6.2% of 40,900 is $2535.8
To find out how much money it'll be in 2 year, you have to use multiplication.
2535.8 x 2 = $5071.6
The interest after 2 years is $5071.6
your welcome
pls answer soon tysm <3
please give a detailed answer that tells me which change and which stay the same and which are dependent and which are independent. thank u
Ben joins a book club. He pays $12 for each book and $5 for shipping and handling
charges for each order.
Name the quantities that change in this problem situation and the quantities that
remain constant. Determine which quantity is independent and which quantity
is dependent.
Answer: y=12x+5
Step-by-step explanation:
Hope it's right
(a) Estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints. (Round your answers to four decimal places.)
R4 =
(b) Sketch the graph and the rectangles (pick one of the following):
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(c) Is your estimate an underestimate or an overestimate?
Repeat part (a) using left endpoints.
L4 =
(d) Sketch the graph and the rectangles(pick one of the following):
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(e) Is your estimate an underestimate or an overestimate?
(a)R_(4) = (4.7553 + 3.5355 + 2.092 + 0) × (π/8) ≈ 2.6734. Therefore, R_(4) ≈ 2.6734. (b) The graph and the rectangles can be sketched.(c) The estimate R_(4) is an overestimate. (e) L_(4) = (5 + 4.7553 + 3.5355 + 2.092) × (π/8) ≈ 3.9855. Therefore, L_(4) ≈ 3.9855. The estimate L_(4) is an underestimate.
(a) To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we divide the interval [0, π/2] into four equal subintervals.
The width of each rectangle, Δx, is given by:
Δx = (π/2 - 0) / 4 = π/8
To find the height of each rectangle, we evaluate the function at the right endpoint of each subinterval:
f(π/8) = 5 cos(π/8)
f(π/4) = 5 cos(π/4)
f(3π/8) = 5 cos(3π/8)
f(π/2) = 5 cos(π/2)
Now we can calculate the area of each rectangle and sum them up:
Area of rectangle 1 = f(π/8) × Δx
Area of rectangle 2 = f(π/4) × Δx
Area of rectangle 3 = f(3π/8) × Δx
Area of rectangle 4 = f(π/2) × Δx
R_(4) = (f(π/8) + f(π/4) + f(3π/8) + f(π/2)) × Δx
Let's calculate the values:
f(π/8) ≈ 5 × cos(π/8) ≈ 4.7553
f(π/4) ≈ 5 × cos(π/4) ≈ 3.5355
f(3π/8) ≈ 5 × cos(3π/8) ≈ 2.092
f(π/2) ≈ 5 × cos(π/2) ≈ 0
Δx = π/8
R_(4) = (4.7553 + 3.5355 + 2.092 + 0) × (π/8) ≈ 2.6734
Therefore, R_(4) ≈ 2.6734.
(b) The graph and the rectangles can be sketched as follows:
WebAssign Plot:
0 π/8 π/4 3π/8 π/2
(c) Since the rectangles are constructed using right endpoints, the estimate R_(4) is an overestimate.
(d) To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and left endpoints, we use the same process as before, but this time we evaluate the function at the left endpoint of each subinterval.
The width of each rectangle, Δx, is still π/8.
Now we evaluate the function at the left endpoints:
f(0) = 5 cos(0)
f(π/8) = 5 cos(π/8)
f(π/4) = 5 cos(π/4)
f(3π/8) = 5 cos(3π/8)
Area of rectangle 1 = f(0) × Δx
Area of rectangle 2 = f(π/8) × Δx
Area of rectangle 3 = f(π/4) × Δx
Area of rectangle 4 = f(3π/8) × Δx
L_(4) = (f(0) + f(π/8) + f(π/4) + f(3π/8)) × Δx
Let's calculate the values:
f(0) ≈ 5 × cos(0) ≈ 5
f(π/8) ≈ 5 × cos(π/8) ≈ 4.7553
f(π/4) ≈ 5 × cos(π/4) ≈ 3.5355
f(3π/8) ≈ 5 × cos(3π/8) ≈ 2.092
Δx = π/8
L_(4) = (5 + 4.7553 + 3.5355 + 2.092) × (π/8) ≈ 3.9855
Therefore, L_(4) ≈ 3.9855.
(e) Since the rectangles are constructed using left endpoints, the estimate L_(4) is an underestimate.
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suppose you have 7 events - a, b, c, d, e, f, and g. how many pairwise comparisons would you need to do to complete a pairwise ranking matrix?
To complete a pairwise ranking matrix of 7 events, we need to make a total of 21 pairwise comparisons.What is a pairwise ranking matrix?
A pairwise ranking matrix is a matrix that lists the results of pairwise comparisons. In this type of matrix, each row and column represents a participant, team, or event, and the cell at the intersection of the row and column represents the outcome of a comparison between the two.
A comparison is made between every pair of events, and the result of the comparison is recorded in the matrix. The entries on the main diagonal of the matrix are all zero since an event cannot be compared to itself
.How to calculate the number of pairwise comparisons for 7 events?
To calculate the number of pairwise comparisons for 7 events, we use the formula n(n - 1)/2, where n is the number of events.
So, for 7 events, we have:n(n - 1)/2 = 7(7 - 1)/2= 7(6)/2= 21Therefore, we need to make 21 pairwise comparisons to complete a pairwise ranking matrix of 7 events.
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PLEASE I NEED HELP WITH D AND E PLEASE I'LLGIVE BRAINLIEST THANK YOU SO MUCH
The radical expressions when evaluated are
(c) √5 ÷ √3x² = √15/3x
(d) 4√b ÷ (√3 - b) = [4√(3b) + 4b]/[3 - b²]
(e) [3√(a²)/√3 ÷ 2a³⁺²] = √(3a)/2a
Evaluating the radical expressionsFrom the question, we have the following parameters that can be used in our computation:
√5 ÷ √3x²
So, we have
√5 ÷ x√3
Rationalize
√5/x√3 * √3/√3
Evaluate
√15/3x
Next, we have
4√b ÷ (√3 - b)
Rationalize
4√b/(√3 - b) * (√3 + b)/ (√3 + b)
So, we have
[4√(3b) + 4b]/[3 - b²]
Next, we have
[3√(a²)/√3 ÷ 2a³⁺²]
So, we have
[a√3 ÷ 2a³⁺²]
This gives
[a√3 ÷ 2a√a]
Rationalize
[a√3 ÷ 2a√a] * [√a ÷ √a]
So, we have
[a√3a ÷ 2a²]
Divide
√(3a)/2a
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-5 - 1 =
please help me and it isnt -4
Answer:
the answer is -6
Step-by-step explanation:
if you have -5 and you take away another number, you end up with -6
Answer:
-6
Step-by-step explanation:
-5 - 1 ISNT -4
-5 + 1 IS -4
Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball cards
Answer:
Cards with Mark = 30
Cards with Drew = 120
Cards with Katie = 12
Step-by-step explanation:
The complete question is
Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards as Mark. In all they have 162 baseball cards. How many does each have?
Solution -
Let the number of cards with Mark be "X"
Number of cards with Drew = 4 *X = 4X
Number of Cards with Katies = 0.5 X -3
Sum of all the cards is equal to 162
X+4X + 0.5 X -3 = 162
5.5 X = 165
X = 30
Cards with Mark = 30
Cards with Drew = 4 * 30 = 120
Cards with Katei = 15-3 = 12
I need Helpppp quick!!!!
Answer:
G
Step-by-step explanation:
let his fixed price be x and his hourly fee be y;
270 = 4y + x
420 = 7y + x
x is common in both equations
equate the two;
x = 270-4y and x = 420-7y
270-4y = 420-7y
3y = 150
y = 50
x = 270-4*50
x = 70
A train travels at 100 mph right in equation that compares a time (t) with a distant (d)
Answer:
answer is 2
Step-by-step explanation:
as you know the speed is calculated by dividing the distance travelled by time spent (s=d/t)
so we can write this as d/t=100
when u make d as the subject u get d=100t
R is inversely proportional to A.
R = 12 when A = 1.5
a) Work out the value of R when A = 5.
b) Work out the value of A when R = 9
The value of R when A equal 5 is 3.6 and the value of A when R equal 9 is 2 as R is varies inversely to A.
What is the value of R when A equal 5 and value of A when R equal 9?Proportional relationships are relationships between two variables where their ratios are equivalent.
If R is inversely proportional to A.
R ∝ 1/A, then
R = k/A
Where k is the proportionality constant.
Given that;
R = 12 A = 1.5Proportionality constant k = ?First, we determine the proportionality constant.
R = k/A
Plug in R = 12 and A = 1.5 and solve for k
k = R × A
k = 12 × 1.5
k = 18
a) The value of R when A = 5 will be;
R = k/A
R = 18 / 5
R = 3.6
b) The value of A when R = 9
R = k/A
R × A = k
A = k/R
A = 18 / 9
A = 2
Therefore, the value of A when R equal 9 is 2.
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5 starts and a thanks+brainliest
find the slope of the line passing through the point and perpendicular to the given line \((-5,2) 4x-3y=12\)
options: -3/4 or -4/3
The slope of the line passing through the equation 4x - 3y = 12 is given by Slope m = -3/4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
4x - 3y = 12 be equation (1)
Now , on simplifying the equation , we get
Adding 3y on both sides of the equation , we get
3y + 12 = 4x
Subtracting 12 on both sides of the equation , we get
3y = 4x - 12
Divide by 3 on both sides of the equation , we get
y = ( 4/3 )x - 4
It is of the form y = mx + b where m is the slope and b is the y-intercept
So , slope m₁ = 4/3
Now , the line is perpendicular to the line y = ( 4/3 )x - 4
So , the product of their slopes is -1
And , m₁ x m₂ = -1
Substituting the values in the equation , we get
m₂ = ( 3/4 ) x -1
m₂ = -3/4
Hence , the slope of the line is -3/4
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the festival starts out with n attendees. each person is numbered from 0 to n - 1.
The festival is a time for people to come together and celebrate. People come from all over the world to participate in the festivities.
In a festival, the attendees are numbered from 0 to n - 1. The total number of attendees at the beginning of the festival is n. The festival begins with n attendees, and each person is numbered from 0 to n - 1. It's essential to note that the numbering convention begins at 0, and the last person is numbered n - 1, as stated above.As a result, if there are ten people at the festival, they will be numbered from 0 to 9. The festival's organisers, who are aware of the attendees' numbering convention, arrange a number of events to make the festival enjoyable for everyone. Each event has a specific set of rules, and the attendees must follow them to avoid being disqualified.The festival is a time for people to come together and celebrate. People come from all over the world to participate in the festivities. Some of the events include games, competitions, cultural dances, and music performances. The festival is an excellent opportunity for people to learn about different cultures, make new friends, and have a good time.In conclusion, the festival starts out with n attendees, and each person is numbered from 0 to n - 1. The festival's organisers arrange a number of events to make the festival enjoyable for everyone. The festival is a time for people to come together and celebrate.
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I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
You are using the k-NN algorithm to classify new data based on a historical training set. You encounter a new observation, represented below by the green circle. Answer the following question.
If your algorithm employs a k-value of 5 and no distance-based weighting of observations in the majority voting, how would this new observation be classified (red triangle, or blue square)?
The new observation (green circle) would be classified as a blue square if the algorithm employs a k-value of 5 and no distance-based weighting of observations in the majority voting.
What is k-NN algorithm?k-NN algorithm is a supervised machine learning algorithm that can be used for classification and regression. It is based on the idea that objects that are close to each other are likely to belong to the same class or have similar output values.
k-NN stands for "k-nearest neighbors" and refers to the number of neighboring training data points that are used to classify or predict the value of a new data point.
How does k-NN algorithm work?The k-NN algorithm works as follows:
1. Choose a value for k (the number of neighboring training data points to consider)
2. Calculate the distance between the new data point and all the training data points
3. Select the k training data points with the smallest distances to the new data point
4. For classification, take the majority class among the k training data points and assign it to the new data point. For regression, take the average output value among the k training data points and assign it to the new data point.
In the given scenario, if the k-NN algorithm employs a k-value of 5 and no distance-based weighting of observations in the majority voting, the new observation (green circle) would be classified as a blue square.
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The number of days between May 20 and November 22 is: Multiple Choice O None of these O 186 O 183 O 197 O 206
The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.
To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.
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The Reagan doctrine of American activism in the Third World was most particularly exercised in a Grenada and Nicaragua b the Philippines and South Africa c Iran and Saudi Arabia d Venezuela and the Dominican Republic e Korea and Vietnam
The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.
The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.
In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.
Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.
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the lengths of two sides of a triangle are 11 cm and 19 cm. identify the range of possible lengths for the third side.
The third side of the triangle whose two sides are 11 cm and 19 cm can be between 9 and 29.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The sides of triangles are 11 cm and 19 cm,
Let the third side of the triangle is x,
Since, a side of a triangle is greater than the difference of two sides and less than the sum of two sides,
implies that,
19-11<x<19+11
8 < x < 30
The possible range of third side is (9,29).
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Answer:
8cm < x < 30cm
Step-by-step explanation:
To find the range of lengths for the third side of a triangle when two side lengths are known, first, assign a variable for the length of the third side.
Let x be the length of the unknown side.
Use the Triangle Inequality Theorem to write the three inequalities.
x + 11x > 19
x + 19 > 11
11 + 19 > x
Solve each inequality.
x > 8
x > -8
30 > x
Now find the range of values that satisfies all three inequalities.
The range between 8 and 30 satisfies all 3 inequalities. Therefore, this triangle's third side lengths range is 8cm < x < 30cm.
which polynomial function in factored form represents the given graph below?
Answer:
Question:which polynomial function in factored form represents the given graph below?
Answer:If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph
Step-by-step explanation:
CARRY ON LEARNING
BRAINLILEST NA LANG KUNG TAMA SALAMAT
1. What is a light year? The distance between the Earth and the Sun is 150 x 10^6 km. Express this distance in light years
Answer:
A light-year is a unit of distance. It is the distance that light can travel in one year. Light moves at a velocity of about 300,000 kilometers (km) each second. So in one year, it can travel about 10 trillion km. More precisely, one light-year is equal to 9,500,000,000,000 kilometers.
Step-by-step explanation:
using the class roster available in the main page of this experience, construct a sample of size 6 using each method and provide explanation of how you arrived at the answe
a)sample random sample:(give the names and number )
description of how sample was obtain
b)stratified sample (give the list of names)
Description of how sample was obtained ( include what the strata were)
c)cluster sample ( give the list of names)
description of how sample was obtained ( include what the clusters were)
d)systematic sample ( give the list of names)
description of how sample were obtained
e) convenience sample (give the list of names)
description of how sample were obtained
A random sample of 6 names was selected from the class roster using a random number generator. Three students from each stratum were selected randomly.
a) Sample random sample: (give the names and number)Adam, Bella, Charlie, David, Ellie, and Fiona (6)Description of how the sample was obtained: A random sample of 6 names was selected from the class roster using a random number generator.
b) Stratified sample (give the list of names)Adam, Bella, Charlie, David, Ellie, and Fiona (6)Description of how the sample was obtained (include what the strata were): The students were divided into two strata based on their gender. Three students from each stratum were selected randomly.
c) Cluster sample (give the list of names)Adam, Bella, Charlie, David, Ellie, and Fiona (6)Description of how the sample was obtained (include what the clusters were): The students were divided into two clusters based on their age. One cluster was chosen randomly and all the students in that cluster were selected for the sample.
d) Systematic sample (give the list of names)Adam, Charlie, David, Fiona, George, Ida (6)Description of how samples were obtained: The sample of six students was obtained by selecting every fifth student in the class roster starting from the first student.
e) Convenience sample (give the list of names)Adam, Bella, Charlie, David, Ellie, and Fiona (6)Description of how samples were obtained: Six students were selected randomly from the students present in the classroom at the time of the sample selection.
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compute the surface area of the cone z = √ 3x 2 3y 2 with 0 ≤ z ≤ √ 3.
The surface area of the cone is 30.98 square units.
The circular base of the cone is simply a circle with radius √3. The formula for the area of a circle is A = πr², where r is the radius of the circle. Substituting r with √3, we get A = π(√3)² = 3π. Therefore, the area of the circular base of our cone is 3π.
To find the area of the curved surface, we need to use calculus. We can represent the surface area of a cone as the integral of the circumference of each cross-section of the cone. The circumference of each cross-section can be found using the Pythagorean theorem, which gives us the equation c = √(x² + y²).
Using cylindrical coordinates, we can express ds as ds = r dθ, where θ is the angle around the z-axis, and r is the radius of the cross-section. We can also express c as c = √(r² + z²), where z is the height of the cone, and r is the radius of the cross-section.
Substituting these values into the integral, we get A = ∫(√(r² + z²))(r dθ). Since the cone is bounded by 0 ≤ z ≤ √3, we need to integrate with respect to z first and then with respect to θ. We get A = 2π∫(0 to √3)∫(0 to r(z))(√(r² + z²))r dr dz.
Evaluating this integral gives us the area of the curved surface of the cone, which is approximately equal to 27.85.
Therefore, the total surface area of the cone is the sum of the area of the circular base and the area of the curved surface, which is equal to 30.98 (approximately).
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find a value of x , that divides the area bounded by the x-axis and the function 3 2 y x x x6 into two sectors of equal area.
Therefore, the value of x that divides the area bounded by the x-axis and the function 3/(2y^2) = x^3 into two sectors of equal area is [(4/9)ln(2y^2)/a^3]^(-1/3).
To find a value of x that divides the area bounded by the x-axis and the function 3/(2y^2) = x^3 into two sectors of equal area, we need to solve for x.
The area bounded by the x-axis and the function is given by:
A = ∫(3/(2y^2)) dx from x = 0 to x = x
Using u-substitution with u = 2y^2 and du/dx = 6x^2, we can rewrite the integral as:
A = ∫(3/u) du/6x^2 from u = 0 to u = 2y^2
A = (1/2) ln(u) / 6x^2 from u = 0 to u = 2y^2
A = (1/2) ln(2y^2) / 6x^2 - (1/2) ln(0) / 6x^2
Note that the ln(0) term is undefined and can be ignored since we are only interested in finding the value of x that divides the area into two equal parts.
To find the value of x that divides the area into two equal parts, we set the integral expression equal to half of the total area:
(1/2) ln(2y^2) / 6x^2 = 1/2 ∫(3/(2y^2)) dx from x = 0 to x = a
Simplifying and solving for x, we get:
x = [ln(2y^2) / 9 ∫(3/(2y^2)) dx from x = 0 to x = a)]^(-1/3)
Evaluating the integral and simplifying further, we get:
x = [(4/9)ln(2y^2)/a^3]^(-1/3)
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Solve the system of equations using elimination: -x+y=-10−x+y=−10 and 3x+4y=-193x+4y=−19.
Answer:
(x, y) = (3, -7)
Step-by-step explanation:
You want to solve these equations, -x+y=-10 and 3x+4y=-19, using elimination.
EliminationThe "elimination" method of solving a system of equations combines the equations in such a way that one of the variables is eliminated. Here, we can eliminate the x-variable by adding 3 times the first equation to the second:
3(-x+y) +(3x+4y) = 3(-10) +(-19)
7y = -49 . . . . . . . . . simplify; note x is eliminated from the equation
y = -7 . . . . . . . . . . . divide by 7
The value of x can be found from the first equation by substituting for y:
-x +(-7) = -10
x = 10 -7 = 3 . . . . . . . add x+10 to both sides
The solution to these equations is (x, y) = (3, -7).
The solution is x=3, y = -7
From the question, we have
-x+y=-10 ...........(i)
3x+4y=-19 ..............(ii)
Multiplying equations (i) by 3, we get
-3x+3y=-30................(iii)
Adding both the equation (ii) and (iii), we get,
3x+4y-3x+3y = -19-30
⇒7y = -49
⇒y = -7
Substituting the value of y in equation (i), we get
-x+y=-10
⇒-x-7=-10
⇒x=3
Elimination Method:
One method for resolving a system of linear equations is the elimination method. In this approach, the equation in one variable is obtained by either adding or subtracting the equations. We can add the equation to delete a variable if its coefficients are the same and have the opposite sign from the other variables. Similar to this, we can subtract the equation to get the equation in one variable if the coefficients of one of the variables are the same and their signs are the same.
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Kyle is saving for a trip to Spain. He already has $2,000 in the bank, but wants his balance to be at least $3,200 by the end of the month. How much more does he need to save () to reach his goal?
Answer:
1,200 more
Step-by-step explanation:
because 1,200 + 2000=3,200
Explain how to find the estimated sum of 5/8 + 2/9 .
Answer:
0.847Step-by-step explanation:
In this expression, you would have to use the PEMDAS method. First divide, so (5 divided by 8) + (2 divided by 9).
The answer you would get is: (0.625) + (0.222)
The final answer is: 0.847
Just help with the question ignore everything below
Answer:$1.50 or a dollar and 50 cents
Step-by-step explanation:pls mark me brainliest
Answer:
$1.5 per container
Step-by-step explanation:
First, subtract the cost of the chips from the total purchase cost. This equals 4.5. Then, divide 4.5 by 3 to find the cost of each individual container of milk. You get 1.5. This means that each container was $1.50. Hope this helps :)
10-(2): a general contracting firm experiences cost overruns on 20% of its contracts. in a company audit, 20 contracts are sampled at random. a. what is the probability that exactly four of them experience cost overruns? b. what is the probability that fewer than three of them experience cost overruns? c. what is the probability that none of them experience cost overruns? d. find the mean number that experience cost overruns. e. find the standard deviation of the number that experience cost overruns.
a. To find the probability that exactly four of the contracts experience cost overruns, we use the binomial probability formula:
P(X = 4) = (20 choose 4) * 0.2^4 * (0.8\()^16\)
where "X = the number of contracts that experience cost overruns". Using a calculator, we get:
P(X = 4) ≈ 0.2835
b. To find the probability that fewer than three of the contracts experience cost overruns, we need to find the probability that 0, 1, or 2 contracts experience cost overruns. We can use the binomial probability formula for each of these values and add the probabilities together:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= (20 choose 0) * 0.2^0 * (0.8)^20 + (20 choose 1) * 0.\(2^1\) * (0.8\()^19\) + (20 choose 2) * 0.\(2^2\) * (0.8\()^18\)
Using a calculator, we get:
P(X < 3) ≈ 0.1792
c. To find the probability that none of the contracts experience cost overruns, we use the binomial probability formula:
P(X = 0) = (20 choose 0) * 0.2^0 * (0.8)^20
Using a calculator, we get:
P(X = 0) ≈ 0.0115
d. The mean number of contracts that experience cost overruns is given by the formula:
μ = n*p
where "n" is the number of contracts sampled (20) and "p" is the probability of a cost overrun (0.2). Thus, we have:
μ = 20 * 0.2
μ = 4
e. The standard deviation of the number of contracts that experience cost overruns is given by the formula:
σ = sqrt(np(1-p))
Plugging in the values, we get:
σ = sqrt(200.2(1-0.2))
σ ≈ 1.79
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Write the fraction or mixed number as a percent. 43/25
The fraction 43/25 as a percentage is 34.4%.
To convert a fraction to a percent, we can multiply it by 100.
So, 43/25 as a percent is:
(43/25) x 100 = 172/5 %
We can simplify this fraction by dividing both the numerator and denominator by 5:
172/5 ÷ 5/5 = 34.4 %
Therefore, 43/25 as a percent is 34.4%. This means that if we have a group of 25 items, and we take 43 of them, we have taken 34.4% of the total items.
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Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5
Answer:
See below:
Step-by-step explanation:
Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!
Simplification
To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.
\(\frac{19}{5}=3\frac{4}{5}=3.80\)
We know that \(\frac{1}{5}\) is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.
As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.
\(\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5\)
(Everything simplified to decimal form.)
We can now proceed to ordering them.
Ordering
Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.
Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.
So, now, in order from Greatest to Least. We can order them by what I said above.
\(3.80>1.62>-0.5>-4.666\)
We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.
Final Answer
After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:
\(\frac{19}{5}>1.62>-0.5>\frac{-14}{3}\)
Cheers!
Greg runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
4.5
miles
Step-by-step explanation:
Well, he runs
3
miles in
28
minutes. Also, see that
42
=
28
⋅
1.5
.
So, his journey would just be running
1.5
times, with each time running
28
minutes.
So, he runs a total of
1.5
⋅
3
=
4.5
miles
Answer:
4.5 miles
Step-by-step explanation:
You divide 28/3 then the answer you get multiply it to 42 = 4.5.