Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508
The slope - intercept form of the equation can be obtained thus :
General form ; y = bx + cSlope, b = (y2 - y1) ÷ (x2 - x1)
Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)
Slope = 2.5 / 2 = 1.25
Using any of the pair of points we can obtain the intercept thus :
2 = 1.25(2008) + c
2 = 2510 + c
2 - 2510 + c
c = - 2508.
Hence, the equation is y = 1.25x - 2508
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Answer:
Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508
The slope - intercept form of the equation can be obtained thus :
General form ; y = bx + c
Slope, b = (y2 - y1) ÷ (x2 - x1)
Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)
Slope = 2.5 / 2 = 1.25
Using any of the pair of points we can obtain the intercept thus :
2 = 1.25(2008) + c
2 = 2510 + c
2 - 2510 + c
c = - 2508.
Hence, the equation is y = 1.25x - 2508
Step-by-step explanation:
Jeremy is digging a hole. The bottom of the hole is -2.8 ft from the top of the hole. Sanjay is on a deck that is 12.3 feet above top of the hole. How many feet apart are Sanjay and the bottom of the hole?
Answer: I think 10ft apart
Step-by-step explanation:
An open box will be made by cutting a square from each corner of a 15-inches by 24-inches piece of cardboard and then folding up the sides. What size square should be cut from each corner in order to produce a box of maximum volume
The cut-out from each corner that maximizes the volume is 3 inches.
The dimensions are given as:
[tex]\mathbf{Length = 15}[/tex]
[tex]\mathbf{Width = 24}[/tex]
Assume the cut-out is x.
So, the dimension of the board is:
[tex]\mathbf{Length = 15 - 2x}[/tex]
[tex]\mathbf{Width = 24 - 2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
The volume (V) is calculated as:
[tex]\mathbf{V = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V = (15 - 2x) \times (24 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V = 360x - 78x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V' = 360 - 156x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{ 360 - 156x + 12x^2 = 0}[/tex]
Divide through by 12
[tex]\mathbf{ 30 - 13x + x^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ x^2 - 13x + 30 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = \{3, 10\}}[/tex]
The value of x = 10 is greater than the dimensions of the box.
So, we have:
[tex]\mathbf{x = 3}[/tex]
Hence, the cut-out from each corner that maximizes the volume is 3 inches.
Read more about maximum volumes at:
https://brainly.com/question/7063268
1+(-2/3)-(-m) when m=9/2
What is 2444 divided by 74
Answer:
0.0302782
Step-by-step explanation:
Answer:
0.05124653739
Step-by-step explanation:
What is the circumference of a circle with a radius of 50 feet?
Answer:
Step-by-step explanation:
r = 50
Circumference = 2πr
[tex]= 2 * 3.14 * 50\\\\= 314 \ ft[/tex]
Please help me with this homework
Answer:
Integer
-NULL
Brainliest will be appreciated thank you!
Answer:
-8 ÷ 2 = -4
Step-by-step explanation:
just divide y by x
Rewrite 56+96 as two factors
1+1= 2 so if is add 1 doller and i p,opemimcn3 h3 hnhnhn3
The angle measures of a triangle are shown.
.
Angle A: (4x + 6) degrees
Angle B: (3x + 6) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to 180°. What is the measure of Angle B?
Answer:
<B = 3(14) + 6 = 48 degrees
Step-by-step explanation:
4x+6+3x+6+5x = 180 degrees
12x + 12 = 180
12x = 180 - 12
x = 168/12
x = 14
Select the correct answer.
♡
Answer: It should be D
point p is the midpoint of de dp 6x+4 and de = 14x -10
Answer:
x = 9
Step-by-step explanation:
A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.
Ralph runs at a constant rate of 3 miles per hour. How long will it take Ralph to run 15 miles?
A. 2 hr.
B. 3 hr.
C. 4 hr.
D. 5 hr.
Answer:
Step-by-step explanation:
b
please help In the example of the racetrack, what was the average displacement at the end of the race?
20 km/h N
50 km/h
50 km/h N
0
20 points :)
Answer:The Indianapolis Motor Speedway is an automobile racing circuit located in Speedway, Indiana (an enclave suburb of Indianapolis) in the United States. It is the home of the Indianapolis 500 and the Verizon 200,[4] and formerly the home of the United States Grand Prix. It is the largest sports venue in the world. It is located on the corner of 16th Street and Georgetown Road, approximately six miles (10 km) west of Downtown Indianapolis.
Constructed in 1909, it is the second purpose-built, banked oval racing circuit after Brooklands and the first to be called a 'speedway'. It is the third-oldest permanent automobile race track in the world, behind Brooklands and the Milwaukee Mile. With a permanent seating capacity of 257,325,[1] it is the highest-capacity sports venue in the world.[5]
Considered relatively flat by American standards, the track is a 2.5-mile-long (4.0 km) rectangular oval with dimensions that have remained essentially unchanged since its construction. It has two 5⁄8-mile-long (1,000 m) straightaways, four geometrically identical 1⁄4-mile (400 m) turns, connected by two 1⁄8-mile (200 m) short straightaways, termed "short chutes", between turns 1 and 2, and between turns 3 and 4.
Step-by-step explanation:
The average displacement of the car would be 33.33 Km
What is displacement?Displacement [x] of an object is the length of the straight line joining the initial and final position of the object. Mathematically, if the velocity of the body is 'v' m/s at an instant of time, then displacement can be written as-
v = dx /dt
x = vdt
∫dx = ∫vdt
Given is the following problem -
A race car completes race in 10 minutes. Its average speed is 200km/hr.
The average displacement of the racetrack would be -
[x] = v x t = 200 x 1/6 = 33.33 Km
Therefore, the average displacement of the car would be 33.33 Km
To solve more questions on Kinematics, visit the link below
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[The question given is not completely written. Race track example is - A race car completes race in 10 minutes. Its average speed is 200km/hr. ]
Heyo need help! answer fast plz
Answer: D
Step-by-step explanation: Cause there's not year for how long alma saved so its D not here
Answer:
C. 7980.00
Step-by-step explanation:
by using the formula of interest =ie. 4200*4.75*4 and the answer will come 7980.00
8/5 / 1/4 HELPPPPPPPPPPPPPPPPPPPPPP
32/5
本题已由中国数学会官方解答（现有会员：3人）
Solve the problems. 1 What is the exact area of the circle, in square centimeters? 20 cm
Answer:
314 cm^2
Step-by-step explanation:
A = pi(r^2)
A = (3.14)(10)^2
A = (3.14)(100)
A = 314 cm^2
Answer:
314.16
Step-by-step explanation:
a = πr²
a = π 10²
a = 314.16
I hope that this helps!!!!!
help with this question please?
Step-by-step explanation:
I don't get the question
Which missing value make these fractions equal?
2/? = 1/2
Answer:
The answer is 4
Step-by-step explanation:
2/4 = 1/2
Answer:
4
Because 2/4 is basically 1/2
“Write an inequality to model the situation”
The restaurant can seat at most 172 people.
Let p= people
please help
Answer:
the anwser is actually b
I need help ASAP !!!! What is 2x-1=3/4x+10 how do you solve it ???
Answer:
x = 8.8 or x = 44/5
Step-by-step explanation:
1) Multiply both sides of the equation by 4, and cancel out the 4 on the bottom of 3/4, this turns the equation into: 8x - 4 = 3x + 40
2) Move the x to the lefthand side and change the side, do the same for the constant (4), this turns the equation into: 8x - 3x = 40 + 4
3) Combine like terms, subtract 8x from 3x and add 40 to 4: 5x = 44
4) Divide both sides by 5, and your answer is 44/5 (or 8.8 when converted to a decimal)
determine the dimensions of the cubes length of the smaller cube is one-third of the length of the larger cube, and the volume of the object is 3250 cubic centimeters
Answer:
44.4 or 14.9 depending on which volume is being stated
Step-by-step explanation:
Not sure if it is the smaller cube or the bigger cube that is 3250 cm^3 so ill do both.
LARGER CUBE IS 3250 cm^3
first find the side length by finding the cube root of 3250, which is about 14.8, then divide that by 3 to find the side length of the smaller cube, which is about 4.9.
SMALLER CUBE IS 3250 cm^3
first find the side length by finding the cube root of 3250, which is about 14.8, then multiply that by 3 to find the side length of the larger cube, which is about 44.4.
please help me what is this
y=9+x
Answer:
y = 1x + 9
Step-by-step explanation:
This is probably a form of y = mx + b.
m = the slope of a line, which is up one over one (rise/run)
b = y-intercept, or what point is the line crossing at on the y axis.
This formula is very important and it's very helpful when plotting lines. So remember: y = mx + b !!
Hopefully this helps! Leave a comment wether it does or not. :)
y=mx+b
y=x+9
choose any x coordinates
x = 0,1,2
y is equal to the x coordinate plus 9
in this case y will be
y = 9,10,11
respectively
graph the points:
(0,9)
(1,10)
(2,11)
63/5 - 21/5 - 73/5 = porfa ayudenme con esto, es mi primera pregunta<3, son restas de racionales, gracias <3
Hola!!
[tex]\frac { 63 } { 5 } - \frac { 21 } { 5 } - \frac { 73 } { 5 }[/tex]
[tex]\frac{63-21}{5}-\frac{73}{5} [/tex]
[tex] \frac{42}{5}-\frac{73}{5} [/tex]
[tex] \frac{42-73}{5} [/tex]
[tex]\boxed{-\frac{31}{5}=-6.2}[/tex]
_____
¡Espero eso ayude!
Comenta si tienes dudas.
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Which graph represents the function h(x) = Ix| + 0.5?
Answer: c
Step-by-step explanation: doesnt show a number so example lets say its 0
What is the slope of the line that passes through the points (2,0) and (32,-5)?
Write your answer in simplest form.
Answer:
y = -1/6x + 1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 0 / 32 - 2
-5 / 30
= -1/6
y = -1/6x + b
0 = -1/6(2) + b
0 = -1/3 + b
1/3 = b
Classify the system and determine the number of solutions.x − 4y + 7z = 143x + 8y − 2z = 137x − 8y + 26z = 5
Answer:
inconsistent; none
Step-by-step explanation:
Because 29 ≠ 94, the system is inconsistent. There are no solutions.
Your friend Alice is a full-time college student, earned $4,000 working at the campus bookstore over two semesters last calendar year, and also got a part-time job as a cashier in February, earning $9,500. Alice knows that you have been learning about taxes in your personal finance lessons and asks you, “Do I need to file taxes this year? If I do, what is the process like?”
Answer: Single, under the age of 65 and not older or blind, you must file your taxes if: Unearned income was more than $1,050. Earned income was more than $12,000. Gross income was more than the larger of $1,050 or on earned income up to $11,650 plus $350.
i dont get the second part .. sorry
Nick and Natalie regularly change the oil in their vehicles.
The equation y = 4000x represents the number of miles Nick drives while performing x oil changes.
The equation y = 3500x represents the number of miles Natalie drives while performing x oil changes.
What is true of the comparison of the two graphs?
The line representing the number of miles Nick drives while performing x oil changes is less steep than the line
O representing the number of miles Natalie drives while performing x oil changes because he drives fewer miles between oil
changes than Natalie does.
The line representing the number of miles Nick drives while performing x oil changes is steeper than the line representing
o the number of miles Natalie drives while performing x oil changes because he drives farther between oil changes than
Natalie does.
The line representing the number of miles Nick drives while performing x oil changes is less steep than the line
o representing the number of miles Natalie drives while performing x oil changes because he drives farther between oil
changes than Natalie does
O I don't know
Answer:
The line representing the number of miles Nick drives while performing x oil changes is steeper than the line representing the number of miles Natalie drives while performing x oil changes because he drives farther between oil changes than Natalie does.
(4 - x) -2 (-5x + 3)
Answer:
X = 1
Step-by-step explanation:
PLS HELPPPPP
if y = (x^2 + x +1) (x^3 - x - 1) then y ‘(2)=
Answer:
(1)+(2) Substitute Y from (2) in (1):
X2+(1−X)2=1X2+(1−X)2=1
...
2X(X−1)=02X(X−1)=0
Hense X= 0 or X = 1.
by-step explanation:
Which table represents y as a function of x?
Answer:
Second option?
Step-by-step explanation:
I would go with the second one. It cannot be the first one because a function must have one y value per each x, but in this case it does not. Same reason for option 3 and 4. Am I right? Please let me know :)
