Am nevoie de raspuns la acest exercitiu.
— 5х + Зу = 51
y = 10x 8
Answer:
n,.bnmvm
Step-by-step explanation
mnmnmm,
Prove the following using a direct proof. Your proof should be expressed in com-plete English sentences.
If a, b, and c are integers such that b is a multiple of a3 and c is a multiple of b2, then c is a multiple of a6.
Answer:
Proved
Step-by-step explanation:
Given
Integers: a, b, c
Required
Show that c is a multiple of a⁶
First, we need to list out the multiples of a³
\(a^3 -> a^3, a^6, a^9, a^{12}...\)
Since b is a multiple of a³, then b can be any of the listed multiples
Next, is to list out the multiples of b²
\(b^2 -> b^2,b^4,b^6,b^8,b^{10}....\)
Since c is a multiple of b², then c can be any of the listed multiples
To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a
Substitute a³ for b in
\(b^2 -> b^2,b^4,b^6,b^8,b^{10}....\)
\((a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....\)
\(a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....\)
Recall that c is a multiple of b²
From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶
Yes C should be multiple of \(a^6\)
Calculation of the multiple:Since it is mentioned that b should be the multiple of \(a^3\)
So,
\(b = a^3R\) here some integer should be R
And, the c should be multiple of \(b^2\)
So,
\(C = b^2 r\) for some integer r
Now we have to substitute the value of b from the first equation
i.e.
\(C = (a^3R)^2r = a^6 (R^2r)\)
Here \(R^2r\) is some integer
so,
\(C = a^6R'\)
Therefore, we can say that Yes C should be multiple of \(a^6\)
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Ian deposited $1,000 into an account that earns 5% simple annual interest. Jackson deposited $1,000 into an account that earns 5% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which investment earns more interest after 10 years? How much more interest?
Ian earned $500 in simple annual interest after 10 years, while Jackson earned $1,128.89 more in interest than Ian after 10 years due to compound interest.
Ian's account earns simple annual interest, which means that he earns 5% interest on his initial deposit every year. After 10 years, he will have earned
interest = principal x rate x time
interest = 1000 x 0.05 x 10
interest = $500
Jackson's account earns interest that is compounded annually, which means that he earns 5% interest on his initial deposit plus any interest that has already been earned every year. After 10 years, he will have earned
\(balance = principal x (1 + rate)^{time}\)
balance = 1000 x (1 + 0.05)¹⁰
balance = $1,628.89
To find out how much more interest Jackson earned than Ian, we need to subtract the interest Ian earned from the balance in Jackson's account
$1,628.89 - $500 = $1,128.89
Therefore, Jackson earned $1,128.89 more in interest than Ian after 10 years.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
A student solved the equation below by graphing. log subscript 6 baseline (x -1) = log subscript 2 (2x+2)
Which statement about the graph is true
O The curves do not intersect
O The curves intersect at one point
O The curves intersect at two point
O The curves appear to concide
Based on the graph of logarithmic function log6(x – 1) = log2(2x + 2), the statement true about the graph is that the curves do not intersect. (Option A)
In the given case, two logarithmic functions are given: log6(x – 1) and log2(2x + 2). The graph of inverse function of any function is the reflection of the graph of the function about the line y=x . All logarithmic graphs in the form f(x)=logb(x) will have a vertical asymptote on the y-axis and an x-intercept at (1, 0) and will pass through (b , 1). Graphing the given function which is attached, it can be seen that the two curves do not intercept and indicates that the equation has no solution.
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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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WILL GIVE BRAINLIEST if you explain your answer!!
Answer:
x=-3
Step-by-step explanation:
You need to delete the root by ^2. First you need to leave it alone
\(\sqrt{x+7}-x=5\\\sqrt{x+7}=5-x\\(\sqrt{x+7} )^{2}=(5-x)^{2} \\x+7=25+10x+x^2\\x-10x=25+x^2-7\\-9x=18+x^2\\-x^2-9x-18=0\\-1(x^2+9x+18)=0\\x^2+9x+18=\frac{0}{-1}\\x^2+9x+18=0\\(x+6)(x+3)=0\\x+6=0 ===> x=-6\\x+3=0 ===> x=-3\\Checking\\\sqrt{-6+7}-(-6)=5===>\sqrt{1}+6=7\neq5 \\\\\sqrt{-3+7}-(-3)=5===>\sqrt{4}+3=5=5\\\\So \\x=-3\)
When you graph y ≥ 2x - 5, what part of the half-plane you will shade?
Correct answer= all my points and brainlist wrong= report and take back my points
The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
In the given problem, the inequality presented is;
y ≥ 2x - 5
To graph this, we would use a graphing calculator to find the boundary lines and plane.
In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.
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Samual wrote in his journal, "All squares are rectangles. but not all rectangles are squares." Is this statement true? Explain your answer
Answer:
True
Step-by-step explanation:
The definition of rectangle is a plane 4-sided polygon with 4 90 degree angles. Squares have all of that, but all 4 sides are equal length. All squares match the definition of rectangle, but not all rectangles have 4 equal sides, and therefore not all rectangles are squares.
pls helppppppppppppppp
Answer:
B. 57
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
If there are 24 wins and 19 losses, that leaves 9 games in a tie. So, insert each number where it belongs in the equation.
P=2x+y
P=2*24+9
P=57
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
I need help (x^2 +3) ÷ (x-1)
Answer:
\(x + 1 + \frac{4}{x - 1} \)
Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
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same-sex marriage: in a recent abc news/washington post poll, 1348 adults nationwide answered the question, overall, do you support or oppose allowing gays and lesbians to marry legally? of the respondents, 505 support same-sex marriage. what is the 95 % confidence interval for the proportion of all american adults who support same-sex marriage? http://www.washingtonpost/page/2010-2019/washingtonpost/2015/04/23/national-politics/polling/release 395.xml (0.349, 0.4) (0.361, 0.388) (0.353, 0.396) (0.341, 0.409)
The 95% confidence interval for the proportion of all American adults who support same-sex marriage is
approximately (0.349, 0.4).
Calculate the sample proportion (p) by dividing the number of respondents who support same-sex marriage (505) by
the total number of respondents (1348): p = 505/1348 ≈ 0.3746.
Calculate the standard error (SE) of the sample proportion using the formula:
SE = \(sqrt[(p × (1-p))/n]\)
= \(sqrt[(0.3746 × (10.3746))/1348]\)
≈ 0.0130.
Find the critical value (z) for a 95% confidence interval. For a 95% confidence interval, the critical value is
approximately 1.96.
Calculate the margin of error (ME) using the formula:
ME = z × SE = 1.96 × 0.0130 ≈ 0.0254.
Find the lower and upper limits of the 95% confidence interval by subtracting and adding the margin of error from the
sample proportion, respectively:
- Lower limit: 0.3746 - 0.0254 ≈ 0.3492
- Upper limit: 0.3746 + 0.0254 ≈ 0.4000
Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is
approximately (0.349, 0.4).
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I WILL GIVE U
THE BRAINLEST!!!!!
I WILL GIVE U THE BRAINLEST!!!!!
If a circle has a diameter of 3 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.
Answer:
C≈9.42cm
Step-by-step explanation:
This is the correct answer for your question
Answer:
3.71
Step-by-step explanation:
Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 lb, what percentage of women have weights that are within those limits
The percentage of women with weights that are within the limits is:
60.93%
What percentage of women have weights that are within those limits?Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:
z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74
z-score for upper limit = (217 - 168.7) / 48.8 = 0.99
Next, we can use a z-table to find the corresponding probabilities for these z-scores:
Probability for lower limit = 0.2296
Probability for upper limit = 0.8389
Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093
Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.
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if you have a fraction with an exponent do you distribute the exponent to the denominator and the numerator
Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).
For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply
16/81.
1. Start with the expression
(2/3)^4
2. Distribute the exponent of 4 to the numerator and denominator, resulting in
(2^4)/(3^4)
3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)
= (2*2*2*2)/(3*3*3*3)
4. Simplify the expression to 16/81
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Help what is eqation for this.
Answer:
y=-x+10
Step-by-step explanation:
The formula is y=mx+b, where m is the slope and b is the y-intercept. To solve plugin the values for the corresponding variables. It has a slope of -1 and a y-intercept of 10.
Oh there is a free grid sheet that you can put there
Step-by-step explanation:
Search it up and the website will appear where it will give you pretty much all of the information about it
A trail mix recipe calls for 3 cups of raisins and 4 cups of peanuts. Mitt made trail mix for a party and used 5 cups of raisins and 6 cups of peanuts. Did he use the correct ratio of raisins to peanuts?
Answer: no
Step-by-step explanation:
Recipe calls for a 3:4 ratio of raisins to peanuts
If his intention was to make a 1.5x recipe, he should have used 6 cups peanuts and 4-1/2 cups raisins (not 5!) to make the recipe in the correct ratio.
Simplify the following fractions.
Please Slove this 2 question
Answer:
b)14/3 or 4 2/3 C) 256/15 or 14 1/15
Step-by-step explanation:
In the second fraction, the "of" means to multiply
Answer:
#b
\( \displaystyle{ \pmb{ \pink{3 \frac{1}{5} \times 3 \frac{1}{2} \div 2 \frac{2}{5} }}}\)
\(\frak{SOLUTION:}\)
\(\displaystyle \frak{Here,}\)
\(\displaystyle{3 \frac{1}{5} \times 3 \frac{1}{2} \div 2 \frac{2}{5} }\)
Convert mixed fractions into improper fractions:\( = \displaystyle{ \frac{16}{5} \times \frac{7}{2} \div \frac{12}{5} }\)
\(=\displaystyle{ \frac{16}{5} \times \frac{7}{2} \times \frac{5}{12} \frak{(Performing division)} }\)
\(\displaystyle{ = \frac{ \cancel{16} \: {}^{2} \times 7 \times \cancel5}{ \cancel5 \times \cancel 2 \times 12} }\)
\(\displaystyle{ = \frac{8 \times 7}{12} }\)
\( =\displaystyle{} \frac{56}{12} \)
\(\displaystyle{ = \frac{ \cancel2 \times \cancel2 \times 2 \times 7}{ \cancel2 \times \cancel 2 \times 3} }\)
\(\displaystyle{ = \frac{14}{3} \frak {\: or} \: 4 \frac{2}{3} } \)
#c
\(\displaystyle{\pmb{ \pink{2 \frac{2}{3} \div \frac{1}{2} \: of \: 3 \frac{1}{5} }}}\)
\(\displaystyle{ \frak{SOLUTION:}}\)
\(\displaystyle \frak{Here,}\)
\( \displaystyle{2 \frac{2}{3} \div \frac{1}{2} \: of \: 3 \frac{1}{5} }\)
\(\displaystyle{ = \frac{8}{3} \div \left( \frac{1}{2} \times \frac{16}{5} \right)\frak{(Performing "of")}}\)
\( = \displaystyle{ \frac{8}{3} \div \left( \frac{1 \times \cancel{16} \: {}^{8} }{ \cancel2 \times 5} \right) }\)
\(\displaystyle{ = \frac{8}{3} \div \frac{8}{5} }\)
\(\displaystyle{ = \frac{8}{3} \times \frac{5}{8} \frak{(Performing \: division)} }\)
\(\displaystyle{ = \frac{ \cancel8}{3} \times \frac{5}{ \cancel8} }\)
\( = \displaystyle{ \frac{5}{3} \frak{ \: or \: }1 \frac{2}{3} }\)
Answered by :
\(\frak{\pink{seolleaphrodite}}\)
Jackson’s mother buys 4 packs of hamburger meat.Each pack contains 4/6 of a pound of meat.How much total meat did she buy?
Answer:
8/3 total or 2 2/3
Step-by-step explanation:
4 x 4/6 is the same thing as...
4/1 x 4/6
Multiply straight across...
16/6
Simplify...
8/3 total or 2 2/3
:)
OPERATION OF INTEGERS
ADDITION SUBTRACTION
1. 85 + (-96) = _____ 1. -7 – 4 = _____
2. 80 + 57 = _____ 2. 3 – (-2) = _____
3. 86 + (-38) = _____ 3. 2 – 9 = _____
4. (-41) + 22 = _____ 4. -8 – (-1) = _____
5. -18 + (-45) = _____ 5. -7 – (-1) = _____
MULTIPLICATION DIVISION
1. (-10)(11) = _____ 1. (-48) ÷ (6) = _____
2. 7(-12) = _____ 2. (-10) ÷ (-2) = _____
3. (-3)(-8) = _____ 3. (42) ÷ (-7) = _____
4. -8(-8) = _____ 4. -16 ÷ (-8) = _____
5. (-10)(-7)(-4) = _____ 5. 625 ÷ (+5) ÷ (-25) = _____
STATISTICS
When you write questions for a survey, it is important to be sure that the questions are not biased. That is, the questions should not assume anything or influence the answers. The following two questionnaires are designed to find out what kind of books your classmates like and what they like to do in the summer. The first questionnaire uses biased questions. The second questionnaire uses questions that are not biased.
Survey I
A. What mystery novel is your favorite?
B. What TV programs do you like to watch in the summer?
Survey 2
A. What kind of books do you like to read?
B. What do you like to do in the summer?
Check It Out
1. Why is A in Survey 1 biased?
2. Why is B in Survey 2 better than B in Survey 1?
3. Write a question that asks the same thing as the following question but is not biased: Are you an interesting person who reads a lot of books?
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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plssssssssssssssssssssssssssssssssssssssssssssssssss help I have to do this in 10m if not I will get 0 and fail my 8th-grade plssssssssssssssssss i will make it Brainliest plssss help
Step-by-step explanation:
plsssssssssssssssssssssssssssssssssssssssssssssssssssssssdssssssssssssssssssssssssssssssssssssssssss do it don't be lazy.
The coordinates of the equation are (-2, -7), (-1, -5), (0, -3), (1, -1) and (2, 1)
What are coordinates?The value of x and y in the given equation or in the graph is together represented by (x, y) and called coordinates.
Given is an equation, y = 2x-3
And we have x values = -2, -1, 0, 1 and 2, To find the corresponding value of y, we will use one by one the values of x in the equations,
When, x = -2,
y = -2(2) - 3
y = -7
(-2, -7)
When x = -1
y = 2(-1) - 3
y = -5
(-1, -5)
When x = 0
y = 2(0) - 3
y = -3
(0, -3)
When x = 1
y = 2(1)-3
y = -1
(1, -1)
When x = 2
y = 2(2) - 3
y = 1
(2, 1)
Hence, the value of y are -7, -5, -3, -1 and 1
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Please help
What value of b makes the trinomial below a perfect square?
X^2-bx+16
Answer:
D) 8Step-by-step explanation:
Given trinomial:
x² - bx + 16It has two perfect squares and a variable with negative coefficient.
It can be representing a:
(m - n)² = m² - 2mn + n²If we substitute m with x and n with 4, we'll get 2mn = 2*x*4 = 8x.
This gives us b = 8
(x - 4)² = x² - 8x + 16A pizza parlor charges $9.25 for a large pizza, plus $0.80 for each additional topping. Which equation correctly reflects the relationship between the number of toppings and the total cost of a large pizza?
y = 9.25x + 80
y = 80x + 9.25
y = 9.25x + 0.8
y = 0.8x + 9.25
Answer:
c because you dont need the extra zero on the 8
What would the 10th case look like?
The sequence of the number of circles indicates that for the 10th case, the number of circles are; 111 circles on the lower left and 111 circles on the top right
Please find attached a drawing of the pattern for the 10th case, created with MS Word
What is a sequence?A sequence is an orderly arrangement of values or objects following a specified pattern.
The first pattern indicates that the number of circles in the first column on the left are 2. The number of circles located in the second row from the left side are 3
The second pattern indicates that the number of circles in the first column on the left are 3. The number of circles located in the second row from the left side are 4
The sequence of pattern in the nth case is therefore;
The number of circles in the first column on the left in the nth case are n + 1. The number of circles located in the second row from the left side are n + 2, and the number of squares circles between the column on the left and the row of circles on the top are n each, which indicates;
The number of circles in the first column on the left in the 10th case are 10 + 1 = 11. The number of circles located in the second row from the left side are 10 + 2 = 12
The dimensions of the square of circles to the left of the first column and above which the horizontal row of circles at the top are located are each 10 units wide and 10 units in height
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