The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given trigonometric expressions is,
[tex]f(\theta)=\cos\theta[/tex]
The cosine function is the periodic function. The function repeats itself after the 2π. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]
The cosine function is an even function. Thus,
[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]
Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
#SPJ1
What is the range of the function f(x) = x^3 - 3x^2 - 4x
please help me answer this
Answer:
(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)
Step-by-step explanation:
In these intervals, the y value is decreasing.
t
Angle Relationships:Question 4
Parallel Lines m and n are cut by a transversal, t, as shown.
If mz3 is 60°, what is the m25?
N
Select one:
m
3/4
o
O
60° because 23 and 25 are alternate exterior angles
O
60° because 23 and 25 are alternate interior angles
6/5
7/8
n
O 60° because 23 and 25 are supplementary angles
60" because 23 and 25 are corresponding angles
Answer: 60° because 23 and 25 are alternate interior angles
Step-by-step explanation:
Last one guyss huhu thank youu
[tex] \huge \rm \color{red}help \: pls[/tex]
Answer:
1/2 split into 1/3 = 1/6
how much gift warp is needed to cover a box which measures 3 feet by 2 feet by 3 feet
Answer:
42 ft²
Step-by-step explanation:
You need the total surface area of the box which is shaped like a rectangular prism.
surface area = area of bases + lateral area
Let length = 3 ft, width = 2 ft, height = 3 ft.
The base is a rectangle 3 ft by 2 ft.
The perimeter of the base is 2(3 ft + 2 ft) = 10 ft
The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²
The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²
The total surface area is 30 ft² + 12 ft² = 42 ft²
11, 15, 19,... Find the 46th term.
WILL GET BRAINLIEST!!!!!!!!
Answer:
191
Step-by-step explanation:
the rule is +4 so 11+45*4=191 (45 is the number not including the first one)
191 is the answer
Answer:
191
Step-by-step explanation:
First, determine if the sequence is arithmetic or geometric.
If it is arithmetic, the difference between consecutive terms is constant.
If it is geometric, the ratio between consecutive terms is constant.
[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]
As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 11d = 4Substituting the given values into the formula to find an equation for the nth term:
[tex]\implies a_n=11+(n-1)4[/tex]
[tex]\implies a_n=4n+7[/tex]
Therefore, to find the 46th term, substitute n = 46 into the equation:
[tex]\implies a_{46}=4(46)+7=191[/tex]
Find the value of x.
390
107°
to
Answ.er:
x=146°
Step-by-step explanation:
the Exterior angle theorem states the exterior angle is equal to the sum of angle 1 and angle 2.
So add 107 and 39 to get 146.
I need this answered please
Answer:
See the attachment.
Find the next two terms in this
sequence.
1, 2, 6, 24, 120, [?],[]
1x1=1
1x2=2
2x3=6
6x4=24
24x5=120
120x6=720
720x7=5040
the answer is 720 and 5040
1) A school has 1500 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 3% of the vote
Using the z-distribution, it is found that 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
We have no estimate for the true proportion, hence we use [tex]\pi = 0.5[/tex], and solve for n when M = 0.03. Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{(0.5)(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.03}\right)^2[/tex]
n = 1067.11.
Rounding up, 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
In the wholesale store you have to pay 1500 EUR for 120 identical tea boxes. How many such tea boxes can be purchased for 900 Eur?
Find the circumference.
Use 3.14 for π.
O
r = 6 ft
C = [?] ft
C = πd
Answer:
37.68 ft
Step-by-step explanation:
Formula
Diameter = 2r (where r is the radius)
Circumference of a circle = πd (where d is the diameter)
Given:
π = 3.14r = 6 ft⇒ Diameter = 2 × 6 = 12 ft
Substituting the given values into the formula:
⇒ C = πd
⇒ C = 3.14 × 12
⇒ C = 37.68 ft
5. Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.
Step-by-step explanation:
Formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
……………………………………………………………
if c, d, e, and f are positive real numbers
then
c f + d e is a positive number.
then
The product of the two complex numbers
lies in Quadrant 1 or Quadrant 2.
Since , c, d, e, and f are positive real numbers
Then
The two complex numbers c + d i and e + f i lie in Quadrant 1
We want to find an example of two complex numbers
That lie in Quadrant 1 ,such that ,their product lies in the other possible
Quadrant, which is Quadrant 2.
EXAMPLE:
Let c + d i = 1 + i
e + f i = 2 + 3i
By applying the formula:
(c + d i)(e + f i) = (c e - d f) + (c f + d e) i
We get :
(1 + i)(2 + 3i) = -1 + 5i
Which is equivalent to tan θ?
A sinθ/cosθ
B secθ/cscθ
C cosθ/sinθ
D cscθ/secθ
Which one is it, and answer quick, and don't be a troll.
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
What is tanθ?Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
tanθ = y/x, sinθ = x and cosθ = ySubstituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
Learn more about tanθ here:
https://brainly.com/question/26609988
#SPJ1
please help! also please explain how to solve
Answer:
C
Step-by-step explanation:
The fast way: Testing the options!
Teacher loving way:
An= d×n + A0
d= A4-A3=A5-A4=A6-A5...= 6
A3= 0 = 6×3 + A0
A0= -18
Then the equation is: An= 6n - 18
HELPP PLEASEEE ASAP!!!
Answer:
well the odds would be 2:3 because 1 3 5 and 7 are prime numbers so the pin might just land on one of them
Step-by-step explanation:
Quick! What is a Two-Sided Variable Equation with the Answer of 16! (EX: of a Two-Sided Variable (7x = −x+24))
Answer:
2x + 4 = 20 + x
Step-by-step explanation:
X = 16
X+4 = 20
2x + 4 = 20 + x
what are the solutions to the equation 3/4x^2=48
A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?
Answer: (0, -6)
Step-by-step explanation:
The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).
2/3 to the power of -3
Answer:
The answer is 54.
Help!! I'm confused.
Answer:
12 seconds
Step-by-step explanation:
we need to find the Lcm which is 12
they both flash after 12 seconds
Answer:
Every 12 seconds
Step-by-step explanation:
You must find the LCM (Least common denominator)
4 x 3 = 12
Because 3 goes into 6 and 4 is four so the LCM is 12
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
If the simple interest on $7000 for 10 years is $6300, then what is the interest rate?
Will mark brainliest if given the right answer Solve the given system of equations. y = 8x + 6
y = 32x
Answer:
( [tex]\frac{1}{4}[/tex], 8 )
Step-by-step explanation:
y = 8x + 6 → (1)
y = 32x → (2)
substitute y = 32x into (1)
32x = 8x + 6 ( subtract 8x from both sides )
24x = 6 ( divide both sides by 24 )
x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]
substitute this value into either of the 2 equations and solve for y
substituting into (2)
y = 32 × [tex]\frac{1}{4}[/tex] = 8
solution is ( [tex]\frac{1}{4}[/tex], 8 )
A triangular pyramid…
Pls help me out
Suppose that x has the density function f(x) = cx 0 < x < 2 identify c
The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
What is probability density function?The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.
Given that:
[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]
Here we can see that the value of x is varies as 0,1,2
So at 0,1,2 the value of the function is
[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]
So the probability density function is given as:
[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]
[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]
Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.
To know more about probability density function follow
https://brainly.com/question/14214648
#SPJ4
The diagram below shows a rectangle with a shaded region. What is the area, in square meters, of the shaded region in the diagram?
I really need help
Answer:
Step-by-step explanation:
Area of shaded region= area of rectangle- area of triangle
Area of rectangle= l×b
=9×3
= 27m²
Area of triangle= [tex]\frac{1}{2}[/tex] b×h
=[tex]\frac{1}{2}[/tex] ×3×3
=[tex]\frac{9}{2}[/tex] ⇒4.5
Area of shaded region= area of rectangle- area of triangle
=27-4.5
=22.5m²
HELP DUE AT 11:59!!!
Answer:
8x-9
Step-by-step explanation:
You have to combine like terms in order to simplify this problem.
The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.
Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.
Answer:
8×-9
Step-by-step explanation:
You have to combine like terms in order to simplify this problem.
The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.
Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.
HOPE IT HELPS.
PLEASE MARK ME AS BRAINLIEST.
yeah I still don't get how the pythagorean theorem works sue me.
Answer:
22.25
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
a---leg a=17
b---leg b=?
c----hypotenuse c=28
[tex]17^2+b^2=28^2\\289+b^2=784\\b^2=495\\\sqrt{b^2}=\sqrt{495}\\b = 22.25[/tex]
Triangle XYZ with vertices X ( 5 , 7 ) , Y ( 8 , 3 ) , and Z ( 2 , 3 ) is reflected over the y-axis and translated up 4 units to form triangle X ` Y ` Z ` . What is the length of segment Y ` Z ` ?
After the reflection and the translation of XYZ, the length of segment Y'Z' is 6 units
How to determine the length of segment Y'Z' ?The transformation is given as:
Reflection across the y-axisTranslation 4 units upBoth transformations are rigid transformations.
This means that the lengths YZ and Y'Z' would remain the same
The coordinates are given as:
Y = (8,3)
Z = (2,3)
Both points are on the same y coordinate.
So, the length YZ is
YZ = 8 - 2
Evaluate
YZ = 6
Hence, the length of segment Y'Z' is 6 units
Read more about transformation at:
https://brainly.com/question/4289712
#SPJ1
