Integrate sin^-1(x) dx
please explain how to do it aswell ...?
Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.
7x3y3 + 4 − 11x5y2 − 3x2y
Answer:
Always double check first but I am pretty sure that it is 6
What is the expression in radical form?
(5x4y3)^2/5
Enter your answer, in simplest form, in the box.
What is y=5/6x-3 in standard form
11/9 converted to a mixed number is
To write an improper fraction as a mixed number, divide the denominator into the numerator.
Image is provided.
Therefore, the improper fraction 11/9 can be written as the mixed number 1 and 2/9.
Your poor health causes you to miss one work day every two weeks. You do not get paid when you are out sick. You normally work 8 hours a day and get paid $9.29 per hour. How much pay are you losing each year
The annual loss of income due to missing one work day every two weeks at $9.29 per hour, working 8 hours per missed day, is $1,932.32.
Explanation:To calculate the amount of pay being lost each year due to missing one work day every two weeks, we need to consider the weekly work schedule and hourly wage.
Step-by-Step CalculationThe annual loss of income due to missing one day of work every two weeks at an hourly wage of $9.29 is $1,932.32.
Discuss the continuity of the cosine, cosecant, secant and cotangent functions,
...?
Final answer:
The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. They are continuous everywhere except where the denominator is zero.
Explanation:
The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. These functions are defined for all real numbers except when the denominator becomes zero. Therefore, they are continuous everywhere except where the denominator is zero.
For example, the cosine function, denoted as cos(x), is continuous for all real numbers. It has a periodic nature and oscillates between -1 and 1.
Similarly, the cosecant function, denoted as csc(x), is continuous everywhere except at the points where sin(x) is equal to zero. The secant function, denoted as sec(x), is continuous everywhere except at the points where cos(x) is equal to zero. The cotangent function, denoted as cot(x), is continuous everywhere except at the points where tan(x) is equal to zero.
The border line of the linear inequality 4x-2y<1 is solid.
true or false?
TRUE or FALSE. If chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle, then chord CD is the longer chord.
Answer:
False.
Step-by-step explanation:
Given,
Chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle,
Since, the distance of a chord is inversely proportional to the length of the chord,
That is, the chord that has the smallest distance from the center is largest.
3 < 5
⇒ The distance of chord AB from center < The distance of Chord CD from center
By the above statement,
⇒ The length of chord AB > The length of chord CD.
Hence, the given statement is FALSE.
34 - 2(x + 17) = 23x - 15 - 3x what is x.
Alex has 520 yards of fencing to enclose a rectangular area.
A retangle that maximises the enclosed area has a length of _ yards and a width of _ yards.
The maxium area is _____ yards
The first thing we are going to do for this case is define variables.
We have then:
w: width
l: length
The perimeter is given by:
[tex] 2w + 2l = 520
[/tex]
The area is given by:
[tex] A = w * l
[/tex]
The area as a function of a variable is:
[tex] A (w) = w * (260-w)
[/tex]
Rewriting we have:
[tex] A (w) = -w ^ 2 + 260w
[/tex]
To obtain the maximum area, we derive:
[tex] A '(w) = -2w + 260
[/tex]
We equal zero and clear the value of w:
[tex] -2w + 260 = 0
2w = 260
[/tex]
[tex] w = \frac{260}{2}
w = 130
[/tex]
Then, the length is given by:
[tex] l = 260 - w
l = 260 - 130
l = 130
[/tex]
Finally, the maximum area obtained is:
[tex] A = w * l
A = 130 * 130
A = 16900
[/tex]
Answer:
A retangle that maximizes the enclosed area has a length of 130 yards and a width of 130 yards.
The maxium area is 16900 square yards
ln 1/sqrt e = -1/2 write in exponential form pls show steps ln 1/sqrt e = -1/2 write in exponential form pls show steps
Which pair of variables has a clear causal link between the two named variables?
the number of hats sold and the number of mittens sold in a city
the amount of butter and the amount of bread consumed by a family
the number of notebooks sold and the number of pens sold in a stationery store
the number of air conditioners sold per day in a city and the daily temperature
the number of hours a person can swim and the depth of the pool
NextReset
Answer: The number of air conditioners sold per day in a city and the daily temperature
Step-by-step explanation:
We know that if there is a causal relationship between two variables then one variable is responsible for causing the other variable.
the number of hats sold and the number of mittens sold in a city.there is no causal relationship between the variables since both are independent variables.
the amount of butter and the amount of bread consumed by a family .there is no causal relationship between the variables since both are independent variables.
the number of notebooks sold and the number of pens sold in a stationery store .there is no causal relationship between the variables since both are independent variables.
the number of air conditioners sold per day in a city and the daily temperature .there can be causal relationship between the variables since by increasing or decreasing temperature the the number of air conditioners sold per day in a city can be increased or decreased respectively.
the number of hours a person can swim and the depth of the pool.there is no causal relationship between the variables since both are independent variables.
PLEASE HELP
A line has slope -5/3. Through which two points could this line pass?
A. (12,13), (17,10)
B. (16,15), (13,10)
C. (0,7), (3,10)
D. (11,13), (8,18)
Add 21 1/2 in. 10 9/16 in.
The addition is:
[tex]=\dfrac{513}{16}\ in.[/tex] or [tex]32\frac{1}{16}\ in.[/tex]
Step-by-step explanation:We are asked to add the expression :
[tex]21\frac{1}{2}\ in.[/tex] and [tex]10\frac{9}{16}\ in.[/tex]
both the numbers are in mixed fraction .
We will first change both the numbers into simple fraction as follows:
[tex]21\frac{1}{2}=\dfrac{21\times 2+1}{2}\\\\\\21\frac{1}{2}=\dfrac{43}{2}\ in.[/tex]
and
[tex]10\frac{9}{16}=\dfrac{10\times 16+9}{16}\\\\10\frac{9}{16}=\dfrac{169}{16}\ in.[/tex]
Hence, the addition of the two numbers is calculated as follows:
[tex]\dfrac{43}{2}+\dfrac{169}{16}\\\\\\=\dfrac{43\times 8+169}{16}[/tex]
( Since, on taking lcm of 2 and 16)
Hence, we get:
[tex]=\dfrac{513}{16}\ in.[/tex]
which in mixed fraction is:
[tex]32\frac{1}{16}\ in.[/tex]
What are the least common multiples of 7 and 11
Antarctica comprises about 10.5% of the total land area on Earth. Antarctica has a surface area of about 5,400,000 square miles. What is the total land area on Earth?
solve the exponential equation 9^8x = 27
Answer:
[tex]x=\frac{3}{16}[/tex]
Step-by-step explanation:
Given : Exponential function [tex]9^{8x}=27[/tex]
We have to solve the given exponential equation.
Consider the given exponential function [tex]9^{8x}=27[/tex]
[tex]\mathrm{Convert\:}9^{8x}\mathrm{\:to\:base\:}3[/tex]
[tex]9^{8x}=\left(3^2\right)^{8x}[/tex]
Function becomes,
[tex]\left(3^2\right)^{8x}=27[/tex]
Convert 27 to base 3, we have,
[tex]\left(3^2\right)^{8x}=3^3[/tex]
Apply exponent rule, [tex]\left(a^b\right)^c=a^{bc}[/tex]
We have, [tex]3^{2\cdot \:8x}=3^3[/tex]
[tex]\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2\cdot \:8x=3[/tex]
Simplify, we have,
[tex]16x=3[/tex]
Thus, [tex]x=\frac{3}{16}[/tex]
The sum of two numbers is 66 and the difference is 12 . What are the numbers?
Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Which of the symbols correctly relates the two numbers below? Check all that apply.
55?35
A. less than or equal to
B. more than or equal to
C.<
D. not equal to
E.=
F.>
Answer:
>
Step-by-step explanation:
Given : [tex]55?35[/tex]
To Find: Which of the symbols correctly relates the two numbers below?
Solution:
We are given that [tex]55?35[/tex]
Since we know that 55 is greater than 35 .
So, sign of greater than (>)should replace ?
So, [tex]55>35[/tex]
Hence Option F is correct.
So, [tex]55?35[/tex] = [tex]55>35[/tex]
Option F : >
multiplicative inverse of -3.4
What are the x- and y- intercepts for the line y−3=3(x+5)
Enter your answers in the boxes. please help me
which of the following represents the most accurate estimation if 75-33?
A, 4, D, H, 16, M, 25, _, _ What are the next two in the sequence?
The sequence alternates between letters and squares of integers. The letters seem to follow a particular positional increment pattern, and the numbers are squares of consecutive positive integers. The missing elements in the sequence are R and 36.
The given sequence is: A, 4, D, H, 16, M, 25, _, _. This sequence appears to have two separate patterns interleaved. One pattern is a sequence of letters and the other is a sequence of numbers. For the letters part, A (1st letter), D (4th letter), H (8th letter), M (13th letter), so the next letters might follow an increasing pattern with the position of the letters in the alphabet. For the numbers, we have 4, 16, 25 which are squares of 2, 4, and 5 respectively. To solve for the next elements in the pattern, we would have to decipher the rule that connects the letters with their positions and the next squares of numbers.
The numbers are squares of consecutive positive integers: 2², 4², 5². The next number is 6² which is 36. Following the pattern in letters, after M (the 13th letter), the next letter should be the letter that is five positions ahead because the interval between the previous letters increased by 3 each time (D is 3 letters after A, H is 4 letters after D, M is 5 letters after H), so the next letter should be R (the 18th letter, which is 5 letters after M).
Therefore, the sequence should continue with R, 36.
If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
(ab)(x)
(a/b)(x)
(a – b)(x)
(a + b)(x)
Answer:
Option (a) is correct.
a(x)b(x) = (ab)(x)
To produce a quadratic equation the two linear equation must be multiply.
Step-by-step explanation:
Given : a(x) and b(x) are linear functions with one variable.
We have to choose from the given option the correct expression that will produce a quadratic equation.
Quadratic equation is an equation which is in the form of [tex]ax^2+bx+c[/tex] where [tex]a\neq0[/tex]
Since given a(x) and b(x) are linear equation in one variables so to get square term we must multiply the two linear equations.
Let a(x)=3x+1
and b(x)= 8x+1
then when we multiply we get,
[tex]a(x)\times b(x)=(3x+1)\times (8x+1)=24x^2+11x+1[/tex]
Thus, To produce a quadratic equation the two linear equation must be multiply.
Thus, a(x)b(x) = (ab)(x) is correct.
Option (a) is correct.
Juanita is 15 years old and her brother is 5. what is the ratio of juanita's age to her brother's age?
Answer: The required ratio is 3 : 1.
Step-by-step explanation: Given that Juanita is 15 years old and her brother is 5 years old.
We are to find the ratio of Juanita's age to her brother's age.
Let x and y represents the ages of Juanita and her brother respectively in years.
Then, according to the given information, we have
[tex]x=15,\\\\y=5.[/tex]
Therefore, the ratio of Juanita's age to her brother's age is given by
[tex]x:y\\\\=\dfrac{x}{y}\\\\\\=\dfrac{15}{5}\\\\\\=\dfrac{3}{1}\\\\=3:1.[/tex]
Thus, the required ratio is 3 : 1.
Solve the Inequality.
-5r + 6 ≤ -5(r+2)
To solve the inequality -5r + 6 ≤ -5(r+2), the answer is that this inequality has no solution.
Solve the Inequality:
-5r + 6 ≤ -5(r+2)
Distribute the -5 on the right side: -5r + 6 ≤ -5r - 10
Combine like terms: 6 ≤ -10
Since 6 is not less than or equal to -10, the inequality has no solution.
What is the range of the function h(x) = -8x?
The range of the function h(x) = -8x is all real numbers, as there are no restrictions on the output the function can produce. This is typical of a linear function.
Explanation:The range of a function refers to the possible outputs it can produce. In the case of the function h(x) = -8x, it is a linear function, and there are no restrictions on the values that x can take, meaning x can be any real number between -∞ and +∞. The output, h(x), therefore, can be any real number, also between -∞ and +∞, given that it will be the result of -8 multiplied by x. Therefore, the range of the function h(x) = -8x is all real numbers from -∞ to +∞.
Learn more about range of a function here:https://brainly.com/question/29145252
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you have a full job that pays 2400 per month you decide to take a part time job delivering newspapers that pay 200 per week if 15% is withheld for taxes from both jobs how much would you make in a year after taxes