Question 3 of
Select the correct answer.
A meteorologist observed the temperature in Clarkton over a two-year period. The graph below shows the average monthly
temperature in Clarkton during this period.
The function describing this graph is a transformation of the parent cosine function, y = cos(z).
Which interval is closest to the range of the transformed function ?
Answers
With respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.
How to find the functions corresponding to each graph based on the period of a function?Mathematically speaking, cosines are periodic functions, and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. The period in daughter functions may vary by means of the following form:
y = cos Ax (1)
Where:
x - Independent variable
y - Dependent variable
A - Period width
From the graph, it is observed that with respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.
To know more about parent functions follow brainly.com/question/26369761
#SPJ1
Answer: The answer is [0,65]
Step-by-step explanation:
Related Questions
The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d) find an expression for c and d in terms of a and b hence find the inverse of (2,1)
Answers
a. The expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴)a] + 1/(a - b) and d = -2b²/(a⁴ - b⁴)b. The inverse of (2,1) is (13/15, -4/15)
The question has to do with binary operation.
What is a binary operation?A binary operation is a rule of mathematical operation on two sets of elements defined on a given set.
a. How to find the expression for c and dSince The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d).
Let (e, e') be the identity element.
We know that for any binary operation * on a given set, a*e = a where e is the identity element.
So, (a,b)*(e,e') = (a,b)
So, (a,b)*(c,d) = (ac - bd, ad + bc)
(a,b)*(e,e') = (ae - be, ae' + be')
Since (a,b)*(e,e') = (a,b)
(ae - be, ae' + be') = (a, b)
So,
ae - be = a (1) and ae' + be' = b (2)e = a/(a - b) and e' = b/(a + b)
So, (e, e') = (a/(a - b), b/(a + b))
Also, for any binary operation * under a given set a*a⁻¹ = e where a⁻¹ = inverse of a.
Since (c,d) is the inverse of (a,b), we have that
(a,b)*(c,d) = (e, e')
So, (a,b)*(c,d) = (ac - bd, ad + bc)
= (a/(a - b), b/(a + b))
So,
ac - bd = a/(a - b) (3) and ad + bc = b/(a + b) (4)From (3), c = bd/a + 1/(a - b)
Substituting c into (4), we have
ad + bc = b/(a + b)
ad + b[bd/a + 1/(a - b)] = b/(a + b)
ad + b²d/a + b/(a - b) = b/(a + b)
ad + b²d/a = b/(a + b) - b/(a - b)]
(a + b²/a)d = b[1/(a + b) - 1/(a - b)]
[(a² + b²)/a]d = b[a - b - (a + b)]/(a - b)(a + b)
[(a² + b²)/a]d = b[a - b - a - b)]/(a - b)(a + b)
[(a² + b²)/a]d = b(-2b)/(a² - b²)
d = -2ab²/[(a² - b²)(a² + b²)]
d = -2ab²/(a⁴ - b⁴)
Substitutind d into c, we have
c = bd/a + 1/(a - b)
c = -2ab³/(a⁴ - b⁴)a + 1/(a - b)
c = -2b³/(a⁴ - b⁴) + 1/(a - b)
So, the expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴) + 1/(a - b) and d = -2ab²/(a⁴ - b⁴)b. What is the inverse of (2,1)Since (c,d) is the inverse of (a,b) is
c = -2b³/(a⁴ - b⁴)+ 1/(a - b) and d = -2ab²/(a⁴ - b⁴)So, with a = 2 and b = 1, c = -2b³/(a⁴ - b⁴) + 1/(a - b)
= -2(1)³/(2⁴ - 1⁴) + 1/(2 - 1)
= -2/(16 - 1) + 1/1
= -2/15 + 1
= (-2 + 15)/15
= 13/15
So, with a = 2 and b = 1, d = -2ab²/(a⁴ - b⁴)
= -2(2)(1)²/(2⁴ - 1⁴)
= -4(1)/(16 - 1)
= -4/15
So, the inverse of (2,1) is (13/15, -4/15)
Learn more about binary operation here:
https://brainly.com/question/16827196
#SPJ1
The midpoint of EF is (-6, 1). One endpoint is E(-9, 7). Find the coordinates of endpoint F.
Answers
Answer:
Step-by-step explanation:
here is an solution :
Answer:
Its (-3,-5)
Step-by-step explanation:
Hope This Helps:))
How to name a angle in 4 different ways?
First answer and correct answer gets to be brainliest!
Answers
Hey there!
4 ways to name angles⇒ Use the vertex as the middle letter, and the point from each side (<ABC or <CBA)
⇒ Use the vertex only (<B)
⇒ Use a number (<1)
Classify angles according to their measure.⇒ Acute angle: less than 90°
⇒ Right angle: exactly 90°
⇒ Obtuse angle: between 90° and 180°
⇒ Straight angle: exactly 180°
Thank you,
Eddie
See the attachment for a visual!
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15
Answers
Answer:
2.57
Step-by-step explanation:
The mean absolute deviation(MAD) of a data set is given by the formula
[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]
n = number of data set values. Here n=7
[tex]\bar{x}=[/tex]mean of the data set values = [tex](20+16+21+16+22+16+ 15)/7 = 126/7 = 18[/tex]
[tex]x_{i}[/tex] are the n individual values
Substituting in the summation we get
MAD = [tex]\frac{1}{7} |20-18| + |16-18| + |21-18| + |16-18| + |22-18| + |16-18| + |15-18|\\= (2 + 2 + 3 + 2 + 4+ 2 + 3)/7\\= 18/7 = 2.571428 \\[/tex]
Rounded to the nearest hundredth, the answer is 2.57
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation. 0
Answers
Answer:
Start with equation,
y''(x) = f(x) = 6y/(10x-x²) about point x₀ = 5
Then,
y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….
by inspection,
y(5) = a₀ and y'(5) = a₁
then,
y''(5) = 6a₀/(50-25) = 6a₀/25
y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2
then,
y'''(5) = 6a₁/25 - 0 = 6a₁/25
y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³
then,
y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0
= 48a₀/625
So,
y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …
or
y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...
or
y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....
Learn more about equation here-
https://brainly.com/question/3391581
#SPJ4
trevor takes up a test at school and completes it in an hour. the test has two sections. if he takes 35 minutes to complete the first section, how much time does he have left to complete the second section? which equation would you use to answer this problem?
a) x + 2 = 35
b) 2x + 30 = 35
c) 2x + 30 + 60
d) x + 35 = 60
Answers
Answer:
I would use equation d
Step-by-step explanation:
because need to find out X which is the second section so you would do 60 subtract 35 which gives 25 so X would be 25 .
I hope this helped . if you need any more help pls ask :)
pls give brainliest if you like my answer :)
x + 35 = 60
Given Trevor completes the test in an hour and he completes the first section in 35 minutes, we can take notes:
• An hour consists of 60 minutes.
• Let x represent how many minutes Trevor has left to complete the second section.
• Let 35 represent the amount of time it took to complete the first section.
x + 35 = 60
To find out what x equals, we can use inverse operations:
60 - 35 = 25
Your final answer: Given Trevor completes the first section of the test in 35 minutes out of a segment of 60 minutes to complete the entire test, Trevor completes the second portion of the test in 25 minutes. If you need any extra help, do not hesitate to let me know and I will gladly assist you.
Suppose we want to choose 5 letters, without replacement, from 16 distinct letters.
(a) If the order of the choices is taken into consideration, how many ways can this be done?
(b) If the order of the choices is not taken into consideration, how many ways can this be done?
Answers
Answer: Your answers are
A. 1, 287 ways
B. 154,440 ways
Hope this helped :D
Please mark me brainliest
To the nearest whole number, what is the surface area of the right triangular prism?
Answers
Answer: 797.4 m²
Step-by-step explanation:
The surface area is just the total of the areas of each face of of a solid. In this solid, we have 2 triangles and 3 rectangles.
TrianglesWe know that the two triangles of this solid are congruent, so they will have the same area. Since the area of a triangle is [tex]\frac{1}{2}bh[/tex], two triangles would have an area of [tex]bh[/tex]. Hence, the total area is
[tex]A=9 * 15\\A=135[/tex]
RectanglesThe area of a rectangle is lw, where l is the length and w is the width. Let's find the total area of all of them.
[tex]A=9*16+15*16+17.4*16[/tex]
All of the areas are a product of some number and 16. This makes sense as the length of this prism is 16. We can un-distribute this 16 to make the calculation easier.
[tex]A=16(9+15+17.4)\\A=16(41.4)\\A=662.4[/tex]
TotalWe can add both totals to get the total surface area of the solid.
[tex]135+662.4\\=797.4[/tex]
The surface area of this right triangular prism is 797.4 m².
Use the diagram to complete the following tasks.
Given: S' is the midpoint of QT.
Finish the following statement: AQRSA_
Identify the congruent Zs.
Justify your answer.
R
S
Answers
This exercise is about a proof in Euclidian geometry. See the explanation below.
What is Euclidian Geometry?The study of solid and flat objects using the axioms and theorems developed by the Greek mathematician Euclid is known as Euclidean geometry (c. 300 bce).
What is the statement that completes the above proof?Given that S is the midpoint of [tex]\overline{QT}[/tex]:
Hence QS = TS ......................1
It is right to indicate that
PQ = TV ........................2
And ∠RSQ is vertically opposite to ∠TSV
Hence
∠RSQ = ∠TSV.........................3
Given 1, 2, and 3,
Δ QRS ≅ ΔVTS
Therefore,
Δ QRS ≅ ΔVTS
and ∠ RSQ can be termed to be congruent to ∠TSV.
What does it mean for an angel to be congruent?It is to be noted that the measure of an angle is the same for congruent angles. An ordinary pentagon, for instance, has five sides and five angles, each of which is 108 degrees.
The angles of a regular polygon will always be congruent, regardless of its size or scale.
Learn more about Euclidean Proof:
https://brainly.com/question/14470205
#SPJ1
Ron works at the local bookstore for an hour every day. He earns $5 daily from this job. If he adds this amount to his daily allowance, he has $70 at the end of each week. The amount of money Ron receives each week is represented by the equation 7(x + 5) = 70, where x is the amount of Ron's daily allowance. Plug the numbers from the set {5, 10, 15, 20} into the equation to find x, the amount of Ron's daily allowance.
Answers
The equation is true when we plug 5 in for x. So, x=5 and therefore Ron’s daily allowance is $5.
7(5+5) = 70
7(10) = 70
70 = 70 ✔️
7(10+5) = 70
7(15) = 70
105 = 70 ❌
7(15+5) = 70
7(20) = 70
140 = 70 ❌
7(20+5) = 70
7(25) = 70
175 = 70 ❌
I need some help guys qwq
Answers
The surface area of the triangular prism is of 162 cm².
What is the surface area of a prism?The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.Two right triangles, of sides 6 cm and 4 cm.For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
More can be learned about surface area at https://brainly.com/question/26702574
#SPJ1
A certain quadratic function has the factors
(2x - 5)
and
(3x + 4)
. What are the zeros of the function?
a. x=-2 and x=-3
b. x=2/5 and x= 4/3
c. x=5 and x=-4
d. x=5/2 and x = -4/3
Answers
Answer:
D
Step-by-step explanation:
If those two functions are the factors of a quadratic, then each of them can be equated to 0 to find the roots. Sometimes the roots are called the zeros.
2x - 5 = 0 Add 5 to both sides
2x - 5 + 5 = 0 + 5 Combine
2x = 5 Divide both sides by 2
2x/2 = 5/2
x = 5/2
You don't really have to find the other factor's 0 point. There is only 1 option that makes x = 5/2. On a test, it is important to take short cuts and save time. I'll find the other root anyway because this is not a test.
3x + 4 = 0 Subtract 4 from both sides
3x + 4-4 = 0 - 4 Combine
3x = - 4 Divide both sides by 3
3x/3 = - 4/3
x = - 4/3
Can someone help me this is Algebra 2 thank you
Answers
Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Step-by-step explanation:
The commutative property of multiplication and the rules of exponents apply.
Product of exponentsThe rule is ...
(a^b)^c = a^(bc)
ApplicationThe given expression can be rearranged to ...
[tex]\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}[/tex]
please help i dont know to do it please help
Answers
Answer:
5/10
Step-by-step explanation:
0.5 is 5/10 as a decimal. Any number that can be written as a fraction or a ratio is a rational number, so, since 0.5 can be written as 5/10, it’s a rational number.
• Evaluate the expression 16n+4 when n=5
Answers
Answer:
84
Step-by-step explanation:
substitute n = 5 into the expression
16n + 4
= 16(5) + 4
= 80 + 4
= 84
Answer:
The expression will have the value of 84
Step-by-step explanation:
Greetings ![tex]16n + 4[/tex]
given expression
Thus, plug n=5
[tex]16(5) + 4 \\ 80 + 4 = 84[/tex]
Finally, we get the value 84
Solve the proportion.
A. 12
B. 2
C. 8
D. 16
Answers
D. 16
Cross multiply, to cancel the denominator; so if you multiple by 6 on one side, to cancel the division of 6 - you must also multiply the other side by 6 & vice versa.
You get:
8(x-4) = 6x
Expand bracket to get:
8x - 32
Now solve for x :
8x - 32 = 6x
- 8x
- 32. = - 2x
÷ - 2
16 = x
Or
8x - 32 = 6x
+ 32
8x. = 6x + 32
- 6x
2x. = 32
÷2
x =16
Check:
16 - 4 = 12, then ÷ 6 is 2
16/8 = 2
Hope this helps!
Graph y=8.5x PLS VERY URGENT ANSWER QUICKLY!!!!!!!!!!!!!!!!
Answers
The slope of the line is 8.5 and the y-intercept is at the origin as shown in the graph below.
Graph of a linear functionA linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y=8.5x
The slope of the line is 8.5 and the y-intercept is at the origin as shown in the graph below.
Learn more on equation of a line here: https://brainly.com/question/13763238
#SPJ1
PLEASE HELP IM STUCK
Answers
Answer:
y= 2x + 10
Step-by-step explanation:
The variable depends on the $2 so, the green box should be 2
The table shown below gives the estimated number of text messages sent in the U.S. by year. Approximately how many times as many text messages were sent in the U.S. in 201120112011 as in 200520052005?
Answers
The approximate number of text messages sent in 2011 is 2 x 10^1.
What is the approximate number of text messages sent in 2011 ?Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
118, 000, 000, 000 in scientific notation is 1,18 x 10^11
2,357, 000, 000, 000 in scientific notation is 2.357 x 10^12
Difference in messages sent in 2011 compared to 2005 : (2.357 / 1.18) x 10^(12 - 11)
2 x 10^1
To learn more about scientific notation, please check: brainly.com/question/25334755
#SPJ1
I need help with this
Answers
Answer:
? = 4 units
Step-by-step explanation:
'2' is to ' 7+2 ' as ? is to '14 + ? '
2/ 9 = ? / (14 + ?) cross mutiply
28 + 2? = 9?
28 = 7?
? = 4
Farid spends of his monthly salary every month. If he spends RM280 for house rent that is 40% from his total 8 monthly expenditure, how much is his monthly salary?
Answers
Answer:
Step-by-step explanation:
RM 280 = 40% of 8 months
RM 700= 100% of 8 months
RM 700/8= 8 months
RM 87.5 = 1 month
Answer = 87.5
Farid's monthly salary is approximately RM 87.5. He spends 40% of his total 8-month expenditure on house rent, which amounts to RM 280 per month.
Let's assume Farid's monthly salary is RM x.
Given that he spends 40% of his total 8 monthly expenditure on house rent, and the amount he spends on house rent is RM 280, we can set up the following equation:
0.40 × 8x = 280
Now, let's solve for x:
0.40 × 8x = 280
3.2 × x = 280
x = 280 / 3.2
x ≈ 87.5
So, Farid's monthly salary is approximately RM 87.5.
To know more about monthly salary:
https://brainly.com/question/30860806
#SPJ2
M angle JKL=
Help me please! Asap thanks so much :)
Answers
The measure of the angle <JKL is 56 degrees
Tangent secant theorem of a circleThe theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given the following parameters
m<IL = 112 degrees
Since the measure of the vertex is half the measure of its intercepted arc, hence;
<JKl = 1/2(m<IL)
Substitute the given parameters into the formula to have;
<JKl = 1/2(112)
<JKL = 56 degrees
Hence the measure of the angle <JKL is 56 degrees
Learn more on Tangent secant theorem here: https://brainly.com/question/26826991
#SPJ1
An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, were taken from the four populations. The degrees of freedom for the numerator and denominator for the critical value of F are ________.
Answers
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
The samples, each comprised of 15 observations, were taken from the four populations.
How to find the degrees of freedom?The determine the degrees of freedom for the numerator and denominator for the critical value of F is given below:
k = 4
n = 15
Total degree of freedom;
= nk - 1
= 59
For numerator, it is
= k -1
= 4 - 1
= 3
For denominator it is
= T - (k -1 )
= 59 - 3
= 56
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
Learn more about the degrees of freedom;
https://brainly.com/question/24245834
#SPJ1
Larisa earns $7 per hour.she worked 40 hours at the regular rate, 3 hours at time and half, and 6 hours at double time.
Answers
Answer:
$6.07/hr. if I understand the question properly. See below.
Step-by-step explanation:
I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.
==================================
Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:
Hours Rate($/hr)
40 x
3 1.5x
6 2x
49
Her total income over this period would be:
40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]
Her average income per hour would be:
(40x +3(1.5x) + 6(2x))/49
which we are told is $7/hr.
(40x +3(1.5x) + 6(2x))/49 = 7
40x + 4.5x + 12x = 343
56.5x = 343
x = $6.07/hr
What are the steps to my answer?
Answers
Answer:
f[g(x)] = 4x²+6x-3Step-by-step explanation:
f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)f[g(x)]=4x²+6x-3...simplifiedHow many faces, edges and vertices does the shape below have?
Faces:
Edges:
Vertices:
Answers
Edges:15
Vertices:10
In the circle below, O is the center, MP is a diameter, and m angle M O L equals 45 degrees. Find the measure of L N M.
Answers
Check the picture below.
What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3?
Answers
Answer:
y = -5/3 - 8
Step-by-step explanation:
We want to write this in the form y = mx + b. We need to find the m (slope) and the b (y-intercept) , Whew, they already gave us the slope, so we are have way there. I will plug in the x and y that we are given from the point (-6, 8) to solve for b.
y = mx + b
8 = -5/3(-6) + b Multiply the fraction by -6
8 = 30/3 + b I can make 6 a fraction by writing it 6/1 and then just multiply straight across. A negative times a negative is a positive.
8 = 10 + b 30/3 is equal to 10. Now subtract 10 from both sides to get b
-8 = b
I can now write the equations since I now know m and b.
y = -5/3 + (-8) which is the same as y = -5/3 - 8. Adding a negative is the same as subtracting a positive.
a green grocer had 623 oranges. He packed them in cartons, which could only take 11 oranges or 12 oranges respectively, and no oranges remained. How many cartons had 12 oranges only?
Answers
Answer:51 crates could have 12 oranges and one crate could hold 11 oranges.
Step-by-step explanation: 623 / 12 is 51.9... 51 x 12 is 612. 612 + 11 is 623 math checks out.
When mutex lock is implemented as a binary semaphore, what should its value be initialized to be?
a) 0
b) 1
c) -1
d) none of the above