Write an expression for the number of small squares in pattern n
Please properly answer.
Answers
Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
Related Questions
Which graph represents the function f(x)=5lnx?
Answers
Answer:
The first graph (top-left) is the correct graph.
Please, also check the attached graph.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\:lnx[/tex]
First, we should determine the x and y-intercepts.
Determining the y-intercept:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
Thus,
substitute x = 0 in the function
y = lnx
y = ln(0)
y = undefined
Therefore, at x = 0, the value of y becomes undefined.
Hence, None is the y-intercept.
Determining the x-intercept:
We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.
Thus,
substitute y = 0 in the function
0 = ln(x)
Flipe the equation
ln(x) = 0
Solve algorithm
ln(x) = 0
Take exponent of both sides
[tex]\:e^{ln\left(x\right)}=e^0[/tex]
[tex]x\:=e^0[/tex]
[tex]x = 1[/tex]
Thus, the point of x-intercept is: (0, 1)
Conclusion:
Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.
It is clear from the graph that:
at x = 0, y is heading towards -ve infinity.
at y = 0, x = 1
Therefore, the first graph (top-left) is the correct graph.
Please, also check the attached graph.
Napoleon went on a bus trip traveling at a speed of 55 miles per hour for 4 hours which equation will help you find the distance he traveled
Answers
Answer:
220
Step-by-step explanation:
Easy!
Multiply 55 by 4!
2
55
x 4
--------
220
five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!
pls help math!!!!!!!!!!!!
Answers
Answer:
A) 1000/1 = x/2500 is the answer
The weights of 1000 onions from a certain farm follow a normal distribution with a mean of 150 g and a standard deviation 15 g from the data we can conclude that about blank onions way more than 165 g in about blank onions way less than 135 g
Answers
Answer:
About 159 weigh more than 165 g and about 159 g weigh less Than 135 g
Step-by-step explanation:
Given that :
Mean, μ = 150
Standard deviation, σ = 15
Using the Zscore formula :
Zscore = (x - μ) / σ
For x > 165
P(x > 165)
Z = (165 - 150) / 15
Z = 15 /15 = 1
P(Z > 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
For x < 135
P(x < 135)
Z = (135 - 150) / 15
Z = - 15 /15 = - 1
P(Z > - 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
Answer:
160 and 160
Step-by-step explanation:
each section is 16% of the whole.
I'm sorry. Looks like I couldn't keep my promise." Tatsumi
"I suppose it is time to die. Tatsumi, I wish that you had been beside me." Esdeath
"Well, well... I said this about the emperor, too, but dealing with fools is tiring.
Answers
Answer:
Can you please write a question
Step-by-step explanation:
Answer:
can you write a question and also can i pls get a brainliest it'll make my day a whole lot better bc i have had a terrible day today :/ have a blessed day :)
Step-by-step explanation:
What is the factored form of 27a^6+ 8g12?
• (302 +29^)(302-60g+294)
(302 +294)(904-6d9* +49)
(30* + 294)(90* +60+94 +499)
(30 129°)(3d - Bag + 20°)
Answers
Answer:
(3 a ^2 + 2 g^4 ) ( 9 a ^4 − 6 a ^2 g ^4 + 4 g ^8 )
Step-by-step explanation:
(3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ ) is the factored form of the expression 27a⁶+ 8g¹²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 27a⁶+ 8g¹²
In the expression the variables are a and g
The operators used in the expression are plus.
We need to find the factored form of the given expression.
When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form
(3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ )
Hence, (3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ ) is the factored form of the expression 27a⁶+ 8g¹²
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Tate woks at an ice cream stand. Every customer can choose one of two toppings-sprinkles or chocolate chips.
He recorded the age group and the chosen topping for a sample of 120 customers. Here are the results:
Age group Sprinkles Chocolate chips Neither Total
Children
Adults
Total
27
13
40
38
22
60
7
13
20
72
48
120
Of the adults in the sample, what fraction ordered sprinkles?
Answers
Of the adults in the sample collected by Tate at the ice cream stand, the fraction that ordered sprinkles is 13/48.
What is the fraction of adults that ordered sprinkles?
A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example is 1/2.
The fraction of adults that ordered sprinkles = number of adults that ordered sprinkles / total number of adults
= 13/48
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Answer:
16
Step-by-step explanation:
khan
The circle below is centered at the point (3, 1) and has a radius of length 2.
What is its equation?
10
A. (x-1)2 + (y - 3)2 = 4
B. (x + 1)2 + (y + 3)2 = 2
C. (x+3)2 + (x + 1)2 = 4
O D. (x-3)2 + (x - 1)2 = 2²
Answers
Answer:
D
Step-by-step explanation:
Just took the Quiz on A p e x
In ΔDEF, d = 36 inches, e = 97 inches and ∠F=166°. Find the length of f, to the nearest inch.
Answers
Answer is 11.9ft.
Law of cosines:
In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]
Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.
In this case we can write the law of cosines as,
[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]
f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)
f2 = 27.04 + 46.24 - 66.56 cos (166)
f2 = 73.28 - 66.56 cos 166
f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.
f ≈ 11.9 ft.
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Answer:
132
Step-by-step explanation:
S.A.S.→Law of Cosines
From reference sheet
[tex]a^2=b^2+c^2-2bc[/tex] cos A
plug in values
[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]
square and find cosine
[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]
Multiply
[tex]f^2=1296+9409+6776.54535[/tex]
Add
[tex]f^2=17481.54535[/tex]
Square root and round
[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132
Farmer Joe Crazyhair has 12.4 acres of land. He uses 4.52 acres of land for growing fruits and 6.15 acres of land for growing vegetables. How many acres are not being used by Mr. Crazyhair? :)
Answers
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.
Answers
Answer:
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Step-by-step explanation:
Step(i):-
Let 'x' be the length of the rectangle
Given that the width is 3 feet shorter than the length
The width of the rectangle = x -3
Area of the rectangle = length × width
Step(ii):-
Area of the rectangle = length × width
= x ( x-3)
Given that the area of the rectangle = 70 square feet
x ( x-3) = 70
⇒ x² - 3x - 70 =0
⇒ x² - 10 x + 7 x - 70 =0
⇒ x (x -10) +7( x-10) =0
⇒ ( x+7) ( x-10) = 0
⇒ x =-7 and x=10
Final answer:-
we choose x=10
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
determine the domain and the range of this relation {(-3,4),(-2,4),(-1,-1),(3,-1
Answers
Answer:
Step-by-step explanation:
D:(-1,3)
R:(-1,4)
The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.
Answers
Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]
[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]
[tex] Percentage = \frac {23}{173} * 100 [/tex]
[tex] Percentage = 0.1330 * 100 [/tex]
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.
please simplify- e⁵×e⁴
Answers
Answer:
e3x
Step-by-step explanation:
A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month
Answers
Answer:
27
Step-by-step explanation:
9 crew members complete a job in 3 months
Number of crew members is inversely proportion to construction time :
Let :
Crew members = m
Construction time = t
m α 1 /t
m = k/t
m = 9 ; t = 3
9 = k /3
k = 27
If t = 1 (one month)
m =?
m = k/t
m = 27 / 1
Hence;
m = 27 * 1
m = 27 workers
What do you call segments, rays, or lines that are added to a given diagram?
Answers
Answer:
auxiliary lines
Step-by-step explanation:
Which expression is equivalent to b ● 56?
Answers
Answer:
56b
Step-by-step explanation:
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answers
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
What is the constant of proportionality of y=9x so what does k=
Answers
A square is shown below. What is the perimeter of the square? A. 23 units B. 32 units C. 46 units D. 92 units
Answers
Answer:
32unitsStep-by-step explanation:
Find the diagram of the square attached
Perimeter of a square = 4L
L is the side length of the square
Given
Assume the side length is 8units
L = 8units
Perimeter of the square = 4(8)
Perimeter of the square = 32units
Hence the perimeter of the square is 32units
Answer: D, 92.
Step-by-step explanation: I've done the lesson
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.
What is the volume of the pyramid in cubic centimeters?
Answers
Answer: 13500 cubic centimeters
Step-by-step explanation: lwh/3=volume
What is the answer to this
Answers
Answer:
C
Step-by-step explanation:
Because I know
What is the distance if each path in miles?
Answers
Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second
1
and third set of trees yielded 3 gallons each.
Part A: How many gallons of syrup did she collect in all?
Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How
much syrup did she use for cooking?
Answers
Answer:
Part A - 8
Part B - 7
Step-by-step explanation:
Part A
She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.
Part B
She used seven gallon of syrup for cooking.
She is left with one gallon syrup only out of total eight gallon syrup
calculate a²b+a³b/a²b²
Answers
Step-by-step explanation:
a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.
1 answer
Help ASAP PLEASE!!!
Answers
Answer:
3rd option
Step-by-step explanation:
Three friends ate lunch at a restaurant. Their friend Reggie arrived late and only ordered a glass of juice. The total bill was $39.50 before taxes. Reggie paid $2 for his juice, and the others divided the remaining amount equally. How much did each of Reggie's three friends pay?
Answers
Jim and Joyce are saving for their annual vacation. They are going to Hawaii and their plane Tickets costs $2418 total. They have saved 1804 so far. If they are able to save $55 per week. how many weeks of saving will it take before they have saved at least S2418?
Answers
Answer:
12 Weeks.
Step-by-step explanation:
2418 minus 1804 is 614.
614 divided by 55 is 11.1, and you can't have 11.1, so you round to 12.
So 12 is therefore your answer.
614/ 55 = 11.163....
They will need to save for 12 more weeks because if they save for 11, they will only have 2408
Hope this helps! Any questions let me know :)
is -5 greater than -8
Answers
Answer:
yes
Step-by-step explanation:
negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)
Answer:
Yes
Step-by-step explanation:
-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.
Find the indicated side of the triangle
Answers
Answer:
If you're trying to figure out what x would be, I'm pretty sure the answer is 6 because it's equal with the other side labeled 6 and there are 2 45° angles
Step-by-step explanation:
Sorry if this isn't the answer you're looking for :/