Answer:
The answer is 14 students.
Step-by-step explanation:
70% of 20 = 14
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
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Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
What is the value of x in the equation below?
Negative 3 minus (negative 8) minus (negative 2) = x
Answer:
13
Step-by-step explanation:
[tex]3 - ( - 8) = 11[/tex]
[tex]11 - ( - 2) = 13[/tex]
Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.
The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.
Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
Answer: the answer is the second one
Step-by-step explanation:
9514 1404 393
Answer:
3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of additionStep-by-step explanation:
The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.
Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.
For multiplication, the associative property can be written:
(ab)c = a(bc)
This form matches the first of the choices shown:
3(ab) = (3a)b
__
For addition, the associative property can be written:
(a+b)+c = a+(b+c)
This form matches the second of the choices shown:
(3 + a) + b = 3 + (a + b)
__
If you must select one answer, you need to know which associative property you're talking about.
Please help will give brainliest answer
Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
what segment is equal in length to the segment XZ ? pls help
Answer:
Segment XY or YX (they are the same)
Step-by-step explanation:
The marks in the sides indicate congruency.
2 ( 3x + 1 ) = x - 8
Answer:
x=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
6x + 2 = x-8
6x - x = -8 -2
5x=-10
x=-2
Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?
Answer:
In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.
Step-by-step explanation:
help i give crown ples what is the vaule of the underlind 4
0.478
Answer:
The tenth place
Step-by-step explanation:
A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
[tex](4x^5-8x) - (3x^2-8x+9)[/tex]
Expand
[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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9+10....................................................................
Answer:
24234221111111111111111111111
Step-by-step explanation:
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)
Express 7.409 in word form.
Convert the unit rate: 60 mi/h = Ft/s
Please help me!
1 mile = 5,280 feet.
60 miles x 5,280 = 316,800 total feet.
1 hour = 3,600 seconds.
316,800 feet / 3,600 seconds = 88 feet per second.
The answer is 88 ft/s
I need help with this question
Answer:
The answer is going to be option 1.
Step-by-step explanation:
The answer you get from multiply an number by itself is a perfect square.
Answer:
8×8 =8^2=64 (perfect square)
Step-by-step explanation:
64 is a perfect square because 8^2 =8×8 =64
Help Mr. North can read 3/4 of a novel and 1/5 of a week. How much of the novel can Mr. North read in one entire week?
Evaluate and reduce:
-4.9
Enter the number that belongs in the
green box,
Answer:
Step-by-step explanation:
-4/7 * 9
The dot there resembles multiplication sign.
-4/7 * 9/1 (9 = 9/1 because 9 divided by 1 = 9)
=> -(4 * 9) / (9 * 1)
=> -36 / 9
=> -4
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
nine more than the product of a number and 6 is 5
Answer:
-2/3
Step-by-step explanation:
9+6x=5
6x=-4
x=-2/3
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).
Is 17/5 + square root of 64 greater than 8 + pi?
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
What is 4/15 / -3.4
Answer:
Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137
Rewrite using i. Show your work.
Pwease help me wit this problem, tysmm
Answer:
yeah every time Charlie takes 30 dollars more than previous salary
find the quotient 5,9,374
Answer:
I don’t know exactly what ur asking but I hope this helps
Step-by-step explanation:
6.33
NOT Answer:
i would be glad to answer this but whats a quotient
sory
solve for x: x²/x-3=x+2/2x-5
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
2^4x4^4=2^4x2^n=2^12
Answer:
don''t knw
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Given sequence is geometric sequence and common ratio between consecutive term is [tex]\frac{1}{2}[/tex] .
In Arithmetic sequence , common difference between consecutive terms should be equal.
In Geometric sequence, common ratio between consecutive terms should be equal.
Given sequence, 12, 6, 3, ...
Since, common difference = [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.
Common ratio = [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex] Because common ratio is are equal. Thus, given sequence is geometric sequence.
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