Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
What is part A and B??
HELP PLEASE
Line CD passes through points C(3,5) and D(6, 0)., What is the equation of line CDin standard form?
O 5x+3y Mo
O 5x3y - 30
O 5xY
O 5x+v
30
18
Answer:
The answer would be B.) 5x - 3y = 30
i'm not sure what's the answer?
:)
i believe the answer is B.
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .
7(4p + 2q + 3r) =????????????
Answer:
28p+14q+21r
Step-by-step explanation:
7(4p + 2q + 3r)
Use distributive property
(7)(4p)+(7)(2q)+(7)(3r)
=28p+14q+21r
f(x) = 2x - 4
f(3) = [?]
Write an equation for the line with slope -5 and point (2,4).
Help me find the slope please
Please find the derivative of [tex]x3^{(2x^2-1)}[/tex]. Show all of your work and explain as much as possible.
Hello! :)
[tex]\large\boxed{\frac{dy}{dx} = 3^{(2x^{2} - 1)} (4x^{2}ln3 + 1)}[/tex]
Use the Product Rule to solve for the derivative:
[tex]\frac{dy}{dx}= f(x) * g'(x) + g(x) * f'(x)[/tex]
We can divide the expression into two different functions:
[tex]f(x) = x\\\\g(x) = 3^{2x^{2} -1}[/tex]
Use the Product Rule equation and the following rules to solve for the derivative:
Derivative of an exponential function with base other than e:
[tex]\frac{dy}{dx} a^{u} = a^{u} * u' * lna[/tex]
Power rule:
[tex]\frac{dy}{dx} x^{n} = nx^{(n-1)}[/tex]
Find the derivatives using the power rule and derivative of an exponential function. Plug these into the product rule equation:
[tex]\frac{dy}{dx} = x(3^{(2x^{2} -1)} * 4x* ln3) + (1)3^{(2x^{2} - 1)}[/tex]
Simplify by factoring out a common factor: [tex]3^{(2x^{2} - 1)}[/tex]
[tex]\frac{dy}{dx} = 3^{(2x^{2} - 1)}( x* 4x * ln3) + (1)[/tex]
Simplify further:
[tex]\frac{dy}{dx} = 3^{(2x^{2} - 1)} (4x^{2}ln3 + 1)[/tex]
This is the final derivative.
Answer:
[tex]3^{2x^2-1}+4ln(3)*3^{2x^2-1}x^2[/tex]
Step-by-step explanation:
[tex]x3^{(2x^2-1)}[/tex]
~Apply product rules
[tex]\frac{d}{dx}(x)3^{2x^2-1}+\frac{d}{dx}(3x^{2x^2-1})x\\\frac{d}{dx}=1\\(3^{2x^2-1})=4ln(3)*3x^{2x^2-1}x\\1*3^{2x^2-1}+4ln(3)*3^{2x^2-1}xx[/tex]
~Simplify
[tex]3^{2x^2-1}+4ln(3)*3^{2x^2-1}x^2[/tex]
Best of Luck!
I need help with this thx
Answer:
The answer is 86
Step-by-step explanation:
PEMDAS
5+9(1+2[tex])^{2}[/tex]
5+9[tex](3^{2})[/tex]
=5+(9)(9)
=5+81
=86
Hi, could i please get some help with this I forgot the formula for it..... THANKS!!
Answer:
b = 12
Step-by-step explanation:
a² + b² = c²
a and b are the length of the sides in the right triangle and c is the hypotenuse.
since we know one leg and the hypotenuse, we can find the other leg.
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b² = 144
b = 12
Answer:
The answer is 12
Step-by-step explanation:
the formula is A^2+B^2=c^2
9² + b² = 15²
81 + b² = 225
b² = 225 - 81
b² = 144
b = 12
Can some one help me.
¿Cuál de las alternativas representa el coseno del ángulo 8? 6 10 10 6 b. 10 0 В C C. 8 lo D. 6 A
Answer:
Can I aswer in english
Step-by-step explanation:
Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. This is an equation in two variables. What would be a solution (to the variable) above if she buys 2 pair of pants.
Answer:
She spent 51 dollars on pants and 22 on t-shirts so she bought 4 shirts
Step-by-step explanation:
Claire buys an item with a normal price of $24 but save six dollars by using a coupon what percentage off is this coupon
Answer:
[tex]\huge\boxed{\sf 25 \% \ off}[/tex]
Step-by-step explanation:
Normal Price = $ 24
Saved = $ 6
Discount %age:
[tex]\sf \frac{6}{24} * 100 \%\\\\\frac{1}{4} * 100\%\\\\= 25 \%[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which situation would require determining volume?
A. Rami wants to know how far it is around the border of his garden.
B. James wants to know how much dirt can fit into a box.
C. Eloise wants to know how tall her cabinet is.
D. Aisha wants to know how much space her rug covers.
Answer:
B. James wants to know how much dirt can fit into a box.
Step-by-step explanation:
Volume is the measurement of space that how an object or a thing take it or in other words the capacity of the object, thing or a figure
So as per the given options, the option B is correct as it represents the capacity of the dirt that could be fitted into a box
Therefore as per the given situation, the option B would be chosen
And, the same is to relevant
Which decimal is smaller?
0.33166667
0.3325
0.24958333
0.2775
PLEASE HELP : (3.8 x 10^8)(6.9 x 10^5) in Scientific Notation
Answer:
The scientific notation is 2.622 × 10^14
Step-by-step explanation:
If There was a game and the game cost 130$ and you only have 53$ what would you do to find the amswer
Answer:
130-53= $77
Step-by-step explanation:
Step-by-step explanation: games dont cost 130 dollars
14. What is the solution of the system?
5x - y= -7
3x - y= -2
-2.5, -5.5
-2.5, 11
5, 2.5
2.5, 5.5
Answer: -2.5, -5.5
Step-by-step explanation:
5x - y= -7
3x - y= -2 multiply by -1
5x - y= -7
-3x + y= +2 we add both equations
2x=-7+2, 2x=-5, x=5/2= -2.5
5(-2.5)-y=-7
- 12.5-y= -7 we simplify and get
-y=-7+12.5, -y=5.5, y=-5.5
Help me on this question pls
Answer:
d. x = 14; angle measurement is 28 degrees
Step-by-step explanation:
2x is equivalent 28 so divide 28 by 2 to get 14
Please answer and explain please asap
Answer:
Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know
Can anyone help me please??
PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)
Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)
Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)
Part D: f(x) = 4x - 3. Find f(5) (2 points)
Can someone help me please with the answers from one to 10 and tell me how you get it in a notebook please
a bag holds 6 tiles 2 lettered and 4 numbers what is the probability of drawing a number
Answer:
4/12 = 1/3
Step-by-step explanation:
not likley or
Answer:
[tex]\frac{4}{6} = \frac{2}{3}[/tex]
Step-by-step explanation:
Troy drives 65 miles west and then drives 72 miles north. How far is he from his starting point?
Answer:
132 miles away from the start
Step-by-step explanation:
First Troy went to the left 65 miles so he starts off 65 miles from the start then he goes 72 miles right so then he is 132 miles away
Y-3 = -(x-2)
in slope intercept form. PLEASE SHOW THE WORK.
Answer:
Y = -x + 5
Step-by-step explanation:
Y - 3 = -(x-2) -distribute
y - 3 = -x + 2 -add 3
y = -x + 5
Hope this helps. Pls give brainliest.
How can you write the number 1 as a power with base 2? a power with base 10?
Answer:
you would have to do this as a fraction
Step-by-step explanation:
By applying basics properties of logarithm [tex]2^1[/tex]written as [tex]10^(ln_{2} 10)[/tex]
Let us say
[tex]2^1 = 10^x[/tex]....equation(1)
Take logarithm both sides
What is a logarithm?In mathematics, the logarithm is the inverse function to exponentiation. This means the logarithm of a given number x is the exponent to Which another fixed number, the base b, must be raised, to produce That number x
for example, if:
[tex]b^x =a\\x = log_{b} a[/tex]
Equation 1 can be written as
[tex]ln 2 = ln (10)^x\\\\ln2 = xln10\\\\\\x= ln_{2} 10[/tex]
Thus, [tex]2^1[/tex] can be written as [tex]10^(ln_{2} 10)[/tex]
To get more about logarithms visit:
https://brainly.com/question/11495859
which of the following is true
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation: