Answer:
[tex]=2x^2+3xy-2y^2[/tex]
Step-by-step explanation:
When given the following problem;
[tex](2x-y)(x+2y)[/tex]
Distribute, multiply every number in one of the parenthesis by every number in the other;
[tex](2x-y)(x+2y)\\=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)[/tex]
Simplify,
[tex]=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)\\=2x^2+4xy-xy-2y^2\\=2x^2+3xy-2y^2[/tex]
Therefore, the final answer is;
[tex]=2x^2+3xy-2y^2[/tex]
Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)
… = 10⁷ (100 + 10 + 1)
… = 10⁷ × 111
… = (2 × 5)⁷ × 111
… = 2⁷ × 5⁷ × 111
… = 2⁷ × 5⁶ × 555
Can someone help with this
Answer:
Step-by-step explanation:
[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]
Mean = 3.95
B) To find the median, arrange the data in ascending order
3.3 ; 3.6 , 3.8 ; 3.8 ; 4.1 ; 5.1
As number of data is even, median = Average of (n/2)th term and (n/2)th term +1
= Average of 3 and 4th term
[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]
Median = 3.8
C) 3.8 occurs two times.
So, Mode = 3.8
d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase
e) If April (3.8) is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase
If April is deleted from chart, there will be no change in median.
Still median will be 3.8 only
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
Step-by-step explanation:
The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)
The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)
Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;
W(-4, 2) rotated 180° about the origin gives W'(4, -2)
X(-3, 4) rotated 180° about the origin gives X'(3, -4)
Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)
Z(0, 2) rotated 180° about the origin gives Z'(0, -2)
Therefore, we get;
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).
Answer:
Its A
Step-by-step explanation:
i just took the test.
find the positive square of 7.3441
Answer:
find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.
Step-by-step explanation:
The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0
Answer:
8 and 1
Step-by-step explanation:
The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.
8-1=7
4-5=-1
6-3=3
9-0=0
And just to double check, we try adding 8 and 1, which is 9! Yay! :P
A triangle has two sides that measure 7 centimeters and 16 centimeters, respectively. Which statement is true about x, the length in centimeters of the third side?
7 16
x<9orx>23
Answer:
9<x<23
Step-by-step explanation:
I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.
x+7>16
x+16>7
16+7>x
=>
x>9
x>-9
x<23
=>
9<x<23
A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)
Answer:
the probability is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
there are 4 numbers on a 12 sided die that can be divided by 3: 3, 6, 9, and 12.
so the probability would be [tex]\frac{4}{12}[/tex], or [tex]\frac{1}{3}[/tex]
Using the concept of probability. The chances of having a value which is divisible by 3 is 1/3
Recall :
Probability = required outcome / Total possible outcomesTotal possible outcomes = Sample space = 12
Required outcome = numbers divisible by 3 :
(3, 6, 9, 2) = 4 outcomesP(number divisible by 3) = 4 / 12 = 1/3
Therefore, the probability of having a number which is divisible by 3 is 1/3
Learn more : https://brainly.com/question/18405415
What is the coefficient of x^8 in the expansion of (x+4)^12 ?
Can someone help me with this question and show me how to solve them pleases?
Answer:
126720x⁸
Step-by-step explanation:
explanations are in the images above .. you can reach me personally for expanded help
Question 14 (5 points)
Which of the following is equivalent to cos (23º)?
cos (90°)
sin (67°)
sin (23°)
cos (67°)
Answer:
Sin (67°)
Step-by-step explanation:
Cos (23°) = sin(90-23) = sin (67°)
Answered by GAUTHMATH
Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.
What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)
$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean
what is median: The median is the value separating the higher half of a data sample
40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.
What is Mode: the number that repeats the most
Mode is 40 because 40 repeats twice
express 3 as a percent of 5
Answer:
0.15
Step-by-step explanation:
first get three percent:
3/100 = 3%
then use of operation:
3% of 5;
= (3/100) * 5
Answer:
60%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , then
[tex]\frac{3}{5}[/tex] × 100% = [tex]\frac{3(100)}{5}[/tex] = [tex]\frac{300}{5}[/tex] = 60%
[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Multiply straight across and reduce.
[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]
can someone help me with this please
Answer:
for question B
2A 3C = 70
70-15 = 55/5 = 11.
so each child is 11
while adult 11 + 7.50 = 18.50
A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?
Answer:
3x + (x/2) *2
Step-by-step explanation:
The distance for the first 3 hours is rate times time
x *3
The distance for the next 2 hours is rate times time
x/2 *2
Add them together to get the total distance
3x + (x/2) *2
Can someone help me understand what I'm supposed to look for in a simple way?
Answer:
I need help on this too!
There are many examples, you can write anyone:
Vertical angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Linear pair
∠2 and ∠4
∠4 and ∠3
∠3 ans ∠1
∠1 and ∠2
∠6 and ∠8
∠8 and ∠7
∠7 and ∠5
∠5 and ∠6
Congruent angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.
Select one:
a. 18
b. 6
c. 36
d. 12
Answer:
a. 18
Step-by-step explanation:
AB+BC = AC
x + x = 36
2x = 36
x = 36/2
x = 18
hi can you help me in mate plis simplify the following algebraic expressions
Answer:
[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]
Step-by-step explanation:
I have attached the explanation above. hopefully this will help
What is the equation of the following line written in general form?
Answer:
The first option
Step-by-step explanation:
[tex]4x + 5y - 34 = 0[/tex]
Find the measure of the indicated angle
Answer:
[tex]given\Longrightarrow AB=AC[/tex]
[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]
[tex]\angle~A+\angle~B+\angle~C=180[/tex]
[tex]x+60+60=180[/tex]
[tex]x+120=180[/tex]
[tex]x=180-120[/tex]
[tex]x=60[/tex]
-------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
sketch the graph of xy = 3y² - 4
Answer:
xy = 3y² - 4
Step-by-step explanation:
Hope it is helpful....
In the file i have attached, you will find the equation graphed, hope this helps.
Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answer:
2/6 chance the dice be rolled to the total of 12
Chứng minh a=(P.sinA/2)/(cosB/2.cosC/2)
Answer:
I can't understand your question friend.
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?
Answer:
$20
Step-by-step explanation:
5 copies cost $1.
25 copies cost $5.
So you have to do 100/5=$20 for 100 copies.
Answer:The answer is 20
Step-by-step explanation:
Integrate with respect to x
-2/3√((2-5x)^3)
Hello,
[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]
If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
Answer: 40
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts we have
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 20 lemons are cut by half.
cut half of these halves by half.
We need to find how many lemon parts will you have.
Let us consider a lemon whic is 1
Now let us make it half 1/1/2=2
Now each part is divided to half =2/(1/2)=4
So for one lemon it has 4 parts.
Now let us find for 20 lemons.
Multiply 20 with 4
20×4
80 parts
Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts will you have
To learn more on Division click:
https://brainly.com/question/21416852
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Help with math question
Answer:
z=4x
=14y10
Step-by-step explanation:
this is the answer
Help me to do this question plz plz plz
Answer:
area of parallelogram=base *height
Answer:
area =36cm²
Step-by-step explanation:
area of parallelogram= b×h
9×436cm²hope it helps stay safe healthy and happy..Nissa is going to plant 485 485485 trees this year. If Nissa plants 5 55 orchards of trees, how many trees will be in each orchard?
Answer:
There will be 97 trees in each orchard.
Step-by-step explanation:
Given that,
Nissa is going to plant 485 trees this year.
Nissa plants 5 orchards of trees.
We need to find the number of trees in each orchard. Let it is n. So, we can find it as follows :
[tex]n=\dfrac{485}{5}\\\\n=97[/tex]
So, there will be 97 trees in each orchard.