2cos2x=y
dy/dx(2cos2x)=-4sin2x
d/du cosu= u'×cos'u=-u'×sinu
d/du sinu= u'×sin'u= u'×cosu
d/du tanu = u'×(1+tan²u)
d/du cotu = u'×-(1+cot²u)
proof for cosu :
cos2x= 1-2sin²x
or 2cosx²-1
or cos²x-sin²x
we will one of this fro example let's take the first one
d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x
and we have 2 in the begining so its -4sin2x
solve missing values for triangles
Answer:
32±b±90=180(being the three angle of a treangle)
32±90±b=180
122±b=180
B=180-122
b=58 answer
90±23±d=180(being three angle of the trangle)
113±d=180
d=180-113
d=78 answer
Answer
:.b=58
:.d=78
Thank you
in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket
If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ?
Answer:
which class Of question is this
The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?
My answer is in the picture
4/x-7=7/x+6
What is x
Answer:
21
Step-by-step explanation:
[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]
Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef
Answer: De and Ef
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?
Simplifying fractions Sheet 2
Simplifying fractions:
1) [tex]\frac{14}{20} =\frac{7}{10}[/tex] 2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]
3) [tex]\frac{9}{12} =\frac{3}{4}[/tex] 4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]
5) [tex]\frac{8}{18} =\frac{4}{9}[/tex] 6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]
7) [tex]\frac{12}{16} =\frac{3}{4}[/tex] 8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]
9) [tex]\frac{15}{35}=\frac{3}{7}[/tex] 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]
11) [tex]\frac{11}{55}=\frac{1}{5}[/tex] 12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]
13) [tex]\frac{16}{26} =\frac{8}{13}[/tex] 14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]
15) [tex]\frac{18}{24} =\frac{3}{4}[/tex] 16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]
17) [tex]\frac{4}{32} =\frac{1}{8}[/tex] 18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]
Hope this helps :)
Answer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?
Answer: $133.20
Step-by-step explanation:
Mathematicians please help me solve this question. Am marking the brainliest.
Step-by-step explanation:
Let [tex]x = r\cos{\theta}[/tex] and [tex]y = r\sin{\theta}[/tex]. Substituting these into our equation, it becomes
[tex]\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1[/tex]
or
[tex]9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 225[/tex]
Let use the identity [tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex] to express the equation in terms of sine only:
[tex]9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 225[/tex]
which simplifies to
[tex]r^2(9 + 16\sin^2{\theta}) = 225[/tex]
Taking the square root and solving for r , we get the polar form of the equation as
[tex]r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}[/tex]
Answer:
x = r\cos{\theta}x=rcosθ and y = r\sin{\theta}y=rsinθ
\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1
25
r
2
cos
2
θ
+
9
r
2
sin
2
θ
=1
or
9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 2259r
2
cos
2
θ+25r
2
sin
2
θ=225
Let use the identity \cos^2{\theta} = 1 - \sin^2{\theta}cos
2
θ=1−sin
2
θ
9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 2259r
2
−9r
2
sin
2
θ+25sin
2
θ=225
which simplifies to
r^2(9 + 16\sin^2{\theta}) = 225r
2
(9+16sin
2
θ)=225
Taking the square root and solving for r ,
r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}r=
9+16sin
2
θ
15
2n-3/5=5
Solve for n
Okay this is the answer I hope this help
7 chickens laid 35 eggs. How many eggs will be laid by 40 chickens?
Plz help
Answer:
200
Step-by-step explanation:
14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13
please give detailed steps/walkthrough!! thank you
Answer:
When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.
In this question... We needed the y - Intercept
Know This: At the intercept of a mentioned axis...The other axis is zero at that point.
In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa
So To find the y Intercept... the x value at this point is zero(0).
With this in Mind...
substitute x = 0 into the quadratic eqn
f(x) = 0² +8(0) - 13
f(x) = -13
This is Our Y Intercept .
To get the x intercept(if asked)
substitute y = 0 and solve
0 = x² + 8x - 13
This is a quadratic equation
Solving this would get you two value and those values would be your x intercept.
I hope it helps.
Have a great day.
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
How to solve 3/7m=6 ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1Determine the vertex of the quadratic function f(x) = (x - 3)^2 +7.
Please give detailed steps!! thank you
Answer:
vertex = (- 3, 7 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 3)² + 7 ← is in vertex form
with vertex = (3, 7 )
Write 52,640 in scientific notation. Please
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
5.264×10^4
Step-by-step explanation:
10^4 = 10,000 x 5.264 = 52,640
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game
Answer:
He will pay $10
Step-by-step explanation:
35-25=10
The height of a certain mountain in California is 14,857 ft. The depth of a known trench in the Pacific Ocean is - 23,128 ft. What is the difference between the height
of the mountain and the depth of the trench?
Answer:
The difference between the height of the mountain and the depth of the trench is 8,271 ft.
Step-by-step explanation:
brainliest plz?
Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.
Answer:
$1080
Step-by-step explanation:
s=30w+750
s=30(11)+750
s=330+750
s=1080
15 cm
C
8 cm
Perimeter =
cm, Area =
square cm
Answer:
refer to workings
Step-by-step explanation:
Perimeter=15+15+8+8=46cm
Area=15×8=120cm²
Welp plss this i do 360/30??
Answer:
12 sides
Step-by-step explanation:
its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.
180n-360=150n30n=360n=360/30=12Graph the compound inequality on the number line.
x≤4 or x≥8
Answer:
x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right
Step-by-step explanation:
Not sure how to explain it.
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
f(x) = -x +11
g(x) = 3x^2– x+ 14
9514 1404 393
Answer:
(g·f)(9) = 496
Step-by-step explanation:
One way to do this is to find the values of g(9) and f(9).
g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248
f(9) = -(9) +11 = 2
Then ...
(g·f)(9) = g(9)·f(9) = 248·2
(g·f)(9) = 496
what is the diagnosis of a rectangular room which measures 16 feet by 7 feet
1466899876+245689999999&&
please mark this answer as brainlist
i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=