Which of the following is a right Riemann sum for arctan(1 + xdx? k=1 © ( aretan (1 + 4) :) į (aretan (4+4) ) ©Ë (arctan ( 1 + **) :) © (aretan (2 + %). :) arctan 1+ .
The right Riemann sum for arctan(1 + xdx) is Σ[arctan(1 + iΔx)]Δx, where i ranges from 1 to n and Δx is the width of each subinterval. The correct answer among the options provided is (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx.
In a right Riemann sum, the function is evaluated at the right endpoint of each subinterval. Therefore, we add up the values of arctan(1 + iΔx) at the endpoints of the subintervals, where i ranges from 1 to n. The width of each subinterval is Δx, so we multiply the sum by Δx to get the approximate value of the integral.
The provided expression (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx satisfies the conditions of a right Riemann sum, where the function is evaluated at the right endpoint of each subinterval. Therefore, this is the correct option among the given choices.
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70 students per 2 teachers
Answer:
35
Step-by-step explanation:
70/2 is 35 therefore there is 35 students per teacher. Please mark brainliest
Answer:
35 students per 1 teacher
Step-by-step explanation:
if its not right im sorry
Which statement describes the effect on the parabola f(x)=2x²-5x+3 when its changed to f(x)=2x²-5x+1
Answer:
(B)
Step-by-step explanation:
there are 93 calories in a small cupcake. how many calories are there in a half dozen small cupcakes?
Answer:
6
Step-by-step explanation:
b + 4.8 = 8.09
b + 4.8 x = 8.09x
b =
g(x) = -2x2 + 3x - 9
Answer:
\( \sf \: b) \: - 9\)
Step-by-step explanation:
Given function,
→ g(x) = -2x² + 3x - 9
Now we have to,
→ Find the required value of g(0).
Then the value of g(0) will be,
→ g(x) = -2x² + 3x - 9
→ g(0) = -2(0)² + 3(0) - 9
→ g(0) = -2(0) + 0 - 9
→ g(0) = 0 + 0 - 9
→ [ g(0) = -9 ]
Hence, option (b) is correct.
Could someone help me answer this problem? It's so confusing and difficult, and I don't understand it. :((
Answer the question: If your team has the football on its own 40-yard line, what is the distance your team must travel to make a touchdown?
Tell how you came up with your answer and how a penalty on the next play might affect the distance to the goal line.
Answer:roughly around 70 yards since a whole foot ball field including the the touch down is about 120 yards I think
Step-by-step explanation:
Multiplying and Dividing Integers MC) What is the product of (−16)(−4)(−24)? −40 −44 −1,536 −448
The required product of the given product numeral is -1536. Option C is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
= (−16)(−4)(−24)
= 64(-24)
= -1536
Thus, the required product of the given product numeral is -1536. Option C is correct.
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If the rank of an 8×5 matrix A is 4 and the rank of a 5×8 matrix B is 2, what is the maximum rank of the 8×8 matrix AB?
Pick ONE option a)5
b)2
c)8
d)4
The correct option is b) 2. The maximum rank of the 8×8 matrix AB can be determined by considering the rank properties of matrix products.
The rank of a product of two matrices is at most equal to the minimum of the ranks of the individual matrices involved.
In this case, the matrix A is an 8×5 matrix with rank 4, and the matrix B is a 5×8 matrix with rank 2.
To find the maximum rank of the 8×8 matrix AB, we take the minimum of the ranks of A and B, which is 2.
Therefore, the maximum rank of the 8×8 matrix AB is 2.
So, the correct option is b) 2.
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The maximum rank of the product of two matrices is equivalent to the minimum rank of its component matrices. So in this case, the maximum rank of the 8x8 matrix formed by multiplying the two given matrices is 2.
Explanation:In the field of Mathematics, specifically Linear Algebra, the rank of a matrix product cannot exceed the minimum rank of its factors. In your case, you have an 8x5 matrix A with a rank of 4 and a 5x8 matrix B with rank 2. When you compute their product, yielding an 8x8 matrix AB, the maximum rank will be equal to the lesser rank of both component matrices A and B.
So, based on these facts, the answer to your question is that the maximum rank of the 8x8 matrix AB is 2, which corresponds to option b).
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Find the area 11cm,14cm,9cm,20cm
Answer:
27720
Step-by-step explanation:
multiple all of them 11x14x9x20 = 27720
1. how long is the hall which has a perimeter if 3480 cm and 300cm wide?
2. joe walks across the rotonda and travels 400meters, how many more meters will a car travel around it than the distance the pedestrian walk?
3.father will fence the rectangular yard with a length of 120m and a width of 100m,
how many meters of wire will her use for the fence?
Answer:
(3480 - 600)/2 = 1440cm
Step-by-step explanation:
Set up, but do not evaluate, an integral for the area of the surface
obtained by rotating
y = ln x, 1 ≤ x ≤ 3
about the x-axis
Therefore, the set up integral for the surface area is given as ∫[1, 3]2πln(x)√[1+(1/x)²]dx.
To obtain the area of the surface, obtained by rotatingy = ln x, 1 ≤ x ≤ 3about the x-axis, the integral must be set up as follows:
We have the curve given as y = ln x, with the limits of integration being 1 ≤ x ≤ 3.
To obtain the surface area obtained by rotating the curve around the x-axis, we need to apply the formula for surface area, which is given as:
S = ∫[a, b]2πy(x)√[1+(dy/dx)²]dxwhere y = ln x, a = 1, and b = 3
Substituting the given values, we get:S = ∫[1, 3]2πln(x)√[1+(dy/dx)²]dxFor √[1+(dy/dx)²], we need to take the derivative of y = ln x and square it as follows:dy/dx = 1/x (differentiating ln x)
Squaring this, we get:1+(dy/dx)² = 1 + (1/x)²
Substituting back into the integral, we get:S = ∫[1, 3]2πln(x)√[1+(dy/dx)²]dx= ∫[1, 3]2πln(x)√[1+(1/x)²]dx.
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Help plzzzz! I rlly need help asap
Answer:
x=0
Step-by-step explanation:
2x-9=0
2x=9
x=9/2
4x+10=0
4x=-10
x=-5/2
2(9/2)-9 =0
4(-5/2)+10=10
(Random question again)
(Logical Reasoning)
Which number should come next in the series, 48, 24, 12, ......?
a) 8
b) 6
c) 4
d) 2
Answer it if you can
help please i forgot how to do it, its easy tho
Answer:
answer is 20................................
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Mark randomly chooses a piece of fruit, eats it, then selects another. Find p(two oranges)
22 % probability of selecting 2 oranges from the fruits..
What is probability?A probability is the number of desired outcomes divided by the number of total outcomes.
The probability of choosing 2 oranges will be calculated as:-
Initially, there are 8+11+5+12 = 36 fruits, of which 12 are oranges.
The total number of the fruits is 36 and we have to choose 2 oranges
Then
\(P=\dfrac{8}{36}=0.22=22\%\)
Therefore there is a 22 % probability of selecting 2 oranges from the fruits..
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How far does a rider travel in one complete rotation around the Ferris wheel?
Use 3.14 as an approximation for Pi and round the second answer below to the nearest whole number.
If the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel.
The diameter of the Ferris wheel = 80 meters
The radius of the Ferris wheel = Diameter / 2
= 80/2
= 40 meters
The Total distance travelled by the rider in one revolution = The circumference of the wheel
The circumference of the wheel = 2πr
Where r is the radius of the wheel
Substitute the values in the equation
The circumference of the wheel = 2×3.14×40
= 251.2 meters
Hence, if the diameter of the Ferris wheel is 80 meters, then a rider will travel 251.2 meters in one complete rotation around the Ferris wheel
The complete question is :
If the diameter of the Ferris wheel is 80 meters, how far does a rider travel in one complete rotation around the Ferris wheel?
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Round 127.39 to the nearest whole number.
Answer:
127
Step-by-step explanation:
Since the digit after the point (tens digit) is less than 5, we will round down and get 127.
Answer:
127
Step-by-step explanation:
127.39 rounded to the nearest whole number is 127
So the 9 in the hundreths place rounds the 3 in the tenths place to a 4 but the 4 doent round the 7 in the ones place to an 8. And sice your at the ones you can stop with an answer of 127.
hope ths helps just let me know if you have any questions about my answer:P
What is -5/9 written in decimal form? EXPLAIN how you found your answer.
Answer: -0.56 (with a line over the 5)
Step-by-step explanation: I found my answer by dividing 5.000 by 9 which is 0.56. Then, I wrote a line over the 5, so that I don’t have to repeat the number 5, multiple times.
3[-2(8-13)] how to solve it
Answer:
3 times - 2,times 8-13
You solve the ones in the bracket first
(the rule of BODMAS)
So 8-13 first, then
-2times 8-13,then
Then you get your answer
A scale of a model of a new building was created for approval by the city. The scale of the model is 3 inches=20 feet. If the model is 5 feet tall, how tall is the actual building?
Answer:
400 feet
Step-by-step explanation:
real
1 feet = 12 inches
5 feet = 60 inches
scale
3 inches = 20 feet
60 inches=
60/3 = 20
20*20= 400
therefore 5 feet tall equall 400 feet
The actual length of the building will be 400 feet.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The scale of the model is,
⇒ 3 inches = 20 feet
Now,
Since, The scale of the model is,
⇒ 3 inches = 20 feet
And, The model is 5 feet tall.
Since, 1 feet = 12 inches
So, 5 feet = 60 inches
Here, The scale of the model is,
⇒ 3 inches = 20 feet
So, The actual length of the building = 60 × 20/3
= 400 feet
Thus, The actual length of the building = 400 feet.
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the number of bacteria in a petri dish is multiplied by a factor of 1.21.21, point, 2 every hour. there were initially 500500500 bacteria.
The number of bacteria After 3 hours, in the petri dish would be approximately 823,542,481.
To calculate the number of bacteria in the petri dish after a certain number of hours, you can use the formula:
Number of bacteria = Initial number of bacteria × (growth factor)^(number of hours)
In this case, the initial number of bacteria is 500,500,500 and the growth factor is 1.21.21, point, 2.
Let's calculate the number of bacteria after 1 hour:
Number of bacteria after 1 hour = 500,500,500 × (1.21.21, point, 2)^1
Number of bacteria after 1 hour ≈ 500,500,500 × 1.21.21, point, 2 ≈ 605,662,605
After 1 hour, the number of bacteria in the petri dish would be approximately 605,662,605.
If you want to calculate the number of bacteria after multiple hours, you can simply raise the growth factor to the power of the number of hours. For example, to calculate the number of bacteria after 3 hours:
Number of bacteria after 3 hours = 500,500,500 × (1.21.21, point, 2)^3 ≈ 500,500,500 × 1.21.21, point, 2 × 1.21.21, point, 2 × 1.21.21, point, 2 ≈ 500,500,500 × 1.64642042 ≈ 823,542,481
After 3 hours, the number of bacteria in the petri dish would be approximately 823,542,481.
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A geometric series begins with 500 and
decreases by 15% successively. choose
true or false for each statement about
the series.
a. the common ratio is 1.15.
o true o false
b. in the sum formula, a = 500 and
r=0.85.
true false
c the sum, if the series has 5 terms, is
1,854 (rounded to the nearest
integer).
o true false
d the sum, if the series has 9 terms, is
2425 (rounded to the nearest
integer).
true false
The statements about the given geometric series are as follows: a) False, the common ratio is 0.85. b) False, in the sum formula, a = 500, and r = 0.85. c) False, the sum, if the series has 5 terms, is not 1,854.
a) The common ratio of a geometric series is the factor by which each term is multiplied to obtain the next term. In this case, the series decreases by 15% successively, which means the common ratio is 1 minus 15% (or 0.85), not 1.15. Therefore, statement a is false.
b) The sum formula for a geometric series is given by S = \(a(1 - r^n) / (1 - r)\), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms. Given that a = 500 and the series decreases by 15%, the common ratio is 0.85. Therefore, the correct sum formula would be
S = \(500(1 - 0.85^5) / (1 - 0.85)\). Thus, statement b is false.
c) To calculate the sum of a geometric series with 5 terms, we can use the sum formula mentioned earlier. Plugging in the values, we find that the sum is not equal to 1,854 (rounded to the nearest integer). Therefore, statement c is false.
d) Using the sum formula, we can calculate the sum of the geometric series with 9 terms. Plugging in a = 500, r = 0.85, and n = 9, we find that the sum is approximately 2425 (rounded to the nearest integer). Hence, statement d is true.
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Find the volume of a cube that has a side length of:
6x²y5
Answer:
Are this form 1 question
Answer:
V= a³
V=(6x²y⁵)³
V= 216x⁶y¹⁵
Step-by-step explanation:
If U And V Are Orthogonal, What Is The Magnitude Of U Times V?
If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.
U and V are two orthogonal vectors.
since the angle between them is θ = 90⁰
let u and v be the magnitudes of the vectors U and V respectively.
so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:
U.V = uv cosθ
since these vectors are orthogonal so,
U.V = uv cos90⁰ = 0
And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.
|UxV| = uv sin θ
|UxV| = uv sin 90⁰ = uv
Therefore, U.V = 0, |UxV| = uv.
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The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 4 feet more than twice its height. If the area of the triangle is 48 square feet,
determine the length of the base and the height of the triangle in feet.
Height
The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let b represent the base of the triangle and h is the height, hence:
b = 2h + 4 (1)
Also, the area of the triangle is 48 square feet:
48 = (1/2)bh
96 = bh
(2h + 4)h = 96
2h² + 4h - 96 = 0
h = 6
b = 2(6) + 4 = 16
The length of the base and the height of the triangle in feet are 16 feet and 6 feet respectively.
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A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?
Answer:
No graphs was presented but its the last one shown in the photo
The leaf's height as a function of time is determined as h(t) = 12 - 0.25t - 4.9t².
Equation for the motion of the leaf
The equation for the motion of the leaf is calculated as follows;
h = vt + ¹/₂gt²
where;
h is the height of fallv is the initial velocityt is the time of motionThe leaf's height as a function of time is given as;
h(t) = 12 - 0.25t - 4.9t²
Due to presence of gravity, the decline in the height of the leaf will be gradual.
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29 points if u can help me with this!
Look for any properties used in these equations. Choose ALL equations that correctly apply properties of operations.
Answer:
B, C, and D
Step-by-step explanation:
B
C
D
Answer:
IT B, C, and D
Step-by-step explanation:
B, C, and D are the right answers. Mark me brainliest please.
A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?
Answer:
4.325 meters per second squared.
Step-by-step explanation: