Answer:30.69230769 in decimal form
399/13 in percent form
30 9/13 in fraction form
These are all the means in different forms.
Step-by-step explanation:
Solve each equation on the interval [0,2????). Make sure to use proper solution set notation. a. tan 3x = √3/3 b. 2tetha/3 = -1 c. sin(2x - ????/4 ) = √2/2 d. 2 cos^2 x + 3 cos x + 1 = 0
The solution sets are written in proper solution set notation, using the set builder notation {x | condition}. The "n ∈ Z" indicates that n is an integer.
Solving each equation on the interval [0, 2π):
a. tan 3x = √3/3
3x = tan^-1(√3/3)
3x = π/6
x = π/18
Solution set: {π/18 + 2nπ/3 | n ∈ Z}
b. 2θ/3 = -1
2θ = -3
θ = -3/2
Solution set: {-3π/2 + 2nπ | n ∈ Z}
c. sin(2x - π/4) = √2/2
2x - π/4 = π/4
2x = π/2
x = π/4
Solution set: {π/4 + nπ | n ∈ Z}
d. 2 cos^2 x + 3 cos x + 1 = 0
(2 cos x + 1)(cos x + 1) = 0
2 cos x + 1 = 0 or cos x + 1 = 0
cos x = -1/2 or cos x = -1
x = 2π/3 or x = π
Solution set: {2π/3 + 2nπ, π + 2nπ | n ∈ Z}
For more about equation:
https://brainly.com/question/29657992
#SPJ11
If pure water is added to a 15% alcohol solution, what percent alcohol is being added?
If I understand your question correctly, pure water is 0% alcohol, so by adding water, this will dilute your 15% alcohol solution and lower the percentage of alcohol in the solution.
Many word problems are set up like "You have some amount of 15% alcohol solution and you add some pure water. You end up with some other amount of the diluted mixture. How much 15% alcohol solution and how much pure water were mixed."
For those ones, use 0% alcohol for your pure water.
Help, I can’t solve this question
A. Is 88
B. Is 24
C. Is none
D. Is 17 because
8 12 17 22 29
X. X. X. X
e y-coordinate of the y-intercept of the polynomial fu f(x)=-2x^(5)-3x^(2)+2x-3x^(4)-6x^(3) Submit Answer
The y-intercept of a polynomial function is the point at which the graph of the function intersects the y-axis.
This occurs when the x-coordinate is 0. So, to find the y-intercept of the given polynomial function, we need to substitute 0 for x and simplify:
f(x)=-2x^(5)-3x^(2)+2x-3x^(4)-6x^(3)
f(0)=-2(0)^(5)-3(0)^(2)+2(0)-3(0)^(4)-6(0)^(3)
f(0)=0-0+0-0-0
f(0)=0
Therefore, the y-intercept of the given polynomial function is (0,0).
To know more about polynomial refer here:
https://brainly.com/question/11536910
#SPJ11
Which interval contains a local maximum for this function?
Analyze the table of values for the continuous function, f(x), to complete the statements.
Which interval contains a local minimum for this function?
The interval that contains a local minimum for this function is (0,2).
Explain the term local minimum?A local maximum is present on the graph of the function y = f(x) at the location where the graph shifts from increasing towards decreasing.
The tangent possesses zero slope at this location.At the point when the graph shifts from declining to increasing, a local minimum is present.Local maxima are points in an interval where the values of the function at those points are never greater than the values of a function nearby.By first differentiating f(x), which is continuous and twice differentiable, with regard to x, and then equating it to 0, we can determine its greatest value.Thus, over the span, a local minimum happens (0,2)
Know more more about local minimum
https://brainly.com/question/2437551
#SPJ1
The table for the function is given:
(PLS HELP!!)
In the rectangle below, EI=3x+6, EG= 5x + 16, and m
Find the value of x and m ZIHE.
The value fo x is 4 and the angle is 45 degrees
How to determine the value fo x and the angleFrom the question, we have the following parameters that can be used in our computation:
The rectangle
The diagonals of a rectangle bisect each other
Using the above as a guide, we have the following:
2 * (3x + 6) = 5x + 16
So, we have
6x + 12 = 5x + 16
Evaluate the like terms
x = 4
Next, the diagonals of rectangle bisect the angles
So, we have
IHE = 45 degrees
Read more about rectangle at
https://brainly.com/question/25292087
#SPJ1
The variable a is jointly proportional to b and c. If a=79 when b=6and c=3, what is the value of a when b=3 and c=7? Round your answer to two decimal places if necessary.
The value of a is 92.17 when b=3 and c=7.
What is jointly proportional ?Jointly proportional refers to a relationship between two or more variables in which all of the variables increase or decrease together in the same ratio. For example, if one variable doubles, the other variables double as well.
The variable a is jointly proportional to b and c, which means that a = k*b*c, where k is the constant of proportionality.
We can use the given values of a, b, and c to find the value of k:
79 = k*6*3
79 = 18k
k = 79/18
Now that we know the value of k, we can use it to find the value of a when b=3 and c=7:
a = k*b*c
a = (79/18)*3*7
a = 92.17
Therefore, the value of a when b=3 and c=7 is 92.17.
To know more about Jointly proportional click on below link:
https://brainly.com/question/24146245#
#SPJ11
How do the factors of a polynomial function relate to the graph of the function?
PLEASE HELP IM TIMED!
The value for the function f(g(-2)) is obtained as f(g(-2)) = 0.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The graph for the function y = f(x) is given.
The graph for the function y = g(x) is given.
We need to evaluate the function f(g(-2)).
From the graph of y = g(x) the value for g(-2) is obtained as -
g(-2) = 1
So, now we have -
f(g(-2)) = f(1)
From the graph of y = f(x) the value for f(1) is obtained as -
f(1) = 0
Therefore, the value is obtained as 0.
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
For a function f(x) and a particular input value x=a, then we may write the difference quotient as
(f(a+h)−f(a))/h
where h≠0.
Now, let Q(x)=3x^2+5x+10 and consider the input value a=3. We could now write the difference quotient as
(Q(3+h)−Q(3))/h
where h≠0h≠0.
Use this difference quotient to calculate the average rate of change of f(x) from x=3 to x=3+h for the following particular values of h.
When h=0.2, the average rate of change of Q(x) is?
The average rate of change of Q(x) from x=3 to x=3+h for h=0.2 is 21.2.
To find the average rate of change of Q(x) from x=3 to x=3+h, we need to plug in the values of h and a into the difference quotient and simplify.
When h=0.2, the difference quotient becomes:
(Q(3+0.2)−Q(3))/0.2
= (Q(3.2)−Q(3))/0.2
= ((3(3.2)^2+5(3.2)+10)−(3(3)^2+5(3)+10))/0.2
= ((30.24+16+10)−(27+15+10))/0.2
= (56.24-52)/0.2
= 4.24/0.2
= 21.2
Therefore, when h=0.2, the average rate of change of Q(x) is 21.2.
For more such questions on Average rate of change.
https://brainly.com/question/28744270#
#SPJ11
Jeremy has GHC 502. 0. He gave Owiredu 3/10 of his money. How much did he give Owiredu?
The amount ( 3 /10 ) of total money given by Jeremy to Owiredu is equal to GHC 150.6.
Total amount of money with Jeremy in GHC is equal to 502.0
Amount of fraction of the money Jeremy gave to Owiredu is equal to
3 / 10.
Amount of money Jeremy gave to Owiredu is equal to
= ( 3 / 10 ) of GHC 502.0
= ( 3 / 10 ) × GHC 502.0
Multiply 3 to the 502.0 in the given expression we get,
= GHC ( 1506 / 10 )
Divide 1506 by 10 in the given expression we get,
= GHC 150 .6
Therefore, amount of money Jeremy gave to Owiredu is equal to GHC 150.6.
Learn more about money here
brainly.com/question/11395023
#SPJ4
(8+5)/(y+6) how can this expressions best be described A. this is a quotient of two sums B. this is a difference of a quotient C. this is a sum and a difference D. this is a product of two sums (8+5)/(y+6)
In response to the aforementioned query, we may say that As a result, expressions the response is A. A quotient of two sums is this.
what is expression ?Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression. For example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
It is better to refer to the phrase (8+5)/(y+6) as "a quotient of two sums" since it divides the sum of 8 and 5 by the sum of y and 6.
As a result, the response is A. A quotient of two sums is this.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
What is the % of the votes did MRS Naido receive write the answers to theearst wholw%
Based on these numbers, M Venkaiah Naidu secured around 68% of the valid votes cast, while Gopalkrishna Gandhi received around 32%.
In the vice-presidential election, M Venkaiah Naidu received 516 valid votes, while his opponent Gopalkrishna Gandhi received 244 valid votes. The total number of valid votes cast was 760, which is the sum of the votes received by the two candidates.
It's worth noting that the 68% figure only represents the proportion of valid votes cast, which excludes any abstentions or spoiled ballots. Additionally, this percentage reflects the support M Venkaiah Naidu received among the MPs who voted and may not necessarily reflect the views of the general public or the broader electorate.
Overall, M Venkaiah Naidu's victory in the election was decisive, with a difference of 272 valid votes between him and Gopalkrishna Gandhi, which was greater than the latter's total number of votes.
Complete question:
According to BJP sources, around two dozen MPs from opposing parties disobeyed their leaders and supported M Venkaiah Naidu for vice president of the NDA. Against the estimated 495 votes of pledged support, Mr. Naidu received 516 votes.
With nearly 68% of genuine votes going to Venkaiah Naidu and 32% going to the opposition's Gopalkrishna Gandhi, who earned 244 votes, the difference between the two candidates was bigger at 272 than Mr. Gandhi's total.
What is the % of the votes did MRS Naido receive to write the answers to the east wholw%
To learn more about vice-presidential election
https://brainly.com/question/3076181
#SPJ4
i ijijiijiiiiiiiiiiiiiiiiiiiiiii
Answer: 1.09 is closer to 1
Avery had $25.40 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet after lunch?
A. $18.15
B. $18.30
C. $17.15
Answer:
Step-by-step explanation:
This question doesn't say how much her lunch cost.
Given f(x) = x – x^2 and g(x) = 4x – 2 Remember to document your steps so that someone reading your solution can understand what you did how your work results in the answers you give
(a)simplify f(-3)
(b)simplify g(x^2)/2
(c)simplify f(g(x))
(d)simplify g(g(x))-x
We have the following answers:
(a)[tex]f(-3) = -12[/tex](b) [tex]g(x^2)/2 = 2x^2 - 1[/tex] (c) [tex]f(g(x)) = -16x^2 + 20x - 6[/tex](d) [tex]g(g(x)) - x = 15x - 10[/tex]Solution:
(a) To simplify [tex]f(-3)[/tex], we need to plug in [tex]-3[/tex] for [tex]x[/tex] in the function [tex]f(x) = x - x^2[/tex]:
[tex]f(-3) = (-3) - (-3)^2\\f(-3) = -3 - 9\\f(-3) = -12[/tex]
(b) To simplify [tex]g(x^2)/2[/tex], we need to plug in [tex]x^2[/tex] for [tex]x[/tex] in the function[tex]g(x) = 4x - 2[/tex], and then divide the result by 2:
[tex]g(x^2)/2 = (4(x^2) - 2)/2\\g(x^2)/2 = (4x^2 - 2)/2\\g(x^2)/2 = 2x^2 - 1[/tex]
(c) To simplify [tex]f(g(x))[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function[tex]f(x) = x - x^2[/tex]:
[tex]f(g(x)) = (4x - 2) - (4x - 2)^2\\f(g(x)) = 4x - 2 - (16x^2 - 16x + 4)\\f(g(x)) = -16x^2 + 20x - 6[/tex]
(d) To simplify [tex]g(g(x)) - x[/tex], we need to plug in the function [tex]g(x) = 4x - 2[/tex] for [tex]x[/tex] in the function [tex]g(x) = 4x - 2[/tex], and then subtract x from the result:
[tex]g(g(x)) - x = (4(4x - 2) - 2) - x\\g(g(x)) - x = (16x - 8 - 2) - x\\g(g(x)) - x = 15x - 10[/tex]
See more about simplify the expression at; https://brainly.com/question/1280754
#SPJ11
15% of 35 and show working out.
Answer: 5.25
Step-by-step explanation:
First, a percent divided by 100 is a decimal.
15% / 100 = 0.15
Next, we are finding 15% of 35. In mathematical terms, "of" usually represents multiplication. We will multiply 0.15 by 35 to find 15% of 35.
0.15 * 35 = 5.25
1. Write a function for the graph shown below. There is no stretching or shrinking involved.
From the graph of the function we determine, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].
What is an exponential function?A function is said to be an exponential function when the exponent is the independent variable.
Let, The given function be f(x) = abˣ.
Now, At x = 0,
1 = ab⁰.
a = 1.
Again at,
x = 3,
2 = a.b³.
b³ = 2.
b = [tex]2^{\frac{1}{3}[/tex].
Therefore, The given function is, [tex]y = 1.(2^{\frac{1}{3}})^x[/tex].
learn more about exponential functions here :
https://brainly.com/question/14355665
#SPJ9
Help me pleaseeeeeeee
26. The equation in slope-intercept form is y = 3x + 20.
27. The equation in slope-intercept form is y = (1/4)x - 11.
30. The equation in point-slope form is y - (-3) = -6(x - 2)
31. The equation in slope-intercept form is y = -6x + 9.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
26.
y-8 = 3(x+4)
y - 8 = 3x + 12 (distribute the 3)
y = 3x + 12 + 8 (add 8 to both sides)
y = 3x + 20
The equation in slope-intercept form is y = 3x + 20.
27.
y+5= (1/4)(x-24)
y + 5 = (1/4)x - 6
y = (1/4)x - 6 - 5
y = (1/4)x - 11
The equation in slope-intercept form is y = (1/4)x - 11.
To find the equation of a line with a slope of -6 that goes through (2,-3), we can use the point-slope form.
Point-slope form:
y - y₁ = m(x - x₁) where m is the slope and (x₁,y₁) is the point
Substituting m = -6, x₁ = 2, and y₁ = -3, we get:
y - (-3) = -6(x - 2)
y + 3 = -6x + 12
y = -6x + 9
The equation in slope-intercept form is y = -6x + 9.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ1
6. This table shows the population of a town from years 2000 to 2008.
Year Population
x y
2000 236,732
2001 238,645
2002 239,839
2003241,046
2004 242,078
2005 245,259
2006 249,432
2007 254,538
2008 259,851
What is the average rate of change between the years 2002 and 2007?
A 2,398.25
B. 2,939.8
C. 3,335.33
D. 3,373.4
The average rate of change between the years 2002 and 2007 was 2,.939.8 (option B).
How to calculate the average rate of change?In demographics, the average rate of change refers to how much the population of a city, country, etc. changes over a year period usually by increasing or decreasing. Due to this, the rate of change can be calculated by using the following formula change in the population/ number of years.
239,839 (population in 2002) - 254,538 (population in 2007)
2007 - 2002 = 5 years (number of years)
14699 / 5 years = 2,.939.8 (option B)
Learn more about the population in https://brainly.com/question/27991860
#SPJ1
Find the missing side of each triangle round your answer to the nearest 10th if necessary.
Answer: x = 9
Step-by-step explanation:
We must use Pythagorean's Theorem, a² + b² = c².
Let a = x
a² + 12² = 15²
a² + 144 = 225
a² = 81
a = 9
x = 9
Hope this helps!
19 Zul's password to unlock his mobile phone screen consists of 4 digits. Each digit can be chosen from 0, 1, 2, ..., 9. What is the probability to unlock the screen in one attempt if he knows (a) the first three digits are 970? (b) there are three 1s? (c) the last two digits are 00?
Answer:
(a) Since Zul's password consists of 4 digits and the first three digits are 970, there is only one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/10.
(b) If there are three 1s in the password, there is only one possible arrangement for the other digit. There are four places where the other digit can be placed, so there are four possible passwords. Thus, the probability to unlock the screen in one attempt is 4/10^4, which simplifies to 1/2500.
(c) If the last two digits are 00, there is only one possible arrangement for the first two digits. There are ten possible digits for the third digit and one possible digit for the fourth digit. Thus, the probability to unlock the screen in one attempt is 1/(101010*1), which simplifies to 1/1000.
What is the common ratio of this geometric sequence
Answer: 3
Step-by-step explanation:
Each number is being multiplied by 3 to get the next number
Answer:
The common ratio is 3
Step-by-step explanation:
Since this is a geometric sequence you know you will be either adding or dividing. If you do 3159/3 you get 1053 and if you divide 1053 by 3 you get 351. So therefore the common ratio of this sequence is 3
I'm assuming this problem is going left to right. Right?
Are all equilateral triangles similar? Use transformation to explain.
Rajiv is expanding his garage by removing a wall that separates the garage from a closet. Which expressions can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall? Choose all the correct answers.
A. 14.5x + 12
B. 12(14.5 + x)
C. 174 + x
D. 26.5 + x
F. 12(14.5x)
G. 12x + 174
The expressions that can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall are
12(14.5 + x)12x + 174How to solve for the total surface areaWe have to solve for the total area of the garage of Rajiv after he had removed the wall
This is given as
12 * x + 12 * 14.5
= 12(14.5 + x)
Option B
When we expand the expression 12(14.5 + x)
174 + 12x
re written as
12x + 174
Option G
The expression that can be used to determine the total area, in square feet, of Rajiv's garage after he removes the wall is given as 12(14.5 + x), 12x + 174
Read more on total area here:https://brainly.com/question/16519513
#SPJ1
What is the difference in area between a circle with a
radius of 10cm and regular pentagon inscribed in it, to the nearest
whole?
The difference in area between a circle with a radius of 10cm and regular pentagon inscribed in it is 142cm².
The difference in area between a circle with a radius of 10cm and a regular pentagon inscribed in it can be found by first finding the area of the circle and then the area of the pentagon, and then subtracting the two values.
To find the area of the circle, we use the formula
A = πr²,
where r is the radius of the circle. In this case, r = 10cm, so the area of the circle is:
A = π(10cm)²
A = 100π cm²
To find the area of the regular pentagon, we can use the formula
A = (1/4)n*a² * cot(π/n),
where n is the number of sides of the polygon and a is the length of one side. Since the pentagon is inscribed in the circle, we can use the radius of the circle to find the length of one side of the pentagon.
The length of one side of the pentagon is:
a = 2r * sin(π/n)
a = 2(10cm) * sin(π/5)
a = 11.756cm
Now we can plug this value into the formula for the area of the pentagon:
A = (1/4)(5)(11.756cm)² * cot(π/5)
A = 172.047cm²
Finally, we can subtract the area of the pentagon from the area of the circle to find the difference in area:
Difference in area = 100π cm² - 172.047cm²
Difference in area = 314.159cm² - 172.047cm²
Difference in area = 142.112cm²
To the nearest whole, the difference in area between the circle and the pentagon is 142cm².
Learn more about circle here:
https://brainly.com/question/10209400
#SPJ11
Determine the length and width of a rectangle if the perimeter is
26 and the length is four more than twice the width
The length and width of the rectangle are 10 and 3, respectively.
Let's use "l" to represent the length of the rectangle and "w" to represent the width. From the problem statement, we've got portions of information:
The perimeter is 26. The formulation for the perimeter of a rectangle is P = 2l + 2w. So we are able to write:
2l + 2w = 26
The length is four extra than twice the width. In equation shape:
l = 2w + four
Now we can use substitution to resolve for the length and width. we will alternative the expression 2w + 4 for l within the first equation:
2(2w + 4) + 2w = 26
Simplifying:
4w + 8 + 2w = 26
6w + 8 = 26
6w = 18
w = 3
So the width of the rectangle is three. To discover the length, we're going to substitute w = 3 into the equation for l:
l = 2w + 4 = 2(3) + 4 = 10
So the length of the rectangle is 10.
Thus, the length and width of the rectangle are 10 and 3, respectively.
Learn more about Perimeter of rectangle formula:-
https://brainly.com/question/20853439
#SPJ4
Plot the points A(-1,-2), B(1, 6), C(3, 1) on the coordinate axes below. State the coordinates of point D such that A, B, C, and D would form a parallelogram. (Plotting point D is optional.)
Point D's coordinates are (-3, 3).
We may use the fact that the opposite sides of a parallelogram are parallel and the same length to get the coordinates of point D such that ABCD forms a parallelogram.
First, we may determine the segment AB's length and slope:
Length AB = sqrt((1 - (-1))² + (6 - (-2))²) = sqrt(64) = 8
Slope AB = (6 - (-2)) / (1 - (-1)) = 8/2 = 4
As AB and CD are parallel, CD's slope must likewise be 4.
Next, we may determine segment AB's midpoint, which will coincide with segment CD's midpoint:
Midpoint AB is equal to ((-1+1)/2, ((-2+6)/2)). (0,2)
Point D will therefore have the same coordinates as the point that is symmetric to point C around the centre of AB. The following is where to find this point:
Midpoint AB - C = (20-3, 22-1) = D = 2 * (-3, 3)
Hence, point D's coordinates are (-3, 3).
To know more about Coordinates of Point visit:
brainly.com/question/21950350
#SPJ1
Order the given steps for the perpendicular bisector construction of the segment below.
Answer: kdsl.dmcs
Step-by-step explanation:
Ranjit made pies for a fundraiser. He cut all the pies into eighths. After the first day of the fundraiser Ranjit sold 10 slices and had 2- of the pies left. Write and solve an equation to determine how many pies Ranjit made for the fundraiser.
If Ranjit made pies for a fundraiser. The number of pies Ranjit made for the fundraiser is: 26.
How to find the number of pies Ranjit?Let p = total number of pies that Ranjit made
Let s = Total number of slices of pie that he made.
Since each pie is cut into 8 slices, we have:
s = 8p
After the first day of the fundraiser, Ranjit sold 10 slices, which means he had s - 10 slices left. Since he had 2 whole pies left, we know that he had 16 slices left. Therefore:
s - 10 = 16
Substituting s = 8p, we get:
8p - 10 = 16
Adding 10 to both sides, we get:
8p = 26
Dividing both sides by 8, we get:
p = 3.25
This means that Ranjit made 3.25 pies for the fundraiser.
The total number of slices would have been:
s = 8p = 8(3.25) = 26
On the first day, he sold 10 slices, which means he had 16 slices left. This matches our initial calculation and confirms that our solution is correct.
Learn more about number of pies here:https://brainly.com/question/20318545
#SPJ1