PLEASE PLEASE HELPP!! explanation too !!!

On solving the provided question, we can say that by unitary method 6 plate cost = $22.69 and 4 more cost = 32.49; total = 32.49+22.69 = $55.18 and cost of each plate = $5.518

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here, by unitary method

6 plate cost = $22.69

and 4 more cost = 32.49

total = 32.49+22.69 = $55.18

cost of each plate = $5.518

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The correct question is -

Pamela found a style of plate that she loves, but her local home goods store is out of stock. She decides to find the same style online. She has 6 plates in her cart right now and her total cost, including a fixed shipping cost is $22.69 . Later she decides to add 4 more plates to her cart. Her total is now $32.49 ,What is the cost of each plate?

Answer:

below

Step-by-step explanation:

sin x  is to 13    as  sin 28 is to 21

sinx /13 = sin(28)/21

sinx = 13 * sin (28) /21

sin x = .2906

x = arcsin (.2906) = 16.9°

An ordered set has the least upper bound property if and only if it has the greatest lower bound property.

Every nonempty subset A0 of an ordered set A is said to have the least upper bound property and has the lowest upper bound that is constrained above. A fulfills this requirement. Assume B0 is a set of any size with a lower bound. We must demonstrate that it has the largest lower bound. Assume LA is the collection of all the set B0's lower bounds.

∃b0∈B0,∀x∈L,x≤b0.

L is therefore bound above. So it has the lowest upper bound. Let b represent the lower limit of L.

∀x∈L,x≤b.

If  ∃b′∈B0,b′≤b, which defies the assertion that b is the lowest upper bound of L. As a result,

b≤y,∀y∈B0.

So, b is the lower bound.

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Answer:

15% tell me if im wrong

Step-by-step explanation:

(a) All the values in the last column of the truth table are T, the statement [p ^ (p V q)] → q is a tautology.

(b) All the values in the last column of the truth table are T, the statement [(p → q) ^ (q + r)] → (p + r) is a tautology.

(c) All the values in the last column of the truth table are T, the statement [p ^ (p → q)] → q is a tautology.

Here is the truth table for each of the conditional statements

a) [p ^ (p V q)] → q

p p V q p ^ (p V q) q [p ^ (p V q)] → q

T T T T T

T T T F F

T F F T T

F T F T T

F F F T T

F F F F T

Since all the values in the last column of the truth table are T, the statement [p ^ (p V q)] → q is a tautology.

b) [(p → q) ^ (q + r)] → (p + r)

p q r p → q q + r (p → q) ^ (q + r) p + r [(p → q) ^ (q + r)] → (p + r)

T T T T T T T T

T T F T T T T T

T F T F T F T T

T F F F F F T T

F T T T T T T T

F T F T T T F T

F F T T T T F T

F F F T F F F T

Since all the values in the last column of the truth table are T, the statement [(p → q) ^ (q + r)] → (p + r) is a tautology.

c) [p ^ (p → q)] → q

p p → q p ^ (p → q) q [p ^ (p → q)] → q

T T T T T

T F F T T

F T F T T

F T F T T

Since all the values in the last column of the truth table are T, the statement [p ^ (p → q)] → q is a tautology

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When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the volume occupied between the lines -

x = 4, y = x and x - axis.

Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.

Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

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If we assumes that the taxpayer has $100,000 as his income on the completed Form 1040, the total tax that the employee is responsible for paying will be $17,836.

A tax bracket is a range of incomes that are taxed at a specific rate. Tax brackets are part of a progressive tax system, which means that tax rates increase progressively as an individual's income increases. Low-income taxpayers pay relatively low tax rates, while higher-income taxpayers pay higher rates.

In 2022, for example, a single filer with taxable income of $100,000 will pay $17,836 in taxes, representing an average tax rate of 18%. However, your marginal tax rate or tax bracket is 24%. As a result, the total tax that the employee is responsible for is $17,836.

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Answer:

The point (4,0) lies on the line.

All the other answers are not applicable for this situatino.

Step-by-step explanation:

Answer:

611.05

Step-by-step explanation:

To find the number of cubic feet of water needed to fill Fred's fish tank, we need to calculate the volume of the tank. The volume of a rectangular prism (such as a fish tank) can be found by multiplying the length, width, and height together. Using the given measurements, the volume of Fred's fish tank would be:

8.3 ft * 11.5 ft * 6 ft = 611.05 cubic ft

So, Fred will need 611.05 cubic ft of water to fill his fish tank.

Answer:

(3, 4.5)

Step-by-step explanation:

x = [tex]\frac{0 + 6}{2}[/tex] = 3

y = [tex]\frac{3+6}{2}[/tex] = 4.5

Answer:

Below

Step-by-step explanation:

Put the numbers into the pythagorean theorem to see if true

12^2   + 15^2    =   18^2    ??????

144 + 225   =  324   ?????

369 = 324 ??????   <========= not true ....not a triple

The displacements are 2.84 cm, 2.77 cm, 2.83 cm and 2.83 cm respectively.

Instantaneous velocity of the particle at t =,1 is 0.72 cm/s.

a. To find the displacement of the particle at various times t, we can simply plug the given value of t into the equation s = 2 sin(t) + 3 cos(t) and evaluate:

[1, 2]: s = 2 sin(1) + 3 cos(1) = 2.84 cm

[1, 1.1]: s = 2 sin(1.1) + 3 cos(1.1) = 2.77 cm

[1, 1.01]: s = 2 sin(1.01) + 3 cos(1.01) = 2.83 cm

[1, 1.001]: s = 2 sin(1.001) + 3 cos(1.001) = 2.83 cm

b. To find the instantaneous velocity of the particle when t = 1, we need to find the derivative of the equation for displacement with respect to time, which will give us the velocity. The derivative is given by:

v(t) = ds/dt = 2 cos(t) - 3 sin(t)

Plugging in t = 1 into this equation, we find:

v(1) = 2 cos(1) - 3 sin(1) = 0.72 cm/s

So, the instantaneous velocity of the particle at t = 1 is approximately 0.72 cm/s.

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The solution of the system of equations can be seen in the image at the end, the system has infinite solutions.

Here we have the system of linear equations below:

y = 2x - 2

4x - 2y = 4

To find the solution graphically, we need to graph both of the equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen in the image below, and there you can see only one line, that is because both of the equation of our system represent the same line, and thus, the system has infinite solutions.

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Answer:

number b is the write answer

Step-by-step explanation:

-2x²-3x+4-4x²+x-2

-2x²-4x²-3x+x+4-2

-6x²-2x+2

(5, 9), open (5), close (9), is the interval graph. This interval is inequitable because:   5 < x ≤ 9

Therefore,

a) Letter A is erroneous since it implies that the graph should have two shaded areas, but this particular graph only has one.

b) Letter B is erroneous because the graph shows that there must be a parenthesis before point 5 because it is open, and point 9 must come after a because it is shaded.

c) The letter c is also wrong because it implies there are two shaded portions in the graph when there is only one.

The complete question is:

Which compound inequality can be represented by the graph below?

A) x < 5 or x ≥ 9

B) 5 ≤ x < 9

C) x ≤ 5 or x > 9

D) 5 < x ≤ 9

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The equation cos (60°) = a/12 can be used to find one of the missing side lengths in the triangle.

Trigonometric identities are equations that are true for all values of the angles in a right triangle. They express the relationships between the angles and sides of a triangle and are used to simplify trigonometric expressions or to prove that two expressions are equal.

One of the trigonometric identities is the SOH CAH TOA.

SOH: sin θ = opposite/hypotenuse

CAH: cos θ = adjacent/hypotenuse

TOA: tan θ = opposite/adjacent

Since angle CBA is 60°, the adjacent side is a, the opposite side is b, and the hypotenuse is 12 units, then:

cos θ = adjacent/hypotenuse

cos (60°) = a/12

Rearranging the equation, we can solve one of the missing side lengths, which is a.

a = 12cos(60°)

Hence, we can use the equation cos (60°) = a/12 to find the length of side a.

The problem seems incomplete, it must have been...

"Which equation can be solved to find one of the missing side lengths in the triangle? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 60 degrees. The length of side C B is a, the length of C A is b, and the length of hypotenuse A B is 12 units.

cos(60°) = 12/a

cos(60°) = 12/b

cos(60°) = b/a

cos(60°) = a/12"

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Answer:

number of commercials: 6

Number of movies: 4

Step-by-step explanation:

Let x = the number of commercials

Let y = the number of movies

30x + 110 y = 620

x + y = 10     This can be written y = 10 - x (substitute 10 - x for y)

30x + 110y = 620

30x + 110(10 - x) = 620   Distribute the 110

30x + 1100 - 110x = 620    Combine like terms

-80x + 1100 = 620   Subtract 1100 from both sides

-80x = -480   Divide both sides by -80

x = 6

There are 6 commercials.

Substitute 6 for x

x + y = 10

6 + y = 10   Subtract 6 from both sides

y = 4

There are 4 movies.

Check:

x + y = 10

6 + 4 = 10

10 = 10  checks

30x + 110y = 620

30(6) + 110(4) = 620

180 + 440 = 620

620 = 620 checks

Answer:

The average rate of change of f(x) over the interval from x = 4 to x = 8 can be calculated as follows:

\frac{f(8)-f(4)}{8-4} = \frac{11-(-4)}{8-4} = \frac{15}{4} = 3 \frac{3}{4}

Therefore, the average rate of change of f(x) over the interval from x = 4 to x = 8 is 3 \frac{3}{4}.

The average rate of change of f(x) over the interval from x = 4 to x = 8 is 3.75.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

we have the table,

x     4 5  6  7  8  9  10

f(x) -4 -2 8 10 11 14 18​

So, the value of f(4)= -4 and f(8) = 11

Now, average rate of change

= f(8)- f(4) / (8-4)

= 11 - (-4) / 4

= 15 / 4

= 3.75

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Answer: 60

Step-by-step explanation:

1. You can multiply 2*30 to get 60 and with 4 you can do 4*20 would equal 60

2. 120/60 would equal 2 so it would not have any decimals so this shows it is 60.

Answer:

calculate = 3.14159

Step-by-step explanation:

convert to degrees 189°

positive angle

[tex] 3\pi \: positive \: angle[/tex]

[tex]\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] ~\dotfill\\\\ (1+a^3)\div (1+a)\implies \cfrac{1+a^3}{1+a}\implies \cfrac{1^3+a^3}{1+a} \\\\\\ \cfrac{~~\begin{matrix} (1+a) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(1^2 - (a)(1)+a^2)}{~~\begin{matrix} 1+a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 1^2 - (a)(1)+a^2\implies \boxed{a^2-a+1}[/tex]

Currently taking discrete math so this one hits close to home haha :)

Provided that we are given the first term [tex]a_0=8[/tex], the equation is found by subtracting the previous term from the current term. The recursive equation is then used to find the following terms in the sequence.

Notice that each term decreases by three as we move along the sequence, this can be written in the form of the recursive equation:

[tex]a_n = a_n_-_1-3[/tex]

The slope of the line describes by the table is 0.1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The table represents Bike ride, where x represents the number of minutes in 'x' and y represents the number of kilometers.

We know, slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (1.0 - 0.5)/(10 - 5).

Slope(m) = 0.5/5.

Slope(m) = 0.1

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Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:

188

5

Decimal Form:

37.6

Mixed Number Form:

37

3

5

hope this helped have a nice day! :)

Answer:

Step-by-step explanation:

(124+64) /5

= 188/5

Answer is = 37.5

The intervals of the function's behavior are given as follows:

The intervals are composed by the values of x that respect each condition, as follows:

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Answer:

34 R 12

Step-by-step explanation:

I will add an explanation later, because I do not have time, I have to go somewhere.

It'll be added in at least 1 day AT MOST.

The closest value of x that would produce the box with the minimum surface area would be 117 ft.

The volume of a lidless box with height h and a square base with sides of length x is given by V = x^2 * h.

To have a volume of 117 ft^3, we have:

x^2 * h = 117

The surface area of a lidless box is given by:

A = 2x^2 + 4xh

We want to minimize this surface area while still keeping the volume of the box at 117 ft^3. To do this, we need to find an expression for h in terms of x, and then minimize A in terms of x.

From the volume equation, we can solve for h:

h = 117 / x^2

Substituting this expression into the surface area equation, we get:

A = 2x^2 + 4x * (117 / x^2)

= 2x^2 + 466 / x

Now, we can use calculus to find the minimum of A in terms of x.

The derivative of A with respect to x is:

dA/dx = 4x - 466 / x^2

Setting dA/dx equal to zero, we find the critical points:

4x - 466 / x^2 = 0

4x = 466

x = 116.5

We now need to check if x = 116.5 is a local minimum or maximum.

To do this, we need to examine the second derivative of A with respect to x:

d^2A/dx^2 = -932 / x^3

Since the second derivative is negative, this means that A has a local minimum at x = 116.5.

Hence, the value of x that produces the box with a minimum surface area is approximately 116.5 ft.

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The tip amount is closest to 18% is,  $15, So Option A is correct

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

3 Coffee 5.85

1 Diet Bev. – lg. 3.38

1 Sparkling Water 2.50

3 Ranch Chicken Sandwich 44.97

1 Classic Burger 12.95

1 Thai Stir-fry Special 11.50

2 Club Sandwich 22.98

Subtotal 104.13

Tax (13%) 13.54

Total 117.67

Tip amount 18%  =  117.67x18/100

                            =  14.11

Hence, It is closest to $15

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