The given list is a finite series.
There are two parts to our question.
In the first part of the question, we are asked whether the given list of numbers is a sequence or a series.
To answer this part, we should be familiar with what the concept of sequence and series.
A sequence is a plain list of numbers.
A series is a sum of numbers in the list.
The given list looks something like this,
5+10+ . . . . . . +25
So, considering the given definitions of both sequence and series we can clearly tell it is a series.
Now up to the second part of the question, is the given series finite or infinite?
We know this is finite because it has a start of 5 and an end of 25. There's an ellipsis in the middle, but it has a beginning and an end, so this will be the right answer.
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Solve for k kk. Give an exact answer. 2.5 ( 4 k + 2 ) = 12 k 2.5(4k+2)=12k2, point, 5, left parenthesis, 4, k, plus, 2, right parenthesis, equals, 12, k k = k=k, equals
The solution for variable k according to the equation given in the task content is; 2.5.
What is the value of k according to the equation given in the task content?It follows from the task content that the value of variable k is to determined.
Given;
2.5 ( 4 k + 2 ) = 12 k
To find: k.
Solving the parentheses; we have;
10k +5 = 12k
Collect like terms;
5 = 2k
k = 5/2
k = 2.5.
Ultimately, the value of k according to the given task is; 2.5.
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The table shows information about the
faces, edges and vertices for some
pyramids.
Shape of Faces Edges Vertices
base
Triangle 4
Square 5
Pentagon 6
Hexagon
7
6
8
10
12
Formula:
Write a formula that connects the
number of sides of the base, S,
with the number of faces, F.
Hence, work out the number of faces a
pyramid with a 20-sided base has.
4
5
6
7
Faces:
Formula:
E = 2S is the equation that links the base's S number of sides to its F number of faces.
E = 2S
S is the number of sides on a base.
E equals the number of edges.
Triangle (1)
3 and S are the base side counts.
edges equal 6, hence the answer is E.
E = 2S
Table 2
Base has four sides, hence the response is S.
edge count = E (8 edges)
E = 2E
3rd Pentagon
S is equal to the five sides of the base.
The letter E is equivalent to 10 edges.
S = 2E
4) A hexagon
S is equal to the six sides of the base.
Edge count: 12 equals E.
E = 2S
Thus, it is shown that E = 2S.
The 30 sides of the pyramid foundation.
The answer is S since the base has 20 sides.
The number of edges is E = 2S = 20 x 2 = 40 edges.
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Simplify 5x√3x − 2x√3x − x√3x
Answer:
2√3 х^2 this solution
Step-by-step explanation:
I checked everything is correct
Tyrone says it is not possible to show that Δ A D E ≅ Δ A C B . Lorenzo disagrees, explaining that since ∠A D E ≅ ∠A C B , and ∠ A ≅ ∠ A by the Reflexive Property, ΔA D E ≅ ΔA C B . Is either of them correct? Explain.
We can conclude that ΔADE ≅ ΔACB under AA condition.
What exactly does the term "triangle congruency" mean?When the three corresponding sides and angles of two triangles are the same size, they are said to be congruent.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are moved, they will coincide.When two triangles satisfy the five congruence conditions, congruence exists.They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
To prove that: ΔADE ≅ ΔACB
∠A ≅ ∠A = Given∠ADE ≅ ∠ACB = Given∠AED ≅ ∠ABC = AA condition proves that triangles are congruent, so these 2 angles will also be identical.Therefore, ΔADE ≅ ΔACB under AA condition.
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larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 useing front end estimateion what is the best estimateion for the total number of baseball cards she has?
If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.
Estimation for the total numberNumber of cards in each of the boxes
First box =17 cards
Second one box=21 cards
Third one box =22 cards
Fourth one box=16 cards
Now let find the best best estimation for the total number of baseball cards:
Total number of baseball cards=17+21+22+16
Total number of baseball cards=20+20+20+20 (rounded to the nearest tens)
Total number of baseball cards=80 cards
Therefore If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.
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A number line can represent positions that are north and south of a truck stop on a highway
Positive positions are north of the truck stop and negative positions are south of the truck stop. What is the value, in miles, of each position on a number line?
1. The truck stop ______
2. 5 miles north of the truck stop _____
3. 3.5 mlles south of the truck stop ____
WILL GIVE BRAINLIEST, TYYY !
Using integer numbers, the values of the positions in this problem are given as follows:
1. 0.
2. 5.
3. -3.5.
What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
In the context of each problem, integer numbers may have different representations, and for this problem, we have that:
The truck stop is the origin, that is, position zero.Positions north of the truck stop will be represented by positive values.Positions south of the truck stop will be represented by negative values.Hence:
5 miles north is represented by the integer 5.3.5 miles south is represented by the integer -3.5.Hence the values of the positions in this problem are given as follows:
1. 0.
2. 5.
3. -3.5.
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Find the 10 th term of each geometric sequence. a₉ = -1/3, r= 1/2
The 10th term of the geometric sequence is -1/6.
Let the following be a geometric sequence:
a(1), a(2), a(3), a(4), a(5), ....
Then we have:
a(2) = a(1) . r
a(3) = a(2) . r
Continue the process, we have
a(n) = a(n-1) . r
Where:
a(n) = nth term
a(n-1) = (n-1)th term
r = ratio
In the given problem, a(9) = -1/3, r = 1/2
Plug these into the above formula:
a(10) = a(9) . r
= (-1/3) . 1/2 = -1/6
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Why are there 12 signs of the zodiac. how many people must be present for there to be at least a 50hance that two or more of them?
The answer to the given problem is 5
Probability is the degree to which an occurrence is likely to take place, as determined by the proportion of favorable examples to the total number of instances for which it is probable to have occurred.
Let's assume
1 - P(no one has the same sign) >= 0.5
P(two or more people have the same sign) = 1 - P(no one has the same sign)
= 1 - (12 / (12-n)) / 12^n
1-0.5=0.5 >= P (no one has the same sign) = 12/(12^n x (12-n))
0.5 >= 12 /(12^n x (12-n))
Solve for n.
n = 5
Hence the answer is 5
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HELPPP I NEED IT ASAP OR HOW EVER LONG IT TAKES U PLS SHOW PROCESS TOO IM BEGGING
The numeric values of the function f(x) = 5x - 7 are given as follows:
a) f(-2) = -17.
b) f(1/2) = -9/2.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the function is not 100% visible from the picture, but we are going to suppose it is given by:
f(x) = 5x - 7.
At x = -2, the numeric value is:
f(-2) = 5(-2) - 7 = -10 - 7 = -17.
At x = 1/2, the numeric value is:
f(1/2) = 5(1/2) - 7 = 5/2 - 14/2 = -9/2.
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A women's coat comes in sizes 4,6,8 , or 10 in black, brown, ivory, and cinnamon. How many different coats could be selected?
As women's coat comes in sizes 4,6,8 , or 10 in black, brown, ivory, and cinnamon , possibility of selection of different coats is equal to 16.
As given in the question,
Availability of size number in women's coat = 4, 6, 8, or 10
⇒N(S) =4
Availability of color in women's coat = black, brown, ivory, and cinnamon
⇒ N(C) =4
Possibility of selection of different women's coats = N(S) × N (C)
=4 × 4
=16
Therefore, the possibility of selection of different coats is equal to 16 as per the availability of women's coat sizes and colors.
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[ Brainliest ]
Apply it! The measure of each central angle of a regular 36-sided polygon is ___ degrees.
Answer:
10
Step-by-step explanation:
there’s 360 degrees in a full circular area, so dividing it by 36 sides equals 10 degrees each.
Write an equation of the line through each pair of points in slope-intercept form.
(0,5) and (3,3)
The equation of line is y = (-2/3)x + 5
Given the points:
(x₁, y₁) = (0, 5)
(x₂, y₂) = ( 3, 3)
The slope-intercept form:
y = mx + b
Where, m is the slope and b is the y-intercept, that is (0, b)
The formula for slope:
m = (y₂ – y₁) / (x₂ – x₁)
We have given
x₁ = 0
x₂ = 3
y₁ = 5
y₂ =3
So,
m = (3 – 5) / (3 – 0) = -2/3
here, we have b = 5
Therefore we have the equation of the line as:
y = mx + b
That is the equation of line is y = (-2/3)x + 5
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While catching fireflies,
you and a friend decide to have a competition. After
m minutes, you have (3m + 13) fireflies and your friend
has (4m + 6) fireflies. The competition lasts 3 minutes who was more
Answer:
Step-by-step explanation:
Lets look at the expressions with respect to the competition parameters: Expressions:You Y =3m+13Friend(F)=4m+6 1. The competition begins AFTER you and friend already caught some flies. This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend). So the number of flies caught BEFORE THE COMPETITION would be 13+6=19 flies total 2. The competition length was "m" minutes long when flies are caught and counted. This would be represented by the VARIABLE terms in each expression (in this case, 3m for you, 4m for friend). We are not given a numeric value for the variable "m" to evaluate. So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be 3m+4m=7m flies total ...and the number of flies per minute would be calculated as 7m÷m=7 flies per min....total #flies divided by total minutes 3. If the problem asked for the total number of flies caught by you and friend, before and after the competition 7m+19 flies total add like terms in each expression.
Answer:
M = 3
3 x 3 + 13 = 22
4 x 3 + 6 = 18
"You" Has more.
^^ hope this helps.
Have a wonderful day!
Find the arithmetic mean a n of the given terms. a n₋₁ = r, a n₊₁=s
The arithmetic mean a n of the given terms a n₋₁ = r, a n₊₁=s is
[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex].
What is arithmetic mean?a n₋₁ = r, a n₊₁=s is
[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex]
The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.
The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).
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The box plot represents the distribution of the number of children in 30 different families. After further examination, the value of 12 is removed for having been recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed. The median is 2 children for both plots. Explain why the median remains the same when 12 was removed from the data set.
It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.
What is Box plot definition?Statistical data based on the minimum, first quartile, median, third quartile, and maximum are shown graphically in a box plot. The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.
Therefore, if there are two kids in the median for both plots when 12 was eliminated from the data set, it remained unchanged.
In conclusion, the median remains the same because removing an extreme value from a data set will not have much effect on the median.
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If the sum of 12 numbers is 480 then what is their mean? (a) 20 (b)40 (c) 30 (d)24
Answer:
A
Step-by-step explanation:
40 x 12 = 480
Find a*b
a = 4i + 8j
b = -2i + 3j
Rocco has 1.5 liters of orange soda and 2.25 liters of grape soda in his fridge. Antonio has 1.15 liters of orange soda and 0.62 liters of grape
soda. How much more soda does Rocco have than Angelo?
Answer:
rocco has 0.10 liters orange soda and 1.63 liters of grape soda more angelo has
than
Which set of numbers are irrational number
Answer:
numbers like 9.58596638927, pi, square root of 2, or square root of 11
Please help!! Use the vertical line test to determine if each graph shows a relation that is a function.
13. What is the mean of the data set in the box below? −8, −6, −2, 0, −6, −8, 4, −7, −8, 1 A. −8 C. −6 B. −7 D. −4
Answer: D. -4
Step-by-step explanation:
-8 + -6 + -2 + 0 + -6 + -8 + 4 + -7 + -8 + 1= - 40
-40 divided by 10= -4
(You're dividing by 10 because there are 10 numbers that you added up)
The mean is -4.
PLEASE HELP ASAP!!! 15 POINTS!!
Use the sentence to answer the question.
The mechanic said the car needed some brake things replaced.
Which words can replace the imprecise phrase some brake things with domain-specific language?
A. things that stop the car
B: some parts that wore out
C. the wheel cylinders
D. some important parts
Answer:
the wheel cylinders
Step-by-step explanation:
brainliest?
Answer:
the answer is c, the wheel cylinders
How many gallons of a 22% salt solution must be
mixed with a 38% salt solution to make 20 gallons of
a 28% salt solution?
Answer:
You will need 12.5 gallons of the 22% salt solution and 7.5 gallons of the 38% of the salt solution
Step-by-step explanation:
.22x + .38(20 -x) = .28(20) I want to clear the decimal, so I will multiple through by 100
100[.22x + .38(20-x)] = [.28(20)]100
22x + 38(20-x) = 28(20) Distribute the 38
22x + 760 -38x = 560 combine the x's
-16x + 720 = 560 Subtract 720 from both sides
-16x = -200 Divide both sides by -16
x = 12.5
20 - 12.5 = 7.5
Caroline is the youngest of four siblings whose ages are consecutive odd integers. If the sum of their ages is 9696, find Caroline's age.
Answer:
2421 or 21
Step-by-step explanation:
Hello!
Consecutive odd integers are set of odd integers that come right after each other.
Let "C" be Caroline's age. Caroline's next older sibling would be C + 2, as odd integers come to every two numbers, and the next would be C + 4, and finally C + 6.
If we add up all the expressions, we should get 9696.
Solve for CC + C + 2 + C + 4 + C + 6 = 96964C + 12 = 96964C = 9684C = 2421The solution to this question does not seem reasonable. I assume that the correct sum of the age should be 96, given 9696.
If this is the case, then Caroline's age would be 21, using the same general logic.
What is the greatest common factor of 6 and 12?
02
0 3
04
06
Answer:
the greatest common factor of 6 and 12 is 6
Step-by-step explanation:
6 can be divided by six, one time. 12 can be divided by six, two times.
The answer is 6.
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The GCF of a number is the greatest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.
Feeling Generous
4*4*2
*= times
Answer: 32 Times
Step-by-step explanation:
4 * 4 * 2 = 32
Answer: 32
Step-by-step explanation:
4*4=16
16*2=32
or just look it up on whatever browser your using.
How to draw 2 number lines that show 0.200 and 1/5 are equivalent
We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.
What is a Number Line?The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.
We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.This line will include points at 0.2, 0.4, 0.6, 0.8, and 1.0.Next, we create a second number line that has five equally spaced segments and ranges from 0 to 5/5.This line will have the following points: 1, 2, 3, 5, 4, and 5/5.These values of 0.200 and 1/5 will be equivalent, as demonstrated by the equal segments.To know more about the number line, visit:
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Write the equation of each line in standard form.
slope =2 ;(2,6)
The equation for this line in standard form is 2x + y = 10.
These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b using the m given in the problem and the b you just solved. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.
The slope is m=(-A / B).
A line with a slope of (-2) has the following equation:
2x+y=C Finding the constant C requires a point. Use (2,6)
2(2) +6 = C
10 = C
The equation for a straight line in standard form is 2x + y = 10
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Celeste rides her bike to work, averaging 12 miles per hour. On her way home she averages 8 miles per hour. If the total trip takes one hour, how far does she live from her work? Fill out the Rate column in the table below.
Answer: Celeste lives 20 miles from her workplace.
Step-by-step explanation:
Answer:
Step-by-step explanation:
if it takes 12 miles to get there in the morning +
8 miles at the end
she lives 20 miles from her workplace.
Complete the statement.
7-(-4) is
direction.
units from 7 in the
7-(-4) is 4 units from 7 in the negative direction.
The number line keeps going both ways. You can include 6, 7, and so on, all the way up to the hundreds, thousands, and beyond, because the set of natural numbers only extends to the right.
A number line is a diagram that shows numerical values along a straight line that can be drawn either horizontally or vertically. It's simple for us to compare and compute basic arithmetic operations on numbers when they are written down on a number line. A number line's origin is typically thought to be zero (zero). There are only positive numbers to the right of zero and only negative numbers to the left of zero.
therefore,
7 - (-4)
= 7 + 4
= 11
when we simplify the expression we get the answer as 11 units
the result is that 11 units is 4 units away from 7 in a negative direction.
Hence we get the complete sentence.
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