1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sophie [7]
3 years ago
7

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers

to four decimal places.) (8.99)3 using differentials
Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

You might be interested in
Help how to solve! 24=3r divided by 4
zhenek [66]

24=3r/4

Multiply both sides by 4

24=(3r)/4

(24)*(4)=(3r/4)*(4)

96=3r

Flip the equation

3r=96

Divide both sides by 3

3r/3=96/3

r=32

Now lets check if the answer is good

24=3(32)/4

24= 96/4

24=24

You see , the answer is good .


I hope that's help ! Let me know .

6 0
2 years ago
Help me with this question please
gladu [14]
He can make 10 more bowls of clay if he wants<span />
7 0
3 years ago
How much is this per day 9908/365 round to whole number
Tom [10]

Answer:

27

Step-by-step explanation:

5 0
2 years ago
Please respond to the question below in your own words with proper explanations
ycow [4]

Answer:

t(400)=673.

It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

Step-by-step explanation:

Given:

The function relating number of 9 inch tiles required and area to cover is:

t(A)=\frac{144}{9.25^2}A

Now, plug in 400 for A to evaluate t(400).

t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225

Therefore, Don required  673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

4 0
3 years ago
Find the area and circumference of the circle below:<br> Diameter - 14 cm
MAVERICK [17]

Answer:

<em>Area : 153.86cm</em>

<em>Circumference:  43.96cm</em>

Step-by-step explanation:

<u><em>To Find:</em></u>

<em>Area __ cm</em>

<em>Circumference__ cm</em>

<u><em>Given:</em></u>

<em>Since, it given that the Diameter is 14 cm</em>

<em>Diameter which is any straight line segment that passes through the center of the circle.</em>

<em>Radius which is half of diameter</em>

<u><em>Note: </em></u>

<em>A = πr  ²                                                          {Area Formula}</em>

<em>C = rd                                                           {Circumference Formula}</em>

<em>pi also known as π = 3.14                            {approximately }</em>

<em>"r " means Radius</em>

<em>"d " means diameter</em>

<em>c = circumference</em>

<em>a = area</em>

<u><em>Solve:</em></u>

<em>A = πr  ²</em>

<em>Since radius is half of the diameter then...</em>

<em>14/2 = 7</em>

<em>Radius = 7</em>

<em>A = 3.14(7)²                                   { (7)² means 7 × 7 </em><u><em>Not </em></u><em>7 × 2 }</em>

<em>A = 3.14(49)                                  { 7 × 7 = 49}</em>

<em>A = 153.86</em>

<em>C = rd       </em>

<em>C = 3.14(14)</em>

<em>C = 43.96</em>

<em>Area : 153.86cm</em>

<em>Circumference:  43.96cm</em>

<u>For More information:</u>

brainly.com/question/14068861

brainly.com/question/2407529

<u><em>~Kavinsky</em></u>

<em>    </em>

4 0
1 year ago
Read 2 more answers
Other questions:
  • 28/29 and 30 plz short explanation thanks
    11·1 answer
  • Jupiter explorers has $7,200 in sales. the profit margin is 4 percent. there are 6,000 shares of stock outstanding. the market p
    8·1 answer
  • Between which pair of numbers is the exact product of 379 and 8
    5·1 answer
  • What is the expression (cscx+cotx)^2 the same as?
    11·2 answers
  • Factor and then solve the question. <br><br>X^2-6X=7​
    9·1 answer
  • Need help with this algebra problem ALG 2A
    14·1 answer
  • 16^2+8^2= <br> Show what you did
    8·2 answers
  • Please help me....im literally desperate! 25pts and BRAINLIEST!!!
    15·1 answer
  • What is the value of angle x°
    6·1 answer
  • Consider 2 3/4 divided by 1/8.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!