Answer: y = 0.0005x+1
This is the same as saying y = (1/2000)x + 1
===============================================================
Explanation:
The blue line goes through (0,1) and (2000,2)
The slope is
m = (y2-y1)/(x2-x1)
m = (2-1)/(2000-0)
m = 1/2000
This says that each time we move up 1, we move to the right 2000 units.
Think of it as slope = rise/run = 1/2000
The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.
The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.
The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.
-------------------
Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1
We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.
what is the volume of this cylinder?
Answer:
volume of a cylinder is πr²h
ie
3.14 × 7× 7 × 11
you get
1692.46
Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.
Answer:
A and B
Step-by-step explanation:
Answer:
golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball. y-step explanation:
PLATO
Please I need help this is due tomorrow and I'm falling behind :(:
Answer:
there are 8 one dollar bills and 3 five dollar bills
Step-by-step explanation:
Write the x-intercept of the graph of 2x − y = 5.
9/10 times 8/9 enter the product in simplest form
Answer:
4/5
Step-by-step explanation:
What number is exponent?
Answer:
2
Step-by-step explanation:
The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.
i really need help!!!!!!! !!!!
Answer:
{-1/2, -1/4, 1/2}
Step-by-step explanation:
x > - 1 can be voiced as "x is greater than -1." In other words, any x value greater than -1 satisfies this inequality.
1/2 is greater than -1. 1/2 lies to the right of -1.
-1/2 is greater than -1.
-1/4 is greater than -1.
-5/2 is the same as -2 1/2. This is smaller than -1. Eliminate this choice
7/9 - something = 2/9
Answer:
5/9
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
John wants to invite around 78,000 college students to a tournament. Which of the following sets of college student populations has a sum closest to 78,000?
A. 18,432; 32,761; 27,390
B. 15,791; 47,318; 27,522
C. 22,109; 38,569; 32,780
D. 27,420; 47,338; 22,183
Answer:
a
Step-by-step explanation:
Write an equation that represents the line. (Use exact numbers)
Answer (assuming it can be in slope-intercept form):
[tex]y = \frac{3}{4} x+2[/tex]
Step-by-step explanation:
When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.
1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:
[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]
Thus, the slope is [tex]\frac{3}{4}[/tex].
2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.
3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex] and the [tex]b[/tex] to write the equation of the line.
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:
[tex]y = \frac{3}{4} x+2[/tex]
PLS HELP FOR BRAINLIST!
Look at picture below and please solve. If possible, it would be great if you could show your work! TYSM!
Answer:
-2,-2,-2
Step-by-step explanation:
When you add -2 to itself, it equals -4. When you add -2 to -4, you get -6.
Answer: -2
Step-by-step explanation: -2 + -2 +-2 = -6
MARKING AS BRAINLIEST
selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?
Answer:
your answer for this question would be 25
determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3
Given:
The center of the circle is at (0,0).
The circle passes through the point A(4,-3).
To find:
The radius and the equation of the circle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points (0,0) and (4,-3).
[tex]r=\sqrt{(4-0)^2+(-3-0)^2}[/tex]
[tex]r=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]r=\sqrt{16+9}[/tex]
[tex]r=\sqrt{25}[/tex]
[tex]r=5[/tex]
So, the radius of the circle is 5 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is center of circle and r is the radius.
Putting h=0, k=0, r=5, we get
[tex](x-0)^2+(y-0)^2=5^2[/tex]
[tex]x^2+y^2=25[/tex]
Therefore, the radius of the circle is 5 units and the equation of the circle is [tex]x^2+y^2=25[/tex].
helppppppppppppppppppppp!!!!! ASAPPPPPPPPPPP
Answer:
Step-by-step explanation:
the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....
according to Gaggle matrix multiplication is possible when the number of columns in matrix 1 equals the number of rows in matrix 2
it is called the dot product (that sounds familiar)
first choice has 2 columns and 1 row can't multiple this one
second choice has 1 column and 2 rows can't multiple this one
third choice has 2 columns and 1 row can't multiple this one
fourth choice has 1 column and 1 row This one can be multiplied
1. A local fast food restaurant takes in $10,000 in a 5 hour lunch period. Write a
direct variation equation for the relationship between Income and number of
hours. Estimate how many hours it would take the restaurant to earn $16,000.
Answer:
8hours
Step-by-step explanation:
10000÷5=2000
so the restaurant earns 2000$ per hour
8×2000=16000
8hours=16000$
Hope that helped
PLEASE NEED HELO ASAP
Answer:ok
Step-by-step explanation:
Factor the expression.
6x + 6
Need help ASAP! due soon!!!
Answer:
C
Step-by-step explanation:
C
Fill in the missing number
7x3=(__x3)+(4x3)
Answer:3
Step-by-step explanation:
7x3=21 4x3=12 21÷12=9 3x3=9
Answer:
3Step-by-step explanation:
7 × 3 = (x × 3) + (4 × 3)21 = 3x + 123x = 21 - 123x = 9x = 9/3x = 37 × 3 = (3 × 3) + (4 × 3)
help me out with this question (geometry)
Answer:
44
Step-by-step explanation:
A angle bisector is a ray that bisects an angle into two congruent parts.
Using that information, Angle CAP=Angle PAB.
Angle PAB or Angle 2 =22 so using transitive Property, CAP or angle 1 =22.
We are asked to find the full angle so using Angle Addition
Angle CAP+ Angle PAB=CAB
22+22=CAB
44=CAB
Ayyy i need some help
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how
many did she miss?
Table -
rate of change is_____Between any two rows
Answer slope
Step-by-step explanation:
show that (3x+7)² -84x = (3x-7)
Pls help, I will give brainliest.
Answer:
sup
Step-by-step explanation:
What is the slope of the line in the graph below?
Answer:
6
Step-by-step explanation:
peeiroeoeolonesoapsodndd
These for girls and guys who had there heart broken
Like me i just broke up with this girl and were datting for 5 month and she said that she lost feelings for me 1 month ago it made me really sad but i did know if she really meant all thoses words she said to me i feel like this pain hurts
Answer:
i felt that
Step-by-step explanation:
Kami went out to eat. She ordered a sandwich and chips. The total was $12.50 including tax. How much will she pay with a 15% tip
Answer:
Step-by-step explanation:
Hello! So with finding out the total + tax, we just multiply $12.50 by .15 (that is our 15% tip). Then we add that new number to $12.50 and that is the total with the tip! Let's do it,
12.50 * .15 = 1.88
12.50 + 1.88 = $14.38
Hope that helps, let me know if you have questions!
A $400 deposit for 7 years at a compound interest rate of 2%
Answer:
The final balance is $853.63.
The total compound interest is $453.63.
The compound interest on initial balance is $59.47.
The compound interest on additional deposits is $394.16.
The final balance of initial money is $459.47.
The final balance of additional deposit is $394.16.
The sum of the additional deposits is $0.
The total principal (initial balance plus total additional deposits) is $400.
Step-by-step explanation:
with the information you provided
choose as brainliest
NEED ASAP!!!
In PQR, the measure of R=90°, the measure of Q=32°,
and PQ = 43 feet. Find the length of RP to the nearest tenth of
a foot.
Answer:
22.8
Step-by-step explanation:
Answer trsut it or don't i dont care