Answer:
multiply 31.4x7.9 then add 9.5 to the answer to multiplication prob. Then add your answer in the first sentence. Then multiply 4.6 x 2 . I think that right,good luck : ) luck.
ind the limit of the sequence with the given nth term. an = (7n+5)/7n.
The limit of the sequence is 1. This means that as n gets larger and larger, the terms of the sequence get closer and closer to 1.
The limit of the sequence with the nth term an = (7n+5)/7n can be found by taking the limit as n approaches infinity.
To do this, we can divide both the numerator and denominator by n, which gives:
an = (7 + 5/n)/7
As n approaches infinity, 5/n approaches 0, and we are left with:
an = 7/7 = 1
Therefore, the limit of the sequence is 1. This means that as n gets larger and larger, the terms of the sequence get closer and closer to 1.
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Let E be the solid in the first octant bounded by the cylinder y^2 +z^2 = 25
and the planes x = 0, y = ax, > = 0.
(a) Sketch the solid E.
The question asks to sketch the solid E, which is bounded by the cylinder y^2 + z^2 = 25 and the planes x = 0, y = ax, and z = 0 in the first octant.
The solid E can be visualized as a portion of the cylinder y^2 + z^2 = 25 that lies in the first octant, between the planes x = 0 and y = ax (where a is a constant), and above the xy-plane (z = 0). To sketch the solid E, start by drawing the xy-plane as the base. Then, draw the cylinder with a radius of 5 (since y^2 + z^2 = 25) in the first octant. Next, draw the plane x = 0, which is the yz-plane. Finally, draw the plane y = ax, which intersects the cylinder at an angle determined by the value of a. The resulting sketch will show the solid E, which is the region enclosed by the cylinder, the planes x = 0, y = ax, and the xy-plane.
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A trout swam at a steady speed for 1.5minutes. It swam 9,900 centimeters in that time. What was its speed?
Answer:
6,600 cm per minute
Step-by-step explanation:
I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.
if this following sequence represents a simulation of 5 random numbers trials, r (for 0 <= r <= 1), what is the average drying time: r1 = 0.17 ; r2 = 0.22 ; r3 = 0.29, r4 = 0.31 , and r5 = 0.42.
The average drying time, based on the given sequence of 5 random numbers (r1 = 0.17, r2 = 0.22, r3 = 0.29, r4 = 0.31, and r5 = 0.42), is 0.282 seconds.
To calculate the average drying time, we sum up all the drying times and divide by the number of trials. In this case, the drying times are represented by the random numbers r1, r2, r3, r4, and r5.
Average drying time = (r1 + r2 + r3 + r4 + r5) / 5
Substituting the given values:
Average drying time = (0.17 + 0.22 + 0.29 + 0.31 + 0.42) / 5
= 1.41 / 5
= 0.282
Therefore, the average drying time, based on the given sequence of random numbers, is approximately 0.282 seconds. This average represents the expected value of the drying time based on the given trials. It provides a summary measure of central tendency for the drying times observed in the simulation.
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Which of the following is true? I. In a t-test for a single population mean, increasing the sample size (while everything else the same) changes the number of degrees of freedom used in the test. II. In a chi-square test for independence, increasing the sample size (while everything else the same) changes the number of degrees of freedom used in the test. III. In a t-test for the slope of the population regression line, increasing the number of observations (while leaving everything else the same) changes the number of degrees of freedom used in the test. (A) I only (B) I and II only (C) I and III only (D) II and III only (E) I, II and III
The correct option is (C) I and III only. Let's see how:
I. True. In a t-test for a single population mean, increasing the sample size (while everything else remains the same) changes the number of degrees of freedom used in the test. The degrees of freedom for a single population mean t-test is calculated as (sample size - 1), so when the sample size increases, the degrees of freedom also increase.
II. False. In a chi-square test for independence, increasing the sample size (while everything else remains the same) does not change the number of degrees of freedom used in the test. The degrees of freedom in a chi-square test for independence are calculated as (number of rows - 1) x (number of columns - 1), which is not affected by the sample size.
III. True. In a t-test for the slope of the population regression line, increasing the number of observations (while leaving everything else the same) changes the number of degrees of freedom used in the test. The degrees of freedom for a regression slope t-test is calculated as (number of observations - 2), so when the number of observations increases, the degrees of freedom also increase.
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Let X={a, b, c}. Define a function S from P(X) to the set of bit strings of length 3 as follows. Let Y⊆X. If a∈Y, set 1=0 s1=0; If a∉∈/Y, set 1=1s 1=1; If b∈Y, set 2=0 s2=0; If b∉Y, set 2=1 2=1; If c∈Y, set 3=0 s3=0; If c∈Y, set 3=1s 3=1. Define S(Y)=1, 2, 3; s1, s2, s3. What is the value of S(X)?
The function S maps subsets of X to bit strings of length 3. For each element in X, if it belongs to the subset Y, the corresponding bit in the string is set to 0; otherwise, it is set to 1. The value of S(X) will provide the bit string representation of all elements in X.
Given the set X={a, b, c}, the function S maps subsets of X to bit strings of length 3. Let's determine the value of S(X).
For element a, since a∈X, the corresponding bit s1 is set to 0.
For element b, since b∈X, the corresponding bit s2 is set to 0.
For element c, since c∈X, the corresponding bit s3 is set to 0.
Therefore, the value of S(X) is 0, 0, 0; representing that all elements a, b, and c are present in the set X.
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how many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) length is 6 and the password must contain at least one digit. (b) length is 6 and the password must contain at least one digit and at least one letter.
The number of ways are = 1867866560
What is permutations and combinations?By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.Here, the differences between permutation and combination are described in detail. Here, we'll talk about both subjects with formulas, examples from everyday life, and questions that have been answered. Students can also work on the Permutation and Combination Worksheet to improve their understanding of this subject and learn shortcuts for answering more questions.According to our question-
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Hence, The number of ways are = 1867866560
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Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
25
15
375
10
Answer:
15
Step-by-step explanation:
\(\frac{25}{375} = \frac{1}{x}\)
Cross multiply to get 25x = 375
Divide each side by 25 to get x = 15
2 cos x - sin x=3/(2 cos x+sin x)
The solution of the trigonometric equation is x = 26.57° or 153.43°
What is a trigonometric equation?A trigonometric equation is an equation that contains the trigonometric ratios.
How to solve for x in the trigonometric equation?Given the trigonometric equation 2cos x - sin x = 3/(2cos x + sin x)
We solve for x in the equation. We proceed as follows.
Since 2cos x - sin x = 3/(2cos x + sin x)
Multiplying both sides by (2cos x + sin x), we have that
(2cos x - sin x)(2cos x + sin x) = 3
Now, we know that (a² - b² = (a + b)(a - b)
Applying this where a = 2cosx and b = sinx, we have that
(2cos x - sin x)(2cos x + sin x) = 3
(2cos x)² - (sin x)² = 3
4cos² x - sin² x = 3
Since sin²x = 1 - cos²x, substituting this into the equation, we have that
4cos² x - sin² x = 3
4cos² x - (1 - cos²x) = 3
4cos² x - 1 + cos²x = 3
4cos² x + cos²x = 3 + 1
5cos²x = 4
cos²x = 4/5
Taking square root of both sides, we have that
cosx = ±√(4/5)
cosx = ±2/√5)
cosx = ±2/√5 × √5/√5
cosx = ±2√5/5
Taking inverse cosine of both sides, we have
x = cos⁻¹(±2√5/5)
x = cos⁻¹(±0.8944)
x = cos⁻¹(0.8944) or x = cos⁻¹(-0.8944)
x = 26.57° or (180 - 26.57)°
x = 26.57° or 153.43°
So, the solution is x = 26.57° or 153.43°
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Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Answer:
10.75 is the answer I think
regular expressions r and s. describe algorithm verify l(r) = l(s)
To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:
Construct the finite automata for r and s.
Convert both the finite automata to their corresponding deterministic finite automata (DFA).
Minimize the DFAs obtained in step 2.
Compare the minimized DFAs to check if they are equivalent.
If the DFAs are equivalent, then the languages of r and s are also equal.
Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:
Convert both r and s to their equivalent minimal deterministic finite automata (DFA).
Construct the product DFA of the two DFAs obtained in step 1.
Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.
If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).
Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.
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Iris's checking account pays simple interest at 4% per year. She has $180 in her account. Write a linear function to model the amount of money in her checking account at any time t.
A(t)=
The amount of money in Iris's checking account can be modeled by a linear function of the form:
y = mt + b
where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.
In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:
y = 0.04t + 180
For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.
What is the solution that satisfied both line graphed?
The solution that satisfies both line graphs is known as the point of intersection. In other words, it is the point where both lines cross each other. This point represents the values of the variables that make both equations true simultaneously. To find the point of intersection, you can graph both lines on the same coordinate plane and locate where they cross.
Alternatively, you can solve the system of equations algebraically using techniques such as substitution or elimination.
Once you have found the point of intersection, you can verify that it satisfies both equations by plugging in its coordinates into each equation and ensuring that they both yield a true statement. The point of intersection is the unique solution that satisfies both equations, as it is the only point where both lines intersect. If the lines do not intersect (i.e., they are parallel), then there is no solution that satisfies both equations. If the lines are the same (i.e., they overlap), then there are infinitely many solutions that satisfy both equations.
In summary, the solution that satisfies both line graphs is the point of intersection, which can be found either graphically or algebraically. It is the unique point that makes both equations true simultaneously and represents the values of the variables that satisfy both equations.
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if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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..........................
Answer:
There are 2 solutions:
X=-7.5
X=4.5
**The positive one is 4.5** so it should be that
Step-by-step explanation:
"Evaluate the integral using the indicated trigonometric
substitution. Sketch and label the associated right triangle."
∫dx / x^2√4-x^2
So, the final answer is:
(1/2)(-√(4 - x^2) / x) + C. To evaluate the integral ∫dx / (x^2√(4-x^2)), we will use the trigonometric substitution x = 2sin(θ). This substitution is chosen because it simplifies the expression under the square root, as 4 - x^2 becomes 4 - 4sin^2(θ) which can be factored into 4cos^2(θ).
Now, we need to find dx in terms of dθ. Differentiating x with respect to θ, we get:
dx/dθ = 2cos(θ) => dx = 2cos(θ)dθ
Substituting x = 2sin(θ) and dx = 2cos(θ)dθ into the integral:
∫(2cos(θ)dθ) / ((2sin(θ))^2√(4(1-sin^2(θ))))
= ∫(2cos(θ)dθ) / (4sin^2(θ)√(4cos^2(θ)))
Simplifying the integral, we get:
= (1/2) ∫(cos(θ)dθ) / (sin^2(θ)cos(θ))
= (1/2) ∫dθ / sin^2(θ)
Now, use the identity csc^2(θ) = 1/sin^2(θ) and integrate:
= (1/2) ∫csc^2(θ) dθ
= (1/2)(-cot(θ)) + C
To find cot(θ), we draw a right triangle with the opposite side x, the adjacent side √(4 - x^2), and the hypotenuse 2:
cot(θ) = adjacent / opposite = √(4 - x^2) / x
So, the final answer is:
(1/2)(-√(4 - x^2) / x) + C
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What is 136-117? Please help me.
Answer:
the answer is 19!
To make it easier you can also use an online calculator or if you have one in real life you can use it! You can also do it on paper!
Have a great day! :) <3
what is the answer to 4x + 27
Answer:
Step-by-step explanation:
4x+27
---- ----
4 4
x=6.75 or x=7
Please help me solve this problem! I need help. where to start?
Answer:
150
Step-by-step explanation:
An equilateral triangle has 3 congruent angles.
Each angle of an equilateral triangle measures 60°.
A square has 4 right angles.
Each angle of a square measures 90°.
The measures of the 2 angles of equilateral triangle and one right angle of the square have a total measure of
60° + 60° + 90° = 210°
A full circle has a degree measure of 360°.
x° = 360° - 210°
x = 150
Please help!
Explain how to recognize a difference of two squares.
Answer:
WHEN THE SUM of two numbers multiplies their difference --
(a + b)(a − b)
-- then the product is the difference of their squares:
(a + b)(a − b) = a2 − b2
For, the like terms will cancel.
Symmetrically, the difference of two squares can be factored:
x2 − 25 = (x + 5)(x − 5)
x2 is the square of x. 25 is the square of 5.
The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.
Example 1. Multiply (x3 + 2)(x3 − 2).
Solution. Recognize the form:
(a + b)(a − b)
The product will be the difference of two squares:
(x3 + 2)(x3 − 2) = x6 − 4.
x6 is the square of x3. 4 is the square of 2.
Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.
That is skill in algebra.
And the order of factors never matters:
(a + b)(a − b) = (a − b)(a + b) = a2 − b2.
Step-by-step explanation:
(a+b)(a-b)
use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)
a square-ab+ab-bsquare
translating verbal expressions: 3 less than the square of a number p
Answer: p²-3
Step-by-step explanation:
3 less than the square of a number p=p²-3
When coming across [a less than b], this means b-a.
If you are pretty confused with this variable expression, I will provide to you with some numerical examples.
3 less than the square of 4=4²-33 less than the square of 10=10²-3This pattern will also apply for p
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
Solve the triangle using the law of cosines
edg2021
where did Goku die nnnnnnnnnnnnnnnnnnnnnnnn
Answer:
Goku died you I just started watching
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
Find the percent error in this situation:
Estimated value: 145
Actual value: 189
Answer:
30.3% im so sorry if this is wrong if it is u can report this :(
Step-by-step explanation:
Answer:
23.3%
Step-by-step explanation:
You have to first take the estimated value - the actual value
= 145-189 = -44
Then you want to take -44 divide the actual value which is 189
= -44 / 189= 0.232804233
Lastly, you want to take 0.232804233 and multiply it by 100
= 0.232804233 x 100= 23.28042328
Round that number to get
=23.3%
What should be done for an experiment to be considered verifiable?
We know that an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.
For an experiment to be considered verifiable, several things should be done. Firstly, the experiment should be designed in a way that allows others to replicate it and obtain the same results. This means that all procedures, materials, and variables used should be clearly documented and made available to others.
Secondly, the experiment should be conducted in a controlled environment, where all external factors that could influence the results are minimized or eliminated.
Thirdly, the data obtained from the experiment should be analyzed and interpreted objectively, without any bias or preconceived notions. Finally, the results should be subjected to peer review and scrutiny by experts in the relevant field to ensure that they are valid and reliable.
By following these steps, an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.
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Evaluate the expression when c=36 and d=24
The value of the expression after evaluating it according to the values of c and d is 42.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Since, no expression is given, let us assume that the expression is
c + d / 4
Now we have to evaluate the value of the expression according to the values of c and d,
For that, we will simply put the given values in the expression and solved it accordingly,
Put c = 36 and d = 24 in the expression we assumed,
c + d / 4 = 36 + 24/4
= 36 + 6 = 42
Hence, the value of the expression after evaluating it according to the values of c and d is 42.
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7. f(x)=x2 and g(x)=x-1 Evaluate f(g(3)) =
For each polynomial, identify its degree and say whether the polynomial is in standard forma. x^2 + x^4 - 3x^3 + 14x^2 -5Degree:Standard Form?Answer Yes or Nob. x^6 - x^7 + x^3 - 1Degree:Standard Form?Answer Yes or No
The first polynomial is-
\(x^2+x^4-3x^3+14x^2-5\)Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.
The standard form refers to the polynomial in the right order.
\(x^4-3x^3+15x^2-5\)Therefore, the initial polynomial is not in standard form.
The second polynomial is
\(x^6-x^7+x^3-1\)The degree of this polynomial is 7.
This polynomial is not in standard form since it's not in the right order.