A local manufacturing firm produces four different metal products, each of
which must be machined, polished and assembled. The specific time
requirements (in hours) for each product are as follows:
Machining,
hours
Polishing, hours Assembling,
hours
Product I 3 1 2
Product II 2 1 1
Product III 2 2 2
Product IV 4 3 1
The firm has available to it on weekly basis, 480 hours of machining time, 400 hours
of polishing time and 400 hours of assembling time. The unit profits on the productare Birr 360, Birr 240, Birr 360 and Birr 480, respectively. The firm has a contract
with a distributor to provide 50 units of product I, and 100 units of any combination
of products II and III each week. Through other customers the firm can sell each
week as many units of products I, II and III as it can produce, but only a maximum
of 25 units of product IV. How many units of each product should the firm
manufacture each week to meet all contractual obligations and maximize its total
profit? Make a mathematical model for the given problem. Assume that any
unfinished pieces can be finished the following week.

The number with the larger value of 8 is 184.36 and it is 100 times larger.

Place value of a digit can be defined as the position of the particular digit in a given number.

Example;

The place value of 5 in 2850 is  50

Given the digits;

184.36

9027.83

Place value of 8 in 184.36 is 80

Place value of 8 in 9027.83  is 0. 8

Let's find the ratio;

= 80/ 0. 8

= 100 times

Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.

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I think its c

Step-by-step explanation:

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

a value of -0.40 would indicate a moderate negative correlation.

The correlation for a scatter plot describes the strength and direction of the linear relationship between two variables. A negative correlation means that as one variable increases, the other variable decreases, and a positive correlation means that as one variable increases, the other variable also increases.

If the data points in the scatter plot are widely scattered around a line that slopes down to the right, this indicates a negative correlation between the two variables. In this case, the value that would be closest to the correlation would be a. -0.40. This is because the correlation values range from -1 to 1, with -1 indicating a strong negative correlation and +1 indicating a strong positive correlation.

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Answer:120

Step-by-step explanation:

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Answer:

y - intercept = 1/3

Step-by-step explanation:

to find y - intercept of a function set x = 0

by substituting x = 0 in the function,

f(0) = -2/9(0) + 1/3 = 1/3

thus, y - intercept of the given function is 1/3

The y-intercept of the function f(x) = -2/9x + 1/3 is 1/3.

To find the y-intercept of a given function, set x = 0 and solve for y.

we have a function f(x) = -2/9x + 1/3, substitute x = 0:

f(0) = -2/9(0) + 1/3

= 0 + 1/3

= 1/3

So, the y-intercept of a given function f(x) = -2/9x + 1/3 is 1/3.

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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer:

15/10 = 32 = 1 12 = 1.5

Step-by-step explanation:

brainiest would be most needed thx

Answer:

Answers - 4

Correct Answer - 1

Probability - 1/4

Answer:

6.890625 Tons

Step-by-step explanation:

To get total in ounces: [(14,700 x 15) = 220,500 OZ].

To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]

(a)  Angular speed of the fan = 360 radians/min.

(b) Number of revolutions = 57 revolutions/min.

The relation between the linear speed ans the angular speed is;

v = rω

Where, v is the linear speed, r is the radius and ω is the angular speed.

Part a: Linear speed of fan = 8 feet per second

Convert it in inch/min.

8 feet /second × 12 inches × 60 sec

5760 inch/min

Radius of the blades of fan; 16 inches.

Put the values;

v = rω

v/r = ω

ω = 5760 inch/min /(16 inches)

ω = 360 radians/min

Thus, the angular speed of the fan is found as 360 radians/min.

Part b: For number of revolutions a blade.

ω = 360 radians/min × (1 revolution/2π radians)

ω = 57.29 revolutions/ min

ω = 57 revolutions/ min (approx)

Thus, the revolution of the fan is found as ω = 57 revolutions/ min (approx).

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Answer:

x = 6 2/3     The supplementary pair of angle is 78 degree and z = 112degree  = 180 degree  First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary-   Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; we know we an call a pair of angles upon a straight line supplementary.angles.

Step-by-step explanation:

6 x +38 (+112) = 180 degree as angles on a straight line add up to 180   6 x +38 (+112) = 180    6 x +140 = 180  6 x + 140- 140 = 180-140      6 x  = 40   x = 40/6  x = 6.66666667    x = 6 2/3   Proof  (6( 6 2/3)) + 38 + 112 = 180     = (40+38)+112 = 180 = 78 +112 = 180   Proves the supplementary angle is 78 degree.

First, find the equation of the line, given that the points (3,2) and (-3,-6) belong to that line. To do so, use the slope formula and then substitute the value of the slope and the coordinates of a point on the slope-point formula of a line:

The slope of the line, is:

Therefore, the equation of a line (using the point (3,2)) is:

Since the colored region on the coordinate plane is placed above the line

y=(4/3)x-2, then the equation of the inequality is:}

Answer:

 x ≠ -5

Step-by-step explanation:

The easiest way is to factor the numerator.

x2 + 9x + 20 = (x + 4)(x + 5)

Then

(x2 + 9x + 20)/(x + 5) = (x + 4)(x + 5) / (x + 5) = x + 4,

with the restriction that x ≠ -5

The solution to the system, as an ordered triple is: (3, -4, 6).

To solve the following given system of equations:

2x + y + 3z = 20 --> eqn. 1

x + 2y - z = -11 --> eqn. 2

3x - 2z = -3 --> eqn. 3

Multiply equation 1 by 2 to get eqn. 4:

4x + 2y + 6z = 40 --> eqn. 4

Subtract eqn. 4 from eqn. 2:

x + 2y - z = -11 --> eqn. 2

4x + 2y + 6z = 40 --> eqn. 4

-3x - 7z = -51 --> eqn. 5

Add equations 3 and 5 together:

3x - 2z = -3 --> eqn. 3

-3x - 7z = -51 --> eqn. 5

-9z = -54

z = -54/-9

z = 6

Substitute the value of z into equation 5:

-3x - 7(6) = -51 --> eqn. 5

-3x - 42 = -51

-3x = -51 + 42

-3x = -9

-3x/-3 = -9/-3

x = 3

Find the value of y by substituting the values of x and z into equation 1:

2(3) + y + 3(6) = 20 --> eqn. 1

6 + y + 18 = 20

24 + y = 20

y = 20 - 24

y = -4

The solution as an ordered triple is: (3, -4, 6).

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Answer:

D. \(y + 6 =- \frac{1}{4} (x+2)\)

Step-by-step explanation:

We are given that a line is parallel to the line y=-1/4x-7 and passes through (-2, -6).

We want to write the equation of this line.

First, we need to know that parallel lines have the same slope.

In y=-1/4x-7, the slope of the line is -1/4; it is also the slope of the line parallel to it.

All of the answers in your system are written in point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point

As we already know the slope and the point, we can plug these values into the formula.

Starting with the slope; as found above, the slope is -1/4. Therefore, the equation will then be:

\(y-y_1=-\frac{1}{4} (x-x_1)\)

Now substitute -2 and -6 as \(x_1\) and \(y_1\) respectively (note: we have NEGATIVE numbers, and SUBTRACTION in the formula, so we will end up subtracting a negative).

\(y--6=-\frac{1}{4} (x--2)\)

We can simplify this to become:

\(y+6=-\frac{1}{4} (x+2)\)

Therefore, D is the answer.

Answer:

y+6= -4(x+2)

Step-by-step explanation:

I uploaded the answer to\(^{}\) a file hosting. Here's link:

bit.\(^{}\)ly/3gVQKw3

Answer:

220.00

-185.00

= 35.00 the difference of what was paid at the same prices.

Answer:S = 70,000 + 5000n

The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n

The equation:

S = 70,000 + 5000(n)

S = 70,000 + 5000n

If n = 2

S = 70,000 + 5000n

= 70,000 + 5000(2)

= 70,000 + 10,000

= $80,000

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The system described above is nonlinear because it contains a term with y(t) multiplied by t. The Laplace transform of f(t) is (6/s²)+(1/s).

If we substitute y1(t) and y2(t) into the equation and add them together, we get:

dy1/dt + 3 + 3ty1(t) = 1² f(t) dt dy2/dt + 3 + 3ty2(t) = 1² f(t) dt

Then we can add these two equations together to get:

d(y1+y2)/dt + 3 + 3t*(y1+y2)(t) = 2*1² f(t) dt

This is not equal to the original equation with y(t), which means that the system is nonlinear.

To find the Laplace transform of f(t), we can use the formula:

L{f(at+b)} = (1/a) ×F(s-b/a)

where F(s) is the Laplace transform of f(t). In this case, we have:

f(t) = (1+6t)

So we can rewrite this as:

f(t) = (6×t+1)

Now we can use the formula to find the Laplace transform:

L{(6×t+1)} = (6/s²)+(1/s)

Therefore, the Laplace transform of f(t) is (6/s²)+(1/s).

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(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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we have the expression

Remember that

substitute in the given expression

therefore

Answer:

\(y = -\frac{2}{3}x + 8\)

Step-by-step explanation:

The y-intercept is 8 and the slope is -2/3

Answer:

26

Step-by-step explanation:

To find the value of the expression 2|x-4|-3y³ when x=3 and y=-2, we need to substitute the values of x and y into the expression and then simplify. The absolute value part of the expression, |x-4|, is the distance between the number x and 4 on the number line. When x=3, this distance is |3-4|=1. So the expression becomes 2*1-3(-2)³ = 2-3(-8) = 2+24 = 26. Therefore, when x=3 and y=-2, the value of the expression 2|x-4|-3y³ is 26.