Answer: The answer is none of the above
Step-by-step explanation: I did it on khan academy
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph
Answer:
5/6 hours equivalent to 50 minutes
Step-by-step explanation:
Speed = distance / time
Speed = 2 7/10 miles per hour
Distance = 2 1/4 miles
Time = x hours
Speed = distance / time
2 7/10 = 2 1/4 / x
27/10 = 9/4 / x
Cross product
27/10 * x = 9/4
27/10x = 9/4
Divide both sides by 27/10
x = 9/4 ÷ 27/10
= 9/4 × 10/27
= 1/2 × 5/3
= 5/6 hours
5/6 hours
= 5/6 × 60 minutes
= 50 minutes
Therefore, it will take Alex 5/6 hours equivalent to 50 minutes to walk to his school
Answer:
5/6
Step-by-step explanation:
your welcome :)
what type of query will allow you to see statistics by category?
To see statistics by category you would use an aggregate query or a group by query.
To see statistics by category, you would typically use an aggregate query or a group by query.
These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.
In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.
Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.
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If $1 is 3% and $2 is 7% and w1 is 0.1, beta of the portfolio is
The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.
The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.
To calculate the beta of the portfolio, we use the following formula:
β(portfolio) = (w1 * β1) + (w2 * β2) + ...
In this case, the portfolio contains two assets, so the formula becomes:
β(portfolio) = (w1 * β1) + (w2 * β2)
Substituting the given values:
β(portfolio) = (0.1 * 3%) + (0.9 * 7%)
β(portfolio) = 0.3% + 6.3%
β(portfolio) = 6.6%
Therefore, the beta of the portfolio is 6.6%.
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As an estimation we are told £3 is €4.
Convert £31.50 to euros.
Answer:42
Step-by-step explanation:
you just have to do a bit of division
Use given information to prove that angle DHF = EHG. Write in two-column proof.
After solving the equation the required solution is ∠DHG = ∠EHG
What is angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Given, ∠1 = ∠3
now,
∠DHF = ∠1 + ∠2
and, ∠EHG = ∠3 + ∠2
∠EHG = ∠1 + ∠2 (As ∠1 = ∠3)
Hence, ∠DHG = ∠EHG
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Can you list all the properties of a parallelogram ?
Answer:
1. the interior angle measure of a parallelogram is 360 degrees
2. diagonal of a parallelogram bisect it into two congruent triangles
3. opposite angles of a parallelograms are congruent
4. a parallelogram has two pairs of parallel sides.
5. consecutive angles of a parallelogram are supplementary
Step-by-step explanation:
1) Identify the mean, median, and range of the
data set below.
4, 8, 12, 15, 6, 9, 11
Mean:
Median:
Range:
Answer:
Mean: 9.2857142857143
Median: 9
Range: 11
Step-by-step explanation:
The mean is the average of the data set. Add all the numbers up then divide by the amount of numbers you had to start with.
The median of a set of data is the middlemost number. Order your set into least to greatest order then count inwards. If you have an even set or number then add both middle numbers and divide by 2.
The range of a set of data is the difference between the highest and lowest values in the set. Find your lowest and highest value numbers and subtract the lowest number form the highest one.
Use Newton's method to approximate a root of the equation 4x^7 + 3x^4 + 2 = 0 as follows. Let x1 = 2 be the initial approximation. The second approximation x2 is __________________ Preview and the third approximation x3 is _________________ Preview
The second approximation x₂ and the third approximation x₃ by applying the Newton's method is approximately 1.703 and 1.605 respectively.
To approximate a root of the equation 4x⁷ + 3x⁴ + 2 = 0
Using Newton's method, we start with an initial approximation x₁ = 2.
The formula for Newton's method iteration is,
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Let us calculate the second approximation, x₂
Given x₁ = 2, we need to evaluate f(x₁) and f'(x₁).
f(x) = 4x⁷ + 3x⁴ + 2
f'(x) = 28x⁶ + 12x³
Now, let us substitute these values into the iteration formula,
x₂ = x₁- f(x₁) / f'(x₁)
= 2 - (4(2)⁷ + 3(2)⁴ + 2) / (28(2)⁶ + 12(2)³)
Calculating this expression,
x₂
≈ 2 - (4(128) + 3(16) + 2) / (28(64) + 12(8))
≈ 2 - (512 + 48 + 2) / (1792 + 96)
≈ 2 - 562 / 1888
≈ 2 - 0.297
This implies,
x₂ ≈ 1.703
Now, let us calculate the third approximation, x₃
Using x₂ as the new approximation, we repeat the process.
x₃ = x₂ - f(x₂) / f'(x₂)
Substitute x₂ into the iteration formula.
x₃ ≈ 1.703 - (4(1.703)⁷ + 3(1.703)⁴ + 2) / (28(1.703)⁶ + 12(1.703)³)
Calculating this expression,
x₃ ≈ 1.703 - (4(5.904) + 3(4.573) + 2) / (28(11.215) + 12(5.904))
≈ 1.703 - (23.616 + 13.719 + 2) / (315.32 + 84.852)
≈ 1.703 - 39.335 / 400.172
≈ 1.703 - 0.098
≈ 1.605
Therefore, using Newton's method the second approximation x₂ is approximately 1.703, and the third approximation x₃ is approximately 1.605.
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what is -35/-7 in simplest form
-35/-7 can be simplified computing the division, that is, (-35) ÷ (-7) = 5
please answers this
Answer:
shusidvxxosbsbzbz
Step-by-step explanation:
usjzkdofjfbf
Answer:
50 degree for X look at pic attached
Can someone help me with this.
:)
Please could someone work this out
Suppose that f and g are continuous functions, ∫ 12
28
f(x)dx=23, and ∫ 12
28
g(x)dx=31. Find ∫ 12
28
[kg(x)−2f(x)]dx, where the coefficient k=4.
The value of integral ∫{Kg(x) - 2f(x)} dx is 134 .
Given,
∫f(x)dx = 28
∫g(x)dx = 45
Limit of f and g varies from 12 to 28 .
K = 4
Now,
∫{Kg(x) - 2f(x)} dx
We are given with g(x) and f(x) . Substitute the values of functions,
∫f(x)dx = 28
∫g(x)dx = 45
So,
K * 45 - 2 *23
Substitute the value of K =4
4 *45 - 2 *23
180 - 46
= 134
Thus the value of the integral is 134 .
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Correct question:
∫f(x)dx = 28
∫g(x)dx = 45
∫{Kg(x) - 2f(x)}
PLEASE HELP!!! I have no idea how to do this..
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x+1}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ (x+1)^2= 7^2 + x^2\implies (x+1)(x+1)= 49 + x^2 \implies x^2+2x+1=49+x^2 \\\\\\ 2x+1=49\implies 2x=48\implies x=\cfrac{48}{2}\implies x=24\)
The slope of a regression line measures how steeply the cost line rises as activity increases. Group of answer choices True False
The given statement "The slope of a regression line measures how steeply the cost line rises as activity increases." is true because the slope of a regression line represents the change in cost for each unit increase in activity.
True. The slope of a regression line is a measure of the relationship between two variables, and it represents the change in the response variable (y-axis) for each unit increase in the predictor variable (x-axis). In the context of cost and activity, the slope of a regression line represents the change in cost for each unit increase in activity.
A steeper slope indicates that costs are increasing more rapidly as activity increases, while a flatter slope indicates a less rapid increase in costs with increasing activity.
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f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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plz amswer this for me
Answer:
$5
Step-by-step explanation:
$14 x 30% (0.30) = $4.2
$14 + $4.2 = $18.2
\(\frac{18.2}{4}\) = 4.55
Round to the nearest dollar:
4.55 = 5
Describe in words a sequence of transformations that maps ABC to A'B'C'
Answer:
First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)
Step-by-step explanation:
Mrs. Wood is a librarian at Westside Library. In examining a random sample of the library's book collection, she found the following. 716 books had no damage, 68 books had minor damage, and 43 books had major damage. Based on this sample, how many of the 36,500 books in the collection should Mrs. Wood expect to have major damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Using proportions, it is found that Mrs. Wood should expect 1,898 books out of the 36,500 to have major damage.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For this problem, the proportion of books with major damage is:
43/(716 + 68 + 43) = 0.051995.
Hence, out of 36,500 books, the expected amount of books with major damage is:
0.051995 x 36,500 = 1898.
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in a In a school of 567 pupils 278 are boys.
What percentage are boys and what percentage is girls
Answer:
49% of the pupils are boys and 51% are girls.
Step-by-step explanation:
Alright, so first, you've got to find the total number of students: 567.
Now, to find the value of 1%, you divide 567 by 100, which will give you 5.67.
Next, you divide the number of male students by the value of 1%. That's 278 ÷ 5.67 = 49.0299823633157.
Subtracting that from 100% gives you 50.9700176366843 (percentage of girls)
Now, you can't write all that down, so you'll round it! 49.0299823633157 will round down, because 0 is less than 5, so it's 49%. 50.9700176366843 rounds up, because 9 is greater than 5, so that's 51%.
Therefore, 49% of the pupils are boys and 51% are girls.
I hope this helps!
In the driest part of an Outback ranch, each cow needs about 40 acres for grazing. Write and solve an equation to find how many cows can graze on 720 acres of land.
Answer: 18 cows
Step-by-step explanation: C = how many cows can graze on 720 acres of land. 40(C) = 720. 720/40 = 18 C = 18.
Answer:
40x = 720
x = 18
Step-by-step explanation:
x = number of cows
Round your answer to the nearest hundredth.
?
А
C
3
70°
B
Write this number in scientific notation.
0.0000071=
Answer:
7,1 × 10-⁶
Step-by-step explanation:
Once you move the comma 1 time by right (,) you have -1, so by moving it six times, you have 7,1 × 10-⁶
The sum of the measures of the angle of a quadrilateral is 360. quadrilateral JKLM has one right angle. Use angle relationships and the measures given below to find the measure of angle K
Answer:
angle k = 82°
Step-by-step explanation:
360 - (70 + 118 + 90)
360 - 278 = 82
angle m = 90
angle j = 118 vertical angles are congruent
angle l = 70 Supplemental angles add to 180 (180 - 110)
The diagonal of a rectangle is 18 cm 18cm more than its width. The length of the same rectangle is 9cm more than its width. Determine the width and length of the rectangle.
The width and length of the rectangle is 27 cm and 36 cm. respectively.
To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).
Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9
Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²
Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0
We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0
w = 27 or w = -9
The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36
Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.
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Please help me to solve this :
4/(x-4)+9/(3x-12)=18
Answer:
x=79/18
Step-by-step explanation:
A vegetable patch has marrows and parsnips planted in it. The ratio of marrows to parsnips is 5: 4. There are 360 vegetables in total. More marrows are planted so that the total number of marrows increases by 10%. What is the new ratio of marrows to parsnips in the vegetable patch? Give your answer in its simplest form.
The new ratio of marrows to parsnips in the vegetable patch is: 11:8
How to solve ratio word problems?We are told that the ratio of marrows to parsnips is 5: 4.
Thus, if there are 360 vegetables in total, then we can say that:
Number of marrows = (5/9) * 360
= 200 marrows
Number of Parsnips = (4/9) * 360
= 160 Parsnips
Now, we are told that the total number of marrows increases by 10%. Thus:
New total of Marrows = 200 * 1.1 = 220 marrows
Total number of vegetables = 220 + 160 = 380
Ratio of marrows = 220/380 = 11/19
Ratio of parsnips = 160/380 = 8/19
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Write 2.1 (periodic decimal, only 1 repeats) as a mixed number. Show your work.
Answer: 2 1/9 is the mixed number that is equivalent to 2.1111 repeating
Step-by-step explanation:
Try dividing 1÷9 on a calculator to get the decimal value of 1/9.
Then just keep 2 as the whole number in front of the fraction.
Which statement is not true about the line represented by the equation
PLZ HURRY
x + 2y = 14?
A,The slope is 1.
B.If x = 10, then y = 2
C.The y-intercept is (0, 7)
D. The x-intercept is (14, 0)
Answer:
A is false
Step-by-step explanation:
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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