Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
Does anybody have the answer to this???? Thank You
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
Find the slope of the line for y = x - 6
Answer:
Slope is equal to 1.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptStep-by-step explanation:
Step 1: Define
Identify.
y = x - 6
Step 2: Find
Break equation, compare to slope-intercept general form.
Slope m = 1
y-intercept b = -6
Hector watched
1
4
of a movie in the morning, and he watched some more at night. By the end of the day, he still had
2
3
of the movie left to watch. How much of the movie did Hector watch at night?
Answer:
how watched 3/4 of the movie
Step-by-step explanation:
I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.
P.S when ever using a fraction when typing like 1/4 instead of doing
1
4
do 1/4
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below. S = StartRoot StartFraction (12 minus 14) squared (14 minus 14) squared (9 minus 14) squared (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared 0 squared negative 5 squared 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 0 25 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19. 5 EndRoot. What is the first error he made in computing the standard deviation? Yuri failed to find the difference between each data point and the mean. Yuri divided by n instead of n -1. Yuri did not subtract 9 - 14 correctly. Yuri failed to square -2 correctly.
Answer:
He divided by n instead of n-1.
It is sample data so we need to divide by n-1 not n.
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny
Answer:
fraction 1/4. decimal 0.25 percent 25%
Step-by-step explanation:
5:20=5/20=1/4
1/4 is 0.25
the percentage is 25% aftr multiplying the decimal by 100%
Find the slope of the line through each pair of points.
(-10,8), (5,-5)
Answer:
-0.86667
Step-by-step explanation:
m = -13 / 15 = -0.86667
Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
I really need help with these geometry questions.
Hey there!
I'm going to go in order from images.
1. The angle measure 60 is linear to angle 6, this would make them supplementary.
Angle 6: 180 - 60 = 120
Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.
2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.
If angle 2 equals 120 measure 6 also equals 120.
3. The 2 equations are alternate exterior angles.
2x+5=8x-7
+7 +7
2x+12=8x
-2x -2x
12=6x
12/6= 2
x=2
4. I cannot explain this one without showing it visually lol.
Measure 5 equals 30 degrees.
5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.
If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.
I hope this helps!!!
A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions.
Apples cost $ __ per pound.
brainliest 100pts
Answer:
Cost 0.70 per pound.
Step-by-step explanation:
If you see the cost and the weight you can get the price per pound, so if 5 pounds cost $3.50, you can evaluate doing a rule of three:
So if you clear X you´d get this:
So the cost per pound is $0.70.
Now that you have the cost per pound you can do the equivalent ratios:
Cost---------------Apples
0.70---------------1 pound
3.5--------------- 5 pounds
7--------------- 10 pounds
Brainliest me bro
Answer:
70 cents per pound
Step-by-step explanation:
$3.50/5lb= 70 cent
Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)
Multiplication:-
a. 7/3 × 2/9 = 7x2/3x9 = 14/27.
b. 3/7 × 5/11 = 3×5/7×11 = 15/77.
c. 15/8 × 6/25 = 3×3/4×5 = 9/20.
d. 21/20 × 15/14 = 3×3/4×2 = 9/8.
Division:
a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4
b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10
c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16
d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.
Culcul constant des fractions:
a. 3/7 + 15/7 x 3/2
= 3/7 + 45/14
= (3 x 2) / (7 x 2) + 45/14
= 6/14 + 45/14
= 51/14
b. 9/5 x (1/4 - 5/12)
= 9/5 x [(1 x 3) / (4 x 3) - 5/12]
= 9/5 x (3/12 - 5/12)
= 9/5 - 2/12
= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)
= 108/60 - 10/60
= 98/60
= (2x 49) / (2 x 30)
= 49/30.
c. (3/8 + 7/5) ÷ (9/4 - 5/3)
= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]
= (15/40 + 56/40) ÷ (24/12 - 20/12)
= 71/40 ÷ 4/12
= 71/40 x 12/4
= 852/160
= (4 x 213) / (4 x 40)
= 213/40.
Hope this helps..
need help for this question
The first one it's the first image, and the second one is the second image.
How would you best describe the angle pair <6 and <7
Answer:
Consecutive interior angles
Step-by-step explanation:
There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.
What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15
15 : 4
5 : 4
2 : 3
Answer:
4 : 15
Step-by-step explanation:
total cars = 10 + 12 + 8 = 30 , then
yellow : total
= 8 : 30 ( divide both parts by 2 )
= 4 : 15 ( in simplest form )
Answer:
4 : 15 is the correct answer.
Step-by-step explanation:
10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.
does the right riemann sum underestimate or overestimate
That depends on the function in question.
If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.
If f is non-increasing, the right Riemann sum underestimates the integral.
Please show work
I just need long division, I got synthetic division done .
Answer:
(10x^4-50x^3-800)/(x-6)
Step-by-step explanation:
Images with work attached
Answer:
10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
STEP 2:
Equation at the end of step 2
:
STEP 3:
10x4 - 50x3 - 800
Simplify —————————————————
x - 6
STEP 4:
Pulling out like terms
Pull out like factors :
10x^4 - 50x^3 - 800 = 10 • (x^4 - 5x^3 - 80)
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = x^4 - 5x^3 - 80
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -80.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -74.00
-2 1 -2.00 -24.00
-4 1 -4.00 496.00
-5 1 -5.00 1170.00
-8 1 -8.00 6576.00
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
Dividing : x^4 - 5x^3 - 80
("Dividend")
By : x - 6 ("Divisor")
dividend x^4 - 5x^3 - 80
- divisor * x^3 x^4 - 6x^3
remainder x^3 - 80
- divisor * x^2 x^3 - 6x^2
remainder 6x^2 - 80
- divisor * 6x^1 6x^2 - 36x
remainder 36x - 80
- divisor * 36x^0 36x - 216
remainder 136
Quotient : x^3 + x^2 + 6x + 36
Remainder : 136
= 10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Hope this helps, have a nice day/night! :D
how many hours will it take me to get 777,777,777 cookies if i get 266,560 cookies per second
Answer:
approximately 43 - 44 minutes exact
Answer:
It would take you 2917 hours.
Step-by-step explanation:
Do 777,777,777 divided by 266,560.
2917 (with a a lot of other numbers).I hope this helped at all.
In rhombus WXYZ, if WX=15, find YZ.
Answer:
YZ=15
Step-by-step explanation:
All sides of a rhombus are equal so it would be the same length.
Please help!!!!!!!!!!!
Answer:
10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle
Step-by-step explanation:
The answer is right, but I am not 100 percent sure.
Step-by-step explanation:
a bc it should be good anser
please help me asap
Answer:
No, it isn't linear because the graph is not a straight line.
Step-by-step explanation:
(see picture of graph)
Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.
I will mark brainliest. Only REAL ANSWERS PLEASE!!!
Answer:
y > -4
Step-by-step explanation:
The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.
ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.
Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD
A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.
A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.
Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Visit: https://brainly.com/question/3100335
Tell 3 numbers that are less than 2 and greater than −1.
Answer:
0 and 1 and -2 and -3
Step-by-step explanation:
HELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?
Area of measured tile: 12 x 10 = 120 square inches
Area of actual tile = 10 x 10 = 100 square inches:
Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%
Answer: 20%
find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helpsThe first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?
Answer:
First truck = x
Second truck = y
x + 35 = y
x = 2/3y
So
2/3y +35=y
1/3y = 35
y = 35*3
y = 105
And ,
x = 2/3y = 70
The first truck carry 70 tons while the second carry 105 tons
Let the amount the first truck can carry be xLet the amount the second can carry be y
If the first truck carries 35 tons less rice than the second truck, then;
x = y - 35
If the number of paddy in the first truck is 2/3 of the amount in the second truck
x = 2/3 y
Equate both to have:
2/3 y = y - 35
2/3y - y = -35
-y/3 = -35
y = 105
Since x = 2/3 y
x = 2/3 * 105
x = 70
Hence the first truck carry 70 tons while the second carry 105 tons
Laern more on equations here: https://brainly.com/question/16863577
Jenny has three times as many new toys as she has favorite toys.
answer:
3x = y
step-by-step explanation:
૪・ i am inferring you have to create an equation?
・jenny have three times = 3x
・as her fav toys — 3x = y
・new toys = y
・fav toys = x
Heyyyyyy , Can you please help me with this
Answer:
19 houses
Step-by-step explanation:
90*(2/5)=36
90-36=54
54*(2/3)=37
54-37=19
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
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What are the values of m and n
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~