Aryabhata, also called Aryabhata I or Aryabhata the Elder, (born 476, possibly Ashmaka or Kusumapura, India), astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Patalipurta (Patna), then the capital of the Gupta dynasty—where he composed at least two works, Aryabhatiya (c. 499) and the now lost Aryabhatasiddhanta.
Aryabhatasiddhanta circulated mainly in the northwest of India and, through the Sāsānian dynasty (224–651) of Iran, had a profound influence on the development of Islamic astronomy. Its contents are preserved to some extent in the works of Varahamihira (flourished c. 550), Bhaskara I (flourished c. 629), Brahmagupta (598–c. 665), and others. It is one of the earliest astronomical works to assign the start of each day to midnight.
Mark as brainlist ❤️❤️Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy. Following an introduction that contains astronomical tables and Aryabhata’s system of phonemic number notation in which numbers are represented by a consonant-vowel monosyllable, the work is divided into three sections: Ganita (“Mathematics”), Kala-kriya (“Time Calculations”), and Gola (“Sphere”).
Consider the function y = x2 – 2 – 6.
Drag a factor to each box to create a function that is equivalent to the given function and reveals its zeros
Answer: (x + 2) (x - 3)
Step-by-step explanation:
x^2 - x - 6
x^2 - 3x + 2x - 6
x(x - 3) + 2(x -3)
(x+2) (x-3)
In the figure below, m
Il n ánd p || q. Find the values of x and y.
Answer:
114 and 30Step-by-step explanation:
The angles with measure of 66 and x are consecutive interior angles and therefore supplementary:
x + 66 = 180x = 180 - 66x = 114The angles x and 4y - 6 are alternate interior angles and therefore congruent:
x = 4y - 6114 = 4y - 64y = 114 + 64y = 120y = 120/4y = 30Which of the graphs below shows a function? A,C or D?
Answer:
C
Step-by-step explanation:
Use the vertical line rule to see if a graph is a function
Answer:C
Step-by-step explanation: no x values repeat. It passes the vertical line test
Can someone help me find the common factors or factor completely x⁴+10x²+25
Answer:
[tex](x^{2} +5)^{2}[/tex]
Input the number of days in a month
Answer:
30
Step-by-step explanation:
The area of a circle is 18.1 km^2. Find the radius of the circle in kilometers
rounded to the nearest tenth. Use 3.14 for PI, and enter the number only.
Answer:2.4
Step-by-step explanation:
area = pi* r^2
18.1 /3.14=r^2
5.76 =r^2
Now root square
Answer:
2.4 km
Step-by-step explanation:
πr²=18.1 km²
18.1/3.14=5.76km²
576/100
24/10=2.4km
THE PERSON WHO GETS THIS ANSWER RIGHT WILL GET 50+ POINTS
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Answer:
6x +5y = 45x +y = 8x = 5 . . . jars of jamy = 3 . . . packages of bread mixStep-by-step explanation:
The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).
6x +5y = 45 . . . . . . total cost
x + y = 8 . . . . . . . . . number of items
__
These equations can be solved a number of ways. Substituting for y, we get ...
y = 8 -x
6x +5(8 -x) = 45
x +40 = 45
x = 5 . . . . . . . . . jam
y = 8 -5 = 3 . . . mix
There are 5 jars of jam and 3 packages of bread mix in the gift basket.
40) How old am I if 400 reduced by 3 times
my age is 214?
Answer:
You are 62 years old
Step-by-step explanation:
Let's set up an equation:
400 - 3a = 214 ( let a be your age)
Add 3a to each side:
400 = 214 + 3a
Subtract 214 from each side:
186 = 3a
Divide each side by 3:
62 = a
if a scientist gets unexpected results during the first trail of an experiment what should he or she do next
If they get unexpected results they could note what they could've done wrong or what they could change in a next trail of experiments. Or look back and see what different happened to they could've hypothesized. There could be many different courses on what to do next.
Help me with this please
Answer:
ANSWER:D
Step-by-step explanation:
Sana maka help
2. Find the value of "a" given the vertex and a second point when the vertex is (3,-1) and the graph passes through (5, 2)
Answer:
a = 3/4
Step-by-step explanation:
Given the vertex, (3, -1) and the other point, (5, 2):
We could substitute these values into the vertex form of the quadratic equation:
y = a(x - h)² + k
Where:
(h, k ) = vertex
a = determines whether the graph opens up or down, and makes the graph wider or narrower.
If a is positive, the graph opens up; if a is negative, the graph opens down.If a is between 0 and 1, the graph is wider than the parent function.If a > 1, the graph is narrower than the parent function.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Substitute the vertex, (3, -1) and point (5, 2) into the vertex form to solve for "a":
y = a(x - h)² + k
2 = a(5 - 3)² - 1
2 = a(2)² - 1
2 = a(4) - 1
Add 1 to both sides:
2 + 1 = a(4) - 1 + 1
3 = 4a
Divide both sides by 4 to solve for a:
3/4 = 4a/4
3/4 = a
Therefore, the value of a = 3/4. Since the value of a is positive, and that it is between 0 and 1, then it means that the graph opens upward and is wider than the parent function.
The quadratic equation in vertex form is: y = 3/4(x - 3)² - 1, where a = 3/4.
Please mark my answers as the Brainliest if you find this explanation helpful :)
Can someone please factor this polynomial:
y = -x^4-15x^3-75x^2-125x
Answer:
(−x)(x+5)(x+5)(x+5)
Step-by-step explanation:
question 5 answer with steps
PLZZZ HELPPP REALLLY QUICKKK PLZZZ I NEED HELPPPPP ASAPPPP
Answer:
52
Step-by-step explanation:
38+14=52
Hope that helps
pls HELP QUICKLY!! WILL GIVE BRAINILEST!
What is the relationship between the lines with the following equations?
2x+8y=16
y=4x+7
The lines are perpendicular.
The lines are parallel.
The lines are neither parallel nor perpendicular.
The lines are the same
Answer:
the lines are perpendicular
Step-by-step explanation:
you can simplify 2x+8y=16 so thats how i got the lines are perpendicular
determine if equation has one solution ,no solution ,or an infinite number of solutions justify the answer
-4 ( x + 2 ) = - 4x -5
Answer:
no solution
Step-by-step explanation:
- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4
- 4x - 8 = - 4x - 5 ( add 8 to both sides )
- 4x = - 4x + 3 ( add 4x to both sides )
0 = 3 ← False statement
This indicates the equation has no solution
find the equation of the linethe line passes through the points (5,2) and (-4,-4)
Answer:
[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]
Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope
[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]
substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b
[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]
substitute the slope and the value for b into the equation to get the answer
[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]
what is 2×1+5÷2 in decimals
Answer:4.5
Step-by-step explanation:(2x1)+(5/2) which equals 4.5
write an equation in slope intercept from for line that passes through(2,3) and (-5,5)
hope you like my answer its -8
Trigonometric identities: Performance task
#1
[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]
[tex]\\ \sf\longmapsto 1-cos^2x[/tex]
[tex]\\ \sf\longmapsto sin^2x[/tex]
#2
[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]
[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
The simplified form of each of th given Trigonometric expressions is given below.
What are trigonometric expression?The expressions involving trigonometric functions are called trigonometric expressions.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the trigonometric expressions.
{1} -
{1 + cos(x)}{1 - cos(x)}
{1² - cos²(x)}
sin²x
{2} -
{1/cot²(x) - 1/cos²(x)}
{sin²(x)/cos²(x) - 1/cos²(x)}
{sin²(x) - 1}/{cos²(x)}
{- cos²(x)/cos²(x)}
- 1
{3} -
sec²(π/2 - x){sin²(x) - sin⁴(x)}
sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}
sin²(x) cos²(x) × 1/sin²(x)
cos²(x)
Therefore, the simplified form of each of th given Trigonometric expressions is given above.
To solve more questions on Trigonometric expressions, visit the link below -
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Kaj bought snacks for her team's practice. She bought a bag of chips for $2.44 and a
20-pack of juice bottles. The total cost before tax was $26.44. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs.
Answer:
j = $1.20
Step-by-step explanation:
26.44 (total cost) - 2.44 (cost of chips) = 24
$24 dollars (cost of pack of juice bottles) divided by 20 (number of juice bottles in the pack = 1.2
The required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.
She bought a bag of chips for $2.44 and a 20-pack of juice bottles.
The total cost before tax was $26.44.
To determine and solve an equation that can be used to determine j, how much each bottle of juice costs.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the cost of the bottle be x,
According to the question,
2.44 + 20x = 26.44
20x = 26.44 - 2.44
x = [24] / 20
x = $1.2
Thus, the required equation for the cost of 20 juice bottles is x = (26.44 - 2.44) / 20 and costs $1.2.
Learn more about arithmetic here:
brainly.com/question/14753192
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The tens digit of a certain number is 2 less than the units digit. The sum of the squares of the two digits is 34. Find the number.
Answer:
35 3x3=9 5x5=25 9+25=34
Step-by-step explanation:
Make this brainliest please and thank you
Answer:
53
Step-by-step explanation:
The sum of the squares of the digits is 34 -- they're likely 25 and 9, which means 5 and 3 for the numbers. The units is 2 less than the tens, so the only answer is 53.
the number are measurements of radius , diameter, ans circumference of circles A and B. Circle A is smaller than Circle B.
Which number belongs to which quantity? 2.5, 5, 7.6, 15.2, 15.7, 47.7
Step-by-step explanation:
a diameter is always twice the radius.
the only pairs I can see in the list, where one number is twice the other :
2.5 and 5
7.6 and 15.2
so,
2.5 is the radius of A
5 is the diameter of A
7.6 is the radius of B
15.2 is the diameter of B
15.7 is then the circumference of A (as the smaller of the remaining 2 numbers)
47.7 is the circumference of B
we can also check via the formula for circle circumference :
c = 2×pi×r
and yes, the rounded c for r=2.5 is 15.7, and for r=7.6 is 47.7
Write this number in
of word form:
205,028.5
Two hundered five thousand, twenty-eight and one half
1+1×2 và 1+4×5 và 4+5×6
[tex]1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34[/tex]
do exponential functions have horizontal asymptotes?
9514 1404 393
Answer:
yes
Step-by-step explanation:
The parent function e^x has a horizontal asymptote at y=0.
Evaluate the expression. 4−[(11+12(−2)÷6)+1] What is the value of the expression? Enter your answer in the box.
Answer:
-4
Step-by-step explanation:
Simplify: 1.4-1.5+ -3.4+1.8
What is the image point of (1,0)after a translation right 1 unit and up 4 units?
Answer:
(2, 4)
Hope this helps! Brainliest would be really appreciated!
2. Create a set of 5 positive numbers (repeats allowed)
that have a median of 10 and a mean of 7.