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qaws [65]
4 years ago
10

Determine whether the ordered pair (1,4)is a solution of the linear inequality y-4x<0.

Mathematics
1 answer:
djyliett [7]4 years ago
6 0
It is not since the sign would have to be less than or equal to. I hope this helps. :)
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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
NeTakaya

Answer:

The Maximum error is  26cm^2

Step-by-step explanation:

Given that the circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm

<h3>To find :</h3><h3>(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm^2</h3>

Given circumference of a sphere=82 cm and possible error =0.5 cm

Error of the surface area is dA

Error of circumference is dC = 0.5 cm

We know that the formula for  Circumference of a sphere is C=2πr units  

Differentiating with respect to r

 dC = 2\pi dr

dr =\frac{dC}{2π}

=\frac{0.5}{2\pi} (∵ dC = 0.5 cm)

<h3>Since Area  A = 4\pi r^2 square units</h3>

Differentiating with respect to r

dA = 8\pi rdr  square units

Since given C = 82 cm.and also C=2πr  we have

r=\frac{C}{2π}

=\frac{82}{2π}

r=\frac{41}{π}

From that dA = 8\pi rdr

Substituting the values of r and dr in the above equation we get

dA = 8\pi (\frac{41}{\pi}) (\frac{0.5}{2\pi})

=4(41)\times (\frac{0.5}{3.14})

=26.1146

dA=26cm^2

∴  Maximum error is  26cm^2

4 0
4 years ago
Help with math pls mfs pls
Allushta [10]

Answer:

pi

Step-by-step explanation:

pi is the way us pi and radius

6 0
3 years ago
#23-6: The pool concession stand made $5,800 in June and $6,300 in July. What is the percent of increase in sales? Round the ans
katrin [286]

Answer:

8.6%

Step-by-step explanation:

To find the percent change, you will need to compute the positive difference and then divide the difference by the original (the older amount).

So the positive difference will be obtain by doing larger minus smaller:

 6300

- 5800

-----------

   500

The older amount was 5800.

So 500/5800 is the answer as a un-reduced fraction.

I'm going to reduce it by dividing top and bottom by 100:

500/5800  = 5/58

5/58 is the answer as a reduced fraction.

5 divided by 58 gives=0.086206897  in the calculator .

Approximately 0.0862 is the answer as a decimal.

To convert this to a percentage, multiply it by a 100:

8.62%

Rounded to the nearest tenths is 8.6%

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

So 5800+5800(.0862) should be pretty close to 6300 (not exactly though since we rounded).

5800+5800(.0862)=6299.96 using the calculator.

8 0
3 years ago
(8,8) and (6,-4) slope
dem82 [27]

Answer:

the formula to find slope is m=y1-y2/x1-x2

using this formula 8-6/8-(-4)

=2/8+4

=2/12 simplify

=1/6

5 0
3 years ago
Read 2 more answers
Robert owns three-eighths of a florist shop worth $76,000. What is the value of Robert’s share of the business?
vladimir2022 [97]

Answer:

It should be $28500

Step-by-step explanation:

76000 x 3/8 = 28500

value of shop:76000

robert owns:3/8

4 0
3 years ago
Read 2 more answers
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