Answer:
72
Step-by-step explanation:
20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.
: Show that the solution of the differential equation: = − − − − − is of the form: + + ( − ) = + , When = and =
Answer:
[tex]y = \tan(x + \frac{x^2}{2})[/tex]
Step-by-step explanation:
Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]
When
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]
We have:
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]
Rewrite as:
[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]
Factorize
[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]
Rewrite as:
[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]
Factor out 1 + x
[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]
Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]
[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]
Integrate both sides
[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]
Rewrite as:
[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]
Integrate the left-hand side
[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]
Integrate the right-hand side
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]
[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]
So:
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]
This gives:
[tex]0 = 0 +0 + c[/tex]
[tex]0 =c[/tex]
[tex]c = 0[/tex]
The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]
[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]
Take tan of both sides
[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved
Guys help my little sister with these questions:)))
Answer:
Card A: the eiffel tower is 20,313 taller than the pyramid of khafria
Card B: Josh site had 615 more than diego
Card C: 15,405 more to reach there goal
Step-by-step explanation:
Tell your sister i said your welcome
Answer:
Card A:
The Eiffel tower is 615 feet taller than the pyramid of Khafra.
1,063 - 448 = 615
Card B:
Josh site has 20,131 more visitors than Diego.
805,289 - 784,976 = 20,313
Card C:
The school needs to raise $15,405 during the spring fundraiser to reach it's goal.
$13.809 + $20.786 = $34,595
$50,000 - $34,595 = $15,405
Step-by-step explanation:
Have a nice day! :-)
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
A.)23
B.)30
C.)53
D.)60
Answer:
m∠ABC = 150°
Step-by-step explanation:
180° - 90° = 90°
[tex](2x+14)+(x+7)=90[/tex]
[tex](2(23)+14)+(23+7)=90[/tex]
[tex]((46)+14)+(30)=90[/tex]
[tex](60)+(30)=90[/tex]
[tex]x=23[/tex]
90° + 60° = 150°
Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
make the letter in the bracket the subject of the A=
[tex]v = u + at \: (a)[/tex]
Answer:
a=acceleration due to gravity=9.8m/s²
v=final velocity
u=initial velocity
t=time taken
What is the missing value? The Volume is 5120 m^3
Answer:
32
Step-by-step explanation:
V=[tex]\pi[/tex]r^2
5120=[tex]\pi r^{2}[/tex]x20
5120/20 = 256
[tex]\sqrt{256}[/tex]=16
16+16 ( 16x2) = 32
32in.
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
How do you find a constant rate of change?
Answer:
Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".
Step-by-step explanation:
interpretation of the vertical line
Jim took out a loan for $500 . The rate is 8%. How much does Jim owe in interest if he plays it back in 4 1/2 years?
What is the balance that jim owes for his loan?
Answer:
If jim pays the loan back in 4 1/2 years he will be paying $597.03
Step-by-step explanation:
As per simple interest, Jim owes $180 in interest.
Jim owes a balance of $680 for his loan.
What is a simple interest?"By definition, simple interest is the interest amount for a particular principal amount of money at some rate of interest."
Given, the loan amount is P = $500.
The rate of interest is i = 8% = 0.08.
The duration is [tex]4\frac{1}{2}[/tex] years t = 4.5 years.
Therefore, the interest after the mentioned period
= (P × i × t)
= $(500 × 0.08 × 4.5)
= $180
Therefore, Jim owes $180 in interest if he pays it back in mentioned time period.
The balance that Jim owes for loan is
= $(500 + 180)
= $680
Learn more about simple interest here: https://brainly.com/question/23242722
#SPJ2
Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1
Answer:
The vertex of the graph is at (-4,1) and thus leading the axis of symmetry be at x=-4.
Step-by-step explanation:
Solve the equation.
Solve the Equation
y + 3 = –y + 9
y = 1
y = 3
y = 6
y = 9
Answer:
y = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
y + 3 = -y + 9
Step 2: Solve for y
[Addition Property of Equality] Add y on both sides: 2y + 3 = 9[Subtraction Property of Equality] Subtract 3 on both sides: 2y = 6[Division Property of Equality] Divide 2 on both sides: y = 3Solve the equation 28 + 24p = 36 for p.
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{28 + 24p = 36}[/tex]
[tex]\textsf{24p + 28 = 36}[/tex]
[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]
[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]
[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]
[tex]\textsf{36 - 28 = \bf 8}[/tex]
[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]
[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]
[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
1/3
Step-by-step explanation:
Got a 100 on T4L
what is the value of 3/2 + 4/2?
Answer:
7/2 or 3 1/2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
3/2 + 4/2 = 7/2
Hope this helps!!
There are 10 girls and 6 bios in class the teacher randomly draws one student’s name and then draws another
Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.
What are the coordinates of point E ?
(2, 0)
(0, 2)
(2, 2)
(0, 0)
Check image to understand
Answer:
(0,2)
Answer B..............
Answer:
(0,2)
Step-by-step explanation:
there is nothing for the x-axis only y-axis which is on the right so it moves up by 2
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
FASTTTT HELPPP will mark brainly
“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?
Answer:
216 cubic centimeters
Step-by-step explanation:
The details of the word problem are as follows;
The length of the edges of a cube, s = 6 cm
The volume of the cuboid = The volume of the cube
The length of a side of the cuboid = 4 cm
The length of the other side of the cuboid - 6 cm
The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³
The volume of the cuboid, [tex]V_c[/tex] = 4 cm × 6 cm × T
Where 'T' represent the length of the third side
Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm
The length of the third side, T = 9 cm
The volume of the cuboid = The volume of the cube = 216 cm³
Determine the intercepts of the line. − 5 x + 9 y = − 18
Answer:
x int (18/5,0)
y int (0.-2)
Step-by-step explanation:
by substitution
Answer:
x-intercept: (3.6, 0)
y-intercept: (0, -2)
Step-by-step explanation:
The x and y intercepts of a line can be found by substituting y= 0 and x= 0 into the equation of the line respectively. The y-intercept is the point at which the line cuts through the y-axis, while the x-intercept is the point at which the line cuts through the x-axis.
-5x +9y= -18
When x= 0,
-5(0) +9y= -18
9y= -18
Dividing both sides by 9:
y= -18 ÷9
y= -2
Thus, the y-intercept occurs at (0, -2).
When y= 0,
-5x +9(0)= -18
-5x= -18
Divide both sides by -5:
x= -18 ÷(-5)
x= 3.6
Thus, the x-intercept occurs at (3.6, 0).
To learn more about intercepts, check out: https://brainly.com/question/14180189
9. You have saved S2500 to spend on vacation. You spend the money at an average rate of $125 per day.
Write a linear function to model this situation
Your friend has two children. At least one of the children it's a boy. Considering the order that the children were born, what is the probability that the other child is a girl?
Answer:
the order actually doesn't affect the likelyhood of the gender, the answer is 50%
Step-by-step explanation:
Question 6
1 pts
6)
What expression is equivalent to (x - 5)(x + 5) ?
a) x2 - 10x + 25
b) b) x2 - 25
c) x2 + 25
d) x2 + 10x - 25
Answer:
-33x o hope this helps and the rest you just do the same
Y=(2x-5)(4x+1) expand
Answer:
8x² - 18x - 5
Step-by-step explanation:
2x (4x+1) -5(4x+1)
8x²+2x -20x-5
8x²-18x -5
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
Find the length of the arc. Use 3.14 for T.
PLEASE HURRY
Answer:
Solution given;
angle =270°
radius [r]=8cm
we have
length of arc =270°/360°×2×π*r
=270°/360°×2×3.14*8=37.68cm
length of the arc is 37.68cm.
[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
it would take him 10 hours
Use The Cruise Ship room price Table To Determine The Percentile Rank Of $6,962
Answer:
Step-by-step explanation:
Use the cruise ship room price table in problem 7 above to determine the percentile rank of $6,962.
Data from problem 7:
Seaquoia River Cruises offers a 7-day travel package. The prices vary based on the room class booked, as indicated in the following spreadsheet:
Use the cruise ship room price table in problem 7 above to -1
Hope this answer helps you :)
Have a great day
Mark brainliest
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
There are 35 counters in a bag.
29 of the counters are white.
6 of the counters are yellow.
Kieren takes two of the counters at random.
Work out the probability that the two counters are the same colours
Answer:
debes hacer l regla de tres
Step-by-step explanation:
Answer:
2/35 because we don't know which counter kieren will take