41. angle in a parallelogram a parallelogram has sides of length 25.9 cm and 32.5 cm.
the longer diagonal has length 57.8 cm. find the measure of the angle opposite the longer diagonal.

50%

since 98/2 = 49

Thats it

The total is 100 cartons.

So, if there are 27 remained, that's means that 73 milk cartons were taken (100 - 27 = 73).

The ratio is \(\frac{73 (number of milk cartons taken)}{100 (total)}\)

or 73%

The graph of the linear function f(x) = -3x/4 - 4 is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The function for this problem is given as follows:

f(x) = -3x/4 - 4.

Hence the meaning of the slope and of the intercept is given as follows:

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ4

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

Answer:

15t+9 ft

Step-by-step explanation:

Given data

Width=  6t-1.5 ft

Length= 1.5t+6 ft

Required

The perimeter

The expression for perimeter is

P= 2L+2W

P= 2(1.5t+6)+ 2(6t-1.5)

open bracket

P= 3t+12+ 12t-3

collect like terms

P= 3t+12t+12-3

P= 15t+9 ft

Hence the perimeter is  15t+9 ft

The curve that shows the total project costs of all possible project durations can help us determine the optimal duration for the project. Let's answer the questions one by one:

1. What is the least cost duration?
The least cost duration is the point on the curve where the cost is minimized. This means finding the lowest point on the curve. By locating the lowest point, we can identify the duration that results in the least cost.

2. What is the least duration cost?
The least duration cost refers to the point on the curve where the duration is minimized. This means finding the shortest duration on the curve. By locating this point, we can determine the cost associated with the shortest duration.

3. What is the all crashed duration?
The all crashed duration refers to the minimum possible duration of the project. In project management, crashing refers to the process of shortening the project duration by assigning additional resources to critical tasks. The all crashed duration is the minimum duration achievable by allocating maximum resources to all critical tasks. It represents the shortest possible time to complete the project.

It's important to note that the specific values for the least cost duration, the least duration cost, and the all crashed duration will vary depending on the details of the project and the specific curve representing the costs and durations.

Learn more about curve

https://brainly.com/question/32496411

#SPJ11

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

(b) Consumer surplus ≈ 434

(c) 434 dotars (d)  -1155 dotars.

To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).

To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.

Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x

Setting D(x) equal to S(x):
61 - x = 22 + 0.5x

Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:

P_C = $30
D(\(x_C\)) = 61 - \(x_C\)

Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30

Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31

(b) The point (\(x_C\), \(P_C\)) is (31, $30).

To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.

Consumer surplus

\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from

0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434

(c) The new consumer surplus is approximately 434 dotars.

To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).

Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)

To know more about function click-
http://brainly.com/question/25841119
#SPJ11

Hey there! I'm happy to help!

This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.

Have a wonderful day! :D

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

domain : -5, -2, -1, 0

range: 1, 3, 4

The range between a drug's effective dose and its toxic dose is called the theurapeutic index.

The therapeutic index, often known as the therapeutic ratio, is a numerical evaluation of a drug's relative safety. The amount of a therapeutic agent that has a therapeutic impact is compared to the amount that has a harmful effect.

A range of doses calibrated between efficacy and toxicity, achieving the maximum therapeutic benefit without producing intolerable side-effects or toxicity, is referred to as the therapeutic window or safety window.

Learn more on drug effective dose here: https://brainly.com/question/28354788

#SPJ4

Answer:

x+4

Step-by-step explanation:

Answer:

i think it will weigh 8 ounces

Step-by-step explanation:

if one can plus it is equal to 2 itll will be balenced

Divide both numbers by 2:

34/2 = 17

78/2 = 39

34/78 = 17/39

Answer:

Find GCD (Greatest Common Factor) for both numerator & denominator.

The GCF for 34 & 78 is 2

step 3 divide the numerator & denominator by GCD 2 and rewrite the fraction

= (34/2) / (78/2)

= 17/39

Thus, 17/39 is the simplified fraction for 34/78 by using the GCD or HCF method

Step-by-step explanation:

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ4

A picking list is used by forklift drivers to let them know how much of each item to get from specific storage areas in a distribution center.

Explanation:

A picking list is a document that is used by forklift drivers and other warehouse personnel to identify the specific items and quantities that need to be picked from specific storage locations in a distribution center.

The picking list typically contains information such as the item number, description, location, and quantity needed for each item. It may also include other details such as the customer's name, order number, and delivery date.

The purpose of the picking list is to ensure that the correct items are picked in the correct quantities, and that they are picked from the correct storage locations. This helps to ensure that orders are filled accurately and efficiently, and that inventory levels are properly managed.

Once the items are picked, the picking list may be used to update inventory records and to generate packing slips or other shipping documents. The picking list is an essential tool in the warehouse and distribution process, and it helps to ensure that customers receive the correct products on time.

Know more about the storage locations click here:

https://brainly.com/question/15993285

#SPJ11

Answer:

0.875 feet

Step-by-step explanation:

21 divided by 24

Answer/Step-by-step explanation:

Earns per hour: $5.50

1 time fee : $2

Total = $35

( h - hours)

Equation :

5.50h + 2 = 35

First step is to suntract 2 from each side:

5.50h + 2 - 2 = 35 - 2

Simplify

5.50h = 33

Divide each side by 5.50 to seprate h from the numbers:

5.50h/5.50 = 33/ 5.50

H = 6

ANSWER: 6 hours

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

0.375

cannot be simplified more.

Step-by-step explanation:

three is prime, meaning it can only be divided by 1 and itself. When you see a prime in a fraction, you cannot simplify anymore without accidentally making it more complicated. Divided would just be the decimal form. The decimal form of 1/8 is 0.125, so if you multiply it by three you should get 3/8=0.375

Answer:

The answer is 3.95

Step-by-step explanation:

0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?

0 + 1 + 1.2 + 1 + .75 = 3.95

Answer:

86x

Step-by-step explanation:

I hope this helps you

let's write -3 for x

f(-3)=4.(-3)^2+7.(-3)

f(-3)=4.9-21

f(-3)=36-21

f(-3)=15

Answer:

A) B.R(-9)?

Step-by-step explanation:

Answer:

17 - 42

18 - 50

Step-by-step explanation:

17)

You know the total measurement of both angles is 180.

So your formula is (2x+54) + x = 180. Now rearrange to get

180 - (2x+54) = x or 180-2x+54 =x

Simply to -2x+126 = x followed by moving x and moving 126 to get

-3x = -126 , now divide both sides by -3

18)

Your complete circle is 360 and  you know one angle is 90.

Set your formula to 360=90+(3x)+(x-20)+(2x-10)

Rewrite to 360 = 90+3x+x-20+2x-10 and combine like terms

360 = 90 - 20 - 10 + 3x + x+2x

360 = 60 + 6x

360 - 60 = 6x

300 = 6x

300/6 = x

50 = x

Answer:

Step-by-step explanation:

you have to

first multiply the numbers you have in the column with the ones in the rows

8x* 5x = 40x² top left

8x* (-3) = -24x bottom left

-1 * 5x = -5x top right

-1* (-3) = 3 bottom right

second add and subtract all

40x²-24x-5x+3 = 40x²-29x+3

Answer:

\(\sqrt{88}\)

Step-by-step explanation:

The geometric mean of 11 and 8 is equal to \(\sqrt{88}\).

According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.

The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition

\(\frac{a}{b}=\frac{b}{c}\)

The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.

The geometric mean is the positive square root of the product of two numbers.

For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.

If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.

So, the geometric mean is equal to \(\sqrt{a.b}\)

Here, a = 11 and b = 8

The geometric mean of this is equal to = \(\sqrt{11.8}\) = \(\sqrt{88}\)

Learn more about geometric mean at:

https://brainly.com/question/29199001

#SPJ2

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:64

Step-by-step explanation:8(-2)(-4)

64

The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.

To answer your question, let's break it down into the different expressions:

1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.

2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.

3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.

4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.

To know more about distance visit:
https://brainly.com/question/33716087

#SPJ11