Can you Solve these Problems ASAP
Find the set of solutions for each of the following absolute value inequalities
The set of solutions for each of the inequalities are given by:
(b) - 4.8 < m < 6.4
(e) x \(\geq\) 5
(g) - 11.6 < z < 14
(h) either k < -19/3 or k > 7
Solving the given absolute value inequalities we get,
(b) The given inequality,
|2 - 5m/2| < 14
- 14 < 2 - 5m/2 < 14
-14 - 2 < -5m/2 < 14 - 2
-16 < -5m/2 < 12
-12 < 5m/2 < 16
-12*2 < 5m < 16*2
-24/5 < m < 32/5
- 4.8 < m < 6.4
(e) The given inequality,
2> - |(x-8)/5 + 3/5|
|(x-8)/5 + 3/5| > -2
|(x-8)/5 + 3/5| \(\geq\) 0 [Since absolute value is always positive or zero]
(x-8)/5 + 3/5 \(\geq\) 0
(x-8+3)/5 \(\geq\) 0
x - 5 \(\geq\) 0
x \(\geq\) 5
(g) The given inequality,
|(5z - 6)/8| < 8
-8 < (5z - 6)/8 < 8
-64 < 5z - 6 < 64
-64 + 6 < 5z < 64 + 6
-58 < 5z < 70
-58/5 < z < 70/5
-58/5 < z < 14
- 11.6 < z < 14
(h) The given inequality,
|(3k - 1)/4| > 5
either, (3k - 1)/4 < -5
3k - 1 < -20
3k < -19
k < -19/3
or, (3k - 1)/4 > 5
3k - 1 > 20
3k > 20 + 1 = 21
k > 21/3
k > 7
Hence the solution sets are:
(b) - 4.8 < m < 6.4
(e) x \(\geq\) 5
(g) - 11.6 < z < 14
(h) either k < -19/3 or k > 7
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find m< AFE and include working out.
Answer:
∠ AFE = 80°
Step-by-step explanation:
Since BD is a straight line , then
∠ AFB + ∠ AFE + ∠ EFD = 180°, that is
50° + ∠ AFE + 50° = 180°
100° + ∠ AFE = 180° ( subtract 100° from both sides )
∠ AFE = 80°
What is the interval used in the graph shown below? A. 4 B. 9 C. 10 D. 11
Answer:
C - 10
Step-by-step explanation:
I did the quiz and this is what I got, it said I was right.
Answer:
Answer:
c-10
Step-by-step explanation
the person above's right
Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.
Based on the diagram, can point D be the centroid of triangle ACF? Explain.
Yes, point D is the point of intersection of segments drawn from all three vertices.
Yes, DE is three-quarters of the length of the full segment.
No, DE should be longer than AD.
No, the ratio between AD and DE is 3:1.
Answer:
D
Step-by-step explanation:
edge
Answer:
D
Step-by-step explanation:
Yes
The area of a rectangular field is 6942 m
If the width of the field is 78 m, what is its length?
m².
Length of the field:
The required length of the rectangle is 89 m.
Given that,
The area of a rectangular field is 6942 m. If the width of the field is 78 m, what is its length is to be determined.
Perimeter is the measure of the figure on its circumference.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
The area of the rectangle = length * width
6942 = length * 78
length = 89 m
Thus, the required length of the rectangle is 89 m.
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A car company tested a sports car on a road with different inclines. the test driver tested the car by driving a distance of x miles on a flat road, (x2 3) miles downhill, and (x − 7) miles uphill. which simplified expression is equivalent to the total distance, in miles, for which the car was tested? 3x2 − 4 3x2 10 x2 2x − 4 x2 2x 10
Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .
Total distance drive on flat road = x miles
Total distance drive on downhill = (x²+ 3) miles
Total distance drive on uphill = ( x - 7 ) miles
Simplified expression which is equivalent to total distance drive by a car
= Distance drive on ( flat road + downhill + uphill )
= ( x + x²+ 3 + x - 7 ) miles
= ( x² + 2x - 4 ) miles
Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c. ( x² + 2x - 4 ) miles.
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The above question is incomplete , the complete question is:
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
a.3x² _ 4
b. 3x² + 10
c. x² + 2x - 4
d. x² + 2x + 10
need help ASP. find the inverse function of f(x)=3x-4
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
\(y = \frac{ x + 4}{3} \)
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
\(y = \frac{x + 4}{3} \)
how to make a square with 50px sides tracy
To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.
A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.
Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.
Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.
Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.
Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.
By following these steps, you have successfully created a square with 50px sides.
In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.
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the weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 17 . if 15 fish are randomly selected, what is the probability that the mean weight will be between 16.1 and 22.1 lb? (sorry, there is an error here, for now use z-scores on this)
The probability that the mean weight will be 0.4923
What is Probability?
A probability is a number that represents the likelihood or chance that a specific event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Given,
µ = 18
Standard Deviation = 17
N = 15
Find: P(16.1 < bar{X} < 22.1)
= P ( \(\frac{16.1 - µ}{σ / \sqrt{N} }\) < \(\frac{X - µ}{σ / \sqrt{N} }\) < \(\frac{22.1 - µ }{σ / \sqrt{N} }\) )
= P ( \(\frac{16.1 - 18}{17 / \sqrt{15} }\) < Z < \(\frac{22.1 - 18}{17 / \sqrt{15} }\) )
= P(-0.4329 < Z < 0.9341)
= P(Z < 0.9341) - P(Z < -0.4329)
= 0.8249 - 0.3326
= 0.4923
The probability that the mean weight will be 0.4923
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For which equation is b = 3 the solution? O b + 6 = 10 Ob+8=11 o 5-b=8 Ob-6 = 9
Substitute the value of b in the equation to check which equation satisfy the value of b.
For b + 6 = 10,
\(\begin{gathered} 3+6=10 \\ 9\ne10 \end{gathered}\)b = 3 is not solution of equation.
For b + 8 = 11,
\(\begin{gathered} 3+8=11 \\ 11=11 \end{gathered}\)So b = 3 is solution of equation b + 8 = 11.
For equation 5 - b = 8,
\(\begin{gathered} 5-3=8 \\ 2\ne8 \end{gathered}\)So b = 3 is not solution of equation.
For equation b - 6 = 9,
\(\begin{gathered} 3-6=9 \\ -3\ne9 \end{gathered}\)So b = 3 is not a solution of equation.
Answer: b + 8 = 11
A company manufactures and sells DVD's. Here are the equations they use in connection with their business.Number of DVD's sold each day: n(x) = xSelling price for each DVD: p(x) = 8.5 - 0.02xDaily fixed costs: f(x) = 210Daily variable costs: v(x) = 2xFind the following functions.a. Revenue = R(x) = the product of the number of DVD's sold each day and the selling price of each DVD.b. Cost = C(x) = the sum of the fixed costs and the variable costs.c. Profit = P(x) = the difference between revenue and cost.d. Average cost = C (x) C¯(x) = the quotient of cost and the number of DVD's sold each day.
The Average cost, after calculations, comes up to 210/x + 2.
To find the following functions such as Revenue, Cost, Profit and Average cost, we have given the equations as below:
Number of DVD's sold each day: n(x) = x
Selling price for each DVD: p(x) = 8.5 - 0.02x Daily fixed costs: f(x) = 210 Daily variable costs: v(x) = 2x
To Find the following functions:
a. Revenue = R(x) = the product of the number of DVD's sold each day and the selling price of each DVD.
b. Cost = C(x) = the sum of the fixed costs and the variable costs.
c. Profit = P(x) = the difference between revenue and cost
d. Average cost = C (x) C¯(x) = the quotient of cost and the number of DVD's sold each day.
Number of DVD's sold each day: n(x) = x
Selling price for each DVD: p(x) = 8.5 - 0.02x Daily fixed costs: f(x) = 210 Daily variable costs: v(x) = 2x
a. Revenue = R(x) = the product of the number of DVD's sold each day and the selling price of each DVD.R(x) = n(x) × p(x) = x × (8.5 - 0.02x) = 8.5x - 0.02x2
b. Cost = C(x) = the sum of the fixed costs and the variable costs.C(x) = f(x) + v(x) = 210 + 2x = 2x + 210
c. Profit = P(x) = the difference between revenue and cost.P(x) = R(x) - C(x) = 8.5x - 0.02x2 - (2x + 210) = -0.02x2 + 6.5x
d. Average cost = C(x)C¯(x) = the quotient of cost and the number of DVD's sold each day. C¯(x) = C(x) / x = (210 + 2x)/x = 210/x + 2
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a 90% confidence interval for the average number of children per household based on a simple random sample is found to be (.7, 2.1). can we conclude that 90% of households have between .7 and 2.1 children?
No, we cannot conclude that 90% of households have between .7 and 2.1 children based on the confidence interval alone.
Based on the confidence interval alone, we cannot come to the conclusion that 90% of households have a number of children between .7 and 2.1. A confidence interval only provides a range of values that likely contains the true population parameter (in this case, the average number of children per household) with a certain level of confidence (in this case, 90%). It does not provide information about the distribution of the variable within the population. Therefore, we cannot make any conclusions about what percentage of households have a certain number of children based on the confidence interval alone.
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A 5-meter roll of fabric cost $23.50. What is the unit price?
somebody please help !!
Answer:
A'(6,8)
B'(6,2)
C'(2,2)
Step-by-step explanation:
You can find the vertices by finding the X and Y coordinates in the plane, after rotating it 180 degrees.
Find x and y
(45-45-90 formula)
(It’s not 5.6 for x and y I got that wrong)
I’ll mark as brainliest!!
Answer:
x = y = 4\(\sqrt{2}\)
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = \(\frac{\sqrt{2} }{2}\) , then
cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{8}\) ( multiply both sides by 8 )
8 × cos45° = x , then
x = 8 × \(\frac{\sqrt{2} }{2}\) = 4\(\sqrt{2}\)
The third angle in the triangle = 45° ( sum of angles in triangle )
Then the triangle is isosceles with congruent legs, thus
x = y = 4\(\sqrt{2}\)
The Excel file Automobile Options provides data on options ordered together for a particular model of automobile. By examining the correlation matrix, suggest some associations.
You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.
Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.
You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.
The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."
You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."
To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.
It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.
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If you solve this fast I’ll name you brainliest So pls help me
Answer:
x = 23
y = 119
Step-by-step explanation:
Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.
We can write the following equation based on this information:
4x - 31 = 61 add 31 to both sides
4x = 92 divide both sides by 4
x = 23
now onto y,
the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:
4x - 31 + y = 180 replace x with 23
4*23 - 31 + y = 180
92 - 31 + y = 180 subtract like terms
61 + y = 180 subtract 61 from both sides
y = 119
Use calculus to find the area of the triangle with the given vertices: (0,0) (2.8) (5,6)
The area of the triangle with the given vertices is 6.6.
The formula for finding the area of a triangle given its vertices is A = 1/2 abs(x1y2 + x2y3 + x3y1 - x2y1 - x3y2 - x1y3). To calculate the area of the given triangle, we substitute the coordinates of each vertex into the formula. First we find the three cross-products: x1y2 = 0 * 6 = 0, x2y3 = 2.8 * 6 = 16.8, and x3y1 = 5 * 0 = 0. Then, we find the two products of the y-coordinates: x2y1 = 2.8 * 0 = 0, and x3y2 = 5 * 6 = 30. Lastly, we find the product of the x-coordinates: x1y3 = 0 * 6 = 0. Adding all these up, we get 0 + 16.8 + 0 - 0 - 30 - 0 = -13.2. We then take the absolute value of the result, abs(-13.2) = 13.2. Finally, we multiply the result by 1/2 to get the area of the triangle, A = 1/2 abs(-13.2) = 1/2 * 13.2 = 6.6. Therefore, the area of the triangle with the given vertices is 6.6.
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Rachels company invest 2200 for her each year she works for the company. The investments earns 2.3% simple interest each year. Rachel has worked for this company for one year how much is her investment worth?
Answer:
Step-by-step explanation:
2250.6
Rachel's investment is worth $2251.60 after the first year.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
The investments earn 2.3% simple interest each year.
The interest earned in the first year is calculated as follows:
Interest = (2.3/100) x $2200
Apply the multiplication operation, and we get
Interest = $51.60
So, Rachel's investment is worth $2200 + $51.60 = $2251.60 after the first year.
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Calc 2
Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 49 cm.
a) How much work (in J) is needed to stretch the spring from 40 cm to 44 cm? (Round your answer to two decimal places.)
------J
b) How far beyond its natural length (in cm) will a force of 20 N keep the spring stretched? (Round your answer one decimal place.)
------cm
The work done in stretching the spring from 40 cm to 44 cm is 0.28 J while the extension by the 20 N force is by 0.058 m.
What is the Hooke's law?Hooke's law states that, as long as the elastic limit is not exceeded the force that is exerted on an elastic material is directly proportional to the length of the material.
Given that;
W = 1/2Ke^2
W = elastic potential energy
K = force constant
e = extension
Given that the extension is obtained from; (49 - 32) * 10^-2
= 0.17 m
5 = 0.5 * K * (0.17)^2
K = 5/0.5 * (0.17)^2
K = 346
a) To stretch the spring from 40 cm to 44;
e = (44 - 40) * 10^-2
= 0.04 m
W = 0.5 * 346 * (0.04)^2
= 0.28 J
b) The spring is stretched;
F = Ke
F =force
K = force constant
e = extension
20 = 346 * e
e = 20/346
e = 0.058 m
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a and b play a series of games. each game is independently won by a with probability p and by b with probability 1-p. they stop when the total number of wins of one of the players is two greater than that of the other player. the player with the greater number of total wins is declared the match winner. a. find the probability that a total of 4 games are played. b. find the probability that b is the match winner. (20 points)
The Probability that 4 games will be played in total and determine the likelihood that b will win the game are 2[(p³(1-p) + p(1-p)³] and p² / [p² + (1-p)²]
Given that,
A and B engage in a number of games. A and B each win a game with a probability of p and 1-p, respectively. They come to an end when one player has two more victories overall than the other player. The contest is decided by whoever player has accrued the most victories overall.
To find : The Probability that 4 games will be played in total and determine the likelihood that b will win the game.
Determine first which exact order of wins causes games.
The first game is won by A: B triumphs in game two ( if A wins again, Awon and the game is over)A or B might win the following two games to give themselves a two-game lead equivalently in the scenario if B triumphs in game one.
The ordering can be ABAA, ABBB, BAAA, or BABB.
P(4 games precisely) = P(ABAA) + P(ABBB) + P(BAAA)+ P(BABB)
P(4 games precisely) = 2[(p³(1-p) + p(1-p)³]
The likelihood that b will win the game is therefore 2[(p3(1-p) + p(1-p)3] and the probability that 4 games will be played overall. as well as p2 / [p2 + (1-p)2]
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a regression model involved 5 independent variables and 136 observations. the critical value of t for testing the significance of each of the independent variable's coefficients will have group of answer choices 121 degrees of freedom. 135 degrees of freedom. 130 degrees of freedom. 4 degrees of freedom.
The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.
This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.
Therefore, (136 - 5 - 1) = 130 degrees of freedom.
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Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon B. Cherry-lemon, lemon-lollipop, lollipop-cherry, lollipop-lollipop, lemon-lemon C. Lemon-cherry, lemon-cherry, lemon-cherry, lemon-lollipop, lemon-lollipop, lemon-lollipop, cherry-lollipop, cherry-lollipop, cherry-lollipop D. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-lollipop, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lemon, lollipop-lemon
Answer:
A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
Answer:
LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
There are 314 students. Each bus has room for 25 students. How many busses are necessary for the field trip?
Answer: Check Below
Step-by-step explanation:
First, divided 314 by 25= 12
Now the remaining requires one more bus.
So now 12+1=13 buses. This is your answer. Thank you.
Answer:
13 buses
Step-by-step explanation:
We have 314 students, and each bus seats 25 students. Let's divide 314 with 25.
314/25 = 12.56
This means in order to seat everyone, you would need 12.56 buses. But you can only have whole buses, meaning round up 12.56 to 13. So, 13 buses are necessary.
Feel free to comment if this doesn't make sense, and I'll try to explain it in a different way.
(q007) identify the true statement. group of answer choices p-waves and s-waves are seismic surface waves. s-waves are compressional body waves, while p-waves are shear body waves. surface waves are the first to show up on a seismogram recording of a quake. surface waves typically have the largest amplitude.
In this case, the true statement is that surface waves typically have the largest amplitude.
Explanation:
What are seismic waves?
Seismic waves are vibrations that travel through the earth's layers and carry the energy from an earthquake's release. Seismic waves are divided into two main types: body waves and surface waves.
Body waves are waves that travel through the earth's interior and have two different types: P-waves, or primary waves, and S-waves, or secondary waves.
Surface waves are the waves that travel along the earth's surface and are responsible for the most significant destruction during an earthquake. Surface waves are divided into two types: Rayleigh waves and Love waves.
Surface waves typically have the largest amplitude, which means that they are the ones that shake the most and cause the most significant destruction.
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what is a=1/4 b if b is the subject?
Answer:
b = 4a
Step-by-step explanation:
Given
a = \(\frac{1}{4}\) b
Multiply both sides by 4 to clear the fraction
4a = b
B. Determine the principal
1. √64
2. √100
3. √169
4. √196
5. √256
how please
The principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.
According to the question,
We have the following information:
1. √64
2. √100
3. √169
4. √196
5. √256
Now, in order to find the principal square root of these numbers, we will express these numbers in the form of the product of numbers then we will find the square root.
1) \(\sqrt{64}\)
We have the following expression:
\(\sqrt{2*2*2*2*2*2}\)
2*2*2
8
2) \(\sqrt{100}\)
\(\sqrt{2*2*5*5}\)
2*5
10
3) \(\sqrt{169}\)
\(\sqrt{13*13}\)
13
4) \(\sqrt{196}\)
\(\sqrt{2*2*7*7}\)
2*7
14
5) \(\sqrt{256}\)
\(\sqrt{2*2*8*8}\)
2*8
16
Hence, the principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.
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what is the commutative property for 4xy
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Answer:
\(we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you\)
Consolidated Edison has just paid an annual dividend of $3 per share. If the expected growth rate for Con Ed is 10%, and your required rate of return is 16%, how much are you willing to pay for this stock
Based on the given information, the calculation of the stock's intrinsic value suggests that you would be willing to pay a certain amount for Consolidated Edison stock. The annual dividend is $3 per share, with an expected growth rate of 10% and a required rate of return of 16%.
To determine the intrinsic value of a stock using the dividend growth model, you can use the formula: Intrinsic Value = Dividend / (Required Rate of Return - Growth Rate). Applying this formula, the intrinsic value of the stock can be calculated as follows: $3 / (0.16 - 0.10) = $3 / 0.06 = $50.
Therefore, based on the given information, you would be willing to pay up to $50 for Consolidated Edison stock. It is important to note that this calculation assumes a constant growth rate and does not account for other factors that may influence the stock's value, such as market conditions, company performance, or industry trends. It is always advisable to conduct further research and analysis before making any investment decisions.
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