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y = 8.6 * cos(44.25)=
6.1602
Rounded to nearest hundredth = 6.16
Related Questions
Find the 5th term of the expansion of (x + y)9.
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so here we have 9C4 x^(9-4)y^4
= 126x^5y^4 Answer
Evaluate 4-(3+2)^2
A. -21
B. -9
C. 5
D. 1
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-19.78 is rational or irrational
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What is the solution of the equation when solved over the complex numbers?
x^2+24=0
x =
or x =
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[tex] {x}^{2} + 24 = 0 \\ (x - \sqrt{24})(x + \sqrt{24} ) = 0 \\ (x - \sqrt{4} \sqrt{6})(x + \sqrt{4} \sqrt{6}) = 0 [/tex]
[tex](x - 2 \sqrt{6})(x + 2 \sqrt{6} ) = 0 \\ so \: x = 2 \sqrt{6} = 4.899 \: and \\ x = - 2 \sqrt{6} = - 4.899[/tex]
For what values of k does the function y = cos kt satisfy the differential equation 4y'' = −9y? (enter your answers as a comma-separated list.)
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The values of k that satisfy the equation 4y'' = -9y for the function y = cos kt are k = ±3/2.
Explanation:This is a question in differential equations, where we are given a cosine function y = cos kt and asked to find values of k that satisfy the given equation 4y'' = −9y.
Recall, the second derivative of cos kt is -k²cos kt which is equivalent to -k²y.
Substituting that into the differential equation, we get 4(-k²y) = -9y. If we simplify this, we get k² = 9/4. Therefore, the values of k which satisfy the given equation are k = ±3/2.
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The values of k that satisfy the differential equation 4y'' = −9y are k = ±3/2.
We can find the values of k that satisfy the differential equation 4y'' = −9y by solving for k.
First, we can rewrite the differential equation in its general form:
ay'' + by' + cy = 0
where a = 4, b = 0, and c = -9.
Next, we can find the characteristic equation:
ar^2 + br + c = 0
Plugging in the values of a, b, and c, we get:
4r^2 + 0r - 9 = 0
Solving for r, we get:
r = ±3/2
Therefore, the general solution to the differential equation is:
y = Acos(3t/2) + Bsin(3t/2)
where A and B are arbitrary constants.
Finally, we can substitute y = cos kt into the original differential equation and solve for k:
4k^2cos kt + 9cos kt = 0
Dividing both sides by cos kt, we get:
4k^2 + 9 = 0
Solving for k, we get:
k = ±3/2
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After the police track the monkey and his kidnapper for a while, something changes. After one hour, the location is 32 miles away from the zoo. But after 70 minutes, or 76 hours, the location is still 32 miles away. Write an equation in point-slope form that represents the distance of the monkey and kidnapper, assuming they are still traveling in a linear pattern.
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What is the least possible integer value for which 40% of that integer is greater than 9.6?
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In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the x axis Please select the best answer from the choices provided A B C D
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What’s the measure of LMF
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LMF = 17x
so 17x + 3x =180
20x = 180
x = 180/20 = 9
17 *9 = 153
angle LMF = 153 degrees
A recipe for a batch of cookies calls for 2 1/3 cups of flour for 24 cookies. Manuel wants to make 72 cookies. How many cups of flour does he need
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Lori sold 3 times as many raffle tickets as tony. lori sold 24 tickets. how many more raffle tickets did lori sell than tony?
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Answer:
Your Answer is C) 16
Step-by-step explanation:
Step 1: Find the number Tony sold.
24 ÷ 3 = 8
Step 2: Find how many more tickets were sold by Lori than Tony.
24 - 8 = 16
Brainliest?
Suppose your friend says the line y=-2x +3 is perpendicular to the line x+2y=8. Do you agree? Explain.
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y = 2x + 3 has slope of 2 ( because of the '2x')
x + 2y = 8
2y = -x + 8
y = -0.5x - 4
2 * -0.5 = -1 so they are perpendicular
So the friend was right
Tarting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12mph. What is her average speed for the entire trip from home to the hardware store and back?
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18÷2=9
Emilys average speed is 9mph
Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality
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Answer:
Correct option is:
A.Multiplication Property of Equality
Step-by-step explanation:
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).
Here, we are given a equality:
x= -2
Now, on multiplying both sides by 5, the equality will be preserved
i.e. 5x= -2×5
i.e. 5x= -10
Hence, Correct option is:
A.Multiplication Property of Equality
The property of equality that justifies the given statement is the Multiplication Property of Equality
The correct option is A.Multiplication Property of Equality
From the question, we have that
If x=−2, then 5x=−10
The property of equality that justifies this statement is the Multiplication Property of Equality.
This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.
That is,
[tex]5 \times x = -2 \times 5[/tex], yields
5x=−10.
Hence, the property of equality that justifies this statement is the Multiplication Property of Equality
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The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not including 1.
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The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).
When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.
Let's take an example to illustrate this. Consider the number 'n' with prime factorization:
[tex]n = p^r * q^s * ... * z^w,[/tex]
where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.
To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.
The total number of factors can be calculated using the formula:
(r + 1) * (s + 1) * ... * (w + 1)
This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.
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Frank and Latoya each ran every day as part of an exercise routine. Frank ran
3 miles each day for x days. Latoya ran 5 miles each day for y days.
The total number of miles that Frank ran is at least the total number of miles that Latoya ran. Write an inequality describing this relationship.
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5 miles each day for y days is 5y
Frank ran at least as many miles as Latoya is 3x >/= 5y
if -7k=-42, then k=6
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because minus and minus gives you a positive answer you just put 6 instead of -6
The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwise relative to the original axes, the vector's components are
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After rotating 90 degrees counterclockwise,
Now, Vector components are +7 in x-axis & +5 in y-axis.
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
What does y=mx+b the m mean?
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violet chewed 5 times as many pieces of bubble gum in one week as her friend if her friend chewed 12 pieces of bubble gum.how many did violet chew
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so I would say it's 5 (12)=60 so I think Violet chewed chewed 60
and if it was asking how many pieces of bubble gum Violet chewed more than her friend it would be 60-12=48
Violet chewed 60 pieces of bubble gum in one week.
Explanation:To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.
12 x 5 = 60
Therefore, Violet chewed 60 pieces of bubble gum in one week.
I have a Brainliest !!!!!!
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Solving systems of three equations w/ elimination
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The hypotenuse of a right triangle is 20 centimeters, and the shorter leg is 12 centimeters. Find the length of the other leg. 2 cm 4 cm 16 cm
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The length of the other side is : 16cm
What is a right-angled triangle?A right-angled triangle is a triangle with one of its angle 90 degrees and has two adjacent sides and a hypotenuse which is the longest side.
Analysis:
Since it is a right-angled triangle, we use Pythagoras theorem
[tex]hypotenuse^{2}[/tex] = [tex]opposite^{2}[/tex] + [tex]adjacent ^{2}[/tex]
hypotenuse = 20cm, opposite = 12cm, adjacent = xcm
[tex]20^{2}[/tex] = [tex]x^{2}[/tex] + [tex]12^{2}[/tex]
[tex]x^{2}[/tex] = 400 - 144
[tex]x^{2}[/tex] = 256
x = [tex]\sqrt{256}[/tex] = 16cm
In conclusion, the length of the other side is 16cm
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A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship? Yes, y = 2x. Yes, y = 20x. No, y = x + 10. No, y = x + 20.
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Answer:
Yes, y = 2x
Step-by-step explanation:
I took it on edge and got it right!!!
There will be definitely a direct relation and the relation will be y = 2x.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Proportion is very useful to set relations between variables.
Given that the prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, and the number of text messages sent and received
so it is clear that cell phone charge upon the number of minutes to use text messaging hence y = 2x will be the correct answer.
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What is the answer to John bought a video game on sale for $35. The original price of the game was 3 times that amount. John also bought video game controllers on sale for $28. The original price of the game controllers are 5 times that amount. Together how much money did the video game and controllers cost before they went on sale?
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Video game: $35
Controller: $28
~~~~~~~~~~~~~~~~~~~~~~~~~
Video game:
35 x 3 = 105
Controller:
28 x 5 = 140
140 + 105 = 245
Total: $245
What is the value of the function at x=−3?
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If so it would be 4
Answer:
correct answer is 4
Step-by-step explanation:
Can someone please explain the concept of Algebra? Just give me some basic tips so I can solve questions like the ones in the picture. Thanks in advance!
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for Example: 4x= 8
x= 8 divide by 4
x= 2
Step 1: isolate the variable (in this case,x).
Isolating the variable makes you narrow down what you are solving for.
Step 2: solve for the variable.
You can solve for the variable by making x alone (meaning with no coefficient).
If you have any questions on how you can do these while it still being mathematically legal, let me know and I will help.
What is a equation of the graph of the equation below translated down 3 units y=-x^2
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going up a negative distance is the same as going down that same distance but positive
so to move y=-x^2 up by -3 units, add -3 to the whole function so we get
[tex]y=-x^2-3[/tex] as the translated equation
What is the area of The shaded sector of the circle
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1/3 of circle = 81pi / 3 = 27 pi units^2
answer
B. 27 pi units^2
Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]
Step-by-step explanation: area of circle =[tex]\pi r^{2}[/tex]
where r is the radius of circle
here r=9
to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3
so area of shaded region =area of circle÷3
=[tex]\pi[/tex]×9×9÷3
=27[tex]\pi[/tex] [tex]unit^{2}[/tex]
to construct a line parallel to a given line m to a point not on m, you need to know how to construct_______angles?
A. right
B. acute
C. congruent
D. obtuse