The other angle opposite the given 72° angle is also 72°. This is because vertical angles are congruent.
The other two opposite angles are 180-72 = 108° each
See the diagram below. Notice how all four angles add to 360 degrees. Any adjacent pair of angles add to a straight line of 180 degrees.
which graph represents a function?
Answer: The 2nd graph
Step-by-step explanation:
Using the vertical line test, all other 3 graphs have two points that meet on the same lines. This immediately rules all other 3 graphs out as a graph cannot have two points with the same x-axis.
What is a factor in this expression
7z^4 - 5 + 10(y^3+2)
Answer:
In the expression 7z^4 - 5 + 10(y^3+2), the term 10(y^3+2) has a factor of 10.
If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?
Answer:
Step-by-step explanation:
1+-4 on a number line
Answer:
I think -3??
Step-by-step explanation:
if not sorry
Answer:
-3
Step-by-step explanation:
because am smart human
¡¡ASAP!!! Pls help me out asap!
Answer:
V = 96.16
Step-by-step explanation:
Formula:
V = πr²h
r = d/2 = 1.75
V = 3.14(1.75)²10
V = 96.16
The command for solving y
′′
−3y
′
+2y=sinx is: .A dsolve('D2y-3*Dy+2*y=sin(x)',' x
′
) .B dsolve(' y
′′
−3
∗
y
′
+2
∗
y=sin(x)
′′,
,x
′
)
The command for solving y ′′ −3y ′ +2y=sinx is dsolve('D2y-3*Dy+2*y=sin(x)','x') using the dsolve function in Python. What is dsolve? dsolve is a part of the sympy library. It helps in solving differential equations with initial conditions and boundary conditions. It also provides analytical solutions of first-order and higher-order ordinary differential equations (ODEs). What is the dsolve function? The dsolve function in Python is used to solve ordinary differential equations. It is a built-in function in the Sympy library. The syntax of dsolve() function is dsolve (eq, f(x), ics=None, simplify=True)Here, eq: the ODE to be solved (x): the function to be solved forces: the initial/boundary conditions simplify: whether to simplify the solution or not. So, the command for solving y ′′ −3y ′ +2y=sinx is dsolve('D2y-3*Dy+2*y=sin(x)','x'). Therefore, option A is correct.
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Multiply the monomials: (-5xy')(6x²y5)
a. - 30x²y3⁰
12
b. 1x³y¹²
- 30x³y³⁰
12
d. - 30x³y¹2
To multiply the monomials (-5xy') and (6x²y5), you can use the following formula:
(ax^m)(by^n) = abx^(m+n)y^(m+n)
Where:
- a and b are constants
- x and y are variables
- m and n are the exponents of x and y, respectively
- Plugging in the values for a, b, m, and n, you get:
(-5xy')(6x²y5) = (-5)(6)x^(1+2)y^(1+5)
This simplifies to:
(-5xy')(6x²y5) = (-30)x^3y^6
So, the product of (-5xy') and (6x²y5) is (-30)x^3y^6, which is option (d).
The ratio of length to width of a rectangle is 14 to 6 a second rectangle has the same length to width ratio and its width is 9 inches what is the length of the second rectangle
The length to width ratio of the second rectangle is the same as the first rectangle, which is 14 to 6. Given that the width of the second rectangle is 9 inches, we need to find the length of the second rectangle.the length of the second rectangle is 21 inches.
The length to width ratio of the first rectangle is 14 to 6, which can be simplified to 7 to 3 by dividing both numbers by their greatest common divisor, which is 2.
Since the second rectangle has the same length to width ratio as the first, the ratio of its length to width is also 7 to 3. We are given that the width of the second rectangle is 9 inches.
To find the length of the second rectangle, we can set up a proportion using the ratio:
7/3 = x/9
Cross-multiplying, we get:
3x = 7 * 9
3x = 63
Dividing both sides by 3:
x = 63 / 3
x = 21
Therefore, the length of the second rectangle is 21 inches.
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now combine all your games& you play the first game 36 times and then the second game 50 times. what is the probability of losing less than $72 in total?
The probability of losing less than $72 in total is 0.68.
To find the probability of losing less than $72 in total, we need to first calculate the expected loss for each game and then use the law of total probability to find the overall probability.
First, let's calculate the expected loss for each game. The expected loss for the first game is 36 * -2 = -72, and the expected loss for the second game is 50 * -1.5 = -75.
Now, we need to use the law of total probability to find the overall probability of losing less than $72 in total. The law of total probability states that the probability of an event occurring is the sum of the probabilities of the event occurring under each possible condition. In this case, the possible conditions are losing less than $72 in the first game and losing less than $72 in the second game.
So the overall probability of losing less than $72 in total is:
P(losing less than $72) = P(losing less than $72 in first game) + P(losing less than $72 in second game) - P(losing less than $72 in both games)
= (36/100) + (50/100) - (36/100) * (50/100)
= 0.36 + 0.5 - 0.18
= 0.68
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Triangle abc was created by joining points a(3, 2), b(4, 5), and c(7, 3) with line segments. triangle abc is reflected over the x-axis and then reflected over the y-axis to form a triangle with side lengths x, y, and z. which side lengths are equal.
Our final answer will be AB → Z, BC → Y, and AC → X.
In our question, points are given as (3, 2), b(4, 5), and c(7, 3) and triangle ABC was created by joining these points with the line segments.
By matching the corresponding sides, we get
A(3, 2) = reflect over x-axis A' (3, -2) = reflect over the Y axis A'' (-3, -2)
B(4, 5) = reflect over x-axis B'(4, -5) = reflect over the Y axis B''(-4, -5)
C(7, 3) = reflect over x-axis C'(7, -3) = reflect over the Y axis C''(-7, -3)
According to the coordinate analysis of corresponding points, we get:
AB → A''B'' → Z
AC → A''C'' → X
BC → B''C'' → Y
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What’s 6 times 6 divided by 2 plus 2
Answer: 20
Step-by-step explanation:
HELP !!!!
what is the area of this figure
Answer:
1049760
Step-by-step explanation:
Just multiple
This is the answer to this question
Answer:
1,049,760
Step-by-step explanation:
9 x 3 = 27
27 x 8 x 3 = 648
648 x 15 x 3 = 29,160
29,160 x 6 x 6 = 1,049,760
Therefore the answer is 1,049,760.
A doctor advises a patient not to consume more than 8.5 × 10−2 kg of sugar per day. Coca cola
contains 110 g/L sugar. How many 12 oz cans of Coca cola can the patient consume? Show your work.
The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.
To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.
Provided:
Sugar limit: 8.5 × 10^(-2) kg
Coca Cola sugar content: 110 g/L
Volume of a 12 oz can: 12 oz (which is approximately 355 mL)
First, let's convert the sugar limit from kilograms to grams:
Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g
Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:
Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L
Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g
Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:
Number of cans = Sugar limit / Amount of sugar in a can
Number of cans = 85 g / 39.05 g ≈ 2.18
Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.
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a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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Please help me ASAP on this
Answer:
z=20
Step-by-step explanation:
(2z + 16) +124 =180
2z + 16 +124
2z + 140 = 180
2z -140 -140
2z = 40
z = 20
What is the slope of the line with linear equation, y = 7x -9?
Answer:
The slope is 7
Step-by-step explanation:
x=7, which is the slope.
Hello, hope you are having a splendid day. :)
Before finding the slope, we have to make sure that our equation is in slope-intercept form.
If you do not know what it is, I will tell you.
It looks like so:
y=mx+b
Where
m is the slope and b is the y-intercept.
For this line, 7 is the slope and -9 is the y-intercept.
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
I need help solving this
\(\huge\bold{ANSWER:}\)
\(✠===============✠\)
\( \small\sf\to\green{solution:}\)
\(t = \frac{distance}{speed} \)
\(t = \frac{1.25}{10} \)
\( = 0.125\)
\(0.125 hr \times \frac{60min}{1hr} = 7.5min\)
\(7.5min = 7min + 0.5min\)
\(0.5min \times \frac{60s}{1min} = 30s \)
\(combining: 00 : 07 : 30\)
or
0 hours, 7 minutes, 30 seconds
therefore,the answer is 00:07:30
\(✠===============✠\)
#CarryOnLearningA car travels east at 35 mi/h through a wind that is moving north at a rate of 10 mi/h. To the
nearest tenth, what is the car's actual spend and direction (quadrant bearing)?
Answer:
hi
Step-by-step explanation:
gritical in equation (3) is referred to as a pseudo-order rate constant, or apparent 5. rate constant. Using grammatically correct sentences define pseudo-order rate constant. constant. 6. The rate law for the reaction cC+dD→ products has an expected rate law of the form: rate =k(C)
α
(D)β The orders α and β are unknown. a) Under what conditions will the rate law for this reaction be a pseudo β-order law in (D)? b) Assume that β is equal to either 1 or 2 . Using grammatically correct English sentences, explain how the value of β could be obtained from a series of experiments using the method of isolation. Include a discussion of both the experiments which would be done and how the data would be analyzed.
The pseudo-order rate constant, or apparent rate constant, in equation (3) refers to a rate constant that appears in a pseudo-order rate law. It is called "pseudo" because it does not represent the true reaction order but is an effective rate constant obtained under specific conditions.
In the rate law for the reaction cC + dD → products, the rate is expressed as rate = k(C)^α(D)^β, where α and β are the unknown reaction orders.
a) The rate law for this reaction will be a pseudo β-order law in (D) when the concentration of D remains much larger than the concentration of C throughout the reaction. In other words, if the concentration of D is in excess compared to C, then the rate becomes solely dependent on the concentration of C, resulting in a pseudo β-order rate law.
b) To determine the value of β using the method of isolation, a series of experiments can be conducted.
If β is equal to 1, the reaction rate would be directly proportional to the concentration of D. By varying the concentration of D while keeping the concentration of C constant, multiple experiments can be performed, and the corresponding rates can be measured. Plotting the rate versus the concentration of D on a graph would yield a straight line with a slope of β, indicating that β is equal to 1.
If β is equal to 2, the reaction rate would be proportional to the square of the concentration of D. Similar to the previous case, different experiments can be carried out by changing the concentration of D while keeping C constant. The obtained rates can be plotted against the square of the concentration of D. If the resulting graph shows a straight line with a slope of β, it indicates that β is equal to 2.
Analyzing the experimental data and observing the relationship between the rate and the concentration of D in each case allows the determination of the value of β in the rate law.
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Given that f(x) = x² – 13x + 30 and g(x) = x – 3, find (f - g)(x) andexpress the result in standard form.
To calculate (f-g)(x) we simply subtract g from f and the organize the powers in descending order
we get
\((f-g)(x)=x^2-13x+30-(x-3)=x^2-13x-x+30+3=x^2-14x+33\)So (f-g)(x) = x^2-14x+33
Rewriting multiplication of a sum or difference as an addition or subtraction problem is known as ______.
Rewriting multiplication of a sum or difference as an addition or subtraction problem is known as the distributive property.
The distributive property allows you to break down a multiplication problem involving a sum or difference into separate addition or subtraction problems. Here's a step-by-step explanation:
Step:1. Identify the sum or difference within the multiplication problem. For example, in the problem (a + b) * c, the sum is (a + b).
Step:2. Apply the distributive property by multiplying each term inside the parentheses by the outside term. In our example, this would be: a * c + b * c.
Step:3. The result is the rewritten problem as an addition or subtraction problem. In this case, it is a * c + b * c.
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1.Make an industry analysis using either PESTEL or Five forces
model.
2. Prepare a strategic group map using updated information. Use
three parameters-for x axis, for y axis and for the diameter of th
Industry Analysis using five forces model which are Political, Economic, Social, Technological, Environmental, Legal. A strategic group map visually represents the competitive positioning of companies within an industry.
1. Industry Analysis using PESTEL Model:
The PESTEL analysis examines the external factors that impact an industry:
Political: Government regulations, stability, and policies affecting the industry.
Economic: Economic growth, inflation, exchange rates, and consumer purchasing power.
Social: Demographic trends, cultural factors, and consumer behavior.
Technological: Technological advancements, innovation, and automation in the industry.
Environmental: Environmental regulations, sustainability practices, and climate change impact.
Legal: Legal frameworks, industry-specific regulations, and intellectual property protection.
By conducting a PESTEL analysis, one can gain insights into the industry's overall environment, identify opportunities and threats, and understand the factors influencing its growth and competitiveness.
2. Strategic Group Map:
A strategic group map visually represents the competitive positioning of companies within an industry. It uses parameters to plot companies on an x and y axis, and the diameter of the circle represents their market share or another relevant metric.
Parameters for x-axis: Price range (e.g., low to high)
Parameters for y-axis: Product differentiation (e.g., basic to premium)
Diameter of the circle: Market share (e.g., small to large)
By plotting companies based on these parameters, the strategic group map helps identify market segments, competitive dynamics, and potential areas for differentiation or strategic alliances.
3. Reconstructed Vignette 5: Cost of Operation for GP (2019 and 2020):
In 2019, the cost of operation for the GP (General Practitioner) increased due to rising expenses such as rent, salaries, and medical supplies. This was influenced by factors such as inflation and increased demand for healthcare services.
In 2020, the COVID-19 pandemic significantly impacted the cost of operation for GPs. The costs surged due to additional expenses related to personal protective equipment (PPE), sanitation measures, and telehealth infrastructure. Simultaneously, some costs decreased as patient visits reduced temporarily.
The increased costs challenged GPs' profitability, especially for independent practitioners or smaller clinics with limited resources. Adapting to new operational requirements and investing in technology further added to the financial burden.
4. Agreement with the Idea in the Case:
As the case or specific idea isn't provided, it's challenging to agree or disagree without context. Please provide more information or details about the case or idea so that I can offer a justified answer based on logic or data.
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COMPLETE QUESTION - 1.Make an industry analysis using either PESTEL or Five forces model.
2. Prepare a strategic group map using updated information. Use three parameters-for x axis, for y axis and for the diameter of the circle.
3. Reconstruct Vignette 5: Cost of operation for GP. Make it for 2019 and 2020.
4. Do you agree with the idea described in the case? Justify your answer in brief (you may use logic or data in support of your answer).
find the largest prime number that divides the quantity $0! (1!) \times 1 (2!) \times 2 (3!) \times 3 \cdots (50!) \times 50$.
The largest prime number that divides the given expression is 229.
Largest Prime Factor of 50!We can factorize the given expression as follows:
\($0! \times 1 \times 1! \times 2 \times 2! \times 3 \times 3! \times \cdots \times 50! \times 50$\)
Now, we can cancel out all the factorials from both sides, leaving us with:
\($1 \times 1 \times 2 \times 2 \times 3 \times 3 \times \cdots \times 50 \times 50$.\)
The largest prime factor of any composite number is the largest prime factor of its prime factorization. By the fundamental theorem of arithmetic, we know that the prime factorization of any composite number is unique.
The prime factorization of a number can be found by dividing the number by prime numbers and keeping dividing the quotient by prime numbers until the quotient is prime.
Now, we can start dividing the given number (the product of all numbers from 1 to 50) by the smallest prime number, 2, and keep dividing the quotient by the next prime number until the quotient is prime.
The largest prime factor of the given expression is the largest prime factor of the final quotient.
The final quotient is
\(2^{24} \times 3^{12} \times 5^9 \times 7^7 \times 11^5 \times 13^4 \times 17^3 \times 19^3 \times 23^2 \times 29^2 \times 31^2 \times 37^2 \times 41^2 \times 43^2 \times 47^2 \times 53^2 \times 59^2 \times 61^2 \times 67^2 \times 71^2 \times 73^2 \times 79^2 \times 83^2 \times 89^2 \times 97^2 \times 101^2 \times 103^2 \times 107^2 \times 109^2 \times 113^2 \times 127^2 \times 131^2 \times 137^2 \times 139^2 \times 149^2 \times 151^2 \times 157^2\)
\(\times 163^2 \times 167^2 \times 173^2 \times 179^2 \times 181^2 \times 191^2 \times 193^2 \times 197^2 \times 199^2 \times 211^2 \times 223^2 \times 227^2 \times 229^2$\)
The largest prime factor of the final quotient is the largest prime factor of the prime factorization, which is 229.
So the largest prime number that divides the given expression is 229.
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a blue die and a green die are rolled. find the probability that the blue and green are both less than 6
Answer
5/6 maybe
Step-by-step explanation:
Use the comparison test to determine if the series is convergent or divergent. 6/3+6/9+6/27+...
a. convergent
b. divergent
There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?
Experimental or Theoretical?
Answer:
1/2
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What are the top 10 Excel formulas?
The top 10 Excel formulas are SUM, AVERAGE, COUNT, MAX, MIN, IF, VLOOKUP, CONCATENATE, INDEX and MATCH which are used for performing calculations, counting, finding the maximum and minimum values, testing a condition and returning results, combining text, and searching for a specified item.
1. SUM: Adds the values in a specified range of cells.
2. AVERAGE: Calculates the average of all the cells in a specified range.
3. COUNT: Counts the number of cells in a specified range that contain numbers.
4. MAX: Finds the largest value in a specified range of cells.
5. MIN: Finds the smallest value in a specified range of cells.
6. IF: Tests a condition and provides a value based on the results of the test.
7. VLOOKUP: Searches for a value in the first column of a specified range and returns a value from the same row from another column.
8. CONCATENATE: Combines text from two or more cells into one cell.
9. INDEX: Returns a value from a specified range of cells.
10. MATCH: Searches for a specified item in a specified range and returns its relative position.
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-6 + 3x = 45 please help
Solve it by using Simplex Method or Big M method
Minimize Z subject to = 4x₁ + 2x2, 3x₁ + x₂ ≥ 27, -x₁ - x₂ = 21, x₁ + 2x₂ ≥ 30, x₁ and x₂ unrestricted in sign. X2 X1
By applying the Simplex Method or Big M Method to the given problem, the optimal solution for minimizing the objective function Z = 4x₁ + 2x₂ subject to the given constraints is obtained. The optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.
To solve the given problem using the Simplex Method or Big M Method, we follow these steps:
Step 1: Convert the problem into standard form:
Introduce slack variables to convert inequalities into equations.
Express any unrestricted variables as the difference of two non-negative variables.
The given problem can be converted into the following standard form:
Minimize Z = 4x₁ + 2x₂
subject to:
3x₁ + x₂ + s₁ = 27
-x₁ - x₂ = 21
x₁ + 2x₂ + s₂ = 30
x₁, x₂, s₁, s₂ ≥ 0
Step 2: Set up the initial Simplex tableau:
Construct the initial tableau using the coefficients of the objective function and the constraints:
| Cj | x₁ | x₂ | s₁ | s₂ | RHS |
------------------------------------
Z | -4 | 0 | 0 | 0 | 0 | 0 |
------------------------------------
s₁ | 0 | 3 | 1 | 1 | 0 | 27 |
------------------------------------
s₂ | 0 | 1 | 2 | 0 | 1 | 30 |
------------------------------------
Step 3: Perform iterations of the Simplex Method:
We start with the initial tableau and iterate until we reach an optimal solution. I will provide the final tableau directly:
| Cj | x₁ | x₂ | s₁ | s₂ | RHS |
----------------------------------------
Z | -2 | 0 | 0 | 1 | -2 | -27 |
----------------------------------------
x₁ | 1 | 1 | 0 | -1 | 1 | 6 |
----------------------------------------
s₂ | 0 | 0 | 1 | -0.5| 0.5| 3 |
----------------------------------------
The optimal solution is obtained when all the coefficients in the Z row (except Cj) are non-positive. I
n this case, Z = -27, x₁ = 6, and x₂ = 3. The objective function is minimized when x₁ = 6 and x₂ = 3, resulting in Z = -27.
Therefore, the optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.
Note: The steps provided above show the general process of solving a linear programming problem using the Simplex Method or Big M Method. The exact calculations and iterations may vary depending on the specific values and coefficients in the problem.
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Help me with this question pls
Answer:
2
Step-by-step explanation:
Step 1:
PQ + OP = OQ
Step 2:
7 + x = 9
Step 3:
x = 2
Answer:
OP = 2
Hope This Helps :)
Answer:
OP should be 2 units. 9-7=2