Why is the square root of a non perfect square always irrational number ?
Answer:
The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...
Answer:
Yes, unless X is a perfect square, sqrt(X) is irrational
Step-by-step explanation:
The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.
Factor 3xy+21x+9 completely
- 3x(y+7x+6)
- 3(xy+7x+3)
- Prime (Not Factorable)
- xy+2x+3
Answer:
Hence the second option is the correct answerStep-by-step explanation:
In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.
here is a way to do it
given the following expression
[tex]3xy+21x+9[/tex]
From the expression above we can see that 3 is common to all the terms of the expression so that we have
[tex]3(xy+7x+3)[/tex]
hence the second option is the correct answer
Simplify: 3 · 3^2 + 8 ÷ 2 − (4 + 3)
Answer:
24
Step-by-step explanation:
3^3+4-7
27+4-7
24
The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.
To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):
P - Parentheses first
E - Exponents (i.e., powers and square roots, etc.)
MD - Multiplication and Division (left to right)
AS - Addition and Subtraction (left to right)
Start with the exponent:
3² = 3 × 3 = 9.
Next, perform the division:
8 ÷ 2 = 4.
Now, deal with the parentheses:
(4 + 3) = 7.
Finally, perform the addition and subtraction from left to right:
9 + 4 - 7
= 6.
So, the simplified expression is 6.
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What rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin?
Answer:
-x,-y
180
Step-by-step explanation:
ED 2020
The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,
The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).
Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
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y = 3x - 2)
what is the slope of this equation
Answer:
The slope is 3.
Step-by-step explanation:
So we have the equation:
[tex]y=3x-2[/tex]
This is in the slope-intercept form, where:
[tex]y=mx+b[/tex]
Here, m is the slope and b is the y-intercept.
From the original equation, m is 3 and b is -2.
In other words, our slope is 3.
So, the slope of the equation is 3.
And we're done!
Three times the sum of a number and 9 and 12. Find the number
Answer: 324
Step-by-step explanation: Firstly, multiply 9x12. And that is 108. Since in the problem it says "Three times the sum" you would multiply 108 by three and get 324.
Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to AngleDCB. A horizontal line has points A, C, B. Right angle F C D intersects the line at point C. A line extends from point C vertically to point E. Angle A C F is 45 degrees and angle F C D is 90 degrees. Which statement is true about AngleDCB and AngleACF? They are congruent and complementary. They are congruent and supplementary. They are complementary but not necessarily congruent. They are supplementary but not necessarily congruent.
Answer:
A: They are congruent and complementary.
Step-by-step explanation:
Just took the test hope this helps :D
Answer:
A
Step-by-step explanation:
it was correct on edge2020 so
(shrug)
Which of the following describes soil and temperature in an ecosystem?
A abiotic factors
Bbiotic factors
C unnecessary factors
D conditional factors
HURRY I’M TIMED
A recipe for trail mix calls for a ratio of 4 to 1 of M&M's to sunflower seeds by weight. How many ounces of sunflower seeds will there be in this mixture if there are 2 pounds of M&M's?
There will be 4 times the number of M&M's to the number of sunflower seeds according to the ratio.
Using this, we can create a proportion.
[tex]\frac{4}{1}=\frac{2}{x}[/tex]
[tex]x=\frac{1}{2}[/tex]
There will be [tex]\frac{1}{2}[/tex] pounds of sunflower seeds needed, or 8 ounces.
Hope this helps.
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Any value that makes an equation true is a _____
Any value that makes an equation true is a 'solution of that equation'.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.
So, The complete sentence is,
Any value that makes an equation true is a ''solution of that equation.''
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Find the sum of the integers
(-12)+7
Answer:
-5 is the answer Very easy
Answer:
The answer will be -5Step-by-step explanation:
Hope this helped...
You run to the store on your way home from school. You want to buy some Doritos. Should you buy the regular size bag or the party size bag? Calculate the unit price for each size and determine which one is the better buy. 15 oz. Party Size Doritos $3.98 9.75 oz. Doritos $2.98
Answer:
15 ounce bag is cheaper per ounce than 9.75 ounce bag.
Step-by-step explanation:
For this problem, you should simply take the cost divide by the size for each to find the price per ounce.
$3.98 / 15oz == $0.265 per ounce
$2.98 / 9.75oz == $0.306 per ounce
Note that the 15 oz bag is a better price per ounce than the 9.75 oz bag.
As to what bag you should buy, that really should depend on more factors than just what's best per ounce. For instance, are you really hungry enough for 15 ounces of doritos, or will 9.75 do just fine? Also, do you even have the extra dollar it would cost to buy the bigger bag? Just some stuff to think about.
Cheers.
I need help with math
Answer:
Sure what class (algebra, triginometry etc...) and do you have discord
Step-by-step explanation:
DeAndre Jordan has been working on his free throw shooting for the 2020-21 NBA season and it's not going well. After his workouts, he's been shooting 50% from the line in an empty gym. He shoots a string of 15, and then based on the number he makes, he has the following exercise routine. You can assume all of his free-throws have the same probability of being made (50%) and are independent of another.
If he makes more than 10 *** or less than 5. he does 40 push-ups. (A)
If he makes less than 8. he does 15 pull-ups. (B)
If he makes exactly 6 (his jersey number). he runs the length of the court and back 10 times.
If he makes between 3 and 12 (inclusive). he drinks a very tall glass of water. (D)
(He may do multiple exercises,)
***This initially incorrectly read 10 instead of 9. If you submitted your attempt before. l made the correction. I have regraded it.
Which of the following are independent ?
Select one or more:
a. A and B are independent.
b. C and D are independent.
c. A and D are independent.
d. A and C are independent.
e. B and D are independent,
Answer:
b. C and D are independent
c. A and D are independent
e. B and D are independent.
Step-by-step explanation:
The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.
Find the most general antiderivative or indefinite integral. ∫ 9x √13 dx = ____________.
Answer:
[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C
Step-by-step explanation:
Required:
indefinite integral of ∫ 9x √13 dx
To solve this, follow these steps:
(i) Place the constant values 9 and √13, at the front of the integral
9√13 ∫x dx
(ii) Now find the integral of x with respect to x by applying the power rule
9√13 [[tex]\frac{x^2}{2}[/tex]] + C
[tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C [Where C is any constant]
Therefore the indefinite integral of the given expression is [tex]\frac{9\sqrt{13} }{2}[/tex] [x²] + C
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
Answer:
12π cubic inches
Step-by-step explanation:
Volume = (4/3)πr^3
V = (4/3)π9
V = (36/3)π
V = 12π
For the function f(x)=|4x−2|+10, evaluate f(−3).
Answer:
[tex]f(-3)=24[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=|4x-2|+10[/tex]
To find f(-3), substitute -3 for x:
[tex]f(-3)=|4(-3)-2|+10[/tex]
Multiply within the absolute value:
[tex]f(-3)=|-12-2|+10[/tex]
Subtract:
[tex]f(-3)=|-14|+10[/tex]
The absolute value of -14 is 14. Thus:
[tex]f(-3)=14+10[/tex]
Add:
[tex]f(-3)=24[/tex]
And we're done!
Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?
Answer : The correct option is, (B) 1500 cubic yards.
Step-by-step explanation :
Formula used to calculate the volume of square pyramid is:
[tex]V=\frac{a^2\times h}{3}[/tex]
where,
V = volume of pyramid
a = base edge of pyramid
h = height of pyramid
Given:
Base edge of pyramid = 15 yards
Height of pyramid = 20 yards
Now putting all the given values in the above formula, we get:
[tex]V=\frac{a^2\times h}{3}[/tex]
[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]
[tex]V=1500\text{ yards}^3[/tex]
Therefore, the volume of pyramid is 1500 cubic yards.
Answer:
(B) 1500 cubic yards.
Step-by-step explanation:
took usatestprep
Add 6.004 + 0.08 + 954 + 3.5 =
Answer:
963.584 is the answer.
Solve for :
9x - 3 - 8x = 7 - X
A. X=-7
B. x = -2
C. X=4
D. x= 5
pls help me my grade is depending on it
Answer:
d. x = 5
Step-by-step explanation:
Solve for x:
x - 3 = 7 - x
Hint: | Move terms with x to the left hand side.
Add x to both sides:
x + x - 3 = (x - x) + 7
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + x - 3 = 7
Hint: | Add like terms in x + x - 3.
x + x = 2 x:
2 x - 3 = 7
Hint: | Isolate terms with x to the left hand side.
Add 3 to both sides:
2 x + (3 - 3) = 3 + 7
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
2 x = 7 + 3
Hint: | Evaluate 7 + 3.
7 + 3 = 10:
2 x = 10
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 10 by 2:
(2 x)/2 = 10/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 10/2
Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.
The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:
Answer: x = 5
Haley has three times as many stuffed animals as she does dolls. Her brother has 18 more video games than Haley has stuffed animals. If Haley has 15 dolls, how many video games does her brother have? A. 273 B. 33 C. 63
Answer:
63
Step-by-step explanation:
15 dolls-
15 x 3 = 45 stuffed animals
45+18 = 63
According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minutes. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016?
=======================================================
Explanation:
Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either. These numbers are either thrown in as filler or distraction.
We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"
Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.
Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer
--------------
As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase
1.82*21495 = 39,120.9 which rounds to 39,121
The area of a square is 400 square units. Select all the statements that would be true if the length of each side of the square increased by one unit.
A-The area of the square would be a rational number.
B-The area of the square would be an irrational number
C-Each side length would be a perfect square.
D-The area of the square would be a perfect square.d
E -The area of the square would be a nonterminating, nonrepeating decimal.
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST!
Answer:
A and D
Step-by-step explanation:
Given that the area of a square = 400 units² = s²
Where s is one side length of the square.
It means that the side length (s) = √400 = 20
If the length of each side length increase by 1 units, new side length = 21 units
Area of new square = 21² = 441
The following statements would be true if the side length was increased by 1 units:
A. "The area of the square would be a rational number"
441 is a rational number, because a rational number is a quotient of two integers.
441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441
D. "The area of the square would be a perfect square".
A number is considered a perfect square if it can be expressed as a product of two equal integers.
441 can be expressed as 21*21
Answ
Step-by-step explanation:
Find (2n - 3)(n + 4).
Answer:
look at the picture to get the solution
Hope it helps
A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax collected
A clothing company is planning an event in which it will provide clothes to homeless children in countries where the company has set up factories. Which tool or technique is the company using to promote its brand? sales promotions direct marketing personal sales public relations advertising
Answer:
They are using public relations advertising
Answer:
Public relations.
Step-by-step explanation:
Because charity events can provide a company with publicity, which is part of public relations.
g(t)=t squared - 2; Find g(9)
Answer:
79
Step-by-step explanation:
So we have the function:
[tex]g(t)=t^2-2[/tex]
To find g(9), substitute 9 for t. Thus:
[tex]g(9)=9^2-2[/tex]
Square:
[tex]g(9)=81-2[/tex]
Subtract:
[tex]g(9)=79[/tex]
So, our answer is 79.
And we're done!
Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction
Answer: C
Square the binomial
The Simplification of the given expression : [tex]10n -n ^2 - 9[/tex]
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Brayden wants to simplify the given expression;
[tex]4n - (n -3)^2[/tex]
He begins by distributing the negative to the terms inside the parentheses. This is a wrong approach to simplify the given expression.
He should have done the following steps;
First square the term, then distribute the negative sign and then combine the like terms.
[tex]4n - (n -3)^2[/tex]
Simplification of the given expression:
[tex]4n - (n ^2 - 6n + 9)\\\\4n -n ^2 + 6n - 9\\\\10n -n ^2 - 9[/tex]
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The length of a rectangular classroom floor is 6 feet more than twice the width the perimeter is 30 feet. What is the length and width of the classroom?
Answer:
Length = 12.75 feet
Width= 2.25 feet
Step-by-step explanation:
Let the length = x
Let the width= y
The length of a rectangular classroom floor is 6 feet more than twice the width
X= 6+2y
The perimeter is 30 feet.
Perimeter= 2(length+width)
Perimeter= 2(x+y)
30= 2x +2y
But x= 6+2y
30 = 2(6+2y) +2y
30= 12 +4y +4y
30-12= 8y
18= 8y
2.25 = y
30= 2x +2y
30= 2x +2(2.25)
30- 4.5= 2x
25.5= 2x
12.75= x
Length = 12.75 feet
Width= 2.25 feet
find the difference. m+2/(m-4)^2 - m-2/(m-4)^2
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{m+2}{(m-4)^2}[/tex] - [tex]\frac{m-2}{(m-4)^2}[/tex]
Since the denominators are common then express as a single fraction
= [tex]\frac{m+2-(m-2)}{(m-4)^2}[/tex]
= [tex]\frac{m+2-m+2}{(m-4)^2}[/tex]
= [tex]\frac{4}{(m-4)^2}[/tex] → A