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elena55 [62]
3 years ago
11

Which inequality will have a shaded area below the boundary line?

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Another twofer !

We don't know what the choices are, and we don't know where
the boundary line is.  Otherwise, the question is intriguing indeed.

You might be interested in
Calculate the total surface area of a rectangular box 10cm long, 8cm wide and 6cm tall.<br>​
kicyunya [14]

Answer:

The answer is

<h2>376 cm²</h2>

Step-by-step explanation:

Since the rectangular box is a cuboid,

Total surface area of a cuboid is given by

<h3>2( lw + wh + lh)</h3>

Where

l is the length

w is the width

h is the height

From the question

l = 10 cm

w = 8cm

h = 6cm

Substitute the values into the above formula

That's

Total surface area of the rectangular box is

2 [ (10)(8) + (8)(6) + (10)(6) ]

2 [ 80 + 48 + 60 ]

2( 188)

We have the final answer as

<h3>Total surface area = 376 cm²</h3>

Hope this helps you

3 0
3 years ago
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func
nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11

(b) Find the average cost at a production level of 1000 units.

c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49

(c) Find the marginal cost at a production level of 1000 units.

\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74

(d) Find the production level that will minimize the average cost.

c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100

(e) What is the minimum average cost?

c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220

5 0
2 years ago
8 pencils for 14 dollars
Schach [20]

Answer:

1 pencil will be for 1.75 $

4 0
2 years ago
Read 2 more answers
Solve each system of equations by substitution <br> Y=4x+13 y=6x+19
rosijanka [135]

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

6 0
2 years ago
Find the measure of
Sonbull [250]

Answer: 77°

Step-by-step explanation:

First we are going to find x and then insert it in 18x +5 to be able to get our <WZX

But to find x, we will have to apply the the exterior angle theorem

The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges

Using this theorem, then from the diagram above ;

18x + 5 = 48 + 8x - 3

we collect like term

18x - 8x = 48-3-5

10x = 40

Divide bothside by 10

10x/10 = 40/10

x = 4

but <WZX = 18x + 5

Then we substitute x=4

<WZX = 18(4) + 5

<WZX = 72 +5

<WZX =77

Therefore the measure of <WZX is 77°

8 0
3 years ago
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