Answer and Step-by-step explanation:
Use the Pythagorean theorem to solve.
Plug in the value 5 for a, and 6 for b. c will stay as c.
\(a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c\)
5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.
We then square root both sides of the equation to get c by itself, resulting in the square root of 61.
The square root of 61 becomes 7.810249676
c = 7.8102
To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.
If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.
#teamtrees #PAW (Plant And Water)
ANSWER THE 4 QUESTIONS
Answer:
13.
7.5
14.
-234.375
Step-by-step explanation:
13.
\(a_{0} =a_{1} -6.5=14-6.5=7.5\)
14.
\(a_{0} =\frac{a_{1} }{-0.8} =\frac{187.5}{-0.8} =-234.375\)
180
9. What is the value of x below?
A.
B.
1362
C.
D.
→ K
g
136
90
54
t
Answer:
icifzuez8t
Step-by-step explanation:
f8x8s3w557t6jeflfrjj5xg
z4usti
jayo4i
zirstodtpd
dry
fumc
NUMBER SENSE
27. Reverse the digits of 432 and subtract the
smaller number from the larger number.
Repeat this procedure five more times.
What is the final difference?
Answer: 99-99=0
Step-by-step explanation:
432,234 432-234=
198,891 891-198 =693
693,396 693-396 =297
297,792 792-297= 495
495,594 594-495=99
99-99=0
n a normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a score will be greater than 82? group of answer choices 23.89% 26.11% 76.11% 28.43% 52.22%
The probability that a score will be greater than 82 in a normal distribution with a mean of 78 and a standard deviation of 7 is 28.43%. Correct option is D.
To calculate the probability that a score will be greater than 82 in a normal distribution with a mean of 78 and a standard deviation of 7, we need to use the standard normal distribution and the z-score.
First, we can find the z-score for 82 using the formula:
z = (x - mu) / sigma
where x is the value of interest (in this case, 82), mu is the mean (78), and sigma is the standard deviation (7).
z = (82 - 78) / 7
z = 0.57
Next, we can use a z-table or a calculator to find the area under the standard normal curve corresponding to a z-score of 0.57. The area represents the probability that a score will be greater than 82.
Using a standard normal table, we find that the area to the right of z = 0.57 is 0.2843 or approximately 28.43%. Therefore , correct option is D.
In conclusion, by calculating the z-score and using a standard normal distribution table, we can find the probability that a score will be greater than a certain value in a normal distribution with a known mean and standard deviation.
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Complete question is:
A normal distribution with a mean of 78 and a standard deviation of 7, what is the probability that a score will be greater than 82?
group of answer choices
A. 23.89%
B. 26.11%
C. 76.11%
D. 28.43%
E. 52.22%
Traingle A(1,8), M(6,8). P(2,3), is reflected over the x axis and then rotated 90degrees clockwise. What are the coordinates of its image A'M'P'?
Reflection over the x-axis transforms the point (x,y) into (x, -y), then
A(1,8) → A''(1, -8)
M(6,8) → M''(6, -8)
P(2,3) → P''(2, -3)
Rotation 90° clockwise transform the point (x, y) into (y, -x), then
A''(1, -8) → A'(-8, -1)
M''(6, -8) → M'(-8, -6)
P''(2, -3) → P'(-3, -2)
SOMEONE PLEASE HELP ME I NEED IT
Answer: m=-5/11
Step-by-step explanation:
To find the slope of two points use the formula m=y2-y1/x2-x1
Answer:
-5/11
Step-by-step explanation:
(21,-4) & (10, 1)
x1, y1 x2,y2
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4))/(10 - 21)
= -5/11
A consumer has utility function u(x,y)=x
a
y
1−a
where 00 and y>0 for interior solutions. (a) Find the consumer's optimal consumption choice for x and y. (b) Compute the derivative of the optimal level of utility with respect to m.
(a) The consumer's optimal consumption choice for x and y can be found by taking the partial derivatives of the utility function with respect to x and y, setting them equal to zero, and solving for x and y.
(b) The derivative of the optimal level of utility with respect to m can be computed using the chain rule and the solution obtained in part (a).
(a) To find the consumer's optimal consumption choice for x and y, we need to maximize the utility function u(x, y) = x^a * y^(1-a).
Taking the partial derivative of u(x, y) with respect to x and setting it equal to zero:
∂u/∂x = a * x^(a-1) * y^(1-a) = 0.
Simplifying the equation, we get:
a * x^(a-1) * y^(1-a) = 0.
Since a > 0, x^(a-1) ≠ 0. Therefore, we can divide both sides of the equation by a * x^(a-1) to obtain:
y^(1-a) = 0.
However, y^(1-a) ≠ 0 because y > 0 and 1-a ≠ 0. Therefore, the equation y^(1-a) = 0 has no solution.
Next, we take the partial derivative of u(x, y) with respect to y and set it equal to zero:
∂u/∂y = (1-a) * x^a * y^(-a) = 0.
Simplifying the equation, we get:
(1-a) * x^a * y^(-a) = 0.
Since 1-a ≠ 0, x^a ≠ 0, and y^(-a) ≠ 0, we can divide both sides of the equation by (1-a) * x^a * y^(-a) to obtain:
1 = 0.
However, 1 ≠ 0, so the equation 1 = 0 has no solution.
Therefore, the consumer's optimal consumption choice for x and y cannot be determined using the partial derivatives of the utility function. Additional information or constraints are needed to find the optimal solution.
(b) Since the optimal consumption choice for x and y cannot be determined, we cannot compute the derivative of the optimal level of utility with respect to m.
This completes the explanation.
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an integer multiplied by an integer is an integer.
That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.
Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.
For example:
- Multiplying two positive integers: 3 * 4 = 12
- Multiplying a positive and a negative integer: (-5) * 6 = -30
- Multiplying two negative integers: (-2) * (-8) = 16
- Multiplying an integer by zero: 9 * 0 = 0
In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.
It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.
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An integer multiplied by an integer is an integer. True or False?
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4? Responses x2=−2(y−2) x squared equals negative 2 open parenthesis y minus 2 close parenthesis x2=−8y x squared equals negative 8 y x2=−2y x squared equals negative 2 y, , x2=−8(y−2) x squared equals negative 8 open parenthesis y minus 2 close parenthesis
can someone help me pls
answer chocices
a.80
b.180
c.100
d.90
Answer:
<1= 100°
Step-by-step explanation:
<1=<5 Corresponding angles are equal
To find <5
180-80=100
Therefore <1=100
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3
-2 and 9+21 are zeros
1(1)=204
=(x);
(Type an expression using x as the variable Simplify your answer)
An nth-degree polynomial function with real coefficients that satisfies the given conditions, where n = 3 and the zeros are -2 and 9 + 21, and the function value f(1) = 204, is f(x) = (x + 2)(x - (9 + 21))(x - 1).
To find the polynomial function that satisfies the given conditions, we start by considering the zeros. Since the zeros are given as -2 and 9 + 21, we can write the factors for the polynomial as (x + 2) and (x - (9 + 21)).
Next, we consider the function value f(1) = 204. This means that when x = 1, the function should evaluate to 204. To satisfy this condition, we include the factor (x - 1) in our polynomial.
Combining these factors, we have the polynomial function f(x) = (x + 2)(x - (9 + 21))(x - 1).
To verify the real zeros and the given function value, we can use a graphing utility. By graphing the function, we can observe the x-intercepts, which represent the zeros, and check if the function evaluates to 204 when x = 1.
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Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
sin(–60°)
cos(–60°)
cos(60°)
sin(60°)
Answer:
A. sin(-60°)
Step-by-step explanation:
test on edge
Answer of given expression is sin(-60°)
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given expression,
sin(20°)cos(80°) – cos(20°)sin(80°)
∵ sin(A-B) = sinA.cosB – cosA.sinB
∴ sin(20°-80°)
So, sin(-60°)
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The table shows the gallons of fuel remaining after a car
travels a certain distance in miles
Distance
(miles)
Fuel Remaining
(gallons)
The change in fuel remaining from one row to the next
in the table is gallon(s)
The change in distance from one row to the next in the
table is
mile(s)
The slope of the line that runs through the points given
in the table is
The slope indicates a
13. 50
13. 46
13. 42
3
13. 38
13. 34
5
13. 30
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile
what is slope ?The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).
given
It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.
From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.
The distance in the table that changes from one row to the next is 1 mile.
The slope is the pace at which the amount of fuel left changes in relation to the change in distance.
The line that passes through the places listed in the table has a slope of -0.04 degrees.
The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.
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Remind???? anybody, or nobody???
Answer:
wdym? like the app remind?
Answer:
you have to download the remind app
Let X=(1, 2, 3, 4, 5, 6). Which of the following is a relation on X? a. {(1, 2), (3, 4), (5, 6)}
b. (1,3,5) c. {(1, 2), (3, 4), (5, 6)} d. (1 2)(3 4)(5 6)
Among the options provided, only option a. {(1, 2), (3, 4), (5, 6)} represents a relation on X. A relation is a set of ordered pairs, where the first element of each pair belongs to the first set (X in this case), and the second element belongs to the second set (which can also be X in some cases).
In this case, the ordered pairs (1, 2), (3, 4), and (5, 6) all have their first elements from X and their second elements from X as well, making it a valid relation on X.Option b. (1, 3, 5) is not a relation on X because it is a single element (not an ordered pair) and does not follow the definition of a relation.
Option c. {(1, 2), (3, 4), (5, 6)} is the same as option a, so it represents a valid relation on X.Option d. (1 2)(3 4)(5 6) represents a permutation or a cycle notation, which is not a relation on X. Permutations and cycle notations describe the rearrangement of elements in a set, rather than relationships between elements. In summary, options A and c are related to X, while options b and d are not.
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Question no.8
Plz heeeeelp
The exterior angle of each polygon and the adjacent interior angle are
supplementary.
(a) 72° (b) \(\displaystyle 51 \frac{3}{7} ^{\circ}\) (c) 36° (d) 20° (e) 18°
Reasons:
The formula for the exterior angle of a regular polygon is, \(\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}\)
Where;
θ = The exterior angle of the polygon
n = The number of sides of the regular polygon
(a) The number of sides in a pentagon, n = 5 sides
Therefore, for a regular pentagon, we have;
\(Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}\)
The measure of the exterior angle of a pentagon, is 72°
(b) An heptagon has n = 7 sides
The measure of the exterior angle, θ, of a regular heptagon is therefore;
\(Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}\)
(c) A decagon has n = 10 sides, which gives;
\(The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}\)
(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;
\(The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}\)
(e) A regular 20-gon has n = 20 sides
The exterior angle of a regular 20-gon is \(\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}\)
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math question geometry
Answer:
Step-by-step explanation:
Area=7*7=49
?*7=49*2
?*7=98
?=98:7
?=14
will be nice if you give me brainlies.Good luck!
Write an English phrase that would translate into the following mathematical expression.
5z -7
Which of the following is equivalent to the expression 5z-7?
A. The quotient of 5 times a number z and 7
B. 7 less than the product of 5 and a number z
C. 5 less than the product of 7 and a number z
D. 5 times the difference of a number z and 7
Answer:
C.
Step-by-step explanation:
5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z
Please help me I will give you 25 points and brainliest if you help!! :)))
Answer:
(l*b)
length*breadth
=is answer.
What is the ratio for 128 eggs per 72 strips of bacon
Answer:
128:72
Or
16:9 (simplified)
Hope this helps!
Algebra I-A
2 84.3 Quiz: Two-Variable Systems of treuses
A. Region D
B. Region A
C. Region C
OD. Region B
A
D
B
The region of the solutions to the system is (d) Region B
Selecting the region of the solutions to the systemFrom the question, we have the following parameters that can be used in our computation:
The graph
This point of intersection of the lines of the graph represent the solution to the system graphed
From the graph, we have the intersection point to be
(x, y) = (2, 3)
This is located in region B and it means that
x = 2 and y = 3
Hence, the region of the solutions to the system is (d) Region B
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Score on last try: 0 of 1 pts. See Details for more. You can retry this question below Hint 1 Hint 2 Hint 3 Hint 4 A bug flying horizontally at 0.65 m/s collides and sticks to the end of a uniform stick hanging vertically. After the impact, the stick swings out to a maximum angle of 8.5° from the vertical before rotating back. If the mass of the stick is 10 times that of the bug, calculate the length of the stick. Heads up: this is a challenging problem.
The length of the stick was 7.55 cm.
Given that,
initial speed of bug is given by, v=0.65 m/s
m refers to the mass of bug.
Mass of stick is given by, M= 10m
I refers to the moment of inertia of bug and stick together about the end of the stick.
ω refers to the angular velocity of the bug and stick immediately after collision.
L refers to length of stick
Stick can be considered rod.
Now, moment of inertia about end of a rod is given by = 1/3 ML²
From angular momentum conservation theory we can get,
total initial angular momentum = total final angular momentum
mvL = Iω
mvL = [mL² + 1/3 ML²] ω
mvL = [mL² + 1/3 (10m) L²] ω
0.65 L = 4.333 L²ω
L = 0.15/ω
ω = 0.15/L
Change in vertical position center of mass of rod is given by,
H = L/2 [1 - cos θ]
Change in vertical position of bug after reaching max height is given by,
h = L [1 - cos θ]
From energy conservation law we can conclude that,
Rotational kinetic energy immediately after collision = Potential energy of bug and stick system at max height .
(1/2) [mL² + 1/3 ML²] ω² = mgh + MgH
(1/2) [mL² + 1/3 (10m) L²] ω² = m(gh + 10gH)
2.167 L²ω² = g (h + 10H)
2.167 L² (0.15/L)² = g [L [1 - cos θ] + 5L [1 - cos θ]] (Substituting the relations from previous)
(2.167) (0.15)² = 6 (9.8) L (1 - cos 8.5)
L = 0.0755 m (Rounding off to nearest fourth decimal places)
L = 7.55 cm
Hence the length of the stick was 7.55 cm.
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The question is incomplete. The complete question will be -
Online Trailer Views (millions) Opening Weekend Box Office Gross ($millions)
60.677 35.248
9.584 8.987
9.119 6.638
11.335 23.850
82.629 101.385
37.451 64.735
20.474 15.391
4.483 8.797
4.809 11.012
44.081 39.959
4.798 21.348
28.797 14.020
7.006 4.888
60.025 142.830
7.743 13.451
9.002 12.232
8.721 1.282
1.410 3.087
1.392 3.858
3.388 5.434
7.748 3.193
5.667 0.056
29.594 101.612
1.136 4.004
5.531 11.367
6.866 16.544
55.100 47.101
3.403 5.680
30.541 16.794
4.787 8.327
13.191 11.636
61.711 39.842
81.083 171.157
4.500 4.188
32.779 57.781
0.212 13.738
46.244 90.121
4.989 4.690
6.630 33.377
0.942 3.705
2.258 1.513
11.327 18.470
8.966 12.202
15.177 4.357
13.714 30.436
31.231 53.003
52.612 46.607
16.235 13.003
6.884 3.776
11.698 18.223
2.827 3.471
23.075 13.602
12.606 40.011
0.826 1.385
27.536 20.130
7.273 3.404
3.323 1.207
4.267 10.951
3.790 8.344
7.597 11.614
12.912 13.501
7.067 5.106
5.020 1.985
7.739 22.800
16.795 13.689
7.643 2.080
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor. For each of the
66
movies, the number of online trailer views from the release of the trailer through the Saturday before a movie opens and the opening weekend box office gross (in millions of dollars) are collected and stored in the accompanying table. Complete parts (a) through (e) below.
b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients
b 0
and
b 1
.
b 0
equalsenter your response here
b 1
equalsenter your response here(Round the value of
b 0
to two decimal places as needed. Round the value of
b 1
to three decimal places as needed.)
The regression coefficients are:
b0 ≈ -3.782
b1 ≈ 0.434
We must fit a linear regression model to the data in order to use the least-squares method to determine the regression coefficients b0 and b1.
First things first, let's label the online trailer views as X and the opening weekend box office gross as Y. Then, we'll figure out the necessary amounts:
n = 66 (number of movies) X = sum of all X values Y = sum of all Y values XY = sum of the product of X and Y X2 = sum of the squares of X We can then calculate the regression coefficients using the following formulas:
b0 = (Y - b1 * X) / n Calculating the necessary sums: b1 = (n * XY - X * Y) / (n * X2 - (X)2)
X = 1014.857, Y = 823.609, XY = 45141.001, and X2 = 110268.605 The following formulas were used to determine the coefficients of regression:
The regression coefficients are as follows: b1 = (66 * 45141.001 - 1014.857 * 823.609) / (66 * 110268.605 - (1014.857)2) 0.434 b0 = (823.609 - 0.434 * 1014.857) / 66 -3.782
b0 ≈ -3.782
b1 ≈ 0.434
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El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?
Answer:
20% de 240=20×240÷100= 48 practican deporte
allante pizza delivers pizzas throughout its local market area at no charge to the customer. however, customers often tip the driver. the owner is interested in estimating the mean tip income per delivery. to do this, she has selected a simple random sample of 12 deliveries and has recorded the tips that were received by the drivers. these data are: $2.25 $2.50 $2.25 $2.00 $2.00 $1.50 $0.00 $2.00 $1.50 $2.00 $3.00 $1.50 suppose the owner is interested in developing a 90% confidence interval estimate. given the fact that the population standard deviation is unknown, what distribution will be used to obtain the critical value?
The distribution used to obtain the critical value in this situation is the Student's t-distribution.
What is critical value?Critical value is a statistical value used to determine whether a hypothesis test result is statistically significant or not. It is the value that is compared to the test statistic to determine whether the null hypothesis should be rejected or not. The critical value is determined by the level of significance chosen for the study, the sampling distribution of the test statistic, and the degrees of freedom.
The Student's t-distribution is a symmetric probability distribution that is used when the population standard deviation is unknown. It is used in situations where there is a small sample size (less than 30) and the sample is drawn from a normally distributed population. In this case, the owner is interested in developing a 90% confidence interval estimate, so the critical value will be obtained from the Student's t-distribution.
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Calculate the number of distinct subsets and the number of distinct proper subsets for each set. {a, b, c, d, e, f}
The set {a, b, c, d, e, f} has 2⁶ = 64 distinct subsets and 2⁶ - 1 = 63 distinct proper subsets.
A subset is any set of elements taken from a larger set. For example, {a, b} is a subset of {a, b, c}. A proper subset is any subset which does not contain all elements from the original set. For example, {a, b} is a proper subset of {a, b, c}, but {a, b, c} is not a proper subset of {a, b, c}.
To calculate the number of distinct subsets and proper subsets of a given set, we first need to determine the cardinality of the set (i.e. the number of elements it contains). In this case, the set contains 6 elements, so its cardinality is 6.
The number of distinct subsets for a given set is 2ⁿ, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct subsets is 2⁶ = 64.
The number of distinct proper subsets for a given set is 2ⁿ - 1, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct proper subsets is 2⁶ - 1 = 63.
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6. The costs for going to a dog beach are
$7 for 1 dog, and $2 for each additional
dog. Which equation shows this situation,
where x > 1?
A y = 2x + 5
Cy= 5x + 2
B y = 3x + 11 D y = 7x + 11
9514 1404 393
Answer:
A y = 2x + 5
Step-by-step explanation:
The cost per dog is the slope of the cost equation, 2. The equation can be written in point-slope form as ...
y -7 = 2(x -1) . . . . using the point (1, 7)
Simplified, this is ...
y = 2x -2 +7
y = 2x +5 . . . . matches choice A
Sally paid $2.40 for 4 ounces of cinnamon. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound
Answer:
$12.80 per pound
Step-by-step explanation:
Since there are 16 ounces in 1 pound, we multiply $0.80 by 16 ounces to find how much cinnamon costs per pound. The answer is $12.80.
Hope this helped, Have a Wonderful Day!!
Answer:
$9.60 per pound
Step-by-step explanation:
- 4 ounces = 2.40 each
- 2.40 x 4 (4 because 4x4 is 16 and there are 16 ounces in a pound)
= $9.60
A triangle has one angle that measures 40 and another that measures 38. What is the measure of the triangles third angle
Answer:
102°
Step-by-step explanation:
that's the answer because 40+ 38 = 78. then 180- 78 = 102. Remember that in tringles, all three angles should add up to 180°
in 250 explain the power of substitutes from porters 5
forces
The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.
The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.
The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.
To know more about Porter's Five Forces framework here: brainly.com/question/32990982
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