If y = 2cos(lnx). + 3sin(Inx) then Select one: 0 dy a 22 dy +r +y = 0 dx dx2 d'y x2 dy +2 dr2 dr y=0 o x2d²y dy dx + y To dx2 day 22 dy dr -y=0 dr2
Answers
Solution
Given
[tex]y=2\cos(\ln x)+3\sin(\ln x)[/tex][tex]\begin{gathered} \frac{dy}{dx}=\frac{-2}{x}\sin(\ln x)+\frac{3}{x}\cos(\ln x) \\ \\ \end{gathered}[/tex]Related Questions
A factory produces zips. Testing shows that for
every 6000 zips tested, approximately 0.01
are defective. Estimate the number of
defective zips in a batch of 6000.
A) 60
B) 600
C) 0.01
D) 6
This is a probability question! Urgent help please!
Answers
Answer:
A) 60 that's i know !!!
Step-by-step explanation:
A) 60
How do I solve this problem?
Answers
To solve this question we will compute the magnitude of each vector.
Recall that the magnitude of a vector
[tex]a\hat{i}+b\hat{j}[/tex]is:
[tex]\parallel a\hat{i}+b\hat{j}\parallel=\sqrt[]{a^2+b^2}.[/tex]Therefore, the speed of the first car is:
[tex]\parallel26\hat{i}+31\hat{j}\parallel=\sqrt[]{26^2+31^2}\text{.}[/tex]Simplifying the above equation we get:
[tex]\parallel26\hat{i}+31\hat{j}\parallel=\sqrt[]{676^{}+961}=\sqrt[]{1637}\approx40.46.[/tex]The speed of the second car is:
[tex]\parallel40\hat{i}\parallel=\parallel40\hat{i}+0\hat{j}\parallel=\sqrt[]{40^2+0^2}\text{.}[/tex]Simplifying the above equation we get:
[tex]\parallel40\hat{i}\parallel=\sqrt[]{40^2}=40\text{.}[/tex]Answer:
The first car is the faster car.
Speed= 40.46.
Find the zeros of the polynomial 15x + 5.
Answers
Find the zeros of the polynomial 15x + 5.
Equating to 0:
[tex]15x+5=0[/tex]Subtracting 5:
[tex]15x=-5[/tex]Dividing by 15 and simplifying by 5:
[tex]\begin{gathered} x=\frac{-5}{15} \\ x=-\frac{1}{3} \end{gathered}[/tex]There are 7 new books and 8 used books on a shelf.
Answers
Rewrite the following statement using a number in scientific notation.
My new music player has a capacity of 300 gigabytes. (Recall that giga means billion.)
Answers
Answer: My new music player has a capacity of 3 * 10^11 bytes.
Step-by-step explanation: giga=billion=10^9. 300 in scientific notation is 3*10^2. Since 3 is between 1 and 10. So 10^2 * 10^9=10^11.
How many ways can a three-person jury be selected from a pool of eleven people?
Answers
A three-person jury can be selected from a pool of eleven people in 165 ways.
What is meant by the term combination?A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the order of a selection is irrelevant. You can choose the items in any order in combinations. Permutations and combinations are often confused.We will employ the formula ⁿCₓ = n! / x! * (n - x)! to calculate combinations, where n is the total number of items and x represents the amount of items chosen at a time.For the given question;
The total number of person in the pool = 11.
The number of jury selected = 3.
Thus, the combination will be ⁿCₓ.
Where, n = 11 and x = 3.
¹¹C₃ = 11!/3!(11 - 3)!
Simplifying;
¹¹C₃ = 165
Thus, the number of ways in which three jury can be selected from 11 pool of members is 165.
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Which equation shows a slope of -5 and a y-intercept of (0,1)?
Answers
Where m is the slope and b is the y intercept.
So plug in the slope and y intercept
Y=-5x+1
As for the answer of the question in the picture, it is intercepting but not perpendicular.
If the 2 equations are parallel then the slope is the same with different y intercepts.
If the 2 equations are perpendicular the slopes would be the negative inverses of one another.
(Example: y=2x and y=-(x/2)+5 would be perpendicular to one another)
If the slope and y intercept are the same then it is the same line
Since it is neither of those it is intercepting but not perpendicular.
Yea thank I will need help
Answers
Solution
The diagram given is a right angle triangle
To find the value of x; we consider the relationship between the three sides.
Pythagoras theorem actually gave the relationship between the three sides of a right angle triangle.
By Pythagoras theorem;
[tex]\begin{gathered} x^2+8^2=13^2 \\ \\ \Rightarrow x^2=13^2-8^2 \\ \\ \Rightarrow x^2=169-64 \\ \\ \Rightarrow x^2=105 \\ \\ \Rightarrow x=\sqrt{105} \end{gathered}[/tex]x = 10.25
What is ab+ba?
and xz+zx
[tex]ab + ba[/tex]
Answers
Answers: 1) " 2ab ".
2) " 2xz ".
________________________
Step-by-step explanation:
ab + ba = ab + ab = 1ab + 1ab = (1+1)*ab = 2ab .
xz + zx = xz + xz = 1xz + 1xz = (1+1)*xz = 2xz.
________________________
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. Howmany slices of pears does she have to share with her teammates? Which equations can you use to solvethe problem?
Answers
Kylie has 5 pears and she divide each pear into 3.
So 1 pear will become 3 slices.
Then 5 pears will be 5 x 3 = 15 slices.
The answer is 15 slices
he equation you can use is :
umber of slices = 5 x 3
Answer:
The answer is 15
Please answer question 5 and 6.
5.Given the functions f(x)=-2x + 4 and g(x) = 2x- 8, find the value of x for which f(x) = g(x).
6.Graph the function
Answers
Based on the definition of the functions, the value of x if f(x) = g(x) is 3
How to determine the value of x?The equations of the functions are given as
f(x) = -2x + 4
g(x) = 2x - 8
It should be noted that the above equations are linear equations
From the question, we understand that the functions are equal
This means that, we have the following equation
f(x) = g(x)
Substitute the known values in the above equation
So, we have the following equation
-2x + 4 = 2x - 8
Collect the like terms in the above equation
So, we have
2x + 2x = 8 + 4
Evaluate the like terms in the above equation
So, we have
4x = 12
Divide both sides by 4
x = 3
Hence, the value of x such that the equations are equal is 3
Graph the functionsSee attachment for the graph of the functions
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Grade 8 Pre-Algebra B
07.03
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected ove
the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
Answers
Its A, A is congruent to B and B is congrument to c
The translation equation, often known as the vertical translation equation, is g(x) = f(x+k) + C.Because the triangles are not congruent, Figure B is not an exact replica of Figure A.
In what direction does a figure move on a coordinate grid?
An example of one of these is a translation. A geometric figure moves in the coordinate plane when it slides up, down, left, or right. The figure shifts its position but maintains its original orientation. Additionally, it maintains its size and shape.
The vertical translation equation, or the formula for translation, is g(x) = f(x+k) + C.
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Find each missing measure
Answers
Answer:
<U = 54
<T = 72
Step-by-step explanation:
Find the angle measures
The marks on the sides means the sides are the same length
That means the base angles have the same measurement
<S = <U = 54
The sum of the angles of a triangle equals 180
<S + <U + < T = 180
54 + 54 + < T =180
108 + < T =180
<T =180-108
<T = 72
Answer:
m<U = 54°
m<T = 72°
Step-by-step explanation:
According to the isosceles triangle theorem ( If two sides of a triangle are equal , then the angles opposite to these sides are also equal. ),
ST = UT
So,
m<S = m<U.
Given that,
m<S = 54°
So,
m<U = 54°
Also, we know that the sum of the interior angles of a triangle is added up to 180 degrees.
So,
m<S + m<U + m<T = 180°
54° + 54° + m<T = 180°
108° + m<T = 180°
m<T = 180° - 108°
m<T = 72°
The graph of the derivative of a function f crosses the x-axis 3 times. What does this tell you about the graph of f ?
Answers
Answer:
D. The function f has 3 horizontal tangent lines
Step-by-step explanation:
Well whenever any function crosses the x-axis, it means that the y-value is equal to zero.
In this case when the derivative passes the x-axis it indicates the tangent line corresponding to that x-value has a slope of zero, which when plotted is a horizontal line.
This means that the graph f has 3 horizontal tangent lines.
Answer:
D. The function f has 3 horizontal tangent lines
Step-by-step explanation:
i got 100%
In each figure, a is parallel to b. Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer. A line is reflected across line a, another line is reflected across line b to form a third line. a. Yes; it is one reflection after another with respect to the two parallel lines. b. No; it is a reflection followed by a translation. c. No; it is a reflection followed by a rotation. d. No; it is one reflection after another with respect to the two parallel lines. Please select the best answer from the choices provided A B C D
Answers
To determine whether the third figure is a translation image of the first figure, we say that; B: No; it is a reflection followed by a translation
How to Interpret Transformation of a figure?Transformation could be reflection, translation, rotation or even dilation.
Reflection can be thought of as the mirror image of a shape across a line.
Rotation is when one turns an object around a point
Translation is simply moving an object from one point to another without any change of dimension.
If we look at the given three figures in the attached image, we can see that the second image is the reflection or mirror image of the first figure.
After reflection, we can see that it is undergoes translation, which means it is moved apart from the first figure.
Thus, the third figure is a reflection of the first figure, and then it is translated.
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4 cups = ______ ounces
hint 1 cup = 8 ounces
Question 4 options:
2 oz
4 oz
12 oz
32 oz
Answers
Find the distance between (5, 10) and (8, 10)?
Answers
Answer:
3 units
Step-by-step explanation:
Only #15,17, and 19 please show work THANK YOU
Answers
The magnitude and direction of the vectors are
11. <0,4> :
Magnitude = 4
Direction = 90°
12. <-3,0>:
Magnitude = 3
Direction = 0°
13. <6,5>:
Magnitude = √(61)
Direction = 39.8°
14. <3,7>:
Magnitude = √58
Direction = 66.8°
15. <-2,1>:
Magnitude = √5
Direction = -26.57°
16. <-10,13>:
Magnitude = √(269)
Direction = -37.57°
17. <2,-5>:
Magnitude = √(29)
Direction = -68.2°
18. <8,-4>:
Magnitude = √(80)
Direction = -26.57°
19. <-4.-6>:
Magnitude = √(52)
Direction = 56.3°
20. <-1,9>:
Magnitude = √(82)
Direction = -83.66°
We are asked to find the magnitude and direction of the vectors given as <x, y>. We have the formulas for magnitude and direction of the vectors.
Magnitude = √(x²+y²)
and direction, θ = tan⁻¹(y/x)
11. The vector is <0,4>
Magnitude = √(0²+4²) = 4
Direction = tan⁻¹(4/0) = tan⁻¹∞ = 90°
12. The vector is <-3,0>.
Magnitude = √(-3²+0²) = 3
Direction = tan⁻¹(0/-3) = tan⁻¹0 = 0°
13.The vector is <6,5>
Magnitude = √(6²+5²) = √(61)
Direction = tan⁻¹(5/6) = 39.8°
14. The vector is <3,7>
Magnitude = √(3²+7²) = √58
Direction = tan⁻¹(7/3) = 66.8°
15.The vector is <-2,1>
Magnitude = √(-2²+1²) = √5
Direction = tan⁻¹(1/-2) = -26.57°
16.The vector is <-10,13>
Magnitude = √(13²+-10²) = √(269)
Direction = tan⁻¹(-10/13) = -37.57°
17.The vector is <2,-5>
Magnitude = √(2²+-5²) = √(29)
Direction = tan⁻¹(-5/2) = -68.2°
18.The vector is <8,-4>
Magnitude = √(8²+-4²) = √(80)
Direction = tan⁻¹(-4/8) = -26.57°
19.The vector is <-4.-6>
Magnitude = √(-4²+-6²) = √(52)
Direction = tan⁻¹(-6/-4) = 56.3°
20. The vector is <-1,9>
Magnitude = √(-1²+9²) = √(82)
Direction = tan⁻¹(9/-1) = -83.66°
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4x-3<-15 or 2x+4> 12
Answers
In given inequalities the value of x is x <-3 and x >4
What is inequalities ?Equations are not necessarily about having a "equal to" sign balanced evenly on both sides. It can occasionally refer to a "not equal to" connection, where one object is more than the other or less than. A connection that compares two numbers or other mathematical expressions in an unequal way is referred to as an inequality in mathematics. These mathematical statements are classified as inequalities in the algebraic language.
Given that :4x-3<-15 or 2x+4> 12
4x -3 <-15
4x < -12
x <-3
2x + 4 > 12
2x > 8
x >4
x <-3 and x >4
In given inequalities the value of x is x <-3 and x >4
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The figure shows JN and KM intersecting at pointL.What value of x proves JK || MN ?
Answers
If JK || MN, then angle JKM is equal 61;
Also, angle JLK = 39 degrees as it is opposite angle to MLN.
Thus;
[tex]\begin{gathered} 3x+5+39+61=180\ldots\ldots\ldots\ldots\text{.sum of angles in triangle JLK} \\ 3x+105=180 \\ 3x=180-105 \\ 3x=75 \\ x=\frac{75}{3} \\ x=25 \end{gathered}[/tex]Thus x= 25 proves that JK || MN
Here are two triangles.ABIs Triangle B a rotation of Triangle A? Explain your reasoning.HELP ASAPP
Answers
Answer
Triangle B is not a rotation of triangle A because on careful observation of this two triangles, one would see that they are mirror images of each other; reflections of each other.
A mental rotation of triangle A all through the 360° shows that at no point is it seeming exactly like triangle B.
This is why it is evident that triangle B is not a rotation of triangle A, rather, they are reflections of each other.
Hope this Helps!!!
A cell phone provider charges you
$35 a month for a phone plan and
charges $0.12 per MB of data used.
Write an equation in slope-intercept
form to represent the monthly price
as a function of the number of MB
used.
Answers
The equation, in slope-intercept form to represent the monthly price
as a function of the number of MB used is y = mx + c.
It is given in the question that the cell phone provider charges you
$35 a month for a phone plan and charges $0.12 per MB of data used.
Hence,
Total monthly charges = MB used*Charge per MB+ Fixed charge
Let y represents total monthly charges
x represents the charge per MB
m represents the MB used and,
c represents the fixed charge
Therefore, we can write the above equation as:-
y = mx + c
Hence the equation is written in the slope-intercept form.
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Mary earns $12 per hour, plus 10% commission on all her sales. Mary worked 10 hours and her sales were $1500. How much money did Mary earn?
Answers
12*10= 120
Mary’s sales were $1500 she earns 10% of 1500*.10=150
Mary earned $270
120+150= 270
Mary earns $12 per/ hr + 10% commission on all her sales.
Mary worked $10 hr
Her sales were $1500
Then,
Mary earns $12*10 = $120 ( working 10 hr)
She got commission 10 % on her sales of $1500
That is, 10% * 1500
= (10/100)* 1500
= $150
Therefore,
Her total earning is = $150 + $120
= $270
Find the volume and surface area of each prism one prism a 3 cm x 3 cm x 3 cm to prism beat 5 cm x 5 cm x 1 cm three compare the volume of the prisms and then there are surface areas does the prism with a greater volume also have the greatest surface area?
Answers
The volume of prism A and B are 27 cm³ and 25 cm³ respectively and the Surface area of prism A and B are 54 cm² and 70 cm² respectively.
No, the prism with a greater volume doesn't always have the greatest surface area.
What is the Volume and Surface Area of a Prism?The area that a prism takes up is referred to as its volume. A prism is a solid, three-dimensional structure with two identical faces and additional faces that resemble parallelograms. It is a polyhedron whose nomenclature is influenced by the various basic shapes. The total space filled by the flat faces of a prism is referred to as its surface area. Calculating the sum of the areas of all the faces (or surfaces) in a 3D plane, or the total space occupied by all the faces of the specific type of prism will yield the surface area of the prism.Given:
Prism B is a rectangular prism, whereas prism A is a cube.
The prism's volume is determined by
Volume = length × width × height
So, the Volume of prism A whose each side 3 cm is,
Volume of prism A = 3 × 3 × 3 = 27 cm³
Volume of prism B with sides 5 cm,5 cm, and 1 cm is
Volume of prism B = 5 × 5 × 1 = 25 cm³
The cube's surface area is 6a², where a is one of the cube's sides. So
Surface Area of prism A = 6 × (3)² = 6 × 9 = 54 cm²
Surface area of the rectangular prism is given by,
2(length × width + length × height + width × height)
Surface Area of prism B = 2(5×5 + 5×1 + 5×1)
= 2(25 + 5 + 5)
= 2 × 35 = 70 cm²
From the above calculations, it is clear that the prism with a greater volume doesn't always have the greatest surface area.
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which example are polynomials select each correct answer
Answers
Step-by-step explanation:
The bottom two expressions are polynomials.
Gregoria borrowed $2,450, to be paid back at 3.5% annual simple interest. She repays $3,221.75. How many years was the loan period?
Answers
The loan that was borrowed by Georgina was for a period of 9 years.
How to calculate the value?From the information, Gregoria borrowed $2,450, to be paid back at 3.5% annual simple interest. She repays $3,221.75. The Interest will be:
= $3,221.75 - $2,450
= $771.75
Therefore, the time taken for the loan will be expressed as:
Interest = PRT/100
where P = Principal
R = Rate
T = Time.
Interest = PRT/100
771.75 = (2450 × 3.5 × T) /100
Cross multiply
8575T = 77175
Time = 77175 / 8575
Time = 9
The time is 9 years.
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Eleanor owns a coffee shop.
She uses half a litre of mayonnaise each day.
Mayonnaise costs £2.45 for a 1 litre jar and £4.75 for a 2 litre jar.
Eleanor buys enough mayonnaise to last for 14 days.
What is the lowest price Eleanor can buy this mayonnaise for?
Show your working.
Answers
Mayonnaise cost of £4.75 for a 2 liter jar lowest price Eleanor can buy.
What is unitary method?This approach allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.
How to Apply the Unitary Method
Let's first list the data that we currently have. The number of ice creams is 5. It costs $125 for 5 ice creams.
step 1:Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.
Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.
Given:
Cots of 1 liter jar of Mayonnaise (I) = 2.45
Cost of 2 liter jar of Mayonnaise (II)=4.75
Cots of 1 liter jar of Mayonnaise (II)= 4.75/2= 2.375
If she eats half liter Mayonnaise in a day
So, she eat in 14 days = 0.5 x 14 = 7 liter
Hence, Mayonnaise cost of £4.75 for a 2 liter jar lowest price Eleanor can buy.
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Suppose the current cost of gasoline is $3.10 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value.
The current price index is _____
(Round to one decimal place as needed.)
Answers
on a recent trip a trucker traveled 220 miles at a constant rate because of road conditions the trucker then reduce the speed by 25 mph an additional 30 miles traveled at a reduced rate the entire trip took five hours find the rate of the tracker for the first 220 miles
Answers
55 mph
if we assume it takes an hour for the last 30 miles then the rest of the time the trucker could go 55
Answer to this question prove by induction
Answers
Answer:
solution: [tex]Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}[/tex]
Step-by-step explanation:
This is a geometric series. Common ratio is 4.