Two numbers whose product is 1 are called multiplicative inverses or reciprocals.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
There are two numbers whose product is 1.
Let the two numbers are a and b.
Since, the product of numbers is 1, implies that,
Both the numbers are multiplicative inverse or reciprocal to each others,
Implies that,
a = 1/b
So, the numbers are in the form of 1/b and b.
Hence, both the numbers are reciprocals to each other.
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Two numbers whose product is 1 are called the multiplicative inverse of a number or its reciprocal.
Lets the two number are x and [tex]\dfrac{1}{x}[/tex]. Then [tex]\dfrac{1}{x}[/tex] Is a multiplicative inverse or reciprocal of x. Since when we multiply both the numbers we get their product is 1.
Hence, for any non-zero number "x" its multiplicative inverse is denoted as [tex]\dfrac{1}{x}[/tex].
We can say, if two numbers x and [tex]\dfrac{1}{x}[/tex] Satisfies the equation [tex]x\times\dfrac{1}{x}=1[/tex] Then they are reciprocals or multiplicative inverses of each others.
0 has no reciprocal, since when any number is multiplied with 0 it will always result in 0 not 1.
Hence, the answer is: Two numbers whose product is 1 are called or reciprocals.
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Select the best estimate for the diameter of a dinner plate. A. 25 mm B. 25 cm C. 2,500 mm D. 25 m
Answer:
the best estimate is 25 cm
Step-by-step explanation:
the best estimate is 25 cm
because A would be too small
C too long
D way too much
Answer:
C ) 25 is your answer
Step-by-step explanation:
the other answers are unreasonable and don't make
sense so this is your best estimate.
Help please only if u know wat u doing
Answer:
the first one is 6^10
the 2nd one is also 6^10
Step-by-step explanation:
Answer:
[tex]6^{10}[/tex]
Step-by-step explanation:
Any number to the power of zero becomes 1. Any number times 1 is itself.
PLEASE ASAP FOR BRAINLIEST
Answer:
27°
Step-by-step explanation:
Angle ABC is 90°
ACB is 63 because it is vertically opposite angle GCJ
Angle CAB is 27° (90-63)
angle x is 27° (vertically opposite CAB)
30 points A repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
Rational Number
Step-by-step explanation:
A repeating decimal added to a fraction will result in a rational number.
I need help ASAP snsbdbdbdbdbbffb
Answer:
a) 2 -2 -4 -4 -2 2 8
b) graph B
c) x = -2.55 or x=1.55
Step-by-step explanation:
a) just fill in the x values
b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)
c) estimate where graph B passes through the x axis.
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
Find the area of the circle R=6ft
Answer:
Area is 113.097
Step-by-step explanation:
Answer:
113.10 ft²
Step-by-step explanation:
Area of the circle is equal to πr².
Where r is the radius. The radius of the circle is 6 feet.
π(6)²
36π = 113.097336
The area of the circle is 113.10 ft² approximately.
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
find CD
CD = [? ]
please help??
Answer:
7
Step-by-step explanation:
CD is congruent to BC by CPCTC.
There are two consecutive even numbers such
that twice the first is 46 more than the second.
Form an equation and solve to find the two
numbers.
Step-by-step explanation:
Let the numbers be x and y
2 consecutive even nos.
therefore y = x+2
twice of the first (2x) is 46 more than y
2x = y+46
Solving both the equations
x - y + 2 = 0
(-)2x - y - 46 = 0
____________
-x + 0 + 48 = 0
____________
x = 48
y = x+2
= 48 +2
= 50
Therefore the 2 nos. are 48 and 50
Hope this answers helps you
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn's orbital period is 29.5 years, what is its distance from the sun?
Answer:
a for saturn is 9.55 astronomical units
Step-by-step explanation:
Here, we are interested in calculating the distance from the sun.
Mathematically, from the question;
P = a^3/2
29.5 = a^3/2
a = 29.5^2/3
a = [3√(29.5)]^2
a = 9.55 in astronomical units
Answer:
a) 9.5 AU
Step-by-step explanation:
on edge
could any one explain this problem?
Answer:
C
Step-by-step explanation:
Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values
[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )
3BC = 40.5 ( divide both sides by 3 )
BC = 13,5 cm → C
At work Bret must check and record the internal temperature of the freezer on an hourly basis when working properly the temperature should remain constant over time.What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly
Answer:
The slope of the line will be ZERO.
From the question given above, we are told that when the freezer is working perfectly that the temperature will remain constant over time. This means that if the graph of temperature and time is drawn, the slope of the graph will be constant from one point of the graph to the other, which means that the values will cancel each other out and will be zero.
Stats question two way tables
Answer:
Step-by-step explanation:
Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.
Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.
Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.
find the height of a pyramid. please help me i’ll give u brainleist
Answer:
h = 20 cm
Step-by-step explanation:
Base Area = 18 cm * 5 cm = 90 cm²
Volume = 600 cm³
Arranging the formula for h:
h = [tex]\frac{3(Volume)}{base Area}[/tex]
h = [tex]\frac{3(600)}{90}[/tex]
h = [tex]\frac{1800}{90}[/tex]
h = 20 cm
Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2
Answer:
A.
Step-by-step explanation:
Diameter = 4.4 cm
Radius = 2.2 cm
Now
Area of the circle = πr²
= (3.14)(2.2)²
= (3.14)(4.84)
= 15.1976 cm²
Answer:
A.
Step-by-step explanation:
D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.
The formula for Area:
A=pir^2.
A=(3.14)(2.2)^2
A=(3.14)(4.84)
A=15.1976
A=15.1976, which is identical to option A.
Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smallest exterior angle, in degrees?
Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:
[tex]mP = mQ + mR[/tex]
[tex]mP + mQ + mR = 180\°[/tex]
Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:
[tex]mP + mP = 180\°[/tex]
[tex]mP = 90\°[/tex]
The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:
[tex]exteriorP = 180\° - mP[/tex]
[tex]exteriorP = 90\°[/tex]
What is the value of x in the equation 8x - 2y = 48, when y = 4?
O 6
07
O 14
O 48
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the value of y into the equation :
[tex]8x - 2y = 48[/tex]
[tex]let \: y = 4[/tex]
[tex]8x - 2(4) = 48[/tex]
[tex]8x - 8 = 48[/tex]
[tex]8x = 48 + 8[/tex]
[tex]8x = 56[/tex]
[tex]x = 56 \div 8[/tex]
[tex]x = 7[/tex]
The value of x in the equation 8x - 2y = 48 is 7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
8x - 2y = 48
Now, for y=4 put the value of y as 4 in given equation we get
8x- 2(4)= 48
8x -8= 48
8x = 48+ 8
8x = 56
x= 56/8
x= 7
Thus, the value of x is 7.
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Find the sum 3/5+1/9
hope it helps you tell me in the comment box
(•‿•)
a parking garage charges $2.50 base free plus an hourly rate of $4.00. If you hve most $12.50 how many parking you can
Answer: 2.5 hours or 2 hr and 30 min
Step-by-step explanation:
We can set up an equation to find how many hours you can park.
2.5+4x=12.5
The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.
Since we have our equation, we can solve for x.
4x=10
x=2.5
You can park for 2.5 hours, or 2 hours and 30 min.
ALL THE POINTS!! (01.01 LC) What is the rational number equivalent to 3 point 12 with a bar over 12? (1 point) 3 and 4 over 33 3 and 8 over 33 3 and 10 over 39 3 and 5 over 39
Answer:
A is the answer
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
How many squares are in the image
Answer:
32
Step-by-step explanation:
k
Answer:
hope this helps, take care, stay safe, keep smiling
Step-by-step explanation:
i see 40 squares
PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
Answer:
a = 94
b = -66√3
Step-by-step explanation:
Given z = [tex]-1-i\sqrt{3}[/tex]
[tex]z^{6}=(z^{3})^{2}[/tex]
[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]
[tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]
[tex]=[(1+i\sqrt{3})^3]^2[/tex]
[tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]
= [1 + 3i² + 3i√3 + 9i²]²
= [1 - 3 + 3i√3 - 9]²
= [-11 + 3i√3]²
= (11)² -2(3i√3)(11) + (3i√3)²
= 121 - 66i√3 + 27i²
= 121 - 66i√3 - 27
= (94 - 66i√3)
Comparing it with (a + bi),
a = 94 and b = -66√3
if a circle has r3 what is the circumference
Find the equation of the line with slope 6 passing through (3,20) y=mx+b
Answer:
y = 6x + 2
Step-by-step explanation:
Step 1: Write known variables
y = 6x + b
Step 2: Solve for b
20 = 6(3) + b
20 = 18 + b
b = 2
Step 3: Rewrite
y = 6x + 2
find the solution of pair of equation y=0 and y= -6
Answer:
Step-by-step explanation:
there is no soltion because it is not intersects
Answer:
No solution as it will not intersect.
Which of the following have 3 significant figures? Check all that apply
Answer:
B.
D.
Step-by-step explanation:
M is the midpoint of AB¯. Find the coordinates of B given A(–2, 1) and M(4, 3).
Answer:
B (10, 5)
Step-by-step explanation:
We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
Step 1: Solve x
4 = (-2 + x)/2
8 = -2 + x
x = 10
Step 2: Solve y
3 = (1 + y)/2
6 = 1 + y
y = 5
Put it in coordinates and we have our final answer!
Answer:
B(10,5)
Step-by-step explanation:
You already have A and M so you just find the difference and add it to M. That is my way of getting the answer. I am taking the Honors Geometry class in 6th grade.
What is the solution to the system of the equation.Please help me.
Answer:
x=3, y=2
Step-by-step explanation:
since y =2x-4, we name it as equation I
and the second system as equation 2.
we substitute equation 1 into 2 and we have;
4x+3(2x-4)=18
4x+6x-12=18
10x=18+12
x= 30÷10
x=3.
now, substituting x=3 into the y equation , we have
y= 2(3)-4
y=2.
therefore, x=3, y=2.
...if I was to plot this I would use the equation intercepts. Some people might use the slope whichever is okay for you. but I like to use the intercepts...(x,y)
so first, to find the intercept of equation 1;
we have,
y=2x-4
we set x= 0 and we get .y=2(0)-4=-4, we have (0,-4)...x=0, y=-4 for intercept
we set y to 0 to get the intercept for x...
we have, 0=2x-4=2..we get (2,0)...x=2, y=0 for the second intercept.
we do same for the second equation...
4x+3y=18...
so when doing this set x to 0 to get y intercept that is (0,y) and set y= 0 to get the x intercept that is (x,0)... then you can plot the points on your graph...
the intercept of the two system after you've plotted it on your graph should give you the solution we have that is x=3, y=2.
I need help :( please
Answer:
I think it is D
Step-by-step explanation:
Its saying that f of x is four times x. So if x was one it could be four. But if x was greater than one it would be higher than one. Therefore, I think that the answer should be all real numbers greater than or equal to four.
Hope this helped!!! Let me know if I was correct. Haven't done this in years.
Answer:
d
Step-by-step explanation: