9.) Given the points M(3, 4) and T(6, 10) , find the coordinates of the point Q on the directed line segment MT that partitions segment MT in the of 2/3

NEED ANSWER ASAP!!

The linear programming model would include equation for profit will be Z = 0.85X + 0.9Y and production constraints are 0.3X <= Y <= 0.6X; demand constraints are X <= (5000 + 3A) and Y <= (4000 + 5B); and cost constraint are 0.6X + 0.85Y + A + B <= 16,000.

Optimal values of X, Y, A, and B that maximize profit (Z) can be determined by using Excel Solver.

The linear programming model for the given problem is shown below:

Let X be the number of jars of applesauce produced. Y be the number of bottles of apple juice produced.

The objective function will be to maximize profit, which can be calculated by the following equation:

Profit = revenue - cost

Revenue can be calculated by multiplying the number of units produced by their respective selling prices. Cost can be calculated by multiplying the number of units produced by their respective production costs. The equation for profit will be:

Z = 1.45X + 1.75Y - (0.6X + 0.85Y)

Z = 0.85X + 0.9Y

The marketing manager estimates that the demand for applesauce is a maximum of 5,000 jars, plus an additional 3 jars for each $1 spent on advertising. The maximum demand for apple juice is estimated to be 4,000 bottles, plus an additional 5 bottles for every $1 spent on promoting apple juice. The maximum amount of money that can be spent on production and advertising is $16,000.

Therefore, we can write the constraints as follows:

Production constraints:

0.3X <= Y <= 0.6X

Demand constraints:

X <= (5000 + 3A)

Y <= (4000 + 5B)

Cost constraint:

0.6X + 0.85Y + A + B <= 16,000

Where A and B are the amounts spent on advertising for applesauce and apple juice, respectively.

To solve the model by using the computer, we can use any software that solves linear programming problems.

One such software is Microsoft Excel Solver. We can set up the problem in Excel as follows:

Cell C9: 0.85X + 0.9Y

Cell C12: 0.6X + 0.85Y + A + B

Cell C13: $16,000

Cell C15: 0.3X

Cell C16: XCell C17: 0.6X

Cell C18: 5000 + 3A (for applesauce)

Cell C19: Y

Cell C20: 4000 + 5B (for apple juice)

Cell C21: A

Cell C22: B

We then use Excel Solver to find the optimal values of X, Y, A, and B that maximize profit (Z).

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Answer:

New selling price= $14.4

Step-by-step explanation:

Giving the following information:

The store offers a 20% discount. The regular price of a T-shirt is $18.

To calculate the discounted selling price, we need to use the following formula:

New selling price= selling price*(1 - discount rate)

New selling price= 18*(1-0.2)

New selling price= $14.4

Answer:

120 students chose conserving natural resources

Step-by-step explanation:

40% of 300 chose conserving natural resources, to find the number, we have,

Number of students = 40%(300)

Number of students = (0.4)(300)

Number of students = 120

Hence, 120 students chose conserving natural resources

Answer:

Step-by-step explanation:

Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

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Answer:

a.

Step-by-step explanation:

ANSWER

C. (2×+1)(×-6)

EXPLANATION

We want to find the equivalent expression to the one given.

To do that, we have to factorise the expression.

We need to separate -11x into two numbers such that the sum of those numbers is -11 and the product of those numbers is -12 (i.e. -6 * 2).

The two numbers are -12 and 1.

So, the expression becomes:

So, the equivalent expression is Option C.

The correct is (x  + 1 < 1) n (x + 1 > 1), which yields the solution set [x = 0].

Let's break it down to understand why this is the correct choice:

1. (x + 1 < 1) represents the condition where x + 1 is strictly less than 1.

  Solving this inequality: x + 1 < 1

  Subtracting 1 from both sides, we get: x < 0

2. (x + 1 > 1) represents the condition where x + 1 is strictly greater than 1.

  Solving this inequality: x + 1 > 1

  Subtracting 1 from both sides, we get: x > 0

To find the solution set for the given expression, we need to find the values of x that satisfy both conditions simultaneously.

The only value that satisfies both x < 0 and x > 0 is x = 0. Therefore, the solution set is [x = 0].

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Answer:

2631 divided by 24 = 109.625

Step-by-step explanation:

The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.

2631 divided by 24 in decimal = 109.625

2631 divided by 24 in fraction = 2631/24

2631 divided by 24 in percentage = 10962.5%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.

SPANISH:

El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.

2631 dividido por 24 en decimal = 109,625

2631 dividido por 24 en fracción = 2631/24

2631 dividido por 24 en porcentaje = 10962,5%

Tenga en cuenta que puede utilizar nuestra calculadora de última generación anterior para obtener el cociente de dos enteros o decimales cualesquiera, incluidos 2631 y 24, por supuesto.

Los repetends, si los hay, se indican en ().

La conversión se realiza automáticamente una vez que el nominador, por ejemplo, 2631, y el denominador,

no bc once multiplied it equald 0.18

Answer:

28cm^2

That is your answer.

Answer:

A = 56 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = base × height

   = 10 × 5.6

   = 56 cm²

The number of mice added to the population each year is approximately 15,721. In this situation, we have a population of mice that is growing exponentially with a growth rate (r) of 2.0 and a current population size (n) of 2,500 individuals.

To calculate the number of mice added to the population each year, we can use the formula for exponential growth:

N = N0e^(rt)

Where:
N0 = initial population size
N = final population size
r = growth rate
t = time

In this case, we know that:
N0 = 2,500
r = 2.0 (since it is given as the growth rate)
t = 1 year (since we want to find the number of mice added each year)

So, we can plug these values into the formula and solve for N:

N = 2,500e^(2.0*1)
N = 2,500e^2
N ≈ 18,221

Therefore, the number of mice added to the population each year is approximately 18,221 - 2,500 = 15,721.

It's important to note that the growth rate is a key factor in determining the rate of population growth. A higher growth rate means that the population will increase at a faster rate, while a lower growth rate means that the population will increase more slowly. In this case, a growth rate of 2.0 is relatively high, which is why the population is growing so quickly. Understanding the growth rate can help us make predictions about how a population will change over time and how it might be impacted by various factors such as disease, predation, or changes in habitat.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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Answer:

m∠DEF = 90

Explanation:

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

\(\red{➤}\:\)\(\sf AB = 5x \)

\(\red{➤}\:\)\(\sf BC = 3x+4\)

\(\\\)

\(\orange{☛}\:\)\(\sf Value \:of \:x\)

\(\\\)

Since B is midpoint of AC, therefore -

\(\\\quad\quad\quad\quad\sf AB = BC \)

\(\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered} \)

Answer:

Using the properties of parallel lines and transversals, we can find the measures of the missing angles:

m/1 = m/2 (alternate interior angles)

m/1 = m/5 + m/4 (interior angles on the same side of transversal c)

m/8 = m/5 (corresponding angles)

m/8 = m/7 + m/6 (interior angles on the same side of transversal d)

We can use these equations to solve for the missing angles:

m/4 = m/1 - m/5 = 123° - 10° = 113°

m/10 = m/1 - m/8 = 123° - 110° = 13°

m/16 = m/8 + m/7 + m/6 = 110° + m/7 + m/6

m/5 = m/8 = 110°

m/11 = m/1 - m/10 - m/5 = 123° - 13° - 110° = 0°

Note that m/11 is 0°, which means that line b and transversal c are parallel, and there is no intersection between them.

3000 patients will typically be receiving the placebo at any given time.

The number of patients beginning and terminating the placebo therapy each month must be taken into account in order to estimate the total number of patients receiving the placebo at any one moment.

A total of 1000 patients begin taking the placebo each month because half of the patients take it for three months.

We can infer that 1000 patients will continue to take the placebo for the ensuing two months, as these patients will continue to do so.

Therefore, At any given time, there would typically be the following number of patients taking the placebo:

1000 (starting in month 1) + 1000 (still taking in month 2) + 1000 (still taking in month 3) = 3000

So, on average, 3000 patients will be taking the placebo at any given time.

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Answer:

Step-by-step explanation:

4/56\8

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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Answer:

1. find the 2 points and determine their coordinates.

2. determine the difference in the rise or y-coordinates.

3. determine the difference in the run or x-coordinates.

4. place the rise over the run and divide to find slope

The factorized expressions is 3(x-4)(x-5).

We are given that;

The expression 3x² - 27x+60​

Now,

1.1.1 After simplification

-3(2x - 4y)² = -12(x-y)²

1.1.2 x+2/3*5x+1

= (3x+5)/(3x+3)

1.2.1 ny + 4z + 4y + nz

= (n+4)(y+z)

1.2.2 3x² - 27x+60

= 3(x-4)(x-5)

Therefore, by the expression the answer will be 3(x-4)(x-5).

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Answer:

Solution given:Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ

<JKL=2<MKQ

we have

<JKl+<MKQ=90°[complementary]

2<MKQ+<MKQ=90°

3<MKQ=90°

<MKQ=90°/3=30°

and <JkL=2×<MKQ=2×30°=60°

A statement that could be expressed as a percent : 'how many of the 100 yogurts in the refrigerator are strawberry'

The correct answer is an option(A)

We know that a part-to-whole ratio is nothing but a ratio that compares a part of a whole to another part of a whole.

And the percent is nothing but a part-to-whole ratio where the whole is 100.

Consider the case 'how many of the 100 yogurts in the refrigerator are strawberry.'

Let us assume that x represents the number of strawberry yogurts out of total 100 yogurts in the refrigerator'

So, a part-to-whole ratio would be x/100

We can observ ethat here whole = 100

So, we could express the number of strawberry yogurts as a percent.

The correct answer is an option(A)

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Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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