Answer:
Step-by-step explanation:
xy is the coefficient of 6m, mxy is the coefficient of 6 and so on……. Note: In the term 'm', the coefficient of m is 1 since 1 times m is equal to m. Similarly, in the term '-m' the coefficient of m is -1 since -1 times m is equal to -m.
solve equation 8+6x-10x=16-8x
Answer:
8 + 6x - 10x = 16 - 8x
This is
8 = 4x
So, x = 2 :)
Answer:
[tex]\boxed {x = 2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]8 + 6x - 10x = 16 - 8x[/tex]
-Combine like terms:
[tex]8 + 6x - 10x = 16 - 8x[/tex]
[tex]8 + -4x = 16 - 8x[/tex]
-Take [tex]8x[/tex] and add it to [tex]-4x[/tex]:
[tex]8 + -4x + 8x = 16 - 8x + 8x[/tex]
[tex]8 + 4x = 16[/tex]
-Subtract [tex]8[/tex]to both sides:
[tex]8 - 8 + 4x = 16 - 8[/tex]
[tex]4x = 8[/tex]
-Divide both sides by:
[tex]\frac{4x}{4} = \frac{8}{4}[/tex]
[tex]\boxed {x = 2}[/tex]
So, the value of [tex]x[/tex] is [tex]2[/tex].
Solve for x 2x < 2/3 (4x +4)
Answer:
x>−4
Step-by-step explanation:
i hope this helps you
Do not include anything other than numbers in your responses. For example, do not include comma or dollar sign in your numbers. As a rule of thumb, keep 2 decimal places for larger numbers and 3 decimal places for smaller numbers less than 1. A supermarket bakery must decide how many birthday cakes to prepare for the upcoming weekend. Cakes cost $59 each to make, and they sell for $85 each. Unsold cakes are sold at $29.5 on Monday, and typically all the remaining cakes are sold at that price on Monday. Demand is normally distributed the mand standard deviation of 24.6. Determine the followings: Cost of Shortage (Cs): Cost of Excess (Ce): What is the optimal service level? What is the corresponding z value? What is the optimal number of birthday cakes to make for the weekend?
To calculate the cost of shortage (Cs), we need to find the area under the normal distribution curve to the left of the optimal service level. The cost of shortage is the difference between the selling price and the Monday price, multiplied by the probability of shortage.
To calculate the cost of excess (Ce), we find the area under the normal distribution curve to the right of the optimal service level. The cost of excess is the difference between the cost of making the cake and the selling price, multiplied by the probability of excess. The optimal service level is determined by minimizing the total cost, which is the sum of the cost of shortage and the cost of excess. We can find the corresponding z value for the optimal service level using the standard normal distribution table. Once we have the optimal service level (z value), we can find the corresponding demand value. Since demand is normally distributed, we can calculate the optimal number of birthday cakes to make for the weekend by subtracting the expected demand from the optimal service level demand. However, without specific information on the desired service level or target level of shortage/excess, it is not possible to provide numerical answers to the questions. The optimal service level, corresponding z value, and the optimal number of cakes will depend on the specific parameters and objectives of the supermarket bakery.
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15-5y=20
what is the value of y?
Answer:
15-5y=20
15-20=5y
-5=5y
y=-1
Answer:
1
Step-by-step explanation:
[tex]swap \: - 5y \: and \: 15[/tex]
working step:
[tex]
15+−5y=20 \\
−5y+15=20 \\
−5y+15−15=20−15 \\
−5y=5 \\
−5y−5=5−5 \\
y=−1
[/tex]
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Simplify the expression . 7th grade pre algebra class ap
Answer:tbh, that's impossible
Step-by-step explanation:
Given h(x) = 5x + 1, find h(2)
Answer:
11
Step-by-step explanation:
answer is just is 11
if two complementary angles are equal, find their value
Step-by-step explanation:
let the two angles be x and x
since the sum of complementary angles is equal to 90 degree therefore according to question sum of x and x is equal to 90 degree
so the equation is
x + x =90
2x = 90
x= 90 /2
x= 45
Answer all that applies
Which financial term refers to a reduction in the price of a product in order to obtain a response from consumers?
A.
loan
В.
discount
C.
interest
D.
investment
Answer:
b
Step-by-step explanation:
1. Consider a simple Taylor rule with an inflation target of zero: i=F+t+t, where it is the nominal interest rate, 7> 0 is the natural real interest rate, T, is inflation, and it is the output gap. The aggregate demand and supply equations are given by t = -(rt-1- F) + pit-1 + ε and ₁=₁-1+0ỹt + e, where ep and are demand and supply shocks, respectively. The relationship between it and rt is given by the Fisher identity (assuming expected inflation is equal to current inflation): rt=it-t. All parameters (r, o, y, B, p, α) are > 0. Further, assume that the following parameters (o, B, p, y < 1). Suppose that there is one-time 10% supply shock at time t = 0 so that = 0.1. There is no further demand or supply shock after t = 0. Assume that prior to t=0, the economy was in steady state with i= r, π = 0, y = 0, and r = r. (a) Solve for inflation and the output gap at t = 0 and 1 (i.e., To, 71,90,91) as functions of model parameters (or compute the exact values if available). (b) Suppose that ≤1. Show that ₁ ≥ yo ≥ 0 and 7₁ ≥ To > 0. (c) Suppose that > 1. Show that it is possible to stabilize inflation after only one period (i.e., 1 0). At what value of 0 would this occur? (d) What can you say about the role of the value of or for inflation stabilization? But what is the cost of a higher ratio of on/oy?
a) The inflation rate at t = 1 is 0 and the output gap at t = 1 is 0.1.
b) So, 7₁ > 0 and To > 0 (As given, all parameters are > 0)
c) It is possible to stabilize inflation after only one period at B/p = (r - 7₁)/0.1
d) a higher ratio of on/oy is beneficial for inflation stabilization.
(a) Given,
Inflation target (π) = 0
Nominal interest rate (i) = F + t + t
Natural real interest rate (r) = 7 > 0
Output gap (y) = ỹt
Aggregate demand equation is t = -(rt-1- F) + πt-1 + ε
Aggregate supply equation is ỹt = ỹt-1+0t + e
Inflation rate (πt) = 0 for all t.
Nominal interest rate i = r + πt + ỹt
By Fisher identity, rt = it - πt
Now, for t = 0
Before the shock, i = r, π = 0 and y = 0
Given,
shock = 0.1
So, for t = 0,
output gap is given by
ỹt = ỹt-1+0t + e
= 0 + 0.1 + 0
= 0.1
Now, i = r + πt + ỹt
= r + 0 + 0.1
= r + 0.1
So, at t = 0, inflation rate π = 0 and output gap ỹ0 = 0.1
At t = 1
Inflation rate π1 = 0 (As given in the question)
Nominal interest rate i1 = r + π1 + ỹ1
So, we need to find ỹ1.
Now, putting the value of inflation rate and nominal interest rate in the Fisher identity, we get
rt-1 = i1 - π0
= r + ỹ1
Therefore, from the aggregate supply equation we ge
tỹ1 = ỹ0+0(ỹ1) +
e= 0.1 + e
Putting the value of ỹ1 in the nominal interest rate equation we get
i1 = r + π1 + ỹ1
= r + 0 + 0.1 + e
= r + 0.1 + e
(b) Given,o, B, p,
y < 1
Let ỹ0 = α
Then ỹ1 = 0.1 + e ≤ 1 (As given)
So, 0 ≤ ỹ1 ≤ 1
Now, from the aggregate supply equation we have,
ỹt = ỹt-1+0(ỹt) + e
As it is an increasing function of e and 0 < ỹ1 ≤ 1, we get ỹ2 < ỹ1 and 0 ≤ ỹ2 ≤ 1
So, 0 ≤ ỹt ≤ 1 for all t.
Hence, yo ≥ 0
Now, ỹ1 = α + 0.1 + e ≤ 1
So, α ≤ 0.9
So, 0 ≤ α ≤ 0.9
Now, let's calculate 7₁ and
π1.7₁ = rt-1
= i1 - π0
= r + ỹ1 - 0
= r + 0.1
So, 7₁ > 0 and To > 0 (As given, all parameters are > 0)
(c) Given, > 1
At time t = 0, the output gap is given by ỹ0 = α
Then, ỹ1 = 0.1 + e, and ỹ2 = 0.1 + 0 = 0.1
As ỹ2 is constant, it is clear that inflation will be stabilized after only one period.
To check this explicitly, let's calculate π1
Now, 7₁ = r + 0.1So, i1 = 7₁ + π1
By Fisher identity, i0 - π0 = rt-1
= r
Therefore, i0 = r + π0
So, the shock is given bye = ỹ1 - ỹ0-0(7₁)
= 0.1 - α
From the aggregate demand equation, we get
t = -(rt-1- F) + πt-1 + ε
= -(r - F) + 0 + ε
= -r + F + ε
Now, we can calculate inflation at t = 1 as
π1 = π0 + (1-B)(α - ỹ0) + B(π0 + o + y ỹ1) - p(7₁ - r)
π1 = 0 + (1-B)(α - α) + B(0 + o + y 0.1) - p(7₁ - r)
π1 = 0.1B - p(7₁ - r)
We want π1 = 0
So, 0.1B - p(7₁ - r) = 0
Thus, B/p = (r - 7₁)/0.1
Let B/p = ζ, then ζ = (r - 7₁)/0.1
Thus, it is possible to stabilize inflation after only one period at B/p = (r - 7₁)/0.1
(d) As we saw in part (c), a higher value of the ratio B/p results in the stabilization of inflation after only one period. Therefore, a higher ratio of on/oy is beneficial for inflation stabilization.
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Can u plz help me? :)
Answer:
(-2, 1)
Step-by-step explanation:
Find the side labeled x. State your answer rounded to 5 decimal places. x = Evaluate the expression without using a calculator. sin Pi/6 + cos Pi/6
The final answer rounded to 5 decimal places is:`x = 0.57735`
A) Given trigonometric expression is;`sin (π/6) + cos (π/6)`
Using the trigonometric values of π/6 from the trigonometric table, we have:
sin π/6 = 1/2cos π/6 = √3/2.Substituting the trigonometric values into the given expression, we have:
sin π/6 + cos π/6= 1/2 + √3/2= (1 + √3)/2
Therefore, the value of `sin (π/6) + cos (π/6)` is `(1 + √3)/2`.
B) Now, coming to the next part, we need to find the side labeled x.
The value of the tangent of an angle is equal to the ratio of the opposite side and the adjacent side. Thus, we can write:tan θ = Opposite side/Adjacent side
We have the values of the angle and the adjacent side, using that, we can find the opposite side as follows:`
tan 30° = Opposite side/1`Opposite side = `tan 30°`Opposite side = `(1/√3)`
Therefore, the side labeled x is `(1/√3)`.
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work for brainlee extra pointsalso
A large tree casts a shadow of 42 m. At the same time, a 4 m high fence, standing vertically, casts a shadow of 7 m. Find h, the height of
the tree.
Answer:
73.5m
Step-by-step explanation:
4m fence casted a 7m high shadow 7/4 = 1.75, 42 x 1.75 = 73.5
Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour. In both cases, she must also rent a helmet for $5 an hour. Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike?
Given :
Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.
In both cases, she must also rent a helmet for $5 an hour.
To Find :
Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.
Solution :
Let, after t hours total money required is ( if she rent bike ).
T = 30t.
Money required to purchase bike , M = $250.
For cost of buying a bike to be less than renting a bike :
[tex]30t>250\\\\t > \dfrac{25}{3}\ hours\\\\t>8\dfrac{1}{3}\ hours\\\\t>8\ hours \ 20 \ minutes[/tex]
Hence, this is the required solution.
Which of the following is the algebraic expression represented by the verbal expression below?
Triple the quantity of a increased by 6
A 3(a + 6)
B 6 (a +3)
С 3a + 6
D ба + 3
SOMEONE HELP ME WIT THIS TEST
Answer:
C. 3a + 6
Step-by-step explanation:
The expression that describes the verbal expression is 3a + 6.
Now let us approach this step wisely;
Triple quantity a = 3a
Increased by 6 = + 6 , an increment is addition to a term.
So, the full algebraic expression is 3a + 6
The solution is 3a + 6. Word problems like this should be approached step wisely.
Marquan has found the car he wants for $12000. In the city she is in the local tax rate is 7%. How much would he need to pay to purchase the car? Round to the nearest penny.
Answer:
nobody cares
Step-by-step explanation:
A government starts off with a total debt of $5.5 billion. In year one, the government runs a deficit of $600 million. In year two, the government runs a deficit of $1.5 billion. In year three, the government runs a surplus of $400 million. What is the total debt of the government at the end of year three?
Assuming the government runs a deficit of $200 million in year three, what is the total debt of the government at the end of year three?
If a government runs a budget deficit of $5 billion dollars each year for ten years, then a surplus of $2 billion for five years, and then a balanced budget for another ten years, what is the government debt?
The total debt of the government at the end of year three is $7.2 billion.
How does the government's deficit and surplus impact the total debt by the end of year three?Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.
Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.
How does assuming a deficit of $200 million in year three affect the government's total debt at the end year three?Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.
If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.
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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
a. right
b. scalene
c. obtuse
d. equilateral
Answer:
D
Step-by-step explanation:
Equilateral triangle
An equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
Option D is the correct answer.
We have,
In an equilateral triangle,
All sides are congruent, and all angles are congruent (each measuring 60 degrees).
The perpendicular bisector of any side of an equilateral triangle will also be an angle bisector, since it will pass through the vertex opposite to that side, dividing the angle into two congruent angles.
Thus,
An equilateral triangle will always have a perpendicular bisector that is also an angle bisector.
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sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. the relative cumulative frequency of students who earned a score of 21 or higher on the quiz is .
To determine the percentage of Sara's students who answered at least half of the quiz questions incorrectly, we need more information than the relative cumulative frequency of students who earned a score of 21 or higher.
The cumulative frequency only tells us the percentage of students who scored 21 or higher, but not the percentage who answered at least half of the questions incorrectly.To calculate the percentage of students who answered at least half of the quiz questions incorrectly, we would need additional data such as the scores or the number of questions on the quiz. Without that information, it is not possible to determine the exact percentage.If we had the scores or the number of questions, we could calculate the percentage by subtracting the cumulative frequency from 100%. However, with the given information alone, we cannot determine the percentage of students who answered at least half of the quiz questions incorrectly.For such more question on frequency
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Which function is graphed?
A f(x)=−2x
B f(x)=−x21
C f(x)=x21
D f(x)=2x
Answer:
A is the correct answer
calculator questions that you want me to answer pleeeeeez
Answer:
what
Step-by-step explanation:
The counting numbers are also known as the natural numbers OA. True B. B. False
TRUE A natural number is another name for the counting number.
A natural number is what?Natural numbers are those in mathematics that are utilized for counting and ordering.
Cardinal numbers are those used for counting, and ordinal numbers are those used for ordering.
What is number counting?The term "counting numbers" refers to all natural numbers. These are always positive whole numbers, such as 1, 2, 3, 4, 5, and 6.
Mathematical number systems depend heavily on the infinite counting numbers, which can be counted.
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PS Of the 22 fast-food businesses in a small city, the numbers that have a drive-up window, outside seating, or delivery Page 58 service are summarized as follows: 7 have delivery service: IS have outside seating: 13 have a driveup window, 9 have a drive- up window and outside seating; 3 have outside seating and delivery service: 3 have delivery service and a drive-up window; and 2 have all three services. How many of these businesses have only a drive-up window?
There are 4 fast-food businesses in this small city that have only a drive-up window.
To determine the number of fast-food businesses that have only a drive-up window, we need to subtract the businesses that have a drive-up window and other services from the total number of businesses with a drive-up window.
According to the given information:
Total number of fast-food businesses = 22
Number of businesses with delivery service (D) = 7
Number of businesses with outside seating (O) = 13
Number of businesses with a drive-up window (W) = 13
Number of businesses with both a drive-up window and outside seating (W ∩ O) = 9
Number of businesses with both outside seating and delivery service (O ∩ D) = 3
Number of businesses with both delivery service and a drive-up window (D ∩ W) = 3
Number of businesses with all three services (D ∩ O ∩ W) = 2
To find the number of businesses with only a drive-up window:
Number of businesses with only a drive-up window = Number of businesses with a drive-up window (W) - Number of businesses with both outside seating and a drive-up window (W ∩ O)
Number of businesses with only a drive-up window = 13 - 9 = 4
Therefore, there are 4 fast-food businesses in this small city that have only a drive-up window.
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What is the difference between -10 and five on a number line
Answer:
-5
Step-by-step explanation:
the answer, please give brainliest if u can
3. y=x²-5
Axis of symmetry
Vertex
y-intercept
maximum or minimum
x-intercept(s)
Domain
Range
The properties of the function are
Axis of symmetry: x = 0Vertex: (0, -5)y-intercept: -5minimumx-intercept(s) = x = ±2.236Domain: (-∞, ∞)Range: (-5, ∞)How to determine the properties of the functionFrom the question, we have the following parameters that can be used in our computation:
y = x² - 5
The vertex of the above function is
(0, -5)
The axis of symmetry is the x-coordinate of the vertex
So, we have
x = 0
The y-intercept is when x = 0
So, we have
y = -5
Because the leading coefficient is positive, the function has a minimum vertex
From the graph, we have the x-intercepts to be
x = ±2.236
The domain is the set of all real values, and the range is (-5, ∞)
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8 tomatoes for $2 as a unit rate
answer:
4 is correct!
explanation:
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
Answer:
16$?
Step-by-step explanation:
8*2 = 16
If not pls specify question
the square of the number equals nine times that number. what is the number?
Answer:
x^2 = 9x
x^2 - 9x = 0
x(x-9) = 0
x=0 or x=9
Step-by-step explanation:
The number is 9.
Translate the statement into an equation, then solve for the unknown number.
Let the unknown number be represented as x.
Thus:
square of the number can be translated as [tex]x^{2}[/tex]
[tex]9 \times $ the $ number = 9x[/tex]
Therefore:
[tex]x^{2} = 9x[/tex]
Solve for x
[tex]x^{2} - 9x = 0[/tex]
Factorize
[tex]x(x - 9) = 0\\x = 0 $ or \\x - 9 = 0\\x = 9[/tex]
The unknown number cannot be 0, therefore, the number is 9.
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Someone please help this is so confusing
Answer:
a is 10
Step-by-step explanation:
parallel lines have the same slope, but a different y intercept
you would substitute the ordered pair in for x and y
y=-2x+10
Hope this helps :-)
What is the equation of the line that passes through (-4, 5) and is parallel to the line 4x + 2y = 10?
A. y= 1/2x + 3
B. y= 1/2x +5
C. y= -2x + 10
D. y= -2x - 3
