Answers
Answer:
\(r = 107 \\ q + s = 180 - 107 \\ = 73 \\ q = 73 \div 2 \\ = 36.5\)
Related Questions
Primitive function for:
1. f(x)=4e2x+e−x, sådan att F(0)=2
Answers
The primitive function for \(f(x) = 4e^{2x} + e^{-x}\) is given by it's indefinite integral.
To calculate it, recall:
\(\frac{d}{dx}e^{ax}=ae^{ax}\)
\(\int c f(x)dx = c\int f(x)dx\)
Let's begin
\(\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\\)
\(F(x) = 2e^{2x}-e^{-x} +c\)
To find the costant, we just need to use the fact that \(F(0)=2\)
\(F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3\)
Therefore,
\(\boxed{F(x) = 2e^{2x} - e^{-x} -3 }\)
Will someone be able to help me with this math problem, the picture is down below. Please help
Answers
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
Learn more on the Thales theorem here: https://brainly.com/question/14417137
#SPJ1
Why did William Penn found the colony of Pennsylvania
Answers
Religion freedom
Persecuted in England for his Quaker faith, Penn came to America in 1682 and established Pennsylvania as a place where people could enjoy freedom of religion. Penn obtained the land from King Charles II as payment for a debt owed to his deceased father.
Answer:
religous freedom
Step-by-step explanation:
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answers
Answer:
K5.60.
Step-by-step explanation:
In 2005, the price of a guitar was $246. By 2008, the price had increased to $300. Assuming that the guitar's price increases linearly. What is the price of the guitar by 2011?
Answers
Considering the expression of a line, the price of the guitar in 2011 is $354.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.
Equation in this caseBeing:
Price= m× Year + b(x₁, y₁)= (2005, 246)(x₂, y₂)= (2008, 300)the slope can be calculated as:
m= (300 - 246)÷ (2008 - 2005)
m= 54÷ 3
m= 18
Considering point 2 and the slope m, you obtain:
300= 18×2008 + b
300= 36,144 + b
300- 36,144 = b
-35,844 = b
Finally, the equation of the line is Price= 18×Year - 35,844
Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:
Price= 18×2011 - 35,844
Solving:
Price= 36,198- 35,844
Price= 354
In summary, the price of the guitar by 2011 is $354.
Learn more about the equation of a line having 2 points:
brainly.com/question/16137599
#SPJ1
WILL GIVE BRAINLIEST if you show your work
Answers
Answer:
\(\frac{x-9}{4x}\)
Step-by-step explanation:
The image below shows step-by-step on how to evaluate the expression.
Hope this help! :)
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
Answers
Based on the histogram, the shape of the distribution would be Skewed left.
What is the distribution shaped like?When the highest values of a distribution appear as the distribution increases, this will lead to a skewed left distribution.
As is shown by the frequency table, the hours spent in yard per month increased so the distribution will be skewed left.
Find out more on skewed left distributions at https://brainly.com/question/11675051.
#SPJ1
K
A department store paid $49.38 for a salad bowl Overhead expense is 17% of the regular selling price and profit is 11% of the regular selling price. During a clearance sale, the set was sold at a markdown of
44% What was the operating profit or loss on the sale?
The operating
(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
Answers
Operating Loss on the sale of the salad bowl is $19.75.
What are profit and loss?Profit is gained amount after selling any item when selling price is more than the cost.
Loss is the lost amount after selling any item, when selling price is less than the cost.
Given,
Cost of the salad bowl = $49.38
Overhead expense = 17%
Overhead expense
= 17 × 49.38/100
= $8.3936
Total cost
= $49.38 + $8.3936
= 57.7736
Profit = 11%
Profit
= 11 × 49.38/100
= 5.4318
Cost = 57.7736 - 5.4318
Cost = 52.3418
On sale markdown on price = 44%
then selling price = 66%
selling price
= 66×49.38/100
= 3259.08/100
= $32.5908
Loss
= Cost - selling price
= 52.3418 - 32.5908
= 19.751
= $19.75
Hence, there is loss of $19.75 on the sale of salad bowl.
Learn more about profit and loss here:
https://brainly.com/question/13934673
#SPJ9
Hove
Find the average rate of change indicated below.
y = 4x+1
[-1, 1)
A.15
B.3.75
C.1.875
D.7.5
Answers
The average rate of change of the function over the interval is 4
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
y = 4x + 1
The interval is given as
[-1, 1)
The function is a linear function
This means that it has a constant average rate of change
From y = 4x + 1, we have
Rate = 4
Hence, the rate is 4
Read more about average rate of change at
https://brainly.com/question/17131025
#SPJ1
Which description best matches the image?
A.Most of the time, you should drive in this lane position.
B.The operating space of the blue car is closed because the driver's line of sight is restricted.
C.This is the best lane position when approaching a hill or a curve.
D.This depicts the size of the driver's central or straight-ahead vision.
Answers
Answer:
B.The operating space of the blue car is closed because the driver's line of sight is restricted.
Step-by-step explanation:
it is not the best lane because lanes depend on which direction you are going so neither a nor c were correct and the driver's straight-ahead vision is not at this angle for there is a car roof and the driver can't see it like this as if you were above the cars this perspective is from above and also not a central vision
Round to the nearest tenth
Answers
Answer:
17.7
Step-by-step explanation:
\(a^{2} =29^{2} -23^{2} \\a=\sqrt{312} \\=17.6635\)
Round the nearest hundredth. 53.789
Answers
Answer: 53.79
Step-by-step explanation:
Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
Answers
To write the augmented matrix we can arrange the coefficients of the variables and the constants in a matrix form.
\(\left[\begin{array}{ccc}6&-1&|4\\1&1&|6\\\end{array}\right]\)
What is an augmented matrix?
An augmented matrix is a way of representing a system of linear equations in a compact and organized form.
To write the augmented matrix for the system of linear equations 6x - y = 4 and x + y = 6, we can arrange the coefficients of the variables and the constants in a matrix form, as follows:
\(\left[\begin{array}{ccc}6&-1&|4\\1&1&|6\\\end{array}\right]\)
The left side of the vertical bar represents the coefficients of the variables, where the first row corresponds to the coefficients of x and the second row corresponds to the coefficients of y. The right side of the vertical bar represents the constants of the equations. The augmented matrix is formed by combining the coefficients matrix with the constants vector, separated by a vertical bar.
To know more about augmented matrix visit:
brainly.com/question/30403694
#SPJ1
a student sets up the following equation to convert a measurement. (the ? stands for a number the student is going to calculate.) fill in the missing part of this equation. (39 . N/cm) . ____ = ? N/mm
Answers
The resulting answer is 39000 N/mm, this equation can be used to convert a given measurement from N/cm to N/mm.
39000/1 = ? N/mm
Multiply 39 by 1000 to convert centimeters to millimeters.
39000/1 = ? N/mm
Divide the measurement 39000 N/cm by 1 to convert it to N/mm.
The answer is 39000 N/mm.
To convert a measurement from N/cm to N/mm, the equation that needs to be set up is 39000/1 = ? N/mm. This equation can be broken down into two steps. First, the measurement needs to be multiplied by 1000 to convert centimeters to millimeters. Then, 39000/1 needs to be divided to convert the measurement from N/cm to N/mm. The resulting answer is 39000 N/mm. Therefore, this equation can be used to convert a given measurement from N/cm to N/mm.
Learn more about measurement here:
https://brainly.com/question/18827844
#SPJ4
There are how many halves in 2 1/2
Answers
Answer:
there are 5 halves in 2 1/2
Answer:
5
Step-by-step explanation:
1/2 +1/2 = 1
A relief organization supplies blankets, cots, and lanterns to victims of fires, floods, and other natural disasters. One week the organization purchased 25 blankets, 10 cots, and 5 lanterns for a total cost of $1275. The next week, at the same price, the organization purchased 5 blankets, 20 cots, and 5 lanterns for a total cost of $1425. The next week, at the same price, the
organization purchased 5 blankets, 30 cots, and 5 lanterns for a total cost of $1975. Find the cost of each item.
Answers
Step-by-step explanation:
here's your answer for your questions
3.
The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
3cm
(5x + 8) cm
Answers
Answer:
Step-by-step explanation:
The four sides of a square are equal.
7x + 3 = 5x + 8 Subtract 5x from both sides
7x - 5x + 3 = 8 Combine the left
2x + 3 = 8 Subtract 3 from both sides
2x = 8-3 Combine the right
2x = 5 Divide by 2
x = 5/2
x = 2.5
That is not quite the answer
Side = 7x + 3
Side = 7*2.5 + 3
Side = 17.5 + 3
Side = 20.5
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
Answers
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
The table represents a linear relationship. x −2 0 2 4 y −1 0 1 2 Which of the following graphs shows this relationship?
Answers
The graph that shows the linear relationship of the table is attached below.
How to Find the Graph that Represent a Linear Relationship?To determine the graph of a linear relationship, do the following:
Find the slope or rate of change = change in y / change in x.Determine the y-intercept which is the value of y when x = 0, and it represents the value on the y-axis where the line intercepts.Given the table which represents a linear relationship above, use two pairs of values, (0, 0) and (2, 1) to find the slope:
Slope = change in y / change in x = (1 - 0) / (2 - 0)
Slope = 1/2.
The y-intercept (b) = 0.
Thus, this means that the graph of the linear relationship will have a slope of 1/2 and crosses the y-axis at 0.
Thus, the graph is shown below.
Learn more about the graph of linear relationship on:
https://brainly.com/question/7040405
#SPJ1
what is 15% of 200?............
Answers
Answer:
30
Step-by-step explanation:
Answer:
itz 30 my dude
Find the area. See image below.
Answers
Answer:
530 in ^2
Step-by-step explanation:
The figure given is a triangle
We use the formula for the area of a triangle
A = 1/2 bh where b is the length of the base and h is the height
The height is perpendicular to the base( at 90 degrees)
A = 1/2 ( 26.5) * ( 40)
= 530 in ^2
Answer:
\( \red{530 \: {in}^{2} }\)
Step-by-step explanation:
The formula to find the area of a triangle is:
\(Area = base \times height\)
Let us find it now.
Area = 1/2 × base × height
Area = 1/2 × 26.5 in × 40 in
Area = 530 in^2
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
Answers
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
for more search question function
https://brainly.com/question/25638609
#SPJ8
What does the law of large numbers mean
Answers
Answer:
the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times.
give brainlist
Step-by-step explanation:
Need the value of X. Thank you!
Answers
Answer:
\(44 + 104 + (18 + 7x) = 180 \\ 7x = 180 - 44 - 104 - 18 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2\)
THE REASON IS THE SUM OF ANGLES OF A TRIANGLE IS 180°
HOPE THIS HELPS!
What integer is closest to the radius of a circle with a circumference of 50.27?
Answers
The integer which is closest to the radius of a circle with a circumference of 50.27 as required is; Choice A; 8.
Which answer choice is closest to the radius of the circle?It follows from the task content that the integer which is closest to the radius of the circle whose circumference is; 50.27 is to be determined.
Recall; Circumference, C = 2πr
r = C / 2π
r = 50.27 / 2π
r = 8.000718989
Ultimately, the integer which is closest to the radius is; Choice A; 8.
Read more on circumference of a circle;
https://brainly.com/question/18571680
#SPJ1
IF THERE ARE 12 RUNNERS IN A RACE , HOW MANY DIFFERENT ORDERS COULD THE ALL RUNNERS FINISH?
Answers
Answer:
12
1,2,3,4,5,6,7,8,9,20,11,12
Find the value of x.
Answers
Assuming the dark gray area is a straight line, the whole thing should add up to 180*. If we have our 180*, minus 79*, you'll have 101*. BUT, we also have to divide that by two to get our x answer, so the value of x would be 50.5*.
5/6 x 2/5 Help pls!!!
Answers
Step-by-step explanation:
10/30
hope this helps.............
What is the value of AB?
Answers
Answer:
use the pythogoras thoerem making aright angled traingle
and multiply the result by 2
ab = 2*8 =16
Step-by-step explanation:
Solve the inequality p - 9 is less than -9
Answers
p is less than 18, so p<18
explanation:
you add 9 to both sides, then you get p<18