Answer:
11x + 4y + 13
Step-by-step explanation:
You are combining like terms.
9x + 2x = 11x
5 + 8 = 13
30 points
Findlay spun the lucky wheel. The lucky wheel is divided into 9 sectors of equal size lettered A through I.
What is P(vowel or D)?
The probability of vowel or letter D is determined as 4/9.
What is P(vowel or D)?The probability of vowel or letter D is calculated by applying the formula for probability of an event as follows;
Mathematically, the formula for probability is given as;
P (E) = number of outcomes in event E / total number of outcomes in sample space
If the lucky wheel is divided into 9 sectors of equal size lettered A through I, the number of outcomes include the following;
number of outcomes = A, B, C, D, E, F, G, H, I
vowels in the outcome = A, E, I
letter D in the outcome = D
number of outcomes = {A, E, I} or {D}
P(vowel or D) = 3/9 or 1/9
P(vowel or D) = 3/9 + 1/9
P(vowel or D) = 1/3 + 1/9
P(vowel or D) = 4/9
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How do you rewrite a quadratic equation into standard form
f(x)=3(x-9)^2-144
By simplificatiοn, the quadratic equatiοn in standard fοrm is f(x) = 3x² - 54x + 99
What is a quadratic equatiοn?A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn οf the fοrm: ax² + bx + c = 0 where a, b, and c are cοnstants, and x is the variable. Quadratic equatiοns can have οne, twο, οr zerο real sοlutiοns, depending οn the values οf the cοnstants a, b, and c.
Tο rewrite a quadratic equatiοn in standard fοrm, we need tο expand the squared term and simplify the expressiοn sο that it is in the fοrm οf f(x) = ax² + bx + c where a, b, and c are cοnstants.
Starting with:
f(x) = 3(x-9)² - 144
We can expand the squared term using the fοrmula:
(a - b)² = a² - 2ab + b²
Sο:
f(x) = 3(x² - 18x + 81) - 144
f(x) = 3x² - 54x + 243 - 144
f(x) = 3x² - 54x + 99
Therefοre, the quadratic equatiοn in standard fοrm is:
f(x) = 3x² - 54x + 99
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Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
Can y’all pls give me the answers
Answer:
A:0.11 B:I can't a diagram in here
Scientists in Florida are measuring the masses of sea turtles as they hatch. They create a line graph and plots the masses of 18 turtles, rounded to the nearest 1/4 of an ounce.
Answer:
36 3/4
Step-by-step explanation:
12 1/4 + 12 1/4 + 12 1/4 = 36 3/4 :)
Answer:
36 3/4
Step-by-step explanation:
12 1/4 + 12 1/4 + 12 1/4 = 36 3/4 :)
Elementary and middle school groups typically run for __________, depending on administrator and teacher support for allowing students to miss class for the group sessions.
Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator and teacher support for allowing students to miss class for the group sessions.
What is elementary education?
Elementary education, can as well be described as the primary education, which is the first stage of education that is followed in the traditional formal education, children at about age 5 to 7 are those that are usually found in the elementary seetings of school.
Its should be noted that Elementary and middle school groups typically run for 6 to 8 weeks, depending on administrator .
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Help will mark brainliest
Answer:
c.
brainliest please? <3
Step-by-step explanation:
One angle of a right triangle measures 7º. What is the measure of the other acute angle?
Let other be x
Using angle sum property
\(\\ \rm\Rrightarrow x+7+90=180\)
\(\\ \rm\Rrightarrow x+97=180\)
\(\\ \rm\Rrightarrow x=180-97\)
\(\\ \rm\Rrightarrow x=83°\)
Have you heard about Newton's Revenge, the new roller coaster? It is so big, fast, and scary that rumors about it
are already spreading. Some people are worried about the tunnel that thrills riders with its low ceiling.
The closest the ceiling of the tunnel ever comes to the seat of the roller-coaster car is 200 cm. Although no
accidents have been reported yet, it is said that very tall riders have stopped riding the roller coaster.
where is the roller coaster
Two numbers are in the ratio of 5:4, and their sum is 261 then
what will be the smaller number?
Answer:
116
Step-by-step explanation:
5:4:9
? :?:261
261 x 4 all divided by 9 = 116
Update me whether it's right or wrong!
a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)
Answer:
bobo ka ba
Step-by-step explanation:
name!https://youtu.be/vA3qDEMnB5k
3. Dara went on vacation to New York City
in 2012. She bought a $20 pass to ride
the subway. Each time she rode the
subway it cost her $2.25. If she rode the
subway 7 times, how much money was
left on her pass at the end of her trip?
A $2.25
C $8.50
B $4.25
D$15 75
What does it mean when we say earth experiences the greenhouse effect?
The greenhouse effect is a natural process that occurs on Earth, where certain gases in the atmosphere, known as greenhouse gases, trap heat from the sun.
This trapped heat warms the planet's surface, making it habitable for life. Greenhouse gases include water vapor, carbon dioxide, methane, and nitrous oxide, among others. They function like a blanket around the Earth, allowing sunlight to enter but preventing some of the heat from escaping back into space.
The greenhouse effect is essential for maintaining Earth's temperature at a level that supports life. However, human activities such as burning fossil fuels, deforestation, and industrial processes have increased the concentration of greenhouse gases in the atmosphere, leading to a more intense greenhouse effect. This enhanced greenhouse effect is causing global temperatures to rise, resulting in climate change and various negative impacts on ecosystems and human societies.
In summary, the greenhouse effect is a natural process that helps regulate Earth's temperature, making it suitable for life. It becomes a concern when human activities increase greenhouse gas concentrations, leading to an enhanced greenhouse effect and climate change.
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please help me with question 21
Using the central angle theorem, we can find the arm length of BD to be 118units.
Option C is correct.
Define central angle theorem?The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.
Here in the question,
Length of the arc AC = 59.
As we can see that there is a quadrilateral inscribed inside the circle.
Arc AC = 1/2 arc BD
⇒ arc BD = 2 × arc length AC
⇒ arc BD = 2 × 59
⇒ arc BD = 118.
Therefore, the length of the arc BD = 118 units.
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Using the central angle theorem, we can find the arm length of BD to be 118units.
Option C is correct.
Define central angle theorem?The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.
Here in the question,
Length of the arc AC = 59.
As we can see that there is a quadrilateral inscribed inside the circle.
Arc AC = 1/2 arc BD
⇒ arc BD = 2 × arc length AC
⇒ arc BD = 2 × 59
⇒ arc BD = 118.
Therefore, the length of the arc BD = 118 units.
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Question 1
Merlion LuxBus Pte Ltd provides point-to-point coach services between Singapore and various Cities in Malaysia. It competes based on differentiated luxury and on-time services. It owns a fleet of 12 buses, each with a capacity of only 24 passengers in a 2 is to 1 seating arrangement per row and up to 8 rows. This allows the seats to be nearly fully reclined with good leg room for passengers. Singapore is the hub of Merlion's operations. Point-to-point travel service means that buses will depart in the morning for a Malaysian city. The same buses will return to Singapore with Malaysian passengers in the evening. The COVID19 pandemic in 2020 and 2021 closed land travel between Singapore and Malaysia. This severely affected the business of Merlion. To cope with the downturn, they pivoted towards local tour services. With both countries now moving towards the endemic phase of COVID19 and opening up quarantine-free cross border travel, Merlion is now planning to revert to its core business of luxury point-to-point services between the 2 countries.
(a) State three (3) practical assumptions applicable to this particular linear programming (LP) problem.
(b) Develop an LP model to maximise daily profit for Merlion. Your model must be in the form of algebraic equations and inequalities all of which must be annotated. Define your Decision Variables, Objective Function and Constraints clearly.
(c) Solve the LP model using the Excel Solver software and present your Answer and Sensitivity Reports in their original formats generated by Solver. Show, also, the underlying Excel matrix model used to run Solver. You may screenshot this part of your answer. State explicitly how the buses will be deployed and the maximum profit achievable.
(d) Determine what the profit per passenger has to be for buses to be deployed to Malacca. Explain how you derive your answer. (e) How will Merlion’s profit be impacted if 2 buses were to break down on a given day. Explain your analysis.
A. Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.
B. LP Model: Decision Variables, Objective Function, Constraints.
C. set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.
D. it would not be feasible to deploy buses to Malacca.
E. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).
(a) Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.
Constant demand: The LP model assumes that the demand for Merlion's point-to-point coach services remains constant throughout the planning period. This means that the number of passengers traveling between Singapore and Malaysia is assumed to be consistent.
Fixed costs and prices: The LP model assumes that the costs associated with operating the buses, such as fuel, maintenance, and driver salaries, remain fixed. It also assumes that the ticket prices charged to passengers are constant and do not change based on factors like demand or competition.
Full utilization of capacity: The LP model assumes that all available seats on each bus will be filled by passengers. It does not account for scenarios where there might be empty seats due to insufficient demand or other factors.
(b) LP Model: Decision Variables, Objective Function, Constraints.
Decision Variables:
Let X i represent the number of buses deployed to city i, where i can take values 1 to n (n being the total number of cities in Malaysia).
Objective Function:
Maximize daily profit:
Maximize Profit = ∑(Revenue - Cost)
Constraints:
Capacity constraint for each city:
∑(X i * Seats per Bus) ≤ Total Available Seats
Demand constraint for each city:
X i ≥ Minimum Demand i
Non-negativity constraint:
X i ≥ 0 for all i
(c) Solution using Excel Solver:
Please provide the following information:
Total available seats
Seats per bus
Minimum demand for each city
Revenue and cost data
With the given input, I can help you set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.
(d) To determine the profit per passenger required for buses to be deployed to Malacca, we need to consider the revenue and cost associated with each passenger. Let's assume the revenue per passenger is R and the cost per passenger is C.
The profit per passenger can be calculated as follows:
Profit per Passenger = Revenue per Passenger - Cost per Passenger
To deploy buses to Malacca, the profit per passenger should be at least equal to zero or positive. If the profit per passenger is negative, it means that the cost per passenger is higher than the revenue per passenger, resulting in a loss for each passenger. In such a case, it would not be feasible to deploy buses to Malacca.
(e) If two buses were to break down on a given day, it would impact Merlion's profit because there would be a reduction in the number of available buses to transport passengers. This could result in a lower revenue as fewer passengers can be accommodated.
To analyze the impact on profit, you would need to consider the revenue and cost implications of operating with reduced capacity. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).
By estimating the revenue and cost changes based on the reduced capacity, you can compare the new profit with the original profit to determine the impact.
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is james scored a 40 on a test with a mean of 38 and the standard deviation was for whataburger z-score be
The value of z-score for James is 0.2
Step-by-step explanation:
From the formula of z-score we know that
z-score = individual score - mean / standard deviation
Given
James score = 40
Mean = 38
Standard deviation = 10 (missing in question)
To find
z-score =?
Let's put the values in the formula
z-score = 40-38/ 10
z-score = 0.2
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Help its a Math problem !! i am confused
Answer: D
Step-by-step explanation:
If you look at the quadratic formula, we see that b=5, a=5, and c=3.
So ax^2 + bx + c = 0 -> 5x^2 + 5x + 3 = 0
You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find the P(G and prime number). Write your answer as a fraction or a decimal
===========================================================
Explanation:
The only prime number of the list of values given is the value 13. This is because the only factors are 1 and 13. Something like 24 isn't prime because 2 is a factor.
The probability of rolling to get a prime number is 1/6 because there is one prime out of 6 total values listed.
The probability of spinning on "G" is also 1/6 because there is only one section labeled "G" out of 6 sections total.
Assuming both events are independent, we multiply the probabilities to get (1/6)*(1/6) = 1/36 which represents the probability of rolling a prime number and spinning on G.
Side note: 1/36 = 0.0278 = 2.78% approximately
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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Deltamath visual domain and range
The domain of a function are input values for which a function exists while the range of a function is the output values for which the given functions exists
The domain of a function are input values for which a function exists while the range of a function is the output values for which the given functions exist;
For example;
Given the function y = x - 3The domains are all the values of x for which the function exists. Since the function can exist for all real values, hence we say that the domain is on all real values.
The range are all the values of y for which the function exists. Since the function can exist for all real values, hence we say that the range is on all real values.
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What is the percent of change from 55 to 22?
Answer:
40 percent
Step-by-step explanation:
22/55 = 0.4
0.4 = 40%
check answer: 55 x 0.4 = 22
The aquarium estimated that they would need 520 cubic feet of water for a new exhibit. They got more fish than expected and actually needed 620 cubic feet of water. What was the percent error between the actual amount needed and the estimate? (Round your answer to 2 decimal places)
The percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.
What is percent error?
The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.
Let x be percent error in the quantity of water for aquarium. The estimated quantity of water was 520 cubic feet and the actual quantity of water was needed 620 cubic feet. Then x can be determined as:
\(x=\frac{Difference\;of\; water\; quantity}{Actual \;quantity\; of\; water} \times 100\)
\(=\frac{ 620-520}{620} \times100\\\\=\frac{100}{620} \times 100\\\\=16.13 \%\)
Therefore, the percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.
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PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!
3. Which information can always be read directly from an equation written in point-slope form?
A) The location of the X-intercept.
B) The location of 2(X,Y) coordinate points.
C) The location of a point on the line.
5. Which is the slope-intercept form of the equation y-9=3(x-1)
A) Y= -1/3x-3
B) Y= 3x+6
C) Y= 3x-12
Answer:
5. (B) Y= 3x+6Step-by-step explanation:
5.
\(y-9=3(x-1)\\y -9 =3x-3\\y= 3x-3+9\\y = 3x+6\\\\Slope-intercept form = y=mx+b\\\\y = 3x+6\)
Answer:
3. C
Step-by-step explanation:
Point slope form shows you the slope and point on the graph, NOT Y INTERCEPT
Hope this helps
As always comment if i made a mistake here
Find the area of a regular octagon with side length 6 cm
Answer:
173.82cm²
Step-by-step explanation:
A=2(1+2)a2=2·(1+2)·62≈173.82338cm²
Answer: 173.82cm²
Step-by-step explanation:
Given that zQ =zR and pv= PT, show that PQ = PR
Answer:
We have,
According to given figure.
PQ=PR(giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ≅ΔSPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
Using the formula for finding the simple interest, I = Prt, find the Interest earned in a savings account by depositing $9,800 for 15 months at 5% simple interest
let's recall that a year has 12 months, thus 15 months is really 15/12 of a year.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$9800\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases} \\\\\\ I = (9800)(0.05)(\frac{5}{4}) \implies I = 612.5\)
Solve for X. Help please
\(4x - 29 = 13 + 6 + 2x - 18 \\ 4x - 2x = 13 + 6 - 18 + 29 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15\)
Answer:
Step-by-step explanation:
13 + 6 + 2x - 18 = 4x - 29
2x + 1 = 4x - 29
1 = 2x - 29
30 = 2x
15 = x
Given that Ā = 5T-12], and B = 61 - 8], find 2A - 3B. Given that A = 3i+ 4 j, and B= 5i-12j, find A- B. Given that Ā= 2ī - 3j, and B = 5 + 7j, find a unit vector parallel to Ā.
A unit vector parallel to Ā is (2i - 3j) / sqrt(13).
To find 2A - 3B, we need to multiply each component of A by 2 and each component of B by -3, and then subtract the resulting vectors.
Given that A = 5T - 12 and B = 61 - 8, we have:
2A = 2(5T - 12) = 10T - 24
3B = 3(61 - 8) = 183 - 24 = 159
Now we can subtract these vectors:
2A - 3B = (10T - 24) - (159)
= 10T - 183
Therefore, 2A - 3B simplifies to 10T - 183.
Given that A = 3i + 4j and B = 5i - 12j, we can subtract these vectors to find A - B:
A - B = (3i + 4j) - (5i - 12j)
= 3i + 4j - 5i + 12j
= -2i + 16j
Therefore, A - B simplifies to -2i + 16j.
Given that Ā = 2i - 3j and B = 5 + 7j, to find a unit vector parallel to Ā, we need to divide Ā by its magnitude.
Magnitude of Ā = sqrt((2)^2 + (-3)^2) = sqrt(4 + 9) = sqrt(13)
To find the unit vector parallel to Ā, we divide Ā by its magnitude:
Unit vector parallel to Ā = (2i - 3j) / sqrt(13)
Therefore, a unit vector parallel to Ā is (2i - 3j) / sqrt(13).
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Find the range for the possible measure of the third side of a triangle given two sides?
4 cm, 6 cm
Range:
Answer:
The possible range of the measure of the third side is 2 < 3rd side < 10
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesLet us solve the question
∵ The measures of the two sides of a triangle are 4 cm and 6 cm
∵ The difference between their measures = 6 - 4 = 2 cm
∵ The sum of their measures = 6 + 4 = 10 cm
→ By using the rules above
∴ The measure of the third side is between 2 and 10
∴ 2 < the third side < 10
∴ The possible range of the measure of the third side is 2 < 3rd side < 10
If 2¹² = 1 K, 0.5 K = ?
what's the answer?
Answer:
Step-by-step explanation: If 2¹² = 1 K, then we know that 1 K is equal to 2¹², or:
1 K = 2¹²
To find out what 0.5 K is equal to, we can divide 1 K by 2, since 0.5 is half of 1. Therefore:
0.5 K = (1 K) / 2
Substituting 1 K with 2¹², we get:
0.5 K = (2¹²) / 2
Simplifying the expression on the right-hand side, we get:
0.5 K = 2¹¹
Therefore, 0.5 K is equal to 2¹¹.
Answer: 0.5 K is equal to 512.
Step-by-step explanation:
Since 2¹² = 1 K, we know that 1 K = 2¹². To find the value of 0.5 K, we can divide 1 K by 2: 1 K / 2 = 2¹¹
Therefore, 0.5 K = 2¹¹. Using the property of exponents, we can simplify this to:
0.5 K = 2¹² / 2 = 2¹¹
Hence, 0.5 K is equal to 512.