The value of the given question by using the above pattern is (i)127, (ii)397, (iii)1141, (iv)7651.
What do you mean by pattern?In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. Any of the senses can directly witness patterns, which are types of patterns made of geometric shapes and frequently repeated like wallpaper designs. On the other hand, abstract patterns in science, math, or language might only be visible through analysis. In actuality, direct observation entails recognizing visual patterns, which are common in both nature and art. Natural visual patterns are frequently chaotic, hardly ever precisely repeat, and frequently contain fractals. Spirals, meanders, waves, foams, tilings, fissures, and patterns produced by rotational and reflective symmetries are examples of natural patterns.
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What number is halfway between 73.7 and 73.71?
Answer:
73.39
Step-by-step explanation:
Answer:
73.705
Step-by-step explanation:
73.700
73.705
73.710
Divide 0.01 by 2 and u would get 0.005
11/12 - 3/4 = ?
1/2 + 4/9 =?
Please answer in simplest form
11/12 - 3/4 = 1/6
1/2 + 4/9 = 17/18
How calculate the expression in it's simplest form ?11/12 - 3/4
= 11-9/12
= 2/12
= 1/6
1/2 + 4/9
= 9+8/18
= 17/18
Hence the solution to the expression in it's simplest form is 1/6 and 17/18
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Answer:
1/6and 17/18
Step-by-step explanation:
11/12-3/4
find the l.c.m
11/12-3/4=11-9/12=2/12=1/6
1/2+4/9=9+8/18=17/18
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Through how many radians will the hour hand on a clock rotate in (a) 23 hr? In (b) 6 hr? (a) In 23 hr, the hour hand on the clock will rotate radians
The radians will the hour hand on a clock rotation for 23hr and 6hr is 23/6π and π.
We have to find the radians will the hour hand on a clock rotation for 23hr and 6hr.
One revolution is done by fully around the circle with the radius. After one full rotation, the radius subtends an angle of 2π radians at the circle's center. To illustrate the conversion of 1 radian to degrees, we will use the knowledge that 2π radians = 360 degrees.
2π radians = 360°
Divide the above equation by 2,
⇒ π radians = 180°
Divide the above equation by π,
⇒ 1 radian = 180°/π
⇒ 1 radian = 57.296°
Only 12 hours are represented by one full rotation of the hour hand. A whole rotation equals 360°, or two radians.
11 hours rotation equals to 330°, or 11π/6 radians.
23 hours=12+11
=360°+330° (or) 2π+11π/6
=690° (or) 23π/6
Now, 6 hours=12/2
=360°/2 (or) 2π/2
=180° (or) π.
Therefore, the radians will the hour hand on a clock rotation for 23hr and 6hr is 23/6π and π.
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how to solve this problem
Step-by-step explanation:
...........................
find the value of x if pq is equal to rs, pq= 9x-7, and rs=29
Based on the information given, the value of x is 4
What is a line segment?A line segment can be defined as the part of a straight line bounded by two distinct end points, and also contains every point on the line that is between its endpoints.
From the information given, we have PQ and RS are on the the same line with points Q and R as the line segments
We have that;
PQ = 9x - 7RS = 299x - 7 = 29
collect like terms
9x = 29 + 7
9x = 36
Make 'x' the subject
x = 36/ 9
x = 4
Thus, the value of x is 4
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Write inequalities to describe the region between the yz-plane and the vertical plane x = 9.
the region of space between the parallel planes x = 0
and x = 5
0 < x < 5
What is vertical plane?A direction or plane traveling past a specific place is considered to be vertical in astronomy, geography, and other relevant fields and settings if it contains the local gravity direction at that location. On the other hand, if a direction or plane is perpendicular to the vertical direction, it is said to be horizontal. The y-axis in the Cartesian coordinate system is an example of something that can generally be drawn from up to down (or down to up). The word vertical is derived from the late Latin verticalis, which is from the same root as vertex and means "highest point" or more literally the "turning point" such as in a whirlpool.
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What type of question is this?
Lilly needs to ship 16 yo-yos, 24 teddy bears, and 8 tops. She can pack only one type of toy in each box, and he must pack the same number of toys in each box. What is the greatest number of toys Lilly can pack in each box?
Group of answer choices
-GCF
-LCM
The type of question is GCF .
What is the greatest number of toys she can pack?The factor of a number is a number that can divide another number perfectly without leaving any remainder. Highest common factor is the highest factor that is common to two or more numbers
Factors of 8, 16 and 24 = 1, 2, 4, 8,
Highest common factor = 8
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How much more can paula shovel in 1 minute than melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute
Paula shovels 3 square feet more than Melinda in 1 minute.
We are given two equations relating the distance covered by each while they shovel. Assuming the x to be representative of Melinda's speed and y to be representative of Paula's speed. Making at least one coefficient same for both the equation.
Equation 1 : 30x + 30y = 450
Equation 2 : 20x + 25y = 345
Dividing equation 1 and equation 2 by 5.
Equation 3 : 6x + 6y = 90
Equation 4 : 4x + 5y = 69
Multiplying equation 3 with 4 and equation 4 with 6.
Equation 5 : 24x + 24y = 360
Equation 6 : 24x + 30y = 414
Subtracting Equation 5 from Equation 6.
24x + 30y = 414
- 24x + 24y = 360
6y = 54
y = 9
Keep the value of y in equation 3
6x + 6×9 = 90
6x + 54 = 90
6x = 90 - 54
6x = 36
x = 6
So, Melinda's speed is 6 square feet per minute and Paula's speed is 9 square feet per minute.
Difference between speed = 9 - 6
Difference = 3 square feet per minute
Hence, Paula's speed is 3 square feet per minute more than Melinda.
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The complete question is -
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.
30x + 30y = 45020x + 25y = 345
How much more can Paula shovel in 1 minute than Melinda?
3 square feet per minute
6 square feet per minute
9 square feet per minute
15 square feet per minute
Answer:
A: 3 square feet per minute
Step-by-step explanation:
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.
How do we use reasoning to determine a conclusion?In the question, it is stated that if Elan stays up late, he will be tired the next day.
However, staying up late is not the only thing that could make Elan get tired.
This implies that there are so many other things than can make Elan get tired such as working for long hours.
It is possible that Elan was tired because Elans worked long hours.
By implication, the conclusion is invalid.
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What is the average accerlation during the time interval 0 seconds to 10 seconds?
The average acceleration during the time interval 0 seconds to 10 seconds is [tex]\frac{V_{1}-V_{2} }{10}[/tex] unit per second per second.
As per the question statement, we are supposed to find out the average acceleration during the time interval 0 seconds to 10 seconds. But before solving this question we should be aware about what actually average acceleration is.
Average acceleration : [tex]\frac{change in velocity}{total time interval}[/tex]
Here in the question, we are not given information about velocity of the object hence we assume the initial and final velocities of the object to be [tex]V_{1}[/tex] and [tex]V_{2}[/tex] respectively, hence
Change in velocity = [tex]V_{1}-V_{2}[/tex]
Total time interval = [tex](10 - 0)sec=10sec[/tex]
Therefore by definition of average acceleration we get
[tex]A_{avg}[/tex][tex]= \frac{V_{1}-V_{2} }{10}[/tex] unit per sec per second
Average acceleration: The rate at which the velocity changes is referred to as average acceleration. To determine the average acceleration of something, we divide the change in velocity by the amount of time that has passed.To learn more about acceleration and kinetics, click on the link given below:
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Solve the equation.
- 2(2x - 4) = 4x
(Simplify your answer.)
Answer:
x=1
Step-by-step explanation:
-2(2x-4)=4x
Distributive property.
-4x+8=4x
+4x +4x
8x=8
/8 /8
x=1
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✓ A G.P has 6 terms. If the 3rd 4th term and are 28 and -56 respectively. Find (a) the common ratio (b) the first term (c) the sum of the G.P.
[tex]r = \frac{u_{4}}{u_{3}} = \frac{ - 56}{28} = - 2[/tex]
(b)[tex]u_{n} = u_{1} \times r {}^{n - 1} \\ ie \colon \: u_{4} = u_{1} \times r {}^{4 - 1} \\ \: \: \: - 56 = u_{1} \times ( - 2) {}^{3} \\ u_{1} = \frac{ - 56}{ - 8} = 7[/tex]
(c)[tex]S_{n} = ( \frac{1 - r {}^{n} }{1 - r} ) \: (u_{1}) \\ S_{6}=( \frac{1 - ( - 2) {}^{6} }{1 - ( - 2)} ) \: (7) \\ S_{6}= - 147[/tex]
a. The common ratio is -2.
b. The first term is 7
c. The sum of the GP is -147
What is the common ratio?
(a) To find the common ratio (r), we can use the formula for the nth term of a geometric progression (G.P):
[tex]A_n = A_1 * r^(^n^-^1^)[/tex],
where Aₙ is the nth term, A₁ is the first term, r is the common ratio, and n is the term number.
Given that the 3rd term (A₃) is 28 and the 4th term (A₄) is -56, we can set up two equations using the formula above:
[tex]28 = A_1 * r^(^3^-^1^)[/tex], (Equation 1)
[tex]-56 = A_1 * r^(^4^-^1^)[/tex]. (Equation 2)
Dividing Equation 2 by Equation 1, we get:
[tex]-56/28 = (A_1 * r^(^4^-^1^)^) / (A_1 * r^(^3^-^1^))\\-2 = r.[/tex]
Therefore, the common ratio (r) is -2.
(b) To find the first term (A1), we can substitute the known values into one of the equations. Let's use Equation 1:
[tex]28 = A_1 * (-2)^(^3^-^1^)\\28 = A_1 * (-2)^2\\28 = A_1 * 4\\A_1 = 7[/tex]
Therefore, the first term (A₁) is 7.
(c) To find the sum of the geometric progression, we can use the formula for the sum of the first n terms of a geometric progression:
[tex]S_n = (A_1 * (1 - r^n)) / (1 - r)[/tex],
where Sₙ is the sum of the first n terms.
Given that there are 6 terms (n = 6), A₁ = 7, and r = -2, we can calculate the sum (S₆):
[tex]S_6 = (7 * (1 - (-2)^6)) / (1 - (-2)).[/tex]
Simplifying:
S₆= (7 * (1 - 64)) / (1 + 2),
S₆ = (7 * (-63)) / 3,
S₆ = -147.
Therefore, the sum of the geometric progression is -147.
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Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $17.50
B. $8.20
• C. $63.00
D. $68.40
One number is 5 less than twice another
number. If the sum of the numbers is 7, find
both numbers
Answer:
4 and 3
Step-by-step explanation:
You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.
With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:
7+0=7
6+1=7
5+2=7
4+3=7
3+4=7
2+5=7
1+6=7
0+7=7
From there, plug in one number for x and see if y matches the expected number. For example:
2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:
2(4)-5=3
If K is the midpoint of JL, JK = 8x +11 and KL = 14x - 1, find JL
which of the expressions are equivalent to the one blown? check all that apply (4•1)-6
The expressions that are equivalent to the given expression are 4 - 6 and -6 + 4
How to determine the expressions that are equivalent to the given expression?The expression is given as:
(4 * 1) - 6
Evaluate the product of 4 and 1
So, we have:
(4 * 1) - 6 = 4 - 6
By the subtractive property of and equation, we have:
(4 * 1) - 6 = -6 + 4
Hence, the expressions that are equivalent to the given expression are 4 - 6 and -6 + 4
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Find the distance between each pair of points.
(0,-5) and (18,-10)
Answer:
18.7 units (3 s.f.)
Step-by-step explanation:
The distance between two points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.
[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
Substitute the given points into the formula:
Distance between (0, -5) and (18, -10)
= [tex]\sqrt{[-10 -(-5)]^{2} + (18-0)^{2} }[/tex]
= [tex]\sqrt{(-10+5)^2+18^2}[/tex]
= [tex]\sqrt{(-5)^2+18^2}[/tex]
= [tex]\sqrt{349}[/tex]
= 18.7 units (3 s.f.)
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question 29(multiple choice worth 1 points) (01.07 mc) multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). express the answer in scientific notation. 9.6 ⋅ 1021 9.6 ⋅ 1022 96 ⋅ 1021 96 ⋅ 1022
The multiplication of [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]in scientific notation is [tex]9.6 \times {10}^{21} [/tex]
How to find the answer in scientific notation?Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.
given that [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]
Now, find the answer in scientific notation
[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]
combine the all the like terms
[tex](2.4 \times 4)( {10}^{14} \times {10}^{7} )[/tex]
According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.
[tex](9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} [/tex]
Hence,the multiplication of[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex] in scientific notation is [tex]9.6 \times {10}^{21} [/tex]
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El colegio compró 234 libros a €14 cada uno cuánto costaron en total
The total cost of the books will be €3276.
How to calculate the cost?It should be noted the school bought 234 books at €14 each.
Therefore, the total cost of the books will be:
= Price × Total books
= €14 × 234
= €3276
Therefore, the total cost of the books will be €3276.
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Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
Step-by-step explanation:
Not sure..
Convert the fraction or mixed number to a percent.
6 3/5
Answer:
660%
Step-by-step explanation:
6 x 100= 600%
3/5 = 0.6 × 100 = 60%
600% + 60% = 660%
What is 6.33 time as 6
Answer: 37.98 (I assume you mean times)
Step-by-step explanation:
Calculator :)
Find the general solution of the given second-order differential equation. 3y'' 2y' y = 0
The general solution of the given differential equation are: [tex]e^{\frac{-x}{3}}[/tex] [A cos(x√ 2/3) + B sin(x√ 2/3) i ]
What are differential equations?A differential equation is an equation that connects the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the two.Now,
Given: 3y'' + 2y' + y = 0
To find: General solution of the given differential equation.
Finding:
=> [tex]3\frac{d^{2}y}{dx^{2}} + 2 \frac{dy}{dx} + y = 0[/tex]
The characteristic equation of this equation is:
=> 3m² + 2m + 1 = 0
=> m = [tex]\frac{(-2)± \sqrt{4 - 4(3)(1)}}{2(3)}[/tex]
=> m = [tex]\frac{(-2)±\sqrt{4-12}}{6}[/tex]
=> m = [tex]\frac{(-2)±2\sqrt{2}i}{6}[/tex]
=> m = [tex]\frac{(-1)±\sqrt{2}i}{3}[/tex] = [tex]\frac{-1}{3}[/tex] ± [tex]\frac{\sqrt{2}}{3}[/tex]
Thus, For a = -1/3 and b = (√2)/3,
General solution of the differential equation => [tex]e^{\frac{-x}{3}}[/tex] [A cos(x√ 2/3) + B sin(x√ 2/3) i ]
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Can theses lengths form a right triangle (5,6,V30)
No these lengths does not form a right triangle
There is a property of triangles which says that some of two sides of the triangle should be more than the third side of the triangle
So first case 6,30,5
30+6 =36 which is more than 5
second case 5,30,6
5+30 =35 which is more than 6
third case 5,6,30
5+6 =11 which is not more than 30
as in third case the property is breached because sum of two sides of triangle is not more than third side so the figure cannot be a triangle .
And hence we cannot check whether it is a right angle triangle or not.
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On Friday nights, you enjoy staying at home and doing complex math problems. In 45 minutes, you can solve 9 math problems. How many problems can you solve in 210 minutes?
Answer:
42
Step-by-step explanation:
45 divided by 5 is 9.
210 divided by 5 is 42.
Hope It Helps
Sorry If I'm Wrong
write as a single equation, 2x + 3 / 3 + x - 4 / 4
we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.
We are given an expression:
( 2 x + 3 ) / 3 + ( x - 4 )/ 4
We need to simplify it and write it as an equation.
Taking the LCM, we get that:
4( 2 x + 3) + 3 (x - 4) / 12
simplifying brackets, we get that,
8 x + 12 + 3 x - 12 / 12
Combining the like terms, we get that:
8 x + 3 x / 12
11 x / 12
Therefore, we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.
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I really need some help
Answer:
a. zy = yz
Step-by-step explanation:
Commutative property of multiplication rule:
(a)(b) = (b)(a)
Nadir and Jennifer Salazar are moving into a new apartment with a
monthly rent of $1,058. They must pay a security deposit of $523 and a
pet deposit of $291. According to their lease, they must also pay the first
and last month's rent up front. What will be the total move-in cost for
the Salazar's new apartment?
Answer:
the answer is becareful
If the point (2,5) is on the graph of an equation,which statement must be true
Answer:
The correct answer is B)
Step-by-step explanation:
The values x = 2 and y = 5 make the equation true.
the reason for this is because ordered pairs are in the form (x,y), meaning for the point (2,5), the number 2 is an x-value and the number 5 is a y-value. so when you put these numbers into the equation, you should get a true statement both sides are equal to one another.
Answer:
Step-by-step explanation: the correct answer is B) x=2 and y=5 make the equation true.
Factor 6x + 36y using the greatest common factor
Answer:
6
Step-by-step explanation:
Answer:
6(x+6y)
Step-by-step explanation:
The greatest common factor is 6.
6x+36y=
=6(x+6y)
The expression with the GCF factored out is 6(x+6y)
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