sort the sequences according to whether they are arithmetic, geometric, or neither.
Answers
Step-by-step explanation:
I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.
I think you mean "categorize".
the first one is arithmetic.
the added constant is -4.2
98.3 - 4.2 = 94.1
94.1 - 4.2 = 89.9
...
the second one is neither.
it looks like first to be arithmetic with the added constant of -1.
1 - 1 = 0
0 - 1 = -1
but then
-1 - 1 = -2 and not 0.
the third is geometric.
the ratio or multiplication factor is 2.
1.75 × 2 = 3.5
3.5 × 2 = 7
...
the fourth is arithmetic.
the added constant is 1.2.
-12 + 1.2 = -10.8
-10.8 + 1.2 = -9.6
...
the fifth is geometric.
the ratio of multiplication factor is -1.
-1 × -1 = 1
1 × -1 = -1
...
if you really need to sort them (change their positions in that 5 elements list), then
the 1st and 4th are arithmetic (to be put into the top 2 spots).
the 3rd and 5th are geometric (to be put into the next 2 spots).
the 2nd is neither (last spot).
Related Questions
A car travels 80 miles on 4 gallons of gas. At this rate, how many gallons will it need to travel 460 miles?
Answers
80/4 = 20
Next, divide 460 by 20 to find your solution.
460/20= 23
What is the approximate length of RP? Round to the nearest tenth. 5. 6 units 6. 1 units 8. 3 units 9. 8 units.
Answers
The apporoximate length of the RP is 6.1 units, the correct option is B.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.
Given
QR is the tangent to circle P at point Q.
QP = 3 units and QR = 5,.3 units
The length of the RP is given by;
[tex]\rm RP=\sqrt{QP^2+QR^2} \\\\RP=\sqrt{3^2+5.3^2}\\\\ RP=\sqrt{9+28.09} \\\\RP=\sqrt{37.09}\\\\RP= 6.1 \ units[/tex]
Hence, the apporoximate length of the RP is 6.1 units.
To know more about Pythagoras theorem click the link given below.
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Which is a negatively skewed distribution?
4 6 8
14
26
O A.
0
2
4
6
8
10
12
14
16
T
18 20 22 24 26 28 30
B.
4 6
10
14 16
HE
O c.
0 2
4
6
8
10 12 14 16 18 20 22 24
26 28
30
Answers
Step-by-step explanation:
0c,02,4,6,8,10,12,14,16,18,20,22,24,26,28,30
The distribution (D) is negatively skewed because more values are concentrated on the right side (tail) of the distribution.
What is Statistic?A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.
Statistics is a method of comprehending data collected about us and the world.
Here, a negatively skewed (also known as left-skewed) distribution is a sort of distribution in which more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.
Thus, the distribution (D) is negatively skewed
Hence, the correct answer is an option (D).
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Which expression is equivalent to 5y–3? startfraction 1 over 125 y cubed endfraction startfraction 1 over 5 y cubed endfraction startfraction 5 over y cubed endfraction startfraction 125 over y cubed endfraction
Answers
The expression that is equivalent to 5y⁻³ is start fraction 5 over y cubed end fraction.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In order to find the expression that is equivalent to 5y⁻³, we need to use exponential properties,
[tex]5y^{-3}\\\\=\dfrac{5}{y^3}[/tex]
Hence, the expression that is equivalent to 5y⁻³ is start fraction 5 over y cubed end fraction.
Learn more about Expression:
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Answer:
option C 5/y^3
Step-by-step explanation:
Plot six lines. Each line should pass through the origin and one of the six points. One is done for you.
Answers
Note that:
Given points: (0, -2) and (1, -4)Slope formula: Rise/RunPoint slope form formula: y - y₁ = m(x - x₁)To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
Use the slope formula to find the slope.
Rise/Run = Slope=> Rise = -2; Run = 1=> Rise/Run = -2/1 = -2Use the point slope form formula.
y - y₁ = m(x - x₁) = Equation of line.=> y - (-4) = -2(x - 1) = Equation of line.=> y + 4 = -2x + 2=> y = -2x + 2 - 4=> y = -2x - 2Solution (Line 3): (Refer to graph 2)Note that:
Given points: (0, -2) and (-4, 3)Slope formula: Rise/RunPoint slope form formula: y - y₁ = m(x - x₁)To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
Use the slope formula to find the slope.
Rise/Run = Slope=> Rise = -5; Run = 4=> Rise/Run = -5/4Use the point slope form formula.
y - y₁ = m(x - x₁) = Equation of line.=> y - 3 = -5/4{x - (-4)} = Equation of line.=> y - 3 = -5/4{x + 4}=> y - 3 = -5x/4 - 5=> y = -5x/4 - 2Solution (Line 4): (Refer to graph 3)Note that:
Given points: (0, -2) and (-3, -5)Slope formula: Rise/RunPoint slope form formula: y - y₁ = m(x - x₁)To create the equation of the line, find the slope. Then, use point slope form to find the equation of the line.
Use the slope formula to find the slope.
Rise/Run = Slope=> Rise = 3; Run = 3=> Rise/Run = 3/3 = 1Use the point slope form formula.
y - y₁ = m(x - x₁) = Equation of line.=> y - (-5) = 1{x - (-3)} = Equation of line.=> y - (-5) = 1{x + 3} => y + 5 = x + 3=> y = x - 2Hoped this helped!
Emma and Paul each invest $2,000 into accounts that earn 6% interest. If Emma’s account earns simple interest and Paul’s account earns compound interest, which is the value of each person’s account after 8 years?
a. Emma - $2,960; Paul - $1,187. 70
b. Emma - $960; Paul - $1,187. 70
c. Emma - $2,960; Paul - $3,187. 70
d. Emma - $960; Paul - $3,187. 70
Answers
[tex]~~~~~~ \stackrel{\textit{\Large Emma}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &8 \end{cases} \\\\\\ A=2000[1+(0.06)(8)]\implies A=2000(1.48)\implies \boxed{A=2960} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \stackrel{\textit{\Large Paul}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases}[/tex]
[tex]A=2000\left(1+\frac{0.06}{1}\right)^{1\cdot 8}\implies A=2000(1.06)^8\implies \boxed{A\approx 3187.70}[/tex]
Which One Doesn't Belong? Identify the equation that does
not belong with the other three. Explain your reasoning.
x + 4 = -2
x+5= -1
x+2=8
3- x=9
Answers
Answer:
x + 2 = 8
Step-by-step explanation:
When you solve the other problems you get x=-6 for all of them except c. You need to take the number and subtract ( or if its negative add) it to the other side to get your answer for each one. Once this is done the solution to x is found
Find an equation for the parabola with focus (-4, 0) and directrix x=4.
HELP!
Answers
Answer:
[tex]y = - \frac{ {x}^{2} }{16} [/tex]
Step-by-step explanation:
First, notice the diretcrtirx is a negative horinzontal lie so this means we have a parabola facing downwards
Equation of a Parabola with center (h,k) >
[tex](x - h) {}^{2} = - 4p(y - k)[/tex]
Where p is the distance of the vertex to focus/ or distance to vertex to directrix
This emans that the vertex is halfway of (-4,0) and x=4.
Since this is a upwards parabola, the y value that lies on focal axis doesn't change so know this means that
The vertex is halfway between (-4,0) and (4,0).
So the vertex is (0,0).
Plugging that in we get,
[tex] {x}^{2} = - 4py[/tex]
The distance to the vertex or either the focus or directrix is 4 so p=4
[tex] {x}^{2} = - 4(4)y[/tex]
[tex] {x}^{2} = - 16y[/tex]
[tex]y = - \frac{ {x}^{2} }{16} [/tex]
Factorise fully 5a² - 125b²
Answers
Answer:
5(a+5b)*(a-5b)
Step-by-step explanation:
Answer:
5 (a+5b)( a−5b)
Step-by-step explanation:
What is the slope between (14,-8) and (7,-6)
Answers
Answer:
[tex] - \frac{2}{7} [/tex]
Step-by-step explanation:
Slope formula:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{ - 8 - ( - 6)}{14 - 7} [/tex]
[tex] = \frac{ - 8 + 6}{7} [/tex]
[tex] = - \frac{2}{7} [/tex]
Ruchi measured the area of her kitchen as 2. 81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2. 81 times 10 Superscript 4 square feet. Which statement about her labeling of the units is true? She is correct because dimensions of rooms must always be measured in feet and area would be square feet. She is correct because 2. 81 times 10 Superscript 4 ftSquared is equivalent to 2, 810 ftSquared, which is an average size for a kitchen since area is always so much more than length. She is incorrect because 2. 81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches. She is incorrect because 2. 81 is a small number. She probably measured in yards to arrive at such a small value.
Answers
Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.
Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.
Learn more about Units conversion:
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A rectangular prism has
the surface area of
460 m2. The length is 5
cm and the height is 12
cm. What is the width of
the rectangular prism?
Answers
Based on the calculations, the width of the rectangular prism is equal to 1,352.91 meters.
Given the following data:
Surface area of rectangular prism = 460 [tex]m^2[/tex]Length of rectangular prism = 5 cm to m = 0.05 m.Height of rectangular prism = 12cm to m = 0.12 m.The surface area of a rectangular prism.Mathematically, the surface area of a rectangular prism is given by this formula:
[tex]A =2(wl+hl+hw)[/tex]
Where:
A is the surface area.
l is the length.w is the width.h is the height.Substituting the given parameters into the formula, we have;
[tex]460 =2(w0.05+0.12(0.05)+0.12w)\\\\460=2(0.17w+0.006)\\\\460=0.34w+0.012\\\\0.34w=460-0.012\\\\0.34w=459.988\\\\w=\frac{459.988}{0.34}[/tex]
w = 1,352.91 meters.
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A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance? Show your work.
Answers
Answer:
The answer is 164 meters
Step-by-step explanation:
Distance = Sq of 100 + Sq of 130 = 26,900 = Sq root of 26,900 = 164 meters
The mean can be found when you add all the numbers in a set, and then divide that sum by the amount of numbers given. Find the average tree growth of four Douglas Fir trees: 2.2 in., 1 1/5 in., and 1 1/2 in.
Answers
Answer:
49/30
Step-by-step explanation:
To find the mean, add up 2.2 + 1 1/5 + 1 1/2 to get 49/10
Then divide that by 3 (it says four Douglas trees but you only put 3 types)
49/10 divided by 3 is 49/10 times 1/3, which is 49/30
Is X=4 a solution to the equation 7 + X = 15
YES OR NO
Answers
Answer:
[tex]7 + x = 15 \\ x = 15 - 7 \\ x = 8[/tex]
So; No
find the value of x
Answers
Answer:
30°
Step-by-step explanation:
AB || DC (Given)
-> AB || DF
-> x = 30° (alternate angles)
Does anyone know the answer? I’ll give 20 points
Answers
Answer:
infinite, or A
Step-by-step explanation:
you can put x as any number.
infinite or A
Step-by-step you can put an x by any number
PLEASE HELP ME THANKSSSS
Answers
Answer:
(-3,-2)
Step-by-step explanation:
I used a system of equations calculater
The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. assuming a 95% confidence level (95% confidence level = z-score of 1.96), what is the margin of error for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 0.06 0.11 0.34 0.66
Answers
The margin of error for the 95% confidence level is 0.66. Then the correct option is D.
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The times it took for 35 loggerhead sea turtle eggs to hatch in a simple random sample are normally distributed, with a mean of 50 days and a standard deviation of 2 days. assuming a 95% confidence level (95% confidence level = z-score of 1.96)
The margin of error is given by
[tex]\rm Margin \ of \ error = z \times \dfrac{\sigma}{\sqrt{n}}\\\\Margin \ of \ error = 1.96 \times \dfrac{2}{\sqrt{35}}\\\\Margin \ of \ error = 0.6626 \approx 0.66[/tex]
The margin of error for the 95% confidence level is 0.66. Then the correct option is D.
More about the margin of error link is given below.
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Answer:
D
Step-by-step explanation:
on edge
Tomas needs exactly 6 potatoes to make 12 potato pancakes.
Which of the following statements are true?
Answers
The answers are A, B, and D.
The given information is that Tomas needs 6 potatoes to make 12 potato pancakes. Thus, we can assume it takes 1 potato to make 2 potato pancakes.
An answer choice must have two times more pancakes than potatoes. Only A, B, and D satisfy this. The others can be confusing if the multiplication is not executed properly.
(The picture didn't come up but I think this is the answer)
Write down letters of the circled points and order them by least to greasiest. You will spell a word that describes y way to compare quantities
Answers
One way to compare quantities is with fractional numbers that represent quantities using divided numbers.
What is a fraction?Fractional number is a mathematical concept that refers to a quantity divided by another quantity. Common fractions are made up of: numerator, denominator and dividing line between them (horizontal or oblique bar).
The denominator "b" expresses the number of equal parts that represent the unit.The numerator "a" indicates how many of them are taken.Some examples of fractional numbers are:
[tex]\frac{1}{2}[/tex][tex]\frac{2}{4}[/tex][tex]\frac{3}{4}[/tex][tex]\frac{50}{100}[/tex]Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.
Learn more about fractional numbers in: https://brainly.com/question/13398430
Answer:
The word is RATIO.
Step-by-step explanation:
Your problem is incomplete. However, I came across the same problem and solved it (Lesson 23, question 220c). Use the coordinates ONLY from the previous question and compare from there.
five times a number, n, subtracted from 100
Answers
Answer:
100 - 5n
Step-by-step explanation:
100 - 5n
Hope this helps!
What is the simplify of 8/16
Answers
Answer:
1/2
Step-by-step explanation:
8/16 divide by 8
equals 1/2
Answer:
1/2
Step-by-step explanation:
you can divide both the top and bottom by 8
Solve for x and y.
Will give Brainliest
Answers
Answer: x=sqrt21, y=sqrt70
Step-by-step explanation:
A man bought a bow and arrow for £700, paying three times as much for the bow as for the arrow. How much did the bow cost?
Answers
Answer:
2,100 im pretty sure
700×3=2,100
Orlando, Florida is approximately 61 square
miles less than the size of Tampa, Florida. If
Orlando is 114
square miles, find the size of
Tampa.
Answers
Answer:
sanaol alam ang sagot
Step-by-step explanation:
salamat sa points
27) Jim and his uncle went to the circus. Together they spent $30, 4/15 of that for a bus ride, 2/5 for food, 7/30 for tickets, and the rest on souvenirs. What part of their money did they spend on souvenirs?
Answers
Answer:
3 dollars
Step-by-step explanation:
4/15 of 30 = $8
2/5 of 30 = $12
7/30 of 30 = $7
8 + 7 + 12 = $27
30 - 27 = $3
They only had 3 dollars left after spending everything else they had.
Answer:
3/30
Step-by-step explanation:
4/15 so times 15 by 2 and 4 by 2 to get 8/30
leave 7/30 alone
2/5 five times 6 is 30, since you multiplied 5 by 6 you have to do 2 x 6 which is 12, 12/30
now you can add bc a common denominator 12 + 7 + 8 = 27
30 - 27 = 3, so 3/30ths was spent on souvenirs.
Find the circumference of the object. Use $3.14 or 22/7
for Pi. Round to the nearest hundredth if necessary.
Answers
Answer:
18.84
Step-by-step explanation:
Circumference = 2πd
where d = diameter
the shape given has a diameter of 6
to find the circumference we simply plug in the value of the diameter as well as π into the formula
formula : C = πd
π = 3.14 and d = 6
C = 3.14(6) = 18.84cm
Please help!! Behind x
Answers
Answer:
A''( -3,-18)
B"(0,-27)
C"(-12,-30)
Step-by-step explanation:
First, shift everything to the left 3 units and down 8 units so the points are
A'(-1,-6)
B'(0,-9)
C'(-4,-10)
Next we multiply everything by 3,
A''( -3,-18)
B"(0,-27)
C"(-12,-30)
3 cups of water are needed to fillup the bottle completely. 10 cups of water are needed to fill up the bucket completely. Each cup has a capacity of 305 ml. What is the capacity of the bucket? Write your answer in litres and mililitres
Answers
Answer:
The bucket has a capacity of 3.05 Liters
Step-by-step explanation:
305ml × 10 = 3,050ml
3,050ml = 3.05L