I don’t understand how to do this equation 12x when x =6

Answer:\

\(10^{7}\)

Step-by-step explanation:

keep the number, add the exponents

The amount of soil needed to fill the garden box is given as follows:

1728 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

V = 19 x 12 x 6 + 10 x 3 x 12

V = 1728 ft³.

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Answer:120 yards

Step-by-step explanation:

10/5=2 2*60= 120 yards

The area of one petal of the rose curve r = 5 sin(2θ) is π/16 square units. The calculation involves integrating 1/2 r^2 dθ from 0 to π/4, where r = 5 sin(2θ).

To find the area of one petal of the rose curve r = 5sin(2θ) over limit of [0, π/4], we use the formula for the area in polar coordinates

A = (1/2 \(\int\limits^a_b\) (f(θ))^2 dθ.

Substituting f(θ) = 5sin(2θ), a = 0 is upper limit of integral, and b = π/4 is lower limit of integral, we get

A = (1/2)\(\int\limits^0_\(\pi /4\) (5sin(2θ))^2 dθ

= (1/2)\(\int\limits^0_\(\pi /4\) 25sin^2(2θ) dθ

= (1/2)\(\int\limits^0_\(\pi /4\) (1 - cos(4θ))/2 dθ

= (1/4)\(\int\limits^0_\(\pi /4\) (1 - cos(4θ)) dθ

evaluating the limit

= (1/4)(π/4 - (1/4)sin(π))

Simplifying, we get

A = (1/16)(π - sin(π))

= (1/16)(π - 0)

= π/16

Therefore, the area of region of one petal of the rose curve is π/16 square units.

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

\(32x^{2} + 1 / 16x\)

Step-by-step explanation:

x2+1/4x4

2x+(1/4*4x)

2x+(1/16x)

= 32x^2+1/16x

Answer:

1/12

Step-by-step explanation:

1/4*3

Answer:

Step-by-step explanation:

d + 19 c

4d+31c

x=6 y=-9

that is the answer

Answer:

G < 23/3

Step-by-step explanation:

10g - 8g - 9 < -g + 14

2g - 9 < -g + 14

3g - 9 < 14

3g < 23

g < 23/3

Answer:

x= -10

y= -4

Step-by-step explanation:

Given data

3x+1=8y----------------1

11y-3x=-11--------------2

rearange

3x-8y=-1------------------1

-3x+11y=-11---------------2

add 1 and 2

3x-8y=-1------------------1

-3x+11y=-11---------------2

0+ 3y= -12

y= -12/3

y= -4

put y= -4 in 2

11y-3x=-11

11(-4)-3x=-11

-44-3x=-11

-44+11=3x

-33= 3x

x= -33/3

x= -10

The circumference of the circular test track is 3.3 km. When a car travels around the track from the southernmost point to the northernmost point, it covers the entire circumference of the track.

To calculate the distance traveled by the car, we can use the formula: distance = circumference.

In this case, the distance traveled by the car is equal to the circumference of the track, which is 3.3 km.

So, when the car completes one full lap around the track, it will have traveled a distance of 3.3 km.

If the car completes multiple laps around the track, the total distance traveled will depend on the number of laps. For example:

- If the car completes 2 laps, the total distance traveled will be 2 times the circumference, which is 2 * 3.3 km = 6.6 km.
- If the car completes 3 laps, the total distance traveled will be 3 times the circumference, which is 3 * 3.3 km = 9.9 km.

Therefore, the distance traveled by the car around the circular test track depends on the number of laps completed.

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Answer: 2021

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

The coordinate of vertex R is (-3, 2 + 4√3).

To find the coordinate of vertex R, we need to know the length of one side of the equilateral triangle. Since the triangle is equilateral, all three sides are of equal length.

The distance between points P and Q can be found using the distance formula:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

d = √[(5 - (-3))^2 + (2 - 2)^2]

d = √[8^2 + 0]

d = √64

d = 8

So, PQ has a length of 8.

To find the midpoint of PQ, we can use the midpoint formula:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

Midpoint = [(-3 + 5)/2, (2 + 2)/2]

Midpoint = [1, 2]

This midpoint is also the midpoint of the equilateral triangle since it is equidistant from all three vertices.

To find the coordinate of vertex R, we need to find the point that is 8 units away from the midpoint in any direction. Since the triangle is equilateral, we know that the point must be 8 units away from the midpoint in a direction that is 120 degrees counterclockwise from the line segment PQ.

To find this point, we can use the following formula:

(x, y) = (h + r cosθ, k + r sinθ)

Where (h, k) is the center of the circle, r is the radius (in this case, 8), and θ is the angle in radians.

The center of the circle is the midpoint of PQ, which we already found to be (1, 2).

θ is 120 degrees counterclockwise from the line segment PQ. To convert this to radians, we can use the formula:

radians = degrees x π/180

θ = 120 x π/180

θ = 2π/3

Now we can plug in these values to find the coordinate of vertex R:

(x, y) = (1 + 8 cos(2π/3), 2 + 8 sin(2π/3))

(x, y) = (1 - 4, 2 + 4√3)

(x, y) = (-3, 2 + 4√3)

Therefore, the coordinate of vertex R is (-3, 2 + 4√3).

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Answer: B

Step-by-step explanation:

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

In interval notation, the the solution set in interval notation. (5)/(y-4)<9 is   (41/9, ∞).

Inequality is a mathematical statement that two values or expressions are not equal. It is represented by symbols, like >, <, or ≠, and is used to compare quantities or values.

To solve the inequality (5)/(y-4)<9, we need to isolate the variable on one side of the inequality. We can do this by multiplying both sides of the inequality by (y-4) and then simplifying.

(5)/(y-4)<9

5 < 9(y-4)

5 < 9y - 36

41 < 9y

y > 41/9

This means that any value of y greater than 41/9 will satisfy the inequality.

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Answer: 14.855

Step-by-step explanation: 27.425 - 12.570 = 14.855

The sequence for just 49 flips in one case or 50 flips in the other case. This increases the probability of guessing correctly since you have a smaller set of options to consider.

To maximize the probability of guessing the correct sequence when flipping a coin 100 times in a sequence, you can ask the following yes/no question:

"Is the outcome of the 50th flip heads?"

By asking about the specific outcome of the 50th flip, you effectively divide the sequence into two equal halves. If the answer to your question is "yes," it tells you the result of the 50th flip. You can then focus on guessing the sequence for the first half, which consists of the first 49 flips. If the answer is "no," it means the outcome of the 50th flip is tails, and you can concentrate on guessing the sequence for the second half, which includes flips 51 to 100.

By narrowing down your focus to one half of the sequence, you effectively reduce the number of possibilities you need to consider. Instead of guessing the entire 100-flip sequence, you now have to guess the sequence for just 49 flips in one case or 50 flips in the other case. This increases the probability of guessing correctly since you have a smaller set of options to consider.

Keep in mind that this approach assumes that the coin flips are independent and random. However, if there are any biases or patterns in the coin flips, this strategy may not be as effective.

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

162 ft^2

Step-by-step explanation:

the formula for finding the area of a triangle is \(\frac{b*h}{2}\)

the base is 27 and the height is 12

\(\frac{27*12}{2}=\frac{324}{2} = 162\)

(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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Answer:

\(2\sqrt{3}+3\)

Step-by-step explanation:

\($\frac{3}{2 \sqrt 3 - 3}$\)

Rationalize the fraction.

\($\frac{3}{2 \sqrt 3 - 3}\cdot \frac{2 \sqrt 3 + 3}{2 \sqrt 3 + 3} =\frac{6\sqrt{3}+9 }{12-9} =\frac{6\sqrt{3}+9 }{3} =2\sqrt{3}+3 $\)

Note that I used the positive signal because we would have a difference of squares.

Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

Answer:

answer is in explanation

Step-by-step explanation:

with multiplication of fractions just have to multiply horizontally across.