Answer:
The predicted price of a 9 room house is $925.3 K.
Step-by-step explanation:
The regression equation for predicting the appraised value (in thousands of dollars) from the number of rooms for houses in East Meadow, New York is as follows:
[tex]\text{Value}=748+19.7\ \text{Rooms}[/tex]
Compute the price of a 9 room house as follows:
[tex]\text{Value}=748+19.7\ \text{Rooms}[/tex]
[tex]=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3[/tex]
Thus, the predicted price of a 9 room house is $925.3 K.
The price of a 9-room house is (c) $252.262
The regression equation is given as:
[tex]\mathbf{y = 74.8 + 19.7 \times rooms}[/tex]
For a 9-room house, we have:
Rooms = 9
Substitute 9 for rooms in the above regression equation
[tex]\mathbf{y = 74.8 + 19.7 \times 9}[/tex]
Multiply
[tex]\mathbf{y = 74.8 + 177.3}[/tex]
Add
[tex]\mathbf{y = 252.1}[/tex]
The closest to this value is (c) $252.262
Hence, the price of a 9-room house is (c) $252.262
Read more about regression equations at:
https://brainly.com/question/7656407
A line whose slope is 4 and passes through the point (0, -9) lies on the line whose equation is:
Answer:
y = 4x - 9
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope, b is the y-intercept.
The slope is 4.
y = 4x + b
The y-intercept is -9 because it passes through (0, -9).
y = 4x - 9
The density of salt is 80 pounds per cubic foot (lb/ft3). 1 pound (lb) is approximately 0.4536 kilogram (kg). 1 cubic foot (ft3) is approximately 0.0283 cubic meter (m3). What is the approximate density of salt in kilograms per cubic meter (kg/m3)?
Answer: Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Which expression is not requivalent to
3x - 2?
Answer:
anything that is not -2+3x or x=2/3 is wrong
Step-by-step explanation:
the area of a right triangle is 77 m^2. the hypotenuse has a length of √317 m. what is the length of the legs?
Answer:
11 m and 14 m
Step-by-step explanation:
Legs: x and y
---
1/2xy= 77 ⇒ xy= 154
√x²+y²= √317 ⇒ x²+y²=317
x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25
x= 25-y
xy=154 ⇒ y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14
x= 25-y= 14 and 11
Triangle L M N is shown. Angle L M N is a right angle. Angles N L M and L M N are 45 degrees. The length of L N is x. Which statements are true regarding triangle LMN? Check all that apply. NM = x NM = LM = x StartRoot 2 EndRoot tan(45°) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction tan(45°) = 1
Answer:
A.) NM= x
C.) LM = x√2
E.) tan (45°) = 1
Step-by-step explanation:
If the legs are both x, then the hypotenuse is equal to [tex]x\sqrt{2[/tex]
Therefore, LM= [tex]x\sqrt{2[/tex] is correct and MN= x
Disclaimer: The sum is done according to the picture attached as the question given is wrong.
The true statements regarding the given isosceles right triangle ΔLMN are:
NM = xLM = x√2tan 45° = 1.What are isosceles right triangles?An isosceles triangle is a triangle where two sides and their corresponding angles are equal.
A right triangle is a triangle with one angle = 90°.
An isosceles right triangle is a right-angled triangle with two legs including the right angle are equal. Their corresponding angles are equal and each of them = 45°. So, the three angles of an isosceles right triangle are 45°, 45°, and 90°, always.
How do we solve the given question?In the figure, we can see that we have a ΔLMN, with ∠L = 45°, ∠M = 45°, and ∠N = 90°. Also, we can see that LN = x.
The given angles of ΔLMN determine that it is an isosceles right triangle with a right angle at N.
Since, the two legs involving the right angle, that is N, are equal, we can say that, NM = LN = x.
The hypotenuse of the ΔLMN, that is the side opposite to ∠N, that is LM, can be found using the Pythagoras theorem, by which in a right-angled triangle,
Hypotenuse² = Base² + Perpendicular².
∴ LM² = LN² + NM² = x² + x² = 2x².
or, LM = √(2x²) = x√2.
The tangent of an angle ∅, that is, tan ∅ is computed using the formula,
tan ∅ = Perpendicular/Base.
To calculate tan 45°, that is, tangent to ∠L, we take Perpendicular = NM and Base = LN.
∴ tan 45° = NM/LN = x/x = 1.
Now, we check all the given options:
NM = x. TRUE (computed)NM = x√2. FALSE (∵ NM = x)LM = x√2. TRUE (computed)tan 45° = √2/2. FALSE (∵ tan 45° = 1)tan 45° = 1. TRUE (computed)∴ The true statements regarding the given isosceles right triangle ΔLMN are:
NM = xLM = x√2tan 45° = 1.Learn more about isosceles right triangle at
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Find the value of X.
Answer:
x = 4√5
Step-by-step explanation:
The triangles are all similar, so corresponding lengths are proportional.
hypotenuse/short side = x/5 = (11+5)/x
x^2 = 80 . . . . cross multiply
x = 4√5 ≈ 8.94427
When plotting points on the coordinate plane below, which point would lie on the y-axis? A coordinate plane. (0, 1) (7, 0) (6, 8) (8, 2)
Answer:
Numbers 1,0,8,2 would lie on y-axis.
Step-by-step explanation:
This is because for example, (0,1)
we must prefer 0 as x-axis and 1 as y-axis. That's means left number or side will always be x-axis and right side will always be y-axis.
Answer: (0, 1)
Step-by-step explanation:
When the x is 0 is lies on the y axis.
Chris placed $7,400 in a savings account which compounds interest annually at a rate of 5.7%. How much will he have in the account after 4 years?
Answer:$9237.02
Step-by-step explanation:
A = p(1+r/n)^nt
A = 7400 (1 + 0.057)^4
A = 7400(1.057)^4
A = 9237.02
Do not add the .02 at the end of this answer
50 POINTS PLEASE HELP will mark brainlest COMPRESSION BY A FACTOR OF 2 photos attached
Answer:
Point A'(-1,5) ........ corrected A' instead of A
Point B'(3,-3)
Step-by-step explanation:
The current function has vertex (2,-4), and passes through (6,0).
Using the standard formula
y = a(x-h)^2+k
we have
h = 2, k=-4
parabola passes through (6,0) =>
0 = a(6-2)^2 -4 = 16a -4
a = 1/4
so equation of given curve is
f(x) = (1/4)(x-2)^2-4
If the curve is compressed horizontally by a factor of 2, then the image is
g(x) = (1/4)(2(x-2))^2-4
=(x-2)^2 -4
Given A(-4,5), B(4,-3)
f(-4) = 5
f(4) = -4
With a compression factor of 2, coordinates of y do not change.
for point A'
5 = (x-2)^2 -4
5 = (x-2)^2 -4
(x-2)^2 = 9
(x-2) = +/- 3
x-2 = -3, x = -1 (to the left of vertex, ok)
x-2 = +3, x = 5 (to the right of vertex, alternate point x)
Point A'(-1,5) ........ corrected A' instead of A
For point B'
y = -3
-3 = (x-2)^2-4
(x-2)^2 =1
x-2 = +/- 1
x-2 = +1, x=3 (to the right of vertex, point required)
x-2 = -1, x= 1 (to the left of vertex, alternate point Y)
Point B'(3,-3)
26.355 rounded to the nearest hundredth tell anser
Answer:
26.36
Step-by-step explanation:
Hundredths are the second decimal place from the decimal. You would round up to 26.36 because the number before that is up to 5. If it was below 5 you would round down to 26.35.
Two bond funds pay interest at rates that differ by 4%. Money invested for one year in the first fund earns $550 interest. The same amount invested in the other fund earns $770. Find the lower rate of interest. _________ %
Answer:
10% interest.
Step-by-step explanation:
Interest I = PRT/100
If the rate R = x% we have
550 = P*x *1 / 100
and
770 = P*(x + 4) * 1 / 100
so From first equation
Px = 55000 and from the second
Px + 4P = 77000
So Px = 77000 - 4P
Therefore 77000 - 4P = 55000
4P = 22000
P = 5,500
So x = 55000/5500 = 10%.
And the rate for the other fund is 10 + 4 = 14%.
PLEASE 36 POINTS!!! I WILL ALSO GIVE BRAINLIEST A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer: D: (2, 0)
Step-by-step explanation:right on Edge 2020
Answer:
yes its d
Step-by-step explanation:
did on edge
I NEED HELP PLEASE, THANKS! :) Write the augmented matrix for the system of linear equations. –9w + x + 8y + 2z = –6 –5x + 9y – 7z = 6 –3w – 6x + 4y + 9z = 4 –3w – 8x + y = –2
Answer:
3rd Matrix
Step-by-step explanation:
When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.
Answer:
First Matrix
Step-by-step explanation:
Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.
Convert 58% to a decimal
Answer: 0.58
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.
So we can think of 58% as the ratio 58 to 100 or 58/100.
Dividing by 100 moves the decimal point 2 places to the left so 58/100 would move the decimal point 2 places to the left which would give us .58 or 0.58. So 58% can be written as the decimal 0.58.
Which function represents a parabola that opens downward and has a vertex at (3,-4)
Answer:
y = -(x-3)² -4
Step-by-step explanation:
please answer my question
Answer:
B
Step-by-step explanation:
To find a perpindicular line, you want to find the reciprical slope, and have a point.
We already have the point which is (3,9)
All we have to do is find the new slope what is easy, get the orginal slope,
flip the sides and polarity of it. So from the slope -3/2, you get 2/3.
Now you just plug all the new values into slope point formula.
y - y1 = m(x - x1).
You do simple algebra and get B as your answer
3) The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the
United States. During a speed test, the train traveled 8.0 x 10^2 miles in 2.5 hours. Compute the
speed of the train. (Try solving this problem using scientific notation.)
Answer:
[tex]3.2*10^2=320[/tex] mph
Step-by-step explanation:
hello,
it travels [tex]8.0*10^2[/tex] miles in 2.5 hours
So in 1 hours it travels
[tex]\dfrac{8.0*10^2}{2.5}=3.2*10^2[/tex]
miles
hope this helps
Help pls any kind soul pls help
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
Which expression is equivalent to x + y + x + y + 3(y + 5)?
Answer:
2x + 5y + 15
Step-by-step explanation:
Step 1: Combine like terms
2x + 2y + 3(y + 5)
Step 2: Distribute
2x + 2y + 3y + 15
Step 3: Combine like terms
2x + 5y + 15
Answer: 2x + 5y + 15
Step-by-step explanation:
Which expression is equivalent to x + y + x + y + 3(y + 5)?
David and Tina share their profit in a ratio of 5:7. Tina gets £70 more than David. How much money did David receive?
Answer:
Amount of money David received = £ 175
Step-by-step explanation:
Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let
the amount David received = a
amount Tina received = 70 + a
the total profit = 70 + 2a
Amount David received = 5/12 × 70 + 2a = a
Therefore,
5/12 × 70 + 2a = a
350 + 10a/12 = a
cross multiply
350 + 10a = 12a
collect like terms
350 = 12a - 10a
350 = 2a
divide both sides by 2
a = 350/2
a = 175
Amount of money David received = £ 175
Simplify the square root of 2 times the cube root of 2.
two to the one sixth power
two to the two thirds power
two to the five sixths power
two to the seven sixths power
Answer:
2 to the 1/6 th power
Step-by-step explanation:
square root = 1/2
Cube root = 1/3
so 1/3 x 1/2= 1/6
can i please have brainlest
Answer:
2 to the 1/6 th power
Step-by-step explanation:
square root = 1/2
Cube root = 1/3
so 1/3 x 1/2= 1/6
can i please have brainlest
Divide and answer in simplest form: 1/5 ÷ 7
Answer: 1/35
Step-by-step explanation:
1/5 = 0.2
0.2/7= 1/35
Answer:
[tex] \frac{1}{35} [/tex]Step by step explanation
[tex] \frac{1}{5} \div 7[/tex]
Dividing is equivalent to multiplying with the reciprocal:
[tex] \frac{1}{5} \times \frac{1}{7} [/tex]
Multiply the fraction
[tex] \frac{1 \times 1}{5 \times 7} [/tex]
[tex] = \frac{1}{35} [/tex]
Hope this helps...
Good luck on your assignment.
Can you please help me solve thanks step by step
Answer:
40 degrees
Step-by-step explanation:
We know the entire angle of ABD is 70 and CBD and ABC are in it.
Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.
30 + x = 70
-30 from both sides
x = 40
PLEASE HELP ME!!!!!!!!!! What polygon is tesellated to form this image?
Answer:
Pentagon
Step-by-step explanation:
the head is the closest I see
10x - 30 = 5y
2x = y + 6
Answer:
the equations are dependent; both describe the line y = 2x -6
Step-by-step explanation:
Remove the common factor of 5 from the first equation and you have ...
2x -6 = y
Subtract 6 from the second equation and you have ...
2x -6 = y
The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.
Consider the two savings plans below. Compare the balances in each plan after 14 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Yolanda deposits $100 per month in an account with an APR of 5%, while Zach deposits $1200 at the end of each year in an account with an APR of 5%.
Step-by-step explanation:
It is not specified the compounding period, which in general is a month these days. So we will assume money is compounded each month, otherwise there is no point depositing monthly.
1. Yolanda:
APR=5% is equivalent to
Monthly interest = 5%/12 = 5/12% = 5/1200 = 1/240 = i
Monthly deposit = 100 = A
Future value after 14 years = 14*12 months = 168 months = n
FV1 = A((1+i)^n-1)/i
=100*((1+1/240)^168-1)/(1/240)
= $24259.83
2. Zach
He deposits 1200 at the end of the year. The last payment does not benefit from interest.
Since it is a yearly payment, each amount earns interest over a year, giving an annual interest of
(1+i)^12 -1 = 1.051161897881733 -1 =0.051161897881733 = j
Thus for 13 annual payments with annual interest j gives a compounded amount after 14 years, plus the last payment which does not earn interest
FV2 = A((1+j)^n-1)/j
= 1200((1.051161897881733)^13-1)/(0.051161897881733)+1200
= 22613.34
Summary
Total investments:
Yolanda = 12*100*14 = 16800
Zach = 1200 * 14 = 16800
So both investors have invested $16800 over the 14 year period.
Since Yolanda achieves a higher future value after 14 years ($24259.83) over that of Zach ($22613.34), financially Yolanda has a better strategy.
Note:
If zach had invested annually at the beginning of the year, he would have obtained:
A((1+j)^n-1)/j
= 1200((1.051161897881733)^14-1)/(0.051161897881733)
= 24908.88
which is superior over Yolanda's return.
what is the value of x?
X = 30 degrees.
See the attached image
69/8 as a mixed number
Answer:
Hey!
69/8 as a mixed number is...
8 5/8!
To get this answer, simply divide 69 by 8, then subtract the WHOLE NUMBER from 69 and then the left over number is the numerator over 8
Hope this helps!
Answer:
8 5/8
Step-by-step explanation:
John is going for a walk. He walks for 6.4 miles at a speed of 2 miles per hour. For how many hours does he walk?
Answer:
t = d/s
t = 6.4 / 2 miles
t = 3.2 miles
Step-by-step explanation:
follow me plzzz
A population of protozoa develops with a constant relative growth rate of 0.7233 per member per day. On day zero the population consists of four members. Find the population size after six days.
Answer:
307 members
Step-by-step explanation:
Relative growth rate= Growth rate/population
Given: constant relative growth rate=0.7233
0.7233=[tex]\frac{dP/dt}{P}[/tex]
[tex]\frac{dP}{dt} =0.7233 P[/tex]
Theorem 2 states that solutions of the differential equation dy/dt = ky are in the form: y(t)=y(0)[tex]e^k^t[/tex]
Writing the soltuion of our dif. equation as:
P(t)=P(0)[tex]e^{0.7233t}[/tex]
since on day zero the population consists of four members.
P(t)=4[tex]e^{0.7233t}[/tex]
next is to find the population size after six days. i.e t=6
P(6)=4[tex]e^{0.7233\times 6}[/tex] ≈ 307 members