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.
Find out more on Geometric sequence at: https://brainly.com/question/9300199
PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
Answer:
C. 43.98
Step-by-step explanation:
If ab = 9 and a² + b² = 81, then (a+b)² = ?
Answer:
99
Step-by-step explanation:
Through some clever algebra, we can combine our first two equations using the fact that
[tex](a+b)^2=a^2+2ab+b^2[/tex]
We have the a² and the b² in the equation [tex]a^2+b^2=81[/tex], and we almost have a 2ab in the equation [tex]ab=9[/tex]. To get that 2ab, we can simply double both sides of the first equation to get [tex]2ab=18[/tex]. From there, we'll add the first two equations together, giving us the summed equation
[tex]a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99[/tex]
And since [tex](a+b)^2=a^2+2ab+b^2[/tex], we can equivalently say that
[tex](a+b)^2=99[/tex]
What is the slope of the line graphed below?
x + 6 = -6
please help me pls
Amy bought a diamond ring for $6,000. If the value
of the ring increases at a constant rate of 5.8% per
year, how long will it take for the ring to be worth
$19,000?
Show work
Answer: $13,308
5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308
Step-by-step explanation: amy likes cheap rings LOL
Answer:
54 3/4 years
Step-by-step explanation:
5.8% of 6,000= 348
348x54 3/4=19,053
hope it helps!
Solve the system of equations by substitution.
3x+2y=10 y=3x-4
x= y=
Answer:
x=2; y=2
Step-by-step explanation:
3x+2y=10
y=3x-4
We can substitute y from the first equation with the second equation:
3x+2(3x-4)=10
3x+6x-8=10
9x=18
x=2
Now plug this in to any of the equations (i used second equation):
y=3(2)-4
y=6-4
y=2
Check your answers:
y=3x-4
2=3(2)-4
2=6-4
2=2
Wiki
Help I’ll give Brainly est
I’m timed plsss answer correctly I’ll mark u brainliest
Answer:
[tex]\sqrt{125}[/tex]
Step-by-step explanation:
Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]
225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]
Answer:
x = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
x² + 10² = 15²
x² + 100 = 225 ( subtract 100 from both sides )
x² = 125 ( take the square root of both sides )
x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form
Round to nearest degree.
8
х
11
Answer:
36
Step-by-step explanation:
tan^-1(8/11)=36.027
please answer asap 17 brainy points is all I had left
Answer:
A) 69.08 m
Step-by-step explanation:
C=2πr
C=2π(11)
C=22π
C≈69.12
Answer:
drraaaaaa wild'n out boiii
Step-by-step explanation:
Taking my points back.
Powers of products and quotients (integer exponents)
Answer:
C
Step-by-step explanation:
The Stone's are driving to a family reunion that is 320.6 miles away. They
stop at a gas station and the map says they have 189.75 miles of the trip
remaining. How many miles have the Stone's driven so far?
DUE TODAY!
Answer:
Step-by-step explanation:
Formula
Driven = Total - what they need to go
Driven = 320.6 - 189.75
Driven = 130.85
Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21
Given:
The set of integers in the options.
-13 , 4, 0, -8
-5 , -2, 3, 1
-12 -18 , -4 , 7
-15, 6 , -9 , -21
To find:
The set of integers that is ordered from least to greatest.
Solution:
We know that the larger negative value is the smaller value and the larger positive value is the greater value.
Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.
In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.
In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.
In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.
In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.
Therefore, all the options are incorrect.
A car traveled 3600 miles in 3 hours. Find the speed of the car.
Answer:
speed=distance/time
speed=3600/3
speed=1200m/s
Answer:
The car is going 1200 miles per hour.
Step-by-step explanation:
8*1,000,000+8*1/1,000,000
Answer:
1000000000001 /125000
1000000000001 over 125000
Step-by-step explanation:
be more specific when you post questions..
ANSWER PLSSS 65 POINTS
Answer:
[tex]\Huge\boxed{76}[/tex]
Step-by-step explanation:
Hello There!
The first thing we want to do is find the proportional relationship between to two triangles
The smaller triangles longest side is 18
Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle
So the proportional relationship would be
36/18 or 2
Our next step is to find the the sides of the similar triangle
To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)
12x2=24
8x2=16
and we already know that the longest side measures 36
Now we can find the perimeter by adding all of the side lengths
36+24+16 = 76
So we can conclude that the perimeter of the dilated image is 76
The perimeter of the dilated triangle is 81.
Number 8 plssssssssss
Answer:
It created a single African nation with many states.
HELP ASAP!!! Please give a step-by-step explanation, or you will be reported!
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is _____ %. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is _____ %. (Round to the nearest hundredth.)
For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%
Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92
Step-by-step explanation:
there ya go!!
Answer:
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .
The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .
Step-by-step explanation:
2.76% + 2.86% + 3.44% + 2.65% = 11.71%
11.71 / 3.44 = .2937
.2937 = 29.37%
On a map,1 inch represents 5 miles.joel measure 2 1/2 inches between two cities on the map. how many miles apart are the two cities?
Answer:
12.5 miles
Step-by-step explanation:
5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles
if my anwer helps please mark as brainliest.
One equation in a system is 4x – 2y = 8. Which equation gives the system no solution?
Answer:
-8
Step-by-step explanation:
Correct me if i'm wrong
6 of 7
£25 = 700 rubles, how many £ are in 1,260 rubles?
£
Answer:
45
Step-by-step explanation:
25 = 700
Y = 1260
Now you need to do cross multiplication .
25 X 1260=700Y
Since it's in a multiplying form you can simplify by dividing 700 by 25
1260=700Y/25
1260=28Y
Y=45
Mike bought a bottle of gatorade for $1
and some granola bars for $2.50
each. How many granola bars did he
buy if he spent $11 total?
Answer:
4 granola bars
Step-by-step explanation:
x is the number of granola bars
1 + 2.5x = 11
2.5x = 10
x = 4
- For English class, George must read 168 pages in 7 days. What is the unit rate of
pages to days?
Answer:
168 pages/7 days = 24 pages/1 day
Hope that helps, dude.
Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit
Answer:
(3x - y)(x + y)²Step-by-step explanation:
3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²Answer:
[tex](3x-y)(x+y)^2[/tex]
Step-by-step explanation:
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Multiply and combine like terms.
[tex]3x^3+xy^2-y^3+5xy^3[/tex]
Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.
[tex]3x^3+5xy^2+y^2x-y^3[/tex]
Find one factor of the form kx^m +n, where kx^m divides the monomial with the highest power 3x^3 and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.
[tex](3x-y)(x^2+2xy+y^2)[/tex]
Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.
[tex](x+y)^2[/tex]
Rewrite the complete factored expression.
[tex](3x-y)(x+y)^2[/tex]
The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?
G (10, 10)
H (12, 12)
I (14, 14)
A
(12, 10)
B
(10, 9)
C
(12, 9)
D
(12, 14)
please help is on algebraric xpressiond
Step-by-step explanation:
10). 80-b
11). 25<n
12). The Expressions Is 5-d. a is unknown
Can you help me with my work don’t send no link
Answer:
A and C!
Step-by-step explanation:
a: for a just move all the terms not containing x to the right side of the equation!
c: divide each term by 4 and simplify!
-
hope this helped <3
Simplify: 10x+2x-3= 9
A. x=-1
B. x=-2
C. x=1
D. x=2
Answer:
C. x = 1
Step-by-step explanation:
Combine like terms
10 + 2 − 3 = 9
12 − 3 = 9
Add 3 to both sides of the equation
12 − 3 + 3 = 9 + 3
Add the numbers
12 = 9 + 3
12 = 12
[tex]\frac{12x}{12} = \frac{12}{12}[/tex]
Cancel terms that are in both the numerator and denominator
[tex]x = \frac{12}{12}[/tex]
Divide the numbers
x = 1
Therefore the correct answer is C. x = 1
Answer:
C. x = 1
Step-by-step explanation:
Have a great day
Janet is designing a garden in the shape of a trapezoid which is split into three parts: two triangular
flower beds and a rectangular section of grass. Setting up the flower beds costs $3.50 per square
foot. How much will Janet have to spend to set up the flower beds?
PLS HELP
Ans) 70
Tell me if you need steps
(Am 100% sure with this answer)
James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt
before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.
Answer:
The Price of socks is
=
$
8
Explanation:
Given -
Discount 25%
Price of shirt before discount
=
$
24
Amount spent on both shirt and socks after applying discount
=
$
24
Assume the price of socks
=
$
x
Then Shirt + Socks before discount =
$
(
24
+
x
)
After discount one has to pay 75% of the article.
Then -
75
100
(
24
+
x
)
=
24
0.75
(
24
+
x
)
=
24
18
+
0.75
x
=
24
0.75
x
=
24
−
18
=
6
x
=
6
0.75
=
8
The Price of socks is
=
$
8
How to verify your answer -
One way
Price of shirt =$24
Price of socks =$8
Total =$32
Discount =25%
Discount for $32 is
32
×
25
100
=
$
8
Amount one has to pay after discount
=
32
−
8
=
$
24
Another way is -
Discount 25%
It means after discount it is enough if he pays 75% of the price.
In our case - Actual price is
=
$
32
75% of $32 is
=
32
×
75
100
=
2
Step-by-step explanation: