1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?
Answers
Answer:
1. A particular order in which related events, movements, or things follow each other.
2. A term
3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.
4. Sequence of numbers such that the difference between the consecutive terms is constant.
Related Questions
Segment AB has a midpoint M. If A is located at (4, 2) and M is located at (7, -3), what are the coordinated of B?
Answers
−
8
,
3
)
Explanation:
The coordinates are ordered pairs with the
x
value listed first.
The change in the
x
position is
4
−
−
2
=
6
The change in the
y
position is
7
−
5
=
2
Since the midpoint is halfway between A and B, the change will stay the same, so
x
is
−
2
−
6
=
−
8
and
y
is
5
−
2
=
3
olivia can run 100 yards in 15 seconds. what is her speed in miles per hour?
Answers
14 mph
Step-by-step explanation:
13.636364
is what you get by doing
100/15 then you get 6.6666......7
after that you multiply that by 3600 because thats how many seconds in that hour.
Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph
PLEASE MARK MY ANSWER BRAINLIEST
Find the perimeter of triangle PQR if the vertices are P(3,0), Q(-1,3) and R(11,6).
Answers
[tex]\dag\bf\:P(x_1,y_1)=(3,0)[/tex]
[tex]\dag\bf\:Q(x_2,y_2)=(-1,3)[/tex]
[tex]\dag\bf\:R(x_3,y_3)=(11,6)[/tex]
❅ Distance between P and Q :
[tex]\sf\:PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-1-3)^2+(3-0)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-4)^2+(3)^2}[/tex]
[tex]\sf\:PQ=\sqrt{16+9}[/tex]
[tex]\sf\:PQ=\sqrt{25}[/tex]
[tex]\bf\:PQ=5\:unit[/tex]
❅ Distance between Q and R :
[tex]\sf\:QR=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]
[tex]\sf\:QR=\sqrt{(11-(-1))^2+(6-3)^2}[/tex]
[tex]\sf\:QR=\sqrt{(12)^2+(3)^2}[/tex]
[tex]\sf\:QR=\sqrt{144+9}[/tex]
[tex]\sf\:QR=\sqrt{153}[/tex]
[tex]\bf\:QR=12.37\:unit[/tex]
❅ Distance between P and R :
[tex]\sf\:PR=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}[/tex]
[tex]\sf\:PR=\sqrt{(3-11)^2+(0-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{64+36}[/tex]
[tex]\sf\:PR=\sqrt{100}[/tex]
[tex]\bf\:PR=10\:unit[/tex]
◈ Perimeter of Triangle :
➝ perimeter = PQ + QR + PR
➝ perimeter = 5 + 12.37 + 10
➝ Perimeter = 27.37 unit
Which of the following must be true?
А
If (d) = 58 then d = 58 only
B
If yl = 11 then y = 11 and y = -11
C
If [x] = 18 then r = -18 only
D
If [n] = -49 then n = -49 and n = 49
Answers
Answer:
A
Step-by-step explanation:
58=58
write the prime factorization of the following
(A) 27
(B) 64
(C) 125
Answers
Answer:
A) 27 = 3 × 3 × 3
B) 64 = 2 × 2 × 2 × 2 × 2 × 2
C) 125 = 5 × 5× 5
Step-by-step explanation:
Answer:
(A) 27 = 3 by 3 by 3
(B) 64 = 2 by 2 by 2 by 2 by 2 by 2
(C) 125 = 5 by 5 by 5
Step-by-step explanation:
ax + by = c
Solve for b
Answers
Answer:
[tex]b = \frac{c - ax}{y}[/tex]
Step-by-step explanation:
[tex]ax + by = c \\ by = c - ax \\ b = \frac{c - ax}{y} [/tex]
1. Describe two ways the numbers in each proportion are related.
a) 5:20 = 125:500 b) 10:1 = 120:12 c) 75:25 = 300: 100
d) 1:3 = 16:48
2. Multiply between ratios to determine each value of n.
a) 2:5 = 8:n b) 2:n = 6:9 c) n:5 = 12:20
d) 8:n = 4:15
Need
Read
the lo
3. Multiply within ratios to determine each value of z.
a) 4:8 = 3:2 b) 5:2 = 6:18 c) z: 14 = 10:20
d) 3:21 = z:56
Answers
Answer:
Each value has been identified below.
Step-by-step explanation:
(1) We have to describe two ways the numbers in each proportion are related;
(a) 5 : 20 = 125 : 500
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
20 [tex]\times[/tex] 125 = 5 [tex]\times[/tex] 500
2500 = 2500
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 5 : 20 = 125 : 500
We will check that; [tex]\frac{5}{125}[/tex] is equal to [tex]\frac{20}{500}[/tex] or not.
[tex]\frac{5}{125} = \frac{20}{500}[/tex]
[tex]\frac{1}{25} = \frac{1}{25}[/tex]
This shows that the given proportion is related.
(b) 10 : 1 = 120 : 12
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
1 [tex]\times[/tex] 120 = 10 [tex]\times[/tex] 12
120 = 120
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 10 : 1 = 120 : 12
We will check that; [tex]\frac{10}{120}[/tex] is equal to [tex]\frac{1}{12}[/tex] or not.
[tex]\frac{10}{120} = \frac{1}{12}[/tex]
[tex]\frac{1}{12} = \frac{1}{12}[/tex]
This shows that the given proportion is related.
(c) 75 : 25 = 300 : 100
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
25 [tex]\times[/tex] 300 = 75 [tex]\times[/tex] 100
7500 = 7500
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 75 : 25 = 300 : 100
We will check that; [tex]\frac{75}{300}[/tex] is equal to [tex]\frac{25}{100}[/tex] or not.
[tex]\frac{75}{300} = \frac{25}{100}[/tex]
[tex]\frac{1}{4} = \frac{1}{4}[/tex]
This shows that the given proportion is related.
(d) 1 : 3 = 16 : 48
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
3 [tex]\times[/tex] 16 = 1 [tex]\times[/tex] 48
48 = 48
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 1 : 3 = 16 : 48
We will check that; [tex]\frac{1}{16}[/tex] is equal to [tex]\frac{3}{48}[/tex] or not.
[tex]\frac{1}{16} = \frac{3}{48}[/tex]
[tex]\frac{1}{16} = \frac{1}{16}[/tex]
This shows that the given proportion is related.
(2) Now we have to determine each value of n in the following given ratios;
(a) 2 : 5 = 8 : n
As we know that Product of means = Product of extremes
5 [tex]\times[/tex] 8 = 2 [tex]\times[/tex] n
40 = 2n
[tex]n=\frac{40}{2}[/tex] = 20
Hence, the value of n is 20.
(b) 2 : n = 6 : 9
As we know that Product of means = Product of extremes
n [tex]\times[/tex] 6 = 2 [tex]\times[/tex] 9
6n = 18
[tex]n=\frac{18}{6}[/tex] = 3
Hence, the value of n is 3.
(c) n : 5 = 12 : 20
As we know that Product of means = Product of extremes
5 [tex]\times[/tex] 12 = n [tex]\times[/tex] 20
60 = 20n
[tex]n=\frac{60}{20}[/tex] = 3
Hence, the value of n is 3.
(d) 8 : n = 4 : 15
As we know that Product of means = Product of extremes
n [tex]\times[/tex] 4 = 8 [tex]\times[/tex] 15
4n = 120
[tex]n=\frac{120}{4}[/tex] = 30
Hence, the value of n is 30.
(3) Now we have to determine each value of z in the following given ratios;
(a) 4 : 8 = 3 : z
As we know that Product of means = Product of extremes
8 [tex]\times[/tex] 3 = 4 [tex]\times[/tex] z
24 = 4z
[tex]z=\frac{24}{4}[/tex] = 6
Hence, the value of z is 6.
(b) 5 : z = 6 : 18
As we know that Product of means = Product of extremes
z [tex]\times[/tex] 6 = 5 [tex]\times[/tex] 18
6z = 90
[tex]z=\frac{90}{6}[/tex] = 15
Hence, the value of z is 15.
(c) z : 14 = 10 : 20
As we know that Product of means = Product of extremes
14 [tex]\times[/tex] 10 = z [tex]\times[/tex] 20
140 = 20z
[tex]z=\frac{140}{20}[/tex] = 7
Hence, the value of z is 7.
(d) 3 : 21 = z : 56
As we know that Product of means = Product of extremes
21 [tex]\times[/tex] z = 3 [tex]\times[/tex] 56
21z = 168
[tex]z=\frac{168}{21}[/tex] = 8
Hence, the value of z is 8.
Given f(x)= 18x + 12, find f(5).
Answers
Answer:
102
Step-by-step explanation:
Given f(x) =18x+12
F(5)=18(5)+12
=90+12
=102
What is the Standard form of five and three hundred fifty-two thousandths?
Answers
5.352
Hoped this helped.
Please add brainliest :)
Good luck mate ;) !
Describe the 4 cases to look out for when dealing with adding or subtracting integers
Answers
Answer:
Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.
Step-by-step explanation:
In the 2010 Winter Olympics, American Tim Burke aspired to win an Olympic medal in the biathlon, an event that combines cross-country skiing and target shooting. Unfortunately, he wasn’t as successful as he’d hoped. After the 20K race, where he only hit 15 of his 20 targets, he criticized himself, saying his shooting was way below his average of 85% on the season so far. What does it mean if we claim that Burke’s ability to hit a target is 85%?
Answers
Answer:
If we claim that his ability to hit a target is 85% it means that he normally hits 17 out of 20 targets or 85 out of every 100 targets
Step-by-step explanation:
Percentage is the mathematics term for a ratio of numbers expressed in terms multiple of 100 and denoted by the symbol %. The percentage value has no unit and is used to compare proportion of items or to serve as a visible guide to the relative proportion event occurrence or prevalence of a characteristics within a population.
In the question, we have, the athlete's hitting average given as 85% of targets which means when presented with 20 targets, he is expected to hit 85% of the targets which is 0.85 × 20 = 17 hits.
what are the two ways that rational numbers are written as decimals
Answers
Answer:
Repeating Decimals and Terminating Decimals
Step-by-step explanation:
Any number that can be written in fraction form is a rational number.
Hope This Helps :)
How many total necklaces can Maria own?
Answers
Answer:
49
Step-by-step explanation:
She can buy 46 more and she has three, so she can own 49
Answer:
Maria can own 15 necklaces.
Step-by-step explanation:
Sorry if i'm wrong but i hope this helps : )
Will you brainliest!!! Only question 10-14!
Answers
Answer:
10. <PTR = 80
11. < PTQ = 45
12. <QTS = 130 - 45 = 85
13. Luis didn't subtract 80 by 40
14. 180
Evaluate this expression for b= 3, and a=2. b-a
Answers
b-a=3-2=1
answer b-a=1
Answer: 1
Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.
please solve the following question
Answers
Answer:
5
Step-by-step explanation:
15(8/(8+16))
15(8/(24))
15(1/3)
5
Answer:
4.95
Step-by-step explanation:
15(8÷(8+16))
= 15(8÷24)
= 15×0.33
Reason for this answer↑: It was written as “8÷24” not “24÷8”
= 4.95
A television set that retails for $600 is markdown by 20%. at checkout, an additional 20% is marked off the price of the tv. Find the final selling price of the television set.
Answers
Answer:
$360
Step-by-step explanation:
i added 20%+20%=40% so you turn 40% into.40 then you multiply 600×.40 to get 240 since it is discounted you have to subtract so you subtract 600-240 to get 360 which is your final product
Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?
Answers
Answer:
A) Steve = Ryan +18
B) Steve + Ryan = 144
A) Steve -Ryan = 18 then adding B
B) Steve + Ryan = 162
2 Steve = 162
Steve weighs 81 pounds
Ryan weighs (81 -18) pounds 63 pounds
Step-by-step explanation:
X + 18 = Steve’s weight
144 = total weight for both
X + X + 18 = 144 ( equation)
2X = 144 -18 (group your equation)
2X/2 = 126/2 (divide both sides by 2)
X = 63 ( Ryan’s age)
X + 18 = 81 ( Steve’s age)
Hotah and his 3 friends are each running 1/4 of a 2-mile relay race. How far is each person running?
Answers
Answer:
Each friend is running a half mile.
They are running 1/2 mile.
What are arithmetic operations?The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.
They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.
Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race
total distance covered by them out of 2 miles is
2 x 1/4 = 1/2 miles
Therefore each person runs at 1/2 a mile.
Learn more about arithmetic operations;
https://brainly.com/question/25834626
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Steve is cutting out decoration stars for his neighbors Labor day celebration. Steve has to cut out 9 stars in the last 10 minutes. How many stars should Steve expect to cut in one hour?
Answers
Answer:
54 Stars
Step-by-step explanation:
Step 1:
60 mins = 1 Hour
Step 1:
10 × 6 = 60
Step 2:
9 × 6 = 54
Answer:
54 Stars
Hope This Helps :)
Answer:
54
In 1min star cutted= 9÷10
So in 1 hr or in60 min star cutted =60×9÷10
=54
Manny has four pieces of carpet in the shape of a square like the one shown. He wants to use them together to carpet a portion of his basement. What is the area of the space he can cover with carpet?
Answers
Answer:
the area of the space he can cover with carpet = 16x⁴ yards²
Step-by-step explanation:
The shape of the square is not shown in this question.
Let assume that the base of the shape of the square is 2x² yards.
and Manny has four of that.
Then side we known the base, we can calculate for the area of the square.
Area of a square = l²
Area of a square = (2x² yards)²
Area of a square = 4x⁴ yards²
However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.
Let the pieces of the carpet be carpet A, B, C and D
where; their side is 2x² yards, then their area = 4x⁴ yards²
the area of the space he can cover with carpet = A+B+C+D
the area of the space he can cover with carpet = 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards² + 4x⁴ yards²
the area of the space he can cover with carpet = 16x⁴ yards²
Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes way 2 lb, and her books (b) weigh 3 lb each. how many books can she carry in her backpack?
Answers
Answer:
Toni can carry a total of 5 books.
Step-by-step explanation:
[tex]1+2+3b\leq18[/tex] - Write the inequality out .
[tex]3+3b\leq 18[/tex] - Combine like terms.
[tex]3b\leq 15[/tex] - Subtract 3 from both sides .
[tex]b\leq 5[/tex] - Divide both sides by 3.
She can carry a max of 5 books.
Hope this helps!
solve for c: a(c−b)=d
Answers
The answer to this D=A(c-B)
find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6
Answers
Answer:
[tex]y = 2x - 6[/tex]
Step-by-step explanation:
Given
Equation: [tex]y = 2x - 6[/tex]
Required
Determine the equation of Point: (5,4)
First, we need to determine the slope of [tex]y = 2x - 6[/tex]
The general form of an equation is [tex]y = mx + b[/tex]
Where m represents the slope;
Hence; [tex]m =2[/tex]
Since the equation and the point are parallel. then they have the same slope (m).
[tex]m = 2[/tex]
Next, is to determine the equation of the point, using the following formula:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,4)[/tex]
So, the equation becomes
[tex]2 = \frac{y - 4}{x - 5}[/tex]
Cross Multiply
[tex]y - 4 = 2(x - 5)[/tex]
Open Bracket
[tex]y - 4 = 2x - 10[/tex]
Make y the subject of formula
[tex]y = 2x - 10 + 4[/tex]
[tex]y = 2x - 6[/tex]
Hence, the equation is [tex]y = 2x - 6[/tex]
smith math class has 40 students but students drop out at a rate of two students per week how much students will be in mr.smith class after 7 weeks of school
Answers
40 - (2 x 7)
40 - 14 = 26
1) 116 = -2x - 3(1 + 5x)
Answers
Answer:
x = -7
Step-by-step explanation:
I hope this helps!
Hi there!
~
[tex]116 = -2x - 3(1 + 5x)[/tex]
= [tex]x = -7[/tex]
Hope this helped you!
What is the simplified form of this expression (8x^2-3x+1/3) - (2x^2-8x+3/5)
Answers
Answer:=6x2+5x + −4/15
Step-by-step explanation:Let's simplify step-by-step.
8x2−3x+13−(2x2−8x+3/5)
Distribute the Negative Sign:
=8x2−3x+13+−1(2x2−8x+3/5)
=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)
=8x2+−3x+13+−2x2+8x+−3/5
Combine Like Terms:
=8x2+−3x+1/3+−2x2+8x+−3/5
=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)
=6x2+5x+−4/15
HELP ASAP PLEASE!!!!
Answers
Simplify numbers to layman terms.
[tex]\frac{\pi}{2}[/tex] will be a little more than [tex]\frac{3}{2}[/tex], since [tex]\pi[/tex] is 3.14.
[tex]-\sqrt{18}[/tex] will be a little less than -4, since [tex]-\sqrt{18}<-\sqrt{16}[/tex].
[tex]\sqrt{18}[/tex] will be a little more than 4, since [tex]\sqrt{18}>\sqrt{16}[/tex]
[tex]-\sqrt{7}[/tex] will be a little less than -2, since [tex]-\sqrt{7}<-\sqrt{4}[/tex]
Now we can order them.
[tex]-\sqrt{18},-\sqrt{7},\frac{\pi}{2},\sqrt{18}[/tex]
Hope this helps.
頑張って!
Answer:
1: negative square root of 18 (-4.2)
2: negative square root of 7 (-2.6)
3: pi/2 (1.57)
4: square root of 15 (3.9)
some are approximate calculations, but you only need the order of from smallest to largest number
name the part of the circle
Answers
Answer:
radius
Step-by-step explanation:
i believe it is radius because in my point of view it looks like the line travels up to the half of the circle.
The frequency table shows the results of tossing a ball 24 times into the four coloured sections on a carnival game Section | number of | Tosses Blue | 3 Green | 5 Red | 12 Yellow | 4 Based on the data on the table, how many times will the ball most likely land in the yellow section when it is tossed 200 times? A. 35 B. 40 C. 50 D. 65
Answers
Answer:
50
Step-by-step explanation:
you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5
Answer: 50
Step-by-step explanation: