Store #1 sold packages of eggs 1 dozen (12) for $1.44 a package. Store #2 sold packages of eggs 3 dozen (36) for $4.68. Which has the better price? Show the comparing prices.

Answer:

AC ≅ BD

Step-by-step explanation:

A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.

A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.

A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals

AC ≅ BD or say Measure of AC = Measure of BD diagonal.

Given that:

ABCD is a parallelogram

AC and BD intersect at E.

A parallelogram is defined as a closed geometric figure that has got 4 straight sides and  opposite sides are parallel to each other.

Set of all parallelogram is superset of set of all rectangles.

There is a property about diagonals of a parallelogram that states as;

" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".

Now given parallelogram is ABCD thus its diagonals are AC and BD.

Thus for ABCD to be rectangle we need:

magnitude of AC = magnitude of BC

or

AC ≅ BD

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The greatest common factors of the triplets of natural numbers are:

Case 1: G.C.F. = 8

Case 2: G.C.F. = 14

Case 3: G.C.F. = 9

Case 4: G.C.F = 2⁴

Case 5: G.C.F. = 16

Case 6: G.C.F. = 4

Case 7: G.C.F. = 15

Case 8: G.C.F. = 1

Case 9: G.C.F. = 3

Case 10: G.C.F. = 10

Case 11: G.C.F. = 2

Case 12: G.C.F. = 1

Case 13: G.C.F. = 4

Case 14: G.C.F. = 6

Case 15: G.C.F. = 4

Case 16: G.C.F. = 8

Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.

The process to determine the greatest common factor is shown below:

Case 1

80 = 2⁴ × 5

64 = 2⁶

56 = 2³ × 7

G.C.F. = 2³

G.C.F. = 8

Case 2

56 = 2³ × 7

84 = 2² × 3 × 7

14 = 2 × 7

G.C.F. = 2 × 7

G.C.F. = 14

Case 3

45 = 3² × 5

54 = 2 × 3³

81 = 3⁴

G.C.F. = 3²

G.C.F. = 9

Case 4

64 = 2⁶

16 = 2⁴

32 = 2⁵

G.C.F = 2⁴

Case 5

48 = 3 × 2⁴

64 = 2⁶

96 = 2⁵ × 3

G.C.F. = 2⁴

G.C.F. = 16

Case 6

28 = 2² × 7

48 = 2⁴

96 = 2⁵ × 3

G.C.F. = 2²

G.C.F. = 4

Case 7

90 = 2 × 3² × 5

75 = 3 × 5²

45 = 3² × 5

G.C.F. = 3 × 5

G.C.F. = 15

Case 8

70 = 2 × 5 × 7

54 = 2 × 3²

95 = 5 × 19

G.C.F. = 1

Case 9

33 = 3 × 11

6 = 2 × 3

84 = 2² × 3 × 7

G.C.F. = 3

Case 10

30 = 2 × 3 × 5

90 = 2 × 3² × 5

70 = 2 × 5 × 7

G.C.F. = 2 × 5

G.C.F. = 10

Case 11

100 = 2² × 5²

30 = 2 × 3 × 5

2 = 2

G.C.F. = 2

Case 12

92 = 2² × 23

67 = 67

41 = 41

G.C.F. = 1

Case 13

92 = 2² × 23

16 = 2⁴

20 = 2² × 5

G.C.F. = 2²

G.C.F. = 4

Case 14

54 = 2 × 3³

60 = 2² × 3 × 5

72 = 2³ × 3²

G.C.F. = 2 × 3

G.C.F. = 6

Case 15

12 = 2² × 3

72 = 2³ × 3²

80 = 2⁵ × 5

G.C.F. = 2²

G.C.F. = 4

Case 16

80 = 2⁴ × 5

24 = 2³ × 3

48 = 2⁴ × 3

G.C.F. = 2³

G.C.F. = 8

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Answer:

GIVEN :

Which division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction?

A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)

B)  Negative Start Fraction 5 over 6 End Fraction divided by Start Fraction 13 over 3 End Fraction

C) Start Fraction 13 over 3 End Fraction divided by Start Fraction 5 over 6 End Fraction  

D) Negative Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)

TO FIND :

The division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction

SOLUTION :

Given expression is 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction.

It can be written as

Now solving the above expression as below :

By converting the mixed fraction into proper fraction,

By using the quotient rule of exponents :

∴ the given expression  is equivalent to

⇒ option A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction) is correct.

Step-by-step explanation:

Answer:

\(x = 145\)

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

\(x+(unknown)=180\)

Solve for unknown,

\(unknown = 180 - x\)

One can also state,

\(170+(unknown_2)=180\)

Solve for the unknown,

\(unknown_2=10\)

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

\(S=180(n-2)\)

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

\(S=180(n-2)\\\\S=180(8-2)\)

Simplify,

\(S=180(8-2)\\\\S=180(6)\\\\S= 1080\)

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

\(1080\) ÷ \(8 = 135\)

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

\((180-x)+(10)+(135)=180\)

Simplify,

\(325-x=180\)

Inverse operations,

\(325-x=180\\\\-x = -145\\\\x=145\)

Answer:

i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal.  Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.

If the time step used in the fourth-order Runge-Kutta approximation is reduced by a factor of 10, the error of the approximation is reduced by a factor of 1000.

The error of a fourth-order Runge-Kutta approximation of a differential equation is typically proportional to the time step cubed, assuming the function being approximated is sufficiently smooth.

Therefore, if the time step is reduced by a factor of 10, the error should be reduced by a factor of \(\(10^3\)\), or 1000.

In general, for a fourth-order Runge-Kutta method, if you reduce the time step by a factor of \(\(n\)\), the error is expected to decrease by a factor of \(\(n^3\)\).

Reducing the time step used in a fourth-order Runge-Kutta approximation by a factor of 10 will lead to a reduction in the error of the approximation by a factor of 1000.

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Answer:

x=1 y=2

Step-by-step explanation:

Answer:

y= -2x+4

So the y intercept is 4, as its the c in this equation

I think that makes your x intercept as either 8 or 2...

Step-by-step explanation:

Answer:

143 cars on each floor

Step-by-step explanation:

572 / 4 = 143

There were 143 cars on each floor.

In maths, a division is a process of splitting a specific amount into equal parts.

Given that, 572 cars were parked in a parking garage. The same number of cars was parked on each floor, and there were 4 floors,

In 4 floor = 572 cars

1 floor = 572/4 cars = 143 cars

Hence, There were 143 cars on each floor.

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The first partial derivatives of z with respect to x and y in the equation x + sin(y + z) = 0 are ∂z/∂x = -1 and ∂z/∂y = -cos(y + z).

To find the first partial derivatives of z with respect to x and y, we need to differentiate the given implicit equation with respect to x and y while treating z as a function of x and y.

Differentiating the equation with respect to x:

∂/∂x (x + sin(y + z)) = 1 + ∂z/∂x

Differentiating the equation with respect to y:

∂/∂y (x + sin(y + z)) = cos(y + z) (1 + ∂z/∂y)

The term ∂z/∂x represents the partial derivative of z with respect to x, and ∂z/∂y represents the partial derivative of z with respect to y.

So, the first partial derivatives of z are:

∂z/∂x = -1

∂z/∂y = -cos(y + z)

These derivatives indicate how the variable z changes with respect to changes in x and y in the given equation x + sin(y + z) = 0. The value of -1 for ∂z/∂x means that for every unit increase in x, z decreases by 1. The value of -cos(y + z) for ∂z/∂y indicates how z changes with respect to changes in y, with the specific relationship determined by the trigonometric function cos(y + z).

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Answer:

The pants cost $15 and the jacket costs $60

Step-by-step explanation:

The magnitudes of these vectors decrease as k increases, indicating that the power method converges to the eigenvector V1 = [1 1] in direction. The magnitudes of these vectors also decrease as k increases, indicating convergence to the eigenvector V2 = [1 -1] in direction.

(a) For A = [11 -9; -9 11], the characteristic polynomial is (A - 11)^2 - 81 = 0, which has roots 2 and 20. Thus, the largest eigenvalue of A is 20. The corresponding eigenvector is [1 1] (scaled so its largest entry is 1). Starting with x0 = [1 0], we get the following sequence of vectors: x1 = [0 -0.25], x2 = [0.0625 0], x3 = [0 0.0156].

(b) Using A-1, we have the eigenvalues 1/20 and 1/2, with corresponding eigenvectors [1 -1] and [1 1]. Starting with x0 = [1 0], we get the following sequence of vectors: x1 = [-0.225 0.225], x2 = [0.0506 -0.0506], x3 = [-0.0114 0.0114].

In general, if A has eigenvalues λ1,...,λn with corresponding eigenvectors v1,...,vn, then A-1 has eigenvalues 1/λ1,...,1/λn with corresponding eigenvectors v1,...,vn. The power method applied to A-1 with start vector x converges to the eigenvector corresponding to the smallest eigenvalue of A, while the power method applied to A converges to the eigenvector corresponding to the largest eigenvalue of A.

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The probability of a correct guess on the first try is 0.024%.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

A number between 0 and 1 is the probability of an event.

where,

P(E) = Number of Favorable Outcomes/Number of Total Outcomes

Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:

8 \(*\) 8 \(*\) 8 \(*\) 8 = X

\(8 ^ {4 }\) = X

simplifying the above equation, we get

4096 = X

1/4096 = X

0.000244140625 = X

0.000244140625 \(*\) 100 = 0.024%

Therefore, the probability of a correct guess on the first try is 0.024%.

The complete question is;

A thief steals an atm card and must randomly guess the correct four​-digit pin code from a 8​-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first​ try?

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Answer:

Step-by-step explanation:

It 14

Answer:

this is like related to fractions right?

Step-by-step explanation:

Answer:

Sana di ten points

Step-by-step explanation:

B

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Answer:

Hollerith tabulating machine

Step-by-step explanation:

The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.

Step-by-step explanation:

10 cm maybe according to me (*_*)

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer:

40

Step-by-step explanation:

So if you add 5 to 75 you get 80 so that means there were 80 matches all then you divide 80 by 2 and voila 40!

Hoped this helped

P.s. Can I get a happy bday my bday is tmmr

Answer:

100^9

Step-by-step explanation:

100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3

Answer:

\(x=-2\)

Step-by-step explanation:

\(2x + 4 = 0\)

Subtract 4 from both sides:-

\(2x+4-4=0-4\)

\(2x=-4\)

Divide both sides by 2:-

\(\frac{2x}{2}=\frac{-4}{2}\)

\(x=-2\)

OAmalOHopeO

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf2x+4=0\)

Subtract 4 from both sides. Anything subtracted from zero results in its negation.

\( \sf2x=-4 \)

Divide both sides by 2.

\( \sf \: x=\frac{-4}{2} \\ \)

Divide -4 by 2 to get -2.

\( \boxed{ \boxed{ \bf \: x=-2 }}\)

Answer:

C. 58 degrees

To find the measure of angle R in triangle QRS, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given:

Q = 8x

m/R = 14x + 2 degrees

m/S = 10x + 50 degrees

The sum of angles Q, R, and S is 180 degrees:

Q + R + S = 180

Substituting the given values:

8x + (14x + 2) + (10x + 50) = 180

Simplifying the equation:

8x + 14x + 2 + 10x + 50 = 180

32x + 52 = 180

32x = 180 - 52

32x = 128

x = 128/32

x = 4

Now that we have the value of x, we can substitute it back into the given expressions to find the measures of angles Q, R, and S.

Q = 8x = 8 * 4 = 32 degrees

m/R = 14x + 2 = 14 * 4 + 2 = 58 degrees

m/S = 10x + 50 = 10 * 4 + 50 = 90 degrees

Therefore, the measure of angle R is 58 degrees. So, the correct answer is C. 58°.

I hope you do great and pass this Unit test!!

The kite is flying 415.84 feet from the ground

The given parameters are:

Let the height be h.

So, we have the following sine function

sin(x) = h/L

Make h the subject

h = L * sin(x)

This gives

h = 725 * sin(35)

Evaluate

h = 415.84

Hence, the kite is flying 415.84 feet from the ground

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Production: 168,500 units.

Direct materials: 337,000 pounds.

Direct labor: Calculated based on units produced.

Factory overhead: Calculated based on direct labor hours.

1. Production Budget for the Third Quarter:

BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter

Budgeted sales units: 170,000

Add: Desired ending inventory units: 5,500

Total required units: 175,500

Less: Beginning inventory units: 7,000

Units to produce: 168,500

2. Direct Materials Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter

Units to produce: 168,500

Materials needed for production (pounds): 2 pounds per snowboard

Total materials required (pounds): 337,000 pounds

Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds

3. Direct Labor Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter

Units to produce: 168,500

Direct labor hours needed: 0.5 hour per snowboard

Cost of direct labor: Direct labor hours needed * Direct labor rate

4. Factory Overhead Budget for the Third Quarter:

BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter

Direct labor hours needed: Calculated from the direct labor budget

Budgeted variable overhead: Direct labor hours needed * Variable overhead rate

Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead

Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.

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Population 1: People with low desire for success.

Population 2: People with high desire for success.

(H₀): The type of television shows watched is independent of the desire for success.

(H₁): The type of television shows watched is dependent on the desire for success.

Population and Hypotheses:

Population 1: People with low desire for success.

Population 2: People with high desire for success.

Null Hypothesis (H₀): The type of television shows watched is independent of the desire for success.

Alternative Hypothesis (H₁): The type of television shows watched is dependent on the desire for success.

Table for the Data :

|                    | Comedies | Romances | Documentaries | Dramas | News Shows |

|--------------------|----------|----------|---------------|--------|------------|

| Low Success Seekers | 8        | 15       | 6             | 13     | 3          |

| High Success Seekers | 3        | 3        | 9             | 7      | 8          |

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The graph of each function in the piecewise function is added as an attachment

The equation of the piecewise function is given as

f(n) = n/2 if n is even

        3n + 1 if n is odd

In the above definition of the piecewise function, we have the following functions and the domains

Note that:

The domain of the function is the set of input values of the graph

This in other words mean the domain of a function is the set of x values of the graph.

Next, we plot the graph of each function in the piecewise function in their respective domain

See attachment for the graph of each function in the piecewise function,

On the graph, the blue line represents f(n) = n/2 while the other line represents f(n) = 3n + 1

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Answer:

24 x y

Step-by-step explanation:

Simplify the following:

3×4×2 x y

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12×2 x y

Hint: | Multiply 12 and 2 together.

12×2 = 24:

Answer: 24 x y

Answer: x+8

The term 'sum' means 'result of adding two (or more) numbers or expressions'.

Answer:

\(1290\) calories

Step-by-step explanation:

Given: The racer moves at \(13.1\) miles per hour expends energy at a rate of \(645\) calories per hour.

To find: Energy in calories, required to complete a marathon race \(26.2\) miles at this pace.

Solution: We have,

The racer moves at \(13.1\) miles per hour.

The racer expends energy at a rate of \(645\) calories per hour.

So, energy expended while moving \(13.1\) miles \(=645\) calories.

Now, energy expended while moving \(1\) mile \(=\frac{645}{13.1}\) calories.

So, energy expended while moving \(26.2\) miles \(=\frac{645}{13.1}\times 26.2=645\times 2=1290\) calories.

Hence, \(1290\) calories of energy is required to complete a marathon race \(26.2\) miles at this pace.

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

The speed of the racer is 13.1 miles per hour. To complete a 26.2 miles:

13.1 = 26.2 / t

t = 2 hours.

The racer expends energy at a rate of 645 calories per hour, for 2 hours:

Amount of calories = 645 calories per hour * 2 hours = 1290 calories

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

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\( \rm \: {2x}^{2} + x - 6\)

\( \rm \: {2x}^{2} + 4x - 3x - 6\)

\( \rm \: {2x} \times (x + 2)- 3x \times (x + 2)\)

\( \rm \: (x + 2) \times (2x - 3)\)