A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
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,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
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Find the discriminant: *
7x2 – 5 = 2x + 9x2
Answer:
-36
Step-by-step explanation:
You have to rearrange the quadratic into an equation where one side is zero.
This example works by subtracting 7x^2 from both sides leaving
-5 = 9x^2 - 7x^2 + 2x
-5 = 2x^2 + 2x
Now add 5 to both sides
-5 + 5 = 2x^2 + 2x + 5
0 = 2x^2 + 2x + 5
Now the equation you gave is in the form of a quadratic. The discriminate is found from
a = 2
b = 2
c = 5
b^2 - 4ac is the discriminate
2^2 - 4(2)(5)
4 - 40
Discrimate = 4 - 40 = - 36
Two trains leave the same station at the same time
and travel in opposite directions. One train travels
at 80 kilometers per hour and the other at 100
kilometers per hour. In how many hours will they
be 900 kilometers apart?
2 hours
3 hours
4 hours
5 hours
Answer:
D. 5 hoursStep-by-step explanation:
rt=d
rt+rt=900
80t+100t=900
180t=900
18t=90
2t=10
t=5
5 hours
80*5+100*5=900
How do you solve this
Answer:
3.76 × 10^4
Step-by-step explanation:
1. Work out what they are.
1.26 × 10^4 = 12600 (check your calculator to see if I'm right)
To get this, I multiplied 1.26 by 10,000. This is because 10^4 is 10000 (it has 4 zeros). Or you could move the decimal point forward 4 spaces.
2.50 × 10^4 = 25,000
By doing the same thing above.
2. Add them together
12,600 + 25,000 = 37,600
3. Change the answer into its scientific notation
To do this we need to divide 37,600 by a number to make it less than 10, but still keeping the digits. This always ends in zeros by the way (e.g. 100, 1,000, 100,000).
37600 ÷ 10,000 = 3.76
Next:
Scientific notations always have times 10 to the power of something (× 10^x). So we put that in:
3.76 × 10^x what is x?
x is the number of of times you multiply by 10 to get back to 36700. This is 4 times.
(This is the same as multiplying by 10,000 as it has 4 zeros. This is also the same as moving the decimal point 4 spaces)
So your final answer is: 3.76 × 10^4
Please help quickly
Answer:
41.47
Step-by-step explanation:
So to find the price after the discount, multiply 48 by 0.8
38.4
To find the amount after tax, multiply by 1.08
41.472 ≈ 41.47
Answer:
$41.47
Step-by-step explanation:
Original price: $48.00
Discount: 20%
20% of $48 = 20% * $48 = 0.20 * $48 = $9.60
Price after 20% discount = $48.00 - $9.60 = $38.40
Tax: 8%
8% of $38.40 = 0.08 * $38.40 = $3.07
Price after tax: $38.40 + $3.07 = $41.47
Answer: $41.47
Can someone help me on this math question?
Answer: 155º I think
What is x ?
f(x)=−3
x = ?
Marcus can carry a maximum of 25kg of gravel at one time
How many joumeys will he need to make to shift one and
half tonnes of gravel?
Answer: 60 journeys
Step-by-step explanation:
1 ton = 1000 kgs
1.5 tons = 1500 kgs
1500/25 = 60 journeys
Answer:
55 journeys.
Step-by-step explanation:
907185 gm = 1 ton
453592.5 gm = 1/2 ton
1360777.5 gm = 1 1/2 ton
Convert to kg (1000g= 1kg)
Then divide by 25kg
=1360.7775/25 = 54.4311
Round up decimal to 1
= 55 journeys
Can you help me please. Hint it's not 18!!!!!✌✌
Answer:
14
Step-by-step explanation:
15 × 2 = 306 × 2 = 12That gives you 5/15 remaining for the 30/35 which is 1/31/3 of six is 2that would be 12 + 214 would be the amount of red paint neededAnswer: it is b
Step-by-step explanation: because you are trying to find the total of red paint
A = {1, 2, 5, 7} B = {3, 4, 6, 7} C = {0, 5, 8, 9} Find A∩B. A) {1,2,3,4,5,6,7} B) {1} C) {2,3,4,5} D) {7}
Answer:
The answer is option D.
A n B is { 7 }
Hope this helps.
Which of the following is the graph of y= -x-3?
Answer:
Step-by-step explanation:
A deck of cards has 3 pink, 6 purple, and 4 green cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked
P(the first card is green and the second card is -purple)
With explanation
Answer:
2/13
Step-by-step explanation:
So firstly, know that there are 13 cards in the deck (3 + 6 + 4).
Therefore, the probability of drawing a green is 4/13.
After you draw the green card, there will be 12 cards left. Therefore, the probability of drawing a purple card next is 6/12.
To find compound probability, multiply the probabilities of the two separate events happening together:
4/13 * 6/12
= 2/13
Hope this helps! Please contact me if you have any questions :)
Interpret the average rate of change of -14/3 that
you found previously. What does this mean in
terms of the waterslide, from x = 0 to x = 15?
Answer:
On average, the slide drops 14 feet for every 3 feet of horizontal distance.
On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
It is given in the question that Interprets the average rate of change of -14/3 that you found previously.
On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.
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From a point P, a boy observe that the angle of elevation of the top of a pole is 45, if the height of the
pole is 15 m, find the distance of P from the foot of the pole.
Please help
Answer:
15m
Step-by-step explanation:
The pole is perpendicular to the floor and the angle of elevation is 45. Thus, it forms a right-angled, isoceles triangle. So the distance from point P to the bottom of the pole is equal to the height of the pole, which is 15m
!!! Help
What is the measurement of angle A to the nearest degree???
Answer:
51 = A
Step-by-step explanation:
Using the law of sines
sin 95 sin A
------------- = -----------
9 7
Using cross products
7 sin 95 = 9 sin A
Divide each side by 9
7/9 sin 95 = sin A
Take the inverse sin of each side
sin ^-1 ( 7/9 sin 95) = A
50.78854367= A
To the nearest degree
51 = A
A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?
A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)
Answer:
Step-by-step explanation:
8 -x = 13 - 2x
x + 8 = 13
x = 5
y = 8 - 5
y = 3
(5, 3)
9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)
Answer:
B. (2,5)
Step-by-step explanation:
Given
Points: (6,3), (-2,7)
Required
Midpoint
Midpoint is calculated as follows:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where
[tex](x_1,y_1) = (6,3)[/tex]
[tex](x_2,y_2) = (-2,7)[/tex]
So,
[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]
By substituting these values in the given formula
[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]
[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]
[tex](x,y) = (2,5)[/tex]
Hence, the midpoint of the line segment is (2,5)
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
1. The table shows the number of miles
two salespeople drove each day for work
last week.
Mr. Smith
128
150
118
85
166
Miles Driven
Day Ms. Johnson
Mon.
115
Tue.
97
Wed.
86
Thu.
48
Fri.
181
Sat.
127
25
Select THREE sentences that are true.
A. Mr. Smith drove 6 miles per day
more than Ms. Johnson.
B. Ms. Johnson drove 3 miles per day
more than Ms. Johnson.
C. A reasonable prediction is that both
salespeople will drive about 80 miles
each day.
D. A reasonable prediction is that both
salespeople will drive about 110
miles each day.
E. If both salespeople work 250 days
this year, they will drive about
20,000 miles for this year.
F. If both salespeople work 250 days
this year, they will drive about
27,500 miles for this year.
Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
Fill in the table to help you make a conjecture about the geometric sequence An=(0.5)n-1
N=1,2,3,4,5
A1=1,0.5,0.25,W,0.0625
Sn=1,1.5,x,y,1.9375
W=? X=? Y=?
Answer:
W = 0.125
X = 1.75
Y = 1.875
Step-by-step explanation:
The geometric sequence looks like of first term 1 , and of common ratio (r=0.5).
Therefore each new term is found by multiplying the previous one by 0.5:
A1 = 1
A2 = 0.5
A3 = 0.25
A4 = 0.125 = W
A5 = 0.0625
And the partial sums are the additions of the terms until the last one considered:
S1 = 1
S2 = 1.5
S3 = 1.75 = X
S4 = 1.875 = Y
S5 = 1.9375
therefore,
W = 0.125
X = 1.75
Y = 1.875
Answer:
The next answers are approaching a number and 2
Step-by-step explanation:
A researcher wanted to show that math test scores increased for students who attended extra study sessions for a particular school. The study sampled 5 honors students who attended the study session. Explain why this report is not reliable.
Answer:
This report is not reliable because:
A real increase could be proved with the sample of all the students who attended the study session, due to mustn't be many students (I believe the students regularly doesn't like the extra study sessions), where wouldn't just have honors students, but the regular students too, who probably would actually need increasing their math scores.
Step-by-step explanation:
To identify if a students population actually increased their math tests scores by a particular reason, the researcher should take a sample from the regular or bad students that attended to the extra session, or at least an equal sample with the same amount of good students and regular students ( or bad students), in this form he would compare the results in each individual and identify if it actually depended on the extra study sessions or from other reasons how study time in the house, learning disorders or others.
a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?
Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Quadrilateral ABCD is rotated 270° clockwise about the origin. What is the orientation of the rotated figure, and what quadrant does it lie in?
Answer:
The other person is right, I believe it is the fourth Quadrient
Step-by-step explanation: how ever there are two fourth Quadrient answers. I think it is the second fourth Quadrient one with C and B at the top. I rotated the shape and that's how it looked.
When a shape is rotated, it must be rotated through a point.
The orientation of the rotated figure is uprightThe quadrant of the rotated figure is quadrant IV.The current location of the quadrilateral is quadrant III.
A 270 degrees clockwise rotation would move the shape 3 quadrants backwards.
i.e. quadrant 2, quadrant I, and quadrant 4.
Hence, the quadrant of the rotated figure is quadrant IV.
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1. Graph the function
Answer:
You should use desmos graphing calculator. It really helps
Step-by-step explanation:
What is the equation of the line that is parallel to the given
line and passes through the point (-3, 2)?
3x - 4y = -17
O 3x - 4y = -20
4x + 3y = -2
O 4x + 3y = -6
Answer:
Step-by-step explanation:
is the given line 3x - 4y = -17?
then,
- 4y = -3x -17
y=(3/4)x+17/4
it is parallel, so slope of our line is 3/4 or 0.75
y=0.75x+b
next, lets plug in the given point to get the y-int
2=0.75*(-3)+b
2=-2.25+b
b-2.25=2
b=4.25
the equation is y=0.75x+4.25
does this clear anything, or am I off topic? please tell me I will help you
The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
Slope-intercept form of line :The given equation of line is,
[tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]
Compare above equation with [tex]y=mx+c[/tex]
Slope of given line [tex]m=\frac{3}{4}[/tex]
Since, the slope of all parallel lines are same.
So that, slope of required line is also [tex]\frac{3}{4}[/tex]
The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]
Substitute point [tex](-3,2)[/tex] in above equation.
[tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]
Substitute value of c in equation of line.
[tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]
Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
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Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property
Answer:
Inverse Property
Step-by-step explanation:
This property is inverse property with respect to addition.
E.g.
If x=y and z= -y
Then,
x+z = 0
its basically d on edg :)
A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Step-by-step explanation:
Answer:
A. A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. (on edg.)
Step-by-step explanation:
-3x-10=32 Icouldn't find the answer.
Answer:
x = -14
Step-by-step explanation:
-3x - 10 = 32
Add 10 on both sides
-3x = 42
divide both sides by -3 to isolate x
x = 42/-3
x = -14
Answer: -14
Step-by-step explanation:
-3x - 10 = 32
-3x = 32 + 10
x = -42/3 = -14
Identifying parallel and perpendicular lines
Answer:
C (Third answer)
Step-by-step explanation:
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?