LCM of 56f³g² and 70fg³.

A. 7fg²
B. 7f³g³
C. 280f³g³
D. 280fg²

Answer:

8

Step-by-step explanation:

5*3=15*2=30

158-30=128

3*8=24*2=48

5*8=40*2=80

Add it all together, it is 158

If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

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Answer:

Step-by-step explanation:

y + 5 = 3x - 18

y = 3x - 23

The solution is A

Answer:

A. y=3x-23

Step-by-step explanation:

We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.

y+5=3(x-6)

First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).

y+5=3*x + 3*-6

y+5=3x-18

5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides

y+5-5=3x-18-5

y= 3x-18-5

y=3x-23

Therefore, the correct answer is A. y=3x-23

Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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LHL is equal to RHL then limit exist

LHL is not equal to RHL then limit does not exist.

As per the given data the graph of the function is given

Here we have to determine the limit at the indicated value of a, if it was exists.

You may have found the limit from one side instead of from both sides as notated.

Now we have to find:

\($\lim _{x \rightarrow a} f(x)$\) when a = 1

We find the left hand side limit and the right hand side limit at a = 1

So,

The Left hand limit is \($\lim _{\mathrm{x} \rightarrow 1^{-}} \mathrm{f}(\mathrm{x})=\frac{3}{2}$\)

The Right hand limit is \($\lim _{x \rightarrow 1^{+}}\) f(x) = 3

Here \($\lim _{x \rightarrow 1^{-}} f(x) \neq \lim _{x \rightarrow 1^{+}} f(x)$\)

Hence \($\lim _{x \rightarrow a}\) f(x) = DNE

From the graph we find the left hand limit and the right hand limit:

If Left hand limit = Right hand limit then limit exist

If then Left hand limit ≠ Right hand limit then limit does not exist.

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Use the graph of the given function f to determine the limit at the indicated value of a, if it exists.(If an answer does not exist, enter DNE.)

Graph attached at the end of solution

you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?

Answer:x^4 +y+1

Step-by-step explanation:

If the base ten blocks shown are to be divided into 6 equal groups, you should first Exchange the 3 hundred flats for 30 ten rods. Option D

Generally, A cube is a three-dimensional solid object that is defined in geometry as having six square faces, facets, or sides, with three of these faces meeting at each vertex.

It has the appearance of a hexagon when seen from one of the corners, and the net is often represented as a cross. In addition to being one of the five Platonic solids, the cube is also the only regular hexahedron.

To divide the base ten blocks into 6 equal groups, you should first exchange the 3 hundred flats for 30 ten rods.

This will give you a total of 30 ten rods, which you can then divide into 6 equal groups of 5 ten rods each.

Alternatively, you could exchange the 3 hundred flats for 300 unit cubes and then divide the unit cubes into 6 equal groups.

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The Algorithm for a time complexity of O(n) is given at the end.

The algorithm with a time complexity of O(n) to solve the problem:

1. Initialize two variables: "min_price" to store the minimum price encountered so far and "max_profit" to store the maximum profit found so far. Set both variables to infinity or a very large number.

2. Iterate through the given prices from left to right, for each day i:

  - Update min_price as the minimum between min_price and prices[i].

  - Calculate the potential profit as prices[i] - min_price.

  - Update max_profit as the maximum between max_profit and the potential profit.

3. After the iteration, max_profit will contain the maximum profit that can be obtained by buying on one day and selling on a later day.

4. In this case, return a suitable message indicating that there is no profitable opportunity.

5. If max_profit is positive, it represents the maximum profit that can be obtained. To find the specific days i and j, iterate through the prices again and find the day i where the profit is equal to max_profit. Then, continue iterating from day i+1 to find the day j where the price achieves the maximum profit (prices[j] - prices[i]). Return the pair of days (i, j).

The Python code implementing the algorithm:

def find_optimal_days(prices):

   n = len(prices)

   min_price = float('inf')

   max_profit = 0

   buy_day = 0

   sell_day = 0

   for i in range(n):

       min_price = min(min_price, prices[i])

       potential_profit = prices[i] - min_price

       max_profit = max(max_profit, potential_profit)

       if potential_profit == max_profit:

           sell_day = i

   if max_profit <= 0:

       return "No profitable opportunity."

   for i in range(sell_day):

       if prices[sell_day] - prices[i] == max_profit:

           buy_day = i

           break

   return buy_day, sell_day

# Example usage:

prices = [7, 1, 5, 3, 6, 4]

result = find_optimal_days(prices)

print(result)

This algorithm has a time complexity of O(n), where n is the number of days (length of the prices list). It iterates through the prices list twice, but the overall complexity is linear.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

Answer:

You should circle:

15, 17, 19, 24, 25, 26, 28

Step-by-step explanation:

The values x that falls within 1 standard deviation of the mean are those which.

\(|x - 20.4| \leq 7.9\)

6

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

11

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

15

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

17

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

19

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

24

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

25

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

26

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

28

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

33

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.

Answer:

f(-10) = -1/2

f(0) = -3

Step-by-step explanation:

Here, given the equation for f(x) we want to get the value of f(x) for each value of x supplied

We proceed as follows

f(-10) = 6/-10-2 = 6/-12 = -1/2

f(0) = 6/(0-2) = 6/-2 = -3

Answer:

300 m

Step-by-step explanation:

Multiply 0.3 by 1,000. It gives you your answer of 300 m.

Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

\(a^{2} +b^{2} =c^{2}\)

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

\(a^{2} +4^{2} =5^{2}\)

Simplify it

\(a^{2} +16=25\)

Subtract both sides 16

\(a^{2} =9\)

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

Answer:

U SHOULD PUT YA DOG OUTSIDE SAVE YA CAT

Answer:

you just said your dog was eating ketchup so imma assume he's fine now

Step-by-step explanation:

Answer:

0.60 ÷ 15

Explanation: Brainliest please

Answer:

$6.07/hr. if I understand the question properly.  See below.

Step-by-step explanation:

I don't see the question, but will assume we want to find Larisa's base pay.  The $7/hr given is the average for the work sequence noted in the problem.  If this is incorrect, ignore the answer.

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

Let x be Larisa's base salary.  We are told, I think, that in one stretch of time Larisa earned an average of $7/hour.  That was composed of:

Hours  Rate($/hr)

  40           x

    3        1.5x

    6         2x

  49

Her total income over this period would be:

40x +3(1.5x) + 6(2x)  [The hours worked times the pay rate for each period]

Her average income per hour would be:

(40x +3(1.5x) + 6(2x))/49

which we are told is $7/hr.

(40x +3(1.5x) + 6(2x))/49 = 7

40x + 4.5x + 12x = 343

56.5x = 343

x = $6.07/hr

Answer:

Step-by-step explanation:

You have 35 coins. they are all quarters and nickels. if you have $3.15, how many nickels and how many quarters do you have?

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

The function's y-intercept is $60.

The equation y = 1/10x+60 can be used to express the function.

y| y 60 is the range.

The equation for the annual cost in dollars, y, based on x, the quantity of game tokens purchased for an arcade member, is represented by the following statements:

A) The function's y-intercept is $60.

B) The equation y = (1/10)x + 60 can be used to express the function.

C) y ≥ 60 is the range.

Typically, the slope-intercept form of the equation of a line is expressed as;

y = mx + c

Where;

the slope is m.

C is the y-intercept.

The input variable or domain is called x.

The output variable or range is called y.

As of right now, we're informed that a single membership costs $60 annually. This is the cost before any input, in this case, the purchase of game tokens.

It follows that the y-value intercept is $60.

According to what we've been told, members can purchase Game tokens for a discounted price of $1 for every 10 tokens. This implies;

y/x = 1/10

Thus, slope = 1/10

Putting this function's equation in slope intercept form now yields

y = (1/10)x + 60

The quantity of game tokens purchased is now limited to a minimum of 0. Thus;

Therefore, Domain; x ≤ 0

The price cannot be less than $60 since x ≤ 0.

Therefore, Range; y ≥ 60

Complete Question: A video game arcade offers a yearly membership with reduced rates for gameplay. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = y equals StartFraction 1 Over 10 EndFraction x plus 60.X + 60. The domain is all real numbers. The range is {y| y ≥ 60}.

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Step-by-step explanation:

To find the answer we first multiply 129 by 0.7 since the price descresed 30 percent. each percent is equal to 0.01.

129 * 0.7 = 90.3

Then we multiply 90.3 by 1.0875 since that is the sales tax

90.3 * 1.0875 = 98.2

so the cost is 98.2

Answer:

$98.20

Step-by-step explanation:

"30% off" refers to the discount (amount by which the original price is reduced); 100% - 30%, or 70%, refers to the sale price.  It's the latter that we want.  Multiply $129 by 0.70 to obtain the sales price, obtaining $90.30.

The final cost to Debbie is this sales price plus the 8.75% sales tax.  Multiply this $90.30 by 1.0875 to obtain the sales price:  $98.20.

Answer:

It will cost $120.00

Step-by-step explanation:

The correct answer is A. 3.5.

The value of \((mn)/(r^(2))\) if m=7, n=18, and r=6 can be found by plugging in the given values into the equation and simplifying.

Step 1: Plug in the given values:
\((mn)/(r^(2)) = (7*18)/(6^(2))\)

Step 2: Simplify the equation:
\((7*18)/(6^(2)) = (126)/(36)\)

Step 3: Simplify further:
(126)/(36) = 3.5

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