Answer:
17
Step-by-step explanation:
give one seggestion to avoid cyber bullying
BEING CAREFUL WHILE USING THE INTERNET
Answer:
Never post personal information Always check the TO: field Don't be gullible Don't respond to an angry message with anger Never open messages from strangers Don't forward chain mails, hoaxes or long emails Use the BCC: field when forwarding messages Proofread your messages Beware of certain topics Don't post anything that is very private
The first three terms of the binomial expansion of (2 – ax)" are 64 – 16bx +100bx?.
Find the value of each of the integers n, a and b.
Ans: n=6, a=5, b=60
Answer:
n = 6, a = 5, b = 60
Step-by-step explanation:
In a binomial function (a + b)ⁿ expression that represents the terms,
(a + b)ⁿ = [tex]\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^k[/tex]
By this formula,
1st term = [tex]\binom{n}{0}a^{n-0}b^0[/tex] = aⁿ
2nd term = [tex]\binom{n}{1}a^{n-1}b^1[/tex] = [tex]n.a^{n-1}b^1[/tex]
3rd term = [tex]\binom{n}{2}a^{n-2}b^2[/tex] = [tex]\frac{n(n-1)}{2}.a^{n-2}.b^2[/tex]
For the binomial expansion initial 3 terms of (2 - ax)ⁿ = 64 - 16bx + 100bx²
Terms of (2 - ax)ⁿ = [tex]2^n+n(2)^{n-1}(-ax)+\frac{n(n-1)}{2}(2)^{n-2}(-ax)^2[/tex]
= [tex]2^n-n(2)^{n-1}(ax)+n(n-1)(2)^{n-3}(a^2x^2)[/tex]
Comparing the terms of both the expansions,
1st term
2ⁿ = 64
2ⁿ = 2⁶
n = 6
2d term
[tex]n(2)^{n-1}(ax)=16bx[/tex]
[tex]6(2)^{6-1}(a)=16b[/tex]
192a = 16b
b = 12a -----(1)
3rd term
[tex]n(n-1)2^{n-3}(a^2x^2)=100bx^2[/tex]
[tex]6(6-1)2^{(6-3)}(a^2)=100b[/tex]
[tex]30(2)^3(a^2)=100b[/tex]
240a² = 100b
b = 2.4a² -----(2)
From equation (1) and (2),
b = 12a = 2.4a²
a = [tex]\frac{12}{2.4}=5[/tex]
From equation (1)
b = 12a = 60
Therefore, n = 6, a = 5, b = 60
the sum of two numbers is 18 their difference is 8
Answer:
13 and 5
Step-by-step explanation:
x+y=18
x-y=8
_____
2x=26
x=13
So the first number must be 13
13+y=18
y=5
And the second number must be 5
When we write out the system of equations, we will get:
x+y=18
x-y=8
We can then use elimination to get just one variable.
x+y=18
+x-y= 8
Which gives us: 2x=26
We then divide by 2 and get: x=13
We next plug that into one of the two equations and solve for the other variable: (13)+y=18
We subtract 13 from both sides and get: y=5
So the two numbers are 13 and 5.
~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )
A hairstylist schedules 14 hour to trim a customer's hair and 16 hour to style the customer's hair. The hairstylist plans to work 3 13 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?
Answer:
40 customers
Step-by-step explanation:
Trimming = 1/4 hours
Styling = 1/6 hours
Working hours per day = 3 1/3 hours
Working days per week = 5
Total work time per week :
3 1/3 * 5 = 10/3 * 5 = 50 / 3 hours
Time taken for styling and trimming :
1/4 + 1/6 = (3 + 2) / 12 = 5/12
Number of appointments stylist can schedule each week :
Total work time / time taken per person
(50 / 3) ÷ (5 / 12)
(50 /3) * (12 /5)
(50 * 12) / (3 * 5)
= 600 / 15
= 40
(-2x) x 8x
Urgent!!
Step-by-step explanation:
multiply both the variable
The prime factorizations of 16 and 24 are shown below. 1 Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2, 3 Using the prime factorizations, what is the greatest common factor of 16 and 24?
o 2
o 2'2
o 2'2'2
o 2'2'2'2'3
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
Write a linear function f with the given values. f(0) = -2,f(4) = -3
А
f(x) = {x+5
B f(x) = x
c f(x) = x-5
D f(x) = 2x - 5
Answer:
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Step-by-step explanation:
Slope of the line: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = [tex]\frac{-3+2}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Ryan has three consecutive scores for math. The sum of these scores is
264. Find his three math scores.
Answer:
88(%)
Step-by-step explanation:
So! We know Ryan has 3 consecutive scores or 3 of the same scores in a row, so we are going to divide 264 by 3!
264 ÷ 3 = 88
So, Ryan got an 88% 3 times!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
determine triangle type?
Answer:
scalene obtuse
Step-by-step explanation:
all sides are different and it has an angle 90 or greater
Answer:
Scalene obtuse I guess?
factor 2x+2y by removing a common factor
Answer:
2(x+y)
Step-by-step explanation:
PLEASEEE PLEASE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answer: 3. Distributive
Step-by-step explanation:
3(x -2y) = 3x - 6y To get from left to rigth, you have to multiply them which is the same as distribitue.
3(x) - 3(2y) = 3x - 6y
g(x) = 32
X + 5
Given:
g(4)
Answer:
g(4)=7
Step-by-step explanation:
1/2(4) = 2
2+5 = 7
g(4)=7
A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form
Select all the true statements about this relation.
Answer:
✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]
✅The relation is a function.
✅The graph of the function is linear.
Step-by-step explanation:
✍️The first statement: The table can be represented by the equation, [tex] y = 4x + 4 [/tex].
To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).
Using two pairs, (1, 8) and (2, 12),
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex].
Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.
Thus:
8 = (4)(1) + b
8 = 4 + b
Subtract 4 from each side
8 - 4 = b
4 = b
Plug in the values of b and m into y = mx + b.
Thus, the equation that represents the table would be:
[tex] y = 4x + 4 [/tex].
✅Therefore, the first statement is correct.
✍️The second statement: The graph of the function is non-linear.
This is NOT TRUE because the equation of the function, [tex] y = 4x + 4 [/tex], represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.
✍️The Third statement: The relation is a function.
This is TRUE because each input value (x-value) has exactly one output value (y-value).
✍️The Fourth statement: The rate of change is NOT constant.
This standby is NOT TRUE.
The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.
Therefore, this statement is not correct.
✍️The Fifth statement: The graph of the function is linear.
This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.
The true statements are:
(a) The equation of the function is [tex]\mathbf{y = 4x +4}[/tex](c) The relation is a function(e) The graph is linear(a) The equation of the function
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{12 - 8}{2 -1}}[/tex]
[tex]\mathbf{m = 4}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x -x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 4(x -1) + 8}[/tex]
[tex]\mathbf{y = 4x -4 + 8}[/tex]
[tex]\mathbf{y = 4x +4}[/tex]
Hence, this statement is true
(b) The graph is nonlinear
Because of (a) above, the graph is linear
Hence, this statement is false
(c) The relation is a function
A linear relation is a function
Hence, this statement is true
(d) The rate of change is not constant
Because of (a) above, the rate of change is constant
Hence, this statement is false
(e) The graph is linear
Because of (a) above, the graph is linear
Hence, this statement is true
Read more about linear relations at:
https://brainly.com/question/7988877
2/3 - 1/5
answer pls
In a school there are 1500 boys and
some are girls. If the number of boys
are 75%, calculate the number of girls
Answer:
Step-by-step explanation:
If there are 1500 total students.
75% or 1125 are boys
25% or 375 are girls.
A student received a 76% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the
total number of questions? A. 20:15 B. 5:20 C. 15:20 D. 20:5
Answer:
A
Step-by-step explanation:
Write 0.00109 ounces in scientific notation
6.2 x 0.6 worth 25 points have a good day!
simplify:29√3(3 – 1)
explain how to get the slope equation for (1,2) and (3,8)
Answer:
8-2/3-1
Step-by-step explanation:
slope equation is y2-y1 over x2-x1 so in that case you would put on top the 8-2 and then for the bottom you would put the 3-1
Which would you simplify in order to evaluate the expression when the value of the variable is 2?
8.9/2
8.9 + 2
8.9(2)
(8.92)
Answer:
C. 8.9(2)Happy to help!
Answer:
C
Step-by-step explanation:
Please help!!!!! Urgent!!!!!
send the answer fast plz with process 18 to 23
18. Perimeter of rectangle = 2(l + b)
l = 16m
b = 12m
Perimeter of rectangular park = 2 (12 + 16)
= 24 + 32
= 56m
Perimeter of square park = 56m
(given that, perimeter of rectangular and square park are equal)
Perimeter of square = 4a
4a = 56
a = 56/4
a = 14m
Area of square park = a²
= 14²
= 196m²
–13x − 15y = –18
to slope intercept form
Answer:
y= - 13/15x + 6/5
Step-by-step explanation:
You are shopping for your holiday feast. The price for
a turkey at Walmart is $12.62 for 10.7 pounds. The
cost for a turkey at Kroger is 8.45 for 8.5 pounds.
Which store has the best unit price for Turkey?
Answer:
Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Step-by-step explanation:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 8.5 pound Turkey at Kroger = $8.45
We need to find store that provides best unit price for Turkey.
We need to find price of 1 pound of Turkey for each store
Price of 1 pound of Turkey at Walmart:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 1 pound Turkey at Walmart = $12.62/10.7
Price of 1 pound Turkey at Walmart = $1.18
Price of 1 pound of Turkey at Kroger
Price of 8.5 pound Turkey at Kroger = $8.45
Price of 1 pound Turkey at Kroger = $8.45/8.5
Price of 1 pound Turkey at Kroger = $0.99
So, Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Two individuals heterozygous for gene Q produced gametes by meiosis, then mated and fertilized one egg. What is the probability that both the egg and sperm will carry the recessive allele?
Answer:
0.25
Step-by-step explanation:
Following the law of segregation which states that only one of the two gene copies noticeable in an organism is diffused to each gamete (egg or sperm cell) and gene allocation is random.
A heterozygous gene for Q = Qq
If these two individuals mate and produce gametes by meiosis,
The probability that both the egg and sperm will carry the recessive allele is determined as follows:
Qq × Qq
Q q
Q QQ Qq
q Qq qq
The probability that both the egg and sperm will carry the recessive allele qq is 25% or 0.25
The Coney Island Boardwalk is 2.7 miles long. A person jogged at the average speed of 6 mph. How long will it take the person to walk the boardwalk to the end and back?
Answer:0.9
Step-by-step explanation:
The speed of an object is defined as the ratio of distance travelled by it to the time taken. It will take a person 0.9 hours to walk end and back .
What is Speed?Speed is the ratio of distance and time. It is a measure of how fast or slow an object is moving. A high speed object takes less time to travel the same distance as compared to a low speed object.
Given length of island is 2.7 miles.
Speed of the person is 6 mph.
Thus total length for travelling end and back 2.7 + 2.7 =5.4 miles.
Time taken = distance/speed
Therefore, time taken by the person is given as, time is 5.4/6 = 0.9 hours.
Hence, the person will have to take 0.9 hours to walk island end and back.
To learn more about speed click on the following link
https://brainly.com/question/28224010
#SPJ2
Name the coordinates of the final image of the figure after the given sequence of
transformations.
(x,y)——> (y,-x)——> (-x,y)
9514 1404 393
Answer:
S''(5, -3)T''(1, 0)U''(4, 1)V''(4, 0)Step-by-step explanation:
The end result after the final transformation is ...
(x, y) ⇒ (-x, y)
so, each x-coordinate is negated. The transformed coordinates are ...
S(-5, -3) ⇒ S''(5, -3)
T(-1, 0) ⇒ T''(1, 0)
U(-4, 1) ⇒ U''(4, 1)
V(-4, 0) ⇒ V''(4, 0)
What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?