The shaded region displayed in the graph does not include the dashed line. Which of the following best represents all the shaded points?

Answer:

-22

Step-by-step explanation:

To formulate the linear programming (LP) problem, we need to define the decision variables, objective function, and constraints.

Decision Variables:

Let x be the number of units of sweet A produced.

Let y be the number of units of sweet B produced.

Objective Function:

The objective is to maximize revenue, which is given by the expression 8x + 2y.

Constraints:

Ingredient Z constraint: The total units of ingredient Z used should not exceed 36.

6x + 3y <= 36

Baking time constraint: The total baking time used should not exceed 12.

x + 2y <= 12

Non-negativity constraint: The number of units produced cannot be negative.

x >= 0

y >= 0

Now, let's solve the LP problem using the graphical solution.

Step 1: Graph the constraints on a coordinate plane.

The constraint 6x + 3y <= 36 can be rewritten as y <= -2x + 12.

The constraint x + 2y <= 12 can be rewritten as y <= -0.5x + 6.

Plot these two lines on the graph and shade the feasible region.

Step 2: Determine the corner points of the feasible region.

The feasible region is the intersection of the shaded region from the constraints. Identify the corner points where the lines intersect.

Step 3: Evaluate the objective function at each corner point.

Evaluate the objective function 8x + 2y at each corner point to determine the maximum revenue.

Step 4: Find the optimal solution.

The optimal solution will be the corner point that maximizes the objective function.

By following these steps, you will be able to determine the optimal solution and maximize the revenue.

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Answer:

The answer is 7x+21

Step-by-step explanation:

You just multiply 7 by both x and 3 but keep them separate

In this scenario, the appropriate inference procedure would be the two-sample t-test for the difference between means.

Based on the given information, you would use a "two-sample t-test for the difference between two means" to estimate the difference in the average amount of TV watched by high school and college students. This procedure is suitable because you have separate random samples from two distinct groups and you're comparing their means.

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The value of the function f(3) when f(1) = 9 and f(n) = -4f(n - 1) + 4 is given by, f(3) = 132.

Given that, the function is defined as

f(1) = 9

f(n) = -4f(n - 1) + 4 ............... (i)

We have to find the value of the function for n = 3 that is the value of f(3).

Substituting n = 3 in the relation (i) we get,

f(3) = -4f(3 -1 ) + 4

f(3) = -4f(2) + 4 ..................... (ii)

Again substituting the value n = 2 in relation (i) we get,

f(2) = -4f(2 - 1) + 4

f(2) = -4f(1) + 4

f(2) = -4*9 + 4 [Putting the given value of f(1) = 9]

f(2) = - 36 + 4

f(2) = -32

Substituting the value of f(2) = -32 in the relation (ii) we get,

f(3) = -4*(-32) + 4 = 128 + 4 = 132

Hence the value of f(3) = 132.

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Answer:

3/5, 0.6, and 60%

Step-by-step explanation:

Answer:

3/5, 60%, 0.60

Step-by-step explanation:

3 ÷ 5 = 0.60

0.60 is 60% (0.60 x 100)

60% = 60%

The fundamental frequency of the first harmonic is half of this frequency.

Fundamental frequency = 2/2 = 1. So, the correct answer is option (a) 1.

To find the fundamental frequency of the first harmonic for the Fourier series of the periodic function x(t) = cos^2(t), we need to determine the frequency at which the first harmonic occurs.

The Fourier series representation of x(t) is given by:

x(t) = a0/2 + Σ[1, ∞] (ancos(nωt) + bnsin(nωt))

Where ω is the angular frequency.

For the given function x(t) = cos^2(t), we can rewrite it using the identity cos^2(t) = (1 + cos(2t))/2:

x(t) = (1 + cos(2t))/2

Now, comparing this expression with the general form of the Fourier series, we see that the frequency of the cosine term cos(2t) is 2 times the angular frequency. Therefore, the fundamental frequency of the first harmonic is half of this frequency.

Fundamental frequency = 2/2 = 1

So, the correct answer is option (a) 1.

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Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

Answer:

it's a and c

Step-by-step explanation:

I guessed and it gave me the answers

Answer:

220

Step-by-step explanation:

If we take 20 common (as in we can take it out and group the rest) , we can say 20 (15 7/9-4 7/9) which is equal to 20 (11). 20x11 = 220.  

Overall, the horizontal analysis of Blanchet Corporation's balance sheet for 2019 suggests positive growth and financial stability.

There has been a significant increase in total assets from the previous year. This indicates potential growth and expansion in the company's operations.

The liabilities have also increased, but not at the same rate as the assets. This suggests that the company may have taken on additional debt or financing to support its growth.

The retained earnings have shown a positive trend, indicating that the company has been profitable and able to retain a portion of its earnings for reinvestment or future use.

The equity section has also grown, which can be attributed to the increase in retained earnings and potentially additional capital investments.

The increase in assets and retained earnings indicates the company's ability to generate profits and reinvest in its operations. However, the increase in liabilities should be carefully monitored to ensure it is manageable and sustainable in the long term.

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Answer:

The lowest score Lisa should score is 94

Step-by-step explanation:

Average/Mean:

Let the score of the fourth test be 'x'.

It is given that the average score is 88.

    \(\sf Average = \dfrac{Sum \ of \ all \ data }{number \ of \data}\)

         \(\sf \dfrac{79+89+90+x}{4}=88\\\\\\79 + 89 +90 + x = 88 * 4\)

                      258 + x = 352

                                 x = 352 - 258

                                 x = 94

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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We will have the following:

9.

From the information provided we can obtain the following:

We know that m<3 = 75°.

m<12 = 35°, but by corresponding angles m<4 = m<12 = 35°.

Then:

Now, by opposite angles we have that m<5 = m<8 = 70°.

11. We will have the following from the information provided.

We know that m<3 = 75° and by corresponding angles m<3 = m<1 = 75°.

Answer:

\(\frac{x-2}{x-4}\)

Step-by-step explanation:

Given

\(\frac{x^2-5x+6}{x^2-7x+12}\) ← factorise numerator and denominator

= \(\frac{(x-2)(x-3)}{(x-4)(x-3)}\) ← cancel (x - 3) on numerator/ denominator

= \(\frac{x-2}{x-4}\)

Answer:

15 miles

Step-by-step explanation:

If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.

Answer:

10

Step-by-step explanation:

125 x .08 = 10

The simplification for the given expression is 16mn.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

2 x m x n x 8​

Since multiplication of two algebraic terms can be done by first multiplying their coefficients and then the variables.

Apply the above mentioned rule to get,

2 x m x n x 8​

= 2 x 8 ​x m x n

= 16 x m x n

= 16mn

Hence, the given expression is simplified as 2 x m x n x 8​ = 16mn.

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Answer:

and feet. 2. 4.81 mm. SOLUTION: The absolute error of a measurement is equal ... 1-10 Precision and Accuracy ... You are estimating the height of a person.

Step-by-step explanation:

Answer: he would save15,000

Step-by-step explanation:

Answer: x = 30

Step-by-step explanation:

Answer:

This can be done in two ways -

- horizontal

- vertical

so I chose Vertical :

The rate of return if the price of Telecom stock goes up by 10% during the next year is 12%.

The rate of return (RoR) is a rate of return that calculates the net profit or loss of an investment over a certain period of time, and is expressed as a percentage. RoR is an indicator that can be useful to see the level of efficiency in an investment. When the RoR is positive, it means that the investment is making a profit.

Conversely, when the RoR is negative, it reflects a loss in investment. The higher the percentage RoR value, the higher the level of investment you can invest. For example, if the investment is IDR 1,000,000 and has a rate of return of 22%, then the growth rate is 22%.

Based on the question above,

Buy 200 shares of Telekom stock at $50 for $10,000.

The value of these shares increases by 10% or $1,000.

Interest expense = 0.08 x 5,000 = $400

Return values are:

(price increase - interest expense) / borrowed assets

= $1000 - $400 / $5000

= 0.12 = 12%

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Answer:

67.5

Step-by-step explanation:

Answer: Divide the 2 numbers

Answer:

the answer is 67.5

Step-by-step explanation:

270/4=67.5

Answer:

Answer is the explanation below

Step-by-step explanation:

The exponent is negative because, as a positive exponent means to multiply, a negative exponent means to divide.

The rate at which the end of the person's shadow is moving from the lamppost is 4ft/sec.

Let us consider the the distance of the person from the bottom of the lamppost is = xft

therefore the length of shadow is = yft

then the formula is

x + y/15 = y/6

or, 6(x + y) = 15y

=> 6x + 6y = 15y

=> 9y = 6x

therefore, y = 2x/3

Differentiation of both sides w.r.t t

dy/dt = 2/3 × dx/dt

we know that,

dx/dt = 6 ft/sec

then,

dy/dt = 2/3 × 6 => 4 ft/sec

The rate at which the end of the person's shadow is moving from the lamppost is 4ft/sec.

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0-4 can be the domain of positive real numbers but can not be the domain of whole numbers.

Numbers an arithmetical value used in counting and calculating that is expressed as a word, symbol, or figure that represents a specific quantity.

Let's understand what is positive real numbers.

That is all the real numbers that are greater than or equal to zero.

real numbers are numbers which include both rational and irrational numbers.

whole numbers are positive integers that mean only positive integers.

that means 0-4 can be the domain of positive real numbers but can not be the domain of whole numbers because 0.5 and 0.6 these numbers are not whole numbers.

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The probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 11/12

To calculate the probability of rolling two fair six-sided dice and getting a sum of 4 or higher, we first need to calculate the total number of possible outcomes.

The number of possible outcomes when rolling two dice is 6 × 6 = 36, since each die has 6 possible outcomes.

Now, let's find the number of outcomes that result in a sum of 4 or higher. We can do this by listing all the possible outcomes:

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

Sum of 10: (4, 6), (5, 5), (6, 4) = 3 outcomes

Sum of 11: (5, 6), (6, 5) = 2 outcomes

Sum of 12: (6, 6) = 1 outcome

Therefore, the number of outcomes that result in a sum of 4 or higher is 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.

Therefore, the probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 33/36 = 11/12.

To find the probability of getting a sum of 44 or higher, we need to subtract the probability of getting a sum of 43 or lower from 1:

Sum of 2: (1, 1) = 1 outcome

Sum of 3: (1, 2), (2, 1) = 2 outcomes

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)