The trigonometry expression which is not an identity is 1+cos² x/sin²x + 1. The Option A is correct.
What is a trigonometric identities?Trigonometric Identities refers to equalities that involve trigonometry functions and hold true for all variables in the equation. There are numerous trigonometric identities involving the side length and angle of a triangle.
The primary trigonometry functions are sine, cosine, and tangent, while the other three functions are cotangent, secant, and cosecant. All six trig functions are used to derive the trigonometric identities.
Read more about trigonometric identities
brainly.com/question/7331447
#SPJ1
Anyone know the diameter?
In the given circle the diameter is fοund tο be line segment BQ passing thrοugh centre O.
What is a circle?A circle is a clοsed, twο-dimensiοnal οbject where every pοint in the plane is equally spaced frοm a central pοint. The line οf reflectiοn symmetry is fοrmed by all lines that traverse the circle. Additiοnally, every angle has rοtatiοnal symmetry arοund the centre.
A circle is given with centre marked as O.
A circle is a 2D fοrm in geοmetry in which all οf the pοints οn its surface are equally spaced frοm its center.
The radius is the length frοm any pοint οn the surface tο the center.
A diameter is a chοrd that is equidistance frοm centre οf the circle.
Here οnly the straight line is equidistance frοm centre οf the circle.
That line is BQ.
Thus, In the given circle the diameter is fοund tο be line segment BQ passing thrοugh centre O.
To learn more about circle from the given link
https://brainly.com/question/26594685
#SPJ1
ALGEBRA HW!! I WILL GIVE BRAINLYEST
please answer both questions parts.
The table of original value and rounded values are
x y
0.2 0
0.5 1
0.9 1
1.08 1
1.49 1
1.72 2
2.3 2
2.94 3
The graph is attached
How to make the graphThe graph is made in a cartesian coordinate by tracing the point of intersection of the two points
The table is represented as ordered pair as (original value, rounded value) for the given x and y values:
(0.2, 0), (0.5, 1), (0.9, 1), (1.08, 1), (1.49, 1), (1.72, 2), (2.3, 2), (2.94, 3)
The graph is a scattered plot and its attached
Learn more about ordered pairs at:
https://brainly.com/question/1528681
#SPJ1
a) Supplementary angles are congruent.
O Always
O Sometimes
O Never
What is the most appropriate measure of center for the data set? A line plot showing number of siblings for seventh graders. There are 2 dots above zero, four dots above one, two dots above two, two dots above three, no dots above 4, 5, 6, or 7, one dot above eight, and no dots above 9. Savass easybridge btw 30 pts
Median is most appropriate since it is not affected by outliers or extreme values, and gives a more representative estimate of the typical number of siblings for seventh graders. Mode can also be considered since it represents the most frequent value, but it may not be as representative as the median in this case.
What is mean?
In statistics, the mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the total number of values.
It is commonly referred to as the "average." The mean is often used as a summary statistic to describe the typical value in a dataset. It is sensitive to outliers, meaning that extreme values can significantly influence the value of the mean. The mean is also widely used in hypothesis testing and statistical inference.
To know more about Mean related questions, visit:
https://brainly.com/question/30891252
#SPJ1
Ruggiero Brothers Oil has an R85 000 liability it must pay four years from today. The company is opening a savings account, so that the entire amount will be available when this debt needs to be paid. The plan is to make an initial deposit today, and then deposit an additional R16 000 each year for the next four years, starting one year from today. The account pays a 6% rate of return. How much does the firm need to deposit today?
Answer:
Step-by-step explanation:
To determine the amount that Buggiero Brothers Oil must deposit today in order to have enough money to pay the R85 000 liability four years from today, we can use the present value formula:
Present Value (PV) = Future Value (FV) / (1 + r)^n
where:
- FV is the future value, which is R85 000
- r is the annual interest rate, which is 6%
- n is the number of years until the liability needs to be paid, which is 4
To calculate the future value of the annual deposits of R16 000, we can use the future value of an annuity formula:
FV = PMT x [(1 + r)^n - 1] / r
where:
- PMT is the annuity payment, which is R16 000
- r is the annual interest rate, which is 6%
- n is the number of years of the annuity, which is 3 (since the first payment is made one year from today)
Plugging in the numbers:
FV = R16 000 x [(1 + 0.06)^3 - 1] / 0.06
FV = R61 719.56
Therefore, the total future value that Buggiero Brothers Oil will have in four years, including the initial deposit and the annual payments, will be:
FV = R85 000 + R61 719.56
FV = R146 719.56
Plugging in the numbers to the present value formula:
PV = R146 719.56 / (1 + 0.06)^4
PV = R116 442.12
Thus, Buggiero Brothers Oil needs to deposit R116 442.12 today to have enough money to pay the R85 000 liability four years from today, assuming a 6% rate of return.
[tex]8x ^{2} y + 12xy - 16xz[/tex]
Factorize the expression
The factοrs οf the expressiοn is 4x(2xy+3y-4z).
What is factοrizatiοn?Tο factοrise an algebraic statement, we first identify the terms' highest cοmmοn factοrs and then arrange the terms intο grοups in accοrdance with thοse grοups. In plain English, factοrizatiοn is the prοcess thrοugh which an algebraic expressiοn gets expanded in the οppοsite directiοn.
Here the given expressiοn is ,
=> [tex]8x^2y+12xy-16xz[/tex]
Nοw factοrizing the given expressiοn then,
=> 4×2×x×x×y+4×3×x×y-4×4×x×z
=> 4x(2xy+3y-4z)
Hence the factοrs οf the expressiοn is 4x(2xy+3y-4z).
To learn more about factorization refer the below link
https://brainly.com/question/18187355
#SPJ9
work out the product of 1 and 3/3 and 1 and 2/6 give your answer in its simplest form
Answer:
To multiply 1 3/3 by 1 2/6, we can first convert these mixed numbers to improper fractions, then multiply them together, and finally simplify the result to its simplest form.
1 3/3 can be written as 4/3 (since 1 whole and 3/3 is equivalent to 4/3)
1 2/6 can be written as 8/6 (since 1 whole and 2/6 is equivalent to 8/6)
Now, we can multiply these two fractions together:
4/3 x 8/6 = (4 x 8) / (3 x 6) = 32/18
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2:
32/18 = (2 x 16) / (2 x 9) = 16/9
Therefore, the product of 1 3/3 and 1 2/6 is 16/9, or 1 and 7/9 in mixed number form, in its simplest form.
Determine which expression is equivalent to
3
4
−
x
(
1
2
−
5
8
)
+
(
−
3
8
x
)
4
3
−x(
2
1
−
8
5
)+(−
8
3
x).
A
−34x−
4
3
x
B
12x
2
1
x
C
18−78x
8
1
−
8
7
x
D
34−14x
4
3
−
4
1
x
Answer: We can simplify the expression step by step:
3/4 − x(1/2 − 5/8) + (−3/8)x
3/4 − x(-1/8) + (−3/8)x
3/4 + x/8 − 3/8x
Multiplying everything by 8 to get rid of the fractions:
6 − x + (−3x)
6 − 4x
Therefore, the equivalent expression is D) 34 - 14x / (4/3).
Step-by-step explanation:
A box contains four apples, six oranges, and a pear. Preston reaches into the box and selects two of the 11 fruits uniformly at random without replacement. Let m/n be the probability that he selects an apple and an orange, where m and n are relatively prime positive integers. Find m+n.
the answer is m + n = 24 + 55 = 79.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
There are two ways this can happen: either he selects an apple first and then an orange, or he selects an orange first and then an apple. We can compute the probability of each of these events separately and then add them together.
First, let's consider the probability that Preston selects an apple first and then an orange. The probability of selecting an apple first is 4/11, and then the probability of selecting an orange from the remaining 10 fruits (which includes 3 apples and 6 oranges) is 6/10. So the probability of this event is (4/11) * (6/10) = 24/110.
This can be simplified by dividing the numerator and denominator by 2:
48/110 = 24/55
So the probability that Preston selects an apple and an orange is 24/55. Therefore, the answer is m + n = 24 + 55 = 79.
Learn more about probability, by the following link.
brainly.com/question/24756209
#SPJ1
It takes 3 friends, who all paint at the same rate, 9 hours to paint a room together. How many would it take for only 1 of the friends to paint the room?
a. 3
b. 6
c. 9
d. 27
ANSWER: 27 because the less people there is the more longer it takes
the population of a small town can be modeled with the function P(t)=18,751(1,09)^(t). Which statement about this situation is true?
A.The population will decrease by 9%.
B. The population will increase by 9%.
C. The population will increase by 1.09%.
D. The population will decrease by 1.09%.
PLEASE HELP ASAP!!
Thank You!
Statement B is true: The population will increase by 9%.
What are function's different types?Various Functions:
A single function (Injective function) Many – one function. From onto function (Surjective Function) Function is into. polynomial operation.
P(t)=18,751(1.09)t is the population function, where t is the time in years.
The function's growth factor or multiplier, which is bigger than 1, is represented by the expression (1.09t). In other words, the population is growing over time.
Finding the difference between the final and starting values, dividing by the initial value, and then multiplying by 100% will give us the percentage growth in the population.
Let's contrast the population at t=0 and t=1 to see how they differ:
P(0) = 18,751(1.09)^0 = 18,751
P(1) = 18,751(1.09)^1 = 20,436.59
In the last year, the population has grown from 18,751 to 20,436.59.
The population has grown by the following amount:
[(20,436.59 - 18,751)/18,751] × 100% ≈ 9.0%
Thus, the population will grow by 9%, as stated in statement B.
To know more about Function visit:
https://brainly.com/question/14996337
#SPJ1
Please Help! A picture is 60cm wide and 1.8 meter long.The ratio of its width to its perimeter in the lowest term is?
Answer:
60:61.8 OR 10:10.3
Step-by-step explanation:
Cant be simplified - unless your in advanced classes. If so
10:10.3
Answer:
Step-by-step explanation:
1/3 or 0.3 or 33.333333% or 3^-1 or 3.333333 x 10^-1
Help asap will give brainiest
Use the image to determine the line of reflection.
4
3
2
1
0
?
Ty
5
-6
-7
-8
-9
-10
1
2
B
A
A
3₂
Α',
В'
4
E
5
E
6
с
Reflection across x = 6
D'
Reflection across the x-axis
Reflection across y = -3
C₁
Reflection across the y-axis
Answer: D
Step-by-step explanation: so if we look at the picture, youll notice 2 things right off the bat, firstly, the top shape goes over the y axis, so that wont work, secondly, the shapes are on the same side of the x axis (the positive side) so that wouldnt work, the last thing we now have to look at is making the shapes even, essentially if you were to flip one shape over a certain distance, the mirrored shape needs to be the same distance you flipped the first shape. In this case, if we flip shape 1, over -3, the other shape will be 6 spaces away from the 1st shape, because you need to also move the second shape 3 spaces away from where you flipped the first shape.
side note: reflecting over the x axis or y axis, means the line of reflection is equal to 0 on either the y axis or x axis
To try to make this less confusing, another way to find the reflection is by evenly counting the shapes to the middle, how-ever many squares/spaces it takes for both shapes to reach the center of the two in this case, is how many spaces they are reflected.
The image undergoes a reflection at y=-3, Option D is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.
Reflections are congruence transformations that generate a mirror image of an object, without changing its size or shape.
In the given figure the above image is original and it is flipped to form the image which is below the x axis.
In this case, if we flip shape 1, over -3, the other shape will be 6 spaces away from the 1st shape, because you need to also move the second shape 3 spaces away from where you flipped the first shape.
Hence, the image undergoes a reflection over y axis which is at y=-3.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ5
PLs help Thank u!!!!!!!!!!!!!!!!!!!!!!!!
Using a trigonometric relation, we can see that the values of x and y are:
y = 25.98
x = 15
How to get the values of x and y?Here we can see a right triangle, where we know the interior angles and the length of the hypotenuse.
To get the lengths of the legs, we can use trigonometric relations, like:
cos(a) =(adjacent cathetus)/hypotenuse.
For example, if we want to find y, then the angle at which this side is adjacent is the 30° one, now replacing the known values in the formula we will get:
cos(30°) = y/30
cos(30°)*30 = y = 25.98
And to get the value of x, we should use the 60°angle, so:
cos(60°) = x/30
30*cos(60°) = x = 15
These are the two lengths we wanted to get.
Learn more about right triangles at:
https://brainly.com/question/2217700
#SPJ1
Solve the right triangle (tan,sin,cos)
The value of the trigonometric functions for the right triangle is tan(29) = 0.518. cos(29) = 0.838. sin (29) = 0.435.
What are basic trigonometric functions?The sine, cosine, and tangent trigonometric ratios are the three most important ones. These are their definitions:
Sine (sin) is the proportion of a right triangle's hypotenuse to the length of the side that faces an angle.
The length of the side next to an angle in a right triangle divided by the length of the hypotenuse is known as the cosine (cos).
In a right triangle, the tangent (tan) is the ratio between the lengths of the sides that face each other and the angle.
These ratios are used in trigonometry to connect the angles and sides of right triangles, and they may be used to a number of triangle- and other geometric shape-related problems.
In the given triangle using the sum of interior angle of triangle we have:
180 - 90 - 29 = 61
The measure of the third angle is 61 degrees.
Now, tan(61) = XZ/XY
XZ = XY * tan(61)
XZ = 18 * 1.927 = 34.686
Now, using the Pythagoras theorem we have:
ZY² = XZ² + XY²
ZY² = 34.686² + 18²
ZY² = 1712.3996
ZY = 41.38
Now, the value of:
sin(29) = opposite/hypotenuse = XY/ZY = 18/41.388 = 0.435
cos(29) = adjacent/hypotenuse = XZ/ZY = 34.686/41.388 = 0.838
tan(29) = opposite/adjacent = XY/XZ = 18/34.686 = 0.518
Learn more about trigonometric functions here:
https://brainly.com/question/14746686
#SPJ1
How many solutions does it have ?
Y =4
Y =4x-1
Answer:
1 solution
Step-by-step explanation:
Y = 4
Y = 4x - 1
Substitute value of Y here,
4 = 4x - 1
4 + 1 = 4x
5 = 4x
5/4 = x
1.25 = x
•°• The given equation can have only 1 solution, i.e, a linear equation with 1 variable gives only 1 solution.
______
hope this helps!
Let f(x)=1/4x^3+x−1 . What is the value of (f−1)′(x) when x = 3?
For the given expression the value of [tex](f^{-1})'(3)[/tex] ≈ 0.052.
What is expression?
In mathematics, an expression is a combination of numbers, variables, operators, and symbols that represents a mathematical quantity or relationship.
To find the derivative of the inverse function, we use the formula:
[tex](f^{-1})'(x) = 1 / f'(f^{-1}(x))[/tex]
First, we need to find the inverse function [tex]f^{-1(x)[/tex]. To do that, we can solve for x in terms of f(x):
[tex]f(x) = (1/4)x^3 + x - 1\\y = (1/4)x^3 + x - 1\\x^3 + 4x - 4 = 4y\\x^3 + 4x - 4 = 4f^{-1}(x)\\f^{-1}(x) = (x^3 + 4x - 4) / 4[/tex]
Now, we can find the derivative of the inverse function:
[tex](f^{-1})'(x) = 1 / f'(f^{-1}(x))\\(f^{-1})'(3) = 1 / f'(f^{-1}(3))[/tex]
To find [tex]f^{-1}(3)[/tex], we plug in x = 3 into the expression for [tex]f^{-1}(x)[/tex]:
[tex]f^{-1}(3) = (3^3 + 4(3) - 4) / 4 = 8.75[/tex]
To find [tex]f'(f^{-1}(3))[/tex], we plug in [tex]f^{-1}(3) = 8.75[/tex] into the expression for f'(x):
[tex]f'(8.75) = (3/4)(8.75)^2 + 1 = 19.2031[/tex]
Now we can find the derivative of the inverse function at x = 3:
[tex](f^{-1})'(3) = 1 / f'(f^{-1}(3))\\(f^{-1})'(3) = 1 / f'(8.75)\\(f^{-1})'(3) = 1 / 19.2031[/tex]
[tex](f^{-1})'(3)[/tex] ≈ 0.052
To learn more about expression visit:
https://brainly.com/question/14083225
#SPJ9
According to the 2016 issue of Sociological Statistics, in the 2015, the mean weight for boys
in the 4th grade is 64.9 pounds. If we assume the mean is still 64.9, find the probability that
the mean weight for 100 boys in the 5th grade will be between 60 and 70 pounds. Assume
that s = 17.5 pounds.
The probability that the mean weight for 100 boys in the 5th grade will be between 60 and 70 pounds is approximately 0.674.
What is central limit theorem?According to the central limit theorem, a statistical theory, regardless of the population distribution's form, the distribution of sample means tends to resemble a normal distribution as sample size grows. This implies that the distribution of the sample means will be about normal if we take several random samples from a population.
Given that, mean weight for 100 boys in the 5th grade will be between 60 and 70 pound.
The z-score is given as:
z = (x - μ) / (s / √(n))
Substituting the values:
z = (70 - 64.9) / (17.5 / √(100)) = 1.143 = 0.674
z = (60 - 64.9) / (17.5 / √(100)) = -1.143 =0.674
Hence, the probability that the mean weight for 100 boys in the 5th grade will be between 60 and 70 pounds is approximately 0.674.
Learn more about central limit theorem here:
https://brainly.com/question/17092136
#SPJ1
what's the square root of 144
[tex]\sqrt{144} =12\\12*12=144[/tex]
6 2/5 subtract 2 9/10
Answer: 9 3/10
Step-by-step explanation:
6 + 2/5 + 2 + 9/10= 6 + 2 = 8 = 2/5 + 9/10= 4/10 + 9/10= 13/10= 1 3/10= 8 + 1 + 3/10= 9 3/10
Pls answer today and fast!!!! Use the tools below to make a triangle with angle measures or 60 degrees, 40 degrees, and 80 degrees.
An angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex. Angles are measured in degrees or radians and are typically denoted by symbol ∠ followed by the name of the vertex, like ∠ABC.
What is the Angle?The size of angle is determined by amount of rotation needed to bring one of rays or line segments into coincidence with others.
Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), or reflex (greater than 180 degrees).
Angles are fundamental to geometry and have many applications in physics, engineering, and other fields.
This is because the sum of the angles in a triangle must always be 180°, and 40° + 60° + 80° = 180°.
However, the angles do not satisfy the conditions of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, It is not possible to construct a triangle with angle measures of 40°, 60°, and 80°.
Learn more about angle here:
https://brainly.com/question/28451077
#SPJ1
Question 7
Suppose the graph represents the scale drawing for a fence that Tara is building for a new city dog park. Each unit on the graph represents 12 yards. After studying the scale drawing, Tara decides to build a fence that encloses a smaller area. If Tara dilates rectangle ABCD by a scale factor of 0.75, and fencing costs $6.39 per yard, how much will she spend on fencing?
The total cost to fence the rectangular yard is given as follows:
$1,610.28.
How to obtain the perimeter of a triangle?The perimeter of a rectangle is the total distance around its outer boundary. To find the perimeter of a rectangle, you need to add up the lengths of all four sides.
If a rectangle has length l and width w, then its perimeter P is given by the equation presented as follows:
P = 2l + 2w
Considering the scale factor of 0.75, the distance represented by each unit on the graph is given as follows:
0.75 x 12 = 9 yards.
Hence the dimensions of the rectangle are given as follows:
Length of 8 x 9 = 72 yards.Width of 6 x 9 = 54 yards.The perimeter of the fence is then given as follows:
2 x (72 + 54) = 252 yards.
It costs $6.39 per yard, hence the total cost to fence the yard is given as follows:
252 x 6.39 = $1,610.28.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/24571594
#SPJ1
The entry fee to East Egg Hunt Event is $7.00. Each ride requires a ticket that cost $2.00. Cassie spent a total of $45.00. How many tickets Cassie Purchase?
Answer: 19 tickets
Step-by-step explanation: $45 - $7 = 38 38 divided by $2 = 19 tickets
Kara bought two birthday gifts for her twin nephews. Each gift cost $12.50. Sales tax was 6.75. What was the total cost for the gifts, including tax?
Answer:
if sales tax was 6.75 dollars, then 31.75 is the total cost. If it’s in percent, the total cost is 26.69
Step-by-step explanation:
1). 12.5(2) = 25
2). 25 + 6.25 = 31.25
OR
2). 25(1.0675)=26.69
is AP stats easy???????
not to sure about that try researching that
depends on ur teacher for me its really hard but the material wouldnt be too bad if you have a good teacher. it contains a lot of logistics and specific wording but memorization is key
Which function is a translation one unit right of the function
f(x) = log x?
Answer:
g(x)= log(x-1)
Step-by-step explanation:
g(x) = f(x-1)
b) Find the domain and range of g(x) 1÷(x-2) +5. what is the h value and k value for g(x)?
The domain = {x ∈ R : x ≠ 2} and the range = {g ∈ R : g ≠ 5} In light οf this, g(x) has a h value οf 2 and a k value οf 5.
What is an illustratiοn οf range?The difference between bοth the highest & lοwest values in statistics fοr a particular data cοllectiοn is called the range. Fοr instance, if the data set is 2, 5, 8, 10, 3, then the range is 10 - 2 = 8.
The definitiοn οf the functiοn g(x) is.
g(x) = 1/(x - 2) + 5
As the denοminatοr οf a fractiοn cannοt be zerο, the dοmain οf g(x) includes all real integers with the exceptiοn οf x = 2.
The range οf g(x) can be fοund by cοnsidering the behaviοr οf the functiοn as x apprοaches infinity οr negative infinity. As x apprοaches infinity οr negative infinity, the value οf g(x) apprοaches 5 (since the 1/(x - 2) term becοmes negligible cοmpared tο 5). Therefοre, the range οf g(x) is all real numbers except values very clοse tο 5.
It is pοssible tο rewrite the functiοn g(x) as fοllοws:
g(x) = (1/(x - 2)) + 5
This is in the fοrm:
g(x) = a/(x - h) + k
Where a = 1, h = 2, and k = 5.
Therefοre, the h value fοr g(x) is 2, and the k value fοr g(x) is 5.
To know more about range visit:
https://brainly.com/question/28135761
#SPJ1
What is the function’s average rate of change from x=-1 to x=1
Answer:
The average rate of change of the function from x=-1 to x=1 is 6.
Step-by-step explanation:
The average rate of change of a function from x=-1 to x=1 is the change in the output of the function (y-value) divided by the change in the input of the function (x-value). In other words, it is the slope of the line connecting the two points (x=-1 and x=1).
Cyndi is making a mixture of cashews and peanuts the cashews are $7 per pound and $3 a pound for peanuts. Cyndi wants 20 pounds of the mixture which will cost $5.40 per pound .. what's the system and how much would she need to equal $108
The amounts of each substance needed to obtain a mixture of 20 pounds at a price of $5.4 per pound is given as follows:
Cashews: 12 pounds.Peanuts: 8 pounds.How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: amount of cashews.Variable y: amount of peanuts.The mixture has a total of 20 pounds, hence:
x + y = 20.
y = 20 - x.
The total cost of the mixture is of $108, as 108/20 = 5.4, hence:
7x + 3y = 108
Replacing the second equation into the first, the value of x is given as follows:
7x + 3(20 - x) = 108
4x = 48
x = 12.
Then the value of y is given as follows:
y = 20 - 12
y = 8.
More can be learned about a system of equations at https://brainly.com/question/30374328
#SPJ1
Find the value of angle ZOX
using the image below
Answer: 64°
Step-by-step explanation:
Had this problem and got it right