Answer:
Step-by-step explanation:
Mean income of 99 people = $ 400
Sum of income of 99 people = 400 * 99 = $ 39600
Income of a woman = $ 1500
Income of 100 people = 39600 + 1500 = $41100
Mean of 100 people = 41100/100 = $411
411 - 400 = $11
Mean income increases by $11
Factor the expression 2x4y – 18x2y3 completely.
A. 2x2y(x2 – 9y2)
B. 2x2y(x – 3y)(x + 3y)
C. 2x2y(x – 3y)2
D. 2x2y(x – 9y)(x + 2y)
Answer:
B
Step-by-step explanation:
[tex]2x^{4}y - 18x^{2}y^{3}[/tex]
Both sides have [tex]x^{2}[/tex]
[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]
Both sides have y
[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]
Both sides have 2
[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]
Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex][tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]
[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]
Final:
[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]
Hope this helps ^-^
The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
What is Factorization?The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.
The given expression is 2x⁴y-18x²y³.
Factor the expression as follows:
2x⁴y-18x²y³
= 2x²y(x² - 9y²)
= 2x²y(x² - (3y)²)
= 2x²y(x + 3y)(x- 3y)
Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
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Use the graph of the function y = (x + 3)(x - 2) to find the
solutions of the quadratic equation 0 = (x + 3)(x - 2).
The solutions of the quadratic equation 0 = (x + 3)(x - 2) are
-6 and 0.
4 and 3.
-3 and 2
-2 and 1.
Answer:
Third option (-3 and 2)
Step-by-step explanation:
You do not need graphs for this necessarily. you just have to build two equations:
0=x+3
0=x-2
if you solve them, the results are:
-3 = x
2 = x
Answer:
option 3 is correct that is (-3,2) is the solution.
Step-by-step explanation:
Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Answer:
StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction
StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction
StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction
Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
There are 20 marbles in a jar. There are 6 red marbles, 3 green marbles, and the rest are purple. What is the probability of getting a purple marble if you take a marble out of the bag
Answer:
55% probability of getting a purple marble if you take a marble out of the bag
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
20 marbles.
6 are red.
3 are green
The rest(x) are purple.
So
6 + 3 + x = 20
x = 11
20 marbles, of which 11 are purple.
11/20 = 0.55
55% probability of getting a purple marble if you take a marble out of the bag
Talk to a 25-year-old business professional who has a graduate degree and who is unmarried. This person can be a family member, friend, or mentor. Describe the savings and investments and risk management strategies this professional has adopted.
Answer and Step-by-step explanation:
A 25 year old business professional with a graduate degree who is unmarried has a broad number of economic strategies he can employ which includes:
1.He should begin a savings account when he gets his first paycheck.
2.He can as well invest in a 401 k retirement account in order to get matching funds from his employer.
3. He can as well invest in high risk stocks that pay a grant dividend reason been that he is single and can afford to take the risk.
Nevertheless He wil probably want to invest in buying a new or used vehicle to provide transportation for himself.
Above all, he must make provides a structured and coherent approach which will help him to easily identify, assess and manage the risk .
Graph a line that contains the point (-7,-4) and has a slope of
2
3
Answer:
y = 2/3x + 2/3
Step-by-step explanation:
just substitute every known value into the parent function on a linear function
y = mx +b
-4 = 2/3(-7) +b
now solve for b (the y-intercept)
-4 = -14/3 + b
-12/3 = -14/3 + b ( made it to same denominator)
2/3 = b
You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?
Answer:
[tex]a_{n}=3^{n}[/tex]
Step-by-step explanation:
We can start solving this problem by making a list of the number of chain emails that are sent on each round:
Round one:
[tex]a_{1}=3[/tex]
which represents the three friends you send the mail to.
Round two:
[tex]a_{2}=3*3=9[/tex]
since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.
Round three:
[tex]a_{3}=3*3*3=9*3=27[/tex]
on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:
[tex]a_{n}=3^{n}[/tex]
which is our final answer.
There are ten dogs at the dog park on a busy Saturday. Two of them are Corgis. What is the probability that a randomly selected dog is a Corgi? Type your answer as a fraction in simplest form.
Answer: 1/5
Step-by-step explanation:
From the question, there are ten dogs at the dog park on a busy Saturday and two of the dogs are Corgis. The probability that a randomly selected dog is a Corgi will be the number of Corgis divided by the total number of dogs. This will be:
Probability (Corgi) = Number of Corgis/total number of dogs.
Probability (Corgi) = 2/10
= 1/5
how do u do this pls help me understand
Answer:
10.8
Step-by-step explanation:
5 times what gives 6? 5 times 1.2
So now you just do 9 times 1.2 which is 10.8
Answer:
10.8
Step-by-step explanation:
5*x=6
5*1.2=6
9*1.2=r
r=10.8
Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.
_______________
| 60 | 105 | 80 | 125 |
| 140 | 95 | 65 | 170 |
----------------------------
please help i have asked this questions 3 times and people keep being like " sorry i need these." or " thx for the points!!!" so please help i don't understand this.
The mean absolute deviation of the data is 30.
Given data:
To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:
Calculate the mean (average) of the data set.
Find the absolute difference between each data point and the mean.
Calculate the mean of these absolute differences.
Given data set: 60, 105, 80, 125, 140, 95, 65, 170
Step 1:
Calculate the mean
Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8
Mean = 840 / 8
Mean = 105
Step 2:
Find the absolute difference between each data point and the mean
|60 - 105| = 45
|105 - 105| = 0
|80 - 105| = 25
|125 - 105| = 20
|140 - 105| = 35
|95 - 105| = 10
|65 - 105| = 40
|170 - 105| = 65
Step 3:
Calculate the mean of the absolute differences
MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8
MAD = 240 / 8
MAD = 30
The mean absolute deviation of the given data set is 30.
Interpretation:
The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.
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-2 x (-7) =
24 divided by (-3) =
Answer:
1) 14
2) -8
Step-by-step explanation:
-2 × (-7) = 14
24 ÷ (-3) = -8
Complete the steps for solving 7 = –2x2 + 10x.
Factor out of the variable terms.
inside the parentheses and on the left side of the equation.
Write the perfect square trinomial as a binomial squared.
Divide both sides by –2.
Use the square root property of equality.
Add to both sides.
Answer:
x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2
Step-by-step explanation:
Let us solve by completing the square;
7 = - 2x^2 + 10x, ⇒ Switch sides,
- 2x^2 + 10x = 7, ⇒ Divide both sides by - 2,
x^2 - 5x = - 7 / 2, ⇒ Write the equation in the form x^2 + 2ax+ a^2, ( x + a )^2, solving for the value of a,
2ax = - 5x,
a = - 5x / 2x,
a = - 5 / 2, ⇒ Add a^2 ⇒ ( - 5 / 2 )^2 to either side of equation,
x^2 - 5x + ( - 5 / 2 )^2 = - 7 / 2 + ( - 5 / 2 )^2, ⇒ Simplify,
( x - 5 / 2 )^2 = 11 / 4,
| x - 5 / 2 | = √ ( 11 / 4 ), Solve for value( s ) of x,
Answer; x = ( √11 + 5 ) / 2, and x = ( - √11 + 5 ) / 2
The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
First, we need to rewrite the equation in standard form:
-2x² + 10x - 7 = 0
Next, we can factor out -2 from the variable terms:
-2(x² - 5x) - 7 = 0
To complete the square, we need to add and subtract the square of half the coefficient of x:
-2(x² - 5x + 25/4 - 25/4) - 7 = 0
Simplifying.
-2((x - 5/2)² - 25/4) - 7 = 0
Distributing the -2 and simplifying further:
-(x - 5/2)² + 25/2 - 7 = 0
Combining like terms:
-(x - 5/2)² + 11/2 = 0
Adding 11/2 to both sides:
-(x - 5/2)² = -11/2
Dividing both sides by -1:
(x - 5/2)² = 11/2
Taking the square root of both sides (remembering to consider both the positive and negative roots):
x - 5/2 = ± √(11/2)
Adding 5/2 to both sides:
x = 5/2 ± √(11/2)
Thus,
The solutions to the equation are x = 5/2 + √(11/2) or x = 5/2 - √(11/2).
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If the front of a playhouse is shown in a scale drawing and the height of the door is 1.8 inches. The scale that maps the drawing is 1 inch to 2.5 feet . What is the actual height in feet of the play house door?
Answer:
4.5 feet
Step-by-step explanation:
Here, we are concerned with calculating the actual height in feet of the door given the scale used in the maps drawing.
In the scale, scale to actual is 1 inch to 2.5 feet
let 1.8 inch scale = x actual feet
Thus mathematically, by cross multiplying; we have;
x = 2.5 * 1.8 = 4.5 feet
Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)
Answer:
Step-by-step explanation:
(3-1)/(-2-3)= -2/5
y - 1 = -2/5(x-3)
y - 1 = -2/5x + 6/5
y - 5/5 = -2/5x + 6/5
y = -2/5x + 11/5
standard form is
5y = -2x + 11
2x + 5y = 11
maya was asked whether the following equation is an identity (2x+3)(x+1) = 2(x+1)^2 + (x+1)
Answer:
Maya is correct.
Step-by-step explanation:
Khan Academy gave me the answer.
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 9ft, and a length of 5ft?
Answer:
1321920
Step-by-step explanation:
happy to help
Answer:
Step-by-step explanation:
[tex]V=whl=9*17*5=765ft^3[/tex]
The total time T (in hours) needed to fly from New York to Los Angeles and back can be
modeled by the equation below, where d is the distance (in miles) each way, a is the average
speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream.
Simplify the equation. Then find the total time to the nearest minute it takes to fly 2468 miles
when a = 512 miles per hour and j = 103 miles per hour.
Answer:
complicated process just think and do the math If I was helpful pls be thnked
Step-by-step explanation:
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\
PLZZ I AM DESPERATE
Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
Lina is 18 and Nick is 6
Step-by-step explanation:
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005\,\text{cm}0.005cm0, point, 005, start text, c, m, end text in diameter, and Eduardo's strand was 0.012\,\text{cm}0.012cm0, point, 012, start text, c, m, end text in diameter. How much greater was the diameter of Eduardo's hair?
Answer:
30x2010x943
Step-by-step explanation:
219x29192
Answer:
0.007
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that
apply.
6*(2+8)
A. 6•(8+2)
B. 6•2+6•8
C. (8+2) •6
D. (6•2) + 8
Answer:
B
Step-by-step explanation:
When you have a number or numbers by parentheses, you take the number outside them and multiply it to each number that is inside the parentheses. In this case you would do 6*2 + 6*8. If I helped, please mark as brainliest! :)
Answer:
A, B, & C are all correct!
Step-by-step explanation:
Which number is composite ??? A.11 B.5 C.9 D.2
Answer:
the correct answer is 9
please help me with this problem !! (will give brainliest
Answer:
(4,3)
Step-by-step explanation:
f(x) = a(x-h)^2 +k is the vertex form of a parabola
where (h,k) is the vertex
f(x) = (x-4)^2 +3
yields a vertex of (4,3)
Answer: The answer is A 4,3
Step-by-step explanation:
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
can someone please help me ill give a brainliest
Answer:
C
Step-by-step explanation:
-
Answer:
yes
Step-by-step explanation:
Mr. Stewart used a gallon of vinegar to make 15 different color egg dipping containers. He used the same amount of vinegar in each container. How much vinegar in gallons was used in each egg dye container?
Answer:
0.067 gallons ( to 2 decimal places)
Step-by-step explanation:
First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:
total volume of vinegar = 1
number of egg dye containers = 15
if equal volume of vinegar was used in each container:
volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)
when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult
Answer 5 ft 4 in
Step-by-step explanation:
2 1/2 + 2 1/2=5 + 4 inches
Kelly is going to shop with the $200.00 that she earned from doing chores. She wants to save 30% of her money to put into a savings account. She buys a sweater for $60.00 and a new coat for $75.00, with 6% sales tax on both items. Does Kelly still have the amount of money she planned to put into her savings account?
Answer:
No she won't
Step-by-step explanation:
200(0.30)=60
60(0.06)=3.6
60+3.6=63.6
75(0.06)=4.5
75+4.5=79.5
79.5+63.6=143.1
200-143.1=56.9
56.9<60
What is the error in the flow chart
there is no flow chart
Answer:
WHAT FLOWCHART?
Step-by-step explanation:
If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
Josh is making a rectangular-shaped picture frame. The length of the frame is to be 5 inches more than twice the width. Which equation models the area, A, of the frame in terms of the width, w?
Answer:
A=2x^2+5x
Step-by-step explanation:
length of frame = 2x+5
width of frame = x
A=lw
A=(2x+5)x
A=2x^2+5x
