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.
Find the missing side length
Write the function for the graph.
Answer:
the answer is B
Step-by-step explanation:
HELP NEEDED HELP NEEDED!
Answer:
G. 8.625 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of first rectangle:
1.5 × 2.5 = 3.75 ftArea of second rectangle:
1.5 × 2.5 = 3.75 ftArea of triangle:
1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125Put them together:
3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]I hope this helps!
What is the solution of the system of equations shown in the graph below?
Answer:
Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)
Step-by-step explanation:
write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a
One solution to a quadratic equation is x = -2i
What is the other solution?
I believe it would be x=2i
:)
Item 2
Question 1
Solve 6x≥−42. Graph the solution.
Answer:
x ≥ -7
Step-by-step explanation:
Divide both sides by 6
Then to graph it, you can make a number line
Answer:
Step-by-step explanation:
Solve 6x ≥ − 42for x by dividing both sides by 6. We get:
x ≥ − 7
Now draw a vertical line (solid) through x = -7.
Finally, shade the area including and to the right of x = -7.
Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression?
Answer:
lw/4
Step-by-step explanation:
Area of a rectangle = length × width
= l × w
Area of a rectangle = let
reduce the area of his rectangular garden by one-fourth
= 1/4 * lw
= 1/4lw
What is another way to write this expression?
Another way to write the expression is
= 1/4 * lw
= lw / 4
the digit in the 6 in which number represents a value of
choose 1 answer:
A.5,716
B.186,200
C.644
Answer:
down below
Step-by-step explanation:
we dont know what the number is
please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.
Answer:
I can see if one of my friends can help
Answer:
a?
Step-by-step explanation:
No no BBB
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax
Answer:
$275.562
Step-by-step explanation:
Step 1
Find the discounted price
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.
Discount = $315 × 19%
= $59.85
Discounted price = $315 - $59.85
= $255.15
Step 2
Sale Tax
She had to pay an 8% sales tax on the amount she actually paid for the bike
Hence:
$255.15 × 8%
Sale Tax = $20.412
Step 3
The total cost of the bike including tax is calculated as:
$255.15 + $20.412
= $275.562
x + y > -3
how do I find the ordered pair and a solution to this inequality
Answer:
x>-3-y
Step-by-step explanation:
subtract y from both sides
Which is a graph of the solution of the inequality -5m+10>70
Answer:
solving form; m< -12
Step-by-step explanation:
On a linear graph there would be an open circle on the number -12 and the line would be pointing left
Simple question for everyone
What shape figure is this?
Answer:
It's a parallelogram
Answer: Rhombus or a Parallelogram
Please help I will give brainly as long as you tell me how to do it
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
The answer is Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
9 divided by 2/3 - 7/12
answer quick pls
!!!
What equation in slope intercept form represents the line that passes through the two points?
(2, 5), (7, –1)
Answer:
y = -3/2 + 8 and/or 3x + 2y = 16
Step-by-step explanation:
(x,y) is helpful to remember
*I believe I'm correct, but I would recommend a quick double-check
BRAINLIEST! URGENT! Please help of you can, please provide an explanation aswell, Thank you.
Answer:
The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
Step-by-step explanation:
Given the system of equations
2.4x - 1.5y = 0.3
1.6x + 0.5y = -1.3
solving the system of equations
[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]
Multiply 2.4x - 1.5y = 0.3 by 2
Multiply 1.6x + 0.5y = -1.3 by 3
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]
so
[tex]4.8x+1.5y=-3.9[/tex]
[tex]-[/tex]
[tex]\underline{4.8x-3y=0.6}[/tex]
[tex]4.5y=-4.5[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]
solve 4.5y = -4.5 for y
[tex]4.5y=-4.5[/tex]
Multiply both sides by 10
[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]
Refine
[tex]45y=-45[/tex]
Divide both sides by 45
[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]
Simplify
[tex]y=-1[/tex]
For 4.8x - 3y = 0.6, plug in y = -1
[tex]4.8x-3\left(-1\right)=0.6[/tex]
[tex]4.8x+3\cdot \:1=0.6[/tex]
[tex]4.8x+3=0.6[/tex]
Multiply both sides by 10
[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]
Refine
[tex]48x+30=6[/tex]
Subtract 30 from both sides
[tex]48x+30-30=6-30[/tex]
Simplify
[tex]48x=-24[/tex]
Divide both sides by 48
[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]
simplify
[tex]x=-\frac{1}{2}[/tex]
or
[tex]x = -0.5[/tex]
Thus,
(x, y) = (-0.5, -1)
Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
Answer this please will give brainliest
Answer:
answer is 4
Step-by-step explanation:
Answer:
I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help
Step-by-step explanation:
To stay within your budget,the area of the house and the garage combined is at most 3000 square feet.The area of the garage is 528 square feet.Write and slove an inequality that represents the area of the house. write the inequality, do not simplify. Let h=area of the house simplify the inequality
Answer:
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
Step-by-step explanation:
Area of house and garage is at most 3000 ft²
Area of garage = 528 ft²
Area of house (h) =?
Area of garage + Area of house ≤ 3000 ft²
528 ft² + h ≤ 3000 ft²
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
If p=1/3 what is 12p
Step-by-step explanation:
Given
[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]
Hope it will help :)
Answer:
4
Step-by-step explanation:
as p = 1/3
12p = 12×*(1/3) [because p =1/3]
= 12/3
= 4
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
Am I the only one here that is having a huge problem with Geometry?
Answer:
18y+30y+14y+150°+142=540
62y+292=540
subtract 292 from both sides
62y= 248
divide 62
y=4°
What is the difference between a service charge and a finance charge?
A) A service charge is a fee which must paid every month, while a finance charge is a one-time fee assessed at the beginning or end of a loan period.
B) A service charge is a flat fee charged to a borrower, while a finance charge is a fee charged to a borrower based on the amount borrowed.
C) A service charge is a fee assessed by a lender, while a finance charge is a fee charged by a financial institution, such as a bank.
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
Please EXPLAIN work in detail, Thank You!
Answer:d
Step-by-step explanation: because that’s the answer
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
According to accounting and finance terminology, the finance charge is the total fees that you pay to borrow the money in question. This means that the finance charge includes the interest and other fees that you pay in addition to paying back the loan.
Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.
A stationer purchased 5 dozen of pens at
Rs 25 per price and sold 24 per piea
() Find his loss
() Find
his loss percent.
Answer:
CP = 25
SP = 24
Loss = CP - SP
=> 1
Loss% => Loss × 100/25
=> 1×4
=> 4% Loss
Simplify 2(x + 6) - 8
Answer:
2x+4
Step-by-step explanation:
please give me a brainliest!!
Answer:
2x + 4
Step-by-step explanation:
2(x + 6) - 8
Distribute
2(x) = 2x
2(6) = 12
2x + 12 - 8
Subtract 12 - 8
12 - 8 = 4
So 2x + 3 is your final answer.
Find the Values of y
Y ² = 169
Answer:
Y= 13,-13
Step-by-step explanation:
The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?
Answer: P = 12x + 18
Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.
2L = 2(4x +6)2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).P = 2L + 2WP = 2(4x + 6) + 4x + 6 (substitute for L and W)P = 8x + 12 + 4x + 6 (distribute)P = 12x + 18 (combine like terms)Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equation can be used to find the number of liters of each solution the should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.
Answer:
c + d = 400
0.2c + 0.5d = 156
Step-by-step explanation:
Let
c = number of liters of 20% acid solution
d = number of liters of 50% acid solution.
c + d = 400 (1)
0.2c + 0.5d = 400(0.39)
0.2c + 0.5d = 156 (2)
From (1)
c = 400 - d
Substitute c = 400 - d into (2)
0.2c + 0.5d = 156 (2)
0.2(400 - d) + 0.5d = 156
80 - 0.2d + 0.5d = 156
- 0.2d + 0.5d = 156 - 80
0.3d = 76
d = 76/0.3
d = 253.33 liters
Substitute d = 253.33 into (1)
c + d = 400
c + 253.33 = 400
c = 400 - 253.33
c = 146.67 liters