if Xab = the production of product a in period b, then to indicate that the limit on production of the company's 3 products in period 1 is 250, we write which of the following:A) X31 ≤ 250B) X11 + X21 + X31 ≤ 250C) X11 + X12 + X13 ≤ 250D) X11 + X21 + X31 ≥ 250

Answer:

960

Step-by-step explanation:

x=0.6x+384

0.4x=384

960

Answer:

960

Step-by-step explanation:

x = 0.6x + 384

Subtract 0.6x in both sides:

0.4x = 384

Divide both sides by 0.4:

x = 384/0.4

x = 960

The percentage by which the price of the car went up from the original price is 60% (third option)

The first step is to determine the price of the car after the percentage increase. Percentage is the fraction of a number as a value out of 100. The sign that is used to represent percentage is %.

Price of the car after the percentage increase = (1 + percent increase/100) x original cost of the car

Price of the car after the percentage increase = (1 + 20/100) x 20,000

Price of the car after the percentage increase = (1 + 0.2) x 20,000

Price of the car after the percentage increase = 1.2 x 20,000 = $24,000

Price after the $8,000 increase = $24,000 + 8,000 = $32,000

Percentage of the original price = (32,000 / 20,000) - 1 = 0.60 = 60%

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Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

The trigonometric expression that has a value of three-fourths is; tan (x)

The basic trigonometric ratios are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

sec x = 1/cos x

csc x = 1/sin x

cot x = 1/tan x

Thus;

If csc x = 5/3, it means that;

sin x = 3/5

By trigonometric ratios, we know that;

cos x = 4/5 and tan x = 3/4

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The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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Answer:

sometimes

Step-by-step explanation:

greetings that person is wrong the answer is always

Multiply calories per nugget by number of nuggets and add to calories per waffle multiplied by number of waffles:

Total calories = 52c + 39w

Now replace the variables with the quantities and find total calories:

Total = 52(5) + 39(10)

Total = 260 + 390

Total = 650 calories

1. There will be $102, 826 in the account in 25 years.

2. The total amount of money you will put into the account is $60, 000

3. The total interest that you would have earned is $42,826.

For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)

When we insert the values, it will be

FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))

= 102, 825. 9. If we round this up, we should get

$102, 826

For us to calculate the total amount of money you put into the account, we should us the formula;

Total Deposits = Monthly Deposit x Number of Months

If we insert the values it wil be

200 x (25 x 12)

60,000

Lasty, if we are to find the total interest earned:

Total Interest = Future Value - Total Deposits

$102, 826 - 60,000

=  $42,826

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Answer:

hi

Step-by-step explanation:

The known solutions to f(x) = g(x) are given as follow:

x = 1 and x = 9.

When a system of equations is plotted on graph, the solutions are the intersection points of all the functions that compose the system.

At these intersections point, the functions have the same numeric value, which are the points looked at to find the solution on a table.

Hence the solutions are given as follows:

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Answer: 5.an=2+11n    6.an=40-10n    7.-50+5n

Step-by-step explanation:

You're trying to find formulas for which when you plug in the number of the term into n, you get the value of the term. The general formula is
an=a1+(n-1)d.
All the values are already given to you so you can just substitute and simplify to get the specific formula.

The composite function g(h(8)) when evaluated is 94.

From the question, we have the following parameters that can be used in our computation:

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

Either a or d

Step-by-step explanation:

Because they show the data correctly it is A trust me

Answer: Scatterplot A

Step-by-step explanation:

edGE 23

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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Answer:

x = -1, y = 1

Step-by-step explanation:

6 + 4x - 2y = 0 (1)

-3 - 7y = 10x (2)

From (1)

6 + 4x - 2y = 0 (1)

4x - 2y = -6 (3)

From (2)

-3 - 7y = 10x (2)

10x + 7y = -3 (4)

4x - 2y = -6 (3)

10x + 7y = -3 (4)

Using elimination method

Multiply (3) by 10 and (4) by 4 to eliminate x

40x - 20y = -60

40x + 28y = -12

28y - (-20y) = -12 - (-60)

28y + 20y = -12 + 60

48y = 48

y = 48/48

y = 1

Substitute y = 1 into (3)

4x - 2y = -6 (3)

4x - 2(1) = -6

4x - 2 = -6

4x = -6 + 2

4x = -4

x = -4/4

x = -1

x = -1, y = 1

The value of x in the equation is -1

Answer:

-1

Step-by-step explanation:

To minimize the total travel time, she should land at the point on the shore that is equidistant from her starting point and her destination. This is because the time taken to walk and the time taken to row will be the same for this point.

Let's assume her starting point is A and her destination is B. The distance between A and B is the straight line distance.

1. Calculate the distance between A and B.
2. Divide the distance by 2 to find the halfway point.
3. This halfway point will be the optimal landing point on the shore for her to minimize the total travel time.

Let's assume she needs to travel a distance of "d" miles along the shore before reaching her destination. If she walks at a speed of 3 mi/hr, the time it takes for her to cover the distance "d" while walking is d/3 hours.

On the other hand, if she rows at a speed of 2 mi/hr, the time it takes for her to row a perpendicular distance from the shore to her destination is d/2 hours.

To minimize the total travel time, she should choose the point on the shore where the sum of the walking time and rowing time is minimized.

Total travel time = Walking time + Rowing time

T = d/3 + d/2

T = (2d + 3d) / 6

T = 5d / 6

To minimize the total travel time, she should aim to minimize the distance "d." However, since we don't have any specific constraints or additional information about the problem, it is not possible to determine the exact point on the shore where she should land without further details.

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To estimate the error when using the trapezoid rule with n = 6 to calculate the integral of cos(2x) from 0 to 3, we'll need to find the maximum value of the second derivative of the function in the given interval and apply the error formula for the trapezoid rule. Hence, the correct option is (e).

Follow the following steps:

Step 1: Find the second derivative of cos(2x)
First derivative: -2sin(2x)
Second derivative: -4cos(2x)

Step 2: Find the maximum value of the second derivative in the interval [0, 3]
Since cos(2x) ranges from -1 to 1, the maximum value of -4cos(2x) is 4.

Step 3: Apply the error formula for the trapezoid rule
The error formula is |error| = (b - a)³ * M / (12n²)
Where a = 0, b = 3, M = 4 (maximum value of the second derivative), and n = 6.

|error| = (3 - 0)³ * 4 / (12 * 6²)
|error| = 27 * 4 / (12 * 36)
|error| = 108 / 432
|error| = 0.25

So, the estimate of the error when using the trapezoid rule with n = 6 to calculate the integral of cos(2x) from 0 to 3 is 0.25 . Hence, correct answer is (option e).

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The correct answer is 0.00544 m^3.

To calculate the volume of a cylindrical steel bar, we need to use the formula:

Volume = π * (radius^2) * height

Given that the diameter of the round steel bar is 76 mm, we can calculate the radius by dividing the diameter by 2:

Radius = diameter / 2 = 76 mm / 2 = 38 mm = 0.038 m

The length of the steel bar is given as 1.2 m.

Now we can substitute these values into the formula:

Volume = π * (0.038^2) * 1.2

Volume = 3.14159 * (0.038^2) * 1.2

Volume ≈ 0.005439632 m^3

Rounded to four decimal places, the volume of the 1.2 m long steel bar is approximately 0.0054 m^3.

Therefore, the correct answer is 0.00544 m^3.

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Answer:

7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

Simplify

Answer:

\(b = \sqrt{ \frac{ {c}^{2} }{2 {\pi}^{2} } - {a}^{2} } \)

Answer:

No solution.

Step-by-step explanation:

22x+52=22x+89  Get rid of the variable first (this makes solving easier).

-22x      -22x

52=89                   The answer comes out as 52=89, but 52 is not equal to 89.

When this happens, there is no solution.

Hope this helps!! Have a great day :D

Answer:

The independent variable is the bill, and the dependent variable is the tip.

Step-by-step explanation:

The independent variable means it can stand alone on it's own.  The bill will always be $20 because that's how much the food costs.  The tip will be different depending on how much the bill is.

Answer:

-x -2

Step-by-step explanation:

1- Apply the Distributive Property

2- Calculate the product or quotient

3- Determine the sign

4- Reorder and gather like terms

   Collect coefficients of like terms

   Calculate the sum or difference

Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n