Answer:
9.60πcm²
Step-by-step explanation:
Area of circular disk, A = πr²
Differntiate A with respect to r
dA/dr = π * (2r^(2-1)) /(2-1) + C
dA/dr = π * 2r/1
dA/dr = 2πr
dA = 2πr * dr
dA = 2πrdr
dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm
dA = 2π * 24 * 0.2
dA = 9.60πcm²
HELP PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST
Answer:
[tex]\boxed {\boxed {\sf 3 \ pounds \ of \$4 \ candy}}[/tex]
[tex]\boxed {\boxed {\sf 2.5 \ pounds \ of \$3.50 \ candy}}[/tex]
Step-by-step explanation:
Let's create a system of equation. First, define the variables. One type of candy is x and the other is y.
Now, create 2 equations, one for the weight and one for the price.
[tex]x+y=5.5[/tex]
[tex]4x+3.5y=20.75[/tex]
The first equation represents the mixture of both types of candy that weighs 5.5 pounds. The second represents the prices of the candy and the mixture.
Next. solve for the variables using substitution. Isolate a variable in the first equation. Let's isolate y by subtracting x.
[tex]x-x+y=5.5-x\\y= 5.5-x[/tex]
Now, we know what y is equal to, so we can substitute it into the second equation.
[tex]4x+ 3.5 (5.5-x)= 20.75[/tex]
Distribute the 3.5. Multiply each term by 3.5
[tex]4x+(3.5*5.5)+(3.5*-x)[/tex]
[tex]4x+19.25-3.5x= 20.75[/tex]
Combine like terms on the right side.
[tex]0.5x+19.25=20.75[/tex]
Subtract 19.25 from both sides of the equation to isolate the variable.
[tex]0.5x+19.25-19.25=20.75-19.25[/tex]
[tex]0.5x= 1.5[/tex]
Divide both sides by 0.5.
[tex]\frac {0.5x}{0.5}= \frac{1.5}{0.5}\\x=3[/tex]
Now we can substitute x back into the first equation and solve for y.
[tex]x+y=5.5\\3+y=5.5[/tex]
Subtract 3 from both sides to isolate the variable.
[tex]3-3+y=5.5-3\\y=2.5[/tex]
There was 3 pounds of the $4 candy and 2.5 pounds of the $3.50 candy.
Factorise fully 4x-x³
Answer:
[tex]x(2 - x)(2 + x)[/tex]
Which two numbers are exactly 10 units away from 5?
Answer:
-5 and 15
Step-by-step explanation:
10±5 = -5, 15
.
Triangle ABC was transformed to create triangle A'B'C'.
А
B
с
x
3
4
5
67
A
AN
A
В'
C
Which rule best describes this transformation?
А
(x, y) = (x,y - 7)
B
(x, y) (x, y)
С
(x, y) - (x - 7,Y)
D
(x, y) - (-x, y)
Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
you drink a beverage with 120mg of caffeine each hour the caffeine in your system decreases by about 12% how long until you have 10 mg of caffeine
Answer::
Step-by-step explanation:
A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
A) 291
B) 18
C) 200
D) 296
Bananas are priced at 5 for $1.00 as shown in the table. Which option describes the dependent quantities given in this table?
options:
a. there is no dependent quantity
b. the number of bananas
c. the cost of the bananas
d. the numbers 5, 10, 15, 20
Answer: It's the cost of the bananas
What number is equal to 2.8 - 4 ÷ 4? 02 03 O 14 O 15
Answer:
1.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2.8 - 4 ÷ 4
Step 2: Evaluate
Division: 2.8 - 1Subtraction: 1.8You buy a $90 item and it is discounted by $18. What is the discount's percentage?
Answer:
Hey the answer is 20%.
Step-by-step explanation:
You multiply the $90 with 20%,
but in order to figure that out you need to:
Calculate the savings: 20% of $90 = $18.
Subtract the savings from the original price to get the sale price: $90 - $18 = $72. You're all set!
Write and simplify an algebraic expression for the rectangle with sides of 2x and 6x-1
An airplane is 12,000 ft above sea level, and there's a submarine that is 2,000 ft below sea level. What is the distance between the airplane and submarine?
Answer:
14,000 feet
Step-by-step explanation:
hope this helps :)
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 10)2 = 36
B.
(x − 5)2 = 36
C.
(x − 5)2 = 21
D.
(x − 10)2 = 21
I just want to mention that the question is wrongly written!
it's meant to be x² − 10x − 11 = 0 and not x2 − 10x − 11 = 0
and so the other equations!
Answer:
The answer is B: (x − 5)² = 36
Step-by-step explanation:
by solving the equations using the quadratic formula we found:
the solutions for x² − 10x − 11 = 0 | x = 11, -1
the solutions for A | x = 16, 4
the solutions for B | x = 11, -1
the solutions for C | x = [tex]\sqrt{21} +5[/tex], [tex]-\sqrt{21}+5[/tex]
the solutions for D | x = [tex]\sqrt{21}+10, -\sqrt{21}+10[/tex]
the given equation: x² − 10x − 11 = 0 and the equation B: (x − 5)² = 36 have the same solutions
Therfore B is the correct answer
An industrial psychologist consulting with Lara music stores knows that the average number of complaints management receives each month throughout the industry is 6, but the standard deviation is unknown. Twenty of the Lara music stores were randomly selected to record complaints for one month; the mean of this sample was 3 and its standard deviation was 1.5. Using the .05 significance level, is the number of complaints received by Lara music stores different from the number of complaints received by music stores in general
Answer:
Step-by-step explanation:
H0 : μ ≥ 6
H1 : μ < 6
Test statistic :
n = 20
Sample Mean, x = 3
σ = 1.5
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (3 - 6) ÷ 1.5/sqrt(20)
Test statistic = - 3 / 0.3354101
Test statistic = −8.944271
Since, sample size is < 30 ;
Obtaining the Critical value using the from T;
Tcritical at 0.05, df = 19 = - 1.729
Tstatistic < Tcritical
−8.944271 < - 1.729
Hence, we reject the Null:
We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.
The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (nearest year) of all the people in the office?
Step-by-step explanation:
204+272/14=34 years old
If an equilateral triangle has a height of 8 metres find the length of each side. Round your answer to 2 decimal places.
Answer:
9.24 m to 2 DP's.
Step-by-step explanation:
Consider the right triangle formed from a side , altitude and 1/2 the base.
By pythagoras:
x^2 = 8^2 + (0.5x)^2 where x is the length of each side.
x^2 - 0.25x^2 = 64
0.75x^2 = 64
x^2 = 64/0.75 = 85.3333.
x = 9.2376 m.
giving brainliest ! *easy*
Answer:
170
Step-by-step explanation:
17π/18 * 180/π
17*180/18
=170
Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________
From the question,
Rohan bought an almirah for =Rs.13600= cost price
Transportation cost =Rs.400
The total cost price of almirah =Rs.(13600+400)
The total cost price of almirah =Rs.(13600+400)=Rs.14000
He sold it for =Rs.16800= selling price
By comparing SP and CP=SP>CP, so there is a gain
Gain=SP−CP
=16800−14000
=Rs.2800
Gain %={(gain/CP)×100}
={(2800/14000)×100}
={2800/140}
=20%
Help!!!!!!!!!!!!!!!!
Step-by-step explanation:
The area would be 9 times compared to the area of the original square. To test this, you can let the side of the original square be equal 1. By tripling this side, the side becomes three. Utilizing the area of a square formula, A= s^2, the area of the original square would be 1 after substituting 1 for s. Then, you do the same for the area of the tripled square. With the substitution, the area of the tripled square would be 9. This result displays the area of the tripled square being 9 times as large as the area of the original square. This pattern can be used for other measurements of the square such as:
let s = 2, Original Area= 2^2 = 4 Tripled Area= (2(3))^2 = 6^2= 36. 36/4 = 9
let s = 3, Original Area = 3^2 = 9 Tripled Area - (3(3))^2 = 9^2 =81. 81/9 = 9
let s = 4, Original Area = 4^2 = 16 Tripled Area - (4(3))^2 = 12^2 = 144. 144/16 = 9
let s = 5, Original Area = 5^2 = 25 Tripled Area - (5(3))^2 = 15^2 = 225. 225/25 = 9
let s = 6, Original Area = 6^2 = 36 Tripled Area - (6(3))^2 = 18^2 = 324. 324/36 = 9
let s = 7, Original Area = 7^2 = 49 Tripled Area - (7(3))^2 = 21^2 = 2,401. 2,401/49 = 9
You can continue to increase the length of the square and follow this pattern and it will be consistent.
answer is 9
The area would be 9 times compared to the area of the original square. To test this, you can let the side of the original square be equal 1. By tripling this side, the side becomes three. Utilizing the area of a square formula, A= s^2, the area of the original square would be 1 after substituting 1 for s. Then, you do the same for the area of the tripled square. With the substitution, the area of the tripled square would be 9. This result displays the area of the tripled square being 9 times as large as the area of the original square. This pattern can be used for other measurements of the square such as:
let s = 2, Original Area= 2^2 = 4 Tripled Area= (2(3))^2 = 6^2= 36. 36/4 = 9
let s = 3, Original Area = 3^2 = 9 Tripled Area - (3(3))^2 = 9^2 =81. 81/9 = 9
let s = 4, Original Area = 4^2 = 16 Tripled Area - (4(3))^2 = 12^2 = 144. 144/16 = 9
let s = 5, Original Area = 5^2 = 25 Tripled Area - (5(3))^2 = 15^2 = 225. 225/25 = 9
let s = 6, Original Area = 6^2 = 36 Tripled Area - (6(3))^2 = 18^2 = 324. 324/36 = 9
let s = 7, Original Area = 7^2 = 49 Tripled Area - (7(3))^2 = 21^2 = 2,401. 2,401/49 = 9
You can continue to increase the length of the square and follow this pattern and it will be consistent.
How many perfect squares are there between 1,000,000 and 9,000,000?
2,802 Views
If the side of the square is triple, how many times will its area be as compared to the area of the original shape?
1,347 Views
Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be its new area as compare to the smaller square? How about if the side of the smaller square was tripled, what will be its new area?
1,863 Views
If each side of a square was increased by 3 cm, the area would be 4 times that of the original square. What is the length of the side of the originally square?
1,702 Views
If the side of a square is tripled, how many times the perimeter of the first square will that of the new square be?
If the side of a square is tripped how many times will it area be, as compared to the area of the original square?
If the side of a square is tripled then the area would be increased 9 times assuming the goal is to keep the shape a square. Meaning if one side is tripled then all sides are tripled and all corners remain 90 degrees. X being the original length, then 3x is the tripled length. The area of a square is base times height. Where all sides are the same then the area of a square is x squared. Kinda how that term came about. So tripling one side triples all sides. So x times thee times x times three . So x squared times nine is the area of a square who’s side
If the side of a square is tripled, how many times will it’s area be as compared to the area of the original square?
Your question is a little tricky because of the phrase “the side”. Saying “the” side makes it sound like the square has only one when it really has four. It makes it a little difficult to divine your intent, i.e. did you intend for just one side to be tripled in which case the resulting figure would be a rectangle or did you intend for the final figure to still be a square in which case both dimensions would have to be tripled?
In the former case, the area would change by just a factor of 3. In the later, it would change by a factor of 9 as others have
x = square side
x^2 = original area
(3x)^2 = area of square with tripled sides
(3x)^2 / x^2 = 9 - divide the new area with the original one to see how many times larger it is.
The area will be nine times larger.
A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?
a 32
b 16
c 8
d 10
Answer:
I think the answer is 16 option b
giving brainliest ! *easy*
pi = 180
3(180) 540
-------- = -------
5 5
Answer is 108 degrees
 easy 5th grade math please look at photo and answer.Giving brainliest!!
Answer:
the answer to this is D
Step-by-step explanation:
Have a great day
Answer:
d.
Step-by-step explanation:
a., b., and c. are true.
A square has two sets of parallel opposite sides, so d. is false.
Answer: d.
if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\[/tex]
The square root of 193 rounded to the nearest tenth is 13.9.
Compound area figuring out this problem . Thank you for those who are able to help with this .
Answer:
Finding the bottom area:
12 + 2 = 14 x 2 = 28
Triangle Area: 4 + 2 = 6 x 4 = 24 divided by 2 is 12
Top left figure area is:
2 x 8 = 16
Add all of it together: 28 + 12 + 16 = 56
Please help and give brainliest answer
Can someone please help me with questions 12 through 14 with the answer correct I was trying but I don’t know what I put down is right it’s a beat confuse anyone please
Answer:
thats right
Step-by-step explanation:
To pour the concrete sidewalk shown in the figure, approximately how many cubic feet of topsoil will you need to remove for the 4"-thick sidewalk if the owner wants the finish surface of the sidewalk to be level with the adjacent topsoil? ROUND YOUR ANSWER TO THE NEAREST CUBIC FOOT. _____ cu ft
Answer: 109 cu ft
Step-by-step explanation: had it on a test
What are all of the zeros in this equation?
Answer:
0, 1 and 1
Step-by-step explanation:
Given the expressions;
x^3-2x^2+x = 0
x(x^2-2x+1) = 0
x = 0 and x^2-2x+1 = 0
Factorize x^2-2x+1 = 0
x^2-x-x+1 = 0
x(x-1)-1(x-1) = 0
(x-1)(x-1)= 0
x = 1 twice
hence the zeros of the equation are 0, 1 and 1
The average of 15 test scores is 80. If the average of first eight test scores is 65 and that of the last eight test scores is 70, then the eighth score is 80.
True or False?
Answer:
FalseStep-by-step explanation:
The average of 15 test scores is 80.
The total is:
15*80 = 1200The average of first eight test scores is 65.
The total is:
8*65 = 520The average of last eight test scores is 70.
The total minus 8th score is:
8*70 - 80 = 480The sum gives us the total of 15 scores:
520 + 480 = 1000 < 1200The answer is FALSE
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
Distribute: -8(3f - 9)
Step-by-step explanation:
[tex] - 8(3f - 9) = [/tex]
[tex] - 24f + 72[/tex]