Albert wants to buy two pomegranates and some peaches·The price of one pomegranates is $1.59.·The price of peaches is $1.19 per pound.Albert wants to spend no more that $10.00.How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00A: 4B: 5C: 6D: 7

The direction and angle of rotation include the following: C. 180° counterclockwise rotation.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point A (-6, 5)  →  Coordinates of point A' = (6, -5)

In conclusion, this transformation rule (x, y) → (-x, -y) is used for the 180° rotation of a geometric figure about the origin in a clockwise or counterclockwise (anticlockwise) direction.

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Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Using sampling concepts, it is found that a population of all the students in those two colleges would be appropriate for study.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of students is taken from two colleges, hence a population of all the students in those two colleges would be appropriate for study.

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The sinusoidal function that matches the specified graph, expressed using π ≈ 3.1416 is; y ≈ 4·sin(0.628·(x + 3))

A sinusoidal function is a periodic function that is based on either the sine or the cosine function.

The general form of a sinusoidal function is; y = A·cos(B·(x - C)) + D

The peak and the trough of the graph of the function indicates that the amplitude, A = (4 - (-4))/2 = 4

The vertical shift, D = (4 + (-4))/2 = 0

The period, P = 2·π/B

A cycle is completed in -0.5 - (-10.5) = 10 units of the x-value interval

P = 10 = 2·π/B

Therefore; B = π/5

When x = -8, y = 0, therefore;

0 = 4·sin((π/5)·((-8) - C)) + 0

4·sin((π/5)·((-8) - C)) = 0

sin((π/5)·((-8) - C)) = 0

(π/5)·((-8) - C) = 0

((-8) - C)  = 0

C = -8

When x = 2, y = 0, therefore;

0 = 4·sin((π/5)·(2 - C)) + 0

4·sin((π/5)·(2 - C)) = 0

sin((π/5)·(2 - C)) = 0

(π/5)·(2 - C) = 0

(2 - C)  = 0

C = 2

Similarly; When x = -3, y = 0, therefore; C = -3

y = 4·sin((π/5)·(x + 3))

The value C = -3, corresponds to the horizontal shift of the graph of the sine function, which is shifted 3 units to the left

The sinusoidal function, where π ≈ 3.1416 is therefore;

y ≈ 4·sin((0.628)·(x + 3))

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To find the average rate of change, use the formula:

Interval, (a, b) = (-2, 3]

Let's find the average rate of change:

Average rate of change is:

Interval, (a, b) = [4,5]

Let's solve for f(a) and f(b):

Average rate of change =

interval, (a,b) = (-3, 4)

Solve for f(a) and f(b)

interval, (a,b) =[-1, 1)

Answer:

Ten miles

Step-by-step explanation:

Use this inequality

20 + 3m = 5m

Answer: I beleve it is c hope this helps

Step-by-step explanation:

The transformation of the function with vertical stretching is given by the relation f ( x ) = 2 ( 1/6 )ˣ

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = ( 1/6 )ˣ   be equation (1)

And , on stretching the function by a vertical factor of 2 , we get

f ( x ) = 2 ( 1/6 )ˣ   be equation (2)

Therefore , the value of f ( x ) is 2 ( 1/6 )ˣ and the graph is plotted

Hence , the transformed function is f ( x ) = 2 ( 1/6 )ˣ

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Answer:

At x = 13, the expression inside the absolute value bars becomes 0, so F(13) = |0| + 11 = 11. Therefore, the vertex of the graph of F(x) is the point (13, 11).

Step-by-step explanation:

The graph of the function F(x) = |x - 13| + 11 is the graph of the absolute value function shifted 13 units to the right and 11 units up from the origin. The vertex of this graph is the point where the absolute value function changes direction, which is at the point (13, 11).

To see why this is the case, consider the definition of the absolute value function:

|x| = x, if x >= 0

|x| = -x, if x < 0

The function F(x) = |x - 13| + 11 is a translation of the absolute value function by 13 units to the right and 11 units up. This means that the vertex of the graph will occur at the point where the absolute value function changes direction, which is at x = 13.

At x = 13, the expression inside the absolute value bars becomes 0, so F(13) = |0| + 11 = 11. Therefore, the vertex of the graph of F(x) is the point (13, 11).

Answer:

x = 11.5

Step-by-step explanation:

using the sine ratio in the right triangle

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{23}\) ( multiply both sides by 23 )

23 × sin30° = x , then

x = 11.5

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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Answer:

Using a graphing calc.

Step-by-step explanation:

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

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The positive integer for the trigonometric equation is k = 2

Given data ,

There is exactly one real x ∈ (0, π/2) such that (tan²x/2)(cot⁴x+1) ( csc²x+tan²x)=1

On simplifying , we get

(tan²x/2)(cot⁴x+1)(csc²x+tan²x) = 1

(sin²x/cos²x)(cos⁴x/sin⁴x + 1)(1/sin²x + sin²x/cos²x) = 1

(sin²x/cos²x)(1/cos⁴x + sin⁴x/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1

(sin²x/cos²x)((1+sin⁴x)/cos⁴x + 1/sin²x + sin⁴x/cos²x) = 1

(sin⁶x + sin⁴x cos²x + cos⁶x)/(sin²x cos⁴x) = 1

On further simplification of the trigonometric relation , we get

(sin²x + cos²x)²/(sin²x cos⁴x) = 1

(1/cos⁴x) + (2/sin²x cos²x) + (1/sin⁴x) = 1

Multiplying both sides by sin⁴x cos⁴x, we get:

sin⁴x + 2 cos²x + cos⁴x = sin⁴x cos⁴x

Simplifying further, we get:

cos⁴x - 2 cos²x + sin⁴x = 0

Let y = cos²x. Then, the above equation becomes:

y² - 2y + (1 - y)² = 0

Expanding and simplifying, we get:

y² - 2y + 1 = 0

This is a quadratic equation with solutions y = 1 and y = 1/2. Since x is in the interval (0, π/2), we can take y = cos²x = 1/2.

Now, we have cos²x = 1/2 and sin²x = 1 - cos²x = 1/2. Therefore, we can write:

cos²(2019x) = cos²x⁴ = (cos²x)²² = (1/2)²² = 2⁻⁴

sinⁿx = (sin²x)^(n/2) = (1/2)^(n/2)

So, we need to find the positive integer k such that cos²(2019x) = sinᵏx. Substituting the values of cos²x and sin²x, we get:

2⁻⁴ = (1/2)^(k/2)

2⁻⁴ = 2^(-2k)

-4 = -2k

k = 2

Hence , the positive integer k is 2

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a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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Answer:

Step-by-step explanation:

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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The numeric values of the function are given as follows:

When x = 1, the function has a closed value on the graph at y = 4, hence:

g(1) = 4.

When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:

g(-12) = -10.

The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:

g(x) = -6 for -8 ≤ x < -1.

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Answer:Volveran a coincidir a los 360 minutos = 6 horas

Step-by-step explanation:

Primero se obtiene el MCM del tiempo que transcurre cuando suenan...

40, 45, 60 / 2

20, 45, 30 / 2

10, 45, 15 / 2

5,  45,  15 / 3

5,  15,   5 / 3

5,   5,   5 / 5

   1

Procedemos a multipicar todos los numeros obtenidos

The graph is plotted and attached

The oxygen level will be increasing as time goes on

In 0.5 weeks the oxygen level will return to 75% of its normal level

This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.

The graph is plotted and attached

From the problem. the normal level of oxygen is at f(0) = 1

75% of 1 = 0.75

From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.

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Answer:

There is no variable so it would just be 42

Step-by-step explanation:

3+4*6

Answer:

so the answer is 42

Step-by-step explanation:

(3+4) = 7 x 6= 42

distributive property is  multiplication over addition

Answer:

I don't know, but the answer is 5.443

Step-by-step explanation:

2.5x = 60

x = 60 / 2.5

x = 24

Answer:

I have made it in above picture

hope it helps

Answer:

4 because 6th floor has no office

Answer:

5 floors

Step-by-step explanation:

Fewer than 80 makes it 0-79

So,

0-79 => 5 floors

Answer:

$8.75

Step-by-step explanation:

The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket

Answer:

I got 3 if it's correct I hope this helped

Step-by-step explanation:

58 - 31 = 27

27 divided by 9 = 3

that's how I got my answer!