Answer:
[tex]\boxed{ x = \sqrt{8.5} }[/tex]
Step-by-step explanation:
Hey there!
Irrational numbers are numbers that cannot be expressed as fractions.
[tex]\sqrt{8.5}[/tex]
=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865
The shown decimal goes on for 200 digits.
And it cannot be put into fraction form, meaning it is irrational.
Hope this help :)
Literally, irrational numbers are numbers that cannot be expressed as simple fractions. Some irrational numbers between 7 and 10 are 7.4833,7.9372,8.3666,8.4852,9.4868.
Given that
[tex]Min = 7[/tex]
[tex]Max = 10[/tex]
There are several ways to generate the irrational numbers between the given range.
One of the ways is as follows:
First, we list the pairs of relatively prime integers between the given range.
They are:
[tex]x = \{(7,8),(7,9),(7,10),(8,9),(9,10)\}[/tex]
Calculate the product
[tex]x = \{56,63,70,72,90\}[/tex]
Take the positive square root of the numbers to generate some irrational integers
[tex]x = \{\sqrt{56},\sqrt{63},\sqrt{70},\sqrt{72},\sqrt{90}\}[/tex]
[tex]x = \{7.4833...,7.9372....,8.3666...,8.4852....,9.4868....\}[/tex]
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Simplify -5(20 + 3). 85 -115 -97 -103
Answer:-115
Step-by-step explanation:
Use distributive property!
-5 times 20 = -100
-5 times 3 = -15
-100 - 15 = 115
Answer: the answer is -115
Step-by-step explanation:
Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help!
Answer:
x + y + z = - 22
Step-by-step explanation:
Reciprocal of a : - 6,
Reciprocal of b : 2
Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.
Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,
z = 2(- 6) / 2
= - 12 / 2 = - 6
And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.
Stephanie is registering her son for swim lessons. There is a one time $45 registration fee plus a $20 fee per lesson. Stephanie paid a total of $225. For how many lessons did Stephanie register? Write an equation to represent the problem and solve it.
Answer:
the equation is 45 + 20x= 225 and her son had a total of nine (9) classes.
Step-by-step explanation:
45 + 20x = 225 is the equation.
to solve it, we do 225-45=180
then, 180/20= 9
so x = 9
find the domain of [tex](4)/(x^2-1)[/tex]
Answer:
See below.
Step-by-step explanation:
We have the rational function:
[tex]\frac{4}{x^2-1}[/tex]
The domains of rational function are the zeros of the denominator. This is because if the denominator equals 0, they the function would be undefined.
Therefore, we need to find the zeros of the denominator. Set the expression in the denominator to zero:
[tex]x^2-1=0[/tex]
Solve for x. Add 1 to both sides:
[tex]x^2=1[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt1[/tex]
Simplify:
[tex]x=\pm 1[/tex]
So, the domain is all real numbers except for x=-1 and x=1.
In interval notation, this is:
[tex](-\infty,-1)\cup(-1,1)\cup(1,\infty)[/tex]
This is interpreted as all values until -1 not including -1 until all values until 1 not including 1, and then all values there on after.
In set notation, this is:
[tex]\{x|x\in\mathbb{R}, x\neq-1, 1\}[/tex]
Answer:
[tex]\large \boxed{\mathrm{All \ real \ numbers \ except} \ x=-1 \ \mathrm{and} \ x=1}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{4}{x^2-1}[/tex]
The domain of a rational function is all the real numbers except the numbers for which the denominator is equal to 0.
Let the denominator equal to 0.
[tex]x^2-1=0[/tex]
Solve for x.
[tex]x^2 =1 \\ \\ \\ x= -1 \ \mathrm{or} \ x=1[/tex]
When x = -1 and x = 1, the function is undefined.
The domain of the function is all real numbers except x = -1 and x = 1.
Does anyone know this?
Answer:
Hey there!
The domain is the range of all the x values.
Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.
Let me know if this helps :)
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
Answer:
The translation would be
X = 40% + 5 + A
Step-by-step explanation:
First, translate the words, is, more than and 'the number'.
Is means equals (=).
More Than means plus (+).
'the number' can be x.
Now, put it together.
X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)
I hope this helps!!
The expression of the number that is 40% more than five more than a number A will be mathematically given as 40% + 5 + A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The concept of algebraic expressions is the use of symbols or alphabets to represent numbers by providing their precise values.
Translate the following into an algebraic expression:
The number that is 40% more than five more than a number A.
Then the expression will be,
⇒ 40% + 5 + A
The expression of the number that is 40% more than five more than a number A will be 40% + 5 + A.
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en un parque de diversiones,el túnel del miedo sube ahasta alcanzar una altura de 50 metros sobre el piso después, cae 65 m hacia un túnel subterráneo ¿cuál es la diferencia entre la elevación del túnel contra la del túnel subterráneo
Responder:
15mExplicación paso a paso:
Deje que el nivel del suelo del parque de atracciones sea cero. Si el túnel del miedo se eleva a una altura de 50 metros sobre el suelo, entonces la distancia desde el nivel del suelo hasta la altura de 50 m sobre el suelo será 50 + 0 = 50 m.
Del mismo modo, si el túnel cae 65 m en un túnel subterráneo, la distancia desde el nivel del suelo hasta la distancia de 65 m bajo tierra será de 65 m.
De ahí la diferencia entre la elevación del túnel y la del túnel subterráneo = 65 m - 50 m = 15 m
If m // n and n // o and p is a transversal, find the
following;
Which are corresponding angles?
which are alternate interior angles?
which are alternate exterior angles?
which are same-side interior angles?
Which are vertical angles?
which are supplementary angles?
Answer:
See below.
Step-by-step explanation:
Here is one pair of angle of each type. There are more correct answers.
corresponding angles: <K, <O
alternate interior angles: <N, <P
alternate exterior angles: <I, <S
same-side interior angles: <N, <Q
vertical angles: <P, <R
supplementary angles: <J, <M
Which point could be removed in order to make the relation a function?
(-4, 3), (-5, 6), (1, 0), (-4, 5), (9,5), (0, -7)
Answer:
Graph it out on desmos and then see which one is out of order
Step-by-step explanation:
desmos graphing
What is this answer help me ASAP
Answer:
Step-by-step explanation:
Use PEMDAS rules
In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.
3[ (15 - 3)² ÷ 4] = 3[(12)² ÷ 4] {Now find the square of 12}
= 3[144 ÷ 4] {Now do division}
=3 * 36 {Finally multiplication}
= 108
what is the value of the expression when s=2 and t=1.5 -3|5-s3|+3t
Answer:
The value of the given expression is -4.5
Step-by-step explanation:
We need to find the value of the expression [tex]-3|5-s^3|+3t[/tex] when s=2 and t=1.5
Putting the values of s and t in the given expression.
So,
[tex]-3|5-s^3|+3t=-3|5-(2)^3|+3\times 1.5\\\\=-3|5-8|+4.5\\\\=-3|-3|+4.5[/tex]
We know that, |-a|=a
So,
[tex]=-3|-3|+4.5\\\\=-3(3)+4.5\\\\=-9+4.5\\\\=-4.5[/tex]
So, the value of the given expression is -4.5
Answer:
-13.5 is the correct answer.
Step-by-step explanation:
please someone help me...
Step-by-step explanation:
x cos θ + y sin θ = x cos β + y sin β
Let's say x = cos A, and y = sin A.
cos A cos θ + sin A sin θ = cos A cos β + sin A sin β
Use angle sum formula.
cos(A − θ) = cos(A − β)
A − θ = ±(A − β)
A − θ = β − A
2A = θ + β
A = (θ + β) / 2
cot A = cot((θ + β) / 2)
x/y = cot((θ + β) / 2)
Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.
I have ₹355.50 in my pocket . i purchased a shirt for ₹ 235.50 and a pair of socks for ₹ 22.65. How much money is left with me now ?? ONLY FULL METHOD NO DIRECT ANSWER PLS
Answer:
97.35
Step-by-step explanation:
355.5 - 235.5 -22.65
I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.
=> 355.5 - 235.5 - 22.65
=> 120 - 22.65
=> 97.35 rupees
So, 97.35 rupees is left
Ralph is an electrician. He charges an initial fee of $32, plus $33 per hour. If Ralph earned $197 on a job, how long did the job take?
Answer:
5 hourss
Step-by-step explanation:
197-32= 165
165/33
Answer:
5 hours
Step-by-step explanation:
Ralph earned $197 in total but with an initial fee of $32 so,
197 - 32 = 165
$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.
165 ÷ 33 = 5.
So the job took 5 hours.
Simplify: (x²y³z⁻³)⁷(xy⁴)
Answer:
[tex]\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }[/tex]
Step-by-step explanation:
[tex](x^2y^3z^{-3})^7(xy^4)\\[/tex]
Expanding Parenthesis
[tex](x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4[/tex]
Combining like terms
[tex]x^{14} * x * y^{21} * y^4 * z^{-21}[/tex]
When bases are same , powers are to be added
[tex]x^{14+1} y^{21+4} x^{-21}[/tex]
[tex]x^{15} y^{25} z^{-21}[/tex]
Neutralizing the negative sign by shifting z to the denominator
[tex]\frac{x^{15}y^{25}}{z^{21}}[/tex]
Answer:
[tex]\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }[/tex]
Step-by-step explanation:
[tex](x^2 y^3 z^{-3})^7 (xy^4)[/tex]
[tex]\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}[/tex]
[tex](x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)[/tex]
[tex](x^{14} y^{21} z^{-21})(xy^4)[/tex]
[tex]x^{14} \times y^{21} \times z^{-21} \times x \times y^4[/tex]
[tex]\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}[/tex]
[tex]x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}[/tex]
[tex]x^{14+1} \times y^{21+4} \times z^{-21}[/tex]
[tex]x^{15} \times y^{25} \times z^{-21}[/tex]
[tex]\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}[/tex]
[tex]\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }[/tex]
[tex]\displaystyle \frac{x^{15} y^{25}}{z^{21} }[/tex]
30+2k+5k=100
What is k?
Answer:
k = 10
Step-by-step explanation:
30+2k+5k=100
Combine like terms
30 + 7k = 100
Subtract 30 from each side
30+7k-30 = 100-30
7k = 70
Divide each side by 7
7k/7 = 70/7
k = 10
Answer:
k=10
Step-by-step explanation:
We are given the equation:
30+5k+2k=100
We want to find k, therefore we must isolate k on one side of the equation.
First, combine like terms on the left side of the equation. 5k and 2k can be added together.
30+5k+2k=100
30+(5k+2k)=100
30+7k=100
30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.
30-30+7k=100-30
7k= 100-30
7k= 70
k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.
7k/7=70/7
k=70/7
k= 10
The solution to the equation 30+5k+2k=100 is k=10
There are 100 or 102 pennies in a dollar. How many pennies are there in a million (106) dollars? Write your answer using exponents.
Answer:
10^8 pennies in a million dollars.
Step-by-step explanation:
I will work with the accepted number of pennies in a dollar: 100.
Then the number of pennies in a million dollars is
p = 100*10^6, or 1*10^8, or just 10^8.
8. In a circle of any size, what ratio does
pi (TT) represent?
A. radius: diameter
B. circumference: area
C. circumference: radius
D. circumference: diameter
If ∠R measures 18°, q equals 9.5, and p equals 6.0, then which length can be found using the Law of Cosines?
I hope this helps you
If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.
What is law of cosines?In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:
[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]
where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.
How to find length of triangle?We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:
[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]
r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]
Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].
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A farmer takes 8 days to cultivate a plot of land i ha in area. What area
of land will he cultivate in 20 days working at the same rate?
The farmer took 8 days to cultivate one and a half hectares (15000 m^2)
so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.
20 days = 0.1875 x 20
= 3.7500 hectares
hope it helped!
4 (px+1)=64
the value of x in terms of p is
the value of x when p is -5 is
Answer: x= -3
Step-by-step explanation:
4(px+1)=64
4(-5x+1)=64
-20x+4=64
-4. -4
-20x. =60
-20. -20
x = -3
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Answer:
The decimal point should be placed between 9 and 7
i.e
269.70
Step-by-step explanation:
In Long division method, the formula is given as:
Dividend ÷ Divisor = Quotient
We were given
26.97 ÷ 6.3
26.97 = Dividend
6.3 = Divisor
We are told in the question that:
as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number,
This means, since the Divisor 6.3 is made into an whole number = 63
It means 6.3 was multiplied by 10
6.3 × 10 = 63
In Long division, whatever rule is applied to the Divisor must be applied to the Dividend.
Since 6.3 was multiplied by 10 = 63(whole number), then the dividend must be multiplied by 10
Dividend = 26.97 × 10 = 269.7
Therefore, the place where should the decimal point be placed in the dividend is between 9 and 7
= 269.70
Answer: Between the 9 and the 7
f(x) = 1/x
g(x) = x − 4
Can you evaluate (g ○ f)(0)? Explain why or why not.
Answer:
(g ○ f)(0) is invalid
Step-by-step explanation:
g(x) = x − 4
f(x) = 1/x
(g ○ f)(x) = 1/x - 4
(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.
Answer:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
Step-by-step explanation:
This is the sample response on edge
Simplify the following problem, explaining each step.
13 - 4(x - 5)
Example: 4x - 3 + 2x - 6
Step Explanation
1. 6x - 3 Add 4x and 2x BECAUSE they are like terms (same variable)
a) What are the important key words or information needed from this problem?
Answer:
[tex]33 - 4x[/tex]
Step-by-step explanation:
Given the term to be solved by explaining each step:
[tex]13 - 4(x - 5)[/tex]
First of all, the bracket will be solved as per the BODMAS rule.
The bracket term is:
[tex]4(x-5)[/tex]
Now, 4 will be multiplied with [tex]x[/tex] and -5.
i.e.
[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]
Now, let us put the value back in the original expression.
[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]
Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20
[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)
Now, 13 and 20 are like terms, they will be added.
[tex]\therefore[/tex] the expression is equivalent to :
[tex]\bold{33-4x}[/tex]
What’s the answer to this ???
Answer:
m<PKN = 270 - m<JKP
Step-by-step explanation:
m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270
m<PKN + m<JKP = 270
Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena
Did jada drink more or less than water than elena
Answer:more cuz it says 3/4 much more
Step-by-step explanation:
The graphic organizer represents the sets of all rational numbers. What could be the value of A
Answer:
The correct option is;
B) 0
Step-by-step explanation:
Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers
Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....
Answer: Its B.) 0
Step-by-step explanation:
What is the value of X in the equation 1/5X—2/3yequals 30when y equals 15
Answer:
x = 50
Step-by-step explanation:
y = 15
1/5X - 2/3y = 30
1/5x - (2/3 x 15) = 30
1/5x - (10) = 30
1/5x = 30 - 20
1/5x = 10
x = 50
To rent a car for one week, a car rental company charges a $200, 200 base price as well as $0.45. She has a 275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget? A) 166 miles B) 167 miles C) 168 miles D) 169 miles
Answer:
A
Step-by-step explanation:
base 200 dollars
200+0.45 x ≤ 275
for 166 miles: 200+0.45(166)=274.7 it does not exceed the budget
Answer:
Your correct answer is option A.
Step-by-step explanation:
Your base is $200
200+0.45 x ≤ 275
for the 166 miles: 200+0.45(166)=274.7
100 points and brainest Plz help me PLZ
Answer:
○ C. The lines are perpendicular.
Step-by-step explanation:
In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:
− to +}
> OPPOSITE
+ to −}
MULTIPLICATIVE INVERSE [RECIPROCAL]
I am joyous to assist you at any time.
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