Answer:
63
Step-by-step explanation:
all you need to do is 9*7
Find the derivative of (3+tan X )( 4+3 Cos X)
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
In this question we shall use the following derivative rules:
Derivative of a sum of functions
[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)
Derivative of a product of functions
[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)
Derivative of a constant
[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)
Derivative of a function multiplied by a constant
[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)
Derivative of the cosine function
[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)
Derivative of the tangent function
[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)
Chain rule
[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)
Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:
[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]
[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]
[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]
The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/21202620
Draw a parallel line to line PQ, Start the line with point R
Answer:It’s a long triangle
^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:Howwwwwwww!!!!!!.”?.?....?.??.??.
Will divided 78 crayons equally among 13 friends. How many crayons did Will give to each of his friends?
Answer:
6
Step-by-step explanation:
78/13 = 6 crayons
Answer:
6 crayons I believe
Step-by-step explanation:
78/13= 6
PLEASE HELP!!!!
A farmer is building a chicken coop/ She digs some hole for the support poles. The bottom of the first hole is -6 1/4 ft from ground level. The bottom of the second hole is 1/3 as far from ground level as the first hole.
What is the position of the bottom of the second hole, relative to ground level?
A. 18 3/4 ft
B. 2 1/12 ft
C. -2 1/12 ft
B. -18 3/4 ft
Approximate each irrational square root of 24
A person standing on level ground is 3020 feet away from the foot of a building. If the height of the building is 2534 feet, find the angle of elevation formed at the point where the person is standing to the nearest degree
Answer:
40°
Step-by-step explanation:
Base length, b = adjacent = 3020 feets
Height of building, h = opposite = 2534 feets
The angle of elevation formed :
Using the trigonometry relation:
Tan θ = opposite / Adjacent
Tan θ = 2534 / 3020
Tan θ = 0.8390728
θ = tan^-1(0.8390728)
θ = 39.999
= 40°
PLEASE HELP MEEEEE!!!!!
Answer:
Tan ∠E = 63/16 = 3.9375
Step-by-step explanation:
Tan ∠E = 63/16 = 3.9375
Answer:
Try 63/16 which is 4.0625
Step-by-step explanation:
Again im sorry if its incorrect. XD hope it helps tho. doing the rest o ur question noe .. tehe
You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.
You miss a payment. What are your fees plus interest for the month?
Answer:
$86
Step-by-step explanation:
first you gotta find the interest
4,600 * 1% = 46
so the interest is $46
then you add the interest and late fees together to get the payment for the month
46 + 40 = $86
your total cost is $86
The fess plus interest of the month will be $86 after missing a payment.
Given:
Balance = $4600
Interest rate = 0.01
Step 1: Calculate the interest for the month.
Interest for the month = Balance × Monthly Interest Rate
Substituting the value back to the formula
Interest for the month= $4,600 × 0.01
= $46
Step 2: Add the late payment fee.
Late payment fee = $40
Step 3: Total fees plus interest for the month.
Total = Interest for the month + Late payment fee
Total = $46 + $40
Total = $86
So, fees plus interest for the month when you miss a payment amount to $86.
Learn more about interest here:
https://brainly.com/question/28272078
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Equivalent ratio
44:99=
108:36=
33:9=
49:14=
Answer:
44:99 = 4:9
108:36 = 3:1
33:9 = 11:3
49:14 = 7;2
hope it helps
is 14:12 equivalent to 7:5
Answer:
Yep,
it is correct!
Answer:
No
Step-by-step explanation:
14:12 is not equivalent to 7:5 because if you divide 14 by 2, you would get 7. If you divide 12 by 2, however, you will get 6. So the equivalent ratio for 14:12 is 7:6.
3x - 4 + 2(-3 - 6x).
Answer:
-9x - 10
Step-by-step explanation:
Answer:
x=9/2
Step-by-step explanation:
So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.
Hey can you please help? I am struggling a lot don’t know how to solve this
Answer:
64.8
Step-by-step explanation:
Pythagoreon Theroem
a^2 + b^2 = c^2 in this situation it would actually be the opposite, seeing where the "x" is (on a leg) c^2 - b^2 = a^2. First take the square of 67 and 17
67 squared is 4489 and 17 squared is 289 then subtract both results
4489-289 = 4200 take the square root of this number
64.8074 (Round to the tenths 64.8)
What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤ -11
Answer:
I think it would be A.
Posted the next question!
Answer:
angle 3 and angle 2 are complementary angle.
Use the information in the figure. Find mZD. 106 D Drawing not to scale 37° 53
Answer: Its B
Step-by-step explanation: Hope this was helpful I am not to sure this is the right answer but let me know if it is
Allison is saving to buy a $500 bicycle by working during
summer vacation,
• The job pays her $8 for every 1 hour worked.
• Allison works exactly 20 hours each week.
If she works for 4 weeks and buys the bicycle, how much
money will she have left over?
Answer:
140.00
Step-by-step explanation:
20 x 4 = 80 hours worked
80 x 8.00 = $640.00
640.00 - 500.00 = 140.00
I need help with this.
Answer:
h
Step-by-step explanation
12 inches in 1 foot.
2.54 cm in 1 inch.
5x 12=60 inches
60 +4=64inches.
64 x 2.54=162.56 cm
Answer:
H. 162.56 cm
Step-by-step explanation:
12 inches in 1 foot.
2.54 cm in 1 inch.
5x 12=60 inches
60 +4=64inches.
64 x 2.54=162.56 cm
Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2 help asap!! im on a test
Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10
Answer:
4/4
Step-by-step explanation:
Find the probability that the team will win exactly one of the two matches
Answer:
The probability is 0.341
Step-by-step explanation:
Here, we want to calculate the probability that the student will win exactly one of the two matches
This means that;
If they win on Saturday, they lose on Sunday
or
If they lose on Saturday, they win on sunday
So either of the two scenarios will give that the team will win on either of the two days
Mathematically, we have that;
(0.45 * 0.33) + (0.55 * 0.35)
= 0.1485 + 1925
= 0.341
what does 9a^2 + 2b^2 if a=4 and b=7?
Answer:
242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
Given
9a² + 2b² ← substitute a = 4 and b = 7
= 9(4)² + 2(7)²
= 9(16) + 2(49)
= 144 + 98
= 242
The price of the shirt is 40$ the sale. tax is 8%
What is the total price for the shirt
A. 36.80
B. 33.20
C. 48.00
D 43.20
the correct answer is D 43.20
Answer:
A is the answer
Step-by-step explanation:
8% is the same same as 3.20$
So subtract that from 40$
Hope I could help !
Does a rotation preserve congruence
PLEASE HELP ASAP! DO IN 5 MINUTES! WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
Given
Hypotenuse (h) = 17 cm
perpendicular (p) = 8 cm
base (b) = ?
we know by using Pythagoras theorem
b = √h² - p²
= √ 17² - 8²
= √ 225
= 15 cm
or
YZ = 15 cm
Hope it will help :)❤
Simplify the expression 5^3 + 3(5 − 3).
Answer:
131
Step-by-step explanation:
Hope it helps ;)
this is too much for me
if you know please answer
Answer:
-4x + y + 6z
Step-by-step explanation:
Combine like terms (Terms with the same variable):
(2x + 5y - z) + (-6x - 4y + 7z)
Add straight across:
2x - 6x = -4x
5y - 4y = y
-z + 7z = 7z - z = 6z
-4x + y + 6z is your answer.
~
Answer:
-4x +y + 6z (Cyan answer)
A hospital has to be patrolled by security guards 24 hours a day. Seven security guards are ordered to split each day’s guard duty equally. How long will each security guard spend on guard duty in one day? Record your answer in hours rounded to the nearest tenth.
Answer:
3 hours
Step-by-step explanation:
24/7 = 3.42 hours and rounded that will be 3 hours
Find the gradient of the line segment between the points (8,6) and (10,12)
Answer:
3.
Step-by-step explanation:
The gradient = (12-6/(10-8)
= 6/2
= 3.
Given the equation x + 2y = 0, which equation will form a system of linear equations without a solution?
Please help
Answer:
2.5 and -0.75
help me pls and show work 8th grade math
Answer:
Find the slope this way Hanna,
Step-by-step explanation:
slope = m
m = (y2-y1) / (x2-x1)
you are given the two points
P1 = (-2,-6) in the form (x1,y1)
P2 = (2,2) in the form (x2,y2)
plug those into the slope formula above
m = (2-(-6) ) / (2 - (-2) )
m = (2 +6) / (2+2)
m = 8 / 4
m = 2
if you need more explanation just leave a comment, it will show up and I'll come look at your question
Help plzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
Y is the total cost, 22x is how many tickets bought, and 10 is the parking cost