In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.
This is a mathematical notation to consistently represent data of a certain set, with numbers or other symbols.In the numbering system that is implemented in India to write numerals. We utilize ten symbols to symbolize the numbers in the Indian Number System.In the Indian system, the next ten powers are known as one, ten, hundred, lakh, ten lakh, crore, ten crores,... etc.Given:
27,974
[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]
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What is the equation of a line perpendicular to y = -3x + 4 that passes through the point (-1, 6)?
Answer:
Equation is 3y = x + 19
Step-by-step explanation:
General equation:
[tex]y = mx + c[/tex]
For slope, m:
[tex]m_{1} \times m_{2} = - 1[/tex]
but m1 is -3:
[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]
For y-intercept, c:
[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]
equation:
[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]
Find the slope of the line graphed below
Answer:
-4/3
Step-by-step explanation:
To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/
simplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]
Given f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).
Step-by-step explanation:
all steps are in the picture above.
Note:if you have any question let me know about.thanks
9514 1404 393
Answer:
g(f(x)) = √((x²+5)/(x²+4))
Step-by-step explanation:
[tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]
I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...
[tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]
The difference of 23 and 6 multiplied by 2
Answer:
23-6=17
17x2=34
Step-by-step explanation:
Please don't report this! I'm sorry if its wrong
I need to write an expression to represent the volume of this shape
Answer:
v = 3.14x²y
Step-by-step explanation:
volume cylinder = πr²h
r = 2x ÷ 2 = x
h = y
Answer:
It is 3.14x²y
Step-by-step explanation:
formular:
[tex]{ \bf{V = \pi {r}^{2} h}}[/tex]
r is radius, r = 2x/2 = x
h is height, h = y
[tex]{ \sf{V = (3.14) \times ( {x}^{2} ) \times y}} \\ V = 3.14 {x}^{2} y[/tex]
Show work and Evaluate 3/4 + 2/5
Answer:
23/20
Step-by-step explanation:
Find the common denominator of the 2 fractions (It's 20):
3/4 + 2/5
Multiply both numerator and denominator by 5 for the first fraction and multiply by 4 for the second fraction:
15/20 + 8/20
Add the fractions together:
23/20
Point A and Point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement about point B is true?
a. It is located at -25 and is to the right of point A on the number line.
b. It is located at -15 and is to right of point A on the number line
c, It is located at -25 and is to the left of point A on the number line.
Answer:
so, choose c.
Step-by-step explanation:
[tex] - 20 - 5 = - 25[/tex]
{Please see the figure on the picture}
Multiply -7/-6 x 7 x 1/3 write in simplest form
Step-by-step explanation:
Multiply -7/-6 x 7 x 1/3 write in simplest form
12. In the toy factory where you work, you inspect each toy for
defects as it comes off the assembly line and report the
defect ratio at the end of each day. On Monday, you
inspected 938 toys and recorded 67 of them as defective.
What is the ratio of defective toys to the total number of
toys that you inspected?
F.
938
H.
J.
K.
1: 67
1:14
1:13
13:1
14:1
Use the equation v=s+19 to find the value of v when s=2.
V=
Answer:
21
Step-by-step explanation:
s=2
so, v=2+19
19+2=21
Which of these is equal to .0625 ??
a. 4 ^ -15
b. 1 / 4^15
c. 16 ^ -2
d. (4 ^ -1) ^ 2
Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)
2. A boy scored the given marks in various class-tests during a term, (each test being marked out of 20): 15, 17, 16, 16, 10, 12, 14, 16, 19, 12, 16. (a) What is his modal marks?
Answer:
16 is the number occurring most often in the list.
Step-by-step explanation:
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-
[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-
Refer to the attchment
C:-
[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-
EH>OH
E:-
[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitsI’m crying rn I need helppp (number 4 ignore the rest) -1/2 to be left alone like without the x and what happened to the 5/2??
Step-by-step explanation:
The parallel line will have an equation of the form
[tex]y = -\dfrac{1}{2}x + b[/tex]
We solve for b by plugging in the values of the point (3, -4):
[tex]-4 = -\dfrac{1}{2}(3) + b[/tex]
[tex]\Rightarrow -8 = -3 + 2b[/tex]
Solving for b, we get
[tex]b = -\dfrac{5}{2}[/tex]
Therefore, the equation of the line parallel to 2x + 4y = 10 is
[tex]y = -\dfrac{1}{2}x -\dfrac{5}{2}[/tex]
In standard form we can write
[tex]x + 2y = -5[/tex] or [tex]2x + 4y = -10[/tex]
Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.
Answer:
k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Using the discriminant
Δ = b² - 4ac
For a repeated real solution then
b² - 4ac = 0
Given
16x² - [tex]\frac{8}{3}[/tex] x + k = 0
with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k
(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0
[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )
- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )
k = [tex]\frac{1}{9}[/tex]
The number of sweets s that each friend gets is the
number of sweets in a box n divided by the number of
friends f the sweets are shared between. Enter a formula
for the number of sweets each friend gets and enter the
number of sweets each friend gets if there are 54 sweets
and 6 friends.
Answer: 9 sweets/friend
Step-by-step explanation:
s = Number of sweets per friend
n = Number of sweets in a box = 54
f = Number of friends = 6
formula for the number of sweets each friend gets is as follows:
n/f = s
Therefore substituting in formula for n=54 and f=6
54/6 = 9 sweets per friend
Shane has nine notes in his wallet, three are $50 and the rest are $20 notes. Write the ratio of $50 notes to $20 dollar notes.
Answer:
50x20=1000
Step-by-step explanation:
Find all points on the x-axis that are 14 units from the point (5, -7)
Answer:
can you submit the coordinet plane?
Step-by-step explanation:
Add or Subtract: show your work 30 POINTS
Step-by-step explanation:
hopefully it is clear and understandable
:)
Which best describes the relationship between the line that passes through the points (–9, –7) and (–12, –2) and the line that passes through the points (1, 9) and (6, 6)?
9514 1404 393
Answer:
The lines are neither parallel nor perpendicular. They intersect in the 2nd quadrant.
Step-by-step explanation:
You have provided no descriptions, so we have shown the lines to let you draw your own conclusion regarding the description that best fits.
Prove: 3 log3 81= 4 log4 64
Step-by-step explanation:
3log3 3^4=4log4 4^33*4 log3 3=4*3 log4 412 log3 3= 12 log4 412*1=12*1 (loga a=1)12=12Answer:
h
Step-by-step explanation:
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
Use the distributive property to simplify each expression 10(9-1)
Answer:
see below
Step-by-step explanation:
10(9-1)
Distribute
10 * 9 - 10 *1
90 - 10
80
Answer: 80
Step-by-step explanation:
10(9-1) = 90 - 10 = 80
Decmial: 0.77 thanks!
Answer:
The digit in the tenths place is 10 times as much as the value of the digit in the hundredths place.
Step-by-step Explanation:
0.07 multiplied by 10 gives you 0.7
8/6-5/4=
Please help quick
Answer:
1/12
Step-by-step explanation:
write 1000 as a product using 10 as a factor
Answer:
-
Step-by-step explanation:
Answer:
The answer is right here for you!
Here it is:10x100
Which group contains an equivalent percent, decimal, and fraction?
F. 60%, 0.06, 3/5
G. 75%, 7.5, 3/4
H. 90%, 0.9, 9/10
J. 78.5, 0.785, 7/8
Answer: H. 90%, 0.9, 9/10
Step-by-step explanation: they are all equal
determine the area and perimeter
Answer:
is there a specific equation to use?
Step-by-step explanation:
probability question