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Related Questions
A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answers
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
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I NEED HELP WIT DIS ASSIGNMENT ASAP
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Is 14 19 23 a right triangle
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Answer:no
Step-by-step explanation: because it is an acute triangle
An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.
Answers
Answer:
$45.65 total
Step-by-step explanation:
Answer:
45.65
Step-by-step explanation:
Ap calculus need help please
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Answer:
[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Integrals
Definite IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^1_0 {f(x)} \, dx = 4[/tex]
[tex]\displaystyle \int\limits^1_0 {g(x)} \, dx = -3[/tex]
[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx[/tex]
Step 2: Find
[Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = \int\limits^1_0 {2f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex][1st Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2\int\limits^1_0 {f(x)} \, dx - \int\limits^1_0 {g(x)} \, dx[/tex]Substitute in integral values: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 2(4) - (-3)[/tex]Multiply: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 8 - (-3)[/tex]Subtract: [tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
How does Reflection work in real-life situations?
Answers
Answer:
reflection is defined as the change in the direction of a wavefront at the interface between two different media, bouncing the wavefront back into the original medium. A common example of reflection is reflected light from a mirror or a still pool of water, but reflection affects other types of waves beside light.
Step-by-step explanation:
Answer:
I think it's help uu
Step-by-step explanation:
if wrong then sry
If me+you= 2 13 year olds then what is the probability of us getting together? Likely to unlikely?(I’m a straight girl)
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i’m confused, i’m a questioning female so probably not likely, i’m still trying to figure out my sexuality.
ill mark brainlist plss help
Answers
Answer:
60%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3/5 is the same as 6/10. All percentages are out of 100% so you have to change the denominater to 100. Do do that you just add a 0 to the numerator and demoninator. i.e. 60/100. which is translated to 60%.
100 points. Can someone help
If a set of parallel lines contains the two points, (-2, 3) and (8, -5). If the lines are rotated 180 degrees clockwise, what would the two coordinates be after the rotation? Show or explain your work.
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The two coordinates after the rotation are (2,-3) and (-8,5)
How to determine the coordinates after rotation?The points are given as:
(-2,3) and (8,-5)
The rule of 180 degrees clockwise rotation is:
(x,y) = (-x,-y)
This means that:
(2,-3) => (-2,3)
(-8,5) => (8,-5)
Hence, the two coordinates after the rotation are (2,-3) and (-8,5)
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Answer:
(2, -3) and (-8, 5)
Step-by-step explanation:
If a point is rotated 180° clockwise about the origin (0, 0) then:
(x, y) → (-x, -y)
Therefore,
(-2, 3) → (-(-2),-3) = (2, -3)
(8, -5) → (-8, -(-5)) = (-8, 5)
So the two coordinates after rotation would be (2, -3) and (-8, 5).
Which equation can be rewritten as x + 4 = x2?
Assume x>0.
O √x+2=x
O √x+2 = X
O √x+4 = X
O √x2 + 16 = X
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Which equation can be rewritten as x + 4 = x2?
Right ans is √x+4 = x
❣️
The equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The given expression is x + 4 = x². The given expression will be simplified as below,
x + 4 = x²
Remove the square and apply the square root on the left side of the equation.
x = √ ( x + 4 )
Therefore, the equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
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don’t answer if you don’t know
Answers
What is the horizontal distance
(tricky, pay attention to the scale on the graph)
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Answer:
2
Step-by-step explanation:
If x+3/3=y+2/2 then x/3 =
Answers
Answer:
= y/2
Step-by-step explanation:
(x+3)/3 = (y+2)/2
x/3 + 1 = (y+2)/2
x/3 = (y+2)/2 - 1
= (y+2-2)/2
= y/2
hope this helped(:
If Measure of angle a is 155°, what is Measure of angle c? Line l intersects line m to form 4 angles. Clockwise, from the top, the angles are: a, b, c, d. 25° 35° 155° 180°
Answers
Answer:
c. 155
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took the test. Im sorry for the late response.
The volume of the rectangular pyramid is ___ cubic units.
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Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5
8
3
% compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5
8
7
% compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?
Answers
Answer: 445
Step-by-step explanation:
Lincoln’s Final Amount:
Compounded Continuously: A=Pe^rt
P= 2800
r= 0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625
A=6270.5833
Lily’s final amount:
Compounded quarterly:
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
How much more money does Lily have?
6715.7829-6270.5835
=445.1994
The money would Lily have in her account than Lincoln, to the nearest dollar 445.
We have to determine the compound interest Lincoln’s final amount
Compounded Continuously
A=Pe^rt
P= 2800
r=0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625A=6270.5833
What is the formula for compound interest?
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
=6715.7829-6270.5835
=445.1994
Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.
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HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
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6*3=18
18+18= 36
Answer 36
will mark the best awnser :)
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Answer:
15 square feet
Step-by-step explanation:
Can someone help? Will mark Brainliest
Answers
Answer: The answer is the 3rd one
Step-by-step explanation:
9514 1404 393
Answer:
(d) AE = (32√6)/3
Step-by-step explanation:
The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.
So, we have the side length ratios ...
CE : CD = 2 : √3
BE : CE = √2 : 1
AE : BE = 2 : √3
Then the ratio AE : CE is ...
[tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]
Multiplying by the length of CD, we have ...
AE = (8√3)(4√2)/3
AE = (32√6)/3 . . . . . matches the last choice
What is the distance between -70 and -30 on
Answers
Answer:
-40 I wanna say
Step-by-step explanation:
Answer:
Brainliest??
Step-by-step explanation:
40 units
Please answer these 4 questions for 40 points:
If your travel rate is 250 miles in 5 hours, how many miles can you travel in 10 hours?
Given your rate of 480 miles in 8 hours, what is your average speed or unit rate?
Given the unit rate of $4.00 per pound of chocolates, what is the cost of 15 pounds of chocolates?
What is the equivalent ratio for 3:6
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Answer:
1)500
2)60
3)$60
4)this i don't know sorry
Inez has $72 to buy video games each game costs $9 how many video games can Inez buy
Answers
Answer:
8
Step-by-step explanation:
1 video game = 9
? = 72
72/9=8
Answer:
8
Step-by-step explanation:
HELP PLEASE 24 POINTS
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Since they are parallel they will never intersect. So there is no solution
i need help due asap
Answers
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
Of the 60 questions on a test, 24 are multiple choice. What
percent of the questions are multiple choice?
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Answer:
40%
Step-by-step explanation:
60 X 40% =24
Answer:
40%
Step-by-step explanation:
Find the value of a, b, c,
and d.
76
to the document will
32
go to (1,1)
go to (-5, 1)
a a = 32, b = 26, C = 104, d = 90
b) a = 76, b = 52, c = 90, d = 90
c) a = 38, b = 52, c= 90, d = 90
d) a = 38, b = 52, c = 104, d = 90
e) a = 76, b = 26, C = 104, d = 180
go to (0, 2)
go to (7,0)
go to (-3,2)
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Answer:
The answer is D
Step-by-step explanation:
1.Angle D is 90 becuase any angle inscribed in a semi circle is a right angle.
2.Since c and 76 form a semi-circle. They add up to 180 so c=104.
3.Angle A is a inscribed angle of arc 76. So that means angle A is half of the arc 76.
Angle A=38.
4. Angle B can be found two ways,
Using triangle interior theorem, since we know 90 and 38 as our given degree, a triangle has 180 degrees, so our third angle ,b will add up to 180 so it will be 52.Angle b is a inscribed angle of arc c so it is half of arc C or 104. Angle B=52D is the answer
Find the time.
I = prt
Principal: $500
Rate: 5%
Interest earned: $25
Time: ?
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Answer:
1 year
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
t = 25 / ( 500 × 0.05 ) = 1
t = 1 years
The time required to
accumulate simple interest of $ 25.00
from a principal of $ 500.00
at an interest rate of 5% per year
is 1 year.
Please help!! I don’t understand how to do this problem
Answers
Answer:
D.
Step-by-step explanation:
[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]
If x = 3 and y= -2, then
7x — Зу
2x + y
Answers
Answer:
(7 *3 -3*(-2))/(2*3+(-2)) = 6.75
Step-by-step explanation:
***PLEASE HURRY***
***WILL MARK BRAINLEST***
Find the y-intercept for the parabola defined by this equation: y = -x^2 - 2x + 3 separate the values with a comma
Answers
Answer:
y-intercept is (0, 3)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.