Answer:
F. \(\frac{12}{13}\)
Step-by-step explanation:
\(cos = \frac{adjacent}{hypotenuse}\)
The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.
The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.
That means that \(cos = \frac{12}{13}\).
I hope this helps!
Answer:it’s f.12/13
Step-by-step explanation:
big brain
4x - y = 6
-5x + y = -9
Answer:
For the first one the slope is 4
For the second one the slope is 0
Step-by-step explanation:
Subtract 4x from both sides of the equation
-y=6-4x
Multiply each step in -y=6-4x by -1
y=-6+4x
For slope intercept form y=mx+b or y=4x+6
Slope : 4
Y intercept is (0,6)
To find the x intercept substitute in 0 for y and solve for x. To find the y intercept substitute in 0 for x and solve for y
X intercept: (9/5, 0)
Y intercept: (0,-9)
Slope is 0 using the formula y=mx+b
Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.
(a) Sandy pays a broker a commission of $14 to buy and sell stock. After one year, Sandy sold all her shares, when they were worth $9.15/share. What was her net gain or loss? Show your work.
(b)The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?
(c)How long will it take the fund she invested in to be worth $10,000?
(d)Sandy’s gross annual income is $51,350. She is paid biweekly and has 5% deducted from her paycheck for her 403(b). Her employer matches her deduction, up to 4%. How much is deposited into Sandy’s 403(b) each payday?
I'll ask me hard to believe that you are you doing for a while back and I have been on a daily basis of a kind of person who is going to be able to get a free agent of a kind
kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?
Answer:
Around 19 rows
Step-by-step explanation:603/31= 19.40 so I'm not too sure
Ben can type 153 words in 3 minutes At this rate, how many words can he type in
10 minutes/
Answer:
Ben can type 153 words in 3 minutes.
Ben can type 153/3 words in 1 minute.
Ben can type 153/3 x 10 words in 10 minutes
=510words
Step-by-step explanation:
Hence, Ben can type 510 words in 10 minutes.
Given g(x)=-5x-4, solve for x when g(x)=1.
Answer:
Your answer is 2
Step-by-step explanation:
If g(x) = -5x - 4 and g(x) = 1 then -5x - 4 = 1.
Given this, we can now solve for x by adding 4 to both sides and then dividing both sides by -5 to isolate the value of x.
-5x-4=1
-5x-4+4=1+4
-5x=5
5 5
5 5
x=-1
I'm not sure what the answer is. If you know, please help me out.
Answer:
Is y = (x+8) (x+3)
Answer:
1. y=(x+8)(x+3)
Step-by-step explanation:
Problem to solve:
what is the estimated height of a building with six stories? does the least squares line give an accurate estimate of height? explain why or why not.
if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height.
The estimated height of a building with six stories would depend on the average height of each story, which can vary depending on the building's design and construction materials. However, a general rule of thumb is that each story in a building is typically between 10 and 14 feet in height, which would put a six-story building between 60 and 84 feet tall.
As for whether the least squares line gives an accurate estimate of height, that would depend on the data being used to generate the line. The least squares method is a statistical technique used to find the line of best fit for a set of data points, with the goal of minimizing the sum of the squared distances between each data point and the line.
If the data used to generate the line is representative of the population of buildings with six stories, then the least squares line should provide a reasonably accurate estimate of height. However, if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height. Therefore, it is important to carefully examine the data and consider potential biases before using the least squares method to make predictions.
To learn more about least squares visit: https://brainly.com/question/29834077
#SPJ11
Someone help me I need to get this finished by tomorrow ASAP
What number is the opposite of the opposite of 68?
Answer:
it's(-68) if you mean negative positive wise
help me please i have to finish this soon and im stuck on this problem
Answer:
hjjjbcujnkknvcczynmcs
45 students participate in a sporting event. The winners are awarded rupees 1000 and all the others are awarded ruppees 200 each gor participation. If the total amount of prize money distributed is ruppees 22,600 find the total number of winners
Answer:
The total number of winners is 17.
Step-by-step explanation:
Let's assume that the number of winners is "x". Then the number of participants who did not win is "45 - x".
The amount of money awarded to the winners is 1000x rupees.
The amount of money awarded to the participants who did not win is 200(45 - x) rupees.
According to the question, the total amount of prize money distributed is 22600 rupees. So we can write:
\(\sf\implies 1000x + 200(45 - x) = 22600 \)
Simplifying this equation:
\(\sf\implies 1000x + 9000 - 200x = 22600 \)
\(\sf\implies 800x = 13600 \)
\(\sf\implies x = 17 \)
Therefore, the total number of winners is 17.
Hope it helps!
Which detail of the setting shows mr. collins's status
compared to lady catherine's?
The detail of the setting that shows Mr. Collins's status compared to Lady Catherine's is their respective residences. Mr. Collins lives in the humble parsonage adjacent to the grand estate of Lady Catherine de Bourgh.
Mr. Collins's residence, being a parsonage, indicates his lower social status. Parsonages were typically small, modest houses provided to clergymen by the church. In contrast, Lady Catherine's estate is described as grand and imposing, reflecting her elevated social position as a wealthy aristocrat.
The difference in their residences not only signifies their differing social statuses but also highlights the hierarchical adjacent relationship between the characters.
Mr. Collins's proximity to Lady Catherine's estate emphasizes his dependence on her patronage and the power dynamic between them. Lady Catherine's opulent residence further reinforces her elevated position in society and her authority over Mr. Collins.
learn more about Adjacent:
brainly.com/question/30475291
#SPJ11
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
x + y = 30
65x + 80y = $2,200
The only option that matches this is D
Hope that helps!
-Sabrina
the average retail price of gasoline (all types) for the first half of 2005 was 212.2 cents. what would the standard deviation have to be in order for a 22% probability that a gallon of gas costs less than $1.80? round z-value calculations to two decimal places and final answer to the nearest cent.
In order for a 22% probability that a gallon of gas costs less than 1.80, the standard deviation have to be 39.21 cents.
Given data,
The average retail price of gasoline (all types) for the first half of 2005 was 212.2 cents.
What would the standard deviation have to be in order for a 22% probability that a gallon of gas costs less than 1.80?Round z-value calculations to two decimal places and final answer to the nearest cent.
Method First, we have to calculate the z-value of 1.80.
Mean = 212.2 cents Standard deviation = ?
Value = 180 cents
Z = (x - μ) / σ
where, x = 180
μ = 212.2
σ = standard deviation of price distribution
Z = (180 - 212.2) / σ0.22 = P(z < (180 - 212.2) / σ)From standard normal distribution table (attached),
P(z < 0.84) = 0.7995.0.22 = 0.7995(180 - 212.2) / σσ = (180 - 212.2) / (0.22 × 0.7995)σ = 39.21 cents
Hence, the standard deviation have to be 39.21 cents in order for a 22% probability that a gallon of gas costs less than 1.80.
for such more question on probability
https://brainly.com/question/24756209
#SPJ11
find the slope and y-intercept of the line through the point (7,6) that cuts off the least area from the first quadrant.
The slope of the line is -294/25 and the y-intercept is -294/25.
To find the equation of the line through (7,6) that cuts off the least area from the first quadrant, we need to minimize the product of the x and y intercepts.
Let the x-intercept be a and the y-intercept be b. Then the equation of the line is:
y = (-b/a)x + b
The product of the intercepts is ab = b(-6/b) = -6.
To minimize this product, we need to find the values of a and b that satisfy the constraint that the line passes through (7,6).
Substituting y = 6 and x = 7 in the equation of the line, we get:
6 = (-b/a)7 + b
Solving for b, we get:
b = 42/(a+7)
Substituting this value of b in the equation ab = -6, we get:
a(42/(a+7)) = -6
Simplifying, we get:
42a = -6(a+7)
48a = -42
a = -7/8
Substituting this value of a in the equation b = 42/(a+7), we get:
b = 294/25
Therefore, the equation of the line is:
y = (-294/25)x - 294/25
The slope of the line is -294/25 and the y-intercept is -294/25.
learn about slope,
https://brainly.com/question/29044610
#SPJ11
Find the equation in standard form of the line passing through the points (2, -3) and (4, 2)
The equation in standard form of the line passing through the points (2, -3) and (4, 2) is 5x - 2y = 16.
To find the equation of a line in standard form, we need to determine the slope of the line and one point on the line. Given the points (2, -3) and (4, 2), we can calculate the slope using the formula:
slope (m) = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
Using the coordinates (2, -3) and (4, 2), the slope is calculated as follows:
m = \(\frac{2-(-3)}{4-2}\) = 5/2
Now that we have the slope, we can choose one of the points, let's say (2, -3), and use the point-slope form to find the equation of the line:
y - y1 = m(x - x1)
Plugging in the values, we have:
y - (-3) = \(\frac{5}{2} (x-2)\)
y + 3 = \(\frac{5}{2} (x-2)\)
Expanding and rearranging the equation, we get:
2y + 6 = 5x - 10
5x - 2y = 16
Therefore, the equation in standard form of the line passing through the points (2, -3) and (4, 2) is 5x - 2y = 16.
Learn more about points here:
brainly.com/question/29060750
#SPJ11
4. question 4 as in the previous question, an airline wants to do a customer survey in order to improve its service. for one month, it sends an email to a random sample of customers which flew with the airline on the previous day (no customer will be contacted more than once). again, the email states that the airline would like the customer to fill out a 10 minute survey in order to help the airline improve its service, but this time it states in addition that every respondent will receive a gift card worth $100. what can we say about this sampling plan?
We can say that the sampling plan leads to non-response bias; because the customers who did not participate in the survey would have provided significantly different answers.
What is non-response bias?Non-response is a description of non-observation appear in most surveys, that means failure to provide a measurement on one or more research variables for one or more elements chosen for the survey.
Non-response bias happens when participants in the survey are unable or unwilling to respond to a survey question or even the whole survey. Reasons for non-response may vary from person to person. To be considered a disposition of bias, a source of error has to be systematic in nature. Non-response bias is not an anomaly to this rule.
Learn more about non-response bias at: https://brainly.com/question/28047176
#SPJ4
What are the like terms in the expression 3x + 4 -2x + 5y + 4z + 5x
Solve the following LP graphically: maxz=x
1
+x
2
s.t. 4x
1
+x
2
≤100 x
1
+x
2
≤80 x
1
≤40 x
1
,x
2
≥0
This region is bounded by the lines and the non-negativity constraints (x₁ ≥ 0, x₂ ≥ 0).
Let's start by graphing the constraint inequalities:
4x₁ + x₂ ≤ 100
x₁ + x₂ ≤ 80
x₁ ≤ 40
x₁ ≥ 0, x₂ ≥ 0
First, plot the lines corresponding to the equations:
4x₁ + x₂ = 100 (let's call it line A)
x₁ + x₂ = 80 (line B)
x₁ = 40 (line C)
Now, let's shade the feasible region determined by the constraints. This region is bounded by the lines and the non-negativity constraints (x₁ ≥ 0, x₂ ≥ 0).
The feasible region will be the area of the graph that satisfies all the constraints and lies within the boundaries.
Once we have the feasible region, we can identify the optimal solution point by evaluating the objective function at each corner point of the feasible region.
Finally, we select the corner point that gives the maximum value of the objective function.
Learn more about the feasible regions here:
https://brainly.com/question/29893083
#SPJ11
there are six members on a student council. two of these members will serve on a spring formal committee. how many possible spring formal committees are there?
There are 30 different combinations of two members who can be selected to serve on the spring formal committee.
Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.
To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.
In this case, n = 6 and k = 2,
so we have
=> 6P2 = 6!/(6-2)!
=> 6!/(4!) = 6 x 5/1 = 30.
So, there are 30 possible spring formal committees that can be formed from the six members of the student council.
To know more about permutation here.
https://brainly.com/question/1216161
#SPJ4
What is the side length of a square with an area of 35 square units?
ARea = s*s
S² = 35
S = √35
S = 5.9160797831
Answer:
Step-by-step explanation:
Area of a square = 35 sq.units
side² = 35
side = √35
Side = 5.92 units
A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation:
Find the value of x
Pls help
Answer:
9
Step-by-step explanation:
Angles should be equal
Relational databases are heavily based on the mathematical concept of: A) Set Theory. B) Bet Theory. C) Get Theory. D) Met Theory.
Relational databases are heavily based on the mathematical concept of: Set Theory. The correct option is (A).
Relational databases are based on the principles of set theory, which deals with sets of elements and their relationships with each other. In a relational database, data is organized into tables, with each table representing a set of related data.
The tables are then related to each other through the use of keys, which allow for the establishment of relationships between different sets of data. The principles of set theory also govern the use of operations such as union, intersection, and difference, which can be used to manipulate the data in the tables.
Therefore, the mathematical concept of set theory is a fundamental part of the design and use of relational databases.
To know more about "Relational databases" refer here:
https://brainly.com/question/13262352#
#SPJ11
The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?
Answer:
6.25 km
Step-by-step explanation:
Let the number of km represented by 5 cm be x
Hence,
4 : 5 : : 5 : x
4x=25
x=6.25 km
Please Help! 60 points for a rapid reply- please look at the question below= The Figure of circle A shown has a diameter of PR which intersects with QS at point B and the measurements shown, Calculate the following measures-
The measures in the circle given in the image above are calculated as:
1. m<PSQ = 130°; 2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.
How to Find the Measures in the Circle?In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.
1. m<PSQ = m<PAQ
Substitute:
m<PSQ = 130°
2. Find m<PBQ:
m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]
Substitute:
m<PBQ = 1/2(130 + 2(35))
m<PBQ = 100°
m<AQS = 180 - [m<BAQ + m<PBQ]
Substitute:
m<AQS = 180 - [(180 - 130) + 100]
m<AQS = 30°
3. m(QR) = m<QAR
Substitute:
m(QR) = 100°
4. m(PS) = 180 - m(RS)
Substitute:
m(PS) = 180 - 2(35)
m(PS) = 110°
5. m(RS) = 2(35)
m(RS) = 70°
Learn more about Measures in a Circle on:
https://brainly.com/question/27111486
#SPJ1
Carly withdraws $18 from her bank account. Which number line represents this amount?
-20 -15 -10 -5 0 5 10 15 20,
10 15 20 -20 -15 -10 -5 0 5
10 15 20 -20 -15 -10 -5 0 5,
-20 -15 -10 -5 05 10 15 20.
2x+y=3;x-y=0 graphical method
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
A graphing calculator works nicely for solving equations graphically.
__
If you want to plot these by hand, it is convenient to write them in slope-intercept form:
y = -2x +3 . . . . . subtract 2x from both sides of the first equation
y = x . . . . . . . . . add y to both sides of the second equation
These tell you the first line goes through (0, 3) with a slope of -2. The second line goes through the origin with a slope of +1.
The solution is ...
(x, y) = (1, 1)
_____
Additional comment
Slope-intercept form is not the only convenient form for graphing the equation of a line. The first equation, for example, is given in standard form, which makes it easy to see the x-intercept is 3/2, and the y-intercept is 3. Sometimes plotting points with a fractional coordinate can be problematical, so we choose to put that equation into a different form.
The second equation quite clearly tells us y=x, so we know that line goes through points that have the same x- and y-coordinates.
In a class of 19 students, 6 are female and 10 have an A in the class. There are 7
students who are male and do not have an A in the class. What is the probability that
a student who has an A is a male?
The probability that a student who has an A is a male is 60%.
To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.
Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.
Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:
Probability = Number of male students with an A / Total number of students with an A
Probability = 6 / 10
Probability = 0.6 or 60%
For more such questions on probability
https://brainly.com/question/30390037
#SPJ8
3/8 + 1/8 - 1/3 + 1/4 =
Answer:
0.41666666, to round up, the answer is 0.42
Step-by-step explanation:
\( \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} \)