Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
The difference of two integers is 1. The product of the integers is 30. What
are the integers?
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Let us take ,
First integer be x .Second integer be y .Also let us consider x > y .
According to first Condition :-
⇒ x - y = 1.
⇒ x = y + 1. .............(i)
According to second Condition :-
⇒ x × y = 30 .
⇒ ( y + 1 )y = 30 . [ From (i) ]
⇒ y² + y = 30.
⇒ y² + y - 30 = 0 .
⇒ y² + 6y - 5y -30 = 0.
⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .
⇒ ( y + 6 ) ( y - 5 ) = 0 .
[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]
Here y can sustain both values 5 and minus 6 as y is an integer.
So , x = -6 , 5 .
Hence possible answers are ,
[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]
[tex]\qquad\qquad\qquad \bf Or [/tex]
[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]
.
please help!! I'm really confused
Answer:
Point a is correct.
Step-by-step explanation:
hope I helped.
(x+5) (x+4) give me the answers quick please
[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]
[tex] = (x + 5)(x + 4)[/tex]
[tex] = {x}^{2} + 4x + 5x + 20[/tex]
[tex] = {x}^{2} + 9x + 20[/tex]
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?
Answer:
What you are looking for is the ratio which is 5/9
Step-by-step explanation:
all you had to do was add them together
Answer:
Step-by-step explanation:
5 to 9
The volume of a cube is 27 in.. How long is each side? Each side of the cube is____in. long.
Answer:
the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
Solve for V and simplify.
2v+6=13v-4v+62
use the simplified ratio to find the equivalent ratio with a denominator of 140
Answer:
x
__
140
Step-by-step explanation:
all i could get sorry
what is 5 divided by 1 4/7
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony
Answer:
I do believe it is irony
the product of -3 and t is greater then 11
Answer:
t ≤ 4
Step-by-step explanation:
3 X 4 = 12 or any number greater than 4
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
Learn more here: https://brainly.com/question/24217736
In 10 minutes a heart can beat 700 time at this rate in how many minutes will a heart beat 140 time
Answer: i believe the answer is 2 minutes
Step-by-step explanation:
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12 how far will the cab travel?
Answer:
5 miles
Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5
Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March
Answer:
25
Step-by-step explanation:
200 divided by 8
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
The photo below is the reduced form of a 16-by-20-inch print. What is the scale factor being used to reduce te
4 in
5 in
Answer:
Option (B)
Step-by-step explanation:
Photo given in the picture has dimensions as,
Length = 4 in.
Width = 5 in.
This photo is the reduced form of a photo having dimension 16 by 20 inch print.
Since scale factor of an image is given by,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original picture}}[/tex]
= [tex]\frac{4}{16}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor used to reduce the picture is [tex]\frac{1}{4}[/tex].
Option (B). will be the correct option.
Answer:
it's 4
Step-by-step explanation:
it's 1:4 cause 16/4 is 4 so the scale factor is 4
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-4.9
Step-by-step explanation:
The answer is -4.9 because:
1) As the number line increases, the numbers are also increasing even though it seems like they are decreasing.
2) The number that comes right after -5 is -4.9
Hope this helps! :D
you must take medicine in 4 equal doses each day. each days medicine come in a single container and measure 3 1/5 tablespoons. how much medicine is in each dose
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21
Steven put together 2,494 pieces of a puzzle. About how many pieces did he put together?
Answer:
2,494
Step-by-step explanation:
if he put 2,494pieces together you repeated the same question
Hansel's age is one less than three times Gretel's age. The sum of their ages is 43.
Answer: Hansel is 32
Step-by-step explanation: 11x3-1=32, 32+11=43
Is 35 - square of 40 greater than 6 pi?
Answer:
yes
Step-by-step explanation:
Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. Then, they each spend $3 on food. At the end of the day, Donavon and his friends have a total of $8 remaining. How much money did each person bring to the fair? Complete the work to find the value of x.
(Type integers or fractions as the answer.) like top to down
Answer:
$22
Step-by-step explanation:
Hi here is the explanation
We just do the opposite of the question
We just add the values
So 3+8=11
Now multiply. Since when we have the total and we spent haslf of it, we divide, so now we multiply by reciprocal, the opposite
11*2=22 (2 is the reciprocal)
Now let’s see we did it right
22*1/2=11
Now let’s subtract to find the remaining
11-3=8
As you can see, we are right as they had $8 left.
Hope it helps
Hope you mark me brainliest!
What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5
Answer:
x:5
Step-by-step explanation:
The value of 'x' in the solution set is 5 Option D
How to determine the value of xFrom the equation
8x -6 > 12 + 2x
Collect like terms
8x - 2x > 12 + 6
6 x > 18
Make 'x' subject of formula
x > 18/6
x > 3
If x is greater than 3, then x is 5
Therefore, the value of 'x' in the solution set is 5. Option D
Learn more about inequalities here:
https://brainly.com/question/24372553
#SPJ9
What’s the y intercept
Answer:
y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
I mark as brainliest
Answer:
The answer is D
Step-by-step explanation:
you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying and A is not. so the answer is D
The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
Armando read 15% of his 46-page book.
Billy read 11% of his 72-page book.
Robert read 12% of his 68-page book.
Joel read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
a Armando
b Joel
c Billy
d Robert
Answer: B. Joel
hope this helps :}
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.
Answer:
S = 1 bag of popcorn
Y = 1 water
Step-by-step explanation:
S x 3 + Y x 4 = R
40 - R = (The Answer)