Answer:
Is the number rational or irrational?
30‾‾‾√
rational
irrational
Step-by-step explanation: help ;-;
Option (3) the product of two irrational numbers is a rational number is a correct option.
What is a rational number?"Rational numbers are numbers that can be expressed as a fraction or part of a whole number. It includes the integers, plus all fractions, or terminating decimals and repeating decimals".
What is an irrational number?"Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers".
For the given situation,
We need to analyze the all options.
Option 1:
The sum of a rational number and an irrational number is an irrational number.
Option 2:
The product of a rational number and an irrational number is an irrational number.
Option 3:
The product of two irrational numbers is a rational or an irrational number based on the numbers taken.
Option 4:
The sum of two irrational numbers is an irrational number.
Hence we can conclude option(3), the product of two irrational numbers is a rational number is a correct option.
Learn more about rational numbers here
https://brainly.com/question/24540810
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A box contains 65 balls numbered from 1 to 65. If 9 balls are drawn with replacement, what is the probability that at least two of them have the same number
Answer:
Probabilty= 7.66*10^-3
Step-by-step explanation:
A box contains 65 balls numbered from 1 to 65.
9 balls are drawn with replacement.
Probabilty of selecting a number = 1/65
Probabilty of selecting a number
= 0.0154
Probabilty of at least 2 numbers out of 9 selected to have Same number
Probabilty= 9C2(0.0154)^2(0.9846)^7
Probabilty= 7.66*10^-3
Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.
Answer:
8.9 is the answer i just took the test
9 + 8r = −7 − 4(−r + 3)
Answer:
r = -7
Step-by-step explanation:
Solve for r:
8 r + 9 = -4 (3 - r) - 7
-4 (3 - r) = 4 r - 12:
8 r + 9 = 4 r - 12 - 7
Grouping like terms, 4 r - 12 - 7 = 4 r + (-7 - 12):
8 r + 9 = 4 r + (-7 - 12)
-7 - 12 = -19:
8 r + 9 = 4 r + -19
Subtract 4 r from both sides:
(8 r - 4 r) + 9 = (4 r - 4 r) - 19
8 r - 4 r = 4 r:
4 r + 9 = (4 r - 4 r) - 19
4 r - 4 r = 0:
4 r + 9 = -19
Subtract 9 from both sides:
4 r + (9 - 9) = -9 - 19
9 - 9 = 0:
4 r = -9 - 19
-9 - 19 = -28:
4 r = -28
Divide both sides of 4 r = -28 by 4:
(4 r)/4 = (-28)/4
4/4 = 1:
r = (-28)/4
The gcd of -28 and 4 is 4, so (-28)/4 = (4 (-7))/(4×1) = 4/4×-7 = -7:
Answer: r = -7
Conjecture: How many solutions do x3 - 5x2 + 28 = 0 have? Find the real solution(s) of the equation. Then use polynomial long division to find the other solution(s).
Answer:
x = - 2 is confirmed to be the real solution of the equation.
Step-by-step explanation:
We are tasked with the following activities
Conjecture: How many solutions do [tex]x^3 - 5x^2 + 28 = 0[/tex] have?
Find the real solution(s) of the equation.
Then use polynomial long division to find the other solution(s).
To start with the how many solutions that [tex]x^3 - 5x^2 + 28 = 0[/tex] have
suppose that -2 happens to be a root of the equation, we can easily replace x = - 2 in the given equation. Then , we will have :
[tex](-2)^3 - 5(-2)^2 + 28 = 0[/tex]
[tex]-8 - 5\times 4 + 28 = 0[/tex]
-8 - 20 + 28 = 0
-28 - 28 = 0
0 = 0
The equation resulted to 0 = 0 when x = -2 , as such -2 happens to be one root of the equation
So , as x = - 2
x + 2 = 0
x = - 2 is confirmed to be the real solution of the equation.
A picture showing the polynomial long division method used for solving the polynomial equation and other solution(s) can be found in the attached file below.
Please help...............
Answer:
C' ( -10 , 4)
D' (-10 , 6)
E' (-8 , 6)
F' (-8 , 4)
In a two digit number, the tens digit is twice the ones digit.The difference of the ones digit and half the tens digit is 0
Answer:
C: infinitely many solutions
Step-by-step explanation:
Which two complex numbers when added together and written in standard form equal 10-3i?
Answer:
A -3 − 4i C 13 + i
Step-by-step explanation:
We add the real part and the imaginary part separately.
Adding A and C will give us 10 - 3i:
-3 - 4i + 13 + i
= -3 + 13 - 4i + i
= 10 - 3i.
NEED HELP QUICK! Points P, Q, and R are shown on the number line. What is the distance between point P and point R? A) 47 units B) 61 units C) 121 units D) 132 units ' The numberline is below.
Answer:
plz give hlamberttx the brainliest!
Step-by-step explanation:
he saved my grade and helped me sooo much with this question. he is 100% correct i got an 100 on my usa test prep
El recibo del servicio de celular del mes de abril facturó un monto de S/52,50 por un consumo de 69 minutos; y el del mes de mayo, facturó S/32 por un consumo de 28 minutos. El monto que cobran cada mes incluye un costo fijo por mantenimiento y un precio establecido por minuto de consumo. ¿Cuántos minutos se debería consumir como máximo para pagar menos de S/30 el siguiente mes?
Answer:
x = 24 minutos
Step-by-step explanation:
Llamaremos "y" el costo fijo mensual y "x" la cantidad de minutos consumidos al mes, según lo cual:
El enunciado del problema establece que la facturación en pesos es igual a un costo fijo y más el consumo en minutos del mes, entonces
En Abril 52,50 = y + b*x ⇒ 52,5 = y + 69*b
y en Mayo 32 = y + b*x ⇒ 32 = y + 28*b
Así obtuvimos un sistema de dos ecuaciones con dos incógnitas, que resolveremos y obtendremos los valores de b y de y
y = 52,50 - 69*b
32 = ( 52,50 - 69*b ) + 28*b
- 20,50 = - 41*b
b = 0,5
y y = 52,5 - 69*0,5
y = 18
Entonces la ecuación de facturación es :
F(x) = 18 + 0,5*x
Para pagar como máximo 30 pesos en el mes siguiente
F(x) = 30 = 18 + 0,5*x
30 - 18 = 0,5*x
x = 24 minutos
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 6.3kg : 4.5kg
Answer:
63/10 : 9/2
Step-by-step explanation:
6.3 is 6 and 3/10
we can turn that into an improper fraction so its 63/10
4.5 is 4 and 1/2
we can turn this into an improper fraction with is 9/2
so now its 63/10 : 9/2 as a ratio
Hope this helps. Good luck.
[tex] \frac{ \frac{19}{3}kg }{ \frac{9}{2}kg } [/tex]
WILL GIVE BRAINLIEST THANKS AND 5 STARS FOR CORRECT ANSWER Desmond ran a lemonade stand in front of his house for the fans walking to the football game. On the first Saturday, he sold 80 cups of lemonade. The second Saturday was cold and rainy so he sold only 70% of what he had sold the previous Saturday. How many cups did he sell on the second Saturday?
Answer:
56
Step-by-step explanation:
First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:
70% → 70.00 → 0.70 → 0.7
70% percent can be seen as 0.7. Multiply this by 80:
[tex]80*0.7=56[/tex]
So, 70% of 80 is 56. Desmond sold 56 cups on the second Saturday.
:Done
Will mark brainliest
Simplify the expression. : 5 + 4 x (8 - 6) square
Answer:
8x+5
Step-by-step explanation:
8-6=2
2× 4x= 8x
8x+5
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{21}}}}}[/tex]Step-by-step explanation:
Use PEMDAS rule :
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
Let's solve :
[tex] \sf{5 + 4 \times {(8 - 6)}^{2} }[/tex]
⇒[tex] \sf{5 + 4 \times {2}^{2} }[/tex]
⇒[tex] \sf{5 + 4 \times 4}[/tex]
⇒[tex] \sf{5 + 16}[/tex]
⇒[tex] \sf{21}[/tex]
Hope I helped!
Best regards!
pt 2 7-7 Please helppp If you guys want lol ill do 7 moreeee LOL
Answer:
c = 72
Step-by-step explanation:
8
x ___c__ = 9 x 8
8
c = 72
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: c = 72~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\frac{c}{8} = 9[/tex]
Multiply both sides by 8.
[tex]c = 9 \times 8[/tex]
Multiply 9 and 8 to get, you guessed it, 72!Several books are placed on a table. These books have a combined weight of 25 N and cover an area of 0.05 m2. How much pressure do the books exert on the table? The pressure the books apply to the table top is __ Pa. please need help!!
Answer:
500 pa
Step-by-step explanation:
[tex]Force = 25N\\Area = 0.05m^2\\\\Pressure = \frac{Force}{Area}\\ \\Pressure = \frac{25}{0.05}\\\\ Pressure = 500 Pascals[/tex]
DESPERATE! Please answer any of the questions :(( And explain bc im super confused
Answer:
Step-by-step explanation:
4. when bases are equal ,powers are also equal.
x+4=3x-1
3x-x=4+1
2x=5
x=5/2=2.5
John says 1/3 is smaller than 1/8 because 3 is less than 8. Jane
says 1/3 is greater than 1/8 because the pieces are bigger. Who is
right? How do you know?
Answer:
Jane is correct
Step-by-step explanation:
100 divide by 3 is 33.333 recurring
100 divided by 8 is 12.5
The present value of R8052.55 received in 5 years at 9% interest is
Answer:
The present value of a bond is calculated by discounting the bond's future cash payments by the current market interest rate. In other words, the present value of a bond is the total of: The present value of the semiannual interest payments, PLUS. The present value of the principal payment on the date the bond maturaes.Calculate the present value investment for a future value lump sum return, based on a constant interest rate per period and compounding. This is a special instance of a present value calculation where payments = 0. The present value is the total amount that a future amount of money is worth right now.Use the given confidence interval limits to find the point estimate and the margin of error E.
0.475
Answer:
The point estimate = 0.507
Margin error of a given confidence interval = 0.032
Step-by-step explanation:
The point estimate is calculated by using the sample statistics of a population.
Thus; point estimate can be expressed with the formula:
[tex]\overline x = \dfrac{\sum \limits ^n _{i=1} \ x _i}{n}[/tex]
Given that : 0.475 < p < 0.539
[tex]\overline x = \dfrac{0.475+0.539}{2}[/tex]
[tex]\overline x = \dfrac{1.014}{2}[/tex]
[tex]\overline x = 0.507[/tex]
The point estimate = 0.507
The margin of error which shows the percentage of points that the derived results would differ from that of the given population value can be calculated with the formula:
Margin error of a given confidence interval = [tex]\mathtt{\dfrac{upper \ confidence \ limit - lower \ confidence \ limit }{2}}[/tex]
Margin error of a given confidence interval = [tex]\dfrac{0.539-0.475}{2}[/tex]
Margin error of a given confidence interval = [tex]\dfrac{0.064}{2}[/tex]
Margin error of a given confidence interval = [tex]0.032[/tex]
9. Find the area of rectangle.
2x
A=
5x?
please help
Answer:
[tex] \boxed{\sf Area \ of \ rectangle = 10x^3} [/tex]
Given:
Length of rectangle = 5x²
Width of rectangle = 2x
To Find:
Area of rectangle
Step-by-step explanation:
[tex]\sf Area \ of \ rectangle = Length \times Width[/tex]
[tex] \sf = 5 {x}^{2} \times 2x[/tex]
[tex] \sf = 5 \times 2 {x}^{2 + 1} [/tex]
[tex] \sf = 5 \times 2 {x}^{3} [/tex]
[tex] \sf = 10 {x}^{3} [/tex]
Answer:
[tex]\huge\boxed{Area\ of\ Rectangle = 10x\³}[/tex]
Step-by-step explanation:
Area of Rectangle = Length * Width
Where Length = 2x and Width = 5x²
Area of Rectangle = (2x)(5x²)
Area of Rectangle = 10x³
i need help asap !!!!!!
Answer:
B. ZJ = 85
C. KH = 68
Step-by-step explanation:
Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.
Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ
Since HG = 136, KH = ½ of 136 = 68.
The two options that are true are:
B. ZJ = 85
C. KH = 68
Write all the steps plzzzzzz
Answer:
Step-by-step explanation:
See attachment
write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2
Answer:
The answer is
[tex]y + 9 = - 2(x - 10)[/tex]Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
y - y1 = m(x - x1)where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
[tex]y + 9 = - 2(x - 10) [/tex]Hope this helps you
Which symbols could be used to make the folllowing statement true -15 -19
Answer:
-15 > -19
Step-by-step explanation:
-15 > -19
-15 is closer to 0 than -19 so it is greater than
how many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45 , 4 are selected from a block of 57 and the others are selected form the remaining 69 countries
Answer:
The value is [tex]Z = 6.299*10^{16} \ ways[/tex]
Step-by-step explanation:
From the question we are told that
The number of countries is n = 12
Generally the number of way of selecting 3 from a block of 45
[tex]\left 45} \atop {}} \right.C _3 = \frac{ 45! }{ (45-3) ! 3!}[/tex]
[tex]\left 45} \atop {}} \right.C _3 = 14190[/tex]
Generally the number of way of selecting 4 from a block of 57
[tex]\left 57} \atop {}} \right.C _3 = \frac{ 57! }{ (57-4) ! 4!}[/tex]
[tex]\left 57} \atop {}} \right.C _3 = 395010[/tex]
Generally the number of way of selecting (12 - (4 + 3) = 5) from a block of 69
[tex]\left 69} \atop {}} \right.C _5 = \frac{ 69! }{ (69-5) ! 5!}[/tex]
[tex]\left 69} \atop {}} \right.C _3 = 11238513[/tex]
The ways of selecting 12 countries in the United Nations serve on a council is mathematically represented as
[tex]Z = 14190 * 395010* 11238513[/tex]
[tex]Z = 6.299*10^{16} \ ways[/tex]
the weight of earth is about 66 metric ton what is the standard form of 6,600,000,000,000,000,000,000, metric tone
What are two lines that lie within the same plane and never intersect.
Answer:
Step-by-step explanation:
Parallel lines
M^2 = 0.04 how do you solve this
Answer:
[tex]m = 0.2[/tex]
Step-by-step explanation:
To solve this equation we're basically trying to isolate m on one side.
The equation is [tex]m^2=0.04[/tex].
If we want to make it [tex]m=x[/tex], we have to find the square root of both sides, as the square root of something squared is just that something.
[tex]\sqrt{m^2} = \sqrt{0.04}[/tex]
To find the square root of 0.04, we need to think "what number multiplied by itself get us 0.04?"
This number is 0.2.
So:
[tex]m = 0.2[/tex]
Hope this helped!
Sean and Hannah are 540 inches apart and begin walking towards each other. Sean walks 2.6 times as fast as Hannah. Let x represent the distance Hannah has walked (in inches) and y represent the distance (in inches) between Hannah and Sean.
Answer:
Distance covered by Sean
= 540-x-y inches
Distance covered by Hannah =x
Step-by-step explanation:
Sean and Hannah are 540 inches apart and begin walking towards each other. Sean walks 2.6 times as fast as Hannah
Distance covered by Hannah =x
Distance between sean and Hannah= y
Distance covered by Sean= 540-x-y
Sean speed= (540-x-y)/t
Hannah speed= x/t
(540-x-y)/t /(x/t )= 2.6
(540-x-y)/x = 2.6
(540-x-y)= 2.6x
540 = 3.6x +y ...
17.9% of what number is 14.857?
Answer:
83
Step-by-step explanation:
.179 of x = 14.857
x = 14.857/.179
x = 83