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barxatty [35]
3 years ago
7

TEACHER QUESTION

Mathematics
2 answers:
DedPeter [7]3 years ago
5 0

Answer: 62.33 57.67

Step-by-step explanation:

Schach [20]3 years ago
3 0

Answer:

Step-by-step explanation:

Year 2004: 62.33

Year 2013: 57.67

2013-2004 = 9

57.67-62.33 =-4.66

-4.66/9 = -0.517777778 which is the average rate of change

Here the the avg. rate of change means that on average, the change in rainfall every year is -0.517777... inches

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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
You buy 1.75 pounds of apples and 2.05 pounds of oranges. Apples and oranges sell for the same price per pound. The total​ cost,
dlinn [17]

Answer:

1.75c+2.05c=4.18\\\\Per\ pound\ cost=c=\$1.1

Step-by-step explanation:

Cost\ of\ per\ pound\ apple=Cost\ of\ per\ pound\ oranger=c\\\\

Cost of Apples:

Amount\ of\ apples=1.75\ pounds\\\\Cost\ of\ apples=Amount\times per\ pound\ cost\\\\Cost\ of\ apples=1.75\times c\\\\Cost\ of\ apples=1.75c

Cost of oranges:

Amount\ of\ oranges=2.05\ pounds\\\\Cost\ of\ oranges=Amount\times per\ pound\ cost\\\\Cost\ of\ oranges=2.05\times c\\\\Cost\ of\ oranges=2.05c

Total cost:

Total\ cost\ of\ fruits=cost\ of\ apple+cost\ of\ oranges\\\\Total\ cost\ of\ fruits=1.75c+2.05c\\\\After\ coupon\ cost=\$ 3.43\\\\ Original\ cost=After\ coupon\ cost+coupon\ amount\\\\ Original\ cost=3.43+0.75=4.18

1.75c+2.05c=4.18\\\\3.8c=4.18\\\\c=\frac{4.18}{3.8}\\\\c=1.1\\\\Per\ pound\ cost\ of\ fruits=\$1.1

4 0
3 years ago
Many graduates earn degrees in fields that result in high-paying jobs. Based on that assumption, which two fields most likely pa
MAXImum [283]

business and education

since business is wider there is human resource, accounts, finance and among others

3 0
3 years ago
Read 2 more answers
Please please help fast , thank you !
Tresset [83]

Answer:

2>x

y>-1

Step-by-step explanation:

assume y=0 when finding x and vice versa

4 0
3 years ago
Correct answer only please!
il63 [147K]

Answer:

$9257.5

Step-by-step explanation:

plug into the equation  known variables

3 0
3 years ago
Read 2 more answers
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