Which of the following gives 54 as a product of its prime factors?
) 6x9
2x3 x 9
2x 3 x 3 x 3

​

Answer: 7.5 each

Step-by-step explanation:

15/2

60

Step-by-step explanation:

6x10=60

Answer:

5/8

Step-by-step explanation:

The project is considered to be complete when the EV is equal to the AC. So option b is correct.

When a project is considered complete, it means that the total amount of work that was planned to be done (referred to as the Budget at Completion or BAC) has actually been completed and the amount spent on completing the work so far EV is equal to the BAC.

In project management, Earned Value (EV) and Actual Cost (AC) are two key measurements used to quantify the exhibition of a project.

Earned Value (EV) addresses the arranged value of the work that has been finished. It is calculated by multiplying the arranged completion rate by the Budget at Completion (BAC).

Actual Cost (AC) addresses the actual measure of cash spent on the project in a limited way of time. It is the amount of the multitude of costs caused for the finished work and the work underway.

At the point when the Earned Value (EV) is equivalent to the Actual Cost (AC), it implies that all the arranged work has been finished and all the budget has been spent.

This is a decent indication that the project is on target and is probably going to be finished within the arranged budget.

Thus, when the Earned Value (EV) is equivalent to the Actual Cost (AC), the project is thought of as complete.

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Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

Answer:

C. 9

Step-by-step explanation:

To find the number we add to complete the square, we do (b/2)², or take b (which is 6), divide by 2 (which gives us 3), then square the result (which gives us 9):

6/2 = 3

3² = 9

Answer: 9

Step-by-step explanation: To complete the square, we need a number to create a perfect square trinomial on the left side of the equation.

So the question is, what is that number?

Well it comes from a formula.

The number that we will need to complete the square will always

come from half the coefficient of the middle term squared.

In this case, that's half of 6 which is 3, squared, which is 9.

So we add 9 to both sides of the equation.

This will now allow the left side of the equation to factor.

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

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Equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are

x² + (y - 3)² = 36 and x² + (y + 8)² = 36

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

Given equations

⇒ x² + (y - 3)² = 36

comparing with general equation of circle

( x - h )² + ( y - k )² = r²

Center (h , k) = (0 , 3)

Center is on y - axis

Radius r = √36 = 6units

Diameter = 2r = 2×6 = 12units

⇒ x² + (y - 5)² = 6

comparing with general equation of circle

( x - h )² + ( y - k )² = r²

Center (h , k) = (0 , 5)

Center is on y-axis

Radius r = √6 units

Diameter = 2r = 2√6 units

⇒ (x – 4)² + y² = 36

comparing with general equation of circle

( x - h )² + ( y - k )² = r²

Center (h , k) = (4 , 0)

Center is on x-axis

Radius r = √36 = 6units

Diameter = 2r = 2×6 = 12units

⇒ (x + 6)² + y² = 144

comparing with general equation of circle

( x - h )² + ( y - k )² = r²

Center (h , k) = (-6 , 0)

center is on x-axis

Radius r = √144 = 16units

Diameter = 2r = 2×16 = 32units

⇒ x² + (y + 8)² = 36

comparing with general equation of circle

( x - h )² + ( y - k )² = r²

Center (h , k) = (0 , -8)

Center is on y-axis.

Radius r = √36 = 6units

Diameter = 2r = 2×6 = 12units

Hence, equation x² + (y - 3)² = 36 and x² + (y + 8)² = 36 represents the circle with diameter 12 units and a center that lies on y-axis.

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The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.

To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.

We are given that the weight of each packet is 2 1/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.

Therefore, the weight of each packet is 15/7 pounds.

Now, divide the total weight by the weight of each packet.

We are given that the total weight of the supplies shipped out is 34 2/7 pounds.

To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.

This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.

Therefore, the total weight of the supplies is 240/7 pounds.

To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.

This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.

Therefore, Mikey shipped out 16 packets of electrical supplies.

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Answer:

-390 is your answer

Answer:

Step-by-step explanation:

PEDMAS - Parenthesis , Exponents ,  Division, Multiplication , Addition and subtraction.

(-9 - 6 *5) *10 = (-9 - 30) *10

                     = -39 *10

                     = -390

9514 1404 393

Answer:

  -6 or -8, depending on what you mean

Step-by-step explanation:

(-2)3 = -(2)(3) = -6

__

(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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The end result, when rounded to the closest hundredth, is roughly 646.0 cubic centimeters.

Each item in three dimensions takes up some room. The amount of this area is what is being evaluated. The area filled within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as an object's potential.

To find the volume of the composite solid, we need to find the volumes of the cube and the half-sphere and add them together.

The volume of the cube is given by:

V_cube = (length)³ = 8³ = 512 cubic centimeters

The volume of the half-sphere is half the volume of a full sphere with radius equal to the side length of the cube (since the sphere is placed on top of the cube and only covers half of it). The radius of the sphere is 8/2 = 4 centimeters.

A spheroid with radius r has the following volume formula:

V_sphere = (4/3)πr³

So, the volume of the half-sphere is:

V_half-sphere = (1/2) V_sphere = (1/2)(4/3)π(4)³ ≈ 134.0 cubic centimeters

Therefore, the volume of the composite solid is:

V_composite = V_cube + V_half-sphere = 512 + 134.0 ≈ 646.0 cubic centimeters

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By using what we know about polynomials, we will see that the missing side measures 8x - 1

The perimeter of a triangle is just the sum of its 3 sides, in the image the two known sides are: 3x - 5 and x + 2, and the missing side measures p(x).

Then we will have that the perimeter is the sum of these 3 lengths:

13x - 4  = 3x - 5 + 2x + 2 + p(x)

13x - 4 = 5x - 3 + p(x)

Now we can assume that p(x) is also a linear polynomial, so:

p(x) = a*x + b

Then we have:

13x - 4 = 5x - 3 + a*x + b

This means that:

5 + a = 13

-3 + b = -4

Solving these we get:

a = 13 - 5 = 8

b = -4 + 3 = -1

This means that the missing length is:

p(x) = 8x - 1

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Answer: Choice A

-8x - 2y - 6

====================================================

Work Shown:

-5x + 2y - 3x - 6 - 4y

(-5x-3x) + (2y-4y) - 6

-8x - 2y - 6

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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The unknown angle in the cyclic quadrilateral is as follows:

∠R = 86 degrees

The diagram above is cyclic quadrilateral. A cyclic quadrilateral is a four sided shape that can be inscribed into a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees. The opposite angles in a cyclic quadrilateral is supplementary.

Hence, let's find the unknown angle.

∠R = 1 / 2 (92 + 80)

∠R = 1 / 2 (172)

∠R = 86 degrees

Therefore, the unknown angle is 86 degrees.

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Answer:

1/36

Step-by-step explanation:

The chance of you rolling a 5 is 1/6

While the chance of you rolling a 3 is a 1/6

If you want both a 5 then a 3 then you multiply the fractions

1/6 * 1/6 = 1/36

Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

a) A table and a graph for this situation is shown in the image below.

b) You can use the table or graph to predict how many weeks it will take Martha to earn enough money to pay for the new computer by comparing the week when her savings are both equal.

c) Since the x-value and y-value in both the table and the graph increase simultaneously, it is an example of linear growth.

In this scenario, the variable x would represent the number of weeks while the variable y would represent the total amount of savings. Since Martha received $200 for her birthday and makes $150 each week, a linear equation in slope-intercept form that models the situation is given by;

y = mx + c

y = 150x + 200

Next, we would use an online graphing calculator to make a table and a graph for this situation as shown in the image attached below.

Part b.

The table and the graph both have the total amount of savings (y) equal to $1,850 when x is equal to 11 weeks. This ultimately implies that, it would take Martha between 11 weeks to save enough money to buy this new computer.

Part c.

By critically observing the table and the graph, we can logically deduce that there is a linear relationship between the variables because both the x-value and y-value increase simultaneously.

Therefore, this is an example of a linear growth.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Step-by-step explanation:

When dividing by 10,000, shift the decimal place 4 places to the left.

4509 => 0.4509

4,509/10,000 = 0.4509.

4,509/10,000 as a decimal number is 0.4509.

Decimals are used to write a number that is not whole.

Given a fraction, 4,509/10,000

Dividing by 10,000, shift the decimal place 4 places to the left.

Therefore, 4,509/10,000 = 0.4509.

Hence, 4,509/10,000 as a decimal number is 0.4509.

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Answer:

5

Step-by-step explanation:

because 10 divided by 2 is 5