Find the missing measure:

The constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire Feasible region in three dimensions.

The linear programming model for  decision variables, objective function, and constraints.

Decision Variables:the number of gallons of frozen yogurt purchased each week as Y and the number of gallons of ice cream purchased each week as I.

Objective Function:

The objective is to maximize the total profit. The profit from frozen yogurt can be calculated as 3.60Y, and the profit from ice cream can be calculated as 4.15I. Thus, the objective function is:

Maximize Profit: Z = 3.60Y + 4.15I

Constraints:

1. Budget constraint: The total cost of frozen yogurt and ice cream should not exceed the weekly budget of $90.

  Cost Constraint: 0.75Y + 0.93I ≤ 90

2. Freezer space constraint: The total gallons of frozen yogurt and ice cream should not exceed the available freezer space of 115 gallons.

  Space Constraint: Y + I ≤ 115

3. Ice cream sales constraint: The weekly ice cream sales should be at least twice the frozen yogurt sales.

  Ice Cream Sales Constraint: I ≥ 2Y

4. Non-negativity constraint: The number of gallons for both products cannot be negative.

  Non-negativity Constraint: Y ≥ 0, I ≥ 0

The model using graphical analysis, we can plot the constraints on a graph and find the feasible region. Then, we can evaluate the objective function at each corner point of the feasible region to determine the optimal solution.

Since the constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire feasible region in three dimensions.

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\(8(2) - 2^4 \)

\((8×2) - ( 2 × 2 × 2 × 2 ) \)

\(16 - ( 4 × 4 ) \)

\(16 - 16 \)

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8(2) - 2⁴

The answer of this expression is 0.

Answer:

Step-by-step explanation:

x= 80 degrees

I think that's the answer

113-33= 80

Answer:

133+33+x=180

X=180-133-33

X=14

Answer:

27 Units^2

Step-by-step explanation:

Split it up into sections, attached below are 3 different sections.

Section 1:

5*3=15

Section 2:

2*4=8

Section 3:

4*2/2 = 4

Add all the sections together:

15+8+4 = 27 Units^2

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Please Mark Brainliest if this helped

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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Answer:

\(4\sqrt{2b}\)

Step-by-step explanation:

\(\sqrt{98b}-\sqrt{72b}+\sqrt{18b}\)

Apply radical rule \(\sqrt{ab} =\sqrt{a} \sqrt{b}\):

\(\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}\)

Factor out common term \(\sqrt{b}\):

\(\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})\)

Rewrite 98, 72 and 18:

\(\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})\)

\(\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})\)

\(\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})\)

Factor out common term \(\sqrt{2}\):

\(\implies \sqrt{b}\sqrt{2}(7 -6+3)\)

\(\implies \sqrt{b}\sqrt{2}(4)\)

\(\implies 4\sqrt{2b}\)

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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Answer: 210 fewer beads.

Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

Step-by-step explanation:

Let d be the number of drinks purchased and c be the number of candies purchased.

The inequality that represents the possible values for the number of drinks and candies purchased is:

d + c ≤ 14

This inequality states that the sum of the number of drinks and the number of candies purchased must be less than or equal to 14, which represents the constraint that Lamonte cannot purchase more than 14 drinks and candies altogether.

Answer:

h = 3

Step-by-step explanation:

Step 1: Write out equation

(6h + 8) - (3h + 2) = 15

Step 2: Distribute negative

6h + 8 - 3h - 2 = 15

Step 3: Combine like terms

3h + 6 = 15

Step 4: Subtract 6 on both sides

3h = 9

Step 5: Divide both sides by 3

h = 3

Step 6: Check Step

(6(3) + 8) - (3(3) + 2) = 15

(18 + 8) - (9 + 2) = 15

26 - 11 = 15

15 = 15

(6h + 8) - (3h + 2) = 15

Let's distribute the - to 3h + 2

6h + 8 - 3h - 2 = 15

Combine like terms

3h + 6 = 15

Subtract 6 from both sides

3h = 9

Divide both sides by 3

h = 3

Answer: Ok so when he starts with one month he has $1600 each month and add $500x for example for the second month add another $1600 and $500x and so on the x stands for however many cars he sold that day

Answer:

\( - \frac{1}{3} \geqslant - \frac{4}{5} x\)

\( \frac{1}{3} \leqslant \frac{4}{5} x\)

\(5 \leqslant 12x\)

\(12x \geqslant 5\)

\(x \geqslant \frac{5}{12} \)

Answer:

Speed of light 186000 miles/second.

it takes 500 seconds (approx 8 minutes) for light from the sun to reach Earth.

Step-by-step explanation:

Earth travels around the sun in a slightly oval-shaped orbit, known as an ellipse. Therefore, the planet's distance from the sun changes throughout the year.

However, the average distance from Earth to the sun is about 93 million miles (150 million kilometres). Scientists also call this distance one astronomical unit (AU).

A universe is a big place, and sometimes researchers use astronomical units to communicate how far celestial objects are separated from one another. For example, Jupiter orbits about 5 AU from the sun.

The distance between the earth and the sun d= velocity of light × time taken to reach light from the sun to earth

Distance from Earth to Sun=93000000 miles.

Speed of light = 186000 miles/second.

=>  \(\frac{93000,000}{186000}\)

=> 500 seconds.

=> 8.333 minutes

it takes 500 seconds (approx 8 minutes) for light from the sun to reach Earth.

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3 1/5 = y - 12/25

31/5+y = -12/25

31+y = -12/25×5

31+y = -12/5

y = -12/5-31

y = -143/5

y = -28.6

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Answer:

If I am not mistaken, the new figure will be here (view attachment, bright blue figure is the new transformation)

Answer:

For each of the following equations determine the output values Corresponding to the input value

(-2;-1;0;1;2;3)

The amount of money Sally saves is $35.

A discount is a reduction in the cost of a good or service. A discount makes the cost of a good or service cheaper.

In order to determine the amount Sally saves, multiply the percentage discount by the cost of her medical bill.

$350 x 10%

$350 x 10 / 100  

$350 x 0.1 = $35

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9514 1404 393

Answer:

  it depends. 365.05  or  3.6505×10²

Step-by-step explanation:

In the US, 365.05 is already in standard form.

In the UK, "standard form" is the same as "scientific notation", so the number would be ...

  3.6505×10²

Answer:

2x

Step-by-step explanation:

\(\bullet\ (x^2)^{\prime}=2x\\\\\bullet\ (7)^{\prime}=0\)

\(\Longrightarrow f^{\prime }\left( x\right) =\left( x^{2}+7\right)^{\prime } =(x^2)^{\prime}+(7)^{\prime}=2x\)

Answe

G=1.5

Step-by-step explanation:

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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Answer:

D by 8 yards.

Step-by-step explanation:

You have to change one unit to the other.

Hermoine ran 800 meters * 1.09 yd / m = 872 yards

Since Mary Ann ran 880 yards, hers was the longer event.

answer: b = 9metres

l = 19metres

Answer:

Dimensions are L=19, w=9, or L=9, w=19

Step-by-step explanation:

Perimeter P=2(L+W)

So,  56=2(L+W)

       28=L+W

        L=28-W

Area         A=L*W

Because A=171, so 171=L*W

Substituting the expressions: put L=28-w, to 171=L*W,

So, 171=(28-W)W

     171=28w-w²

     W²-28W+171=0

      (W-9)(W-19)=0

      W=9, or W=19

We got L=28-W before, so when w=9, put to L=28-W, so, L=19

Dimensions are L=19, w=9, or L=9, w=19

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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