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Jobisdone [24]
3 years ago
11

A piece of wire is 240 cm long.

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer: 3

Step-by-step explanation:

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The volume of a spherical cancerous tumor is given by the following equation. V(r) =(4/3)pi r^3 If the radius of a tumor is esti
Dimas [21]

Answer:

The error that might occur is \±0.123cm^3

Step-by-step explanation:

Given

V = \frac{4}{3}\pi r^3

Radius,\ r = 1.4cm

Error = 0.005cm

Required

Determine the error that might occur in the volume of the tumor

Given that there's an error in measurement, this question will be solved using the concept of differentiation;

First, we'll rewrite the given parameters in differentiation notations;

r = 1.4 --- Radius

dV = \±0.005 --- Change in measurement

V(r) = \frac{4}{3}\pi r^3 --- Volume as a function of radius

The relationship between the above parameters is as follows;

\frac{dV}{dr} = V'(r)

This can be rewritten as

\frac{dV}{dr} = (V(r))'

Substitute \frac{4}{3}\pi r^3 for V(r)

\frac{dV}{dr} = (\frac{4}{3}\pi r^3)'

Multiply both sides by dr

dr * \frac{dV}{dr} = (\frac{4}{3}\pi r^3)' * dr

dV = (\frac{4}{3}\pi r^3)' * dr

dV = \frac{4}{3}\pi( r^3)'  dr

Differentiate

dV = \frac{4}{3}\pi( r^3)'  dr

dV = \frac{4}{3}\pi* 3r^2\  dr

dV = 4\pi* r^2\  dr

Substitute the values of r, dr and take \pi as 3.142

dV = 4 * 3.142* 1.4^2 * \±0.005

dV = \±0.1231664

dV = \±0.123 <em>(Approximated)</em>

Hence, the error that might occur is ±0.123

6 0
3 years ago
NO LINKS AND PLEASE MAKE YOUR ANSWER SIMPLE.
Ber [7]

The student with the correct answer is Dylan who says the decimal should be placed between the 8 and 0.

This is base on the estimation that 3.01 is a two decimal place number, so the product 18.06 should also be in 2 decimal place.

<h3>How to find product of decimal number?</h3>

A decimal number is a number expressed in the decimal system (base 10).

Place value:

  • Ten thousand
  • Thousand
  • Hundred
  • Ten
  • ones
  • . decimal point
  • tenth
  • hundredths
  • thousandth
  • ten thousandth
  • hundred thousandth

6 × 3.01

3.01

  • 3 = ones
  • . = decimal point
  • 0 = tenth
  • 1 = hundredth

6 × 3.01

= 18.06

Therefore, Lucas is incorrect with his answer that the decimal should be placed between the 1 and 8.

Read more on decimal number:

brainly.com/question/1827193

#SPJ1

5 0
1 year ago
If a case of 24 water bottles is $8 per case how much are you paying for each bottle
Sergeu [11.5K]
$8 / 24 = 0.33

answer: $0.33 for each bottle.
6 0
3 years ago
Read 2 more answers
What expression is equivalent to -8minus4i
Anna11 [10]

Answer:

-4(2+i)

Step-by-step explanation:

-8-4i (can factor out a 4)

-4(2+i)

7 0
3 years ago
What is the answer fractions
Yanka [14]
I) 5/30 is equal to 1/6

J) 20/35 equal to 4/7

K) 4/16 is equal to 1/4
 
L) 14/21 equal to 2/3

So how I got these answer is to look at the denominator or bottom number they gave u and then think what times what equals that answer for example 4/16
4x 4 =16 right! so then then what is 4 divided by 4 = 1 because what u do to the top u do to the bottom  
3 0
3 years ago
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