simplify 14x - 3x + 2y - y + 3x.

We want to calculate the volume of the spherical shell of chocolate.

The chocolate shell is spherical with a thickness of 0.5cm

Volumes of spherical shells can be calculated with the formula;

The outer diameter is 8cm. The outer radius is therefore 4cm

The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm

Therefore, we can find the volume of the chocolate shell as;

Therefore,

Volume of a cube = 5 * 5 * 5; Volume of a cube = 125 The Lateral Surface Area of a Cube is Lateral Surface Area of a cube = 4 * length * length

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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The PDF of Y is g(Y) = 1/(2 × σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²)).

To find the PDF of Y, we need to use the transformation method.

Let g(Y) be the PDF of Y.

We have:

Y = 2X => X = Y/2

dx/dy = 1/2, since X = Y/2 is a linear transformation.

Using the formula for the PDF of a transformed variable, we have:

g(Y) = fX(Y/2) |dx/dy|

g(Y) = 1/(σ × √(2 × π)) × exp(-(Y/2 - mu)² / (2 × σ²)) |1/2|

g(Y) = 1/(σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²)) × 1/2

g(Y) = 1/(2 × σ × √(2 × π)) × exp(-(Y - 2 × mu)² / (8 × σ²))

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Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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The extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.

How does a clock function ?

The large hand of a clock completes a full rotation in 12 hours, or 720 minutes. This means that it moves 360 degrees in 720 minutes, or 0.5 degrees per minute. Since the length of the hand is 28 inches, we can use trigonometry to find out how far its extremity moves for a certain angle.

Calculating the length that  the extremity of the large hand of the clock moves :

The angle that the large hand moves in 20 minutes can be found by multiplying the number of minutes by the rate at which it moves:

angle = \(20 \times 0.5 = 10\) degrees

Using trigonometry, we can find the distance that the extremity of the hand moves by finding the length of the arc of the circle that corresponds to a 10-degree angle, with the radius being 28 inches:

arc length = \((angle/360) \times 2 \times \pi \times 28\)

\(= (10/360) \times 2 \times \pi \times 28\)

\(= 1.54\) inches

Therefore, the extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.

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Hundred and tenths are the relationship of 9 in the number

Answer:

The 9 in the hundreds column is ten times greater than the 9 in the tens column.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The exact volume of a cone with the same dimensions is 9428.57 cubic inches

From the question, we have the following parameters that can be used in our computation:

The cylinder

The volume of the cone with the same dimensions is calculated as

Volume = 1/3 * Volume of cylinder

So, we have

Volume = 1/3 * 22/7 * (30/2) * (30/2) * 40

Evaluate

Volume = 9428.57

Hence, the exact volume of a cone with the same dimensions is 9428.57 cubic inches

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Answer:

-19

Step-by-step explanation:

Basically, plug in the values for x and y into the expression.

So, it is basically, (x = 5, y = -3)

5 × 5 + 4 + 6 × (-3) - 6 × 5 which is equals to 25 + 4 + (-18) -30.

Using PEDMAS or BODMAS, we get -19.

The average increment is 3.

To find the average increment, we need to calculate the total increment and divide it by the number of values.

Let's calculate the increments for 8 and 12:

For 8 increased by 25%:

Increment = 8 * 0.25 = 2

For 12 increased by 33 1/3%:

Increment = 12 * (1/3) = 4

Now, let's find the average increment:

Total increment = Increment for 8 + Increment for 12 = 2 + 4 = 6

Number of values = 2

Average increment = Total increment / Number of values

= 6 / 2

= 3

Therefore, the average increment is 3.

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A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:

6,882,000 miles

Step-by-step explanation:

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

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Answer:

38

Step-by-step explanation:

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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The segment lengths are given as follows:

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:

BD² = 7 x 7

BD² = 7²

BD = 7.

The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:

(BC)² = 7² + 7²

\(BC = \sqrt{2 \times 49}\)

\(BC = 7\sqrt{2}\)

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The probability that Ms. Browning will select a blue marker both times is 1/9.

To calculate the probability that Ms. Browning will select a blue marker both times, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Ms. Browning has 3 markers in the box: 1 red, 1 blue, and 1 yellow. Since she selects a marker, uses it, and puts it back, the total number of possible outcomes for the first selection is 3.

For each outcome of the first selection, Ms. Browning again has 3 markers to choose from for the second selection.

Therefore, the total number of possible outcomes for the second selection is also 3.

To calculate the probability of selecting a blue marker both times, we need to determine the number of favorable outcomes. There is only 1 blue marker in the box, and Ms. Browning needs to select it twice.

Therefore, the number of favorable outcomes is 1.

The probability of an event is given by the ratio of favorable outcomes to total outcomes.

In this case, the probability of selecting a blue marker both times is:

Probability = (Number of favorable outcomes) / (Number of total outcomes)

= 1 / (3 × 3)

= 1 / 9

Therefore, the probability that Ms. Browning will select a blue marker both times is 1/9.

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Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

The estimated raw material Inventory balance at the end of July is $27,750.

The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:

a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:

23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds

b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.

111,000 pounds × 0.10 (10%) = 11,100 pounds

This means that the ending raw materials inventory for July should be 11,100 pounds.

c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:

11,100 pounds × $2.50/pound = $27,750

Therefore, the estimated raw material inventory balance at the end of July is $27,750.

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Answer:

8 and -4

Step-by-step explanation:

8*-4=-32

8+(-4)=4

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

40 grams

Step-by-step explanation:

Answer: 120-x

Step-by-step explanation:

Answer:

alternat interior angle

Step-by-step explanation:

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Answer:

B is the answers for the question

Step-by-step explanation:

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Answer:

(x-1) (x-3) (x+2)

Step-by-step explanation:

I hope this helps!