The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.
Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.
From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.
To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.
Using these two points, the slope of the line of best fit is:
slope = (change in y) / (change in x)
slope = (200 - 0) / (0 - 1600)
slope = -0.125
Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.
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PLEASE HELP GIVING BRAINEST AWNSER AND ITS WORTH 85 points
Five new students join the Chess Club. The
club president schedules games so that each
of the new members plays a game against
each of the other new members. How many
games does the president schedule?
F 25
H 10
G 20
J 5
Answer:
H. 10
Step-by-step explanation:
We can write down all the games that can be played (I'm going to use a, b, c, d, and e to symbolize the players)
ab, ac, ad, ae, bc, bd, be, cd, ce, de
As you can see, there are 10 games that are going to be played.
Best of Luck!
Answer:
10 gamesStep-by-step explanation:
There are 5 new members.
The first member plays the rest 4The second - 3 The third - 2The fourth - 1Total number of games:
4 + 3 + 2 + 1 = 102. CHARITY Luis was in charge of collecting money for
a group of charities. He collected $979 for11charities.
If the money was divided evenly, how much was
given to each charity?
Help me !!
Answer:
89$ for 11 Charities
Step-by-step explanation:
I. If Luis has $979 and he wants to give it to 11 charities right?
So [tex]\frac{979}{11}[/tex]
= 89$
4,540,597 to the nearest million
Answer:
Hi, there! The correct Answer Is Below
4,540,597 Would Round To 5,000,000
Step-by-step explanation:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
________________________________________________________
-Darkspirit-
Answer:
Step-by-step explanation:
The hundred thousands digit is 5 so it is 5,000,000.
During a walk on a trail, Rose walked a total of 3,674 steps. Assume that she takes the same number of steps each time she
walks this same trail and that she walks this same trail 11 times. Estimate the number of steps Rose would take after all 11
walks.
Round each walk to the nearest hundred steps before calculating.
Answer:
40,790 steps
Step-by-step explanation:
3674 rounds to 3700
3700*11 = 3700*10+3700*1 = 37000+3700 = 40,790
Answer:
Step-by-step explanation:
3.674 is rounded to 3,700 steps every 11 walks.
3,700 x 11 Walks= 40, 700
2(5x-4)-x-3(3x-1)
simplified
Answer:
x=-5
Step-by-step explanation:
2(5x-4)=10x-8
-3(3x-1)=-9x+3
10x-8-9x+3
x=-5
The answer you are looking for is -5.
Writing out the equation,
2(5x-4)-x-3(3x-1)
Using the Distributive Property for 2(5x-4) and -3(3x-1),
10x-8-x-9x+3
Using the Associative Property,
10x-x-9x-8+3
Simplifying the similar terms,
9x-9x-8+3
Canceling both "9x" terms, since 9x-9x is obviously 0,
0-8+3, or simply just -8+3.
-8+3=-5
So, therefore the final answer is -5.
I hope that this has helped you. Enjoy your day, and take care.
What effect does replacing x with x - 4 have on the graph for the functionſ (x)?
f(x) = |x – 6| + 2
Step-by-step explanation:
The graph is shifted 4 units left.
The graph is shifted 4 units right.
The graph is shifted 4 units up.
The graph is shifted 4 units down.
Please help!!!!!
what is 20% of 35
Answer:
7
Step-by-step explanation:
2.6 a simplified fraction and the 6 is a repeating decimal
The coordinates of point T are (0,6). The midpoint of ST is (3, -4). Find the coordinates of point S
Answer:
S = (-8, 0 )
Step-by-step explanation:
help whhhahahahaha Helpppppppp
Answer:
320/420 = 4/3
Step-by-step explanation:
4/7= x /560
Cross multiply
7x = 2240
Divide by 7:
x=320
The school has 320 boys and 240 girls
I hope this helps u:)
Answer:
Problem(1): [tex]21[/tex]
Problem(2): Side length = [tex]\frac{1}{4}[/tex] Area = [tex]\frac{1}{16}[/tex]
Problem(3): Boys = [tex]320[/tex] Girls = [tex]240[/tex]
Step-by-step explanation:
(Notes steps are cut from this answer so that it isn't too long)
1. Problem (1)
One is given the following information:
[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.
[tex]x+\frac{1}{x}=5[/tex]
Multiply the entire equation by (x),
[tex]x^2+1=5x[/tex]
Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,
[tex]ax^2+bx+c=0[/tex]
Put the given equation in this format,
[tex]x^2-5x+1=0[/tex]
Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]
Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,
[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex] [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]
[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]
Convert to a common denominator,
[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]
[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex] [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]
Simplify,
[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex] [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]
[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex] [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]
[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex] [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]
[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex] [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]
[tex]21[/tex]
2. Problem (2)
All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,
[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]
The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:
[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]
3. Problem (3)
Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,
[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]
Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,
Boys, Girls,
[tex]4(x)[/tex] [tex]3(x)[/tex]
[tex]4(80)[/tex] [tex]3(80)[/tex]
[tex]320[/tex] [tex]240[/tex]
WILL MARK BRAINLIEST !!! HELP !
the triangles below are similar use what you know about similar triangles to find the missing side length
More help Pls (am also giving away points).
Answer:
But where is the question???????
a die is rolled find the probability of rolling a multipul of 5
Answer:
1/6
Step-by-step explanation:
It's 1/6 because the only multiple of 5 in a die is 5, so it will be 1/6.
Describe how to use a random number generator to simulate the following performances
a) A basketball player has the ability to make 40% of his shots and takes 25 shots in one game.
b) A basketball player has the ability to make 75.2% of her free throw shots and she takes 8 free throws in a game.
Answer:
random number generators return numbers from 0 to 1...
a) generate 25 random numbers if the number x is ≤ .4 he makes the shot
otherwise he misses
a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss
otherwise he misses
Step-by-step explanation:
Convert 6 kilograms into pounds. Round your answer to the nearest tenth.
[tex]\boxed{\sf 1kg=2.205lbs}[/tex]
[tex]\\ \sf\longmapsto 6kg[/tex]
[tex]\\ \sf\longmapsto 6(2.205)[/tex]
[tex]\\ \sf\longmapsto 13.23lbs[/tex]
Evaluate the expression.
5 x -3 + 2
Answer:
5x-1
Step-by-step explanation:
solution
5x-3+2
or, 5x-1
the ratio of 3 less than k to 2 more than k
We will find that the ratio of 3 less than k to 2 more than k is:
(k - 3):(k + 2)
The ratio between two numbers A and B can be written as:
A:B
This is the ratio of A to B
and
B:A
Is the ratio of B to A.
Then for the ratio of 3 less than k to 2 more than k we have:
"3 less than k" is: k - 3
"2 more than k" is: k+ 2
Then the ratio is:
(k - 3):(k + 2)
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499 rounded to the nearest ten is
510
500
490
Answer:
500
Step-by-step explanation:
Since we are rounding to the tens place, that is the second value in the number 499. Remember these details when rounding;
4 and below round down5 and above round upSince we have a 9, we round up get and 500.
Best of Luck!
Answer:
499 rounded to the nearest tenth is 500.
Step-by-step explanation:
499 rounded to the nearest tenth is 500 because, every tenths place is + 10
the closest tenth 499 is closest to would be 500.
Hope this helped :)
The sum of 10 and a number x
Answer:Complete the question pls
Step-by-step explanation:
is the expression 5+3x/2 equal to the expression 4x
Answer:
No
Step-by-step explanation:
[5+3x] is an expression that cannot be added because 5 is a natural interger but 3x is an unknown
and therefore it cannot be divided by 2 to get 4
Better example :
if the question will give 4x , then
it should be [5x+3x]/2 = 8x/2 = 4x
it's obvious from the example I gave that 8x can be divided by 2 to give 4x
Is the expression 2•4 equal to the expression 8x? Explain your answer
9514 1404 393
Answer:
no
Step-by-step explanation:
The expression 2·4 has the value 8.
The expression 8x has the value 8x, which is only equal to 8 when x=1. In general, x may have any value, so the expressions are not equal.
The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which graph could represent the relationship between t, time in seconds, and s, speed in meters per second? A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 10 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 0 to 4 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line increases from 0 to 4.5 seconds. A graph shows dropping time (seconds) labeled 1 to 10 on the horizontal axis and object speed (meters per second) on the vertical axis. A line decreases from 1 to 9 seconds.
Answer:
Since the guy on top was so difficult the answer is A
Step-by-step explanation:
Edge 2021
Answer: Option A if your doing Edge.
Step-by-step explanation:
none
What does 2:6 = 14:_______
Answer:
14:42
Step-by-step explanation:
As we got 2 to get to 14, that means that we need to times by 7. Then we times the 6 by 7 to get the answer of 42.
How to find a domain and range and express it in a function
Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .
Step-by-step explanation:
For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.
There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Chery need to make the green slimerecipe 15 time?
how much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Answer:
5
Step-by-step explanation:
divide the distance by the rate of speed
5/1=5
Answer:
5 seconds.
Step-by-step explanation:
It is given that the gradient of a straight line which passes through M(h,3) and N(-2,-9) is 2, calculate the value of h.
Answer:
h = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) = N (- 2, - 9 )
m = [tex]\frac{-9-3}{-2-h}[/tex] = [tex]\frac{-12}{-2-h}[/tex] , then
[tex]\frac{-12}{-2-h}[/tex] = 2 ( multiply both sides by - 2 - h )
2(- 2 - h) = - 12 ( divide both sides by 2 )
- 2 - h = - 6 ( add 2 to both sides )
- h = - 4 ( multiply both sides by - 1 )
h = 4
15 = [tex]\frac{5}{3}[/tex] (x + 12)
Answer:
x = -3
Step-by-step explanation:
15 = 5/3 (x + 12)
Multiply each side by 3/5 to clear the fraction
3/5 *15 =3/5 *5/3 (x + 12)
9 = x+12
Subtract 12 from each side
9-12 = x+12-12
-3 =x
Answer:
15 = 5/3(x + 12)
Using distributive law
15 = 5x/3 + 20
15 = 5x + 60/3
15 × 3 = 5x + 60
45 = 5x + 60
45 - 60 = 5x
-15 = 5x
-15/5 = x
-3 = x
If your car gets 34 miles per gallon, how much does it cost to drive 420 miles when gasoline costs $3.30 per gallon?
Answer:
$40.76, if rounded then $40.80.
Step-by-step explanation:
you do 420 times 3.30 divided by 34
16. A perfect number is one for which the sum of the proper divisors is
equal to the number. (The proper divisors are the ones that are less than
the number and divide evenly into the number.) For instance, 496 is a
perfect number. The proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124,
and 248. The sum of the divisors is
1 + 2 + 4 + 8 + 16 +31 +62 + 124 + 248 = 496.
Find a perfect number between 20 and 30.
I
SECTION
a. Anita and the owner of the utility stock purchased their shares
through an online brokerage, whereas Tony and the owner of the au-
tomotive stock did not.
b. The gain in value of Maria's stock is twice the gain in value of the au-
tomotive stock
c. The technology stock is traded on NASDAQ, whereas the stock that
Tony bought is traded on the New York Stock Exchange.
Answer:
Step-by-step explanation:
16. Use Euclid Perfect Number formula:
If [tex]2^{n} -1[/tex]a a prime number, then [tex]2^{n-1}(2^{n} -1)[/tex] is a perfect number. 6 is a perfect number when n=2 Let try when n=3
[tex]2^{2} (7)=28[/tex]
So 28 is a perfect number