Answers
Answer:
B:
Step-by-step explanation:
Measure of ARC AFB is 180°
Why?
This is because AB is a diameter.
Related Questions
f(1)=0
f(n)=f(n−1)+2
Answers
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
The number of children's books at a library was 2/5 of the total number of books. After 298 children's books were added to the library, the number of children's books was 4/7 of the total number of books. How many books were there in the library at first?
Answers
Answer:
745
Step-by-step explanation:
You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.
RatioWe often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...
(2x +298)/(5x +298) = 4//7
SolutionCross multiplying gives ...
7(2x +298) = 4(5x +298)
3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))
149 = x
745 = 5x . . . . . . the original number of books in the library
There were 745 books in the library at first.
__
Additional comment
If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...
2/5x +298 = 4/7(x +298)
<95141404393>
Can someone please assist me with this problem
Answers
The category in the pie chart that was chosen by 1/8 of those that were surveyed is documentary.
How to illustrate the pie chart?From the pie chart, it can be seen that comedy and drama have the highest fraction as they have 1/4 each.
Therefore, the percentage of those who choose comedy or drama will be:
= (1/4 + 1/4) × 100
= 2/4 × 100
= 50%
Lastly, if 24% chose news, the others that choose others will be:
= 1/3 × 24
= 8%
Learn more about pie charts on:
brainly.com/question/26851221
#SPJ1
6. Which of the following is TRUE?
A.
B.
C.
D.
g(x)= = x
2 and f(x) = -2xare inverse functions because f(g(x)) = -xand
g(f(x)) = -x.
g(x) = −2x+2and
g(f(x)) = x.
g(x)=2x-10and
g(f(x)) = x.
F(x) = - =—= x + 1
-x+1 are inverse functions because ƒ(g(x))=x and
2
f(x)= = x+10
2
are inverse functions because f(g(x)) = x and
g(x)=2x−10 and f(x)=x+10
g(f(x)) = -x.
are inverse functions because f(g(x)) = -x and
Answers
To verify if two functions are inverse functions, their composites must have a value of x.
What is the composite function of f(x) and g(x) and how does it relates to inverse functions?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
If two functions f(x) and g(x) are inverses, then we have that:
f(g(x)) = x.g(f(x)) = x.Missing InformationThe problem is incomplete, hence the procedure to verify if two functions are inverse is presented.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Is 4y+9+3 and 3y+9+4y equivalent
Answers
2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Answers
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
For more such questions on Environment:
https://brainly.com/question/23611149
#SPJ8
Is this the right answer
Answers
Answer:
yes that would be correct
Step-by-step explanation:
4 + 4 is 8
Suppose you want to study the relationship between smoking and cancer. You assume that smoking is a cause of cancer. Studies have shown that there are many factors affecting this relationship, such as the number of cigarettes or the amount of tobacco smoked every day; the duration of smoking; the age of the smoker; dietary habits; and the amount of exercise undertaken by the individual. All of these factors may affect the extent to which smoking might cause cancer. These variables may either increase or decrease the magnitude of the relationship. Which statement is false?
a. In the above example cancer is the dependent variable.
b. In the above example cancer is an independent variable.
c. In the above example the extent of smoking is an independent variable.
d. In the above example all the variables that might affect the relationship between smoking and cancer, either positively or negatively, are extraneous or mediating/moderating variables.
Answers
Answer:
The correct answer is:
In the above example cancer is an independent variable. (b)
Step-by-step explanation:
In order to explain the choice made, let m first explain what independent and dependent variables are:
Independent variable: An independent variable is a variable that is under the direct control of the experimenter, and can be changed at will. In this example, the number of cigarettes or amount of tobacco smoked is the independent variable because it can be manipulated at will, to determine the outcome of the dependent variable.
Dependent variable: A dependent variable is a variable that the experimenter sets out to study. The independent variable is not under the direct manipulation of the experimenter but has values that come about as a result of the change of the independent variable. In this example, cancer is the dependent variable, because it is the result of the manipulation of the amount of tobacco.
Therefore, it is not true to say that cancer is the independent variable as seen in option b
What is the quotient?
3
4
Answers
Answer:
0.75
Step-by-step explanation:
it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:
3 ÷ 4 = 0.75
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
Answers
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
For such more questions on velocity
https://brainly.com/question/25749514
#SPJ8
13 A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the
time 1, in seconds, after it has been thrown by the function
h = -21? + 21 + 40. What is the maximum height reached by
each stone?
Answers
The maximum height reached by each stone is 40.5 meters.
The height of each stone above the ocean is given by the function:
h = -2t² + 2t + 40
This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.
The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.
The t-coordinate of the vertex is given as:
t = -b / 2a
Substitute the values of a and b,
t = -2 / (2×(-2)) = 0.5
So the maximum height is reached 0.5 seconds after the stone is thrown.
To find the maximum height, substitute the value of t into the function:
h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters
Therefore, the maximum height reached by each stone is 40.5 meters.
Learn more about the maximum height here:
https://brainly.com/question/15025354
#SPJ1
What is the rate of change (Slope) of the cost with respect to the number of miles for the Yellow Cab Company?
Answers
Answer:
The slope would be 2
Step-by-step explanation:
All you do is pick two order pairs: (2,6) and (4,10), then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.
Round 38.7165 to the nearest thousandth
Answers
Answer:
38.717
Step-by-step explanation
solve for n in the equation 16(3-n) × 2(1+n)=½
Answers
Answer:
2−12n=3n+16 2 - 1 2 n = 3 n + 16. Combine n n and 12 1 2 . 2−n2=3n+16 2 - n 2 = 3 n + 16. Move all terms containing n n to the left side of the equation.
Step-by-step explanation:
hope this help
Finding the area and perimeter
Answers
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
parallel lines are two lines that never meet. find an example that contradicts this definition. How would you change the definition to make it more accurate?
Answers
A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."
Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.
Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.
We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."
This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.
A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.
For more such questions on Parallel lines visit:
https://brainly.com/question/30097515
#SPJ8
There are 2 boys for every 3 girls in Sappy Sunshine Childcare center. If there are a total of 171 girls at the center, how many boys are there? (do not include units in your answer, just the number)
Answers
Answer:
114 boys
Step-by-step explanation:
This question can be solved using a rule of three.
For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?
2 boys - 3 girls
x boys - 171 girls
\(3x = 2*171\)
Simplifying both sides by 3
\(x = 2*57 = 114\)
There are 114 boys there
Mai's class volunteered to clean a park with an area of square mile. Before they took a lunch break, the class had cleaned of the park. How many square miles had they cleaned before lunch?
Answers
The class had cleaned x × A square miles before lunch.
Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).
If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:
Area cleaned before lunch = x × A
Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.
Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).
If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:
Before lunch, the area was cleaned = x A
We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.
For similar questions on square miles
https://brainly.com/question/14060247
#SPJ8
Erica makes necklaces from beads. Each necklace consists of blue, white and green beads in the ratio of 6 : 4: 1 One necklace needs to have 44 beads. How many of each type of bead is needed to make the necklace?
Answers
Answer:
For one Necklace you would need...
24 blue beads.
16 white beads.
4 green beads.
Ratio: 24: 16: 4
Step-by-step explanation:
If you quadruple the amount of beads from the original amount (6 : 4: 1), the total beads for that necklace will be 44.
Step 1: 6 x 4 = 24 (amount of blue beads in necklace).
Step 2: 4 x 4 = 16 (amount of white beads in necklace).
Step 3: 1 x 4 = 4 (amount of green beads in necklace).
Now check to see if the total of all types of beads sum up to 44:
Step 4: 24 + 16 + 4 = 44
______________-
There is your answer:
You need 24 blue beads, 16 white beads, and 4 green beads to have a total sum of 44 beads in that one necklace.
Solve the system of equations.
2x − 5y = 3
x − 3y = 1
Answers
The answers are:
x = 4y = 1Step-by-step explanation:=> 2x − 5y = 3x − 3y = 1
=> 2x - 5y = 32x - 6y = 2
=> 2x - 5y = 3-2x + 6y = -2
=> y = 1=> 2x - 5(1) = 3=> 2x - 5 = 3=> 2x = 8=> x = 4Hence, the answers are:
x = 4y = 1\(BrainiacUser1357\)
Ed's goal is to jog no more than 8 miles this week. He jogged 4 3/4 miles on Monday and 3 3/8 miles on Wednesday.
Answers
Answer:
8.125
Step-by-step explanation:
He jogged over 8 miles so he needs to stop jogging he already completed his goal.
Solve the following/3x=7-3/x
Answers
Value of x is 8.46 for equation 3x=7-3/x
What is Equation?Two or more expressions with an Equal sign is called as Equation
The given equation is 3x=7-3/x
3x+3/x=7
3x²+3=7x
3x²-7x+3=0
Use quadratic equation formula
a=3, b=-7, c=3
x=-b±√b²-4ac/2a
x=7±√49-4(3)(3)/2(3)
x=7±√49-36/6
x=7±√13/6
x=7±√2.16
x=7+1.46
x=8.46
Hence value of x is 8.46 for equation 3x=7-3/x
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Mercury and venus are the sun than earth is.
Answers
closer to, shorter, longer. (T=A^1.5
just took the assigniment.
Answer:
So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.
Step-by-step explanation:
Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.
Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle
Answers
I hope it helps.
The lines shown below are perpendicular. If the green line has a slope of
-1, what is the slope of the red line?
-5
5
X
O A1/
A.
114
OB. 4
O C. -1
OD. -4
Answers
Answer:
Step-by-step explanation: its c
Find the first five terms of the following sequence, starting with n=1.
Answers
Answer:
-2,1,6,13,22
Step-by-step explanation:
cn = n^2 -3
Let n=1
c1 = 1^2 -3 = 1-3 = -2
Let n=2
c2 = 2^2 -3 = 4-3 = 1
Let n=3
c3 = 3^2 -3 = 9-3 = 6
Let n=4
c4 = 4^2 -3 = 16-3 = 13
Let n=5
c5 = 5^2 -3 = 25-3 = 22
Selena's dog completed an obstacle course that was 452 meters long. There were four parts to the course, all equal length. How long was each part of the course?
Answers
Answer:
113 meters long
Step-by-step explanation:
If each part is all equal in length, then each part is 1/4 the total length of the obstacle course. Therefore, each part of the course was 1/4(452)=113 meters long
Can anyone please help me
Answers
9514 1404 393
Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
how would I write an equation?
and what would my x and y represent?
Answers
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
https://brainly.com/question/2972832
#SPJ1
f
3
+ 22 = 17
- 22 - 22 +
43
f = -5
3
= 3(-5)
f =
Subtract 22 on both sides.
Multiply by 3 on both sides.
Answers
On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.
What is BODMAS?
BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.
\(f/3 +22 = 17\)
\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.
Then simplify. The \(+22 and -22= 0\) They "cancel" \(17-22 = -5\)
\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.
If we have to solve f, the next step we to take is to multiply on the both sides by 3.
To know more about BODMAS visit:
https://brainly.com/question/29795897
#SPJ1