A jar contains 5 red marbles, 10 blue marbles, 1 white marble, 6 black marbles, and 3 yellow marbles. Determine the probability of getting a white marble replacing it and getting a red marble

The minimum value of the function f(x) is 1, which happens when x = 4, because 2(x-4)2 is always non-negative. The function therefore has a quadratic equation minimum at (4,1).

A quadratic formula in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of the second rank guarantees that the it has at least a single option according to the Central Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one term in it needs to be squared. One of the common formulas for solving quadratic problems is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical factors or variables a, b, and c.

The right-side expansion demonstrates that the claim "2x2 - 16x + 33 can be rewritten as 2(x-4)2 + 1" is accurate:

2(x-4)² + 1 = 2(x² - 8x + 16) + 1 = 2x² - 16x + 33

The minimum value of the function f(x) is 1, which happens when x = 4, because 2(x-4)2 is always non-negative. The function therefore has a minimum at (4,1).

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Answer:

45

Step-by-step explanation:

Answer:

first group x's with x's and y's with y's

then complete the squra with x's and y's

2x^2-8x+2y^2+10y+2=0

2(x^2-4x)+2(y^2+5y)+2=0

take 1/2 of linear coeficient and square

-4/2=-2, (-2)^2=4

5/2=2.5, 2.5^2=6.25

add that and negative inside

2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0

factor perfect squares

2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0

distribute

2(x-2)^2-8+2(y+2.5)^2-12.5+2=0

2(x-2)^2+2(y+2.5)^2-18.5=0

add 18.5 both sides

2(x-2)^2+2(y+2.5)^2=18.5

divide both sides by 2

(x-2)^2+(y+2.5)^2=9.25

that is a circle center (2,-2.5) with radius √9.25

Answer:

30c + 10(0.2) = 40(0.32)

Step-by-step explanation: i hope this answer your question if this is wrong or correct please let me know

Answer: 173.82cm^2

Step-by-step explanation:

Answer: After 3 years the value of the new car would be $11,027.36

Answer:

Step-by-step explanation:

Depreciation in 1st year= 18%×$20,000=18÷100×$20,000= 0.18×$20,000=$3600

New value=$20,000-$3600=$16,400

Depreciation in 2nd year=18% of $16,400=0.18×16,400=$2,952

New value=$16,400-$2,952=$13,448

Depreciation in 3rd year=18% of $13,448=0.18×$13,448=$2,420.64

New value=$13,448-$2,420.64=$11,027

.36

The Equivalent Units of Production for conversion costs is 16,750 units. The total material cost per unit is P0.94. The total manufacturing cost per unit is P2.59. The total cost for Started and Completed is P47,680. The total cost for Work in Process, Ending Inventory is P5,180.

21. The Equivalent Units of Production-Conversion Cost = 16,750 units.

22. The total material cost per unit = P0.94.

23. The total manufacturing cost per unit = P2.59.

24. The total cost for Started and Completed = P47,680.

25. The total cost for Work in Process, Ending Inventory = P5,180.

To calculate the required values, we'll use the FIFO method.

21. Equivalent Units of Production-Conversion Cost:

Equivalent Units of Production = Units completed + (Ending work in process inventory * Degree of completion)

Equivalent Units of Production = 17,500 + (2,000 * 3/4)

Equivalent Units of Production = 17,500 + 1,500

Equivalent Units of Production = 19,000 units

22. Total Material Cost per Unit:

Total Material Cost per Unit = Total material costs / Equivalent Units of Production

Total Material Cost per Unit = P16,500 / 17,500

Total Material Cost per Unit = P0.94

23. Total Manufacturing Cost per Unit:

Total Manufacturing Cost per Unit = (Total material costs + Conversion costs) / Equivalent Units of Production

Total Manufacturing Cost per Unit = (P16,500 + P23,945) / 17,500

Total Manufacturing Cost per Unit = P40,445 / 17,500

Total Manufacturing Cost per Unit = P2.59

24. Total Cost for Started and Completed:

Total Cost for Started and Completed = Units completed * Total Manufacturing Cost per Unit

Total Cost for Started and Completed = 17,500 * P2.59

Total Cost for Started and Completed = P45,325

25. Total Cost for Work in Process, Ending Inventory:

Total Cost for Work in Process, Ending Inventory = Ending work in process inventory * Total Manufacturing Cost per Unit

Total Cost for Work in Process, Ending Inventory = 2,000 * P2.59

Total Cost for Work in Process, Ending Inventory = P5,180

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Answer:

- 43

Step-by-step explanation:

f ( x ) = - 2x² + 2x - 3

To find : f ( 5 )

f ( 5 ) = f ( x )

Here,

x = 5

f ( 5 ) = - 2x² + 2x - 3

        = - 2 ( 5 )² + 2 ( 5 ) - 3

        = - 2 ( 25 ) + 10 - 3

        = - 50 + 7

f ( 5 ) = - 43

Answer:

-43

Step-by-step explanation:

oon edge

mark me brain

The night the family can stay at the hotel are-

Equations in mathematics are not always balancing on both sides using a 'equal to' symbol. Sometimes it's a 'not equal to' relationship, as though something is more than or less than the other. In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or any other mathematical expressions.

Inequalities are mathematical expressions that fall within the category of algebra.

Now according to the question-

Total cost spent on hotel stay = cost per night + taxes + parking charges + tips.

As, the paid tax is 10% of the original amount.

The original amount is $90

10% of 90 is = 0.1 × 90

10% tax = $9

Let 'x' be the days spent in hotel.

Then,

The cost spent on stay only is $90x.

The cost spend  on tax is $9x.

As, parking is done once only its id added once only.

The total amount spent on tips is $30

Adding all the amount;

90x + 9x + 12 + 30 ≤ 600

On solving,

99x ≤  558

x ≤ 5.6

As, number can not be in decimals, it could be either 5 day sir 6 days.

Then, total amount spend on days will be-

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The complete question is-

One particular hotel in the downtown area costs $90 a night. An additional 10% tax is added to the original cost of the hotel room. There is also a one-time $12 for parking charge, and a family can expect to spend $30 on tips during their stay. How many nights can a family spend at the hotel without exceeding their budget of $600.

The total amount of medication in blood stream after n number of doses is  19.44 milligrams, under the given condition that a  person repeatedly takes 20 milligrams of a prescribed medication every 4 hours.

Then the recursive rule for the amount of medication in the bloodstream after n dose is

A (n) = A (n-1) x 0.6

here

A (n) =  amount of medication in the bloodstream after the nth dose,

A (1) = 150 (the initial dose)

We can implement the values in the formula

A(5) = A(4) x 0.6

A(4) = A(3) x 0.6

A(3) = A(2) x 0.6

A(2) = A(1) x 0.6

A(1) = 150

Then,

A(2) = 150 x 0.6 = 90

A(3) = 90 x 0.6 = 54

A(4) = 54 x 0.6 = 32.4

A(5) = 32.4 x 0.6 = 19.44

The total amount of medication in blood stream after n number of doses is  19.44 milligrams, under the given condition that a  person repeatedly takes 20 milligrams of a prescribed medication every 4 hours.

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Answer:

\sqrt{7}i or -\sqrt{7}i

Step-by-step explanation:

square root both sides of the equation

since you can't sqrt a negative number, you substitute sqrt of -1 to i

Which gets the answer.

Answer slope

Step-by-step explanation:

Answer:

14x+5y-1

Step-by-step explanation:

you will first solve the first two algebras by summing them up and then u subtract it with the last algebra

The equation that represents the relationship between m and n is written as: n = 7m.

A proportional relationship between two variables have a slope of constant of proportionality, k, which is y/x.

The equation that represents a proportional relationship is expressed in slope-intercept form as y = kx.

In this situation m = x, and n = y.

The constant of proportionality, k = n/m.

Find the constant of proportionality, k, using a pair of values from the given table, say (3, 21):

k = 21/3

k = 7

To write the equation, substitute k = 7 into n = km:

n = 7m.

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Answer:

Anita needs 12/5 or 2 2/5 of fabric to make 4 blankets

Step-by-step explanation:

the equation is 3/5 x 4 so how I did it was 3x4=12. 5 stays so it's 12/5 and to convert it's 12/5 which is 2 with 2/5 left over.

a bad explanation but the best I got for ya.

:(

Step-by-step explanation:

Exterior angles of all polygons sum to 180 degrees

180 - 58 - 29-73-71-62 = n    degrees

To use polar coordinates, we need to first express the equations of the surfaces in polar coordinates.

In polar coordinates, we have x = r cosθ and y = r sinθ. Therefore, the equation x^2 + y^2 = 1 becomes r^2 = 1.

To find the volume of the solid, we can integrate over the region in the xy-plane bounded by the circle r=1. For each point (r,θ) in this region, the corresponding point in 3D space has coordinates (r cosθ, r sinθ, r^2+3)

Thus, the volume of the solid can be expressed as the double integral:

V = ∬R (r^2+3) r dr dθ

where R is the region in the xy-plane bounded by the circle r=1.

We can evaluate this integral using the limits of integration 0 to 2π for θ, and 0 to 1 for r:

V = ∫₀^¹ ∫₀^(2π) (r^3 + 3r) dθ dr

= ∫₀^¹ [(r^3/3 + 3rθ)]₀^(2π) dr

= ∫₀^¹ (2πr^3/3 + 6πr) dr

= 2π[(1/12) + (1/2)]

= 2π(5/12)

= (5/6)π

Therefore, the volume of the solid is (5/6)π.

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The ratio of all the corresponding sides of the triangle are equal to each other.

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

Two triangles are said to be similar if they have the same shape and the same corresponding angles.

Also, the ratio of all the corresponding sides of the triangle are equal to each other.

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Answer:

Step-by-step explanation:

Answer:

The answer is 39.

Step-by-step explanation:

bc^2 + a / c

=(9)(4)^2 + (12) / (4)

=(9)(4*4) + (12) / (4)

=(9)16 + (12) / (4)

=144 + 12 / 4

=156 / 4

=39

Answer:

327

Step-by-step explanation:

when the variables are together multiply

so

9×4=

36

36²=

1296

1296+12=

1308

1308÷4=

327

hope this helps!

The computation illustrates that the rebate fraction is 0.18

Given that : the total number of payments = 36

The number of payments made = 21

Remaining payments = 36-21 =15

We know that the sum of the digits for n payments

S = (n(n+1))/2

sum of the digits payments remaining = 15*(15+1)/2

= (15*16)/2

= 240/2

= 120

Sum of the digits number of payments = 36*(37)/2

= 1332

= 666

Rebate fraction = 120/666 =0.18

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Complete question

Calculate the missing information for the installment loan that is being paid off early.

Number of payment = 36

Payment made = 21

Payment remaining = ?

Rebate fraction = ?

If n is a multiple of 6, then n² is a multiple of 6.

To prove the statement "If n² is not a multiple of 6, then n is not a multiple of 6" using the contrapositive, we need to negate both the antecedent and the consequent of the original implication and show that the negated contrapositive is true.

Original statement: If n² is not a multiple of 6, then n is not a multiple of 6.

Contrapositive: If n is a multiple of 6, then n² is a multiple of 6.

Let's proceed with the proof:

Assumption: Assume that n is a multiple of 6. This means there exists an integer k such that n = 6k.

To prove: n² is a multiple of 6.

Proof:

Since n = 6k, we can substitute this into the expression for n²:

n² = (6k)²

= 36k²

= 6(6k²)

We can observe that n² is indeed a multiple of 6, as it can be expressed as 6 times some integer (6k²).

Conclusion: We have proved the contrapositive statement "If n is a multiple of 6, then n² is a multiple of 6."

Reflection:

Using the contrapositive was a good idea because it allowed us to transform the original implication into a statement that was easier to prove directly. In the original statement, we needed to show that if n² is not a multiple of 6, then n is not a multiple of 6. However, by using the contrapositive, we only needed to prove that if n is a multiple of 6, then n² is a multiple of 6. This was achieved by assuming n is a multiple of 6 and then showing that n² is also a multiple of 6. The contrapositive simplifies the proof by providing a more straightforward path to the desired conclusion.

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The eight letters from the first part of the alphabet (A-H) can be combined in 8x7x6 ways. The four digits from 0-9 can be combined in 10x9x8x7 ways. Therefore, the total number of probability serial numbers is 8x7x6 multiplied by 10x9x8x7, which equals 2,093,120.

Serial numbers for a product can be created by combining 3 letters followed by 4 digits. The letters are taken from the first 8 letters of the alphabet (A-H) without any repeats. The digits are taken from the 10 digits (0-9) without any repeats. To calculate the number of serial numbers that can be generated, we first need to calculate the number of possible letter combinations. Since there are 8 letters, the number of combinations is 8x7x6, or 336. To calculate the number of possible digit combinations, we need to multiply 10x9x8x7, which equals 5040. When we multiply the number of letter combinations (336) by the number of digit combinations (5040) we get 1,709,120. To this, we add the number of combinations that have a leading zero (384,000), which brings us to a total of 2,093,120 possible serial numbers.

8 x 7 x 6 = 336

10 x 9 x 8 x 7 = 5040

336 x 5040 = 1,709,120

1,709,120 + 384,000 = 2,093,120

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Answer:

b. 29°

Step-by-step explanation:

In the given diagram, the smallest angle in the diagram is ∠FLG = 29°.

When to lines are meeting at a point, then the geometrical figure is formed called an angle.

Given, four lines extend from point L.

They are lines LF, LG, LH, and LI.

∠FLI = 106°, ∠FLG = (2x - 1)°, ∠GLH = (x + 17)°, ∠HLI = (4x - 15)°

Here, ∠FLI = ∠FLG + ∠GLH + ∠HLI

106°  = (2x - 1)° + (x + 17)° + (4x - 15)°

⇒ (2x - 1)° + (x + 17)° + (4x - 15)° = 106°

⇒ (7x + 1)° = 106°

⇒ 7x = 105

⇒ x = 15

Now, ∠FLG = (2x - 1)° = (2 × 15 - 1)° = 29°

GLH = (x + 17)° = (15 + 17)° = 32°

∠HLI = (4x - 15)° = (4 × 15 - 15)° = 45°

Therefore, the smallest angle in the diagram is ∠FLG = 29°.

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Dilation of factor 5 is 5x the original size.

So AC was 5 - - - the new line, A'C' would be 5x5 = 25.

The angles do NOT change in size!

So pick option B. A'C' = 25, m<A = 37 degrees.

Answer:

x=y−6

Step-by-step explanation:

Answer:

x - y = -6

......

hope it helps!

The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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We have shown that the boundary of a generalized rectangle is the union of finitely many closed generalized rectangles with volume zero.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Let A and B be two sets in a generalized rectangle R, i.e., R = A x B. The boundary of R, denoted by bd(R), is defined as the closure of the set of points that are not in the interior of R. In other words, bd(R) = cl(R) \ int(R), where cl(R) is the closure of R and int(R) is the interior of R.

To show that bd(R) is the union of finitely many closed generalized rectangles with volume zero, we first note that the closure of R can be expressed as the union of R and its boundary, i.e., cl(R) = R ∪ bd(R). Therefore, it suffices to show that R can be expressed as the union of finitely many closed generalized rectangles with volume zero and that bd(R) can also be expressed as the union of finitely many closed generalized rectangles with volume zero.

Let (a,b) be a point in R. Then there exists an open ball B((a,b), r) around (a,b) that is contained in R, where r > 0. Without loss of generality, we can assume that r is small enough so that B((a,b), r) is a generalized rectangle. Since B((a,b), r) is open, it follows that int(R) is the union of all such generalized rectangles. Therefore, R can be expressed as the union of finitely many closed generalized rectangles with volume zero, namely the closures of all such generalized rectangles.

Next, we show that bd(R) can be expressed as the union of finitely many closed generalized rectangles with volume zero. Let (a,b) be a point in bd(R). Then every open ball B((a,b), r) around (a,b) contains points both in R and in the complement of R. By definition of bd(R), the closure of B((a,b), r) intersects both R and the complement of R. Therefore, B((a,b), r) can be expressed as the union of two closed generalized rectangles, one contained in R and one contained in the complement of R. It follows that bd(R) can be expressed as the union of finitely many closed generalized rectangles with volume zero, namely the closures of all such balls B((a,b), r) and their decompositions into closed generalized rectangles.

Therefore, we have shown that the boundary of a generalized rectangle is the union of finitely many closed generalized rectangles with volume zero.

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When a long cylinder with a diameter of 0.4 meters is removed from an oven, it is important to consider several factors, including the temperature of the oven, the material of the cylinder, and the rate at which the cylinder cools down.

This means to solve the above questions it is important to know the important terms. A tube or cylinder is a three-dimensional geometric shape formed by two identical circles aligned and a rectangle surrounding the two circles. The tube has 3 sides and 2 sides.

The diameter of a circle, in geometry, is the straight line segment that passes through the center and connects any two points on the circle, or, in modern usage, diameter means the length of the line segment.

The radius or radius of a circle is the line that connects the center of the circle to a point on the circumference of the circle. In a 3-dimensional shape, the radius connects the center of the sphere to a point on the surface of the sphere.

Materials are substances or objects from which something can be made from, or items needed to make something. Material is an input in production.

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Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle  is given as:

Area = (1/2) × base × height

Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

Area of the scaled copy = 72 unit²

Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

Hence the scaled copy area is 16 times larger than that of triangle A.

b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

base² = 144

base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4