Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
According to the scatterplot below, about how many commercials could one expect to see in 30 minutes of television programming?
Megan budgeted $300 for her shopping trip. She spent $61.50 on jewelry at Revin Jewelry. What percent of her budget did she spend on jewelry? (write the exact percentage)
Answer:
20.5%
Step-by-step explanation:
Here, we want to calculate the % spent on Jewelry
To get that, we divide the amount spent on Jewelry by the total budget and multiply by 100
That will be;
61.5/300 * 100% = 20.5%
12a+10 find the algebraic expression
Answer:
2(6a+5)
Step-by-step explanation:
Factor 12a+10
12a+10
=2(6a+5)
Answer:
2(6a+5)
Step-by-step explanation:
In the diagram, the measure of angle 9 is 85°.
GO
1
2
516
4
3
8
7
910
13/14
1211
16/15
Which angle must also measure 85°?
22
0_5
_11
Answer:
angle 11 they are vertically opposite.
∠11 must also be 85 degrees.
What are vertically opposite angles?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. They are referred to as vertical angles at times.
As per the given data:
∠9 = 85°
From the diagram, ∠9 and ∠11 are vertically opposite angles.
∴ ∠9 = ∠11
∠11 must also measure 85°.
To learn more on Angles, click:
brainly.com/question/28451077
#SPJ7
. A girl pushes herself up a steep ramp in her
wheelchair. She gains a vertical distance of
25.8 m when she reaches the top of the ramp.
She turns around and coasts back down the ramp.
If the combined mass of the girl and her wheelchair
is 64.6 kg, what would be her coasting speed at the
bottom of the ramp? Show all your work.
Answer:
32 Joule by 21 secs
Step-by-step explanation:
I hope that's the correct answer. Best of luck
Select the proper unit multiplier to use when converting 6 ounces to pounds. PLEASE PICK ONE AND ILL GIVE BRAINLIEST
16 oz / 1 lb
16 lb / 1 oz
1 oz / 16 lb
1 lb / 16 oz
none of the above.
Answer:
16oz / 1 lb
Step-by-step explanation:
ABCD shows the original location of a shape. FGHI shows the shape reflected across a
vertical line. If the length of side AB is 5.8 units, and the length of side CD is 8.1 units,
what is the length of side FG?
B
D
O A 5.8 units
OB. 8.1 units
OC. 11.3 units
OD
13.9 units
Answer:
A. 5.8
Step-by-step explanation:
if ABCD was reflected to FGHI means that A became F and B became G so AB became (was mapped to ) FG after reflection.
the length ( or distance) after reflection is is preserved ( does not change) so
if AB = 5.8 units then FG =5.8 units.
Please help please help ASAP
The diagram shows a circle inside a square.
a O
16 cm
Work out the area of the circle.
Answer:
perimeter of circle=2πr
16=2πr
r=16/2π=8/πcm
now.
area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²
The histogram to the right represents the weights (in pounds) of members of a certain high-school mathmath team. How many team members are included in the histogram?
Answer:
13 team members are included in the histogram.
Step-by-step explanation:
Consider the provided information.
The required histogram is shown in the figure.
We need to find the team members included in the histogram.
For this, we will add the frequency or the height of each bar.
2+1+1+5+1+3=13
Hence, 13 team members are included in the histogram.
Helppp pleaseeee
Someone pleaseeeee
7
You are comparing 3 different cell phone plans to see which is the cheapest:
Plan A costs a basic fee of $30 per month and $10 for every GB of data used
Try writing each plan as an
equation in y = mx + b form where
Plan B costs a basic fee of $80 per month with unlimited data
=GBs used and y total cost.
Plan C costs a basic fee of $50 per month and $5 for every GB of data used
You're looking to replace the m and
b in the equation. For Plan A, where
a) Write an equation for each plan that calculates the total cost (y) in terms of GB of data used (x) would the $30 go? Where would
the
Plan A:
Plan B:
Plan C:
$10 go?
b) Graph each plan on the following set of axes.
Cell Phone Plan Costs
Cost
100
c) When does Plan A cost the same as
Plan C?
80
60
d) Which plan is best if you only use 0-
4 GBs of data a month?
40:
20.
GBs of
8 10 data used
4
6
e) When does Plan B become the best
deal?
Answer:
Plan A equation: y = 10x + 30
Plan B equation: y = x + 80
Plan C equation: y = 5x + 50
Plan A costs the same as Plan C in 4 months
Plan A is the better option if you use 0 - 4 GBs of data each month
Plan B becomes the better deal when 8 months pass
Step-by-step explanation:
When does Plan A cost the same as Plan C?
Set the equations equal to each other (the cost) and solve for x (time in months)
10x + 30 = 5x + 50
5x = 20
x = 4 months
Which plan is best if you only use 0-4 GBs of data a month?
Test the maximum and minimum values to check which plan costs less
At 0 GBs of data used per month
Plan A: y = 0 + $ 30 = $30 total
Plan B: y = 0 +$80 = $80 total
Plan C: y = 0 + $50 = $50 total
At 4 GBs of data used per month
Plan A: y = $ 40 + $ 30 = $ 70
Plan B: y = $ 4 + $ 80 = $ 84
Plan C: y = $ 20 + $ 50 = $ 70
Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option
When does Plan B become the best deal?
When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B
José made these grades on tests: 78, 88, 98. Without doing any computing, what is his average?
Answer:
88 is the average
Step-by-step explanation:
78 + 88 + 98 = 264
264 / 3 = 88 ( you divide by the amount of numbers you have, in this case there are three numbers)
The hanger image below represents a balanced equation.
a
9.1
4
Write an equation to represent the image.
Answer:
2x = 3 hope that helps
Step-by-step explanation:
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
(4p-4)+(-7p-7)
I need HELP ON THIS PLEASE FAST!!
Answer:
The correct answer is number 2
-3p - 11
I'm 1000000% sure...
the question is which equation has no solutions
Answer:
The first one.
Step-by-step explanation:
because it a parallel.
A line with slope 1/2 passes through the point (8, -1). What is the equation of this line?
the ratio of PHP 600 to 12 hours
Answer:
50:1
Step-by-step explanation:
600/12
1 hour for every 50 PHP
Express y = 3x + 10 using function notation.
Answer: f(x) = 3x + 10
Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.
This is is the correct function notation:
g(x)=3x+10
Hope that helps!!!
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A is the variable.
i'm really getting tired of the questions like these lol
Step-by-step explanation:
(3x+3)(x+2)=
3x^2+6x+3x+6
=3x^2+9x+6
we get quadratic equation
find discriminant:
D=b^2-4ac=81-72=9
x=(-b±√D)/2a
x1=-6/6=-1
x2=-12/6=-2
one of the x values should be correct.
but why when I try to put values I get zero
Pls help it due in a hour and show workings...
Could you please explain how you got your answer
Answer:
2) 44°Step-by-step explanation:
CA and CB are perpendicular to OA and OB, so the angles A and B are right angles.
Angles AOB and ACB sum to 180°
3x + 10 + 38 = 1803x = 180 - 483x = 132x = 132/3x = 44Correct option is 2) 44°
I need help I dont understand
Answer:
5
Step-by-step explanation:
Slope intercept form is where y= mx + B where M is the slope and B is the y-intercept
4/3=-6e-5/3
solve for "E" plz
Answer:
e=-1/2
Step-by-step explanation:
4/3=-6e-5/3
Multiply both sides by 3:
4=-18e-5
Add 18e to both sides:
18e+4=-5
Subtract 4 from both sides:
18e=-9
Divide both sides by 18:
e=-1/2
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
You were in the car with a family member. You started with 7/10 of a tank of gas, and when you got home you had ⅓. How much gas did you use?
9514 1404 393
Answer:
11/30 of a tank
Step-by-step explanation:
The amount used is the difference between the starting amount and the ending amount:
7/10 -1/3 = 21/30 -10/30 = 11/30 . . . . of the tank
Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
WILL MARK BRAINLIEST!!!!!! Which of the following graphs represent a function?
Answer:
The second one
Step-by-step explanation:
the semi circle
help pls!! i will give you brainliest
Answer:
x=2
Step-by-step explanation:
Answer:
y is less than or equal to 2
Step-by-step explanation:
the shading area is under Y=2