For each sequence given below, find a closed formula for an. the nth term of the sequence (assume the first terms are ao) by relating it to another sequence for which you already know the formula. In each case, briefly say how you got your answers. a. 4, 5, 7, 11, 19, 35, b. 0, 3, 8, 15, 24, 35,. c. 6, 12, 20, 30, 42,.. d. 0, 2, 7, 15, 26, 40, 57,.. (Cryptic Hint: these might be called*house numbers")
Answers
The closed formula for this sequence is an = 2^(n-2) + 2, where a0 = 4.
The closed formula for this sequence is an = n^2 - n, where a0 = 0.
The closed formula for this sequence is an = n(n + 1), where a0 = 6.
The closed formula for this sequence is an = n^2 - 1, where a0 = 0.
The sequence 4, 5, 7, 11, 19, 35 can be obtained by adding consecutive powers of 2. Starting from 4, each term is obtained by adding 2 raised to the power of n-2, where n is the position of the term in the sequence.
The sequence 0, 3, 8, 15, 24, 35 can be obtained by taking the square of consecutive integers. Starting from 0, each term is obtained by adding the square of n, where n is the position of the term in the sequence.
The sequence 6, 12, 20, 30, 42 can be obtained by multiplying consecutive integers by 6. Each term is obtained by multiplying n by (n + 1), where n is the position of the term in the sequence.
The sequence 0, 2, 7, 15, 26, 40, 57 can be obtained by adding consecutive odd numbers. Starting from 0, each term is obtained by adding the nth odd number, where n is the position of the term in the sequence.
Know more about sequence here:
https://brainly.com/question/30262438
#SPJ11
Related Questions
7. You are a football player running with an initial velocity of 7.2 m/s[N]. You serve to avoid a tackle, and after 2.0 s are moving at 7.2 m/s [W]. Your average acceleration of the time interval is a) 0 m/s 2
c) 1.0 m/s 2
[45 ∘
N of W] b) 5.1 m/s 2
[45 ∘
N of W] d) 3.6 m/s 2
[S] e) 5.1 m/s 2
[45 ∘
W of S] 8. A tennis ball is thrown into the air with an velocity that has the horizontal component of 5.5 m/s and a vertical component of 3.7 m/s [up]. If air resistance is negligible, the speed of the ball at the top of the trajectory is a) zero c) 5.5 m/s b) 3.7 m/s d) 6.6 m/s e) 9.2 m/s 9. Which of the following terms describes an object that moves in response to gravity along a twodimensional curved trajectory? a) trajectory c) projectile b) free-body d) falling body 10. What is the time of flight for a projectile that has an initial speed of 23 m/s and it is launched from the ground at 57 ∘
from the horizontal? a) 2.65 c) 4.2 s b) 1.9 s d) 3.9 s
Answers
The 99% confidence interval for the mean daily return on this stock is (-2.97, 1.52). The correct answer is Lower limit: - -2.973 - Upper limit: 1.515.
A certain brokerage house wants to estimate the mean daily return on a certain stock.
A random sample of 11 days yields the following return percentages.
-1.36, -2.85, 2.33, 0.46, 0.9, -1.94, -2.19, 1.14, 0.1, -2.2, -1.26.
Confidence level = 99%df
= n - 1
= 11 - 1
= 10α/2
= (1 - confidence level) / 2
= 0.01 / 2
= 0.005
From the t-distribution table with 10 degrees of freedom at α/2 = 0.005, we get t0.005 = 3.169.
Using the formula, the confidence interval is calculated as follows:
CI = X ± t0.005 * s / √n
Here, sample mean X = (-1.36-2.85+2.33+0.46+0.9-1.94-2.19+1.14+0.1-2.2-1.26) / 11
= -0.7290909091
Sample standard deviation s = sqrt([Σ(xi - X)²]/(n - 1))= 1.726805996
Approximately, 99% of the intervals constructed in this manner contain the true population parameter, mean daily return on this stock.
Lower limit: -2.973
Upper limit: 1.515
For more related questions on confidence interval:
https://brainly.com/question/32546207
#SPJ8
Select the correct formula for the polyatomic ion. you can find a list of common polyatomic ions by clicking here. the formula for the ammonium ion: nh3 nh4 am
Answers
The chemical formula for ammonium carbonate is (NH₄)₂CO₃. Therefore, option (C) is correct.
When heated, ammonium carbonate, also known as ()2, rapidly breaks down into ammonia and carbon dioxide. It functions as a smelling salt and a leavening agent. Ammonium carbonate, often known as baker's ammonia, was used before baking soda and baking powder as leaveners.
Sal volatile contains ammonium carbonate, and salt of hartshorn when baked emits a strong odour. At standard pressure and temperature, two processes lead to the gradual breakdown of ammonium carbonate. The pure ammonium carbonate sample will combine with different byproducts.
Upon spontaneous dissociation, ammonium carbonate can separate into ammonium bicarbonate and ammonia. which results in the addition of more ammonia, carbon dioxide, and water.
Learn more about ammonium carbonate:
brainly.com/question/14854502
#SPJ4
Answer:
The formula for the ammonium ion: NH4+
The formula for the nitrate ion: NO3–
A chromate ion consists of four oxygen atoms bonded to a chromium atom. It has two extra electrons. The formula of this ion: CrO42–
Heres all three. Hope i helped
Do the integral from (-2,2) of the function by Trapezoidal Rule
in Matlab.
1/((25+x^2))^3/2
Answers
Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:
```matlab
a = -2; % Lower limit
b = 2; % Upper limit
n = 1000; % Number of subintervals (increase for higher accuracy)
h = (b - a) / n; % Step size
x = a:h:b; % Generate evenly spaced x values
y = 1 ./ (25 + x.^2).^1.5; % Evaluate the function at x
approximation = h * (sum(y) - (y(1) + y(end)) / 2); % Trapezoidal Rule approximation
fprintf('Approximation: %.6f\n', approximation);
```
1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).
2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).
3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.
4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.
5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.
The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.
To know more about Trapezoidal Rule follow the link:
https://brainly.com/question/28592530
#SPJ11
The table represents a proportional relationship. Write an equation to represent the relationship.
Answers
Answer:
y=15x
Step-by-step explanation:
What is the end behavior of the polynomial
Answers
Answer:
As x --> ∞, then y --> - ∞
Step-by-step explanation:
As the value of x increases(as the graph goes right), the graph seems to go down, meaning the y-values are getting more an more negative. This means that as x approached infinity, the y values approach negative infinity ( x --> ∞, y --> - ∞ ).
As the value of x decreases(going to the left), the graph seems to go higher and higher. Therefore, as x approaches negative infinity, the y-value approach infinity. ( x --> - ∞, y --> ∞ )
Out of the options given, the one As x --> ∞, then y --> - ∞ is true.
Roediger and Karpicke (2006) investigated whether the test-enhanced learning effect (the demonstration that repeated testing improves memory for material) was due merely to repeated exposure to material. They randomly assigned participants to one of two study conditions (study-study or study-test) and to one of three retention interval conditions (final test at a delay of 5 minutes, 2 days, or 1 week). The dependent variable was the proportion of idea units recalled from an encyclopedia passage. How should the analysis of these data be labeled?
a. 2x2 within-groups ANOVA.
b. 2x2 between-groups ANOVA.
c. 2x3 within-groups ANOVA.
d. 2x3 between-groups ANOVA.
Answers
The appropriate label for the analysis of the data described in the study by Roediger and Karpicke (2006) is a "2x3 between-groups ANOVA." This designation accurately reflects the experimental design and the factors involved in the investigation.
In their study, the researchers randomly assigned participants to one of two study conditions: study-study or study-test. Additionally, participants were assigned to one of three retention interval conditions: 5 minutes, 2 days, or 1 week.
The dependent variable measured was the proportion of idea units recalled from an encyclopedia passage.
The first factor, study condition, is a between-groups variable as it was manipulated by assigning participants to one of the two study conditions. The two levels of this factor are study-study and study-test. Participants in each group underwent the designated study method.
The second factor, retention interval condition, is also a between-groups variable. Participants were assigned to one of the three retention intervals: 5 minutes, 2 days, or 1 week. This factor explores the effect of time duration on the participants' memory retention.
The notation "2x3" indicates that there are two independent variables in the study, each with multiple levels. The first variable, study condition, has two levels, while the second variable, retention interval condition, has three levels.
The interaction between these variables is of interest to understand their combined effects on memory recall.
Considering the between-groups design and the multiple levels of the two factors, the appropriate label for the analysis is a "2x3 between-groups ANOVA."
This type of analysis allows for examining the main effects of each factor, as well as their interaction effect on the proportion of idea units recalled.
By employing this statistical method, the researchers can investigate the potential differences in memory performance based on the study condition and the retention interval condition, providing valuable insights into the test-enhanced learning effect and repeated exposure to material.
To know more about 2x3 between-groups ANOVA refer here:
https://brainly.com/question/31980470#
#SPJ11
which one doesn't belong
Answers
Answer:
x - 3 = 6
Step-by-step explanation:
In all of the other equations... when you solve for x... you get x = 6.
x -3 = 6 does not end up with x = 6... rather x = 9 in that equation
Answer:
the 2nd one
Step-by-step explanation:
1. 6-2=4
2.9-3=6
3.6-5=1
4.6-6=0
all 6's except 2nd
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?
Answers
About 92 days are taken for 90 % of the material to decay.
The mass of radioisotopes (\(m\)), measured in milligrams, decreases exponentially in time (\(t\)), measured in days. The model that represents such decrease is described below:
\(m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }\) (1)
Where:
\(m_{o}\) - Initial mass, in milligrams.\(m(t)\) - Current mass, in milligrams.\(\tau\) - Time constant, in days.In addition, the time constant is defined in terms of half-life (\(t_{1/2}\)), in days:
\(\tau = \frac{t_{1/2}}{\ln 2}\) (2)
If we know that \(m_{o} = 85\,mg\), \(t_{1/2} = 27.7\,d\) and \(m(t) = 8.5\,mg\), then the time required for decaying is:
\(\tau = \frac{t_{1/2}}{\ln 2}\)
\(\tau = \frac{27.7\,d}{\ln 2}\)
\(\tau \approx 39.963\,d\)
\(t = -\tau \cdot \ln \frac{m(t)}{m_{o}}\)
\(t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}\)
\(t\approx 92.018\,d\)
About 92 days are taken for 90 % of the material to decay.
We kindly invite to check this question on half-life: https://brainly.com/question/24710827
Sean decides to start a small business creating and selling outdoor yard games. It will cost Sean $50 to make each game as well as an initial cost of $300 to purchase the needed equipment and supplies. He plans to sell each game for $85.
The system of equations below models the cost and revenue for Sean's outdoor yard games where x represents the number of games and y represents the amount, in dollars.
First, select the point on the graph that represents Sean's break-even point, which is the point where the costs to make the games will equal the revenue from selling them. Notice that the revenue equation has already been graphed.
Then, determine the least number of games Sean will need to sell in order to make a profit. Profit occurs when revenue is greater than the cost.
Answers
The system of equations for Sean's outdoor yard games is: Cost equation: C = 50x + 300. Revenue equation: R = 85x.
Again, we round up to the nearest whole number. Therefore, the least number of games Sean needs to sell for a profit is 9 games.
To find Sean's break-even point, we need to find the point where the cost equals the revenue. So we can set the two equations equal to each other and solve for x:
50x + 300 = 85x
Subtracting 50x from both sides, we get:
300 = 35x
Dividing both sides by 35, we get:
x = 8.57
To determine the least number of games Sean will need to sell in order to make a profit, we need to find the point where the revenue is greater than the cost. So we can set the revenue equation greater than the cost equation and solve for x:
85x > 50x + 300
Subtracting 50x from both sides, we get:
35x > 300
Dividing both sides by 35, we get:
x > 8.57
Again, since Sean can't sell a fraction of a game, we need to round up to the nearest whole number. Therefore, Sean needs to sell at least 9 games to make a profit.
To find Sean's break-even point and the least number of games he needs to sell for a profit, we will work with the given system of equations. The equations for cost (C) and revenue (R) are:
C(x) = 50x + 300
R(x) = 85x
To find the break-even point, we will set the cost equal to the revenue:
50x + 300 = 85x
Now, solve for x:
35x = 300
x = 300 / 35
x ≈ 8.57
Since x represents the number of games, we round up to the nearest whole number because Sean cannot sell a fraction of a game. So, Sean needs to sell at least 9 games to break even.
To find the least number of games for a profit, we need the revenue to be greater than the cost:
85x > 50x + 300
Solve for x:
35x > 300
x > 300 / 35
x > 8.57
So Sean's break-even point is when he sells approximately 8.57 games. However, since he can't sell a fraction of a game, we need to round up to the nearest whole number. Therefore, Sean needs to sell at least 9 games to break even.
Learn more about break-even point here: brainly.com/question/22871926
#SPJ11
So the first task is to:
First, select the point on the graph that represents Sean's break-even point, which is the point where the costs to make the games will equal the revenue from selling them. Notice that the revenue equation has already been graphed.
We know the initial cost of $300 for supplies, $50 per each game and it's going to be sold at $85.
The graph shows four points. The first one being at 5 games sold, with approximately $425 collected. The second one at around 8.5 games sold, which is about $725. The third one is ten games sold, with $850 collected. The last one is around 11.8 game sold, with approximately $1000 gained.
So: 50 x 5 + 300 = 550 (Cost per game + initial cost)
85 x 5 = 425 (Cost of games sold) That removes the first point.
50 x 8.5 + 300 = 725
85 x 8.5 = 722 (Close enough:)
That gave us it took Sean 8.5 games to have a revenue equal to the cost of making them.
Then, the second task is to:
Determine the least number of games Sean will need to sell in order to make a profit. Profit occurs when revenue is greater than the cost.
The choices are at 5, 8, 9, or 10 games.
Since we previously found out that it took him 8.5 games to have an equal revenue to the cost, we can easily knot that it took him 9 games to make a profit.
But just for sure:
50 x 9 + 300 = 750
85 x 9 = 765
Peace:D
ヾ(•ω•`)o
What is the measure of Angle X?
Answers
Answer:
x = 79
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BHC = x is an exterior angle of Δ BHD , then
x = 33 + 46 = 79
Which interval contains the median sandwich price?
O $9-$10
en
O $10-$11
11-$12
O $12-$13
Answers
Answer:
C $11–$12
Step-by-step explanation:
I got this right
Channing bought a new bike that retails for $299. If the store is currently
running a promotion for 15% off and the sales tax in her state is 7%, what is
Channing's total at checkout?
Answers
it should be 271.94
Answer:
299/100*85=$254.15 + 7% = 254.15/100*107= $ 271.9405
Step-by-step explanation:
1. $299/100*85=$254.15 + 7% sales Tax = $ 271.9405
Which of the following equations does not represent a linear relation?
a) y = 4x^2 - 7
b) y = 3x + 45
c) 4x - 3y = 8
d) 10x = 5y - 2
Answers
a psychology professor assigns letter grades on a test according to the following scheme. a: top 8 % of scores b: scores below the top 8 % and above the bottom 59 % c: scores below the top 41 % and above the bottom 21 % d: scores below the top 79 % and above the bottom 6 % f: bottom 6 % of scores scores on the test are normally distributed with a mean of 70 and a standard deviation of 7.3. find the numerical limits for a d grade. round your answers to the
Answers
The numerical limits for a D grade: 59 to 64
In this question we have been given that the scores on the test are normally distributed with a mean of 70 and a standard deviation of 7.3
μ = 70, σ = 7.3
We need to find the numerical limits for a D grade
D: Scores below the top 79% and above the bottom 6%
So between the 6th and the 21st percentile.
6th percentile:
X when Z has a pvalue of 0.06. So X when Z = -1.555
Z = X - μ/σ
-1.555 = (X - 70)/7.3
X - 70 = -11.35
X = 58.65
X ≈ 59
21st percentile:
X when Z has a pvalue of 0.21. So X when Z = -0.81
Z = X - μ/σ
-0.81 = (X - 70)/7.3
X - 70 = -5.91
X = 64.09
X ≈ 64
Therefore, you get a D if you have a grade between 59 and 64
Learn more about the normal distribution here:
https://brainly.com/question/29509087
#SPJ4
2. You put together a four-week media buy with a 62 reach and 3.2 frequency. What are the GRP's for this buy? (Please show your work). b. A similar buy delivers 230 GRPs but only a 50% reach? If you reach fewer people, what do you gain? By how much? c. Which buy is better?
Answers
a. The GRP (Gross Rating Points) for the four-week media buy with a 62 reach and 3.2 frequency can be calculated by multiplying the reach by the frequency. Therefore, the GRP for this buy is 62 * 3.2 = 198.4 GRPs.
b. In the case of the similar buy with 230 GRPs and a 50% reach, we can calculate the frequency by dividing the GRPs by the reach. So the frequency is 230 / 50 = 4.6.
When you reach fewer people, you gain a higher frequency. The difference in frequency between the two buys can be calculated by subtracting the initial frequency (3.2) from the frequency in the second buy (4.6). Therefore, the gain in frequency is 4.6 - 3.2 = 1.4.
c. To determine which buy is better, we need to consider the marketing objectives and strategies. If the objective is to maximize reach and exposure to a wider audience, the first buy with a higher reach of 62 would be better. However, if the objective is to focus on repetition and frequency of message delivery to a more targeted audience, the second buy with a higher frequency of 4.6 might be more suitable. The choice depends on the specific goals and priorities of the advertising campaign.
Learn more about Gross Rating Points here: brainly.com/question/32344455
#SPJ11
To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water. How many cups of lemon juice are needed to mix with 28 cups of water? Write a proportion and solve.
Answers
just do 28 times 2 and you wil have the answer
suppose each license plate in a certain state has three letters followed by three digits. the letters and and the digits , , and are not used. so, there are letters and digits that are used. assume that the letters and digits can be repeated. how many license plates can be generated using this format?
Answers
With the possibility of repeating letters and digits, the total number of license plates that can be generated in this format is 8,000,000.
In a state where license plates consist of three letters followed by three digits, with the exclusion of three specific letters and three specific digits, there are a total of 20 letters and 7 digits available for use.
The number of possibilities for each position on the license plate can be calculated by multiplying the number of options for each position. For the letters, since three letters are chosen from a set of 20 (excluding the three specified letters), with repetition allowed, the number of possibilities is 20^3 = 8,000. Similarly, for the digits, since three digits are chosen from a set of 7 (excluding the three specified digits), with repetition allowed, the number of possibilities is 7^3 = 343. To find the total number of license plates, we multiply these two results together: 8,000 * 343 = 2,744,000. Therefore, there are a total of 2,744,000 possible license plates.
Learn more about digits here:
https://brainly.com/question/18793452
#SPJ11
Can someone please help me with this? PLEASE help me!
Answers
Answer:
262
Step-by-step explanation:
Answer:
CGF=262
Step-by-step explanation:
it’s A
Round off 9852 to 1 significant figure
Answers
Answer:
10000
Step-by-step explanation:
9852
Means we are rounding to the thousands place
We look at the hundreds place
8 is greater than or equal to 5 so we round the thousands place up
9 becomes 10
9852 becomes 10,000
Answer:
Step-by-step explanation:
10000
can you help me find the answer to -1/3+-7/4
Answers
Answer:
2.08333333333
Step-by-step explanation:
fromm google
can I have brainliest
Answer:
-25/12
Step-by-step explanation:
It is basically adding 1/3 to 7/4 then placing a negative in front.
Question 15 of 44
Which of the following arcs are congruent in the circle below
Answers
Reason: Both arcs equal 80° and are vertical angles.
IMAGE BELOW I WILL MARK BRAINIEST
Answers
Answer:
-3, 2
Step-by-step explanation:
Please give me brainlist
Chang is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $104 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0. 60 for every mile driven. For what mileages will Company A charge less than Company B? Use for the number of miles driven, and solve your inequality for
Answers
For mileages more than 173 miles, Company A charges less than Company B.
This can be represented as an inequality: $104 < 0.6m + 65$, where $m$ is the number of miles driven. Solving this inequality for $m$, we get $m > 173$ miles drivenThe question is asking about the mileages where Company A charges less than Company B. Company A charges a flat fee of $104 with unlimited mileage, while Company B charges an initial fee of $65 and an additional $0.60 for every mile driven. To determine the mileage where Company A charges less than Company B, we need to set up an inequality to compare the prices of the two companies. The inequality can be represented as $104 < 0.6m + 65$, where $m$ is the number of miles driven. Solving for $m$, we get $m > 173$ miles driven. Therefore, for mileages more than 173 miles, Company A charges less than Company B.
Know more about inequality here:
https://brainly.com/question/20383699
#SPJ11
Select all of the exact ODEs listed below. (3x 2
y 4
+3)dx+4x 3
y 3
dy=0
(3x 2
y 4
−4x 3
sin(x 4
)y)dx+(4x 3
y 3
+cos(x 4
))dy=0
(3x 2
y 4
−4x 3
cos(x 4
)y)dx+(4x 3
y 3
+sin(x 4
))dy=0
(3x 4
y 2
+3)dx+4x 3
y 3
dy=0
Answers
The exact ODEs among the options are:
\((3x^2y^4 - 4x^3sin(x^4)y)dx + (4x^3y^3 + cos(x^4))dy = 0\)
\((3x^2y^4 - 4x^3cos(x^4)y)dx + (4x^3y^3 + sin(x^4))dy = 0\)
How to find the exact ODEs among the optionsTo determine which of the given differential equations (ODEs) are exact, we need to check if they satisfy the condition for exactness. An ODE is exact if the partial derivatives of its coefficients with respect to the variables x and y satisfy a specific relationship.
Let's analyze each option:
1) (\(3x^2y^4 + 3)dx + 4x^3y^3dy = 0\)
This ODE is not exact because the partial derivative of (\(3x^2y^4 + 3\)) with respect to y (which is \(12x^2y^3\)) does not equal the partial derivative of (\(4x^3y^3\)) with respect to x (which is \(12x^2y^3\)).
2) \((3x^2y^4 - 4x^3sin(x^4)y)dx + (4x^3y^3 + cos(x^4))dy = 0\)
This ODE is exact because the partial derivative o\(f (3x^2y^4 - 4x^3sin(x^4)y)\)with respect to y (which is \(12x^2y^3 - 4x^3sin(x^4))\) is equal to the partial derivative of \((4x^3y^3 + cos(x^4))\)with respect to x (which is \(12x^2y^3 - 4x^3sin(x^4\))). Therefore, this ODE is exact.
3)\((3x^2y^4 - 4x^3cos(x^4)y)dx + (4x^3y^3 + sin(x^4))dy = 0\)
This ODE is not exact because the partial derivative of (\(3x^2y^4 - 4x^3cos(x^4\))y) with respect to y (which is\(12x^2y^3 - 4x^3cos(x^4)\)) does not equal the partial derivative of \((4x^3y^3 + sin(x^4)\)) with respect to x (which is \(12x^2y^3 - 4x^3cos(x^4)\)).
4) (\(3x^4y^2 + 3)dx + 4x^3y^3dy = 0\)
This ODE is not exact because the partial derivative of (\(3x^4y^2 + 3\)) with respect to y (which is\(6x^4y\)) does not equal the partial derivative of (\(4x^3y^3\)) with respect to x (which is \(12x^2y^3\)).
Therefore, only the second ODE, \((3x^2y^4 - 4x^3sin(x^4)y)dx + (4x^3y^3 + cos(x^4)\))dy = 0, is exact.
Learn more about differential equations at https://brainly.com/question/1164377
#SPJ4
The total cost in dollars, c, to purchase video games online can be found using e function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?
Answers
Answer:
72.55 ≤ x≤ 123.40
Step-by-step explanation:
c = 16.95x + 4.75,
We have to purchase a minimum of 4 games
Let x = 4
c (4) = 16.95(4) + 4.75
c(4) =67.8+4.75 = 72.55
This is the smallest amount we will spend
The most we will purchase is 7 games
Let x = 7
c (7) = 16.95(7) + 4.75
c(7) =118.65+4.75 = 123.40
This is the largest amount we will spend
The range is
72.55 ≤ x≤ 123.40
Question content area top
Part 1
Write an equivalent expression without parentheses. Then simplify the result.
m−(8−3m)
Answers
using exponents, On simplifying the equation, we get =4m+8.
The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.
What is the main objective of simplification?Work simplification is to develop better work processes that boost output while cutting waste and costs.
What does simplifying mean in algebra?Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.
Given equation,
m-(8-3m)
=m-8+3m
=4m+8
To know more about exponents visit:-
brainly.com/question/11709654
#SPJ1
a rectangle's width is 6 feet less than its length. write a quadrtaic formula
Answers
The function is f(x)=2 over the interval [−1,1]. Compute the lower Riemann sum with respect to the partition P=[−1,−14,14,34,1].
The formula for calculating the lower Riemann sum is given by:L(f,P)=∑i=1n−1miΔxiWhere mi is the infimum of f on [xi,xi+1], and Δxi is the length of the subinterval [xi,xi+1].To compute the lower Riemann sum with respect to the partition P=[−1,−14,14,34,1], we have to calculate the infimum of the function over each subinterval, and multiply it by the length of the subinterval.Subinterval [-1, -1/4]The infimum of f(x)=2 on [-1, -1/4] is f(-1) = 2.
Therefore, m1 = 2.The length of the subinterval [-1, -1/4] is Δx1 = (-1/4) - (-1) = 1/4.Subinterval [-1/4, 1/4]The infimum of f(x)=2 on [-1/4, 1/4] is f(-1/4) = 2. Therefore, m2 = 2.The length of the subinterval [-1/4, 1/4] is Δx2 = 1/2.Subinterval [1/4, 3/4]The infimum of f(x)=2 on [1/4, 3/4] is f(1/4) = 2. Therefore, m3 = 2.The length of the subinterval [1/4, 3/4] is Δx3 = 1/2.Subinterval [3/4, 1]The infimum of f(x)=2 on [3/4, 1] is f(3/4) = 2. Therefore, m4 = 2.The length of the subinterval [3/4, 1] is Δx4 = 1/4.Therefore, the lower Riemann sum is:L(f,P) = m1Δx1 + m2Δx2 + m3Δx3 + m4Δx4= 2(1/4) + 2(1/2) + 2(1/2) + 2(1/4)= 1/2 + 1 + 1 + 1/2= 3.
To know more about normal distribution visit:
https://brainly.com/question/29509087
#SPJ11
Four less than a number
Answers
Step-by-step explanation:
For writing the expression, represent 'a number' as x, as it's unknown.
The word format explains;
Four less than x.
Subtracting 4 from x will represent four less than x.
Expression is represented as;
\(x - 4\)
Which one of the following best defines the notion of the P-value of a hypothesis test? a. The probability of rejecting H_o, whether it's true or not b. The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true c. The probability of the type I error d. The probability of the type II error
Answers
P-value of a hypothesis test is an important measure of the strength of evidence against the null hypothesis and helps us make informed decisions about rejecting or failing to reject the null hypothesis.
A hypothesis test is a statistical method used to test the validity of an assumption or a hypothesis about a population based on a sample data.
The correct answer is b. The P-value of a hypothesis test is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true.
In hypothesis testing, we start with a null hypothesis, which is usually denoted as H_0, that represents the status quo or the default assumption. The alternative hypothesis, denoted as H_a, represents the opposite of the null hypothesis.
The P-value is the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. A low P-value indicates that the sample data provides strong evidence against the null hypothesis, and we reject the null hypothesis.
A high P-value indicates that the sample data does not provide strong evidence against the null hypothesis, and we fail to reject the null hypothesis.
In mathematical terms, the P-value is calculated as the probability of observing a test statistic Z that is more extreme than the one actually obtained, assuming the null hypothesis is true.
To know more about hypothesis here.
https://brainly.com/question/29576929
#SPJ4
Which value of x makes the expression above equivalent to 14 Square root 7?
Pls helppppppppppppppp
Answers
Answer:
B. 4
Step-by-step explanation:
First, let's evaluate the first expression:\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)
We can just remove the √ from both sides to make it easier to see, so49 × 7x = 343x
Now, let's evaluate the second expression:14√7 = √(1372)
To see what value would make the first expression equal to the second expression, we can divide the the second expression by first expression:1372 ÷ 343 = 4 this is the vaule of x.