Given that p = 3 and q = 2. Find the
value of r in the equation; r + 4p + 5q
= 24.​

Answer:frfr it made hard

Step-by-step explanation:

See attachment for the graph of the piecewise function

The piecewise function is given as:

f(x) = -3x - 2 if x < -2

    =  4 if -2 <= x < 0

    =  -(x - 2)^2 if 0 <= x < 3

    =  |x - 4| if x >= 3

Next, we plot each sub function with their domain

i.e.

See attachment for the graph of the function

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The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.

The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.

In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.

Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.

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The bottleneck in the process is Station 5, with a processing time of 8 minutes. The capacity of the assembly line is approximately 1.76 toy trucks per hour.

a. The bottleneck in this process is the station with the longest processing time. In this case, Station 5 has the longest processing time of 8 minutes. The bottleneck is the station that limits the overall capacity of the assembly line because it takes the longest time to complete its task.

b. To calculate the capacity of the assembly line, we need to determine the cycle time, which is the time it takes for one complete cycle of the assembly line. The cycle time is equal to the sum of the processing times at each station. In this case:

Cycle time = 1 + 2 + 3 + 4 + 8 + 6 + 5 + 3 + 2 = 34 minutes

To calculate the capacity in toy trucks per hour, we need to convert the cycle time from minutes to hours:

Capacity = 60 minutes / 34 minutes = 1.76 toy trucks per hour

c. The direct labor cost for the toy truck with the current process can be calculated by multiplying the number of workers assigned to each station by their hourly wage, and then dividing it by the number of toy trucks produced per hour. Since there is one worker per station and each worker receives $15 per hour, the direct labor cost per toy truck can be calculated as follows:

Direct labor cost = (Number of workers × Hourly wage) / Capacity

= (9 workers × $15/hour) / 1.76 toy trucks per hour

≈ $80.68 per toy truck

d. If the work were organized in a work cell, with one worker performing all tasks, the direct labor cost would remain the same. Each worker would still receive $15 per hour, regardless of the number of tasks they perform. There would be no specialization gains in this scenario, so the direct labor cost per toy truck would still be approximately $80.68.

e. To determine the utilization of the worker in station 2, we need to compare the processing time at that station to the cycle time of the assembly line. The processing time at station 2 is 2 minutes, and the cycle time is calculated as 34 minutes (as mentioned in point b).

Utilization = Processing time at station 2 / Cycle time

= 2 minutes / 34 minutes

≈ 0.059 or 5.9%

This means that the worker in station 2 is only utilized for about 5.9% of the cycle time, indicating that they spend most of their time waiting for the other stations to complete their tasks.

f. With the reduced staffing from nine to six workers per shift, the tasks should be assigned to the six workers in the most efficient way possible. One possible assignment could be as follows:

Worker 1: Stations 1 and 2

Worker 2: Stations 3 and 4

Worker 3: Stations 5 and 6

Worker 4: Stations 7 and 8

Worker 5: Station 9

Worker 6: No assigned task (idle)

g. To calculate the new capacity of the line with six workers, we need to determine the total processing time for the new assignment. The total processing time would be the sum of the processing times at each station assigned to a worker:

Total processing time = 1 + 2 + 6 + 5 + 3 + 2 = 19 minutes

The new capacity of the line would be the reciprocal of the total processing time:

Capacity = 60 minutes / 19 minutes = 3.16 toy trucks per hour

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Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

\(\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}\)

⠀

\(\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}\)

⠀

Therefore,

⠀

Henceforth ,

Answer:

angle c is 58 degrees and and angle a is 42 degrees

Step-by-step explanation:

p=3829.39

ur welcome

Answer:

p = 10

Step-by-step explanation:

10p - 3 = 2(12 + 4p) - 7

First, distribute within the parenthesis

10p - 3 = 24 + 8p - 7

Combine like terms

10p - 3 = 17 + 8p

Subtract 8p from both sides of the equation

2p - 3 = 17

Add 3 to both sides of the equation

2p = 20

Divide both sides by 2 to get your answer:

p = 10

I hope this helps :)

Mother spent (4r - 8) dollars more on cherries than did the father.

An expression using numbers and related operations is called a numerical expression.

According to the question, a pound of cherries costs $4.

Mom purchased r pounds.

The price of the cherry is calculated as follows: 4r = weight x $/lb.

Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.

We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.

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Answer:

D.

Step-by-step explanation:

That is the answer. The complex numbers have opposite real parts.

Answer

q≤ -11

thats your answer i believe, just typing this because it said it was too short to post

Answer:

32-(7-17)+11

32-(-10)+11

32+11-(-10)

43-(-10)

53

Answer:

Minimum Price: $230,700

Maximum Price: $261,900

Explanation:

To find the minimum and maximum prices, we need to find the z-score of the middle 70%

70% = 0.7

1 - 0.7 = 0.3

0.3/2 = 0.15

Then the inverse normal of 0.15 is -1.04

Therefore,

and

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Using the geometric sequence, we know that the relationship between the F, G, and H is (D) h = g^2/f.

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

So, let r represent the common ratio:

f(r) = g   ...(1)

g(r) = h   ...(2)

Put "r" as the topic in both equations:

f(r) = g   ...(1)

r = g/f   ...(3)

g(r) = h   ...(2)

r = h/g   ...(4)

Since r = g/f (3), change r in (4) to g/f:

r = h/g   ...(4)

g/f = h/g   ...(5)

Equation V's two sides should be multiplied by g:

g/f = h/g   ...(5)

g/f X g = h/g X g

g^2/f = h

h = g^2/f

Therefore, using the geometric sequence, we know that the relationship between the F, G, and H is (D) h = g^2/f.

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Complete question:
A student wrote the first three values in a geometric sequence as shown below.

F, G,H...

Which of the following shows the correct relationship between these terms?

A. f-g=g-h

B. fg=gh

C.h=g/f

D.h=g^2/f

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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For Daniel's four-day business trip, the total fixed costs for the car rental from car rental agency is equals the $153.2.

We have, Daniel plans to rent a car for an upcoming four-day business trip.

Flat fee charges for rent a car from car rental agency = $29 per day

Charges for driven = $0.12 per mile

Total distance travelled by him on first day = 140 miles

Cost of driven charges on first day = 140× 0.12 = $16.8

Total distance travelled by him on secon day = 15 miles

Cost of driven charges on first day = 15× 0.12 = $1.8

Total distance travelled by him on third day = 15 miles

Cost of driven charges on first day = 15× 0.12 = $1.8

Total distance travelled by him on fourth day = 140 miles

Cost of driven charges on first day = 140 × 0.12 = $16.8

Total cost of driven charges on four-day business trip = $16.8 + $16.8 + $1.8 + $1.8

= $37.2

Now, total fixed cost for rent a car are calculated by sum of driven charges and flat fee for rent = $37.2 + 4×$29

= $153.2

Hence required value is $153.2.

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Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

-4

Step-by-step explanation:

5 - 9 = -4

hope this helps...

Answer:

  361/900

Step-by-step explanation:

  \(\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}\)

Answer:

a = 26°

Step-by-step explanation:

the measure of a secant- secant angle is half the difference of the intercepted arcs, that is

a = \(\frac{1}{2}\) (66 - 14)° = \(\frac{1}{2}\) × 52° = 26°

Answer:

I don't know how to do please let me I will try solve the question

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:

The quotient of a number and 2 is the same as the difference of the number doubled and 3.

Step-by-step explanation:

Let the number be x.

The quotient of x and 2 will be x/2. The difference of the double of x and 3 and 2x-3.

As the above two quantities are equal,...

See full answer below.

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Answer:

When you divide 1060 by 48, your answer will be 22.08333... ( decimal) but when rounded, it will either be 22, 22.1, or 22.08 (just for rounding, you do not have to put this in.)

Hope this helped!

Step-by-step explanation:

Answer:

22 1/12

Step-by-step explanation:

48*22=1056

1060-1056=4

=  22 4/48

= 22 1/12

So the answer is 22 1/12,

Hope this helps!

12 and 3 because 3 divided by 12=4 and 12x3=36

Answer:

\(x^{\frac{5}{8}}\)

Step-by-step explanation:

8th root of x to the power fifth. This means the power will be 5/8

Your choice is correct .