Answer:
Let x=the smaller integer.
Let x+1+ the larger integer.
x+(x+1)=173
(x+x)+1=173
2x+1=173
2x+1-1=173-1 (substract 1 from both sides)
2x=172 (divide 2 to both sides)
2x/2=172/2
x=86
x+1=87
Step-by-step explanation:
The law of large numbers states that as the number of observations drawn at random from a population with finite mean μ increases, the mean of the observed values.
The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.
Define the term population mean?The average calculated from the group members, distribution, or population is known as the population mean.
It is calculated by dividing the sum of all different variables through the total population of variables. The population mean is shown here as. The population's observations are added together to form X. There are 2 distinct averages in statistics: Only a few observations—selected from the population data—are taken into account for calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.
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PLEASE HELP
Classify the equation 6x + 4x-1= 2(5x + 4) as having one solution, infinitely many solutions, or no solution by
solving the problem. Solve the equation for x then classify the solution.
Answer: NO SOLUTION
Step-by-step explanation:
6x + 4x - 1 = 2(5x + 4)
10x - 1 = 2(5x+4)
10x - 1 = 10x + 8
-1 = 8
NO SOLUTION
Write a recursive formula for the sequence below. Use the variable "n" for your formula in your answer.
{2, -8, 32, -128, 512, ... }
Answer:
\(\begin{cases}a_1 = 2\\\\a_{n} = -4*a_{n-1}\end{cases}\)
============================================
Explanation:
The first line of the answer says "the first term is 2".
The second line says "take any term and multiply by -4 to get the next term".
The \(a_n\) represents the nth term while \(a_{n-1}\) is the term just before it.
The second line shown above is the same as writing \(a_{n+1} = -4*a_n\)
---------------
The -4 is found by dividing any term over its previous one
-8/2 = -4
32/(-8) = -4
-128/32 = -4
512/(-128) = -4
This shows the common ratio is -4 and this sequence is geometric.
A shop sells packets of envelopes.
There are 5 envelopes in a small packet.
There are 20 envelopes in a large packet.
There is a total of T envelopes in x small packets and y large packets.
Write down a formula for T in terms of x and y.
9514 1404 393
Answer:
5x +20y = T
Step-by-step explanation:
There are 5 envelopes in each of x small packets, for a total of 5x envelopes in small packets.
There are 20 envelopes in each of y large packets, for a total of 20y envelopes in large packets.
The total number envelopes is then ...
T = 5x +20y
if a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
a) 9x/2
b) 2x miles
c) 3x/2 miles
d) x/2 miles
(5x^2+2x-7)-(3x^2+6x-9)
Answer:
2x^2-4x+2
Step-by-step explanation:
depends what the question is telling you to do
if its askin you to simplify this is the answer
Calculate net force, and indicate if forces are balanced or unbalanced.
Question 5 options:
0 N, balanced
0 N, unbalanced
20 N, balanced
20 N, unbalanced
Answer:
0N, balanced
Step-by-step explanation:
There are equal forces on each side.
Hope this helps.
Please mark me Brainliest.
El siguiente rectángulo tiene un área de 35x³ metros cuadrados y un ancho de 5x metros. ¿Cuál es la longitud del rectángulo? 5x Longitud = Largo 35x³ metros
please help, i’ll give brainly
Answer:
hope it helps
Step-by-step explanation:
1: 4
2:2
3:1
4:3
GIVE ME BRAINIEST!!!!!
thanks!
a new car is offered with eleven different optional packages. the dealer claims that there are more than 2,000 different combinations available. is this claim justified? explain. there are incorrect: your answer is incorrect. different ways to choose which of the packages you get, so the claim is changed: your submitted answer was incorrect. your current answer has not been submitted. justified.
The dealer's claim that there are "more than 1,000 different combinations" of the 10 optional packages available for the new car is justified, as there are actually 1024 possible combinations.
To determine whether the dealer's claim is justified, we need to calculate the total number of possible combinations of packages that can be selected.
Since there are 10 optional packages, there are 2^10 (or 1024) possible combinations of packages. This is because for each package, there are two possible choices: either it is selected or it is not selected.
Therefore, the dealer's claim that there are "more than 1,000 different combinations" is indeed justified. The actual number of possible combinations is 1024, which is greater than 1,000.
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I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets can I make
Answer:
answer is 15
please that is what I'm thinking
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters? ASAP thanks.
The Surface area of the pyramid is 68 square cm
The total surface area of the pyramidThe total surface area is the area of all the triangles
Area of a triangle = 0.5bh
b is the base
h is the height
Given te followin
b = 6cm
h = 5.2cm
Surface area of the pyramid = 5(0.5 * 6 * 5.2)
Surface area of the pyramid = 78 square cm
Hence the Surface area of the pyramid is 68 square cm
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the linear trend model is used for a time series that is expected to grow by a fixed amount each time period. what are the steps in applying the linear trend model? please choose the steps in the correct order.
The linear trend model is a commonly used technique in time series analysis, particularly when the data is expected to exhibit a consistent rate of growth or change over time.
First, Collect and organize your data, Before you can apply the linear trend model, you need to have a clear understanding of the data you're working with.
Then Plot your data on a graph, Once you have your data organized, the next step is to plot it on a graph. This will help you visualize any trends or patterns that may be present in the data.
Next, Calculate the slope of the line, To determine the rate of change in your data, you'll need to calculate the slope of the line. This is done using a formula called the least squares regression line.
And then determine the intercept of the line, by using the intercept of the line represents the starting point for the data. In other words, it's the value of the data at the beginning of the time series.
Finally, use the linear trend model to make predictions, Once you've calculated the slope and intercept of the line, you can use the linear trend model to make predictions about future values of the data.
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Solve using substitution
Tamika makes $ 378.00 on the sale of a home theater system that costs $9.000.00. Express her rate of commission as a percent rounded to the nearest whole number
Answer:
4%
Step-by-step explanation:
commission rate = (amount earned on sales / total cost of items sold) x 100
\(\frac{378}{9000}\) × 100 = 4.2%
To convert to the nearest whole number, look at the first number after the decimal,
if it is equal to or greater than 5, add 1 to the number before the decimalif it is less than five, add 0 to the number before the decimaltwo is less than 5, thus we would add zero to 4.
4.2% becomes 4%
If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)?
A. -1
B. 2
C. -3
D. -4
Answer:
A) x = -1
Step-by-step explanation:
\(f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)\)
\(f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)\)
\(f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)\)
\(f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)\)
Solve the given differential equation. 3x^2y'' + 6xy' + y = 0
The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)
This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.
The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.
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determine whether rolle's theorem can be applied to f on the closed interval [a, b]. (select all that apply.) f(x) = x2/3 − 1, [−8, 8]Yes, Rolle's Theorem can be applied.No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No, because f(a) ≠ f(b).If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0.(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)c =
The Rolle's Theorem cannot be applied to function f on the closed interval [a, b].
What is Rolle's Theorem?
In calculus, Rolle's theorem or Rolle's lemma basically asserts that any real-valued differentiable function that reaches equal values at two different places must have at least one stationary point between them—that is, a position where the first derivative is zero.
As given function is,
f(x) = x^(2/3) - 1
This is basically a cube root of x² in first term.
So, it is continuous for negative numbers even.
So, first condition that is Continuous over [-8, 8] satisfied.
Now differentiate function as follows:
f(x) = x^(2/3) - 1
f'(x) = 2/3 x^(-1/3)
f'(x) = 2/{3x^(1/3)}
Clearly this function is not differentiable at x = 0.
And x = 0 belons to [-8, 8].
So, second condition namely
Differentiable in [-8, 8] does not check out.
Therefore, Rolle's Theorem cannot be applied.
No, because function is not differentiable in the open interval (a, b).
Since Rolle's Theorem cannot be applied, for the value of c.
The Rolle's Theorem cannot be applied to function f on the closed interval [a, b].
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what is the equation ? 8-6|a+7|=-28
Answer:
Hopefully correct:-
Step-by-step explanation:
8-6(a+7)=-28
2(a+7)=-28
(a+7)=-28-2
(a+7)=-30
a=-30-7
a=-37
yOU guys can put A. B. C. or D.
Answer:
C.
Step-by-step explanation:
The answer is C. Square root 4 and square root 9.
Please help ( if you want)
given f(x)=x-5 and g(x)=4x^2+2 find (fof)(x)
Answer:
\((fof) = x - 5 - 5 \\ = x - 10\)
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
Answer:
not enough information
Step-by-step explanation:
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer
How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
6
Answer:
there are three variable terms
Given that p + q = 12 and p² - q² = 60, find the value of p - q.
Answer:
p - q = 5
Step-by-step explanation:
You have p+q = 12 and p²-q² = 60. You want the value of p-q.
Difference of squaresThe difference of squares is factored as ...
p² -q² = (p +q)(p -q)
Substituting given values, this becomes ...
60 = 12(p -q)
Dividing by 12 gives the difference of interest:
5 = p -q
Sneha gets a salary of Rs. 36800 while Alisha gets Rs. 24000 more per month. What is the ratio of the salaries of Sneha and Alisha?
Answer:
The ratio of the salaries of Sneha and Alisha is 3:2. Sneha's salary is Rs. 36800, while Alisha's salary is Rs. 60000
Answer:
23 : 38
Step-by-step explanation:
Amount of salary Sneha gets= ₹ 36,800
Amount of salary Alisha gets= ₹ 24,000 more than Sneha's salary per
month
= ₹ 24,000 + ₹ 36,800
= ₹ 60,800
Ratio of salaries of Sneha and Alisha= 36,800 : 60,800
= 23 : 38
∴ ratio of the salaries of Sneha and Alisha is 23 : 38
A high school athlete runs 1.00 ✕ 102 m in 13.65 s.
What is the velocity in m/s
What is the velocity in km/h?
answe:
102/13.65= 7.47m/s
then multoply by 3600 to get per hour
26.9 km/h
Which is true about the polynomial y2 – 3y + 12? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.
Answer:
Trinomial of degree 2
Step-by-step explanation:
The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.
Also, the largest power for the variable init (y) is the power 2, therefore it is a trinomial of degree 2.
find an equation of the tangent line to the curve y = 16x sin x at the point (π/2, 8π).
The equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.
To find the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π), we need to determine the slope of the tangent line and use the point-slope form of a linear equation.
The slope of the tangent line at a specific point on a curve can be found by taking the derivative of the function at that point.
Given y = 16x sin(x), let's find its derivative:
dy/dx = d/dx (16x sin(x))
= 16 (sin(x) + x cos(x))
To find the slope of the tangent line at (π/2, 8π), substitute x = π/2 into the derivative:
dy/dx = 16 (sin(π/2) + (π/2) cos(π/2))
= 16 (1 + (π/2) * 0)
= 16
Therefore, the slope of the tangent line at (π/2, 8π) is 16.
Now, using the point-slope form of a linear equation, we can write the equation of the tangent line:
y - y₁ = m(x - x₁),
where (x₁, y₁) is the point (π/2, 8π), and m is the slope of the tangent line.
Substituting the values, we have:
y - 8π = 16(x - π/2).
Simplifying:
y - 8π = 16x - 8π.
Rearranging the terms, we get the equation of the tangent line:
y = 16x.
Therefore, the equation of the tangent line to the curve y = 16x sin(x) at the point (π/2, 8π) is y = 16x.
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let f, g, and h be functions n → n. that is, both the input and the output is a natural number. suppose further, that f(n)
In this scenario, we are given three functions: f, g, and h, where the input and output for each function are natural numbers. Additionally, we are given the condition that f(n) < g(n) < h(n) for all natural numbers n.
The objective is to determine the relationship between the three functions based on this condition.Based on the given condition, we can conclude that the output of function g is greater than the output of function f for all natural numbers. Similarly, the output of function h is greater than the output of function g for all natural numbers. This implies that the functions f, g, and h are ordered in increasing order.
In other words, for any input value n, the value of f(n) is the smallest, followed by g(n), and then h(n) is the largest. This order is maintained consistently for all natural numbers. This information allows us to establish the relative magnitudes of the outputs of the three functions and the overall ordering of the functions themselves.
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