 228/28 and 814/28:

228/28 = 57/7

814/28 = 29/1

Therefore, the greater fraction is 814.

c. 312 or 13:

To compare 312 and 13, we can convert 13 to a fraction with a denominator of 12:

13/1 = 13/1 x 12/12 = 156/12

Now we can compare 312/1 and 156/12:

312/1 = 312/1 x 12/12 = 3744/12

156/12 = 13/1

Therefore, the greater fraction is 312.

a. 5/6 : 3/4 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

5/6 = 5/6 x 4/4 = 20/24

3/4 = 3/4 x 6/6 = 18/24

20/24 > 18/24

Therefore, 5/6 > 3/4.

b. 4/7 : 2/3 :

To find equivalent fractions with a common denominator, we can use the product of the denominators:

4/7 = 4/7 x 3/3 = 12/21

2/3 = 2/3 x 7/7 = 14/21

12/21 < 14/21

Therefore, 2/3 > 4/7.

a. 6/9 or 3/4:

To compare 6/9 and 3/4, we can convert 3/4 to a fraction with a denominator of 9:

3/4 = 3

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Answer:

First, we know that:

cot(x) = cos(x)/sin(x)

csc(x) = 1/sin(x)

I can't know for sure what is the exact equation, so I will assume two cases.

The first case is if the equation is:

\(\frac{cot(x)}{sin(x)} - csc(x)\)

if we replace cot(x) and csc(x) we get:

\(\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}\)

Now let's we can rewrite this as:

\(\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}\)

\(\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}\)

We can't simplify it more.

Second case:

If the initial equation was

\(\frac{cot(x)}{sin(x) - csc(x)}\)

Then if we replace cot(x) and csc(x)

\(\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}\)

This is equal to:

\(\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}\)

And we know that:

sin^2(x) + cos^2(x) = 1

Then:

sin^2(x) - 1 = -cos^2(x)

So we can replace that in our equation:

\(\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}\)

The compound inequality 7x + 8 > 36 OR -5x - 1 ≥ -16 has the solution x > 4 OR x ≤ 3. In interval notation, this is represented as (4, +∞) ∪ (-∞, 3].

To solve the compound inequality 7x + 8 > 36 OR -5x - 1 ≥ -16, we will solve each inequality separately and then combine the solutions using the "OR" condition.

First, let's solve the inequality 7x + 8 > 36:

Subtracting 8 from both sides, we get:

7x > 28

Dividing both sides by 7, we have:

x > 4

Now, let's solve the second inequality -5x - 1 ≥ -16:

Adding 1 to both sides, we get:

-5x ≥ -15

Dividing both sides by -5 and reversing the inequality sign, we have:

x ≤ 3

Finally, we combine the solutions using the "OR" condition. The solutions to the compound inequality are x > 4 OR x ≤ 3.

In interval notation, this can be written as (4, +∞) ∪ (-∞, 3].

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The total area on which the dart may land is 530.93 square units

The dart is a circle and hence the calculations will be accomplished using formula pertaining to a circle.

The circumference of a circle (dart) is given by the formula below

C = 2 * π * r

where

C is the circumference

π = pi is a constant term and

r is the radius.

26π = 2πr

Dividing both sides by 2π, we get:

r = 13

Area of the dart (circle)

A = πr²

A = π * (13)²

A = 169π (in terms of pi)

A = 530.93 square units (to 2 decimal place)

Therefore, the total area on which the dart may land is 169π square units.

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The average density of the rod is  0.704 kg/m.

For given question,

We have been given the linear density in a rod 5 m long is 10 / x + 4 kg/m, where x is measured in meters from one end of the rod.

We need to find the

The length of rod is, L = 5 m.

The linear density of rod is, ρ = 10/( x + 4) kg/m

To find the average density we need to integrate the linear density from x₁ = 0 to x₂ = 5,  

The expression for the average density is given as,

⇒ ρ'

\(=\int\limits^5_0 {\rho} \, dx\\\\=\int\limits^5_0 {\frac{m}{L} } \, dx\\\\=\int\limits^5_0 {\frac{10}{5(x+4)} }\, dx\\\\=\int\limits^5_0 {\frac{2}{x+4} }\, dx\)                        ......................(1)

Using u = x + 4  

du = dx

u₁ = x₁ + 4

u₁ = 0 + 4

u₁ = 4

and

u₂ = x₂ + 4

u₂ = 5 + 4

u₂ = 9

By entering the values above into (1), we have:

⇒ ρ'

\(=2\int\limits^9_4 {\frac{1}{u} } \, du\\\\ = 2[(log~u)]_4^{9}\\\\=2[(log~9-log~4)]\\\\=2\times[0.352]\)

= 0.704

Thus, we can conclude that the average density of the rod is  0.704 kg/m.

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The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

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If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

The annual interest rate = 23%

The credit card interest rate the amount you have to pay to borrow the money from them.  The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.

The monthly interest rate = \((1+\frac{23}{100})^{(1/12)}\)

= \((1+0.23)^{(1/12)}\)

= 1.0174

Then,

= (1.0174-1) × 100%

Subtract the terms first

= 0.0174 × 100%

Multiply it

= 1.74%

Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

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To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Answer:

\( \displaystyle A) {15}^{ \circ} \)

Step-by-step explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

\( \displaystyle 4x - 30 = 2x\)

cancel 2x from both sides:

\( \displaystyle 2x - 30 = 0\)

add 30° to both sides:

\( \displaystyle 2x = 30\)

divide both sides by 2:

\( \displaystyle x =15\)

hence

our answer is A)

Answer:

2+1=3, 3-3=0

Step-by-step explanation:

Answer:

The answer is D I believe

Step-by-step explanation:

If you look at the lowest point it lands on -4

Answer:

2.40 tiempo de la pelicula  en total

0.20 es el tiempo de avances

tendriamos que restar el tiempo de los avances al tiempo total

lo que nos daria 2.20 que es igual a 7/8

Step-by-step explanation:

The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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Answer:

Step-by-step explanation:

    Cost =  fixed rate + number of guests* cost per meal.

Let  x be the number of guests.

a)  Pin hall:

       Fixed rate = $ 500

      Cost per meal = $15

      Cost = 500 + 15*x

    \(\sf \boxed{\bf C = 500 + 15x}\)

Bloom place:

       Fixed rate = $350

   Cost per meal = $18

         \(\sf \boxed{\bf C = 350 +18x}\)

b) Given the charges are same at both halls.

  350 + 18x = 500 + 15x

             18x = 500 + 15x - 350

              18x = 150 + 15x

        18x -15x = 150

                3x  = 150

                  x = 150 ÷ 3

                  x = 50

When the number of guests is 50, the cost is same at both the halls

Hello!

Forming the equations :

y = mx + b

m = rate per hour

b = fixed charge

\(\fbox {y = 15x + 500}\)

\(\fbox {y = 18x + 350}\)

Solving for number of guests at which cost is the same :

15x + 500 = 18x + 350

3x = 150

x = 25 guests