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
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
Help ASAP Find the measure of 2.
21
69
111
Answer:
69°
Step-by-step explanation:
m∠1 + 111° = 180° ⇒ m∠1 = 69°
m∠1 = m∠2 = 69°
please help! due in less than 20 minutes!
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
Imena earned $261 last week. If she worked 18 hours and earned the same amount each hour, how much was she paid per hour?
The amount paid to Imena per hour will be $14.5
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Imena earned $261 last week. She worked 18 hours and earned the same amount each hour.
Imena's earnings for an hour will be calculated as:-
Earning per hour = 261 / 18
Earning per hour = $14.5
Therefore, the amount paid to Imena per hour will be $14.5
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Can someone help me answer A-E please
Answer:
srry i cant help but i can talk all ima say is this is some advance math what grade u in im only in 7 and im struggling
Step-by-step explanation:
()-()
(っ◔◡◔)っ ♥ so yea srry i cant help tho ♥
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
Answer:
10 tshirts or 5 sweatshirts
Step-by-step explanation:
One t-shirt + one sweatshirt = $30.
We know that $100 ÷ $30 = 3 times with $10 left over.
This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.
Help plz I really need it
Answer:
here up I have upload photosA class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.
Answer:
a=10/30
Step-by-step explanation:
because you can simplify it to 2/15
Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch
In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above
a 38.6 kg is a marble slab is shown above. what is the density
The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.
Solution :
Given
The mass of the marble slab, m = 38.6 kg
= 38600 g
Length, l = 23 cm
breadth , w = 17 cm
Thickness, h = 4 cm
Therefore, volume of the slab is V = 23 x 17 x 4
= [tex]$1564 \ cm^3$[/tex]
We know,
[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]
= [tex]$\frac{38600}{1564}$[/tex]
= [tex]$24.7 \ g/cm^3$[/tex]
Calleigh puts 5 nickels into an empty hat. She
wants to add enough pennies so that the probabil-
ity of drawing a nickel at random from the hat is 1/6
How many pennies should she put in?
During a review game, Mr. TooMuch's class correctly answered 68 questions on the first try. If there were 74 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal in the form of 0.ABC.
If necessary, round to the nearest thousandth.
Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up a proportion to help you solve.
Answer:
70
Step-by-step explanation:
First, to find the constant rate divided 20 miles by 8 days.
20 ÷ 8 = 2.5
Then, we know that in one week there are seven days so we multiply 2.5 x 7
2.5 x 7 = 17.5
Lastly, multiply 17.5 times 4
17.5 x 4 = 70
MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!
Can someone answer number 1? It’s a picture on top
2. What is the difference if 0.915 is taken from 2.31?
A. 1.395
B. 3.225
C. 2.395
D.4.126
I need help with this please
Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.
Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.
So both are important at some point, but it may be more important to learn deductive reasoning at first.
Mixed in a drawer are 2 blue socks, 8 white socks, and 6 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.
Answer:
6/16
Step-by-step explanation:
Write them out bb wwwwwwww gggggg
there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16
The probability of getting 2 socks of the same color is 1/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
In the drawer,
Number of blue socks = 2
Number of white socks = 8
Number of gray socks = 6
Total number of socks = 2 + 8 + 6 = 16
The Total ways to select 2 socks form 16 socks is 120.
The Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks = 40
The probability of getting 2 socks of the same color is
= 40/120
= 1/3
Therefore, the probability of getting 2 socks of the same color is 1/3.
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Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?
Answer:
$5 More
Step-by-step explanation:
$26 - $19 = $5
Answer:
She paid $7 more
the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area
Answer:
20 square inches
Step-by-step explanation:
Set width of sign to x.
Set length of sign to y.
5x=y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
width = 2 inches
length = 10 inches
Area = 20 square inches
PLEASE GIVE BRAINLIEST
The area of the rectangular sign will be 20 square inches
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.
The area of the rectangle will be calculated as follows:-
5x = y
2(x+y)=24 inches
2(x+5x)=24 inches
12x=24 inches
The area of the rectangle:-
width = 2 inches
length = 10 inches
Area = 20 square inches
Therefore, the area of the rectangular sign will be 20 square inches.
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!!!Plz help!!!Which notation shows that Pis a function of X?
A. Pox
B. P(x)
C. x.P
O D. x(P)
Answer:
the answer is that B .P(X)
Jacob answered 80% of the questions in a test correctly.
He answered 32 of the questions correctly.
Work out the total number of questions in the test.
I think the answer would be 40 questions I don't know if this is actually correct tho
Look at the flag of Sweden below, then answer the question based on the appearance of the lines on the flag
help please help
Answer:
B. They are perpendicular to each other
Step-by-step explanation:
Perpendicular Lines are lines that intersect each other and make a (or multiple) right angles or 90°.
Answer:b
Step-by-step explanation:
please helpwill give brainlyest
Answer:
10/9
Step-by-step explanation:
1/3+7/9=10/9
Step-by-step explanation:
= 1 + 7
3 9
= 9+21
27
= 28
27 ans
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.
Find the slope on the like exain or show your reasoning
write and equation for the line.
find the values for A and B. Explain your reasoning.
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
[tex] y = 2x + (-2) [/tex]
[tex] y = 2x - 2 [/tex]
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
[tex] 8 = 2(a) - 2 [/tex]
[tex] 8 = 2a - 2 [/tex]
Add 2 to both sides
[tex] 8 + 2 = 2a [/tex]
[tex] 10 = 2a [/tex]
Divide both sides by 2
[tex] \frac{10}{2} = a [/tex]
[tex] 5 = a [/tex]
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
[tex] b = 2(4) - 2 [/tex]
[tex] b = 8 - 2 [/tex]
[tex] b = 6 [/tex]
Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of the cost if you pay
Answer:20% percentage of the cost you pay .
Step-by-step explanation:
Formula
As given
Your last doctor’s visit cost $105.
Health insurance through your employer paid $84, and you paid the remaining $21.
Part value = $21
Total value = $105
Put all the values in the formula
Percentage = 20%
Therefore the 20% percentage of the cost you pay .
Answer: 20%
Step-by-step explanation:
find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.
Answer:
401
Step-by-step explanation:
301 + 73 + 27
Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.
Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.
301 + 73 + 27 =
= 301 + (73 + 27)
= 301 + 100
= 410
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
What is the horizontal distance from the origin to the point 2,9
Answer:
2
Step-by-step explanation:
The x-coordinate of point (2, 9) is 2.
The distance from 0 to 2 on a number line is 2.
Answer: 2
help big points, need quickly pls pls pls
Answer:
use photomath and if that dont work use m a t h w a y
Step-by-step explanation: