Answer:
(40,2700)
Step-by-step explanation:
Given
[tex]D(p)=3500-20p[/tex]
[tex]S(p)=2500+5p[/tex]
Required
The equilibrium point
To do this, we have:
[tex]D(p) = S(p)[/tex]
So, we have:
[tex]2500+5p = 3500-20p[/tex]
Collect like terms
[tex]20p+5p = 3500-2500[/tex]
[tex]25p = 1000[/tex]
Divide both sides by 25
[tex]p = 40[/tex]
Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]
[tex]D(40) = 3500 - 20 * 40[/tex]
[tex]D(40) = 2700[/tex]
Hence, the coordinates of the equilibrium is: (40,2700)
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
Change 10 miles per hour to meters per second (hint: you'll need to
change from miles to kilometers, then change kilometers to meters)
how do i do this work shown!!
Answer:
10 miles per hour = 0.1862 meter per second
Step-by-step explanation:
Given
Speed in miles per hour = 10 miles per hour
As we know
1 mile = 1609.34 meters
and 1 hour = 24*60 *60 seconds
Thus, 10 miles per hour in meter per second would be
10 * 1609.34/24*60 *60
= 0.1862 meter per second
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Please help me I need help no links please
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?
1) 93
2) 51
3) 24
4) 192
5) 8
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
Can I get the answer for 3 4 5 6
3) x=190, <BOC=85
4) x=177, <TOU=31
5) x=61, <LOM=110
6) x=55, <DOE=117
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
ABCD is a kite, find the value of y
Answer:
All triangles add to 180 degrees.
180 = 90 + 40 + angle ABX
angle ABX = 180 - 90 - 40
Angle y = 50
Step-by-step explanation:
helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
how do i solve this problem
Answer:
[tex]A\approx 159.6[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
[tex]A=(length)(width)\\[/tex]
Substitute,
[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]
Simplify,
[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)
[tex]A=\frac{(\pi)(r^2)}{2}[/tex]
Substitute,
[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]
Simplify,
[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
[tex]A=A_r+A_s\\[/tex]
Substitute,
[tex]A=140+19.635[/tex]
Simplify,
[tex]A=159.635[/tex]
[tex]A\approx 159.6[/tex]
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
A: A
B: B
C: C
D: D
Show work!
Answer: A
Step-by-step explanation:
Area of a triangle is base times height
We have a base made by point m and n with a length of 6
now the third point has to form a height which when put with the base, gets you 18
area of triangle is bh/2
so lets set height as h, 6x/2 = 18 6x = 36 x = 6
This means the point has to be 6 apart either left or right. Only point that matches this is a.
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
factorise m2+10m-24 please step by step
m^2+10m-24
=m^2+12m-2m-24
=m (m+12)-2 (m+12)
=(m-2)(m+12)
Answer:(m-2)(m+12)
if wrong correct me pls
I hope it helps mate
HAVE A GREAT DAY
#Liliflim
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
Answer:
54 and 30
Step-by-step explanation:
84÷2=42-12=30
42+12=54
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice
Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]
[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]
step 2 : multiply the matrix above to determine the number of mice that will be infected
a) For next week
PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]
i.e. 360 mice will get infected next week
next 2 week = P ( PX )
= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
b) In 3 weeks time
P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]
i.e. 364 mice will get infected in 3 weeks time
