Attached as photo. Please help
By Euler's method the numerical approximate solution of the definite integral is 4.189 648.
How to estimate a definite integral by numerical methodsIn this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a) (1)
The steps of Euler's method are summarized below:
Define the function seen in the statement by the label f(x₀, y₀).Determine the different variables by the following formulas:The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the numerical approximate solution of the definite integral is 4.189 648.
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if X + Y = 212 and xy = 27 find the value of (x³+y³)
which of the following best describes the graph below?
The correct answer is the option A because in one-to-one functions, each y value corresponds to only one x value.
I ordered a shoe a few days ago and the seller provided me with the tracking number for the hoodie but through Grailed but USPS has been stuck on "We are preparing your order for shipment" and "Delivery information will be available once the carrier has the updates." What does this mean? Also when I put my tracking number in USPS's Package Tracker, the number doesn't exist in its system. Does anyone know whats going on? Thanks!
A certain brand of coffee comes in two sizes. A 12.3-ounce package costs $2.99 . A 33.9-ounce package costs $8.74 . Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
[tex]12.3 - 33.9 = 21.6 \div 10 = 2.16[/tex]
Find the intercepts of y=−7x+3
Answer:
X-intercepts:
[tex] (\frac{3}{7} ,0)[/tex]
Y-intercepts:(0,3)
Step-by-step explanation:
Hello!
given expression
[tex]y = - 7x + 3[/tex]
x-intercept is the point on the graph where y=0
solve
[tex] - 7x + 3 = 0 \\ - 7x = - 3 \\ x = \frac{3}{7} [/tex]
Thus, x-intercept
[tex]( \frac{3}{7} ,0)[/tex]
y-intercept is the point on the graph where x=0
solve
[tex]y = - 7(0) + 3 \\ y = 0 + 3 \\ y = 3[/tex]
Thus, y-intercept (0,3)
Hope it helps!
A man gave out $24000 to his three brothers A,B and C to be shared among themselves . If A takes twice as much as B and B is given one third of what C takes , how much did each of them receive?
Answer:
A = 8000
B = 4000
C = 12000
Step-by-step explanation:
$24000 = A,B and C
A = 2B
B = 1/3C
solve for the letter that gets described the most
that letter is B
A =2B
B = 1/3C -> C = 3B
24000 = A + B + C
24000 = 2B + B + 3B
24000 = 6B
B = 4000
A =2B = 8000
C = 3B = 12000
(3a to 3rd power - 5b to 3rd power) + ? 3/a + ? b to the 3rd power = (3/a + b to the 3rd power)
The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
How to solve Algebraic Fractions?
We want to solve the algebraic fraction equation given as;
3a³ - 5b³ + (3/a) + b³
Rearranging the algebra to get;
(3a³ + (3/a)) + b³ - 5b³
Factorizing out 3/a and simplifying gives;
(3/a)(a⁴ + a) - 4b³
This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
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graph 3/6 3/4 and 3/12 on a number line
The number line with the points 3/6, 3/4, and 3/12 graphed on it is attached.
When fractions are represented on a number line, we can plot them on a number line just like we do with whole numbers and integers. Parts of a whole are represented by fractions. As a result, fractions on the number line are represented by splitting a whole into equal parts, ranging from 0 to 1, and the number of those equal parts would match the denominator of the fraction.
To graph the given fractions on the number line, we first convert them to like fractions.
3/6, 3/4, and 3/12
= 6/12, 9/12, and 3/12, which are like fractions.
Now we divide the number line with the minimum mark as 1/12, the least fraction, with 12 as denominator.
Now, we can mark the points 6/12, 9/12, and 3/12, as shown.
Thus, the number line with the points 3/6, 3/4, and 3/12 graphed on it is attached.
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Which expression could represent the length of a rectangle that has an area equal to 4x2+12x?
there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
Which expression could represent the length of the rectangle?
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
In this case, we know that the area is:
[tex]A = 4x^2 + 12x[/tex]
We can factorize that expression into:
[tex]A = x*(4x + 12)[/tex]
So there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
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Polygon WXYZ is dilated by a scale factor of 3 with vertex W as the center of dilation, resulting in polygon W'X'Y'Z'. The coordinates of point W are (3,2), and the coordinates of point X are (7,5). Select the correct statement. A. The slope of W'X' is , and the length of W'X' is 5. B. The slope of W'X' is , and the length of W'X' is 15. C. The slope of W'X' is , and the length of W'X' is 15. D. The slope of W'X' is , and the length of W'X' is 5.
Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
What is the vertex about?The coordinates in the question were:
(3,2), and (7,5).
Then the slope of WX is:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
So m = [tex]\frac{{5} - 2 }{7-3} }[/tex]
=3/4
The length of WX is calculated by:
[tex]WX = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1}) ^ 2}[/tex]
[tex]\sqrt{(7-3)^2 + (5-2)^2} \\\\= \sqrt{25} \\\\= 5[/tex]
Since, The scale factor is = 3.
Hence, WX = 3 x 5 = 15
Therefore, Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
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Answer: slope 3/4 and length 15
Step-by-step explanation: plato
Find the critical value. Assume that the test is two -tailed and that n denotes the number of pairs of data. n =
20, α = 0.01
A) -0.570
B) 0.570
C) +0.447
D) +0.570
Using a calculator, the critical value for the t-distribution, with a confidence level of 99%, a sample size n = 20 and a two-tailed test is of Tc = 2.8609.
How to find the critical value of the t-distribution?It is found using a calculator, with three inputs, which are given by:
The confidence level.The number of degrees of freedom, which is one less than the sample size.The tail.In this problem, the inputs are given as follows:
Confidence level of 99%, as 1 - 0.01 = 0.99 = 99%.19 df, as 20 - 1 = 19.Two-tailed test, as stated in this problem.Hence, using a calculator, the critical value is of is of Tc = 2.8609.
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Which of the following are true statements about a 30 69 90 triangle? Check all that apply
By the 30 - 60 - 90 theorem the right options of the multiple choice question is:
A. The hypotenuse is twice as long as the shorter leg.
D. The longer leg is √3 times as long as the shorter leg.
What are the properties of a 30 - 60 - 90 right triangles
In this problem we must look for the right choices in a multiple choice question. According to the Euclidean geometry, 30 - 60 - 90 have the following properties:
The length of the hypotenuse is √3 / 2 times as long as the longer leg.The length of the hypotenuse is twice as long as the shorter leg.The length of the longer leg is √3 times as long as the shorter leg.Thus, the right options of the multiple choice question is:
A. The hypotenuse is twice as long as the shorter leg.
D. The longer leg is √3 times as long as the shorter leg.
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sin^4x rewrite the power as a product of two squared terms
sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
How to rewrite the expression?The sine expression is given as
sin^4x
The above means
sin x raised to the power of 4
This in other words, the expression is represented as
(sin(x))^4
Express 4 as 2 + 2
(sin(x))^(2 + 2)
Apply the law of indices
(sin(x))^2 * (sin(x))^2
This gives
sin^2(x) * sin^2(x)
Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
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Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below:
Number of Pages (
x
) Cost(
y
)
322 41.2
895 103.5
232 22.2
618 74.8
394 51.4
814 89.4
884 97.4
919 89.9
929 109.9
A student calculates a linear model
y
=
x
+
. (Please show your answers to at least 4 decimal places)
Use the model to estimate the cost when number of pages is 407.
Cost = $
(Please show your answer to 2 decimal places.)
By using the linear function which models the data in the given table, the cost of a textbook with 402 pages is equal to $47.4478.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = 0.1057x + 4.9564
If x = 402, then y is given by:
y = 0.1057(402) + 4.9564
y = 42.4914 + 4.9564
y = $47.4478.
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30 points!
based off of the chart,
- what is the probability of mint chocolate chip or female
- what is the probability of cookie and cream and vanilla
Using the probability concept, we have that:
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 35 people, out of which 17 are female and 5 are male that prefer mint chocolate chip, hence:
p = (17 + 5)/35 = 22/35 = 0.6286.
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.
Out of the same 35 people, 11 people prefer cookie and cream and 2 people prefer vanilla, hence:
p = (11 + 2)/35 = 13/35 = 0.3714
There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.
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All pies at the baked goods booth were cut into eighths. When Justina Hartley’s sift in the boot began, there were eight and one forth pies waiting to be sold. At the end of her shift there were only five pieces of apple pie left. How many pieces of apple pie were sold during Justina’s shift?
Answer: 3 1/4
Step-by-step explanation: you started with 8 1/4 subtract the 1/4 now ur left with 8-3 which equals 5
Graph the solution set of the system of inequalities. 2x - 6y≤ 12 4x-2y > 8 Use the graphing tool to graph the system. Click to enlarge graph.
The graph is shown in the attached image.
Solve.
|7x -5| = |8x -4
Answer:
9/25 or -1/11
Step-by-step explanation:
2 outcome
1; 7x-5=18x-4
2;-(7x-5)=18-4
which theorem can be used to show that LABC is to LDEC
Find the area of the trapezoid
Answer:
[tex]52\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(11+15)(4\sqrt{3})=52\sqrt{3}[/tex]
Describe at least two differences between constructing parallel lines and constructing perpendicular lines
Answer:
Step-by-step explanation:
parallel lines are the same so they dont touch u-u
perpendicular lines do touch eachother and intersect
The required two differences between constructing parallel lines and constructing perpendicular lines are,
1) Constructing parallel lines never intersect each other while perpendicular lines intersect each other.
2) Constructing Perpendicular lines make an angle of 90° with each other at the point of the intersection. while parallel lines do not have angles with each other.
Parallel lines are defined as the pair of lines in which points on both the lines are equidistant from each other, and the line never intersects each other.
The differences between constructing parallel lines and constructing perpendicular lines are as follows.
1) Constructing parallel lines never intersect each other while perpendicular lines intersect each other.
2) Constructing Perpendicular lines make an angle of 90° with each other at the point of the intersection. while parallel lines do not have angles with each other.
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Which sequence has a common difference of -8?
{63, 71, 79, 87, 95, …}
{800, 8, 12.5, 1.5625, …}
{536, 528, 520, 512, 504, …}
{1, -8, 64, -512, 4,096, …}
I just need to know what the answer is
Answer:
C
Step-by-step explanation:
pls help a gurlll out
Answer:
x = 15°
Step-by-step explanation:
165 and x are on a straight line which means they are supplementary.
Set up the equation and solve for x:
165 + x = 180
x = 180 - 165
x = 15
PLEASE HELP Find the value of x.
X
15
12
Answer: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
Show all work to write the expression in simplified radical form:
[tex](8x)^{\frac{2}{3}}[/tex]
(Eight x to the two thirds power)
Answer:0.08333333....
Step-by-step explanation:
Answer:
4x²
Step-by-step explanation:
Normally you would use the exponent → roots rule, but this one simplifies easier without that
[tex](8x)^{\frac{2}{3} }[/tex]
8 = 2³
so [tex](8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}}[/tex]
then the threes cancel, since one is a 3 and the other one is [tex]\frac{1}{3}[/tex]
so [tex](8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}} = (2x)^2[/tex]
then just square the 2 and the x
[tex](8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}} = (2x)^2 = 4x^2[/tex]
Part 2 - Find the error(s) and solve the problem correctly.
Convert the polar equation to rectangular form and identify the graph. Support your answer by sketching the graph. Show and explain your work.
r = − 4 cos θ
Answer:
Cosine graph reflected over x-axis with amplitude 4
Comparing A and B we find the value of the variables as
x = radius
Centre (-2,0)
Radius 2
The sketch of the image is attached below
What is sketching the graph?Generally, the equation for is mathematically given as
x = -4 cos -(i)
Multiply -(i) both sides by & we
x^2= -4xcos\theta
We know that and
x= x cos\theta
y = rsino
x² + y² = x² (cos²∅ + sin²∅).
x² + y² = x² ....sin² ∅ + cos 2∅=1
so, putting rates in (ii) we get
x²+y² = -4x
x²+4² +4 + y²=4
(2 + 2)² + y² =4
The rectangular form of
x = -4cos∅ is (x + 2)² + y² = 4 ---- A
We can see that A is a graph of circles. The general equation of a circle is
= (x-h)² + (y)² = x² ----B
where (h, k) = centre
Comparing A and B we find
x = radiusCentre (-2,0)Radius 2Read more about rectangular form
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) The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to the find the critical values corresponding to a 0.01 significance level used to test
the null hypothesis of ρs = 0.
A) -0.881 and 0.881
B) -0.881
C) -0.738 and 0.738
D) 0.881
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
How to determine the critical values corresponding to a 0.01 significance level?The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
Number of paired observations, n = 8Significance level = 0.01Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
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Solve the inequality for 3y+1 is less than -11 . Simplify your answer as much as possible.
MY LAST ONE PLEASE HELP
the inequality gives the 'y' value as -4
What is inequality?An inequality is a mathematical tool that compares two values, expressing when one is less than, greater than, or not equal to the other value.
For instance,
a ≠ b says that a is not equal to b
a < b says that a is less than b
a > b says that a is greater than b
From the information given, that 3y+1 is less than -11 . It can be expressed as;
3y + 1 ∠ -11
Let's collect like terms
3y ∠ -11 - 1
add like terms
3y ∠ -12
make 'y' the subject of formula
y ∠ -12/3
y ∠ -4
The inequality gives the 'y' value as -4
Thus, the inequality gives the 'y' value as -4
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