Answer:
Perimeter of his fence = 120 m
Step-by-step explanation:
Given:
Area of square land = 3,600 m²
Find:
Perimeter of his fence
Computation:
Area of square land = 3,600 m²
4a² = 3,600 m²
a² = 900 m²
a = 30 m
Perimeter of his fence = 4a
Perimeter of his fence = 4 x 30
Perimeter of his fence = 120 m
Lea solves the equation below by first squaring both sides of the equation.
3+2y=√-y
What extraneous solution does Lea obtain?
y=
Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1
THE CORRECT ANSWER ON KHAN IS -9/4
For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:
(3 + 2y)² = (-y)
Expanding the left side, we get:
9 + 12y + 4y² = -y
Bringing all the terms to one side, we get a quadratic equation:
4y² + 13y + 9 = 0
We can solve this quadratic equation using the quadratic formula:
y = (-b ± √(b² - 4ac)) / 2a
Substituting the coefficients a = 4, b = 13, and c = 9, we get:
y = (-13 ± √(13² - 4(4)(9))) / 2(4)
y = (-13 ± √97) / 8
So the solutions are:
y = (-13 + √97) / 8 or y = (-13 - √97) / 8
Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8
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The ratio of boys to girls in a class is 2:3. There are 30 students in the class. How many more girls than boys are there?
Answer:
there are 18 girls
Step-by-step explanation:
for every 2 boys there are 3 girls
so then you can say 2/5 of the class are boys and 3/5 are girls
and you have to calculate 3/5 of 30 so you have to divide 5 and then multiply by 3 so 30 divided by 5 is 6 the n multiply 6 by 3 and the answer is 18.
Hope this helps
Please help ASAP! (Photo)
Answer:a sq+ b sq= c sq
Step-by-step explanation: add a and b and the answer is c
Rewrite, using the distributive property. -3(20 + -29d) = [?] + [ ]d
Answer:
-60+87d
or
87d-60
Step-by-step explanation:
-3(20+-29d)=
-60+87d
A cookie factory puts 2/5 of a barrel of flour into each batch of cookies. How much flour will the factory use for 5 batches?
Answer:
they would use 2 barrels of flour. or 10/5
Step-by-step explanation:
Answer:
2 barrels
Step-by-step explanation:
Just multiply 2/5 by 5
Hope it helps ^,^
Plz answer correctly! thnx! :)
I need help with this, please!
Answer:g(x)=-x/2-6
Step-by-step explanation:plug it in
What is the product?
(6) (negative 12)
–82
–72
72
82
Answer:
-72 is the answer.........
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
2x+10=6(x-1) What does x equal
Answer:
x=4
Step-by-step explanation:
2x+10=6(x-1)
2x+10=6x-6
10=6x-2x-6
10=4x-6
16=4x
4=x
Determine whether the samples are independent or dependent. Upper A data set includes the age at marriage for 90 randomly selected married men and 90 randomly selected married women. nbsp Choose the correct answer below.
A. The samples are independent because there is a natural pairing between the two samples.
B. The samples are dependent because there is a natural pairing between the two samples.
C. The samples are dependent because there is not a natural pairing between the two samples.
D. The samples are independent because there is not a natural pairing between the two samples.
Answer:
D. The samples are independent because there is not a natural pairing between the two samples
explanation:
Independent samples do not affect each other as each group is selected randomly. They are common in statistical analysis, example: when there is a control group and an experimental group and the subjects for each group are different. In the above example, the samples do not depend on each other. There are 90 randomly selected married men in one group and 90 randomly selected married women in the other. The subjects are different in the two groups and so they do not affect each other. This is unlike dependent/paired samples where for example same subjects are used before and after a medication and therefore each group affects the other.
1. Write an equivalent
expression for
3x + 12 +7x + x
Answer:
11x+12
Step-by-step explanation:
combine like terms
1/3 of a number is 4 less than 1/2 of the number, the number is
Answer:
12
Step-by-step explanation:
1/2x=3/4x−3⇒2x=3x−12⇒x=12
through (4,-3) parallel to y=-2x
Answer:
y = -2x + 5
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope would be -2.
Because we have a coordinate point and the slope of the line, we can figure out the equation by using the point slope formula:
( y - y1 ) = m( x - x1 )
( y - ( - 3 ) ) = -2 ( x - 4 )
y + 3 = -2x + 8
y = -2x + 5
The equation of the line is y = -2x + 5
How to calculate the H-Method of
f(x)= -2,5x² x0=4 ?
I really have no clue
Answer:
Yotmpocoa ngo ni ideate
Step-by-step explanation:
state the slope and a point on the line y - 18 = 71.3(x +98)
explain how you got your answer
Answer:
slope = 71.3 and a point (0, 7005.4)
Step-by-step explanation:
the slope in an equation of the form y = mx+b, m is the slope so multiply 71.3 through the brackets and then add 18 to both sides and that is the equation in y=mx+b format and 71.3 is the slope and b os the y-intercept which turns out b=7005.4 and since its a y-intercept x = 0
Answer:
The slope is 71.3 and the point on the line is (h, k): (-98, 18)
Step-by-step explanation:
y - 18 = 71.3(x +98) is to be solved for the slope and a point on the line represented by this equation.
Refer to the point-slope formula y - k = m(x - h), where (h, k) is a point on the ine and m is the slope of the line.
Comparing y - 18 = 71.3(x +98) to
y - k = m(x - h),
we readily see that k = 18, h = -98 and m = 71.3
The slope is 71.3 and the point on the line is (h, k): (-98, 18)
The elevations, in feet, of three citites are marked on the number line shown below. The point 0 on the number line represents sea level. Which statement is true?
Answer:
cityQ
Step-by-step explanation:
City Q is located at the sea level
The statement that should be true is
City P is above sea level and City Q is below sea level.
What is the number line?The word "number line" in mathematics refers to a straight line where a number should be positioned at similar intervals or segments along with its length.
Given:
The point 0 on the number line represents sea level.
As, It should be presented in a horizontal style and be infinitely in any direction.
As a result, option c should be the statement that is true. City Q is below sea level, but City P is above it.
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A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after x hours. Find h(3.25).
Answer:
16.6
Step-by-step explanation:
In 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.
What is the general form of a linear function?The general form of a linear function is given as follows -
y = kx
or
y = kx + c
Given is a swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after [x] hours.
The linear function that represents the amount of water in the pool after [x] hours is given by -
h[x] = 600x
Now, for x = 3.5, the amount of water in the pool will be -
h[3.25] = 600 x 3.25 = 1950 gallons of water.
Therefore, in 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.
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NEED HELP ASAP!!!!!!! WILL GIVE BRAINLIEST!!!!!!
Rectangle ABCD is in the coordinate plane. Which of the following is a valid definition of a reflection of rectangle ABCD?
A. Every point X on ABCD is mapped to a new point X′ such that each length from X toX′ is the same.
B. Every point X on ABCD is mapped to a new point X′ such that the distance from X to the line of reflection is the same as the distance from X′ to the line of reflection.
C. Every point X on ABCD is mapped to a new point X′ such that the coordinates of X′ are opposites of the coordinates of X.
D. Every point X on ABCD is mapped to a new point X′ such that one coordinate of X′ is the same as in X and the other coordinate of X′ is the opposite of the other coordinate in X.
The definition of a reflection of rectangle ABCD is option D:
"Every point X on ABCD is mapped to a new point X' such that one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X".
When a reflection occurs, each point on the original shape is mapped to a new location on the reflected shape.
Option A states that every point X on ABCD is mapped to a new point X' such that each length from X to X' is the same. This definition does not capture the essence of a reflection because it doesn't consider the relationship between the original shape and its reflection.
Option B states that every point X on ABCD is mapped to a new point X' such that the distance from X to the line of reflection is the same as the distance from X' to the line of reflection.
Option C states that every point X on ABCD is mapped to a new point X' such that the coordinates of X' are opposites of the coordinates of X.
Option D correctly captures the nature of a reflection. This states that each point X on ABCD is mapped to a new point X' where one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X.
Therefore, option D is the valid definition of a reflection of rectangle ABCD.
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What is -3 4/9 • 5 2/5
See attachment for answer.
The answer is -93/5.
Plz help me answer this question
Answer: 4/5 - 2
Step-by-step explanation:
Simply put it into a graphing calculator
Which of the following quadratic equations has no real solution?
A) x^2-6x-2=0
B) 4x^2+4x+1=0
C) x^2+3x-5=0
D) 2x^2-4x+3=0
If I charged 30$ a hair cut the whole year how many customers would I need to have to get 17,510$ and how many times would my customers have to see me within that year
Answer: Around 584 people would have to get a haircut at 30$, if you are looking for 17,510$
Step-by-step explanation:
if the original price was $19.99, estimate the new price by first rounding the original price
Answer: $20.00
Step-by-step explanation:
Answer:
When rounded the answer will be $20.00.
Step-by-step explanation:
what is what3 2/3 - 3/5 as a fraction plz give awnser
Answer:
55/15-9/15=46/15 or 3 1/15
Step-by-step explanation:
Answer:
46/15 or 3 1/5
Step-by-step explanation:
Hope this helps and have a Great Day :)Type your solution as an ordered pair.
Answer and Step-by-step explanation:
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Hi there! This is what the graph should look like: (Look at the picture attached)
We can see that the solution to the equation is (3, -2) because this is where the lines intersect.
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#teamtrees #WAP (Water And Plant)
Solve the system of linear equations by substitution. x=16−4y 3x+4y=8
Answer:
Solution: (-4,5)
Step-by-step explanation:
x=16-4y
3x+4y=8
-----
The 1st equation tells you x = 16-4y
---
Substitute that into the 2nd equation
and solve for "y":
3(16-4y)+4y = 8
48 - 12y + 4y = 8
-8y = -40
---
y = 5
---
Solve for "x"
x = 16-4y
x = 16-4*5
x = 16-20
x = -4
The given system of equations has (-4, 5) as its solution.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following system of equations -
x = 16 - 4y
3x + 4y = 8
Now, we can write -
3x + 4y = 8
3(16 - 4y) + 4y = 8
48 - 12y + 4y = 8
40 = 8y
y = 5
Then, we can write -
x = 16 - 20
x = - 4
Therefore, the given system of equations has (-4, 5) as its solution.
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The image below shows the download speed of three different companies. Use the information to answer the questions.
Complete questions 1-5 in order.
1) What is the download speed in MB per minute for AT&T?
2) What is the download speed in MB per minute for Bidmore?
3) What is the download speed in MB per minute for Comcast?
4) Who has the best download speed? Explain your choice.
5) All these equations show proportional relationships. Bid more's graph is shown, what would the other two graphs look like for AT&T and Comcast?
They will go through _________and be a __________line.
Answer:
1) The download speed for AT&T is 1,800
2) The download speed for Bidmore is 1,500
3) The download speed for Comcast is 1,680
4) AT&T has the best download speed out of the three.
5) They will go through the origin and be a proportional line.
Step-by-step explanation:
Lyla is rounding some numbers to the nearest tenth. Select the number that will have an 8 in the tenths place after rounding.
A. 5.74
B. 6.08
C. 7.79
D. 8.86
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
if u round 7.79 it will be 8 because 7 is greater than 5
Tasnia had a piece of ribbon that was 6 ½ yards long. She used this ribbon to make bows. Each bow was made from a piece of ribbon that was ⅓ yard long. This situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½ . Which statement best describes what the quotient 19 ½ represents?
Answer: the number of bowss that can be made.
Step-by-step explanation:
You didn't give the options but let me help out.
We are told that Tasnia had a piece of ribbon that was 6 ½ yards long and that she used this ribbon to make bows. We are further told that each bow was made from a piece of ribbon that was ⅓ yard long and that this situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½.
The quotient gotten above simply means the number of bowss that can be made.