9514 1404 393
Answer:
14/9-3.65/411/2, 7/8, 5/18Step-by-step explanation:
1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9
__
2. x = (9.82 -28.18)/5.1 = -3.6
__
3. y = 3/2 -1/4 = 5/4
__
4a. t = 2(3 -1/4) = 11/2
4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8
4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18
Add and subtract the values. Express your answer in scientific notation.(6.15 times 10 Superscript 8 Baseline) minus (2.5 times 10 Superscript 7 Baseline) + (3.4 times 10 Superscript 9 Baseline)6.24 times 10 Superscript 87.05 times 10 Superscript 83.99 times 10 Superscript 94.04 times 10 Superscript 9
Solution
\(\left(6.15\cdot \:10^8\right)-\left(2.5\cdot \:10^7\right)+\left(3.4\cdot \:10^9\right)\)Now
\(=615000000-25000000+3400000000\)Add and subtract
\(=3990000000\)\(3.9\times10^9\)Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded annually.
P = $15,500
r = 9.5%
t = 12
Hint: A = P (1 + ) kt
A = $[?]
Round your answer to the nearest cent (hundredth).
The amount accumulated after investing a principal P for t years at an interest rate compounded annually is $46,057.58.
How to solve compound interest ?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.
\(A = p(1 + \frac{r}{n} )^{nt}\)
where
P = principalr = ratet = timen = number of timep = 15,500
r = 9.5%
t = 12
n = 1
\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)
A = 15,500.00(1 + 0.095)¹²
A = $46,057.58
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$46,057.58, answer for acellus
Jeremy is making a healthy ice cream using only rip
bananas and peanut butter. The recipe makes 4
servings and calls for a ratio of 5 bananas to 3
tablespoons of peanut butter. If Jeremy has 30
bananas, how many fablespoons of peanut butter
does he need?
Answer:
18 tablespoons
Step By Step:
ratio is bananas/tablespoons 5 bananas/3 tablespoons30 bananas/x tablespoonshow do we get from 5 to 30? multiply by 6. whatever we do to the top we do to the bottom, so multiply tablespoons but six as well30 bananas/18 tablespoonsWhat is the equation of the line that contains the slopem = 2and passes through the point(1, 3)?
Express your answer in slope-intercept form
Enter your answer in the box.
hi
Answer:
y = 2x + 1
Step-by-step explanation:
If we consider the gradient m = 2 and point (1, 3) through which the line passes, we can use the equation y - y1 = m (x - x1) to express the equation of the line in the form y = mx + c.
y - 3 = 2 * (x - 1)
y - 3 = 2x - 2
y - 2x = -2 + 3
y - 2x = 1
y = 2x + 1
g exercise 1. design the sample space ?, the state space s and explain why each xk is a random variable. why is x d fxkgk2n a stochastic process?
The sample space is the set of all possible outcomes of a random experiment. The state space is the set of all possible values that a random variable can take on.
Each xk is a random variable because it is a function that assigns a numerical value to each element in the sample space. In other words, for each outcome in the sample space, there is a corresponding value of xk.
A stochastic process is a collection of random variables defined on a common sample space. In this case, x d fxkgk2n is a stochastic process because it is a collection of random variables (x1, x2, ..., xn) defined on a common sample space.
A stochastic process can also be defined as a family of random variables {X(t)}, indexed by a set of indices, usually taken as time t. The set of all possible values of the indices is called the parameter space.
For example, in the case of X d fxkgk2n, the parameter space is the set of integers {1, 2, ..., n}.
A stochastic process describes how a system evolves over time. It can be used to model various phenomena, such as stock prices, weather patterns, and population dynamics. The properties of a stochastic process, such as stationarity and independence, can provide insight into the underlying dynamics of the system it models.
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vă rog am nevoie de ajutor la ex 6 dacă il faceți dau corana ex este de clasa a 6
Answer:
sry but i can't help you with it bcz i don't understand spanish can u write it in clear english
Sry
Which of the following is the Maclaurin series representation of the function f(x) = - (1+x) ³ n(n+1)
A. Σ x", -1
B. Σ B 00 (n+1)(n+2) 2 x"+1, −l
C. Σ (-1)-¹n(n+1) x″+¹, −1
D. Σ (-1)*-'(n+1)(n+2)x", −1
E. Σ Z (-n-"(n+1) x", -1
Σ (-1)ⁿ⁺¹ n(n+1) x²ⁿ⁺¹, -1 of the following is the Maclaurin series representation of the function f(x) = - (1+x) ³ n(n+1).
Maclaurin series representation of the function f(x) = - (1+x)³ n(n+1) is Σ (-1)ⁿ⁺¹ n(n+1) x²ⁿ⁺¹, -1.
A Maclaurin series is a Taylor series centered at 0, and it is a power series representation of a function whose derivatives are known at x = 0. To find the Maclaurin series of a function. Therefore, the correct answer is option E.
We compute its successive derivatives at x = 0 and put them in the Taylor series formula centered at 0.
Maclaurin series are used to approximate functions at x = 0 or near x = 0 by truncating the series and retaining just the first few terms, giving us an approximation to the function.
f(x) = - (1+x)³ n(n+1)
To find the Maclaurin series of the given function, we will follow these steps:
Find the derivative of the given function by using the power rule until a pattern emerges.
Evaluate the derivatives at x = 0.
Write down the general form of the Maclaurin series by replacing each derivative with the corresponding formula.
Evaluate the first few terms of the series to approximate the function at x = 0.f(x) = - (1+x)³ n(n+1)
First, we will find the derivative of the given function.
f'(x) = -3(1+x)² n(n+1)f''(x) = -6(1+x) n(n+1) + 6n(n+1)f'''(x) = 6n(n+1)(1+x)² - 18n(n+1)(1+x) ...f⁽ⁿ⁾(x) = (-1)ⁿ 6n(n+1) x²ⁿ⁻²(1+x)⁶
Now, we will evaluate the derivatives at x = 0.f(0) = 0f'(0) = -3n(n+1)f''(0) = 6n(n+1)f'''(0) = 0f⁽ⁿ⁾(0) = 0 for n > 2
Now we will write down the general form of the Maclaurin series by replacing each derivative with the corresponding formula
.f(x) = f(0) + f'(0)x + f''(0) x²/2! + f'''(0)x³/3! + f⁽ⁿ⁾(0) xⁿ/ⁿ!+ ...= -3n(n+1) x + 3n(n+1) x²/2! - 6n(n+1) x³/3! + 6n(n+1) x⁴/4! - ...
This can be simplified to the following:
Σ (-1)ⁿ⁺¹ n(n+1) x²ⁿ⁺¹, -1
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A restaurant uses rectangular napkins where the length, l, is twice as long as the width. the length of the napkin along the diagonal is x. what is x in terms of l? replace a and b with the correct values.
The value of x in terms of l is.
\(x=\sqrt{5l^{2} }\)
What is Pythagoras Theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.
given data:length = \(l\)
width= \(2l\)
diagonal = \(x\)
We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.
\(x^{2} =a^{2} +b^{2}\)
using this formula substituting the value:
\(x^{2} =l^{2} +2l^{2}\)
\(x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\\)
from the above calculation we have:
\(x=\sqrt{5l^{2} }\)
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Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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a city department of transportation studied traffic congestion on a certain highway. to encourage carpooling, the department will recommend a carpool lane if the average number of people in passenger cars on the highway is less than 2 . the probability distribution of the number of people in passenger cars on the highway is shown in the table. number of people 1 2 3 4 5 probability 0.56 0.28 0.08 0.06 0.02 based on the probability distribution, what is the mean number of people in passenger cars on the highway?
The mean number of people in passenger cars on the highway is 1.7 (approximately 2).
The mean of a probability distribution function is also known as Expectation of the probability distribution function.
The mean number of people in passenger cars (or expectation of number of people in passenger cars ) on the highway can be denoted as E(x) where x is the number of people in passenger cars on the highway.
Thus E(x) can be calculated as,
E(x) = ∑ \(x_{i} p_{i}\) ∀ i= 1,2,3,4,5
where, \(p_{i}\) is the probability of number of people in passenger cars on the highway
⇒ E(x) = (1)(0.56) + (2)(0.28) + (3)(0.08) + (4)(0.06) + (5)(0.02)
⇒ E(x) = 1.7
Hence the mean number of people in passenger cars on the highway is 1.7, which is less than 2.
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Decide whether each statement is sometimes true, always true, or never true. If the statement is sometimes true give one example of when it is true and an example of when it is not. See Instructions."The linear regression line passes through the average of the x-values and the average of the y-values."Your answer:See Instructions. "A positive correlation coefficient means that the points in the scatterplot are very close together."Your answer:See Instructions."A correlation coefficient close to 1 means that a linear model is most appropriate for the data."Your answer:
In general, the linear regression formula is shown below
\(undefined\)Can someone simplfy to me why we use different formula in some equations for sin cos tan? Like in some instances we swap variables and in others we just divide and stuff and I don't understand why we do that
Factorise the following:
(4x−15)2−(x+12)2
Answer:
2x+9
Step-by-step explanation:
(4x-15)-(2x-24)
4x - 2x - 15 - -24
4x - 2x - 15 + 24
2x - 15 + 24
2x + 9
2x+9
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)
Answer:
12
Step-by-step explanation:
2 + 3 + 7 pathways = 12 :)
Answer:
11
Step-by-step explanation:
a
Simplify the expression:1n (e^5/12)Round your answer to two decimal points.
Given:
\(\ln (\frac{e^5}{12})\)\(\ln (\frac{a}{b})=\ln (a)-\ln (b)\)Then:
\(\ln (\frac{e^5}{12})=\ln e^5-\ln 12\)\(\ln a^b=b\ln a\)\(\begin{gathered} \ln (\frac{e^5}{12})=\ln e^5-\ln 12 \\ =5\ln e-\ln 12 \\ =5(1)-2.4849 \\ =5-2.4849 \\ =2.515 \\ =2.52 \end{gathered}\)given f(x)=x^3+11x^2+8x-20, find the zeros of f(x) algebraically
The zeros of f(x) are 1, -10, and -2.
To find the zeros of the function\(f(x) = x^3 + 11x^2 + 8x - 20\) algebraically, we need to solve the equation f(x) = 0.
There are several methods to find the zeros, and one commonly used approach is the factor theorem and polynomial long division.
Begin by trying possible integer values as potential zeros.
In this case, we can use the rational root theorem to narrow down the options.
The possible rational roots are factors of the constant term (-20) divided by factors of the leading coefficient (1).
Possible rational roots: ±1, ±2, ±4, ±5, ±10, ±20
Test each potential zero using synthetic division or polynomial long division until a zero is found.
Trying x = 1:
Applying synthetic division:
1 | 1 11 8 -20
| 1 12 20
Copy code
1 12 20 0
Since the remainder is zero, x = 1 is a zero of the function.
After finding one zero, we can factor the polynomial by dividing it by (x - 1) using polynomial long division or synthetic division.
The result is a quadratic equation:
\((x - 1)(x^2 + 12x + 20) = 0\)
Solve the quadratic equation \(x^2 + 12x + 20 = 0\) using factoring, completing the square, or the quadratic formula.
Factoring: (x + 10)(x + 2) = 0
Setting each factor to zero:
x + 10 = 0 or x + 2 = 0
x = -10 or x = -2
The zeros of the function \(f(x) = x^3 + 11x^2 + 8x - 20\) are x = 1, x = -10, and x = -2.
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pls help me
percentages arent my piece of cake
Answer:
A) it costs $4.8
B) 45%
C) 35% discount
Step-by-step explanation:
The equation:
12 x 0.6 = 7.2
7.2 represents the profit. To find the cost:
12 - 7.2 = 4.8
The answer is 4.8
17.40 - 12 = 5.4
Now
divide the difference of the prices by the original price:
5.4/12 = 0.45
Turn into percent
45%
Now:
17.40 - 11.31 = 6.09
Same before:
Difference of prices divided by original price
17.40/6.09 = 0.35
35%
Find The First Partial Derivatives Of F(X,Y)=8x^5y^6+6x^4y^2+10 ∂F/ ∂X=,,∂F/∂Y=
The first partial derivative of F(x, y) = 8x^5y^6 + 6x^4y^2 + 10 with respect to x is ∂F/∂x = 40x^4y^6 + 24x^3y^2, and the first partial derivative of F(x, y) with respect to y is ∂F/∂y = 48x^5y^5 + 12x^4y.
To find the first partial derivatives of F(x, y), we differentiate the function with respect to each variable while treating the other variable as a constant.
To find ∂F/∂x, we differentiate each term of the function with respect to x. The derivative of x^n with respect to x is nx^(n-1). Applying this rule, we get ∂F/∂x = 8 * 5x^4y^6 + 6 * 4x^3y^2 + 0 = 40x^4y^6 + 24x^3y^2.
Similarly, to find ∂F/∂y, we differentiate each term of the function with respect to y. The derivative of y^n with respect to y is ny^(n-1). Applying this rule, we get ∂F/∂y = 8x^5 * 6y^5 + 6x^4 * 2y + 0 = 48x^5y^5 + 12x^4y.
Therefore, ∂F/∂x = 40x^4y^6 + 24x^3y^2 and ∂F/∂y = 48x^5y^5 + 12x^4y.
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Find the largest domain of f (x)=x²+1
Please help me with this simple question-
Answer:
50 divided by 3/4 =
Step-by-step explanation:
he spent 37 dollars and 5 cents
Aaron claims the same answer could also be found by adding either –5 3 or –3 5. what is the error in aaron’s reasoning? the commutative property is not true for addition. the negative signs were switched. the numbers are not in the correct order. the associative property was used.
Answer:
The negative signs are switched.
-5 + 3 = -2, whereas -3 + 5 = 2.
A self-serve car wash charges $5.12 to use its facilities, plus an additional $0.73 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 6 minutes, how much was she charged?
Tiffany should spend $9.5 for something like the windshield wash's six minutes of services.
Who is a customer vs a consumer?A customer is always the one who uses a something or service in the end, even if they didn't buy it. When a client makes a purchase and uses the good or service personally, they are considered a consumer. A consumer always makes a purchase, even if they may not be final users.
Tiffany spent an additional $0.66 per minute at the vehicle wash, so the total fee for her time would come to
= $0.73 * 6
= $4.38
This brings the total fee up to $5.12 when added to the first charge.
= $5.12 + $4.38
= $9.5
Tiffany was thus charged $9.5
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analysis is a form of horizontal analysis that can reveal patterns in data across periods. it is computed by taking the (analysis period amount/base period amount) x 100.
Analysis, a form of horizontal analysis, is a method used to identify patterns in data across different periods. It involves calculating the ratio of the analysis period amount to the base period amount, multiplied by 100. This calculation helps to assess the changes and trends in the data over time.
Analysis, as a form of horizontal analysis, provides insights into the changes and trends in data over multiple periods. It involves comparing the amounts or values of a specific variable or item in different periods. The purpose is to identify patterns, variations, and trends in the data.
To calculate the analysis, we take the amount or value of the variable in the analysis period and divide it by the amount or value of the same variable in the base period. This ratio is then multiplied by 100 to express the result as a percentage. The resulting percentage indicates the change or growth in the variable between the analysis period and the base period.
By performing this analysis for various items or variables, we can identify significant changes or trends that have occurred over time. This information is useful for evaluating the performance, financial health, and progress of a business or organization. It allows stakeholders to assess the direction and magnitude of changes and make informed decisions based on the patterns revealed by the analysis.
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Help PLSSSSS THANKS 111
Answer:
-9n+8
Step-by-step explanation:
A house has increased in value by 34% since it was purchased. If the current value is 335,000, what was the value when it was purchased
Answer:
250000
Step-by-step explanation:
1. 335000/135
2. 2500*100
3. 250000
PLEASE PLEASE HELP
ME!!!
12. (10 points) find the multiplicative inverse of 11 mod 26.
The multiplicative inverse of a number \(x\) is \(\dfrac{1}{x}\).
\(x=11\mod 26=11\)
Therefore
\(\dfrac{1}{x}=\dfrac{1}{11}\)
Identify the antecedent and the consequent for each of the following conditional sentences. Assume that a, b, and f represent some fixed sequence, integer, or function, respectively.
(a) If squares have three sides, then triangles have four sides.
(b) If the moon is made of cheese, then 8 is an irrational number.
(c) b divides 3 only if b divides 9.
(d) The differentiability of f is sufficient for f to be continuous.
(e) A sequence a is bounded whenever a is convergent.
(f) A function f is bounded if f is integrable.
(g) 1 + 2 = 3 is necessary for 1 + 1 = 2.
(h) The fish bite only when the moon is full.
(i) A time of 3 minutes, 48 seconds or less is necessary to qualify for the Olympic team.
(a) Antecedent: Squares have three sides
Consequent: Triangles have four sides
(b) Antecedent: The moon is made of cheese
Consequent: 8 is an irrational number
(c) Antecedent: b divides 3
Consequent: b divides 9
(d) Antecedent: The differentiability of f
Consequent: f is continuous
(e) Antecedent: A sequence a is convergent
Consequent: a is bounded
(f) Antecedent: A function f is integrable
Consequent: f is bounded
(g) Antecedent: 1 + 2 = 3
Consequent: 1 + 1 = 2
(h) Antecedent: The moon is full
Consequent: The fish bite
(i) Antecedent: Time of 3 minutes, 48 seconds or less
Consequent: Qualification for the Olympic team
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The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 64 individuals from the US, what is the probability that the sample mean exceeds the W.H.O. minimum?
Answer:
W.H.O
Step-by-step explanation:
ask my shoe and your mama