Answer: 3 or 4
Step-by-step explanation:
A gas station is open 365 day a year, 24 hours a day. The store owner estimates that they served 40,000 cups of coffee last year. This quantity can also be expressed asfunctionsequation editorcups of coffee per hour (round to the nearest whole cup). This is a ? reasonable not reasonable estimate.
The quantity can also be expressed as a function equation in cups of coffee per hour is; f(x) = 5x
How to Solve function word problems?
We are told that a gas station is open for the 365 days of the year and 24 hours each day.
Thus,
Total number of hours in the year = 365 * 24 = 8760 hours
Now, the number of cups they served for the year = 40000 cups
Now, the rate of cups per hour = 40000/8760 = 4.566 ≈ 5 cups per hour
The quantity can also be expressed as a function equation in cups of coffee per hour; f(x) = 5x
where;
x is the number of hours
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What is the distance between -45 and 65
Answer:
110
Step-by-step explanation:
What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?
To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:
∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞
The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.
It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:
(-45) - (+65) = -110
|-110| = 110
That's it! The Difference between -45 and +65 is as follows:
110
a researcher obtains a list of all prisons in the u.s. she draws a random sample of 75 of the prisons on this list. she then obtains a list of all inmates from the warden at each of the 75 prisons and interviews a random sample of 30 inmates at each prison. this is a:
The researcher draws a random sample using a Multistage cluster sample
At each stage, you use smaller and smaller groups (units) to select a sample from a population. National surveys are frequently used to collect data from a large, geographically dispersed group of people. To use as your sample, you randomly select individual units from the cluster.
In multistage cluster sampling, the population is divided into clusters and some clusters are chosen in the first stage. You continue to break up the selected clusters into smaller clusters at each subsequent stage, and you do this until you reach the final step. In the final step, only a few members of each cluster are chosen for your sample.
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What is the volume of the cylinder when the radius is 10 and the height is 15
Answer:
V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898
help me bro fr i need dis done
Answer: 6^5 = 6^3 * 6^2
When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.
write a equation that passes through the points 5,2 and 2,8
Answer:
y = -6/3x + 8
Step-by-step explanation:
what is this polygon called and is it a regular polygon or irregular polygon
Answer:
hexagon because it have 6 sides
Step-by-step explanation:
it is irregular because it sides are not equal
THIS POLYGON IS IRREGULAR BECAUSE THIS IS HEXAGON AND IT IS IRREGULAR
an hexagon is a six sided irregular polygon
What is polygon?
a simple closed curve which does not interest itself made up if only line system is called a polygon
REGULAR POLYGON- polygon whose all side are of equal length and all angles are of equal measure
are called regular polygon
EX - SQUARE
IRREGULAR POLYGON- polygon which are not regular are called a regular polygon quadrilateral and Isosceles triangle is an example
|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
List down all the even numbers between 50-80
52,54,56,58,60,62,64,66,68,70,72,74,76,78
Mckenna was asked to write the following expression in standard form. 3-5(3a 6)3−5(3a 6) when writing the expression in standard form, mckenna made a mistake. \begin{array}{rrr}3-5(3a 6)
The first mistake McKenna made when change the expression to standard form is in step 2.
What is PEMDAS?PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.
For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.
In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.
You question is incomplete, but most probably your full question was
McKenna was asked to write the following expression in standard form.
3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.
3−5(3a+6)
3+(−5)(3a+6) Step 1
−2(3a+6) Step 2
−6a+(−12) Step 3
−6a−12 Step 4
McKenna made her first mistake in
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Which of the following is not an assumption of the regression model?
A) Linearity
B) Independence
C) Homoscedasticity
D) Multicollinearity
In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.
The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.
Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.
Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.
Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.
Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.
Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.
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Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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SOMEONE PLEASE ANSWER THIS ASAP!!
The population of Arlington High School can be modeled using the equation P(t) = 3,500(1.027)^t , where t represents the number of years since 2010
Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation.
How do you interpret the statement that P(6)= 4,107
SOMEONE PLEASE ANSWER THIS
Step-by-step explanation:
Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing
If p(6)= 4107 that means after 6 years there would be a total population of 4107
Please help
X-2
If = k and k = -4, what is the value of x?
5
Answer:
C
Step-by-step explanation:
So we have the equation:
\(\frac{x-2}{5}=k\)
And we want to find the value of x such that k is -4.
To do so, we can substitute -4 for k and then solve for x.
So, substitute -4 for k:
\(\frac{x-2}{5}=-4\)
And now, we just have to solve for x.
Let's multiply both sides by 5:
\((5)\frac{x-2}{5}=5(-4)\)
The left side cancels. Multiply on the right:
\(x-2=-20\)
Now, let's add 2 to both sides:
\((x-2)+2=(-20)+2\)
The left side cancels again. Add on the right:
\(x=-18\)
Therefore, the value of x is -18.
Our answer is C.
And we're done!
John is planning a party. There are 28 pieces of carrot cake and 7 pieces of marble cake. He wants to create plates with the same number of each type of cake. What is the greatest number of plates he can create?
Answer:
Hey there!
He can create 7 plates at most, with one carrot cake and one marble cake on each plate.
Hope this helps :)
You have an assignment due in 2 hours, 30 minutes (150 minutes total). The assignment has 25 problems for you to complete. If you have not started yet and spend the same amount of time on each problem, how much time can you spend on each problem and complete all 25 problems in time?
Create and solve a linear inequality to determine how much time you can spend on each problem.
What does your solution from part (a) represent/mean?
PLEASE HELP !!!!!!!!!!!!!!!!!!!
Answer:
\(t \le 6\) min
Step-by-step explanation:
The time to do 25 problems should take less than (or equal to) the 150 minutes available.
\(25t \le 150\\t \le 6\)
Samantha, Danielle, Jeff, and Isaac share minutes on their cell phone plan. Samantha used 1/4 of the minutes, Danielle used 0.5 of the minutes, and jeff used 0.2 of the minutes. what percent of the cell phone plan minutes are left for Issac to use? please help asap
The matrix A=[4−2 4−5] has an eigenvalue λ=−4. Find an eigenvector for this eigenvalue. Note: You should solve the following problem WITHOUT computing all eigenvalues. The matrix B=[−2 −1 −1−2] has an eigenvector v=[−22]. Find the eigenvalue for this eigenvector. λ= ___
An eigenvector for the eigenvalue λ = -4 is v = [1; 4]. The eigenvalue for the eigenvector v = [-2; -2] is undefined or does not exist.
(a) To find an eigenvector for the eigenvalue λ = -4 for the matrix A = [4 -2; 4 -5], we solve the equation (A - λI)v = 0, where I is the identity matrix and v is the eigenvector.
Substituting the given values, we have:
(A - (-4)I)v = 0
(A + 4I)v = 0
[4 -2; 4 -5 + 4]v = 0
[8 -2; 4 -1]v = 0
Setting up the system of equations, we have:
8v₁ - 2v₂ = 0
4v₁ - v₂ = 0
We can choose any non-zero values for v₁ or v₂ and solve for the other variable. Let's choose v₁ = 1:
8(1) - 2v₂ = 0
8 - 2v₂ = 0
2v₂ = 8
v₂ = 4
Therefore, an eigenvector for the eigenvalue λ = -4 is v = [1; 4].
(b) To find the eigenvalue for the eigenvector v = [-2; -2] for the matrix B = [-2 -1; -1 -2], we solve the equation Bv = λv.
Substituting the given values, we have:
[-2 -1; -1 -2][-2; -2] = λ[-2; -2]
Multiplying the matrix by the vector, we get:
[-2(-2) + (-1)(-2); (-1)(-2) + (-2)(-2)] = λ[-2; -2]
Simplifying, we have:
[2 + 2; 2 + 4] = λ[-2; -2]
[4; 6] = λ[-2; -2]
Since the left side is not a scalar multiple of the right side, there is no scalar λ that satisfies the equation. Therefore, the eigenvalue for the eigenvector v = [-2; -2] is undefined or does not exist.
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Find the measure of the missing angles.
Applying the vertical angle theorem, the measure of the missing angles are:
e = 31
f = 72
d = 77
What is the Vertical Angle Theorem?The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.
Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,
e = 31 degrees.
Also, d = 77 degrees [vertical angles theorem].
e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].
Substitute the value of e into the equation
31 + 77 + f = 180
108 + f = 180
Subtract 108 from both sides
108 + f - 108 = 180 - 108
f = 72 degrees.
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How to find the perimeter of a right triangle using Pythagorean
Answer:
12
Step-by-step explanation:
Brody has pulled 27 marbles from a large bag, and 12 of them are red. What is the experimental probability that the next marble selected from the bag will be red?
Answer:
Step-by-step explanation:
4/9
By the number of red marbles taken out, we expect that 12/27=4/9 of the marbles are red. Therefore, the probability of the next marble being red is 4/9.
We drove for 2 hours, stopped half an hour for lunch, and swam at the lake for half an hour. How long did it take to get to the campsite? An:
Answer:2
Step-by-step explanation:
Juanita wants to buy a computer. She needs to earn at least 400 dollars. If she makes 9 dollarsan hour and has already saved 40 dollars, how many hours does she need to work? Write an inequality and solve.
Problem
Juanita wants to buy a computer. She needs to earn at least 400 dollars. If she makes 9 dollars an hour and has already saved 40 dollars, how many hours does she need to work?
Solution
Let x the number of hours required we can set up the following inequality:
40 + 9x > 400
And now we can solve for x we can subtract 40 and we got:
9x > 360
And then we got:
x> 40
So then Juanita needs to work at least 40 hours
And the graph of the inequality is given by:
The function P(t) = Po .e^0.16t describes the growth of a population. Give the starting population at time t = 0. The population at time t = 0 is ____
The starting population at time t = 0 can be determined by evaluating the exponential function P(t) = Po * e^(0.16t) at t = 0.
In the given exponential growth function P(t) = Po * e^(0.16t), t represents time, P(t) represents the population at time t, and Po represents the starting population at time t = 0. To find the starting population, we need to evaluate the function at t = 0. Substituting t = 0 into the equation, we get P(0) = Po * e^(0.16 * 0), which simplifies to P(0) = Po * e^0. Since any number raised to the power of 0 is equal to 1, we have P(0) = Po * 1. Therefore, the population at time t = 0 is equal to the starting population, which can be represented as P(0) = Po. By evaluating the exponential function at t = 0, we can determine the value of the starting population.
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Suppose the real risk-free rate is 2.85% and the future rate of inflation is expected to be constant at 2.10%. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is valid? Include cross-product terms, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
a. 5.01% b. 2.85% c. 4.95% d. 2.91% e. 2.16%
Answer:Corporations step up their expansion plans and thus increase their demand for capital.
Step-by-step explanation:
In the US, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 years at diagnosis of stage IV prostate cancer: 2,337 white men and 344 black men were alive after 5 years of follow-up. 1. Calculate the relative risk of being alive at 5-years after diagnosis associated between white men and black men (show formula and as much work as possible for partial credit)
The relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.
In the US, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 years at diagnosis of stage IV prostate cancer: 2,337 white men and 344 black men were alive after 5 years of follow-up.
In order to calculate the relative risk of being alive at 5-years after diagnosis associated between white men and black men, we can use the following formula:
Relative risk = [ (number of white men alive after 5 years) / (total number of white men) ] ÷ [ (number of black men alive after 5 years) / (total number of black men) ]
Therefore, substituting the values given in the formula we get;
[ (2,337) / (6,006) ] ÷ [ (344) / (1,126) ] = 0.63 ÷ 0.31 = 2.03
Therefore, the relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.
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PLEASE HELP!!!
Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0
-b+Vb2-4ac
X=
2a
Ox=2
Ox= 1
O x = 0
O x = -1
Answer:
last option, x = -1
Step-by-step explanation:
\(x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1\)
The value of x by using the Quadratic Formula is,
⇒ x = - 1
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
⇒ x² + 2x + 1
Now, We can use the Quadratic Formula for x as;
⇒ x² + 2x + 1
⇒ x = - 2 ± √2² - 4×1×1 / 2
⇒ x = - 2 ± √4 - 4 / 2
⇒ x = - 2 / 2
⇒ x = - 1
Thus, The value of x by using the Quadratic Formula is,
⇒ x = - 1
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T/F determine the pc and pt if the pi is at station (20 00), the radius of curvature is 800 feet, and the angle of curvature is 30 degrees.
As per the given curvature, the value of PC is 1785.68 and PT is 1787.55
Curvature:
In statistics, curvature means amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.
Given,
PI is at station (20 00), the radius of curvature is 800 feet, and the angle of curvature is 30 degrees.
Here we need to determine the value of PC and PT.
According to the given value, the tangent distance is calculated as,
=> T = 800 x tan (30/2)
=> T = 800 x 0.2679
=> T = 214.32
Now, the value of PC is calculated as,
PC = PI - T
=> PC = 2000 - 214.32
=> PC = 1785.68
And the value of PT is calculated as,
PT = PC + L
=> PT = 1785.68 + (100 x (30/1600))
=> PT = 1785.68 + 1.875
=> PT = 1787.55
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What is the solution to the system of equations?
Answer:
x=-4 y=-1
Step-by-step explanation:
Let's solve your system by substitution.
−3x−8y=20;y=5x+19
Rewrite equations:
y=5x+19;−3x−8y=20
Step: Solve y=5x+19for y:
y=5x+19
Step: Substitute5x+19foryin−3x−8y=20:
−3x−8y=20
−3x−8(5x+19)=20
−43x−152=20(Simplify both sides of the equation)
−43x−152+152=20+152(Add 152 to both sides)
−43x=172
−43x
−43
=
172
−43
(Divide both sides by -43)
x=−4
Step: Substitute−4forxiny=5x+19:
y=5x+19
y=(5)(−4)+19
y=−1(Simplify both sides of the equation)
Answer:
x=−4 and y=−1
Bessel polynomials are defined recursively as B(0, x) = 1, B(1, x) = x + 1, and for n > 1 : B(n, x) = (2n − 1)xB(n − 1, x) + B(n − 2, x). Use memoization to define a recursive function B which takes on input an int n and a double x. B(n, x) returns a double, the value of the n-th Bessel polynomial at x.
The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.
Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:
```
memo = {} # Memoization cache
def B(n, x):
if n == 0:
return 1
elif n == 1:
return x + 1
elif (n, x) in memo:
return memo[(n, x)]
else:
result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
memo[(n, x)] = result
return result
```
The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.
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