What is the following quotient?
2
√13+√11
O√13-2√11
√13+√11
6
O
113 + √11
12
O
● √13 - √11
Answers
[tex]\frac{2}{\sqrt{13}+\sqrt{11}} \times \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\=\frac{2\sqrt{13}-2\sqrt{11}}{13-11}\\\\=\boxed{\sqrt{13}-\sqrt{11}}[/tex]
The solution is: our final quotient is: (√13 - √11).
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation
Since we have radicals in the denominator, we need to rationalize our expression.
To do it we just need to multiply both numerator and denominator by the conjugate of the denominator.
Remember that the conjugate of a binomial is the same binomial with the sing in between changed.
given that,
2/ (√13 + √11)
Now, we can simplify the denominator:
multiplying by (√13 - √11)
we get,
2 * (√13 - √11) / (√13 + √11)* (√13 - √11)
The only radical that we can simplify in the numerator is , which simplifies to:
2 (√13 - √11) / 13 - 11
= 2(√13 - √11) /2
= (√13 - √11)
So, our final quotient is: (√13 - √11)
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ5
Related Questions
X=11 Give the equation of the line parallel which passes through (9,5)
Answers
Step-by-step explanation:
x = 11
is a vertical line going through x = 11.
a parallel line going through (9,5) has to be a vertical line too and use x = 9.
so, that is the equation :
x = 9.
What are all values of x that satisfy 4x-1 < 6x+9
Answers
The values of x that makes the inequality true are all values less than -5
Inequality expressionsGiven the inequalities below expressed as;
4x-1 < 6x+9
Collect the like terms
4x-6x < 9+1
-2x < 10
x <-10/2
x < -5Hence the values of x that makes the inequality true are all values less than -5
Learn more on inequality here; https://brainly.com/question/24372553
#SPJ1
Take a rectangular sheet of paper. Fold it in any way and then unfold it. Draw a line on the crease using a ruler and pencil. Repeat this process 7 more times. Mark the points of intersection as A, B, C, D and so on. Identify polygons and identify whether they are convex or concave.
Answers
The polygon formed was convex polygon.
What is a Concave and Convex Polygon ?A polygon that has at least one interior angle greater than 180 degree is called concave polygon . It usually has an irregular shape.
A convex polygon has all angles less than 180 degree.
It is given to follow some steps
1. A rectangular sheet of paper is taken .
2. It if folded and unfolded in random directions
3. Lines are drawn on the creases
4. The intersection points are marked A,B,C,D,E,F,G
5. The figure formed is a convex polygon as all the angles measure were less than 180 degree.
Therefore the polygon formed was convex polygon.
To know more about Concave and Convex Polygon
https://brainly.com/question/8496460
#SPJ1
What is the volatile acid/alkalinity relationship in a digester if the alkalinity is 2400 mg/L and the volatile acids are 90 mg/L?
Answers
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of volatile acid to alkalinity = 90 mg/L ÷ 2400 mg/L = 3/80
The volatile acid/alkalinity relationship in a digester is volatile acid/alkalinity = 3/80
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
y=-3x² + 12x - 12 has how many real roots?
A. 0
B. 1
C. cannot be determined
D. 2
Answers
The equation has 2 real roots
How to determine the number of real roots?The equation is given as:
[tex]y = 3x^2 + 12x - 12[/tex]
Calculate the determinant using
d = b^2 - 4ac
So, we have:
d = 12^2 - 4 * 3 * (-12)
Evaluate
d = 288
Because d > 0
i.e. 288 is greater than 0
Then it means that the equation has 2 real roots
Read more about roots at:
https://brainly.com/question/15654745
#SPJ1
f(x)=-2x+4
find domain and range
Answers
Domain: All real numbers
Range: All real numbers
Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.
Solve for x.
2x² = x+6
If there is more than one solution, separate them with commas. If there is no solution, click on “No Solution.”
Answers
Answer:
no solution
Step-by-step explanation:
2x²+ x + 6 = 0
Use quadratic formula
x = (-b±√(b²-4ac))/2a
x = (-1±√(1²-4(2)(6)))/2(2)
x = (-1±√(-47))/2(2)
i need help with this could you please help me
Answers
Answer:
it is A
Step-by-step explanation:
Y is inversely proportional to the square root of x. If Y = 5 when x = 36, find Y, when x is 16. For full credit: 1. Write a proportion. 2. Solve for y. 3. Show work.
Answers
Answer: y=7.5
Step-by-step explanation:
Given
y∝(1/√x)
this implies that
y=k/√x eq(*)
when y=5 and x=36 then
5=k/√36
5=k/6
30=k eq(1)
to find y when x is 16
put values in eq(*)
y=30/√16
y=30/4
y=7.5
Kurt has $9,000 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will he have in 1 year? Kurt has $ 9,000 in an account . The interest rate is 5 % compounded annually . To the nearest cent , how much will he have in 1 year ?
Answers
Answer:
$9450
Step-by-step explanation:
Answer:
A = $9,450.00
A = P + I where
P (principal) = $9,000.00
I (interest) = $450.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 9,000.00(1 + 0.05/1)(1)(1)
A = 9,000.00(1 + 0.05)(1)
A = $9,450.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of 5% per year compounded 1 times per year over 1 years is $9,450.00.
The mean of the Normal distribution determines the ___________ of the distribution. Please complete the sentence by selecting one of the word below:
A) location
B) percentage
C)Spread
D) proportion
Answers
Step-by-step explanation:
location
of the distribution.
What is the asset turnover?
Answers
Answer:
the ratio of total sales or revenue to average assets
Step-by-step explanation:
djjcjdm.x....
Answer:
Days of Asset Turnover The Enterprise Accounting System specifies that the net revenue from main business of an enterprise should be the amount of revenue from main business after deducting sales discounts and sales discounts, which is called net revenue from main business. Total asset turnover ratio = total sales revenue / average total assets x 100%.
Step-by-step explanation:
Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence.
Answers
Step-by-step explanation:
1) the difference betwee the terms given is 3-8=-2-3= -5, then
2) for n-th term: aₙ=8-5(n-1);
3) for the 9-th term: a₉=8-5*8=-32.
to search
O
02/
Active
O
1
What is the value of the expression "three less than the quotient of ten and a number, increased by six" when n = 2?
2
-7/4
8
19/12
Answers
The value of the expression given the information about the quotient is 8.
How to calculate the value?From the information given, the equation will be:
= (10/n - 3) + 6
where n = 2
(10/2 - 3) + 6
= (5 - 3) + 6
= 2 + 6
= 8
In conclusion, the correct option is 8.
Learn more about quotient on:
https://brainly.com/question/673545
#SPJ1
Identify the binomial
Answers
Answer:
D.
Step-by-step explanation:
D. is the binomial since it has 2 terms.
The table shows the names of four company owners. One of them funded a
study showing that company A has the longest-lasting products. Funding by
which owner would make you skeptical of the results?
Company
Company A
Company B
Company C
Company D
A. Elsa Juarez
B. Xander McCoy
C. Joel Mabaso
D. Francesca Xi
Owner of company
Francesca Xi
Xander McCoy
Elsa Juarez
Joel Mabaso
Answers
The owner funding that would make you skeptical of the results is: D. Francesca Xi.
The owner funding that would make you skeptical of the resultsCompany A funded the study which will attract potential customer to the company product as the company product will be more attractive to customers after the study.
Hence, since company A which is Francesca Xi has the longest-lasting products, he will be the business owner funding that would make you skeptical of the results .
Therefore the correct option is D.
Learn more about owner funding that would make you skeptical of the results here:https://brainly.com/question/14334504
#SPJ1
if the following data were transformed, and points with the coordinates (x, log) y)) were plotted, what points would be plotted? round log(y) to three decimal places.
x y
3 125
4 625
5 3125
A. (3, 2.097), (4, 2.796), (5, 3.495)
B. (2.097, 3), (2.796, 4), (3.495, 5)
C, (125, 2.097), (625, 2.796), (3125, 3.495)
D. (2.097, 125), (2.796, 625), (3.495, 3125)
Answers
Option A is accurate. The points were plotted with the coordinates (x, log) y), and they are (3, 2.097), (4, 2.796), and (5, 3.495).
What is the definition of a logarithm?
Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
Identity used;
[tex]\rm log_x (y) = z \\\\ z^x=y[/tex]
From the data we obtained;
[tex]\rm log_3(125) = 5 \\\\ 5^3 = 125[/tex]
[tex]\rm log_5 625 = 4 \\\\ 5^4 = 625[/tex]
[tex]\rm log_5 (3125) = 5 \\\\ 5^5 = 3125[/tex]
The points with the coordinates (x, log) y)) were plotted, the points are (3, 2.097), (4, 2.796), (5, 3.495)
Hence, option A is correct.
To learn more about the logarithm refer;
https://brainly.com/question/7302008
#SPJ1
15) Complete.
Purchase Price: $450
Finance Charge: $82,50
Down Payment: $150
Number of Payments: 18
Monthly Payment:
O a.) $22.15
Ob.) $20.45
Oc.) $21.25
Od.) $22.25
Answers
Answer:
d is correct answer
Show all work pleaseee and thank you
Answers
Work is attached. Hope it helped!
Simplify the expression. What classification describes the resulting polynomial? (3x^2-11x-4)-(2x^2-x-6)
Answers
The expression can be simplified to a polynomial of degree 2.
[tex]x^2 - 10x + 2[/tex]
How to simplify the expression?
Here we have the expression:
[tex](3x^2 -11x - 4) - (2x^2 - x - 6)[/tex]
We can directly simplify this by taking the variable as common factor:
[tex](3 - 2)*x^2 + (-11 + 1)*x + (-4 + 6)\\\\x^2 - 10x + 2[/tex]
This is a polynomial, as you can see, the maximum exponent is 2, so the degree of the polynomial is 2.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ1
According to the graph, what is the value of the constant in the equation
below?
Height = Constant - Width
Answers
Answer:
B) 0.5
Step-by-step explanation:
The given formula is:
Height = Constant * Width
You may now choose any point on the graph (the horizontal line represents a point for width, and the vertical line represents a point for height) and put it into the specified formula. Let's test the two supplied points (2, 1):
Now, 2 is on the horizontal line, so we put it in for width, and 1 is on the vertical line, so we plug that in for height. When we do it, we get:
1 = C * 2
(In the expression above we need to solve for C, and we can do that by dividing both sides by 2)
C= 1/2 = 0.5
So, the answer is 0.5 or option B.
Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influence the probability that it will land heads up. Based on your understanding of theoretical probability, explain to your little brother why his theory of influence is false.
Answers
By performing two experiments a lot of times, your brother will see that catching the coin mid-air does not affect the probability.
How to explain that the theory is false?We assume that the probability of each outcome of the coin is equal, so the probability of getting tails is 0.5 and the probability of getting heads is 0.5
Then, you can say to your brother to perform his experiment a lot of times. In two ways.
First, he lets the coin came down to his hand around 100 times.
Then, he catches the coin in mid-air another 100 times.
He will see that the probability of getting heads (or tails) is (almost) the same in both cases, this will mean that his theory is false.
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
Tom changed the rotating speed of his cement mixer from 6 1/3 rpms to 10 rpms . By how many revolutions per minute did the speed of the mixer increase
Answers
Answer:
3 2/3
Step-by-step explanation:
10 rpms - 6 1/3 rpms = 3 2/3
Write 32.5% as a fraction in simplest form.
Answers
Answer:
13/40
Step-by-step explanation:
Rewrite a percentage as a decimal: [tex]\frac{32.5}{100}[/tex]
Convert decimals to integers: [tex]\frac{325}{100}[/tex]
Reduce the fraction: [tex]\frac{13}{40}[/tex]
Answer: [tex]\frac{13}{40}[/tex]
32.5% as a fraction in simplest form is 13/40.
Here we have to find fractional form of 35 percent
Since we knw that,
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
To convert a percentage to a fraction,
we can simply write it as a fraction with a denominator of 100.
Then,
we simplify the resulting fraction to its simplest form.
For 32.5%,
we can write this as,
⇒ 32.5/100
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of 32.5 and 100 is 12.5,
so we can divide both by 12.5,
⇒ 32.5/100 = (32.5 ÷ 12.5) / (100 ÷ 12.5)
= 13/40
Therefore, 32.5% as a fraction in simplest form is 13/40.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ6
Flying the SR-71A jet, Capt. Elden W. Joersz, USAF, set a record speed of 2193.16 miles per hour. At this speed, the algebraic expression 2193.16t gives the total distance flown in t hours. Find the distance flown by the SR-71A in 1.7 hours.
Answers
Final answer:
The required distance is 3728.372 miles.
Step-by-step explanation:
Step 1
The distance flown is t hours given by:
2193.16t
Step 2
Let distance be represented by d, thus:
d = 2193.16t
Step 3
d = 2193.16t
Substitute t = 1.7 in the relation:
d = 2193.16 x 1.7
Step 4
Solve for d:
d = 2193.16 x 1.7
d = 3728,372
7(x + 1) -2 =5 (x + 1) +2
Answers
Answer:
x = 1
Step-by-step explanation:
Simplifying
7(x + 1) + -2 = 5(x + 1) + 2
Reorder the terms:
7(1 + x) + -2 = 5(x + 1) + 2
(1 * 7 + x * 7) + -2 = 5(x + 1) + 2
(7 + 7x) + -2 = 5(x + 1) + 2
Reorder the terms:
7 + -2 + 7x = 5(x + 1) + 2
Combine like terms: 7 + -2 = 5
5 + 7x = 5(x + 1) + 2
Reorder the terms:
5 + 7x = 5(1 + x) + 2
5 + 7x = (1 * 5 + x * 5) + 2
5 + 7x = (5 + 5x) + 2
Reorder the terms:
5 + 7x = 5 + 2 + 5x
Combine like terms: 5 + 2 = 7
5 + 7x = 7 + 5x
Solving
5 + 7x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
5 + 7x + -5x = 7 + 5x + -5x
Combine like terms: 7x + -5x = 2x
5 + 2x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
5 + 2x = 7 + 0
5 + 2x = 7
Add '-5' to each side of the equation.
5 + -5 + 2x = 7 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 7 + -5
2x = 7 + -5
Combine like terms: 7 + -5 = 2
2x = 2
Divide each side by '2'.
x = 1
Simplifying
x = 1
Answer:
Hello! The answer is x = 1.
Step-by-step explanation:
To solve this equation, we need to find x.
The first step in approaching this problem would be to use the distributive property:
7(x + 1) - 2 = 5(x + 1) + 2 will turn into:
7x + 7 - 2 = 5x + 5 + 2
Now, you can combine like terms on each side of the equation:
7x + 5 = 5x + 7
Now, you want to get the x's on one side and the whole numbers on the other side. In order to do this, we will subtract 5 from both sides and subtract 5x from both sides:
7x + 5 = 5x + 7
-5x -5 -5x -5
This will leave us with:
2x = 2
We will have to now divide both sides by 2 to get x by itself:
2x = 2
-- --
2 2
This leaves us with the result: x = 1
A wall of a building is 30 inches wide. 14 inches is concrete,10 inches is brick, and 6 inches is like stone. What fraction of the wall is concrete
Answers
Answer:
46.67 %
Step-by-step explanation:
Total thickness = 30
14 of this is concrete 14/30 x 100% = 46.67 %
Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 19 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because the third side length is greater than the sum of the other two side lengths. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because 4 + 8 is greater than 10.
Answers
Answer:
A) Yes, because the sum of any two side lengths is greater than the third side length.
Step-by-step explanation:
All triangles have a property that the sum of two side lengths is greater than the remaining side length.
4 + 8 = 12 > 10, making it a triangle
Which is the best definition of closure?
Number sets are closed under an operation when you perform the operation and the result is a number that is not a real number.
Number sets are closed under an operation when you perform the operation and the result is a member of the opposite number set.
Number sets are closed under an operation when you perform the operation and the result is a member of a related number set.
Number sets are closed under an operation when you perform the operation and the result is another member of the same number set
Answers
Answer:
Number sets are closed under an operation when you perform the operation and the result is another member of the same number set
(a) Find x given that [tex]4^x=2[/tex]
(b) Let x = 1.1609... be the positive real number such that [tex]4^x=5[/tex]. Prove that x is irrational.
Answers
Answers:
(a) x = 0.5
(b) Given Below.
Explanation:
(a)
[tex]4^x = 2[/tex]
apply ln both sides
[tex]ln(4^x) = ln(2)[/tex]
simplify
[tex]xln(4) = ln(2)[/tex]
divide both sides by ln(4)
[tex]x = 0.5[/tex]
(b)
Recall that rational numbers can be expressed in fractions a/b
[tex]4^x = 5[/tex]
apply ln on both sides
[tex]ln( 4^x) = ln(5)[/tex]
simplify
[tex]xln( 4) = ln(5)[/tex]
divide both sides by ln(4)
[tex]x =\frac{ ln(5)}{ln(4)}[/tex]
simplify
[tex]x =1.160964047...[/tex] The value is endless and continues.
The following cannot be expressed as a fraction or whole number.
Hence, the following value of x is irrational.