Answer: y=0.074x+50.48
Step-by-step explanation:
The solution is : B. y = 0.097x + 11.142
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.
The equation of the line can be written as
y = mx + q
where m is the slope and q the y-intercept.
In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:
(1900, 196)
and
(2200, 225)
The slope of the line is calculated as:
m = y2-y1/x2-x2 = 0.097
So, the slope of the line is 0.097.
Therefore, the correct option is the only one having a slope of 0.097, which is:
B. y = 0.097x + 11.142
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complete question:
Based on housing data below which equation can be used to calculate fair housing prices?
Square feet
1900
2000
2200
house price (in the thousands 19)
196
205
225
A. y = 0.087x + 9.286
B. y = 0.097x + 11.142
C. y = 0.074x - 50.48
D. y = 0.087x - 9.286
Is the following situation represented by a positive integer, a negative integer, or zero?
Before taking off, the plane was on the ground.
Zero
Positive
Negative
Answer:
zero
Step-by-step explanation:
because it hasn't taken off. It is its starting position
A new cyclindrical swimming pool is being built at the
local rec center. It has a radius of 13 feet and a height of 6
feet. Tim determined that 1,0141 ft of water would be
needed to fill the pool, but jasmine calculated that
3,185.57 ft of water would be needed. Explain who
calculated the volume properly.
Sample Response: Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.
Which equation represents a linear function? Equation 1: y^3 = 2x +1 Equation 2: y= 3x +1 Equation 3: y= 5x^2 - 1 Equation 4: y=4x^4 -1
Which answer choice shows in order from greatest to least?
A. 11.09, 11.283, 11.301, 12.08, 12.8
B. 12.08, 12.8, 11.301, 11.283, 11.09
C. 12.8, 12.08, 11.301, 11.283, 11.09
D. 11.09, 11.283, 11.301, 12.8, 12.08
Answer:
C. 12.8, 12.08, 11.301, 11.283, 11.09
A submarine was located 800 feet below sea level. There is a drone
flying 250 feet above sea level over the submarine, how far apart are
the submarine and the drone?
Answer:
1,050
Step-by-step explanation:
Answer:
1050 feet
Step-by-step explanation:
The submarines location is 800 feet below which is -800 and the drones location is 250 feet above which is just 250. To get to -800 from 250 you subtract 1050 so the total distance is 1050.
solve for the unknown variable 2/5(3x-4)=-4
Answer:
x = -2
Step-by-step explanation:
Solve for x:
(2 (3 x - 4))/5 = -4
Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:
(5×2 (3 x - 4))/(2×5) = -4×5/2
5/2×2/5 = (5×2)/(2×5):
(5×2)/(2×5) (3 x - 4) = -4×5/2
5/2 (-4) = (5 (-4))/2:
(5×2 (3 x - 4))/(2×5) = (-4×5)/2
(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:
3 x - 4 = (-4×5)/2
(-4)/2 = (2 (-2))/2 = -2:
3 x - 4 = 5×-2
5 (-2) = -10:
3 x - 4 = -10
Add 4 to both sides:
3 x + (4 - 4) = 4 - 10
4 - 4 = 0:
3 x = 4 - 10
4 - 10 = -6:
3 x = -6
Divide both sides of 3 x = -6 by 3:
(3 x)/3 = (-6)/3
3/3 = 1:
x = (-6)/3
The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:
Answer: x = -2
Step-by-step explanation:
HERE IS HOW YOU COULD SOLVE IT !!
Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
WHICH THE ANSWER WOULD BE x= -2
Hey, so whats 4d > 16 in a graph?
Answer:
see below
Step-by-step explanation:
4d>16
Divide each side by 4
4d/4 >16/4
d >4
At the store Jason finds the total volume of soda in a pack is 50.24 cubic inches . If each cylinder -shaped can has a height of 4 inches and a diameter of 2 inches , how many soda cans are in a pack ? (Use 3.14 for pi)
A) 4
B) 5
C) 13
D) 2
Explain:
Answer: A) 4
Step-by-step explanation:
Hi, to answer this, first, we have to calculate the volume of each can:
Volume of a cylinder: π x radius^2 x height
Since:
Diameter: 2 radius
2 = 2r
2/2 =r
r=1
Back with the volume formula:
V = 3.14 ( 1)² 4 =12.54 cubic inches
Now, we have to divide the total volume of soda by the volume of each can:
50.24/12.54= 4 soda cans
Feel free to ask for more if needed or if you did not understand something.
in an exponential function, (x) = a(b)^x, it is known that f(5)=15 and f(8)=170. which of the following is closest to the value of b?
(1)1.87
(2)2.25
(3)3.19
(4)3.72
Answer:
2.25
Step-by-step explanation:
5=15 and d8=170=which of the following is closest to the value of fb
The value of b is closest to (2) 2.25
An exponential function is represented as:
[tex]f(x) = a(b)^x[/tex]
[tex]f(5) = 15[/tex] means that:
[tex]ab^5 = 15[/tex] ---- equation (1)
[tex]f(8) = 170[/tex] means that:
[tex]ab^8 = 170[/tex] ---- equation (2)
Divide equation (2) by equation (1)
[tex]\frac{ab^8}{ab^5}= \frac{170}{15}[/tex]
Divide common factors
[tex]b^3= 11.33[/tex]
Take the cube root of both sides
[tex]b= \sqrt[3]{11.33}[/tex]
Evaluate the expression
[tex]b= 2.246[/tex]
2.246 can be approximated to 2.25
Hence, the value of b is closest to (2) 2.25
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plz help me will give you brainliest!!!!
Answer both questions please!!!
Stay Safe!!
Answer:
10
Step-by-step explanation:
Area of a triangle is
A = [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex] 5 x 4
A = [tex]\frac{1}{2}[/tex] 20
A = 10
For the second image you find the area of the poster
5 x 3 = 15
15 ÷ $2 = 7.5 = $7.50
Sorry if its wrong
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
Answer:
4?
Step-by-step explanation:
Answer:
The mean is 15 so adding another 15 keeps the mean unchanged.
Step-by-step explanation:
What is the vertex of the parabola whose equation is y = (x + 1)2 + 3?
(-1,-3)
(-1,3)
(1,3)
Answer:
Step-by-step explanation:
(-1,3)
What is the solution of sqrt 1-3x =x+3
Answer:
x= -1
Step-by-step explanation:
1-3x=x²+6x+9
1-3x-x²-6x-9=0
-8-9x-x²=0
x²+9x+8=0
x²+8x+x+8=0
(x+8)(x+1)=0
x+8=0
x+1=0
sqrt 1-3(-8)=-8+3
sqrt 1-3(-1)=-1+3
5=-5
2=2
x≠8
x=-1
12. Make an estimate and then divide as if the dividend was a whole number. Use the estimate to place your decimal.
8.46 ➗3=
Estimate:
What partial quotients did you use? _________________________
Answer:
Answer:
8.4/3=2.8
2.8 is the estimate
8.46/3=2
8.46-6=2.46
2.46/3=.8
2.46-2.4=0.06
0.06/3=0.02
0.06-0.06=0
The real answer would be 2.82
Step-by-step explanation:
What property must you do to eliminate the parentheses in an equation.
A. Distributive Property
B. Associative Property
C. Multiplication Property
D. Commutative Property
I need the answer
Answer:
distributive
Step-by-step explanation:
Answer:
A. Distributive Property
Step-by-step explanation:
On a number line point M is the midpoint of PQ. Point P is -2 point M is 5. What number is located at point Q?
A) 7
B)8
C)12
D)14
Answer:
12
Step-by-step explanation:
We know 5 in the midpoint and P = -2. Point P is 7 points away (5--2=7). Then to find the point Q you add 7 to 5 which equals 12.
Which sequence of transformations will verify that
a) ABC and A'B'C' are congruent?
b) ABC is moved onto A'B'C' after translating -16 units horizontally and 6
units vertically, and then reflecting across the y-axis.
c) ABC is moved onto A'B'C' after translating 16 units horizontally and -6
units vertically, and then reflecting across the y-axis.
d) ABC is moved onto A'B'C' after translating -16 units horizontally and 6
units vertically, and then reflecting across the x-axis.
ABC is moved onto A'B'C' after translating 16 units horizontally and -6
units vertically, and then reflecting across the x-axis.
Answer:
C) △ABC is moved onto △A'B'C' after translating −16 units horizontally and 6 units vertically, and then reflecting across the x-axis.
Explanation: I did USA Test Prep.
Can you answer these questions? Im doing them on my own but I need to check if they're right
Answer:
Sure! But I need to see the questions to answer them.
~Lexi
Answer:
Sure I can.
Step-by-step explanation:
Just post what questions you need checking, and I'll try to the best I can.
Find lim
12+1)-(2)
if f(x) = x² + x + 1
Answer:
The answer is 11 Hope this helps ;)
Step-by-step explanation:
I need help with Pythagorean theorem
Answer:
1 2/7 just multiply
Step-by-step explanation:
which event has exactly 12 possible outcomes
Final answer:
An event with exactly 12 possible outcomes may refer to rolling a single 12-sided die, rolling two six-sided dice with one specific number on one die and any number on the other, or flipping a coin and rolling a six-sided die.
Explanation:
The event that has exactly 12 possible outcomes could be the rolling of a 12-sided die once, which would result in one of the twelve numbers coming up. Another example is rolling two six-sided dice and considering the situation where one specific number must come up on one die, while any of the six numbers could come up on the other die, thus also resulting in 12 possible outcomes (6 possible outcomes for the second die, times 1 fixed outcome for the first die), assuming the outcome of interest is only about the second die. Yet another example could be flipping a coin and rolling a six-sided die, where the coin has two possible outcomes (heads or tails) and the die has six possible outcomes, giving us a total of 12 outcomes (2 x 6 = 12).
Classify this triangle by the angles and lengths of sides shown.
A.) acute, equilateral
B.) acute, scalene
C.) acute, isosceles
D.) obtuse, scalene
There is a relay race with 4 runners. The total distance run in the relay race is m
miles. Write an expression to show how far each person runs in the relay race.
In a relay race with 4 runners covering a total distance of m miles, each runner will cover an equal share of the distance, specifically m ÷ 4 miles.
Explanation:If there is a relay race with 4 runners and the total distance run is m miles, we want to find the distance each person runs. Since the total distance is divided equally among the 4 runners, we can express the distance each runner will run as:
The distance each runner runs = Total distance ÷ Number of runners
The distance each runner runs = m ÷ 4
This expression shows that each runner will run a quarter of the total distance m.
Approximate the value of 11−−√ to the nearest tenths place. Plot the approximation on the number line.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Approximate the value of [tex]\sqrt{11}[/tex] to the nearest tenths place. Plot the approximation on the number line.
(Please have a look at the attached photo)
My answer:
The value nearest tenths place of [tex]\sqrt{11}[/tex] is: 3.3
Hope it will find you well.
Using a number line, what is a 12 more than 35
The value of number is,
⇒ 12 + 35 = 47
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The expression is,
⇒ A number is 12 more than 35.
Now, Let a number is,
⇒ x
Hence, We can formulate;
⇒ x = 12 + 35
⇒ x = 47
Therefore, The value of number is,
⇒ 12 + 35 = 47
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A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
in feet after t seconds is given by the function h=-16t^2 + 120t + 10. How long does it take to
reach maximum height? What is the boulder's maximum height? Round to the nearest
hundredth, if necessary.
a. Reaches a maximum height of 235.00 feet in 3.75 seconds.
b. Reaches a maximum height of 10.00 feet in 7.50 seconds.
c. Reaches a maximum height of 7.58 feet in 3.75 seconds.
d. Reaches a maximum height of 15.16 feet in 7.5 seconds.
Answer:
The boulder's maximum height is:
a. Reaches a maximum height of 235.00 feet in 3.75 seconds.
Step-by-step explanation:
The easiest way to solve the unknown is to replace the time in the given equation, with the values given in the answer, look for the highest value and check if the height value decreases as the time increases or decreases.
First the equation provided is taken:
h = -16t ^ 2 + 120t + 10The time values in the options are 3.75 seconds and 7.5 seconds, therefore we proceed to replace this formula with those values:
h (3.75) = - 16 (3.75) ^ 2 + 120 (3.75) + 10 = 235 h (7.5) = - 16 (7.5) ^ 2 + 120 (7.5) + 10 = 10Since a higher height value is obtained with 3.75 seconds (235 feet), this time will be taken as appropriate, however, it is best to check that by using more time and less time, the height decreases from that value, so we will take two very close times: 3.74 seconds and 3.76 seconds:
h (3.74) = - 16 (3.74) ^ 2 + 120 (3.74) + 10 = 234.9984 h (3.76) = - 16 (3.76) ^ 2 + 120 (3.76) + 10 = 220.5884As you can see, if slightly higher or lower time values are taken, the height of the rock still decreases from 235 feet, so we can be sure that the time in which it reaches its maximum height is 3.75 seconds.
The measures of the angles in a triangle are 1.5x, 2.4x, and 3.3x. Write an equation to determine the measure of each angle in the triangle. Use the equation to determine the exact measure of each angle in the triangle.
Answer:
[tex]37.5^{\circ}\,,\,60^{\circ}\,,\,82.5^{\circ}[/tex]
Step-by-step explanation:
Given: measures of the angles in a triangle are [tex]1.5x,2.4x,3.3x[/tex]
To find: equation to determine the measure of each angle in the triangle and exact measure of each angle in the triangle
Solution:
According to angle sum property, sum of angles of a triangle is [tex]180^{\circ}[/tex]
So, equation to determine the measure of each angle in the triangle is [tex]1.5x+2.4x+3.3x=180^{\circ}[/tex]
[tex]1.5x+2.4x+3.3x=180^{\circ}\\7.2x=180^{\circ}\\x=\frac{180^{\circ}}{7.2}=25^{\circ}[/tex]
So,
[tex]1.5x=1.5(25^{\circ})=37.5^{\circ}\\2.4x=2.4(25^{\circ})=60^{\circ}\\3.3x=3.3(25^{\circ})=82.5^{\circ}[/tex]
Students are running a relay race. The race is 1/3 mile total. How far will each students run?
Answer:533.33 meters
Step-by-step explanation:
The mile would be four laps around a track which is 400 meters so 400x4 divided by 3 (I ran track that’s the only reason I figured this out)
Determine is the following set is a function or not: (-3,5) (1,3) (4,5 (3,5) (-3,5)
Answer:
It is
Step-by-step explanation:
The reason being is both times you imputed -3 you got an output of 5.
A class sold tickets to their school play. Each of the 23 students in the class sold 4 tickets. The cost of each
ticket was $7.
How much money did the class earn by selling tickets to the play?
Answer:
$644
Step-by-step explanation:
7 × 4 = 28
28 × 23 = 644
Plz click the Thanks button!
<Jayla>
Answer:
644
Step-by-step explanation:
I got this because 23 times 4 which is 92 then you have to times 92 by 7 which is 644