Answer:
Yes it does.
Step-by-step explanation:
:)
a) x² + 12x + 35
b) x²16x + 64
c) x²-x-12
d) x² + 3x - 54
Answer:
Step-by-step explanation:
x=5
Consider these situations. In each situation, is the demand for the good elastic or inelastic?
BLANK As the price of flat-screen televisions decreases, the quantity demanded increases significantly.
BLANK As the price of bread decreases, the quantity demanded changes only slightly.
BLANK As the price of a drug used to treat heart disease increases, the quantity demanded remains unchanged.
Answer:
1 elastic
2 inelastic
2 inelastic
Step-by-step explanation:
edge 2021, hope this helps
Here are the elasticities of demand in the following situations :
The demand for flat-screen is elastic.
The demand for bread is inelastic.
The demand for drug is perfectly inelastic.
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
Types of elasticity of demand are :
1. Elastic demand : If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.
If demand is elastic and price is decreased, quantity demanded would increase. The increase in quantity demanded would be greater than the decrease in demand and this would lead to an increase in revenue.
2. Inelastic demand : Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one.
3. Unit elastic demand : Demand is unit elastic if a small change in price has an equal and proportionate effect on quantity demanded.
4. Perfectly elastic demand : when demand is perfectly elastic, demand falls to zero when price increases
5.Perfectly inelastic demand : demand is perfectly inelastic when there is no change in the quantity demanded regardless of changes in price.
The demand for flat-screen is elastic. This is because when the price of the television was decreased, demand increased significantly
The demand for bread is inelastic. This is because the fall in quantity demanded was less than than the decrease in the price of bread
The demand for drug is perfectly inelastic. This is because there is no change in the quantity demanded when the price of the drugs was increased.
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Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:
To solve for the length of the curve of y = In(sec(x)), we use the formula,
`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.
We know that:`f′(x) = d/dx[In(sec(x))]`
Using the formula of logarithm differentiation, we can write the above equation as:
`f′(x) = d/dx[In(1/cos(x))]`
So,`f′(x) = -d/dx[In(cos(x))]`
Therefore,`f′(x) = -sin(x)/cos(x)`
Substituting the values, we get:
`L = ∫[a,b] √[1+(f′(x))^2] dx`
`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`
`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`
`L = ∫[0,π/4] sec(x) dx`
Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.
We calculate the constant by substituting the values of `a = 0` and `b = π/4`:
`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`
`L = ln(√2 + 1) - ln(1 + 0)`
`L = ln(√2 + 1)`
Thus, the exact length of the curve is `ln(√2 + 1)` units.
Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.
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HELP ME PLSSSSSSSS!!!!
Answer:
y= x + 8
Step-by-step explanation:
If you look carefully there is a common difference between y and x, y is $8 more expensive than the price x is selling for
Dina is shipping a wall map to a collector. When the map is rolled up, it measures
7 ft long. She will use a box that is a right rectangular prism with a base that is 3 ft
by 3 ft. Which whole number could be the shortest height of the box that will hold
the map?
A 4 ft
B 5 ft
C 6 ft
D 7 ft
The shortest height of the box that will hold the map is 6 ft option (C) is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Dina is shipping a wall map to a collector. When the map is rolled up, it measures.
From the figure we can apply the Pythagoras theorem to find the length BA:
BA² = 3² + 3²
BA = √18
Again applying Pythagoras theorem:
The height
AD² = 7² - (√18)²
AD² = 31
AD = √31 ft = 5.56 ft ≈ 6 ft
Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.
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Help me please I need to answer this
Answer:
it is $150 in three months
Answer:
$50 per month
Step-by-step explanation:
After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.
1. 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A. 3656 D. 2739 B. 1841 E.5418 C. 3556
Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).
The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.
To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:
The first number, 5, is the sum of the second and third numbers (2 + 1).
The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).
The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).
The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).
The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).
The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).
Based on this pattern, we can deduce that the missing values are 5 and A.
Now, let's calculate the missing value:
m + A = 5
To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).
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if f(x)=x^3 than f^-1(x)=
Answer:
1/f(x)
Step-by-step explanation:
In the country of Mordor, Y=A∗
∗∗
L
. In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
Approximately 114.29% of the growth came from higher productivity.
To determine the percent of growth that came from higher productivity, we need to compare the change in output (Y) with the change in inputs (K and L). Here's how we can calculate it:
In the first year:
Initial output (Y₁) = 18
Initial inputs (K₁, L₁) = (4, 9)
In the second year:
Final output (Y₂) = 26
Final inputs (K₂, L₂) = (4, 16)
Change in output = Y₂ - Y₁ = 26 - 18 = 8
Change in inputs = (K₂ + L₂) - (K₁ + L₁) = (4 + 16) - (4 + 9) = 7
Now, let's calculate the percent of growth that came from higher productivity:
Percent of growth from higher productivity = (Change in output / Change in inputs) * 100
= (8 / 7) * 100 ≈ 114.29
Therefore, approximately 114.29% of the growth came from higher productivity.
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In The Country Of Mordor, Y = AVK* VL . In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
Help plzzzzz
Fill in the table for the function
y=-2x + 10
Answer:
16, 10, 0
You plug in the x into the function
what is the area and perimeter of triangle XYZ?
Answer:
The perimeter is 81 feet.
Step-by-step explanation:
I found the perimeter by adding 30+12+39 i got the 39 from adding the 30 and 9 together from the bottom to make up the long top line.
Plz answer IM STRUGGLING!!
Standard form: (y = a x²+b x+c) Vertex form: (y = a(x-h)²+k) Refer to the two forms shown above.
b. Begin with standard form. Transform it to vertex form. What are the values of h and k in terms of a, b , and c ?
To transform the standard form equation (y = ax² + bx + c) to vertex form (y = a(x - h)² + k), the values of h and k can be expressed in terms of a, b, and c as follows:
h = -b / (2a)
k = c - (b² / 4a)
In standard form, the equation of a quadratic function is represented as y = ax² + bx + c, where a, b, and c are coefficients.
To convert this equation to vertex form, we need to complete the square. The vertex form of a quadratic equation is given by y = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.
To find the value of h, we use the formula h = -b / (2a). This formula is derived by completing the square. By dividing the coefficient of x (b) by 2a, we obtain the x-coordinate of the vertex.
To find the value of k, we use the formula k = c - (b² / 4a). This formula is derived by substituting the value of h into the vertex form equation and simplifying. The term c represents the y-intercept, and subtracting (b² / 4a) ensures that the vertex form equation matches the original quadratic equation.
To transform the standard form equation (y = ax² + bx + c) to vertex form (y = a(x - h)² + k), the values of h and k can be determined using the formulas h = -b / (2a) and k = c - (b² / 4a). These formulas allow us to express the vertex coordinates (h, k) in terms of the coefficients a, b, and c. By converting the equation from standard form to vertex form, we can easily identify the vertex of the quadratic function, which provides valuable information about its shape and position on the coordinate plane.
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At what input value will the function
f(x) = Vx – 5 + 2 begin to have real
outputs?
x = [?]
Answer:
x=5 since if anything smaller than 0 it would be an imaginary number and would not be a real output
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the function of f(x) = √(x – 5) + 2 will have real outputs , since √(x-5) ≥ 0
=> x - 5 ≥ 0
=> x ≥ 5
so, the input value begin from 5
(x, y) → (x + 2, y + 5) followed by
(x,y) → (x - 10, x + 1)
Suppose the program makes the letter N by connecting the
points (1,0), (1, 2), (3, 0), and (3, 2). What points does the
program connect to make the last N?
The points that the program connects to make the last N are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).
The coordinates of the points that form the original N are (1, 0), (1, 2), (3, 0), and (3, 2). We need to perform two transformations as given in the rules. The type of transformations consist of translation operations.
The first rule for the translation is (x, y) → (x + 2, y + 5). The translated points are (3, 5), (3, 7), (5, 5), and (5, 7).
The second rule for the translation is (x, y) → (x - 10, y + 1). The translated points are (-7, 6), (-7, 8), (-5, 6), and (-5, 8).
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Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y ? 4x)i -(4z ? 5y)j - (3y ? 2x)k D: The cube bounded by the planes x= plus or minus 1, y= plus or minus 1, and plus or minus 1 The outward flux is
The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.
The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.
Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.
Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.
In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.
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y=3x−7y, equals, 3, x, minus, 7
Complete the missing value in the solution to the equation.
(1,(1,left parenthesis, 1, comma
))
The value that completes the blank in the ordered pair is - 4
How to complete the missing value in the equation?From the question, we have the following equation
y = 3x - 7
Also, we have the following incomplete ordered pair
(1, )
Complete the blank with a variable y
So, we have the ordered pair to be (1, y)
The ordered pair (1, y) means x = 1
So, we subtsitute 1 for x in the equation y = 3x - 7
y = 3(1) - 7
This gives
y = 3 - 7
Evaluate
y = -4
Substitute y = -4 in the ordered pair (1, y)
So, we have
(1 -4)
Hence, the complete value is (1 -4)
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if the second angle is 20% more than the first angle and the third angle is 20% less than the first angle in a triangle, then find the three angles of the triangle
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
Directions: Solve for x, then find each angle measure
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
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Suppose that rising productivity increases potential output in each period by 4%. What kind of monetary policy would be needed to maintain a zero rate of inflation at full employment?.
When rising productivity increases potential output in each period by 4%, the kind of monetary policy that would be needed to maintain a zero rate of inflation at full employment is that it should increase money supply by 4% per period. (Option C)
Potential output is defined as the maximum amount or output the economy can produce on a constant basis. It is an important concept in both macroeconomics and monetary policy. When the economy approaches production at nearly full capacity, the increased demand results in pressure on input cost including wages. As productivity increases the potential output by 4% each period, the type of monetary policy that maintains a zero rate of inflation at full employment is to increase the money supply by 4% per period.
Note: The question is incomplete as it is missing options. The options are A. It should keep money supply constant. B. It should increase money supply by 4% in the first period and thereafter, hold money supply constant. C. It should increase money supply by 4% per period. D. t should decrease money supply by 4% each period.
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sin(2x-pi/2)=sin pi/3
a group of 8 people are ordering pizza. Each person wants 3 slices and each pizza has 10 slices how many pizzas should they order
Answer:
3
Step-by-step explanation:
8 people
3 slices per person
8 × 3 = 24
They need 24 slices.
1 pizza has 10 slices.
24/10 = 2.4
They need 2.4 pizzas. Since they need to order a whole number of pizzas, they need to order 3 pizzas.
Answer: 3
130% of what is 101 please solve your work.
Answer:
≈ 77.7
Step-by-step explanation:
Given 130% is 101
We require the original, that is 100%
Divide 101 by 130% to find the value of 1%, then multiply by 100
101 ÷ 130 = 0.7769... , then
0.7769 × 100 = 77.7 ( to 1 dec. place )
Please Help Me!!!!!!
Answer:
d
Step-by-step explanation:
I think d...............
Mr. Roberts bought a gas cooker $945. He sold it to a customer for 803.25 due to damage. Calculate:
a.) The loss
b.) The percentage loss
Answer:
A. $141.75
B. 15% loss (803.25/945)
Step-by-step explanation:
Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
what is the higher (stronger) correlation? write the letter of the correct answer. a. 0.87 b. -0.89 c. -0.2 d. 1.2
The strongest correlation is - 0.89 that is option B
To gauge how closely two variables are related to one another, correlation coefficients are used. The most common correlation coefficient is Pearson's, though there are other varieties as well. The correlation coefficient known as Pearson's is frequently applied in linear regression. Correlation coefficients typically fall between -1.00 and +1.00. The strongest correlation is taken into account when the value is closest to +1 or -1, according to the rule of correlation coefficients.
A positive correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero correlation coefficient and when the correlation coefficient is negative, it means that the values of the two variables are inversely related.
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Please asap find the area of this figure... picture attached
Answer:
1 911.484916 square units
Step-by-step explanation:
Area of the rectangle = 50 * 14 = 700 square units
thanks to the given informations we can find the height of the triangle by using sine.
sin = opposite/hypotenuse
opposite = hypotenuse * sin = 50 * 0,969188 = 48,459397
Area of the triangle = (50 * 48,459397)/2 = 1.211,484916 square units
Total area = 1.211,484916 + 700 = 1.911,484916 square units
3
5
Dan reads chapters in
56
hours.
What is the unit rate in chapters per hour?
Write your answer in simplest form.
Answer:
How many chapters does Dan read in 56 hours?
Step-by-step explanation:
Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1). Use the box provided to submit all of your calculations and final answers.
The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).
Given that,
The line passing through the points (-2, 1) and in its point-slope form (0, 1). Recognize (x₁, y₁) as (-2, 1).
We have to find to submit all of your calculations and complete responses.
We know that,
The point passing through the other point.
We can find the slope.
Slope is rise/run.
The points are (-2,1) and (0,1)
m is 1-1/0+2
m is 0/2
m is 0
Therefore, The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).
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