Answers
Step-by-step explanation:
a triangular number n is the sum of all natural numbers <= n.
t1 = 1
t2 = 1+2 = 3
t3 = 1+2+3 = 6
t4 = 1+2+3+4 = 10
...
so,
tn = tn-1 + n
47.
1×8 + 1 = 9 is a square number.
3×8 + 1 = 25 is a square number
6×8 + 1 = 49 is a square number
10×8 + 1 = 81 is a square number
48.
1/3 = 0 remainder 1
3/3 = 1 remainder 0
6/3 = 2 remainder 0
10/3 = 3 remainder 1
15/3 = 5 remainder 0
21/3 = 7 remainder 0
28/3 = 9 remainder 1
so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...
49.
1/4 = 0 remainder 1
4/4 = 1 remainder 0
9/4 = 2 remainder 1
16/4 = 4 remainder 0
25/4 = 6 remainder 1
36/4 = 9 remainder 0
49/4 = 12 remainder 1
so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...
50.
polygonal numbers is the real name for this.
the formula for dimensions = 5 is
(3n² − n)/2
for dimensions = 6 it is
2n² - n
so, dimensions=5 (and therefore dividing also by 5) we get the remainders
1/5 = 0 remainder 1
5/5 = 1 remainder 0
12/5 = 2 remainder 2
22/5 = 4 remainder 2
35/5 = 7 remainder 0
51/5 = 10 remainder 1
70/5 = 14 remainder 0
92/5 = 18 remainder 2
117/5 = 23 remainder 2
145/5 = 29 remainder 0
here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...
dimensions=6 (and therefore dividing also by 6) we get the remainders
1/6 = 0 remainder 1
6/6 = 1 remainder 0
15/6 = 2 remainder 3
28/6 = 4 remainder 4
45/6 = 7 remainder 3
66/6 = 11 remainder 0
91/6 = 15 remainder 1
120/6 = 20 remainder 0
153/6 = 25 remainder 3
190/6 = 31 remainder 4
231/6 = 38 remainder 3
276/6 = 46 remainder 0
325/6 = 54 remainder 1
here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...
Related Questions
What is the range of the function on the graph
all real numbers
all real numbers less than or equal to 1
all real numbers less than or equal to 3
all real numbers less than or equal to 0
Marks and con
Save and Exit
Det
Submit
Answers
Answer:
where is the graph
Step-by-step explanation:
Solve the system y = -x + 7 and y = 0.5(x - 3)2
Answers
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
How is making a perpendicular bisector different to making an angle bisector
Answers
Answer and Step-by-step explanation:
When making a perpendicular line, you take 2 points on a straight line.
- You put the compass on the two points, making marks above and below to be able to draw the line.
When making an angle bisector line, you use the angle and 2 points to make a straight line that will bisect the angle.
- You put the compass on the angle, making an arc from the two lines that join to make the angle. Then, you put your compass on where the arc meets the lines, and make a mark, which you then draw a line through.
#teamtrees #PAW (Plant and Water)
A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.
Answers
Answer:
The student took 28 classes
Step-by-step explanation:
What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.
What is 7b+3-4b=3-3b+12
Answers
Answer:
b=2
Step-by-step explanation:
Sienna bought vegetables to make a large pot of vegetable soup. She bought 5.35
pounds of potatoes, 3.8 pounds of carrots, and 2 pounds of celery. What is the total
weight, in pounds, of the vegetables?
A. 9.17
B. 9.35
C. 11
D. 11.15
Answers
Write f(x) = 2x2 – 44x + 185 in vertex form.
To write f(x) = 2x2 – 44x + 185, factor out
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2(x2 – 22x + 121) + 185 – 242
The function written in vertex form is f(x) =
(x –
)2 +
.
Answers
Answer:
Step-by-step explanation:
[tex]f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)[/tex]
Answer:
f(x) = 2(x - 11)² - 57
Step-by-step explanation:
Given
f(x) = 2x² - 44x + 185 ( factor out 2 from the first two terms )
f(x) = 2(x² - 22x) + 185
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 22x
f(x) = 2(x² + 2(- 11)x + 121 - 121 ) + 185
= 2(x - 11)² + 2(- 121) + 185
= 2(x - 11)² - 242 + 185
f(x) = 2(x - 11)² - 57 ← in vertex form
If x=2 and y = -5 find the value of 4x² + 3y² stosib wollen nieu
Answers
[tex]4.{2}^{2} + 3.{ - 5}^{2} \\ \\ 8 + ( - 10) \\ \\ - 2[/tex]
So the answer is -2Hope it help youAnswer:
-59
Step-by-step explanation:
you plug 2 and -5 into the equation and then solve from there
There are 21 apples,28 pears and 49 oranges. These are to be arranged in heaps containing the same number of fruits. Find the greatest number of fruits possible to keep in each heap. How many heaps are formed by this arrangement?
Answers
98/49=2
2 heaps can be formed.
Each would have 49 fruit.
Answer:
greatest no. of fruits possible to keep in each heap is 7
no. of heaps is 14
Step-by-step explanation:
21 apples
28 pears
49 oranges.
[tex]28 \div 21[/tex]quotient will be 1 and 7 remainder
[tex]21 \div 7[/tex]
quotient will be 3 and 0 remainder
[tex]49 \div 7[/tex]
quotient will be 7 and 0 remainder
hence, the greatest number of fruits is 7
Now,no. of heaps formed to keep fruits
Apple = 21
Pear = 28
Orange =49
Now, 21+28+49 = 98
Then, one heap can store can 7 fruits
Then,let the no. of heaps be x
x= 98÷7
x=14
Hence, no. of heaps = 14
What percentage of households in the survey have four or more televisions?
Answers
Answer:
2.5% ?
Step-by-step explanation:
.025 as percentage is 2.5%
The actual distance between A and B is 960 metres.
a) Work out the scale on the map. Give your answer in the form 1:n
b) Work out the actual distance between A and C in kilometres. Your final line must say, AC = ... km
Answers
Answer:
Step-by-step explanation:
a. 960 / 4 = 240 for 1 grid
1/2 cm = 24000
1 : 48000
b. A to C
AC² = 3² + 6²
AC² = 9 + 36
AC²= 432 + 1728
AC² = 2160
AC = √2160 km
Need some help with this please
Answers
4.5 * 9.05
PLZ HELP !!!!!
Answers
Answer:
40.725
do you need an explanation?
Question is in picture
Answers
Answer:
the last one
Step-by-step explanation:
D
Question 1
5 pts
What number should be added to -28 to make the sum 0? (5 points)
28
-28
27
0
Answers
-7x-3x+2=-8x-8 solve the equation for the variable show work
Answers
Answer:
sorry man
Step-by-step explanation:
iguess dhejwjsjsj
There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?
Answers
Answer:
(2,800/1,500) * 100 = 187%
Step-by-step explanation:
Find the perimeter. Simplify your answer.
60'
90-8
4c+6
c-7
Answers
6c + (c - 7) + (9c - 8) + (4c + 6) =
= 6c + c - 7 + 9c - 8 + 4c + 6 =
= 6c + c + 9c + 4c - 7 - 8 + 6 = 20c - 9
Jane is solving the equasion -2x + 4 = 18. She tells her partner that they should add two to both sides first since that is the inverse of -2. Did Jane start this equation correctly? Explain your reasoning
Answers
Answer:
No
Step-by-step explanation:
Given
- 2x + 4 = 18
note the inverse of - 2 is - [tex]\frac{1}{2}[/tex] not - 2
However , the first step is to isolate the term in x by subtracting 4 from both sides.
- 2x = 18 - 4 = 14 ( divide both sides by - 2 )
x = - 7
Helppppppppppppppppppppp!
Answers
Answer:
x = 11
Step-by-step explanation:
if we need to find the value of x then we need to
5x + 10 = 65 ( Vertically opposite angles are same )
5x = 65 -10
5x = 55
x = 55/5
x = 11
Answer:
x=11
Step-by-step explanation:
5x+10=65
5x=65-10
5x=55
5x÷5=55÷5
x=11
-1/2 (-3y + 10)
Please, I need help on this one.
Answers
Answer:
[tex] - \frac{1}{2} ( - 3y + 10) \\ \\ = \frac{3}{2} y - \frac{10}{2} \\ \\ = { \boxed{ \boxed{ \frac{3}{2} y - 5}}}[/tex]
Solve 4 [5 (12+3)-2]-7 PLSSS HELP MEEE
Answers
Answer:
285
Step-by-step explanation:
4(5x15-2)-7
4(75-2)-7
4x73-7
292-7
285
2x^2(6x^3-3x+1) need help
Answers
Answer:
12x^5-6x^3+2x^2
Step-by-step explanation:
Use 1/2 of preparation now. In 24 hours use the remaining amount of preparation there is 8 ounces of preparation in the bottle. How much will you use for each use?
Answers
Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.
Answers
Answer:
154 2/3 m²
Step-by-step explanation:
14 1/2 x 10 2/3
First, make the mixed numbers into improper fractions:
29/2 x 32/3
Simlify by cross cancelling if you can:
29/1 x 16/3
Then, multiply:
29/1 x 16/3 = 29 x 16/1 x 3 = 464/3
Finally, turn the new improper fraction into a simplified mixed number:
464/3 = 154 2/3
The area is 154 2/3 m²
-3(w+4)+8(w-6)=1/2(18-20)
Answers
Answer:
w= 59/5 or 11.8
Step-by-step explanation:
-3(w+4)+8(w-6)=1/2(18-20)
-3w-12+8w-48=9-10
5w-60=-1
5w=-1+60
5w=59
w=59/5
Which of these is an incorrect expression of a rational number?
A
−42−6
B
1−19
C
0−27
D
−120
Answers
Answer:
I believe it to be D
Step-by-step explanation:
because thats the only one different out of those four.
Answer:
the answer is -120
Step-by-step explanation:
During a 12-hour period, the
temperature dropped 48º.
How many degrees did the
temperature drop each hour?
Answers
Answer:
4 degrees every hour
Step-by-step explanation:
Since it was 48 degrees over a total of 12 hours we can do:
48 / 12 = 4 degrees.
It may be presented as -4 degrees since it is dropping in tempature therefore making it negative.
From 1985 through 1995, the yearly gross farrm revenue (in millions) in the United States can be modeled by the function R(t)=-t^2+7t+159 and the yearly farm cost (in millions) in the United States can be modeled by the function c(t)=t^2+131 where t is the number of years since 1985. Write a new function, P(t), that models the yearly profit after 1985
Answers
The profit function is simply the difference between the revenue function and the cost function. The profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]
Given that:
[tex]R(t) = t^2 + 7t + 159[/tex]
[tex]c(t) = t^2 + 131[/tex]
The profit function P(t) is calculated as follows:
[tex]P(t) = R(t) - c(t)[/tex]
So, we have:
[tex]P(t) = t^2 + 7t + 159 - (t^2 + 131)[/tex]
Open brackets
[tex]P(t) = t^2 + 7t + 159 - t^2 - 131[/tex]
Collect like terms
[tex]P(t) = t^2- t^2 + 7t + 159 - 131[/tex]
[tex]P(t) = 7t + 28[/tex]
Hence, the profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]
Read more about profit functions at:
https://brainly.com/question/11334756
5.346 - 2.289 = ?
SHOW WORK
WILL GIVE BRAINLIEST PLEASE
Answers
Answer:
7.635
Step-by-step explanation:
1 1
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+ |2| . |2| |8| |9|
--------------------------------------------------------
|7| . |6| |3|
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