Answer:
y=-2/1+4
or y=-2+4
Step-by-step explanation:
to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4
A product has a selling price of $10 per unit, variable expenses of $6 per unit and total fixed costs of $35,000. If 10,000 units are sold, net operating income will be $(1). (Enter your answer as a whole number.)
The net operating income will be $ 5000.
Net Operating Income:The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.
Here we have
A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.
In total 10,000 units are sold
The net operating income will be computed by Subtracting all expenditures from all money collected on the product.
Net operating income = ($10 - $6) × 10000 - $ 35000
= ($10 - $6) × 10000 - $ 35000
= $ 40000 - $ 35000
= $ 5000
Therefore,
The net operating income will be $ 5000.
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what is The quotient of a number and nine is lessthan the number. In algebraic expressions
Answer:
Step-by-step explanation:
The quotient is the result you get when dividing numbers.
Let the number be n then the expression is:
n / 9 < n.
Let f(x)=x^2-2x+6. The slope of the secant line through (1,5) and the point (b, F(b)) will eventually become within 0.001 of the slope of the tangent line to y=f(x) at x=1 when b gets close enough to 1
To find the slope of the secant line through (1,5) and (b, F(b)), we need to calculate the difference quotient:
slope_secant = (F(b) - 5) / (b - 1)
To find the slope of the tangent line at x=1, we can calculate the derivative of f(x) and evaluate it at x=1:
f'(x) = 2x - 2
slope_tangent = f'(1) = 2(1) - 2 = 0
To ensure that the slope of the secant line becomes within 0.001 of the slope of the tangent line when b gets close enough to 1, we set up an inequality:
|slope_secant - slope_tangent| < 0.001
|((F(b) - 5) / (b - 1)) - 0| < 0.001
Simplifying the inequality, we have:
|(F(b) - 5) / (b - 1)| < 0.001
As b approaches 1, F(b) approaches f(1) = 5. Therefore, we can rewrite the inequality as:
5 - 5| / |b - 1| < 0.001
0/|b - 1| < 0.001
Since the left side of the inequality is always 0, the inequality is always satisfied. Hence, as b gets close enough to 1, the slope of the secant line will eventually become within 0.001 of the slope of the tangent line at x=1.
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a student is taking a very difficult quiz is kind, the student has a 25% probability of completely knowing how to do the question, 15% of somewhat knowing, and 60% probability of completely not knowing. on the questions that they know completely, they will get the right answer 99% of the time; on the questions that they somewhat know, they get the right answer 50% of the time; on the questions they completely do not know how to do, they will get the right answer 25% of the time. we observed the student getting the question correct. what is the probability (given this observation) that the student completely know how to do the question?
The probability that the student completely knows how to do the question, given the observation that they got it correct, is approximately 0.7333 (or 73.33%).
To find the probability that the student completely knows how to do the question given the observation that they got it correct, we can use Bayes' theorem.
Let's define the events:
A: Student completely knows how to do the question
B: Student gets the question correct
We want to find P(A|B), the probability that the student completely knows how to do the question given that they got it correct.
According to Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) = Probability of getting the question correct given that the student completely knows how to do it = 0.99
P(A) = Probability that the student completely knows how to do the question = 0.25
P(B) = Probability of getting the question correct (regardless of knowing or not knowing) = P(B|A) * P(A) + P(B|not A) * P(not A)
P(B|not A) = Probability of getting the question correct given that the student does not know how to do it = 0.25
P(not A) = Probability that the student does not know how to do the question = 0.60
Plugging in the values, we can calculate:
P(B) = 0.99 * 0.25 + 0.50 * 0.15 + 0.25 * 0.60 = 0.3375
Finally, calculating P(A|B) using Bayes' theorem:
P(A|B) = (0.99 * 0.25) / 0.3375 ≈ 0.7333
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Create ABC by drawing AC. AC represents the foreman’s line of sight to the top of the landfill. What is m
Where the above is given, the required angle m∠BAC = 45°.
In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC
What is triangle?The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°
According to conditions angle b = 90°
The sum of angles of a triangle= 180°
That is a + b + c = 180
Therefore, c = a
a = (180 - b)/2
= (180 - 90) / 2
= 90 / 2
= 45°
Hence, the required angle m∠BAC = 45°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?
which statement is true regarding the graphed functions?
f(4) = g(4)
f(4) = g(-2)
f(2) = g(-2)
f(-2) = g(-2)
Answer:
probably b
Step-by-step explanation:
Answer:
Its D, i got it right on edge
Step-by-step explanation:
yw
Given: AB=ED, AB parallel DE, C is the midpoint of AE. Prove: triangle ABC = triangle EDC
By the side-angle-side (SAS) congruence criterion, we can conclude that triangle ABC is congruent to triangle EDC.
To prove that triangle ABC is congruent to triangle EDC, we need to show that their corresponding sides and angles are congruent.
Given that AB = ED and AB is parallel to DE, we have angle ABC = angle EDC (corresponding angles).
Also, we have AC = CE (C is the midpoint of AE).
Now, consider the triangles ABC and EDC. We have:
Side AB = side ED (given)
Side AC = side CE (proved above)
Angle ABC = angle EDC (proved above)
Therefore, by the side-angle-side (SAS) congruence criterion, we can conclude that triangle ABC is congruent to triangle EDC.
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This is a linear algebra question.Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the structure of an inner product space by setting (f,g) := scoglodt f(t)g(t)dt. Produce an orthonormal basi
The orthonormal basis for V is: {v1 = 1/√(2), v2 = (t - √(2)/2)/√(2), v3 = (√(3)/2)t^2 - (√(6)/2)t}. To produce an orthonormal basis for V, we need to find a set of vectors that are linearly independent and can span the space V. Since we are working with polynomials of degree less than 2, we can write them in the form:
p(t) = at^2 + bt + c
where a, b, and c are real coefficients.
To find the basis, we can start with the standard basis for V, which is {1, t, t^2}. We can then use the Gram-Schmidt process to produce an orthonormal basis.
Here are the steps:
1. Normalize the first vector in the basis, which is 1, to obtain:
v1 = 1/√(2)
2. Calculate the projection of t onto v1 and subtract it from t to obtain the second vector in the basis:
v2 = (t - (t, v1)v1)/∥(t - (t, v1)v1)∥
where (t, v1) is the inner product of t and v1.
Simplifying, we get:
v2 = (t - √(2)/2)/√(2)
3. Finally, calculate the projection of t^2 onto v1 and v2, and subtract these projections from t^2 to obtain the third vector in the basis:
v3 = (t^2 - (t^2, v1)v1 - (t^2, v2)v2)/∥(t^2 - (t^2, v1)v1 - (t^2, v2)v2)∥
where (t^2, v1) and (t^2, v2) are the inner products of t^2 with v1 and v2, respectively.
Simplifying, we get:
v3 = (√(3)/2)t^2 - (√(6)/2)t
Therefore, the orthonormal basis for V is:
{v1 = 1/√(2), v2 = (t - √(2)/2)/√(2), v3 = (√(3)/2)t^2 - (√(6)/2)t}
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If y varies inversely with x we write the equation:
Answer:
Step-by-step explanation:
y = k/x
I need help thanks. :)))))
Answer:
4/3
Step-by-step explanation:
The slope of the line is \(\frac{-7-8}{-5-4}=\frac{5}{3}\).
So, the equation is \(y+7=\frac{5}{3}(x+5)\).
Substituting x=0 to find the y-intercept, we get y=4/3.
how much sit-ups can you do in 1 minutes?
solve the equation 5g + 3 =7 + 3g
Answer:
g=2 i hope this helps
It always helps if you rate,like and mark brainliest :D
have a good day.
If there are 25 students in a math class in which 16 of them are male . If there are 1500 students in the school how many of them are male and how many other or females
3. Are these the hills teen 1 was trying to design? Remember, teen 1 wanted one layer
of three hills, another set of three hills using the same base equation, and one long,
low hill. Find any mistakes that teen 1 made in his design and in the reasoning he
presented when explaining the transformations of the equations. (3 points)
Function transformation involves changing the form of a function
The first mistake in teen 1's design is the x-interceptsThe second mistake in teen 1's design is the transformed functionThe function that represents the three hills is given as:
\(f(x) = (x - 1)(x -3)(x -4)\)
The above function represents the base equation.
When the function is then transformed, we have:
\(g(x) =- (x - 1)(x -3)(x -4) + 3\)
The first mistake in teen 1's design is that, the function f(x) has 3 x-intercepts
For the function to have three peaks, then the function must have three different vertices
A function with three x intercepts will have three zeros.
However, these three zeros does not mean the function has three peaks i.e. three vertices
Also, the transformed function g(x) is simply a reflection of f(x) across the x-axis, and a vertical shift up by 3 units.
This also does not mean that the function has three peaks
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A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Answer: ab =6
have:
\(\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1\)
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
the three perpendicular bisectors of a triangle intersect in one point called the
How many ways are there to pick two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen
There are 48 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.
Explanation: We are given that a standard deck of 52 cards. (a) The first card is an Ace and (b) the second card is not a Queen. In a standard deck of 52 cards, there are four aces. If the first card drawn is an ace, then there are 51 cards left in the deck and 12 cards that are queens. Hence, there are 51 − 12 = 39 cards that are not queens. So, we can say that, There are 4 aces × 39 cards that are not queens = 156 ways to choose two different cards from a standard 52-card deck such that the first card is an Ace and the second card is not a Queen.
However, we have to remove the case where both cards are aces and the second card is a queen. So, we subtract 1 from the previous answer to get, 156 − 1 = 155 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.
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The top and bottom margins of a poster are 4 cm and the side margins are each 2 cm. if the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area.
Widht = ____ (include units)
Height = _____ (include units)
The dimensions of the poster with the smallest area are as follows: The width is 20 cm, and the height is 16 cm.
To determine these dimensions, we need to consider the area of the printed material on the poster, which is fixed at 388 square centimeters. Let's assume the width of the printed material is x cm.
Since the side margins are each 2 cm, the total width of the poster (including the margins) becomes x + 2 cm + 2 cm = x + 4 cm.
Similarly, the total height of the poster is x + 4 cm as well because the top and bottom margins are both 4 cm.
To calculate the area of the entire poster, we multiply the width by the height: (x + 4 cm) * (x + 4 cm) = (x + 4)^2 cm^2.
According to the problem, the area of the printed material is 388 square centimeters. Therefore, we have the equation (x + 4)^2 cm^2 = 388 cm^2.
Solving this equation, we find x + 4 = 19 cm, which means x = 15 cm.
Hence, the dimensions of the poster, width is 15 cm + 4 cm = 19 cm, and the height is also 15 cm + 4 cm = 19 cm.
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the perimeter of a square is 40 ft. if it were cut into even halves, what would the area of each half be?
For what value of n is |n− 1| + 1 equal to 0 ?
Answer:
|n - 1| + 1 = 0
|n - 1| = -1
no solution
Please show working out and explain your answer.
The value of angle ACB in terms of X is given as 90 - 2x degrees
How to find the value of angle ACBWe have BC to be a tangent to the circle that we have here
∠OBC = 90 degrees
We have the angle that is at to be a circle
AO = OB
then ∠OAB = ∠ABO = X degrees
∠BOC = ∠DAB + ∠ABO = 2x degrees
∠ACB = 90 - 2x degrees
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You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for
every 10 cups of oil.
Theatre B uses 1/8 cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For Theatre C, the ratio of oil to popcorn kernels can be described by the equation _____.
O = 4 × P
O = 1/4 × P
O = 3/16 × P
i also want to understand lets see who answers it
Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.
The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.
The probability of two independent events occurring, we multiply their individual probabilities.
Let's start by determining the probability of the coin showing tails.
Since it is a fair coin, there are two equally likely outcomes: heads or tails.
The probability of the coin showing tails is 1/2.
Next, we consider the number cube.
It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.
Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).
The probability of rolling a three, four, or six is 3/6 or 1/2.
Now, we can find the probability of both events occurring by multiplying the probabilities together:
P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)
= 1/2 × 1/2
= 1/4
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This image is made of a rectangle and a triangle. Find its area in square meters.
Answer:
sorry i did my math wrong its...I think its 84 meters
6x4y how do I solve this?.
Answer:
24y
Step-by-step explanation:
Multiple 6x4 to get 24
and then put the y in to
get your answer
solution÷
6×4y
6×4y=0
multiply 6×4y
24y=0
now send 24 to the right side and divide
y=0÷24
therefore,y=0
Find the 96th term of the arithmetic sequence
-3, -14, -25, ...
Answer:
-1059
Step-by-step explanation:
Katelyn, this is super easy to understand.
Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.
(-14) - (-3) = -14 + 3 = -11.
That means the difference between each number is -11.
Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.
Your school may have taught you a different way, but this is my way.
What is 100% written as a decimal?
Answer:
100 percent written as a decimal would just be 1
Step-by-step explanation:
For example, 50% is 0.50 in decimal form that would make 100% well, 1.0
Hope this helps and have a great day!
You got this :)
What would you multiply the dividend and divisor by in the following division problem so that the divisor would become a whole number?
23.4÷ 11.75
Answer:The answer is C.
Step-by-step explanation:
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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the origin of playing cards is debatable but what is definitely known is different countries had different suits. what comprised the suits in spanish cards?
Spanish playing cards have four suits: coins, cups, swords, and clubs, with each suit representing a different aspect of life, and consisting of ten numbered cards and three court cards.
Spanish playing cards traditionally have four suits: coins, cups, swords, and clubs. These suits are similar to the suits found in Italian and Latin American playing cards, but different from the suits found in French and German playing cards. The coins suit represents wealth and commerce, the cups suit represents love and pleasure, the swords suit represents warfare and justice, and the clubs suit represents agriculture and prosperity. Each suit typically contains ten numbered cards and three court cards: the knight, the queen, and the king.
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