Answer:
5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000
Step-by-step explanation:
M is the Midpoint of AB. Find. the coordinates of A given. M(3, 5) and B(- 1, - 3)
Answer:
(7,13)
Step-by-step explanation:
\(\frac{x-1}{2}\) = 3 Multiple both sides by 2
x - 1 = 6 Add 1 to both sides
x = 7
\(\frac{y -3}{2}\) = 5 Multiple both sides 2
y - 3 = 10 Add 3 to both sides
y = 13
(7,13)
The coordinates of point is A ( 7 , 13 ) whose midpoint is M ( 3 , 5 )
What is the midpoint of two points?
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let A ( x₁ , y₁ ) be the first point
Let B ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Given data ,
Let the first point be A ( x , y )
Let the midpoint M between A and B be = M ( 3 , 5 )
Let the second point be = B ( -1 , -3 )
Now , from the midpoint formula ,
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Substituting the values in the equation , we get
3 = ( x + ( -1 ) ) / 2
Multiply by 2 on both sides of the equation , we get
x - 1 = 6
Adding 1 on both sides of the equation , we get
x = 7
And ,
5 = ( y + ( -3 ) ) / 2
Multiply by 2 on both sides of the equation , we get
y - 3 = 10
Adding 3 on both sides of the equation , we get
y = 13
Therefore , the point A is A ( 7 , 13 )
Hence , the point is A ( 7 , 13 )
To learn more about midpoint between 2 points click :
https://brainly.com/question/29155265
#SPJ2
Which of the following could be a real-world description of 5x − 18?
$18 in addition to the cost of 5 hot dog combos
The cost of 18 people splitting 5 hot dog combos
The cost of hot dog combos less an $18 coupon split by 5 people
$18 less than the cost of 5 hot dog combos
Answer:
$18 less than the cost of 5 hot dog combos
Step-by-step explanation:
First, we see from the minus sign that this will be subtraction. PEMDAS (order of operations) says we do the multiplication first, then the subtraction.
Point G is on line segment FH. Given FG = 5x + 2, GH = 3x – 1, and
FH = 9, determine the numerical length of FG.
Answer:FH = 12
Step-by-step explanation:
Answer Please ⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
if;3=1.98 what about 2
3-1.98
2-?
2×1.98÷3=$1.32
Ans: 2 cans for $1.32Find the vertex of the quadratic equation f(x) = x2 - 4x - 10
Answer:
2
Step-by-step explanation:
Answer:
vertex = (2, - 14 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 4x - 10
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(- 2)x + 4 - 4 - 10
= (x - 2)² - 14 ← in vertex form
with vertex (h, k ) = (2, - 14 )
suppose a population grows according to the logistic equation but is subject to a constant per capita harvest rate of h. if n(t) is the population size at time t, the population dynamics are dn dt
The equation \(\frac{{dN}}{{dt}} = rN(1 - \frac{{N}}{{K}}) - h\), where \(N(t)\) is the population size at time \(t\), \(r\) is the intrinsic growth rate, \(K\) is the carrying capacity, and \(h\) is the constant per capita harvest rate.
The logistic equation is a mathematical model that describes population growth with limited resources. It takes into account the intrinsic growth rate (\(r\)) and the carrying capacity (\(K\)), which represents the maximum population size that the environment can support. However, in this scenario, the population is also subject to a constant per capita harvest rate (\(h\)). This means that a certain number of individuals are harvested or removed from the population at a constant rate per individual.
To incorporate the harvest rate into the logistic equation, we subtract the harvest rate (\(h\)) from the growth term. The growth term \(rN(1 - \frac{{N}}{{K}})\) represents the intrinsic growth of the population, where \(rN\) represents the potential growth rate without any limitations, and \((1 - \frac{{N}}{{K}})\) represents the factor that slows down the growth as the population approaches the carrying capacity.
By subtracting the harvest rate (\(h\)), we account for the individuals that are removed from the population due to harvesting. The harvest rate is constant per capita, meaning that it applies to each individual in the population regardless of its size. Therefore, the total harvest is proportional to the population size (\(N\)).
The resulting equation \(\frac{{dN}}{{dt}} = rN(1 - \frac{{N}}{{K}}) - h\) describes the population dynamics under the influence of both intrinsic growth, limited resources (carrying capacity), and the constant per capita harvest rate.
Learn more about population dynamics here:
brainly.com/question/29910340
#SPJ11
The volume of a cube is 8mm3.
What is the length of its side?
Answer:
the length of cube
is 2 mm
Answer:
2m
Step-by-step explanation:
A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height
Let the side of cube be x.
Then Volume of cube = x * x * x
So, length (side) of cube is 2m
Could you help me??/
Seven faces, fifteen edges and ten vertices.
Answer:
7 faces
15 edges
10 vertices
El cubo de la quinta parte de un número
Answer:
125
Step-by-step explanation:
A convex polyhedron is made of 12 congruent faces like the one shown below. What is the name of the solid? A) dodecahedron ANSWER: A B) icosahedron C) pentagonal pyramid D) pentagonal prism
Answer: dodecahedron
Step-by-step explanation:
Answer:
Option A
Explanation:
Decahedron
what is the value of x
Como simplifico la fracción 75/1746
lim x->3- f(x) i need to find the answer to this equation
PLEASE HELP ME WHAT IS. THIS X^2+5x+4
Answer: (x+1)(x+4) is the solution
Step-by-step explanation:
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
(x+1)(x+4)
Step-by-step explanation:
x²+5x+4
x²+4x+x+4
x(x+4)+1(x+4)
(x+1)(x+4)
What is the image of the point (-8, 3) after a rotation of 270°
counterclockwise about the origin?
Answer:
(3,8)
I hope it helps.
School yearbooks were printed and the table shows the number of people who bought them the first, second, third, and fourth weeks after their release .which graph could represent the data shown in the table? Table and options below!
PLS HURRY!30 POINTS ANS BRAINLEST!
Answer: The correct graph that would depict the table correctly would be the first one listed. There is a sudden increase in the last day which would cause the graph to curve. Hope this helps you out! If you need anything else I'm here to help.
The function is an increasing function. The graph that represents the table will be A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The table is given below.
Week Number of sales
1 84
2 102
3 158
4 271
The slope at different will be given as,
m₁ = (102 - 84) / (2 - 1)
m₁ = 18
m₂ = (158 - 102) / (3 - 2)
m₂ = 56
m₃ = (271 - 158) / (4 - 1)
m₃ = 113
The capability is a rising capability. The diagram that addresses the table will be A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
PLeassssse HELPPPP!!!
Answer:
B i believe is the answer
Step-by-step explanation:
If 141 people attend a concert and tickets for adults cost $3.25 while tickets for children cost $1.75 and total receipts for the concert was $345.75, how many of each went to the concert
There were 69 adults and 72 children who attended the concert.
Let's assume that the number of adult tickets sold is represented by A, and the number of children tickets sold is represented by C. We have two equations based on the given information:
A + C = 141 (Equation 1)
3.25A + 1.75C = 345.75 (Equation 2)
From Equation 1, we can rewrite it as A = 141 - C and substitute it into Equation 2:
3.25(141 - C) + 1.75C = 345.75
Expanding and simplifying the equation, we get:
458.25 - 3.25C + 1.75C = 345.75
-1.5C = -112.5
C = 75
Substituting the value of C into Equation 1, we find:
A + 75 = 141
A = 66
Therefore, there were 66 adults and 75 children who attended the concert.
To learn more about “equations” refer to the https://brainly.com/question/2972832
#SPJ11
Which is greater: 11/3 or the square root of 20?
Answer:
sqrt 20
Step-by-step explanation:
Plug into calculator
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
More can be learned about compound interest at https://brainly.com/question/24274034
#SPJ1
Can you help me with this
Answer:
Step-by-step explanation:
3x + 8 = 4x + 4
-x + 8 = 4
x = 4
answer is A
Suppose water flows from a shower at a rate of .35 cubic feet per minute. Do you use more water by taking a 15 minute shower or by filling a bathtub with .5 cubic yards of water?
To determine whether taking a 15-minute shower or filling a bathtub with 0.5 cubic yards of water uses more water, we need to compare the amount of water used in each scenario.
By converting the measurements to the same unit, we can determine that taking a 15-minute shower uses less water than filling a bathtub.
To make a valid comparison, we need to convert the measurements to the same unit. Since the flow rate of the shower is given in cubic feet per minute, we will convert the volume of water in the bathtub to cubic feet.
First, we convert 0.5 cubic yards to cubic feet. Since 1 cubic yard is equal to 27 cubic feet, 0.5 cubic yards is equal to 0.5 * 27 = 13.5 cubic feet.
Next, we can calculate the amount of water used in each scenario:
Taking a 15-minute shower: 0.35 cubic feet/minute * 15 minutes = 5.25 cubic feet
Filling the bathtub: 13.5 cubic feet
Comparing the two amounts, we can see that taking a 15-minute shower uses less water (5.25 cubic feet) compared to filling the bathtub (13.5 cubic feet).
Therefore, taking a 15-minute shower uses less water than filling a bathtub with 0.5 cubic yards of water.
Learn more about cubic yards here:
https://brainly.com/question/17652034
#SPJ11
Jared has just turned 40 years old and he has retirement savings in an IRA. How many years will he have to wait to be able to withdraw money without penalty?
A. 59.5
B. 70.5
C. 19.5
D. 20.5
There are 19.5 years will he have to wait to be able to withdraw money without penalty.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
Jared has just turned 40 years old and he has retirement savings in an IRA.
Since, We know that;
After 60 years age for withdraw money penalty have been generate.
Hence, Number of years will he have to wait to be able to withdraw money without penalty is,
⇒ 59.5 - 40
⇒ 19.5
Thus, There are 19.5 years will he have to wait to be able to withdraw money without penalty.
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ5
Solve by the square root method
5x²-20=0
Answer:
The answer is 2
Step-by-step explanation:
5x² = 20
x² = 4
x = 2
Out of the 20 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's
class have a pet?
The percent of students in Mrs. Green's class that have a pet is _____
%.
A ball was projected into the air with an initial upward velocity of 72 feet per second. The quadratic function graphed below shows the height, h, of the ball t seconds after it was projected into the air.
What is the domain of the function for this situation?
Question 20 options:
0≤t≤4.5
0
0
0≤h≤80
The domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].
How to determine the domain of the function of the height of the ball in function
All functions are relations in which there is no value of the domain related to more than one value of the range, functions in explicit form related the variable of the range in terms of the variable of the domain.
Based on the information shown in the graph, the domain is represented by the set of values of the time, that is, the horizontal axis, and the range is represented by the set of values of the height, that is, the vertical axis.
Hence, the domain is represented by the set of values of the time, that is, the horizontal axis, and the domain of the given function is represented by t ∈ [0, 4.5].
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/12431044
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
I NEED ANSWERS!! QUESTION 13
Answer: i dont know sorry
Step-by-step explanation:
Answer:
118
Step-by-step explanation:
solve the simultaneous equations
5x-2y=4
3x-6y=6
The girl's basketball team played a game this Wednesday. Here are some of the statistics for the players from
the game
The individuals in this set are:Choose 1 Answer
A.Basketball Games
B.Basketball Scores
C.Basketball Players
This data contains:Choose 1 Answer
A. 3variables,1 of which is quantitative
B. 3 variables,2 of which are quantitative
C. 5 variables, 1 of which is quantitative
D. 5 variables, 2 of which are quantitative
The individuals in this set are C) Basketball players
This is because it's listing all the player names with their associated stats.
====================================================
The data contains B) 3 variables, 2 of which are quantitative
The variables are
free throw percentageassistsclassThe first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.
This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.
What are quantitative variables?A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.
The quantitative variables are free throw percentage and the number of assists.
To learn more about quantitative variables, please check: https://brainly.com/question/14583272
#SPJ2