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3 years ago

Determine the total surface area for the composite figure.

Mathematics

1 answer:

Vikentia [17]3 years ago

8 0

Answer:

Step-by-step explanation:

9*21*2+18*9*2+21*18+35*20+(35*20-21*18)+35*15*2+15*20*2

= 378 + 324+ 378 + 700 + 700 - 378 + 1050 + 600

= 3752

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Select the correct location on the coordinate plane. Ruhana owns a workshop where her team of technicians refurbishes TV sets an

yarga [219]

Answer:

Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

so we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

7 0

3 years ago

Solve the literal equation, C = 12h + 4. Justify each step

IceJOKER [234]

Answer:

slope=.083

c=4

h=-0.333..

Step-by-step explanation:

8 0

3 years ago

You are single and claim 1 allowance. You presently earn $520.00 per week. Starting next week you will receive a 5% increase in

expeople1 [14]

Y=C+I+G+(X-M)

y=national income

c=consumer spending

I=investment

g=government spending

x-exports

m=imports

7 0

3 years ago

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co

Norma-Jean [14]

Answer:

Exponential growth functions are:

$A=20000(1.08)^{t}$

$A=40(3)^{t}$

$A=1700(1.07)^{t}$

Exponential decay functions are:

$A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

$A=1600(0.8)^{t}$

$A=1700(0.93)^{t}$

Step-by-step explanation:

Given:

An exponential function is of the form $y=ab^{x}$ , where, $a\ne 0$ .

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.

Let us check each function now.

Option 1: $A=20000(1.08)^{t}$

Here, $a = 20000, b = 1.08$

As 1.08 > 1, the function is exponential growth.

Option 2: $A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

Here, $a = 80, b = 0.50$

As 0.5 < 1, the function is exponential decay.

Option 3: $A=1600(0.8)^{t}$

Here, $a = 1600, b = 0.8$

As 0.8 < 1, the function is exponential decay.

Option 4: $A=40(3)^{t}$

Here, $a = 40, b = 3$

As 3 > 1, the function is exponential growth.

Option 5: $A=1700(1.07)^{t}$

Here, $a = 1700, b = 1.07$

As 1.07 > 1, the function is exponential growth.

Option 6: $A=1700(0.93)^{t}$

Here, $a = 1700, b = 0.93$

As 0.93 < 1, the function is exponential decay.

5 0

3 years ago

Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4

Margarita [4]

You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5

7 0

2 years ago

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