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2 years ago

Write the word sentence as an inequality.

Mathematics

1 answer:

Flura [38]2 years ago

5 0

Answer:

y < -8

Step-by-step explanation:

If a number is no more than it means that number is less.

The symbol for less is <

The word sentence "A number y is no more than -8" as an inequality is:

y < -8

Therefore the variable (or unknown) y is less than -8.

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A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types.

Alexus [3.1K]

Answer:

The average inventory depends on the manufacturing batch size.

Its formula is:

$Inventory=\frac{n}{3n+250}$

Step-by-step explanation:

The question is incomplete.

Question complete:

<em>"A machine makes two components, call them type A and B. It takes 250 seconds to switch production between the component types. During that time no production occurs. When in production, each unit of A or B requires 0.5 seconds to be completed. The two components, A and B are combined in an assembly process to make a final product, call it C. The assembly step can combine the two components into 1 unit every 2 seconds. What is the average inventory of B components?"</em>

We have two steps in this process: the manufacturing of A and B and the assembly process.

We are not told about the batch size, so we will treat that as a variable called n. This represents the amount of units (of A or B) that are manufactured per cycle.

Time (seconds) to manufacture n units of A and n units of B:

$T_m=n*0.5+n*0.5+250=n+250$

Time (seconds)to assemble n units of C

$T_a=n*2=2n$

Then the total time of the cycle is:

$T_m+T_a=n+250+2n=3n+250$

The average inventory of B is n units per cycle, which lasts (3n+250) seconds.

$Inventory=\frac{n}{3n+250}$

For a batch size of 100 units, the average inventory is:

$I_{100}=\frac{100}{3*100+250}=\frac{100}{550}= 0.182\, units/second$

For a batch size of 1,000 units, the average inventory is:

$I_{1000}=\frac{1000}{3*1000+250}=\frac{1000}{3250}= 0.308\, units/second$

5 0

2 years ago

Find the value of x in each case:

iVinArrow [24]

Answer:

789 9999 00087 990

99n

Step-by-step explanation:

098

7 0

1 year ago

Help plz

DiKsa [7]

Answer:

Step-by-step explanation:

If you know algebra here is the answer:

x = number of hours needed to work

10x=$200

10/10=200/10

x=20

Otherwise just do 200/10 to find your answer.

5 0

2 years ago

AP CALC HELP!!! Worth 38 points. AP Calc AB differental FRQ

sveta [45]

Answer:

5a. approximately 6 grams remain after 2 seconds

5b. The graph shown cannot be a solution. The solution has negative slope everywhere.

5c. y = 50/(t+5)

5d. The amount is changing at a decreasing rate. (As y gets smaller, so does the magnitude of dy/dt.)

Step-by-step explanation:

5a. The tangent line has the equation ...

y = f'(0)t +f(0)

Here, that is

y = -0.02·10²·t +10 = 10 -2t

Then at t=2, the value is ...

y = 10 -2·2 = 6 . . . . grams remaining

5b. y² is always positive (or zero), so -0.02y² will be negative. This is dy/dt, the slope of the curve with respect to time, so any curve with positive slope somewhere cannot be a solution.

5c. The equation is separable so can be solved by integrating ...

∫y^-2·dy = -0.02∫dt

-y^-1 = -0.02t +c . . . . for some arbitrary constant c

Multiplying by -50 gives ...

50/y = t + c . . . . for some constant c

We can find the value of c by invoking the initial condition. At t=0, y=10, so we have ...

50/10 = 0 +c = 5

Then, solving for y, we get ...

y = 50/(t+5)

5d. As noted above (and as described by the differential equation), the magnitude of the rate of change is proportional to the square of y. As y decreases, its rate of change will also decrease (faster). You can see that the curve for y flattens out as t increases. The amount of the substance is changing at a decreasing rate.

5 0

2 years ago

If x=y and y=7, then x=7

Elodia [21]

Answer:

True.

Step-by-step explanation:

If x is equal to y and y is equal to 7, that means that x is 7.

6 0

2 years ago

Read 2 more answers