Answer:
To find out how many weeks it will take for the pea aphid population to reach 9,600 individuals, we need to determine how many times the population needs to double to reach that number.
We can use logarithms to find this out. Using the rule log(A) / log(B) = log(A) to base B, we can calculate the number of times the population needs to double.
log(9600) / log(2) = log(9600) to base 2 = 9.98
So the population needs to double 9.98 times.
Since the population doubles every week, it will take 9.98 weeks for the population to reach 9,600 individuals.
Vote Branliest!
Answer: 5 weeks
Step-by-step explanation: Based on the information given, let's conduct an equation. It'd look something like this:
300 * [tex]2^{x}[/tex] = 9600
Now, we need to "reduce" the greatest common factors on both sides of the equation. This is so we can find the value of "x" It should look like this:
[tex]2^{x}[/tex] = 32
Now, we need to covert both sides to have the same base, which should look like this:
[tex]2^{x} = 2^{5}[/tex]
Based on the information given, we now know that x = 5, making it have a constant rate of 5 weeks to reach 9,600 individuals. I hope this helped!
9n - 7 = ______________________________________
Answer: 9n-7
Step-by-step explanation:
9n-7 because there are no like terms
A free bus service operates throughout the day around Brelney City Centre. The bus starts from the Railway Station, then stops successively at the Castle, the Shopping Centre, the Park and the Stadium, before returning to the Railway Station. The journey time for each section of the circuit is 5 minutes.
The first departure of the day from the Railway Station is at 09:15. Each time the bus arrives back at the Railway Station it waits for 10 minutes before setting off again.Bart will be the driver for the first 4 circuits tomorrow.At what time will Bart arrive back at the Railway Station for the final time tomorrow?
A 11:25
B 11:35
C 11:45
D 11:55
Answer:
The bus journey takes 25 minutes (5 minutes per stop x 5 stops). The bus leaves the Railway Station every 10 minutes (the wait time between circuits).
The first departure is at 09:15, so the bus will arrive back at the Railway Station at:
09:15 + 25 minutes = 09:40
Bart will drive the bus for 4 circuits, so the bus will arrive back at the Railway Station for the final time at:
09:40 + (4 x 25 minutes + 4 x 10 minutes) = 09:40 + 130 minutes =
11:50.
So the final arrival time will be D 11:55.
Answer:
Step-by-step explanation:
Each circuit takes 25 minutes (5 destinations times 5 minutes) plus the 10 minute wait at the Railway Station. So the entire circuit is 35 minutes with the wait. Bart drives 4 circuits - 4 times 35 minutes is 140 minutes.
140 minutes equals 2 hours and 20 minutes.
Add 2 hrs and 20 minutes to 9:15 and the sum = 11:35
The answer is B - 11:35
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily
be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your
estimate when compared to the actual answer?
348 +598
is O
Round the two numbers to the nearest ten. An estimate of the sum is
More
x 946 is not answer also I need help this homework math please
Answer: it should be 946, maybe you worded Wong
Step-by-step explanation:
o obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.
348 rounded to the nearest ten is 350
598 rounded to the nearest ten is 600
So, our estimate for the sum of 348 + 598 is 350 + 600 = 950
Using a calculator, the actual computation is 348 + 598 = 946
Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.
Please look at the picture and answer the question thank you
Answer:
[ 5, ∞ )
Step-by-step explanation:
brackets on the ends of the interval indicate x can equal the value inside the bracket
parenthesis on the ends of the interval indicate x cannot equal the value inside the parenthesis.
x ≥ 5
expressed in interval notation as
[ 5, ∞ )
Casey deposited $1,850 in a bank account that earned simple interest at an interest rate of 4%. How much interest, in dollars, was earned in 8 years?
Answer:
$1850×4÷100×8=$592 as interest
Sum up the series 2/3+5/9+8/27+11/81+..... to n terms
Hope it helps.
If you have any query, feel free to ask.
HELP MEEEEEE
10 Answer:
Evaluate the expression 7 + x + (-3) when x = 2:
11 Answer:
Evaluate the expression 4x2 + 2 when x = 2.
12 Answer:
Evaluate the expression |x + 10| when x = -12.
13 Answer:
Evaluate the expression |2x + 1| when x = 3/2.
14 Answer:
Evaluate the expression (x - 3)/4 when x = 4.
15 Answer:
Evaluate the expression (5 - x)/6 when x = 3.
The value of expression is ,
10) 6
11) 18
12) 2
13) 4
14) [tex]\frac{1}{4}[/tex]
15) [tex]\frac{1}{3}[/tex]
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here the given expression
10) 7+x+(-3)
Put x=2 then
=> 7+2-3
=> 7-1 = 6
11) 4[tex]x^2[/tex]+2
put x=2 then
=> [tex]4*2^2+2[/tex]
=> 4*4+2
=> 16+2=18
12) Ix+10I
put x=-12 then
=> I-12+10I
=> I-2I = 2
13) |2x + 1|
put x= 3/2 then
=> I2*[tex]\frac{3}{2}[/tex]+1I
=> I3+1I
=> I4I = 4
14)(x - 3)/4
put x=4 then
=> [tex]\frac{4-3}{4}[/tex]
=> [tex]\frac{1}{4}[/tex]
15) (5 - x)/6
put x=3 then
=> [tex]\frac{5-3}{6}[/tex]
=> [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
To learn more about expression refer the below link
https://brainly.com/question/112703
#SPJ1
HELP PLEASE
I HAVE A 15 MINUTS PLEASE HELP ME
The equation perpendicular to the line is y= −1/2 x. Therefore, option B is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
In the given graph, the coordinates are (2, 3) and (0, -1)
Slope m=(-1-3)/(0-2)
= -4/(-2)
m=2
Substitute m=2 and (x, y)=(2, 3) in y=mx+c, we get
3=2(2)+c
c=-1
Substitute m=2 and c=-1 in y=mx+c, we get
y=2x-1
Find any equation perpendicular to the line.
y= −1/2 x
Therefore, option B is the correct answer.
To learn more about the the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ1
Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning.
Therefore , the solution of the given problem of scatter plot comes out to be Line 3 to the right of the graph is best fit line.
What is scatter plot?Line of best fit refers to a line through a scatter plot of data points that best expression the relationship between those points.The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
Here,
In the xy plane, a scatter plot is displayed. The x-axis has values from 0 to 9 with 1 increments, while the y-axis has values from 0 to 9 with 1 increments.
On the x-axis, data points range from 0 to 3; on the y-axis, they range from 0 to 8.5. There are three lines marked Line 1, Line 2, and Line 3. Line 1 connects the points in a way that places the majority of the points on the left of the line,
Line 2 connects the points in a way that places the majority of the points on both sides of the line, and Line 3 connects the points in a way that places the majority of the points on the right of the line.
Line 3 to the right of the graph is best fit line
Learn more about this scatter plot here:
brainly.com/question/11799556
#SPJ1
Graph the line that has a slope of 1/6 and includes the point (0,2)
Answer:
y=1/6x+2 is the slope formula.
The equation of a line passing through the point (0,2) and having slope 1/6 is: x-6y+12=0
Step-by-step explanation:
Equation of a line passing through a point (x1,y1) and having slope m is: [tex]y-y_{1} =m(x-x_{1} )[/tex]
where m= slope of the line
Given point (x1 , y1)= (0 , 2)
So, the Equation of a line: [tex]=y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-2 =(\frac{1}{6} )(x-0 )[/tex]
[tex]y-2 =(\frac{1}{6} )(x)[/tex]
[tex]6*(y-2) =(x)[/tex]
[tex]6y-12=x[/tex]
[tex]6y-12-x=0[/tex]
[tex]-x+6y-12=0[/tex] OR [tex]x-6y+12=0[/tex]
To learn more about "Equation of Line" here:
brainly.com/question/18831322
An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are β = 6° and θ = 10.5° (see figure). How far apart are the ships? (Round your answer to one decimal place.) ft
Answer:
28.1 ft
Step-by-step explanation:
d = 350 * ( tan 10.5 - tan 6) = 28.1 ft
Each survey respondent is asked to rate a specified supermarket based on a variety of factors such
as quality of products, selection, value, checkout efficiency, service, and store layout. An overall satisfaction score summarizes the
rating for each respondent with 100 meaning the respondent is completely satisfied in terms of all factors. Sample data
representative of independent samples of Publix and Trader Joe's customers are shown below.
Publix
N₁= 250
X bar 1= 86
Trader Joe's
N₂ = 300
X bar ₂ = 85
p-value= (to 3 decimals)
There is no difference between the population mean customer satisfaction scores for the two retailers, according to p-value: 0.33049.
what is random sample ?chosen at random (purely random, unpredictable). Every person in the demographic being surveyed should have an equal chance of being chosen. She gave an example of a simple representative sample, choosing 25 names at random from a group of 250 employees. The sampling in this case is random since there are 250 of her coworkers in total, and every one has an equal chance of being picked. Researchers select people at random from a population using simple random sampling, which is a type of probability sampling. Every member of the population is given an equal chance at selection.
Given that,
mean(x)=86
standard deviation , σ1 =12
number(n1)=250
y(mean)=85
standard deviation, σ2 =12
number(n2)=300
null, u1 = u2
alternate, H1: μ1 != u2
level of significance, alpha = 0.05
we got |zo | =0.973 & | z alpha | =1.96
(b) test statistic: 0.97
There is no difference between the population mean customer satisfaction scores for the two retailers, according to p-value: 0.33049.
To know more about random sample visit:
https://brainly.com/question/29852583
#SPJ1
Which of the following inequalities is modeled by the graph? (5 points)
Ox + 4y = 15; y ≥ 0
Ox - 4y ≥ 15; y ≥ 0
Ox+4y ≤ 15; y ≥ 0
O-x - 4y ≥ 15; y ≥ 0
The graph shows that the x-values increase as the y-values increase, which is consistent with the inequality x+4y ≤ 15. The y-values are all greater than or equal to 0, which is consistent with the inequality y ≥ 0.
What is inequality?Inequality is the unequal distribution of resources or opportunities among different individuals, groups, or social classes. It is a situation in which some individuals or groups have significantly more resources or opportunities than other individuals or groups. Inequality can be seen in terms of income, wealth, social class, access to education and health care, political power, or other factors. Inequality can be caused by systemic oppression and discrimination, or by the unequal distribution of resources within a society. It can have a negative impact on the ability of individuals and groups to meet their basic needs and achieve their full potential.
To learn more about inequality
https://brainly.com/question/25944814
#SPJ1
how to round 456.173 to the nearest hundredth?
Answer:
456.17
Step-by-step explanation:
Rounding to the nearest hundredths' is asking is the number given 456.173 closer to 146.170 or 146.171. You can see that the number is closer to 146.170 which is the same number as 146.17
Rule
Look at the digit in the thousandths' place. In this case 3. If this number is 5 or greater round up, if this number is 4 or smaller round down. We will round down.
456.17
Answer:456.17
Step-by-step explanation:
If the thousandth place is 5-9, for example 456.178, the answer rounded to hundredth place will be 456.18.
But if the thousandth place is 1-4, the answer rounded to hundredth will be 456.17.
So the answer is 456.17.
One number is fourteen less than the other. If their sum is increased by seven, the result is 83. Find the numbers
Answer:
Let's call the two numbers x and y. We know that:
y = x + 14 (because one number is 14 more than the other)
x + y + 7 = 83 (because the sum of the two numbers plus 7 is 83)
We can substitute the first equation into the second equation:
x + (x + 14) + 7 = 83
Simplifying this equation:
x + x + 14 + 7 = 83
2x + 21 = 83
2x = 62
x = 31
So one number is 31 and the other number is 45 (since one is 14 more than the other).
1. Amanda is attempting to launch a model rocket over the roof of her two-story house.
The path of the rocket, without consideration of the house, can be modeled by a
quadratic equation, where y represents the distance above the ground in yards
and x represents the horizontal distance in yards away from Amanda.
•The rocket will be launched from the ground 1 yard in front of Amanda.
•The rocket will reach a maximum height of 16 yards above the ground when the
rocket is 5 yards in front of Amanda as measured along the ground.
• The rocket would land on the ground 9 yards in front of Amanda.
Which equation represents the rocket's path?
A model rocket is launched from the roof of a building. It's flight path is modeled by -5t^2 + 30t + 10 and the Distance from ground = 10 + height after 3 sec
How to determine when is lands?Where h is the height of the rocket above the ground in meters and t is the time after the launch in seconds.
Ans as h = -5t2+30t+10
at t=0, H = 10, which is height of the building from the ground
at t= 2 sec
h= -5.4+30.2+10
= -20+60 +10 = 50 m
For max height dh/dt = 0
-10t+30 = 0
t=3 sec
Therefore, the Distance from ground = 10 + height after 3 sec
Learn more about Distance on https://brainly.com/question/15172156
#SPJ1
Graph the equation y=|x-1|-2
Answer:
if it is bracket than see explanation
darw a table with
x 3 5 -4
y 0 2 -7
taking x as 3 so
y= (3-1)-2
= 0
so like this do by 5 also and -4 too
and after solving plot in in the graph
Write a polynomial equation with integer coefficients that has the given roots. x=-2 x=3
Answer:
[tex]\boxed{x^2 - x - 6}[/tex]
Step-by-step explanation:
If a is the root of a polynomial then x-a is a factor of that polynomial
Since - 2 is a root, x -(-2) = x + 2 is a factor
Since 3 is a root, x - 3 is a factor
Multiplying the factors of a polynomial gives you the polynomial equation
So the polynomial equation is
[tex](x + 2)(x-3)[/tex]
Apply FOIL method:
[tex](x + 2)(x-3) \\\\= x\cdot x+ x\left(-3\right)+2x+2\left(-3\right)\\\\= x^2 -3x + 2x -6\\\\x^2 - x - 6\\\\Answer: \boxed{x^2 - x - 6}[/tex]
Please help me out I need help
Answer:
DE = 9
Step-by-step explanation:
Given quadrilateral DEFG with DG≅EF, ∠FDG≅∠DFE, and markings EF=(6x+4), DG=(4x+8), and FG=(4x+1), you want the measure of DE.
ParallelogramThe given congruences mean that the figure DEFG is a parallelogram. Opposite sides are the same length.
EF = DG
6x +4 = 4x +8
2x = 4 . . . . . . . . subtract (4x+4)
x = 2 . . . . . . . . divide by 2
Now, we can find FG.
FG = 4x+1 = 4(2) +1 = 9
Opposite side DE is the same length:
DE = 9
__
Additional comment
You can prove ΔEFD ≅ ΔGDF using SAS. Then CPCTC tells you corresponding parts of the triangles are congruent: DE≅FG.
the quotient of 18 and a number a as an experision
The expression is 18/a
What is an algebraic expression?An algebraic expression can be described as mathematical expressions consisting of variables, coefficients, terms, factors and constants.
They are also made up of arithmetic operations, such as;
BracketParenthesesDivisionAdditionSubtractionMultiplication, etcWhat is quotient?A quotient can be defined as a quantity determined by the division of two numbers.
From the information given, we have that;
the quotient of 18 and a number a
This is represented as;
18/a
Hence, the representation is 18/a
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Question 3
{(-1, 1), (1, 1), (-2, 4), (2,4)}
Is the relation a function and why?
Ayes each input has exactly one output
Byes each output has been repeated
C no the inputs are not repeated
D no the inputs cannot have the same output
The given relation {(-1, 1), (1, 1), (-2, 4), (2, 4)} is a function because: A. yes each input has exactly one output.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two (2) or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).
In this context, we can reasonably infer and logically deduce that given relation is a function because each input variable (domain) has exactly an output variable (range) as illustrated below;
x F(x)
-1 1
1 1
-2 2
2 4
Read more on function here: brainly.com/question/3632175
#SPJ1
Please help thank you!
Answer:
i think its done like this
Answer:
12
Step-by-step explanation:
[tex] area = \frac{1}{2} \times \: base \times \: height \\ \frac{1}{2} \times 6 \times height \: = 36 \\ height \: = \frac{36}{3} \\ = 12 \: feet[/tex]
Julia is allowed to watch no more than 6 hours of television a week. So far this week, she has watched 2.5 hours. Write and solve an inequality to show how many hours of television Julia can still watch this week
Answer: We can write an inequality to show how many hours of television Julia can still watch this week by using the following information:
Julia is allowed to watch no more than 6 hours of television a week.
So far this week, she has watched 2.5 hours.
We can use the inequality x + 2.5 <= 6, where x is the number of hours Julia can still watch this week.
This inequality represents the total number of hours watched (x + 2.5) being less than or equal to the maximum number of hours allowed (6).
To solve this inequality, we can subtract 2.5 from both sides:
x <= 6 - 2.5
x <= 3.5
So, Julia can still watch 3.5 hours of television this week.
Step-by-step explanation:
Answer:
The remaining hours of TV Julia can watch this week can be expressed as
[tex]x \leq 3.5hours[/tex]
Step-by-step explanation:
since Julia is allowed not to watch not more than 6 hours of television a week and she has watched 2.5 hours already
the remaining time (X) would be expressed as
[tex]x \leq (6 - 2.5)[/tex]
[tex]x \leq 3.5[/tex]
Thank you everybody in advance for your kind attention and cooperation!
Seats for Sale
State's football program has risen to the ranks of the elite with postseason bowl games in each of the past 10 years, including a national championship game. The Bruins (as the fans are called) fill the stadium each game. Season tickets are increasingly difficult to find. In response to the outstanding fan support, State has decided to use its bowl revenues to expand the stadium to 75,000 seats.
The administration is confident that all 75,000 seats can be sold at the normal price of $40 per game ticket; however, Frank Pinto's job, as athletic director, is to get as much revenue out of the stadium expansion as possible. In addition to stadium boxes for wealthy alums, Frank would like to take this opportunity to repurpose existing seats. A certain number of seats (yet to be determined) would be set aside for premium ticket holders who would pay $200 per ticket for the privilege of 50-yard line seats with chair backs and access to indoor concessions. The question is, how many fans would be willing to pay such a premium? If too many seats are designated in the premium sections, they could remain vacant. Too few premium seats would lose potential revenue for the program.
Frank has decided that if the plan has any chance of success, unsold premium seats should not be sold at reduced rates. It would be better to donate them to local charities instead. Gathering data from his cohorts at peer institutions, Frank has put together the following probability distribution of premium ticket holders. The data begin with 1000 tickets since Frank already has requests for 999 tickets from alumni donors. He is asking for your help in performing the analysis.
No. of Premium Tickets Probability
1,000 0.10
5,000 0.30
10,000 0.24
15,000 0.15
20,000 0.10
25,000 0.06
30,000 0.05
a. Using revenue management, determine how many seats should be reserved for premium ticket holders.
b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?
c. The administration is unsure about Frank's plan. The VP of finance thinks an expected value of the number of premium seats would produce better results. How would the number of premium seats change using expected value? Considering the possible outcomes, which approach yields the most potential revenue?
Answer:
b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?
(Look at picture) and ty for the help btw………….lol
Answer:
Step-by-step explanation:
PLEASE HELPPPPPPPPP!!!!!!!
Answer:
A 10
Step-by-step explanation:
a proportional relationship is defined as
y = kx
k is the constant of proportionality, because it is constant for this function for any value of x.
it is usually called the slope of the line or rate of change.
these are special lines : lines that go through the origin (0, 0).
and for these lines people often call k the constant of proportionality.
as we can see right in the given equation, this constant of proportionality is 10.
I WILL MARK BRAINLIEST RNN
Answer:
maximum value = 2
Step-by-step explanation:
the maximum value of the function is the y- coordinate of its vertex
given a quadratic function in standard form
y = ax² + bx + c (a ≠ 0 )
then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = - x² + 2x + 1 ← is in standard form
with a = - 1 and b = 2 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{2}{-2}[/tex] = 1
to find the y- coordinate of the vertex, substitute x = 1 into y
y = - 1² + 2(1) + 1 = - 1 + 2 + 1 = 2
then maximum value of the function is 2
The distance around the wheel of a truck is 10.45 feet. What is the diameter of the wheel?
The diameter of the wheel of the truck is 3.33 feet.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
The distance around the wheel of a truck is 10.45 feet.
Let the diameter of the wheel = d feet.
Circumference of the wheel
= Distance around the wheel,
πd = 10.45 feet.
d = (10.45/π) feet.
Here, we take the π = 3.14.
So,
d = 3.326
d = 3.33
Therefore, the diameter is 3.33 feet.
To learn more about the diameter;
https://brainly.com/question/5501950
#SPJ1
Find a unit vector in the direction opposite of ⟨−9,−2,−8⟩.
A unit vector u in the direction opposite of ⟨−9,−2,−8⟩ is ⟨-9/√(149) , -2/√(149) , -8/√(149) ⟩
What are vector equations ?
Vector equations allow for the creation of parametric curves. That is, points in space are formed for each value of the parameter by the equation of a vector, where each of its elements has a function with an independent variable that we refer to as a parameter.
Let unit vector u be = k⟨−9,−2,−8⟩.
√(81k^2 + 4k^2 + 64k^2) = 1
SO k = 1/√(149)
So a unit vector u in the direction opposite of v=⟨−9,−2,−8⟩ = (-9/√(149) , -2/√(149) , -8/√(149))
To learn more about the vector equation from the given link
https://brainly.com/question/11086244
#SPJ1
Simply the ratio of univariate monomials
32y^6/20y^2
The simplified form of the univariate monomial expression as requested in the task content is; 1.6 y⁴.
What is the simplified form of the univariate monomial?It follows from the task content that the simplified form of the univariate monomial expression is to be determined.
Since the given expression is;
32 y⁶ / 20 y²
The expression can be simplified as follows;
( 32 / 20 ) • y⁶ / y²
= 8/5 • y⁴
= 1.6 y⁴.
On this note, it can be inferred that the simplified form of the expression is; 1.6 y⁴.
Read more on indices;
https://brainly.com/question/15361818
#SPJ1
